From f4c162e278ddac891fa0d0d2cd508c9e0b3145e5 Mon Sep 17 00:00:00 2001
From: "Documenter.jl" <documenter@juliadocs.github.io>
Date: Sun, 6 Oct 2024 14:45:08 +0000
Subject: [PATCH] build based on 94b0351

---
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 dev/api.html                                  |  18 +++++-----
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 ...bixz.DuBHk1fh.png => svktjgf.DuBHk1fh.png} | Bin
 ...uwfc.D9AE7i2o.png => thxfble.D9AE7i2o.png} | Bin
 dev/assets/tqkcbnu.Sawrgm2c.png               | Bin 63308 -> 0 bytes
 ...utorials_creating_geometry.md.BTBCrl8q.js} |   2 +-
 ...als_creating_geometry.md.BTBCrl8q.lean.js} |   2 +-
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 ...=> tutorials_spatial_joins.md.BlaPD1R3.js} |   2 +-
 ...torials_spatial_joins.md.BlaPD1R3.lean.js} |   2 +-
 dev/assets/uwwxcdv.CwTFuyyb.png               | Bin 78150 -> 0 bytes
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 dev/call_notes.html                           |  10 +++---
 dev/experiments/accurate_accumulators.html    |  10 +++---
 dev/experiments/predicates.html               |  12 +++----
 dev/explanations/crs.html                     |  10 +++---
 dev/explanations/paradigms.html               |  10 +++---
 dev/explanations/peculiarities.html           |  10 +++---
 dev/explanations/winding_order.html           |  10 +++---
 dev/hashmap.json                              |   2 +-
 dev/index.html                                |  10 +++---
 dev/introduction.html                         |  10 +++---
 dev/source/GeometryOps.html                   |  10 +++---
 .../GeometryOpsFlexiJoinsExt.html             |  10 +++---
 .../GeometryOpsLibGEOSExt.html                |  10 +++---
 dev/source/GeometryOpsLibGEOSExt/buffer.html  |  10 +++---
 .../GeometryOpsLibGEOSExt/segmentize.html     |  10 +++---
 .../simple_overrides.html                     |  10 +++---
 .../GeometryOpsLibGEOSExt/simplify.html       |  10 +++---
 .../GeometryOpsProjExt.html                   |  10 +++---
 dev/source/GeometryOpsProjExt/reproject.html  |  10 +++---
 dev/source/GeometryOpsProjExt/segmentize.html |  10 +++---
 dev/source/methods/angles.html                |  12 +++----
 dev/source/methods/area.html                  |  14 ++++----
 dev/source/methods/barycentric.html           |  12 +++----
 dev/source/methods/buffer.html                |  10 +++---
 dev/source/methods/centroid.html              |  14 ++++----
 .../methods/clipping/clipping_processor.html  |  10 +++---
 dev/source/methods/clipping/coverage.html     |  12 +++----
 dev/source/methods/clipping/cut.html          |  12 +++----
 dev/source/methods/clipping/difference.html   |  10 +++---
 dev/source/methods/clipping/intersection.html |  10 +++---
 dev/source/methods/clipping/predicates.html   |  10 +++---
 dev/source/methods/clipping/union.html        |  10 +++---
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 dev/source/methods/distance.html              |  14 ++++----
 dev/source/methods/equals.html                |  12 +++----
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 dev/source/methods/geom_relations/covers.html |  12 +++----
 .../methods/geom_relations/crosses.html       |  10 +++---
 .../methods/geom_relations/disjoint.html      |  12 +++----
 .../geom_relations/geom_geom_processors.html  |  10 +++---
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 .../methods/geom_relations/touches.html       |  12 +++----
 dev/source/methods/geom_relations/within.html |  12 +++----
 dev/source/methods/orientation.html           |  10 +++---
 dev/source/methods/polygonize.html            |  10 +++---
 dev/source/not_implemented_yet.html           |  10 +++---
 dev/source/primitives.html                    |  10 +++---
 dev/source/src/GeometryOpsCore.html           |  10 +++---
 dev/source/src/apply.html                     |  10 +++---
 dev/source/src/applyreduce.html               |  10 +++---
 dev/source/src/geometry_utils.html            |  10 +++---
 dev/source/src/keyword_docs.html              |  10 +++---
 dev/source/src/other_primitives.html          |  10 +++---
 dev/source/src/types.html                     |  24 +++++++------
 .../correction/closed_ring.html               |  10 +++---
 .../correction/geometry_correction.html       |  10 +++---
 .../correction/intersecting_polygons.html     |  10 +++---
 dev/source/transformations/extent.html        |  10 +++---
 dev/source/transformations/flip.html          |  10 +++---
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 dev/source/transformations/segmentize.html    |  14 ++++----
 dev/source/transformations/simplify.html      |  18 +++++-----
 dev/source/transformations/transform.html     |  10 +++---
 dev/source/transformations/tuples.html        |  10 +++---
 dev/source/types.html                         |  10 +++---
 dev/source/utils.html                         |  10 +++---
 dev/tutorials/creating_geometry.html          |  32 +++++++++---------
 dev/tutorials/geodesic_paths.html             |  12 +++----
 dev/tutorials/spatial_joins.html              |  16 ++++-----
 270 files changed, 615 insertions(+), 609 deletions(-)
 rename dev/assets/{api.md.Bk3hzA-P.js => api.md.rwOlNC64.js} (98%)
 rename dev/assets/{api.md.Bk3hzA-P.lean.js => api.md.rwOlNC64.lean.js} (98%)
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 rename dev/assets/{call_notes.md.CbnJ0VFx.lean.js => call_notes.md.4XfLIuCb.js} (98%)
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 create mode 100644 dev/assets/chunks/@localSearchIndexroot.BIJELIzt.js
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 create mode 100644 dev/assets/chunks/framework.B_n_RGhH.js
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 rename dev/assets/chunks/{theme.D9kCPeTG.js => theme.D6URMT7s.js} (99%)
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 rename dev/assets/{experiments_accurate_accumulators.md.DuCPtDRZ.js => experiments_accurate_accumulators.md.M4qZ7KkV.js} (98%)
 rename dev/assets/{experiments_accurate_accumulators.md.DuCPtDRZ.lean.js => experiments_accurate_accumulators.md.M4qZ7KkV.lean.js} (98%)
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code</span><span class="vpi-chevron-down text-icon" data-v-e5380155></span></span></button><div class="menu" data-v-e5380155><div class="VPMenu" data-v-e5380155 data-v-7dd3104a><div class="items" data-v-7dd3104a><!--[--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-8b74d055><!--[-->GeometryOps.jl<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Methods</p><!--[--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-8b74d055><!--[-->Angles<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/area" data-v-8b74d055><!--[-->Area and signed area<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-8b74d055><!--[-->Barycentric coordinates<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-8b74d055><!--[-->Buffer<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-8b74d055><!--[-->Centroid<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-8b74d055><!--[-->Convex hull<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-8b74d055><!--[-->Distance and signed distance<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-8b74d055><!--[-->Equals<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-8b74d055><!--[-->Orientation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-8b74d055><!--[-->Polygonizing raster data<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-8b74d055><!--[-->Not implemented yet<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/primitives" data-v-8b74d055><!--[-->source/primitives<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Transformations</p><!--[--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-8b74d055><!--[-->Extent embedding<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-8b74d055><!--[-->Coordinate flipping<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-8b74d055><!--[-->Geometry reprojection<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-8b74d055><!--[-->Segmentize<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-8b74d055><!--[-->Geometry simplification<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-8b74d055><!--[-->Pointwise transformation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-8b74d055><!--[-->Tuple conversion<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/types" data-v-8b74d055><!--[-->Types<!--]--></a></div><!--]--><!--[--><div 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href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div class="content" data-v-b38bf2ff><div class="outline-marker" data-v-b38bf2ff></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-b38bf2ff>On this page</div><ul class="VPDocOutlineItem root" data-v-b38bf2ff data-v-3f927ebe><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-6d7b3c46></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-83890dd9><div class="content-container" data-v-83890dd9><!--[--><!--]--><main class="main" data-v-83890dd9><div style="position:relative;" class="vp-doc _GeometryOps_jl_dev_api" data-v-83890dd9><div><h1 id="Full-GeometryOps-API-documentation" tabindex="-1">Full GeometryOps API documentation <a class="header-anchor" href="#Full-GeometryOps-API-documentation" aria-label="Permalink to &quot;Full GeometryOps API documentation {#Full-GeometryOps-API-documentation}&quot;">​</a></h1><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>This page is still very much WIP!</p></div><p>Documentation for <a href="https://github.com/JuliaGeo/GeometryOps.jl" target="_blank" rel="noreferrer">GeometryOps</a>&#39;s full API (only for reference!).</p><ul><li><a href="#GeometryOps.AbstractBarycentricCoordinateMethod"><code>GeometryOps.AbstractBarycentricCoordinateMethod</code></a></li><li><a href="#GeometryOps.ClosedRing"><code>GeometryOps.ClosedRing</code></a></li><li><a href="#GeometryOps.DiffIntersectingPolygons"><code>GeometryOps.DiffIntersectingPolygons</code></a></li><li><a href="#GeometryOps.DouglasPeucker"><code>GeometryOps.DouglasPeucker</code></a></li><li><a href="#GeometryOps.GEOS"><code>GeometryOps.GEOS</code></a></li><li><a href="#GeometryOps.GeodesicSegments"><code>GeometryOps.GeodesicSegments</code></a></li><li><a href="#GeometryOps.GeometryCorrection"><code>GeometryOps.GeometryCorrection</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.BoolsAsTypes"><code>GeometryOps.GeometryOpsCore.BoolsAsTypes</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Geodesic"><code>GeometryOps.GeometryOpsCore.Geodesic</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Linear"><code>GeometryOps.GeometryOpsCore.Linear</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Manifold"><code>GeometryOps.GeometryOpsCore.Manifold</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Spherical"><code>GeometryOps.GeometryOpsCore.Spherical</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.TraitTarget"><code>GeometryOps.GeometryOpsCore.TraitTarget</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._False"><code>GeometryOps.GeometryOpsCore._False</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._True"><code>GeometryOps.GeometryOpsCore._True</code></a></li><li><a href="#GeometryOps.LineOrientation"><code>GeometryOps.LineOrientation</code></a></li><li><a href="#GeometryOps.LinearSegments"><code>GeometryOps.LinearSegments</code></a></li><li><a href="#GeometryOps.MeanValue"><code>GeometryOps.MeanValue</code></a></li><li><a href="#GeometryOps.MonotoneChainMethod"><code>GeometryOps.MonotoneChainMethod</code></a></li><li><a href="#GeometryOps.PointOrientation"><code>GeometryOps.PointOrientation</code></a></li><li><a href="#GeometryOps.RadialDistance"><code>GeometryOps.RadialDistance</code></a></li><li><a href="#GeometryOps.SimplifyAlg"><code>GeometryOps.SimplifyAlg</code></a></li><li><a href="#GeometryOps.UnionIntersectingPolygons"><code>GeometryOps.UnionIntersectingPolygons</code></a></li><li><a href="#GeometryOps.VisvalingamWhyatt"><code>GeometryOps.VisvalingamWhyatt</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._booltype"><code>GeometryOps.GeometryOpsCore._booltype</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target&lt;:GeoInterface.AbstractTrait"><code>GeometryOps.GeometryOpsCore.flatten</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.rebuild-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.rebuild</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.reconstruct-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.reconstruct</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.unwrap"><code>GeometryOps.GeometryOpsCore.unwrap</code></a></li><li><a href="#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps._det</code></a></li><li><a href="#GeometryOps._equals_curves-NTuple{4, Any}"><code>GeometryOps._equals_curves</code></a></li><li><a href="#GeometryOps.angles"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.area"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.barycentric_coordinates"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!-Tuple{Vector{&lt;:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_interpolate"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_area</code></a></li><li><a href="#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_length</code></a></li><li><a href="#GeometryOps.contains-Tuple{Any, Any}"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.contains"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.convex_hull"><code>GeometryOps.convex_hull</code></a></li><li><a href="#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.coverage</code></a></li><li><a href="#GeometryOps.coveredby-Tuple{Any, Any}"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.coveredby"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.covers"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.covers-Tuple{Any, Any}"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.crosses"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.crosses-Tuple{Any, Any}"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.cut</code></a></li><li><a href="#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.difference</code></a></li><li><a href="#GeometryOps.disjoint-Tuple{Any, Any}"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.disjoint"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.distance"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.embed_extent-Tuple{Any}"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.embed_extent"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"><code>GeometryOps.enforce</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Any, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-NTuple{4, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.flip-Tuple{Any}"><code>GeometryOps.flip</code></a></li><li><a href="#GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection</code></a></li><li><a href="#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection_points</code></a></li><li><a href="#GeometryOps.intersects"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.intersects-Tuple{Any, Any}"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.isclockwise-Tuple{Any}"><code>GeometryOps.isclockwise</code></a></li><li><a href="#GeometryOps.isconcave-Tuple{Any}"><code>GeometryOps.isconcave</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Any, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.polygon_to_line-Tuple{Any}"><code>GeometryOps.polygon_to_line</code></a></li><li><a href="#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"><code>GeometryOps.polygonize</code></a></li><li><a href="#GeometryOps.reproject"><code>GeometryOps.reproject</code></a></li><li><a href="#GeometryOps.segmentize-Tuple{Any}"><code>GeometryOps.segmentize</code></a></li><li><a href="#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_area"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.signed_distance"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"><code>GeometryOps.simplify</code></a></li><li><a href="#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps.t_value</code></a></li><li><a href="#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.to_edges</code></a></li><li><a href="#GeometryOps.touches-Tuple{Any, Any}"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.touches"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.transform-Tuple{Any, Any}"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.transform"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.tuples</code></a></li><li><a href="#GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.union</code></a></li><li><a href="#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT&lt;:Real"><code>GeometryOps.weighted_mean</code></a></li><li><a href="#GeometryOps.within-Tuple{Any, Any}"><code>GeometryOps.within</code></a></li><li><a href="#GeometryOps.within"><code>GeometryOps.within</code></a></li></ul><h2 id="apply-and-associated-functions" tabindex="-1"><code>apply</code> and associated functions <a class="header-anchor" href="#apply-and-associated-functions" aria-label="Permalink to &quot;`apply` and associated functions {#apply-and-associated-functions}&quot;">​</a></h2><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.apply" href="#GeometryOps.GeometryOpsCore.apply"><span class="jlbinding">GeometryOps.GeometryOpsCore.apply</span></a> <span class="VPBadge info jlObjectType jlFunction"><!--[-->Function<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
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data-v-18756405><span class="visually-hidden" id="sidebar-aria-label" data-v-18756405> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 has-active" data-v-9e426adc data-v-196b2e5f><!----><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/introduction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Introduction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/api" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>API 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data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Spatial Joins</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Explanations</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div class="content" data-v-b38bf2ff><div class="outline-marker" data-v-b38bf2ff></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-b38bf2ff>On this page</div><ul class="VPDocOutlineItem root" data-v-b38bf2ff data-v-3f927ebe><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-6d7b3c46></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-83890dd9><div class="content-container" data-v-83890dd9><!--[--><!--]--><main class="main" data-v-83890dd9><div style="position:relative;" class="vp-doc _GeometryOps_jl_dev_api" data-v-83890dd9><div><h1 id="Full-GeometryOps-API-documentation" tabindex="-1">Full GeometryOps API documentation <a class="header-anchor" href="#Full-GeometryOps-API-documentation" aria-label="Permalink to &quot;Full GeometryOps API documentation {#Full-GeometryOps-API-documentation}&quot;">​</a></h1><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>This page is still very much WIP!</p></div><p>Documentation for <a href="https://github.com/JuliaGeo/GeometryOps.jl" target="_blank" rel="noreferrer">GeometryOps</a>&#39;s full API (only for reference!).</p><ul><li><a href="#GeometryOps.AbstractBarycentricCoordinateMethod"><code>GeometryOps.AbstractBarycentricCoordinateMethod</code></a></li><li><a href="#GeometryOps.ClosedRing"><code>GeometryOps.ClosedRing</code></a></li><li><a href="#GeometryOps.DiffIntersectingPolygons"><code>GeometryOps.DiffIntersectingPolygons</code></a></li><li><a href="#GeometryOps.DouglasPeucker"><code>GeometryOps.DouglasPeucker</code></a></li><li><a href="#GeometryOps.GEOS"><code>GeometryOps.GEOS</code></a></li><li><a href="#GeometryOps.GeodesicSegments"><code>GeometryOps.GeodesicSegments</code></a></li><li><a href="#GeometryOps.GeometryCorrection"><code>GeometryOps.GeometryCorrection</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.BoolsAsTypes"><code>GeometryOps.GeometryOpsCore.BoolsAsTypes</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Geodesic"><code>GeometryOps.GeometryOpsCore.Geodesic</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Manifold"><code>GeometryOps.GeometryOpsCore.Manifold</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Planar"><code>GeometryOps.GeometryOpsCore.Planar</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Spherical"><code>GeometryOps.GeometryOpsCore.Spherical</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.TraitTarget"><code>GeometryOps.GeometryOpsCore.TraitTarget</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._False"><code>GeometryOps.GeometryOpsCore._False</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._True"><code>GeometryOps.GeometryOpsCore._True</code></a></li><li><a href="#GeometryOps.LineOrientation"><code>GeometryOps.LineOrientation</code></a></li><li><a href="#GeometryOps.LinearSegments"><code>GeometryOps.LinearSegments</code></a></li><li><a href="#GeometryOps.MeanValue"><code>GeometryOps.MeanValue</code></a></li><li><a href="#GeometryOps.MonotoneChainMethod"><code>GeometryOps.MonotoneChainMethod</code></a></li><li><a href="#GeometryOps.PointOrientation"><code>GeometryOps.PointOrientation</code></a></li><li><a href="#GeometryOps.RadialDistance"><code>GeometryOps.RadialDistance</code></a></li><li><a href="#GeometryOps.SimplifyAlg"><code>GeometryOps.SimplifyAlg</code></a></li><li><a href="#GeometryOps.UnionIntersectingPolygons"><code>GeometryOps.UnionIntersectingPolygons</code></a></li><li><a href="#GeometryOps.VisvalingamWhyatt"><code>GeometryOps.VisvalingamWhyatt</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._booltype"><code>GeometryOps.GeometryOpsCore._booltype</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target&lt;:GeoInterface.AbstractTrait"><code>GeometryOps.GeometryOpsCore.flatten</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.rebuild-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.rebuild</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.reconstruct-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.reconstruct</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.unwrap"><code>GeometryOps.GeometryOpsCore.unwrap</code></a></li><li><a href="#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps._det</code></a></li><li><a href="#GeometryOps._equals_curves-NTuple{4, Any}"><code>GeometryOps._equals_curves</code></a></li><li><a href="#GeometryOps.angles"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.area"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.barycentric_coordinates"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!-Tuple{Vector{&lt;:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.barycentric_interpolate"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_area</code></a></li><li><a href="#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_length</code></a></li><li><a href="#GeometryOps.contains-Tuple{Any, Any}"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.contains"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.convex_hull"><code>GeometryOps.convex_hull</code></a></li><li><a href="#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.coverage</code></a></li><li><a href="#GeometryOps.coveredby-Tuple{Any, Any}"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.coveredby"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.covers"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.covers-Tuple{Any, Any}"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.crosses"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.crosses-Tuple{Any, Any}"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.cut</code></a></li><li><a href="#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.difference</code></a></li><li><a href="#GeometryOps.disjoint-Tuple{Any, Any}"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.disjoint"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.distance"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.embed_extent-Tuple{Any}"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.embed_extent"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"><code>GeometryOps.enforce</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Any, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-NTuple{4, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.flip-Tuple{Any}"><code>GeometryOps.flip</code></a></li><li><a href="#GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection</code></a></li><li><a href="#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection_points</code></a></li><li><a href="#GeometryOps.intersects"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.intersects-Tuple{Any, Any}"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.isclockwise-Tuple{Any}"><code>GeometryOps.isclockwise</code></a></li><li><a href="#GeometryOps.isconcave-Tuple{Any}"><code>GeometryOps.isconcave</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Any, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.polygon_to_line-Tuple{Any}"><code>GeometryOps.polygon_to_line</code></a></li><li><a href="#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"><code>GeometryOps.polygonize</code></a></li><li><a href="#GeometryOps.reproject"><code>GeometryOps.reproject</code></a></li><li><a href="#GeometryOps.segmentize-Tuple{Any}"><code>GeometryOps.segmentize</code></a></li><li><a href="#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_area"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.signed_distance"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"><code>GeometryOps.simplify</code></a></li><li><a href="#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps.t_value</code></a></li><li><a href="#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.to_edges</code></a></li><li><a href="#GeometryOps.touches-Tuple{Any, Any}"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.touches"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.transform-Tuple{Any, Any}"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.transform"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.tuples</code></a></li><li><a href="#GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.union</code></a></li><li><a href="#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT&lt;:Real"><code>GeometryOps.weighted_mean</code></a></li><li><a href="#GeometryOps.within-Tuple{Any, Any}"><code>GeometryOps.within</code></a></li><li><a href="#GeometryOps.within"><code>GeometryOps.within</code></a></li></ul><h2 id="apply-and-associated-functions" tabindex="-1"><code>apply</code> and associated functions <a class="header-anchor" href="#apply-and-associated-functions" aria-label="Permalink to &quot;`apply` and associated functions {#apply-and-associated-functions}&quot;">​</a></h2><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.apply" href="#GeometryOps.GeometryOpsCore.apply"><span class="jlbinding">GeometryOps.GeometryOpsCore.apply</span></a> <span class="VPBadge info jlObjectType jlFunction"><!--[-->Function<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]),</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                   GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
@@ -287,15 +287,15 @@
 <span class="line"><span>- The angles of a multi-geometry collection is a vector of the angles of each of the</span></span>
 <span class="line"><span>    sub-geometries as defined above.</span></span></code></pre></div><p>Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/angles.jl#L33-L48" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.embed_extent" href="#GeometryOps.embed_extent"><span class="jlbinding">GeometryOps.embed_extent</span></a> <span class="VPBadge info jlObjectType jlFunction"><!--[-->Function<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p></details><h2 id="Barycentric-coordinates" tabindex="-1">Barycentric coordinates <a class="header-anchor" href="#Barycentric-coordinates" aria-label="Permalink to &quot;Barycentric coordinates {#Barycentric-coordinates}&quot;">​</a></h2><details class="jldocstring custom-block" open><summary><a id="GeometryOps.barycentric_coordinates" href="#GeometryOps.barycentric_coordinates"><span class="jlbinding">GeometryOps.barycentric_coordinates</span></a> <span class="VPBadge info jlObjectType jlFunction"><!--[-->Function<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.barycentric_coordinates!" href="#GeometryOps.barycentric_coordinates!"><span class="jlbinding">GeometryOps.barycentric_coordinates!</span></a> <span class="VPBadge info jlObjectType jlFunction"><!--[-->Function<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.barycentric_interpolate" href="#GeometryOps.barycentric_interpolate"><span class="jlbinding">GeometryOps.barycentric_interpolate</span></a> <span class="VPBadge info jlObjectType jlFunction"><!--[-->Function<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p></details><h2 id="Other-methods" tabindex="-1">Other methods <a class="header-anchor" href="#Other-methods" aria-label="Permalink to &quot;Other methods {#Other-methods}&quot;">​</a></h2><details class="jldocstring custom-block" open><summary><a id="GeometryOps.AbstractBarycentricCoordinateMethod" href="#GeometryOps.AbstractBarycentricCoordinateMethod"><span class="jlbinding">GeometryOps.AbstractBarycentricCoordinateMethod</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.</p><p><strong>API</strong></p><p>The following methods must be implemented for all subtypes:</p><ul><li><p><code>barycentric_coordinates!(λs::Vector{&lt;: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, point::Point{2, T2})</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, interiors::Vector{&lt;: Vector{&lt;: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V</code></p></li></ul><p>The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L108-L121" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.ClosedRing" href="#GeometryOps.ClosedRing"><span class="jlbinding">GeometryOps.ClosedRing</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">ClosedRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that a polygon&#39;s exterior and interior rings are closed.</p><p>It can be called on any geometry correction as usual.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/closed_ring.jl#L38-L46" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.DiffIntersectingPolygons" href="#GeometryOps.DiffIntersectingPolygons"><span class="jlbinding">GeometryOps.DiffIntersectingPolygons</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DiffIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygons included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be made nonintersecting through the <a href="/GeometryOps.jl/dev/api#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>difference</code></a> operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.UnionIntersectingPolygons"><code>UnionIntersectingPolygons</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L92-L99" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.DouglasPeucker" href="#GeometryOps.DouglasPeucker"><span class="jlbinding">GeometryOps.DouglasPeucker</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">DouglasPeucker </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DouglasPeucker</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; number, ratio, tol)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance a point will be from the line joining its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L279-L289" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GEOS" href="#GeometryOps.GEOS"><span class="jlbinding">GeometryOps.GEOS</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; params</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>Dispatch is generally carried out using the names of the keyword arguments. For example, <code>segmentize</code> will only accept a <code>GEOS</code> struct with only a <code>max_distance</code> keyword, and no other.</p><p>It&#39;s generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/types.jl#L26-L38" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeodesicSegments" href="#GeometryOps.GeodesicSegments"><span class="jlbinding">GeometryOps.GeodesicSegments</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GeodesicSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, equatorial_radius</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6378137</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, flattening</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">298.257223563</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.</p></div><p><strong>Arguments</strong></p><ul><li><p><code>max_distance::Real</code>: The maximum distance, <strong>in meters</strong>, between vertices in the geometry.</p></li><li><p><code>equatorial_radius::Real=6378137</code>: The equatorial radius of the Earth, in meters. Passed to <code>Proj.geod_geodesic</code>.</p></li><li><p><code>flattening::Real=1/298.257223563</code>: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to <code>Proj.geod_geodesic</code>.</p></li></ul><p>One can also omit the <code>equatorial_radius</code> and <code>flattening</code> keyword arguments, and pass a <code>geodesic</code> object directly to the eponymous keyword.</p><p>This method uses the Proj/GeographicLib API for geodesic calculations.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L123-L140" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryCorrection" href="#GeometryOps.GeometryCorrection"><span class="jlbinding">GeometryOps.GeometryCorrection</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.BoolsAsTypes" href="#GeometryOps.GeometryOpsCore.BoolsAsTypes"><span class="jlbinding">GeometryOps.GeometryOpsCore.BoolsAsTypes</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BoolsAsTypes</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L134-L137" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.Geodesic" href="#GeometryOps.GeometryOpsCore.Geodesic"><span class="jlbinding">GeometryOps.GeometryOpsCore.Geodesic</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Geodesic</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; semimajor_axis, inv_flattening)</span></span></code></pre></div><p>A geodesic manifold means that the geometry is on a 3-dimensional ellipsoid, parameterized by <code>semimajor_axis</code> (<mjx-container class="MathJax" jax="SVG" style="direction:ltr;position:relative;"><svg style="overflow:visible;min-height:1px;min-width:1px;vertical-align:-0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z" style="stroke-width:3;"></path></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline" style="top:0px;left:0px;clip:rect(1px, 1px, 1px, 1px);-webkit-touch-callout:none;-webkit-user-select:none;-khtml-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;position:absolute;padding:1px 0px 0px 0px;border:0px;display:block;width:auto;overflow:hidden;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></mjx-assistive-mml></mjx-container> in mathematical parlance) and <code>inv_flattening</code> (<mjx-container class="MathJax" jax="SVG" style="direction:ltr;position:relative;"><svg style="overflow:visible;min-height:1px;min-width:1px;vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="3.507ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1550 1000" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" style="stroke-width:3;"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(500,0)"><g data-mml-node="mo"><path data-c="2F" d="M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z" style="stroke-width:3;"></path></g></g><g data-mml-node="mi" transform="translate(1000,0)"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z" style="stroke-width:3;"></path></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline" style="top:0px;left:0px;clip:rect(1px, 1px, 1px, 1px);-webkit-touch-callout:none;-webkit-user-select:none;-khtml-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;position:absolute;padding:1px 0px 0px 0px;border:0px;display:block;width:auto;overflow:hidden;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mrow data-mjx-texclass="ORD"><mo>/</mo></mrow><mi>f</mi></math></mjx-assistive-mml></mjx-container>).</p><p>Usually, this is only relevant for area and segmentization calculations. It becomes more relevant as one grows closer to the poles (or equator).</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L66-L73" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.Linear" href="#GeometryOps.GeometryOpsCore.Linear"><span class="jlbinding">GeometryOps.GeometryOpsCore.Linear</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Linear</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>A linear manifold means that the space is completely Euclidean, and planar geometry suffices.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L38-L43" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.Manifold" href="#GeometryOps.GeometryOpsCore.Manifold"><span class="jlbinding">GeometryOps.GeometryOpsCore.Manifold</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Manifold</span></span></code></pre></div><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>We use the manifold definition to define the space in which an operation should be performed, or where a geometry lies.</p><p>Currently we have <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Linear"><code>Linear</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Spherical"><code>Spherical</code></a>, and <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Geodesic"><code>Geodesic</code></a> manifolds.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L27-L35" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.Spherical" href="#GeometryOps.GeometryOpsCore.Spherical"><span class="jlbinding">GeometryOps.GeometryOpsCore.Spherical</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Spherical</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; radius)</span></span></code></pre></div><p>A spherical manifold means that the geometry is on the 3-sphere (but is represented by 2-D longitude and latitude).</p><p><strong>Extended help</strong></p><div class="tip custom-block"><p class="custom-block-title">Note</p><p>The traditional definition of spherical coordinates in physics and mathematics, <mjx-container class="MathJax" jax="SVG" style="direction:ltr;position:relative;"><svg style="overflow:visible;min-height:1px;min-width:1px;vertical-align:-0.464ex;" xmlns="http://www.w3.org/2000/svg" width="5.442ex" height="2.059ex" role="img" focusable="false" viewBox="0 -705 2405.3 910" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z" style="stroke-width:3;"></path></g><g data-mml-node="mo" transform="translate(451,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z" style="stroke-width:3;"></path></g><g data-mml-node="mi" transform="translate(895.7,0)"><path data-c="1D703" d="M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z" style="stroke-width:3;"></path></g><g data-mml-node="mo" transform="translate(1364.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z" style="stroke-width:3;"></path></g><g data-mml-node="mi" transform="translate(1809.3,0)"><path data-c="1D719" d="M409 688Q413 694 421 694H429H442Q448 688 448 686Q448 679 418 563Q411 535 404 504T392 458L388 442Q388 441 397 441T429 435T477 418Q521 397 550 357T579 260T548 151T471 65T374 11T279 -10H275L251 -105Q245 -128 238 -160Q230 -192 227 -198T215 -205H209Q189 -205 189 -198Q189 -193 211 -103L234 -11Q234 -10 226 -10Q221 -10 206 -8T161 6T107 36T62 89T43 171Q43 231 76 284T157 370T254 422T342 441Q347 441 348 445L378 567Q409 686 409 688ZM122 150Q122 116 134 91T167 53T203 35T237 27H244L337 404Q333 404 326 403T297 395T255 379T211 350T170 304Q152 276 137 237Q122 191 122 150ZM500 282Q500 320 484 347T444 385T405 400T381 404H378L332 217L284 29Q284 27 285 27Q293 27 317 33T357 47Q400 66 431 100T475 170T494 234T500 282Z" style="stroke-width:3;"></path></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline" style="top:0px;left:0px;clip:rect(1px, 1px, 1px, 1px);-webkit-touch-callout:none;-webkit-user-select:none;-khtml-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;position:absolute;padding:1px 0px 0px 0px;border:0px;display:block;width:auto;overflow:hidden;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>,</mo><mi>θ</mi><mo>,</mo><mi>ϕ</mi></math></mjx-assistive-mml></mjx-container>, uses the <em>colatitude</em>, that measures angular displacement from the <code>z</code>-axis.</p><p>Here, we use the geographic definition of longitude and latitude, meaning that <code>lon</code> is longitude between -180 and 180, and <code>lat</code> is latitude between <code>-90</code> (south pole) and <code>90</code> (north pole).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L47-L61" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.TraitTarget" href="#GeometryOps.GeometryOpsCore.TraitTarget"><span class="jlbinding">GeometryOps.GeometryOpsCore.TraitTarget</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">TraitTarget{T}</span></span></code></pre></div><p>This struct holds a trait parameter or a union of trait parameters.</p><p>It is primarily used for dispatch into methods which select trait levels, like <code>apply</code>, or as a parameter to <code>target</code>.</p><p><strong>Constructors</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">())</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DouglasPeucker</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; number, ratio, tol)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance a point will be from the line joining its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L279-L289" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GEOS" href="#GeometryOps.GEOS"><span class="jlbinding">GeometryOps.GEOS</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; params</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>Dispatch is generally carried out using the names of the keyword arguments. For example, <code>segmentize</code> will only accept a <code>GEOS</code> struct with only a <code>max_distance</code> keyword, and no other.</p><p>It&#39;s generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/types.jl#L26-L38" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeodesicSegments" href="#GeometryOps.GeodesicSegments"><span class="jlbinding">GeometryOps.GeodesicSegments</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GeodesicSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, equatorial_radius</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6378137</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, flattening</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">298.257223563</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.</p></div><p><strong>Arguments</strong></p><ul><li><p><code>max_distance::Real</code>: The maximum distance, <strong>in meters</strong>, between vertices in the geometry.</p></li><li><p><code>equatorial_radius::Real=6378137</code>: The equatorial radius of the Earth, in meters. Passed to <code>Proj.geod_geodesic</code>.</p></li><li><p><code>flattening::Real=1/298.257223563</code>: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to <code>Proj.geod_geodesic</code>.</p></li></ul><p>One can also omit the <code>equatorial_radius</code> and <code>flattening</code> keyword arguments, and pass a <code>geodesic</code> object directly to the eponymous keyword.</p><p>This method uses the Proj/GeographicLib API for geodesic calculations.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L123-L140" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryCorrection" href="#GeometryOps.GeometryCorrection"><span class="jlbinding">GeometryOps.GeometryCorrection</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.BoolsAsTypes" href="#GeometryOps.GeometryOpsCore.BoolsAsTypes"><span class="jlbinding">GeometryOps.GeometryOpsCore.BoolsAsTypes</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BoolsAsTypes</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L136-L139" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.Geodesic" href="#GeometryOps.GeometryOpsCore.Geodesic"><span class="jlbinding">GeometryOps.GeometryOpsCore.Geodesic</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Geodesic</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; semimajor_axis, inv_flattening)</span></span></code></pre></div><p>A geodesic manifold means that the geometry is on a 3-dimensional ellipsoid, parameterized by <code>semimajor_axis</code> (<mjx-container class="MathJax" jax="SVG" style="direction:ltr;position:relative;"><svg style="overflow:visible;min-height:1px;min-width:1px;vertical-align:-0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z" style="stroke-width:3;"></path></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline" style="top:0px;left:0px;clip:rect(1px, 1px, 1px, 1px);-webkit-touch-callout:none;-webkit-user-select:none;-khtml-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;position:absolute;padding:1px 0px 0px 0px;border:0px;display:block;width:auto;overflow:hidden;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></mjx-assistive-mml></mjx-container> in mathematical parlance) and <code>inv_flattening</code> (<mjx-container class="MathJax" jax="SVG" style="direction:ltr;position:relative;"><svg style="overflow:visible;min-height:1px;min-width:1px;vertical-align:-0.566ex;" xmlns="http://www.w3.org/2000/svg" width="3.507ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1550 1000" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" style="stroke-width:3;"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(500,0)"><g data-mml-node="mo"><path data-c="2F" d="M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z" style="stroke-width:3;"></path></g></g><g data-mml-node="mi" transform="translate(1000,0)"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z" style="stroke-width:3;"></path></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline" style="top:0px;left:0px;clip:rect(1px, 1px, 1px, 1px);-webkit-touch-callout:none;-webkit-user-select:none;-khtml-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;position:absolute;padding:1px 0px 0px 0px;border:0px;display:block;width:auto;overflow:hidden;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mrow data-mjx-texclass="ORD"><mo>/</mo></mrow><mi>f</mi></math></mjx-assistive-mml></mjx-container>).</p><p>Usually, this is only relevant for area and segmentization calculations. It becomes more relevant as one grows closer to the poles (or equator).</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L68-L75" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.Manifold" href="#GeometryOps.GeometryOpsCore.Manifold"><span class="jlbinding">GeometryOps.GeometryOpsCore.Manifold</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Manifold</span></span></code></pre></div><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>We use the manifold definition to define the space in which an operation should be performed, or where a geometry lies.</p><p>Currently we have <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Planar"><code>Planar</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Spherical"><code>Spherical</code></a>, and <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Geodesic"><code>Geodesic</code></a> manifolds.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L27-L35" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.Planar" href="#GeometryOps.GeometryOpsCore.Planar"><span class="jlbinding">GeometryOps.GeometryOpsCore.Planar</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Planar</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>A planar manifold refers to the 2D Euclidean plane.</p><p>Z coordinates may be accepted but will not influence geometry calculations, which are done purely on 2D geometry. This is the standard &quot;2.5D&quot; model used by e.g. GEOS.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L38-L45" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.Spherical" href="#GeometryOps.GeometryOpsCore.Spherical"><span class="jlbinding">GeometryOps.GeometryOpsCore.Spherical</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Spherical</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; radius)</span></span></code></pre></div><p>A spherical manifold means that the geometry is on the 3-sphere (but is represented by 2-D longitude and latitude).</p><p><strong>Extended help</strong></p><div class="tip custom-block"><p class="custom-block-title">Note</p><p>The traditional definition of spherical coordinates in physics and mathematics, <mjx-container class="MathJax" jax="SVG" style="direction:ltr;position:relative;"><svg style="overflow:visible;min-height:1px;min-width:1px;vertical-align:-0.464ex;" xmlns="http://www.w3.org/2000/svg" width="5.442ex" height="2.059ex" role="img" focusable="false" viewBox="0 -705 2405.3 910" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z" style="stroke-width:3;"></path></g><g data-mml-node="mo" transform="translate(451,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z" style="stroke-width:3;"></path></g><g data-mml-node="mi" transform="translate(895.7,0)"><path data-c="1D703" d="M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z" style="stroke-width:3;"></path></g><g data-mml-node="mo" transform="translate(1364.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z" style="stroke-width:3;"></path></g><g data-mml-node="mi" transform="translate(1809.3,0)"><path data-c="1D719" d="M409 688Q413 694 421 694H429H442Q448 688 448 686Q448 679 418 563Q411 535 404 504T392 458L388 442Q388 441 397 441T429 435T477 418Q521 397 550 357T579 260T548 151T471 65T374 11T279 -10H275L251 -105Q245 -128 238 -160Q230 -192 227 -198T215 -205H209Q189 -205 189 -198Q189 -193 211 -103L234 -11Q234 -10 226 -10Q221 -10 206 -8T161 6T107 36T62 89T43 171Q43 231 76 284T157 370T254 422T342 441Q347 441 348 445L378 567Q409 686 409 688ZM122 150Q122 116 134 91T167 53T203 35T237 27H244L337 404Q333 404 326 403T297 395T255 379T211 350T170 304Q152 276 137 237Q122 191 122 150ZM500 282Q500 320 484 347T444 385T405 400T381 404H378L332 217L284 29Q284 27 285 27Q293 27 317 33T357 47Q400 66 431 100T475 170T494 234T500 282Z" style="stroke-width:3;"></path></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline" style="top:0px;left:0px;clip:rect(1px, 1px, 1px, 1px);-webkit-touch-callout:none;-webkit-user-select:none;-khtml-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;position:absolute;padding:1px 0px 0px 0px;border:0px;display:block;width:auto;overflow:hidden;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>,</mo><mi>θ</mi><mo>,</mo><mi>ϕ</mi></math></mjx-assistive-mml></mjx-container>, uses the <em>colatitude</em>, that measures angular displacement from the <code>z</code>-axis.</p><p>Here, we use the geographic definition of longitude and latitude, meaning that <code>lon</code> is longitude between -180 and 180, and <code>lat</code> is latitude between <code>-90</code> (south pole) and <code>90</code> (north pole).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L49-L63" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.TraitTarget" href="#GeometryOps.GeometryOpsCore.TraitTarget"><span class="jlbinding">GeometryOps.GeometryOpsCore.TraitTarget</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">TraitTarget{T}</span></span></code></pre></div><p>This struct holds a trait parameter or a union of trait parameters.</p><p>It is primarily used for dispatch into methods which select trait levels, like <code>apply</code>, or as a parameter to <code>target</code>.</p><p><strong>Constructors</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">())</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineStringTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRingTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()) </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># and other traits as you may like</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># There are also type based constructors available, but that&#39;s not advised.</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">PointTrait)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Union{GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LineStringTrait, GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LinearRingTrait})</span></span>
-<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># etc.</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L86-L105" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore._False" href="#GeometryOps.GeometryOpsCore._False"><span class="jlbinding">GeometryOps.GeometryOpsCore._False</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _False </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>false</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L147-L151" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore._True" href="#GeometryOps.GeometryOpsCore._True"><span class="jlbinding">GeometryOps.GeometryOpsCore._True</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _True </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>true</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L140-L144" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.LineOrientation" href="#GeometryOps.LineOrientation"><span class="jlbinding">GeometryOps.LineOrientation</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum LineOrientation</span></span></code></pre></div><p>Enum for the orientation of a line with respect to a curve. A line can be <code>line_cross</code> (crossing over the curve), <code>line_hinge</code> (crossing the endpoint of the curve), <code>line_over</code> (collinear with the curve), or <code>line_out</code> (not interacting with the curve).</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/intersection.jl#L4-L9" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.LinearSegments" href="#GeometryOps.LinearSegments"><span class="jlbinding">GeometryOps.LinearSegments</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.</p><p>Here, <code>max_distance</code> is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the <code>max_distance</code> will be in degrees of arc. If the polygon is provided in meters, then the <code>max_distance</code> will be in meters.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L110-L118" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.MeanValue" href="#GeometryOps.MeanValue"><span class="jlbinding">GeometryOps.MeanValue</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>This method calculates barycentric coordinates using the mean value method.</p><p><strong>References</strong></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L261-L268" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.MonotoneChainMethod" href="#GeometryOps.MonotoneChainMethod"><span class="jlbinding">GeometryOps.MonotoneChainMethod</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MonotoneChainMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>This is an algorithm for the <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a> function.</p><p>Uses <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer"><code>DelaunayTriangulation.jl</code></a> to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L94-L103" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.PointOrientation" href="#GeometryOps.PointOrientation"><span class="jlbinding">GeometryOps.PointOrientation</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum PointOrientation</span></span></code></pre></div><p>Enum for the orientation of a point with respect to a curve. A point can be <code>point_in</code> the curve, <code>point_on</code> the curve, or <code>point_out</code> of the curve.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/geom_geom_processors.jl#L7-L12" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.RadialDistance" href="#GeometryOps.RadialDistance"><span class="jlbinding">GeometryOps.RadialDistance</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">RadialDistance </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span></code></pre></div><p>Simplifies geometries by removing points less than <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance between points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L240-L250" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.SimplifyAlg" href="#GeometryOps.SimplifyAlg"><span class="jlbinding">GeometryOps.SimplifyAlg</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SimplifyAlg</span></span></code></pre></div><p>Abstract type for simplification algorithms.</p><p><strong>API</strong></p><p>For now, the algorithm must hold the <code>number</code>, <code>ratio</code> and <code>tol</code> properties.</p><p>Simplification algorithm types can hook into the interface by implementing the <code>_simplify(trait, alg, geom)</code> methods for whichever traits are necessary.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L115-L126" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.UnionIntersectingPolygons" href="#GeometryOps.UnionIntersectingPolygons"><span class="jlbinding">GeometryOps.UnionIntersectingPolygons</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">UnionIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygon&#39;s included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L47-L56" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.VisvalingamWhyatt" href="#GeometryOps.VisvalingamWhyatt"><span class="jlbinding">GeometryOps.VisvalingamWhyatt</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">VisvalingamWhyatt </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># etc.</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L88-L107" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore._False" href="#GeometryOps.GeometryOpsCore._False"><span class="jlbinding">GeometryOps.GeometryOpsCore._False</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _False </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>false</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L149-L153" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore._True" href="#GeometryOps.GeometryOpsCore._True"><span class="jlbinding">GeometryOps.GeometryOpsCore._True</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _True </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>true</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L142-L146" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.LineOrientation" href="#GeometryOps.LineOrientation"><span class="jlbinding">GeometryOps.LineOrientation</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum LineOrientation</span></span></code></pre></div><p>Enum for the orientation of a line with respect to a curve. A line can be <code>line_cross</code> (crossing over the curve), <code>line_hinge</code> (crossing the endpoint of the curve), <code>line_over</code> (collinear with the curve), or <code>line_out</code> (not interacting with the curve).</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/intersection.jl#L4-L9" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.LinearSegments" href="#GeometryOps.LinearSegments"><span class="jlbinding">GeometryOps.LinearSegments</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.</p><p>Here, <code>max_distance</code> is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the <code>max_distance</code> will be in degrees of arc. If the polygon is provided in meters, then the <code>max_distance</code> will be in meters.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L110-L118" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.MeanValue" href="#GeometryOps.MeanValue"><span class="jlbinding">GeometryOps.MeanValue</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>This method calculates barycentric coordinates using the mean value method.</p><p><strong>References</strong></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L261-L268" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.MonotoneChainMethod" href="#GeometryOps.MonotoneChainMethod"><span class="jlbinding">GeometryOps.MonotoneChainMethod</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MonotoneChainMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>This is an algorithm for the <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a> function.</p><p>Uses <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer"><code>DelaunayTriangulation.jl</code></a> to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L94-L103" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.PointOrientation" href="#GeometryOps.PointOrientation"><span class="jlbinding">GeometryOps.PointOrientation</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum PointOrientation</span></span></code></pre></div><p>Enum for the orientation of a point with respect to a curve. A point can be <code>point_in</code> the curve, <code>point_on</code> the curve, or <code>point_out</code> of the curve.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/geom_geom_processors.jl#L7-L12" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.RadialDistance" href="#GeometryOps.RadialDistance"><span class="jlbinding">GeometryOps.RadialDistance</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">RadialDistance </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span></code></pre></div><p>Simplifies geometries by removing points less than <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance between points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L240-L250" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.SimplifyAlg" href="#GeometryOps.SimplifyAlg"><span class="jlbinding">GeometryOps.SimplifyAlg</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SimplifyAlg</span></span></code></pre></div><p>Abstract type for simplification algorithms.</p><p><strong>API</strong></p><p>For now, the algorithm must hold the <code>number</code>, <code>ratio</code> and <code>tol</code> properties.</p><p>Simplification algorithm types can hook into the interface by implementing the <code>_simplify(trait, alg, geom)</code> methods for whichever traits are necessary.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L115-L126" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.UnionIntersectingPolygons" href="#GeometryOps.UnionIntersectingPolygons"><span class="jlbinding">GeometryOps.UnionIntersectingPolygons</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">UnionIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygon&#39;s included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L47-L56" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.VisvalingamWhyatt" href="#GeometryOps.VisvalingamWhyatt"><span class="jlbinding">GeometryOps.VisvalingamWhyatt</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">VisvalingamWhyatt </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">VisvalingamWhyatt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum area of a triangle made with a point and its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is doubled to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L415-L427" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore._booltype" href="#GeometryOps.GeometryOpsCore._booltype"><span class="jlbinding">GeometryOps.GeometryOpsCore._booltype</span></a> <span class="VPBadge info jlObjectType jlFunction"><!--[-->Function<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">_booltype</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x)</span></span></code></pre></div><p>Returns a <a href="/GeometryOps.jl/dev/source/src/types#BoolsAsTypes"><code>BoolsAsTypes</code></a> from <code>x</code>, whether it&#39;s a boolean or a BoolsAsTypes.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L154-L158" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F" href="#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"><span class="jlbinding">GeometryOps.GeometryOpsCore.apply</span></a> <span class="VPBadge info jlObjectType jlMethod"><!--[-->Method<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">VisvalingamWhyatt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum area of a triangle made with a point and its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is doubled to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L415-L427" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore._booltype" href="#GeometryOps.GeometryOpsCore._booltype"><span class="jlbinding">GeometryOps.GeometryOpsCore._booltype</span></a> <span class="VPBadge info jlObjectType jlFunction"><!--[-->Function<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">_booltype</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x)</span></span></code></pre></div><p>Returns a <a href="/GeometryOps.jl/dev/source/src/types#BoolsAsTypes"><code>BoolsAsTypes</code></a> from <code>x</code>, whether it&#39;s a boolean or a BoolsAsTypes.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L156-L160" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F" href="#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"><span class="jlbinding">GeometryOps.GeometryOpsCore.apply</span></a> <span class="VPBadge info jlObjectType jlMethod"><!--[-->Method<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]),</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                   GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
@@ -547,7 +547,7 @@
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># output</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/within.jl#L61-L82" target="_blank" rel="noreferrer">source</a></p></details><hr class="footnotes-sep"><section class="footnotes"><ol class="footnotes-list"><li id="fn1" class="footnote-item"><p>K. Hormann and N. Sukumar. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor &amp; Fancis, CRC Press, 2017. <a href="#fnref1" class="footnote-backref">↩︎</a></p></li></ol></section></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/api.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/introduction" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Introduction</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/tutorials/creating_geometry" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Creating Geometry</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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custom-block",open:""};function wi(Li,s,Ii,Mi,Pi,qi){const t=k("Badge");return p(),l("div",null,[s[387]||(s[387]=e('<h1 id="Full-GeometryOps-API-documentation" tabindex="-1">Full GeometryOps API documentation <a class="header-anchor" href="#Full-GeometryOps-API-documentation" aria-label="Permalink to &quot;Full GeometryOps API documentation {#Full-GeometryOps-API-documentation}&quot;">​</a></h1><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>This page is still very much WIP!</p></div><p>Documentation for <a href="https://github.com/JuliaGeo/GeometryOps.jl" target="_blank" rel="noreferrer">GeometryOps</a>&#39;s full API (only for reference!).</p><ul><li><a href="#GeometryOps.AbstractBarycentricCoordinateMethod"><code>GeometryOps.AbstractBarycentricCoordinateMethod</code></a></li><li><a href="#GeometryOps.ClosedRing"><code>GeometryOps.ClosedRing</code></a></li><li><a href="#GeometryOps.DiffIntersectingPolygons"><code>GeometryOps.DiffIntersectingPolygons</code></a></li><li><a href="#GeometryOps.DouglasPeucker"><code>GeometryOps.DouglasPeucker</code></a></li><li><a href="#GeometryOps.GEOS"><code>GeometryOps.GEOS</code></a></li><li><a href="#GeometryOps.GeodesicSegments"><code>GeometryOps.GeodesicSegments</code></a></li><li><a href="#GeometryOps.GeometryCorrection"><code>GeometryOps.GeometryCorrection</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.BoolsAsTypes"><code>GeometryOps.GeometryOpsCore.BoolsAsTypes</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Geodesic"><code>GeometryOps.GeometryOpsCore.Geodesic</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Linear"><code>GeometryOps.GeometryOpsCore.Linear</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Manifold"><code>GeometryOps.GeometryOpsCore.Manifold</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Spherical"><code>GeometryOps.GeometryOpsCore.Spherical</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.TraitTarget"><code>GeometryOps.GeometryOpsCore.TraitTarget</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._False"><code>GeometryOps.GeometryOpsCore._False</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._True"><code>GeometryOps.GeometryOpsCore._True</code></a></li><li><a href="#GeometryOps.LineOrientation"><code>GeometryOps.LineOrientation</code></a></li><li><a href="#GeometryOps.LinearSegments"><code>GeometryOps.LinearSegments</code></a></li><li><a href="#GeometryOps.MeanValue"><code>GeometryOps.MeanValue</code></a></li><li><a href="#GeometryOps.MonotoneChainMethod"><code>GeometryOps.MonotoneChainMethod</code></a></li><li><a href="#GeometryOps.PointOrientation"><code>GeometryOps.PointOrientation</code></a></li><li><a href="#GeometryOps.RadialDistance"><code>GeometryOps.RadialDistance</code></a></li><li><a href="#GeometryOps.SimplifyAlg"><code>GeometryOps.SimplifyAlg</code></a></li><li><a href="#GeometryOps.UnionIntersectingPolygons"><code>GeometryOps.UnionIntersectingPolygons</code></a></li><li><a href="#GeometryOps.VisvalingamWhyatt"><code>GeometryOps.VisvalingamWhyatt</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._booltype"><code>GeometryOps.GeometryOpsCore._booltype</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target&lt;:GeoInterface.AbstractTrait"><code>GeometryOps.GeometryOpsCore.flatten</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.rebuild-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.rebuild</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.reconstruct-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.reconstruct</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.unwrap"><code>GeometryOps.GeometryOpsCore.unwrap</code></a></li><li><a href="#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps._det</code></a></li><li><a href="#GeometryOps._equals_curves-NTuple{4, Any}"><code>GeometryOps._equals_curves</code></a></li><li><a href="#GeometryOps.angles"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.area"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.barycentric_coordinates"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!-Tuple{Vector{&lt;:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_interpolate"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_area</code></a></li><li><a href="#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_length</code></a></li><li><a href="#GeometryOps.contains-Tuple{Any, Any}"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.contains"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.convex_hull"><code>GeometryOps.convex_hull</code></a></li><li><a href="#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.coverage</code></a></li><li><a href="#GeometryOps.coveredby-Tuple{Any, Any}"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.coveredby"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.covers"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.covers-Tuple{Any, Any}"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.crosses"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.crosses-Tuple{Any, Any}"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.cut</code></a></li><li><a href="#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.difference</code></a></li><li><a href="#GeometryOps.disjoint-Tuple{Any, Any}"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.disjoint"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.distance"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.embed_extent-Tuple{Any}"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.embed_extent"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"><code>GeometryOps.enforce</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Any, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-NTuple{4, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.flip-Tuple{Any}"><code>GeometryOps.flip</code></a></li><li><a href="#GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection</code></a></li><li><a href="#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection_points</code></a></li><li><a href="#GeometryOps.intersects"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.intersects-Tuple{Any, Any}"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.isclockwise-Tuple{Any}"><code>GeometryOps.isclockwise</code></a></li><li><a href="#GeometryOps.isconcave-Tuple{Any}"><code>GeometryOps.isconcave</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Any, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.polygon_to_line-Tuple{Any}"><code>GeometryOps.polygon_to_line</code></a></li><li><a href="#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"><code>GeometryOps.polygonize</code></a></li><li><a href="#GeometryOps.reproject"><code>GeometryOps.reproject</code></a></li><li><a href="#GeometryOps.segmentize-Tuple{Any}"><code>GeometryOps.segmentize</code></a></li><li><a href="#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_area"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.signed_distance"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"><code>GeometryOps.simplify</code></a></li><li><a href="#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps.t_value</code></a></li><li><a href="#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.to_edges</code></a></li><li><a href="#GeometryOps.touches-Tuple{Any, Any}"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.touches"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.transform-Tuple{Any, Any}"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.transform"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.tuples</code></a></li><li><a href="#GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.union</code></a></li><li><a href="#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT&lt;:Real"><code>GeometryOps.weighted_mean</code></a></li><li><a href="#GeometryOps.within-Tuple{Any, Any}"><code>GeometryOps.within</code></a></li><li><a href="#GeometryOps.within"><code>GeometryOps.within</code></a></li></ul><h2 id="apply-and-associated-functions" tabindex="-1"><code>apply</code> and associated functions <a class="header-anchor" href="#apply-and-associated-functions" aria-label="Permalink to &quot;`apply` and associated functions {#apply-and-associated-functions}&quot;">​</a></h2>',5)),i("details",o,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryOpsCore.apply",href:"#GeometryOps.GeometryOpsCore.apply"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[1]||(s[1]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
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custom-block",open:""};function Qi(Li,s,Ii,Mi,Pi,qi){const t=k("Badge");return p(),l("div",null,[s[387]||(s[387]=e('<h1 id="Full-GeometryOps-API-documentation" tabindex="-1">Full GeometryOps API documentation <a class="header-anchor" href="#Full-GeometryOps-API-documentation" aria-label="Permalink to &quot;Full GeometryOps API documentation {#Full-GeometryOps-API-documentation}&quot;">​</a></h1><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>This page is still very much WIP!</p></div><p>Documentation for <a href="https://github.com/JuliaGeo/GeometryOps.jl" target="_blank" rel="noreferrer">GeometryOps</a>&#39;s full API (only for reference!).</p><ul><li><a href="#GeometryOps.AbstractBarycentricCoordinateMethod"><code>GeometryOps.AbstractBarycentricCoordinateMethod</code></a></li><li><a href="#GeometryOps.ClosedRing"><code>GeometryOps.ClosedRing</code></a></li><li><a href="#GeometryOps.DiffIntersectingPolygons"><code>GeometryOps.DiffIntersectingPolygons</code></a></li><li><a href="#GeometryOps.DouglasPeucker"><code>GeometryOps.DouglasPeucker</code></a></li><li><a href="#GeometryOps.GEOS"><code>GeometryOps.GEOS</code></a></li><li><a href="#GeometryOps.GeodesicSegments"><code>GeometryOps.GeodesicSegments</code></a></li><li><a href="#GeometryOps.GeometryCorrection"><code>GeometryOps.GeometryCorrection</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.BoolsAsTypes"><code>GeometryOps.GeometryOpsCore.BoolsAsTypes</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Geodesic"><code>GeometryOps.GeometryOpsCore.Geodesic</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Manifold"><code>GeometryOps.GeometryOpsCore.Manifold</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Planar"><code>GeometryOps.GeometryOpsCore.Planar</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Spherical"><code>GeometryOps.GeometryOpsCore.Spherical</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.TraitTarget"><code>GeometryOps.GeometryOpsCore.TraitTarget</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._False"><code>GeometryOps.GeometryOpsCore._False</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._True"><code>GeometryOps.GeometryOpsCore._True</code></a></li><li><a href="#GeometryOps.LineOrientation"><code>GeometryOps.LineOrientation</code></a></li><li><a href="#GeometryOps.LinearSegments"><code>GeometryOps.LinearSegments</code></a></li><li><a href="#GeometryOps.MeanValue"><code>GeometryOps.MeanValue</code></a></li><li><a href="#GeometryOps.MonotoneChainMethod"><code>GeometryOps.MonotoneChainMethod</code></a></li><li><a href="#GeometryOps.PointOrientation"><code>GeometryOps.PointOrientation</code></a></li><li><a href="#GeometryOps.RadialDistance"><code>GeometryOps.RadialDistance</code></a></li><li><a href="#GeometryOps.SimplifyAlg"><code>GeometryOps.SimplifyAlg</code></a></li><li><a href="#GeometryOps.UnionIntersectingPolygons"><code>GeometryOps.UnionIntersectingPolygons</code></a></li><li><a href="#GeometryOps.VisvalingamWhyatt"><code>GeometryOps.VisvalingamWhyatt</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._booltype"><code>GeometryOps.GeometryOpsCore._booltype</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target&lt;:GeoInterface.AbstractTrait"><code>GeometryOps.GeometryOpsCore.flatten</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.rebuild-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.rebuild</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.reconstruct-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.reconstruct</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.unwrap"><code>GeometryOps.GeometryOpsCore.unwrap</code></a></li><li><a href="#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps._det</code></a></li><li><a href="#GeometryOps._equals_curves-NTuple{4, Any}"><code>GeometryOps._equals_curves</code></a></li><li><a href="#GeometryOps.angles"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.area"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.barycentric_coordinates"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!-Tuple{Vector{&lt;:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.barycentric_interpolate"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_area</code></a></li><li><a href="#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_length</code></a></li><li><a href="#GeometryOps.contains-Tuple{Any, Any}"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.contains"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.convex_hull"><code>GeometryOps.convex_hull</code></a></li><li><a href="#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.coverage</code></a></li><li><a href="#GeometryOps.coveredby-Tuple{Any, Any}"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.coveredby"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.covers"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.covers-Tuple{Any, Any}"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.crosses"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.crosses-Tuple{Any, Any}"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.cut</code></a></li><li><a href="#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.difference</code></a></li><li><a href="#GeometryOps.disjoint-Tuple{Any, Any}"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.disjoint"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.distance"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.embed_extent-Tuple{Any}"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.embed_extent"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"><code>GeometryOps.enforce</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Any, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-NTuple{4, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.flip-Tuple{Any}"><code>GeometryOps.flip</code></a></li><li><a href="#GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection</code></a></li><li><a href="#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection_points</code></a></li><li><a href="#GeometryOps.intersects"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.intersects-Tuple{Any, Any}"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.isclockwise-Tuple{Any}"><code>GeometryOps.isclockwise</code></a></li><li><a href="#GeometryOps.isconcave-Tuple{Any}"><code>GeometryOps.isconcave</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Any, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.polygon_to_line-Tuple{Any}"><code>GeometryOps.polygon_to_line</code></a></li><li><a href="#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"><code>GeometryOps.polygonize</code></a></li><li><a href="#GeometryOps.reproject"><code>GeometryOps.reproject</code></a></li><li><a href="#GeometryOps.segmentize-Tuple{Any}"><code>GeometryOps.segmentize</code></a></li><li><a href="#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_area"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.signed_distance"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"><code>GeometryOps.simplify</code></a></li><li><a href="#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps.t_value</code></a></li><li><a href="#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.to_edges</code></a></li><li><a href="#GeometryOps.touches-Tuple{Any, Any}"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.touches"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.transform-Tuple{Any, Any}"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.transform"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.tuples</code></a></li><li><a href="#GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.union</code></a></li><li><a href="#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT&lt;:Real"><code>GeometryOps.weighted_mean</code></a></li><li><a href="#GeometryOps.within-Tuple{Any, Any}"><code>GeometryOps.within</code></a></li><li><a href="#GeometryOps.within"><code>GeometryOps.within</code></a></li></ul><h2 id="apply-and-associated-functions" tabindex="-1"><code>apply</code> and associated functions <a class="header-anchor" href="#apply-and-associated-functions" aria-label="Permalink to &quot;`apply` and associated functions {#apply-and-associated-functions}&quot;">​</a></h2>',5)),i("details",o,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryOpsCore.apply",href:"#GeometryOps.GeometryOpsCore.apply"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[1]||(s[1]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]),</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                   GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
@@ -266,17 +266,17 @@ import{_ as h,c as l,a5 as e,j as i,a,G as n,B as k,o as p}from"./chunks/framewo
 <span class="line"><span>- The angles of a linestring or linearring is a vector of angles formed by the curve.</span></span>
 <span class="line"><span>- The angles of a polygon is a vector of vectors of angles formed by each ring.</span></span>
 <span class="line"><span>- The angles of a multi-geometry collection is a vector of the angles of each of the</span></span>
-<span class="line"><span>    sub-geometries as defined above.</span></span></code></pre></div><p>Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/angles.jl#L33-L48" target="_blank" rel="noreferrer">source</a></p>`,10))]),i("details",x,[i("summary",null,[s[60]||(s[60]=i("a",{id:"GeometryOps.embed_extent",href:"#GeometryOps.embed_extent"},[i("span",{class:"jlbinding"},"GeometryOps.embed_extent")],-1)),s[61]||(s[61]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[62]||(s[62]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p>',12))]),s[391]||(s[391]=i("h2",{id:"Barycentric-coordinates",tabindex:"-1"},[a("Barycentric coordinates "),i("a",{class:"header-anchor",href:"#Barycentric-coordinates","aria-label":'Permalink to "Barycentric coordinates {#Barycentric-coordinates}"'},"​")],-1)),i("details",Q,[i("summary",null,[s[63]||(s[63]=i("a",{id:"GeometryOps.barycentric_coordinates",href:"#GeometryOps.barycentric_coordinates"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates")],-1)),s[64]||(s[64]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[65]||(s[65]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",w,[i("summary",null,[s[66]||(s[66]=i("a",{id:"GeometryOps.barycentric_coordinates!",href:"#GeometryOps.barycentric_coordinates!"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!")],-1)),s[67]||(s[67]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[68]||(s[68]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p>',10))]),i("details",L,[i("summary",null,[s[69]||(s[69]=i("a",{id:"GeometryOps.barycentric_interpolate",href:"#GeometryOps.barycentric_interpolate"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate")],-1)),s[70]||(s[70]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[71]||(s[71]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p>',10))]),s[392]||(s[392]=i("h2",{id:"Other-methods",tabindex:"-1"},[a("Other methods "),i("a",{class:"header-anchor",href:"#Other-methods","aria-label":'Permalink to "Other methods {#Other-methods}"'},"​")],-1)),i("details",I,[i("summary",null,[s[72]||(s[72]=i("a",{id:"GeometryOps.AbstractBarycentricCoordinateMethod",href:"#GeometryOps.AbstractBarycentricCoordinateMethod"},[i("span",{class:"jlbinding"},"GeometryOps.AbstractBarycentricCoordinateMethod")],-1)),s[73]||(s[73]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[74]||(s[74]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.</p><p><strong>API</strong></p><p>The following methods must be implemented for all subtypes:</p><ul><li><p><code>barycentric_coordinates!(λs::Vector{&lt;: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, point::Point{2, T2})</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, interiors::Vector{&lt;: Vector{&lt;: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V</code></p></li></ul><p>The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L108-L121" target="_blank" rel="noreferrer">source</a></p>',7))]),i("details",M,[i("summary",null,[s[75]||(s[75]=i("a",{id:"GeometryOps.ClosedRing",href:"#GeometryOps.ClosedRing"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[76]||(s[76]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[77]||(s[77]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">ClosedRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that a polygon&#39;s exterior and interior rings are closed.</p><p>It can be called on any geometry correction as usual.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/closed_ring.jl#L38-L46" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",P,[i("summary",null,[s[78]||(s[78]=i("a",{id:"GeometryOps.DiffIntersectingPolygons",href:"#GeometryOps.DiffIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[79]||(s[79]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[80]||(s[80]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DiffIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygons included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be made nonintersecting through the <a href="/GeometryOps.jl/dev/api#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>difference</code></a> operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.UnionIntersectingPolygons"><code>UnionIntersectingPolygons</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L92-L99" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",q,[i("summary",null,[s[81]||(s[81]=i("a",{id:"GeometryOps.DouglasPeucker",href:"#GeometryOps.DouglasPeucker"},[i("span",{class:"jlbinding"},"GeometryOps.DouglasPeucker")],-1)),s[82]||(s[82]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[83]||(s[83]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">DouglasPeucker </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
+<span class="line"><span>    sub-geometries as defined above.</span></span></code></pre></div><p>Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/angles.jl#L33-L48" target="_blank" rel="noreferrer">source</a></p>`,10))]),i("details",x,[i("summary",null,[s[60]||(s[60]=i("a",{id:"GeometryOps.embed_extent",href:"#GeometryOps.embed_extent"},[i("span",{class:"jlbinding"},"GeometryOps.embed_extent")],-1)),s[61]||(s[61]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[62]||(s[62]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p>',12))]),s[391]||(s[391]=i("h2",{id:"Barycentric-coordinates",tabindex:"-1"},[a("Barycentric coordinates "),i("a",{class:"header-anchor",href:"#Barycentric-coordinates","aria-label":'Permalink to "Barycentric coordinates {#Barycentric-coordinates}"'},"​")],-1)),i("details",w,[i("summary",null,[s[63]||(s[63]=i("a",{id:"GeometryOps.barycentric_coordinates",href:"#GeometryOps.barycentric_coordinates"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates")],-1)),s[64]||(s[64]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[65]||(s[65]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",Q,[i("summary",null,[s[66]||(s[66]=i("a",{id:"GeometryOps.barycentric_coordinates!",href:"#GeometryOps.barycentric_coordinates!"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!")],-1)),s[67]||(s[67]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[68]||(s[68]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p>',10))]),i("details",L,[i("summary",null,[s[69]||(s[69]=i("a",{id:"GeometryOps.barycentric_interpolate",href:"#GeometryOps.barycentric_interpolate"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate")],-1)),s[70]||(s[70]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[71]||(s[71]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p>',10))]),s[392]||(s[392]=i("h2",{id:"Other-methods",tabindex:"-1"},[a("Other methods "),i("a",{class:"header-anchor",href:"#Other-methods","aria-label":'Permalink to "Other methods {#Other-methods}"'},"​")],-1)),i("details",I,[i("summary",null,[s[72]||(s[72]=i("a",{id:"GeometryOps.AbstractBarycentricCoordinateMethod",href:"#GeometryOps.AbstractBarycentricCoordinateMethod"},[i("span",{class:"jlbinding"},"GeometryOps.AbstractBarycentricCoordinateMethod")],-1)),s[73]||(s[73]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[74]||(s[74]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.</p><p><strong>API</strong></p><p>The following methods must be implemented for all subtypes:</p><ul><li><p><code>barycentric_coordinates!(λs::Vector{&lt;: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, point::Point{2, T2})</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, interiors::Vector{&lt;: Vector{&lt;: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V</code></p></li></ul><p>The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L108-L121" target="_blank" rel="noreferrer">source</a></p>',7))]),i("details",M,[i("summary",null,[s[75]||(s[75]=i("a",{id:"GeometryOps.ClosedRing",href:"#GeometryOps.ClosedRing"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[76]||(s[76]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[77]||(s[77]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">ClosedRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that a polygon&#39;s exterior and interior rings are closed.</p><p>It can be called on any geometry correction as usual.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/closed_ring.jl#L38-L46" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",P,[i("summary",null,[s[78]||(s[78]=i("a",{id:"GeometryOps.DiffIntersectingPolygons",href:"#GeometryOps.DiffIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[79]||(s[79]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[80]||(s[80]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DiffIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygons included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be made nonintersecting through the <a href="/GeometryOps.jl/dev/api#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>difference</code></a> operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.UnionIntersectingPolygons"><code>UnionIntersectingPolygons</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L92-L99" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",q,[i("summary",null,[s[81]||(s[81]=i("a",{id:"GeometryOps.DouglasPeucker",href:"#GeometryOps.DouglasPeucker"},[i("span",{class:"jlbinding"},"GeometryOps.DouglasPeucker")],-1)),s[82]||(s[82]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[83]||(s[83]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">DouglasPeucker </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DouglasPeucker</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; number, ratio, tol)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance a point will be from the line joining its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L279-L289" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",R,[i("summary",null,[s[84]||(s[84]=i("a",{id:"GeometryOps.GEOS",href:"#GeometryOps.GEOS"},[i("span",{class:"jlbinding"},"GeometryOps.GEOS")],-1)),s[85]||(s[85]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[86]||(s[86]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; params</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>Dispatch is generally carried out using the names of the keyword arguments. For example, <code>segmentize</code> will only accept a <code>GEOS</code> struct with only a <code>max_distance</code> keyword, and no other.</p><p>It&#39;s generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/types.jl#L26-L38" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",S,[i("summary",null,[s[87]||(s[87]=i("a",{id:"GeometryOps.GeodesicSegments",href:"#GeometryOps.GeodesicSegments"},[i("span",{class:"jlbinding"},"GeometryOps.GeodesicSegments")],-1)),s[88]||(s[88]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[89]||(s[89]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GeodesicSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, equatorial_radius</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6378137</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, flattening</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">298.257223563</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.</p></div><p><strong>Arguments</strong></p><ul><li><p><code>max_distance::Real</code>: The maximum distance, <strong>in meters</strong>, between vertices in the geometry.</p></li><li><p><code>equatorial_radius::Real=6378137</code>: The equatorial radius of the Earth, in meters. Passed to <code>Proj.geod_geodesic</code>.</p></li><li><p><code>flattening::Real=1/298.257223563</code>: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to <code>Proj.geod_geodesic</code>.</p></li></ul><p>One can also omit the <code>equatorial_radius</code> and <code>flattening</code> keyword arguments, and pass a <code>geodesic</code> object directly to the eponymous keyword.</p><p>This method uses the Proj/GeographicLib API for geodesic calculations.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L123-L140" target="_blank" rel="noreferrer">source</a></p>',8))]),i("details",V,[i("summary",null,[s[90]||(s[90]=i("a",{id:"GeometryOps.GeometryCorrection",href:"#GeometryOps.GeometryCorrection"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[91]||(s[91]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[92]||(s[92]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",J,[i("summary",null,[s[93]||(s[93]=i("a",{id:"GeometryOps.GeometryOpsCore.BoolsAsTypes",href:"#GeometryOps.GeometryOpsCore.BoolsAsTypes"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.BoolsAsTypes")],-1)),s[94]||(s[94]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[95]||(s[95]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BoolsAsTypes</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L134-L137" target="_blank" rel="noreferrer">source</a></p>',2))]),i("details",U,[i("summary",null,[s[96]||(s[96]=i("a",{id:"GeometryOps.GeometryOpsCore.Geodesic",href:"#GeometryOps.GeometryOpsCore.Geodesic"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Geodesic")],-1)),s[97]||(s[97]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[109]||(s[109]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Geodesic</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; semimajor_axis, inv_flattening)</span></span></code></pre></div>',1)),i("p",null,[s[102]||(s[102]=a("A geodesic manifold means that the geometry is on a 3-dimensional ellipsoid, parameterized by ")),s[103]||(s[103]=i("code",null,"semimajor_axis",-1)),s[104]||(s[104]=a(" (")),i("mjx-container",H,[(p(),l("svg",N,s[98]||(s[98]=[i("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[i("g",{"data-mml-node":"math"},[i("g",{"data-mml-node":"mi"},[i("path",{"data-c":"1D44E",d:"M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z",style:{"stroke-width":"3"}})])])],-1)]))),s[99]||(s[99]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"a")])],-1))]),s[105]||(s[105]=a(" in mathematical parlance) and ")),s[106]||(s[106]=i("code",null,"inv_flattening",-1)),s[107]||(s[107]=a(" (")),i("mjx-container",W,[(p(),l("svg",_,s[100]||(s[100]=[e('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" style="stroke-width:3;"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(500,0)"><g data-mml-node="mo"><path data-c="2F" d="M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z" style="stroke-width:3;"></path></g></g><g data-mml-node="mi" transform="translate(1000,0)"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z" style="stroke-width:3;"></path></g></g></g>',1)]))),s[101]||(s[101]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mn",null,"1"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",null,"/")]),i("mi",null,"f")])],-1))]),s[108]||(s[108]=a(")."))]),s[110]||(s[110]=i("p",null,"Usually, this is only relevant for area and segmentization calculations. It becomes more relevant as one grows closer to the poles (or equator).",-1)),s[111]||(s[111]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L66-L73",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",z,[i("summary",null,[s[112]||(s[112]=i("a",{id:"GeometryOps.GeometryOpsCore.Linear",href:"#GeometryOps.GeometryOpsCore.Linear"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Linear")],-1)),s[113]||(s[113]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[114]||(s[114]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Linear</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>A linear manifold means that the space is completely Euclidean, and planar geometry suffices.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L38-L43" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",Z,[i("summary",null,[s[115]||(s[115]=i("a",{id:"GeometryOps.GeometryOpsCore.Manifold",href:"#GeometryOps.GeometryOpsCore.Manifold"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Manifold")],-1)),s[116]||(s[116]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[117]||(s[117]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Manifold</span></span></code></pre></div><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>We use the manifold definition to define the space in which an operation should be performed, or where a geometry lies.</p><p>Currently we have <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Linear"><code>Linear</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Spherical"><code>Spherical</code></a>, and <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Geodesic"><code>Geodesic</code></a> manifolds.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L27-L35" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",K,[i("summary",null,[s[118]||(s[118]=i("a",{id:"GeometryOps.GeometryOpsCore.Spherical",href:"#GeometryOps.GeometryOpsCore.Spherical"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Spherical")],-1)),s[119]||(s[119]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[130]||(s[130]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Spherical</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; radius)</span></span></code></pre></div><p>A spherical manifold means that the geometry is on the 3-sphere (but is represented by 2-D longitude and latitude).</p><p><strong>Extended help</strong></p>',3)),i("div",X,[s[128]||(s[128]=i("p",{class:"custom-block-title"},"Note",-1)),i("p",null,[s[122]||(s[122]=a("The traditional definition of spherical coordinates in physics and mathematics, ")),i("mjx-container",$,[(p(),l("svg",Y,s[120]||(s[120]=[e('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path 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pole).")],-1))]),s[131]||(s[131]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L47-L61",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",ss,[i("summary",null,[s[132]||(s[132]=i("a",{id:"GeometryOps.GeometryOpsCore.TraitTarget",href:"#GeometryOps.GeometryOpsCore.TraitTarget"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.TraitTarget")],-1)),s[133]||(s[133]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[134]||(s[134]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">TraitTarget{T}</span></span></code></pre></div><p>This struct holds a trait parameter or a union of trait parameters.</p><p>It is primarily used for dispatch into methods which select trait levels, like <code>apply</code>, or as a parameter to <code>target</code>.</p><p><strong>Constructors</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">())</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DouglasPeucker</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; number, ratio, tol)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance a point will be from the line joining its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L279-L289" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",R,[i("summary",null,[s[84]||(s[84]=i("a",{id:"GeometryOps.GEOS",href:"#GeometryOps.GEOS"},[i("span",{class:"jlbinding"},"GeometryOps.GEOS")],-1)),s[85]||(s[85]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[86]||(s[86]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; params</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>Dispatch is generally carried out using the names of the keyword arguments. For example, <code>segmentize</code> will only accept a <code>GEOS</code> struct with only a <code>max_distance</code> keyword, and no other.</p><p>It&#39;s generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/types.jl#L26-L38" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",S,[i("summary",null,[s[87]||(s[87]=i("a",{id:"GeometryOps.GeodesicSegments",href:"#GeometryOps.GeodesicSegments"},[i("span",{class:"jlbinding"},"GeometryOps.GeodesicSegments")],-1)),s[88]||(s[88]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[89]||(s[89]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GeodesicSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, equatorial_radius</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6378137</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, flattening</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">298.257223563</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.</p></div><p><strong>Arguments</strong></p><ul><li><p><code>max_distance::Real</code>: The maximum distance, <strong>in meters</strong>, between vertices in the geometry.</p></li><li><p><code>equatorial_radius::Real=6378137</code>: The equatorial radius of the Earth, in meters. Passed to <code>Proj.geod_geodesic</code>.</p></li><li><p><code>flattening::Real=1/298.257223563</code>: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to <code>Proj.geod_geodesic</code>.</p></li></ul><p>One can also omit the <code>equatorial_radius</code> and <code>flattening</code> keyword arguments, and pass a <code>geodesic</code> object directly to the eponymous keyword.</p><p>This method uses the Proj/GeographicLib API for geodesic calculations.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L123-L140" target="_blank" rel="noreferrer">source</a></p>',8))]),i("details",V,[i("summary",null,[s[90]||(s[90]=i("a",{id:"GeometryOps.GeometryCorrection",href:"#GeometryOps.GeometryCorrection"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[91]||(s[91]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[92]||(s[92]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",J,[i("summary",null,[s[93]||(s[93]=i("a",{id:"GeometryOps.GeometryOpsCore.BoolsAsTypes",href:"#GeometryOps.GeometryOpsCore.BoolsAsTypes"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.BoolsAsTypes")],-1)),s[94]||(s[94]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[95]||(s[95]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BoolsAsTypes</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L136-L139" target="_blank" rel="noreferrer">source</a></p>',2))]),i("details",U,[i("summary",null,[s[96]||(s[96]=i("a",{id:"GeometryOps.GeometryOpsCore.Geodesic",href:"#GeometryOps.GeometryOpsCore.Geodesic"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Geodesic")],-1)),s[97]||(s[97]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[109]||(s[109]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Geodesic</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; semimajor_axis, inv_flattening)</span></span></code></pre></div>',1)),i("p",null,[s[102]||(s[102]=a("A geodesic manifold means that the geometry is on a 3-dimensional ellipsoid, parameterized by ")),s[103]||(s[103]=i("code",null,"semimajor_axis",-1)),s[104]||(s[104]=a(" (")),i("mjx-container",H,[(p(),l("svg",N,s[98]||(s[98]=[i("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[i("g",{"data-mml-node":"math"},[i("g",{"data-mml-node":"mi"},[i("path",{"data-c":"1D44E",d:"M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z",style:{"stroke-width":"3"}})])])],-1)]))),s[99]||(s[99]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"a")])],-1))]),s[105]||(s[105]=a(" in mathematical parlance) and ")),s[106]||(s[106]=i("code",null,"inv_flattening",-1)),s[107]||(s[107]=a(" (")),i("mjx-container",W,[(p(),l("svg",_,s[100]||(s[100]=[e('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" style="stroke-width:3;"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(500,0)"><g data-mml-node="mo"><path data-c="2F" d="M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z" style="stroke-width:3;"></path></g></g><g data-mml-node="mi" transform="translate(1000,0)"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z" style="stroke-width:3;"></path></g></g></g>',1)]))),s[101]||(s[101]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mn",null,"1"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",null,"/")]),i("mi",null,"f")])],-1))]),s[108]||(s[108]=a(")."))]),s[110]||(s[110]=i("p",null,"Usually, this is only relevant for area and segmentization calculations. It becomes more relevant as one grows closer to the poles (or equator).",-1)),s[111]||(s[111]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L68-L75",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",z,[i("summary",null,[s[112]||(s[112]=i("a",{id:"GeometryOps.GeometryOpsCore.Manifold",href:"#GeometryOps.GeometryOpsCore.Manifold"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Manifold")],-1)),s[113]||(s[113]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[114]||(s[114]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Manifold</span></span></code></pre></div><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>We use the manifold definition to define the space in which an operation should be performed, or where a geometry lies.</p><p>Currently we have <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Planar"><code>Planar</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Spherical"><code>Spherical</code></a>, and <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Geodesic"><code>Geodesic</code></a> manifolds.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L27-L35" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",Z,[i("summary",null,[s[115]||(s[115]=i("a",{id:"GeometryOps.GeometryOpsCore.Planar",href:"#GeometryOps.GeometryOpsCore.Planar"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Planar")],-1)),s[116]||(s[116]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[117]||(s[117]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Planar</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>A planar manifold refers to the 2D Euclidean plane.</p><p>Z coordinates may be accepted but will not influence geometry calculations, which are done purely on 2D geometry. This is the standard &quot;2.5D&quot; model used by e.g. GEOS.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L38-L45" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",K,[i("summary",null,[s[118]||(s[118]=i("a",{id:"GeometryOps.GeometryOpsCore.Spherical",href:"#GeometryOps.GeometryOpsCore.Spherical"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Spherical")],-1)),s[119]||(s[119]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[130]||(s[130]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Spherical</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; radius)</span></span></code></pre></div><p>A spherical manifold means that the geometry is on the 3-sphere (but is represented by 2-D longitude and latitude).</p><p><strong>Extended help</strong></p>',3)),i("div",X,[s[128]||(s[128]=i("p",{class:"custom-block-title"},"Note",-1)),i("p",null,[s[122]||(s[122]=a("The traditional definition of spherical coordinates in physics and mathematics, ")),i("mjx-container",$,[(p(),l("svg",Y,s[120]||(s[120]=[e('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z" 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"),i("code",null,"lat"),a(" is latitude between "),i("code",null,"-90"),a(" (south pole) and "),i("code",null,"90"),a(" (north pole).")],-1))]),s[131]||(s[131]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L49-L63",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",ss,[i("summary",null,[s[132]||(s[132]=i("a",{id:"GeometryOps.GeometryOpsCore.TraitTarget",href:"#GeometryOps.GeometryOpsCore.TraitTarget"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.TraitTarget")],-1)),s[133]||(s[133]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[134]||(s[134]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">TraitTarget{T}</span></span></code></pre></div><p>This struct holds a trait parameter or a union of trait parameters.</p><p>It is primarily used for dispatch into methods which select trait levels, like <code>apply</code>, or as a parameter to <code>target</code>.</p><p><strong>Constructors</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">())</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineStringTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRingTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()) </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># and other traits as you may like</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># There are also type based constructors available, but that&#39;s not advised.</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">PointTrait)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Union{GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LineStringTrait, GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LinearRingTrait})</span></span>
-<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># etc.</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L86-L105" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",is,[i("summary",null,[s[135]||(s[135]=i("a",{id:"GeometryOps.GeometryOpsCore._False",href:"#GeometryOps.GeometryOpsCore._False"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._False")],-1)),s[136]||(s[136]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[137]||(s[137]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _False </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>false</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L147-L151" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",as,[i("summary",null,[s[138]||(s[138]=i("a",{id:"GeometryOps.GeometryOpsCore._True",href:"#GeometryOps.GeometryOpsCore._True"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._True")],-1)),s[139]||(s[139]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[140]||(s[140]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _True </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>true</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L140-L144" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",es,[i("summary",null,[s[141]||(s[141]=i("a",{id:"GeometryOps.LineOrientation",href:"#GeometryOps.LineOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.LineOrientation")],-1)),s[142]||(s[142]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[143]||(s[143]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum LineOrientation</span></span></code></pre></div><p>Enum for the orientation of a line with respect to a curve. A line can be <code>line_cross</code> (crossing over the curve), <code>line_hinge</code> (crossing the endpoint of the curve), <code>line_over</code> (collinear with the curve), or <code>line_out</code> (not interacting with the curve).</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/intersection.jl#L4-L9" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",ts,[i("summary",null,[s[144]||(s[144]=i("a",{id:"GeometryOps.LinearSegments",href:"#GeometryOps.LinearSegments"},[i("span",{class:"jlbinding"},"GeometryOps.LinearSegments")],-1)),s[145]||(s[145]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[146]||(s[146]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.</p><p>Here, <code>max_distance</code> is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the <code>max_distance</code> will be in degrees of arc. If the polygon is provided in meters, then the <code>max_distance</code> will be in meters.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L110-L118" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",ns,[i("summary",null,[s[147]||(s[147]=i("a",{id:"GeometryOps.MeanValue",href:"#GeometryOps.MeanValue"},[i("span",{class:"jlbinding"},"GeometryOps.MeanValue")],-1)),s[148]||(s[148]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[149]||(s[149]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>This method calculates barycentric coordinates using the mean value method.</p><p><strong>References</strong></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L261-L268" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",ls,[i("summary",null,[s[150]||(s[150]=i("a",{id:"GeometryOps.MonotoneChainMethod",href:"#GeometryOps.MonotoneChainMethod"},[i("span",{class:"jlbinding"},"GeometryOps.MonotoneChainMethod")],-1)),s[151]||(s[151]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[152]||(s[152]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MonotoneChainMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>This is an algorithm for the <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a> function.</p><p>Uses <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer"><code>DelaunayTriangulation.jl</code></a> to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L94-L103" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",ps,[i("summary",null,[s[153]||(s[153]=i("a",{id:"GeometryOps.PointOrientation",href:"#GeometryOps.PointOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.PointOrientation")],-1)),s[154]||(s[154]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[155]||(s[155]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum PointOrientation</span></span></code></pre></div><p>Enum for the orientation of a point with respect to a curve. A point can be <code>point_in</code> the curve, <code>point_on</code> the curve, or <code>point_out</code> of the curve.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/geom_geom_processors.jl#L7-L12" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",hs,[i("summary",null,[s[156]||(s[156]=i("a",{id:"GeometryOps.RadialDistance",href:"#GeometryOps.RadialDistance"},[i("span",{class:"jlbinding"},"GeometryOps.RadialDistance")],-1)),s[157]||(s[157]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[158]||(s[158]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">RadialDistance </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span></code></pre></div><p>Simplifies geometries by removing points less than <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance between points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L240-L250" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",ks,[i("summary",null,[s[159]||(s[159]=i("a",{id:"GeometryOps.SimplifyAlg",href:"#GeometryOps.SimplifyAlg"},[i("span",{class:"jlbinding"},"GeometryOps.SimplifyAlg")],-1)),s[160]||(s[160]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[161]||(s[161]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SimplifyAlg</span></span></code></pre></div><p>Abstract type for simplification algorithms.</p><p><strong>API</strong></p><p>For now, the algorithm must hold the <code>number</code>, <code>ratio</code> and <code>tol</code> properties.</p><p>Simplification algorithm types can hook into the interface by implementing the <code>_simplify(trait, alg, geom)</code> methods for whichever traits are necessary.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L115-L126" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",rs,[i("summary",null,[s[162]||(s[162]=i("a",{id:"GeometryOps.UnionIntersectingPolygons",href:"#GeometryOps.UnionIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[163]||(s[163]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[164]||(s[164]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">UnionIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygon&#39;s included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L47-L56" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",os,[i("summary",null,[s[165]||(s[165]=i("a",{id:"GeometryOps.VisvalingamWhyatt",href:"#GeometryOps.VisvalingamWhyatt"},[i("span",{class:"jlbinding"},"GeometryOps.VisvalingamWhyatt")],-1)),s[166]||(s[166]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[167]||(s[167]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">VisvalingamWhyatt </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># etc.</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L88-L107" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",is,[i("summary",null,[s[135]||(s[135]=i("a",{id:"GeometryOps.GeometryOpsCore._False",href:"#GeometryOps.GeometryOpsCore._False"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._False")],-1)),s[136]||(s[136]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[137]||(s[137]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _False </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>false</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L149-L153" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",as,[i("summary",null,[s[138]||(s[138]=i("a",{id:"GeometryOps.GeometryOpsCore._True",href:"#GeometryOps.GeometryOpsCore._True"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._True")],-1)),s[139]||(s[139]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[140]||(s[140]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _True </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>true</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L142-L146" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",es,[i("summary",null,[s[141]||(s[141]=i("a",{id:"GeometryOps.LineOrientation",href:"#GeometryOps.LineOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.LineOrientation")],-1)),s[142]||(s[142]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[143]||(s[143]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum LineOrientation</span></span></code></pre></div><p>Enum for the orientation of a line with respect to a curve. A line can be <code>line_cross</code> (crossing over the curve), <code>line_hinge</code> (crossing the endpoint of the curve), <code>line_over</code> (collinear with the curve), or <code>line_out</code> (not interacting with the curve).</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/intersection.jl#L4-L9" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",ts,[i("summary",null,[s[144]||(s[144]=i("a",{id:"GeometryOps.LinearSegments",href:"#GeometryOps.LinearSegments"},[i("span",{class:"jlbinding"},"GeometryOps.LinearSegments")],-1)),s[145]||(s[145]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[146]||(s[146]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.</p><p>Here, <code>max_distance</code> is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the <code>max_distance</code> will be in degrees of arc. If the polygon is provided in meters, then the <code>max_distance</code> will be in meters.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L110-L118" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",ns,[i("summary",null,[s[147]||(s[147]=i("a",{id:"GeometryOps.MeanValue",href:"#GeometryOps.MeanValue"},[i("span",{class:"jlbinding"},"GeometryOps.MeanValue")],-1)),s[148]||(s[148]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[149]||(s[149]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>This method calculates barycentric coordinates using the mean value method.</p><p><strong>References</strong></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L261-L268" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",ls,[i("summary",null,[s[150]||(s[150]=i("a",{id:"GeometryOps.MonotoneChainMethod",href:"#GeometryOps.MonotoneChainMethod"},[i("span",{class:"jlbinding"},"GeometryOps.MonotoneChainMethod")],-1)),s[151]||(s[151]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[152]||(s[152]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MonotoneChainMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>This is an algorithm for the <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a> function.</p><p>Uses <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer"><code>DelaunayTriangulation.jl</code></a> to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L94-L103" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",ps,[i("summary",null,[s[153]||(s[153]=i("a",{id:"GeometryOps.PointOrientation",href:"#GeometryOps.PointOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.PointOrientation")],-1)),s[154]||(s[154]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[155]||(s[155]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum PointOrientation</span></span></code></pre></div><p>Enum for the orientation of a point with respect to a curve. A point can be <code>point_in</code> the curve, <code>point_on</code> the curve, or <code>point_out</code> of the curve.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/geom_geom_processors.jl#L7-L12" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",hs,[i("summary",null,[s[156]||(s[156]=i("a",{id:"GeometryOps.RadialDistance",href:"#GeometryOps.RadialDistance"},[i("span",{class:"jlbinding"},"GeometryOps.RadialDistance")],-1)),s[157]||(s[157]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[158]||(s[158]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">RadialDistance </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span></code></pre></div><p>Simplifies geometries by removing points less than <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance between points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L240-L250" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",ks,[i("summary",null,[s[159]||(s[159]=i("a",{id:"GeometryOps.SimplifyAlg",href:"#GeometryOps.SimplifyAlg"},[i("span",{class:"jlbinding"},"GeometryOps.SimplifyAlg")],-1)),s[160]||(s[160]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[161]||(s[161]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SimplifyAlg</span></span></code></pre></div><p>Abstract type for simplification algorithms.</p><p><strong>API</strong></p><p>For now, the algorithm must hold the <code>number</code>, <code>ratio</code> and <code>tol</code> properties.</p><p>Simplification algorithm types can hook into the interface by implementing the <code>_simplify(trait, alg, geom)</code> methods for whichever traits are necessary.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L115-L126" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",rs,[i("summary",null,[s[162]||(s[162]=i("a",{id:"GeometryOps.UnionIntersectingPolygons",href:"#GeometryOps.UnionIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[163]||(s[163]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[164]||(s[164]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">UnionIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygon&#39;s included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L47-L56" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",os,[i("summary",null,[s[165]||(s[165]=i("a",{id:"GeometryOps.VisvalingamWhyatt",href:"#GeometryOps.VisvalingamWhyatt"},[i("span",{class:"jlbinding"},"GeometryOps.VisvalingamWhyatt")],-1)),s[166]||(s[166]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[167]||(s[167]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">VisvalingamWhyatt </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">VisvalingamWhyatt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum area of a triangle made with a point and its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is doubled to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L415-L427" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",ds,[i("summary",null,[s[168]||(s[168]=i("a",{id:"GeometryOps.GeometryOpsCore._booltype",href:"#GeometryOps.GeometryOpsCore._booltype"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._booltype")],-1)),s[169]||(s[169]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[170]||(s[170]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">_booltype</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x)</span></span></code></pre></div><p>Returns a <a href="/GeometryOps.jl/dev/source/src/types#BoolsAsTypes"><code>BoolsAsTypes</code></a> from <code>x</code>, whether it&#39;s a boolean or a BoolsAsTypes.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L154-L158" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",gs,[i("summary",null,[s[171]||(s[171]=i("a",{id:"GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F",href:"#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[172]||(s[172]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[173]||(s[173]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">VisvalingamWhyatt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum area of a triangle made with a point and its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is doubled to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L415-L427" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",ds,[i("summary",null,[s[168]||(s[168]=i("a",{id:"GeometryOps.GeometryOpsCore._booltype",href:"#GeometryOps.GeometryOpsCore._booltype"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._booltype")],-1)),s[169]||(s[169]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[170]||(s[170]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">_booltype</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x)</span></span></code></pre></div><p>Returns a <a href="/GeometryOps.jl/dev/source/src/types#BoolsAsTypes"><code>BoolsAsTypes</code></a> from <code>x</code>, whether it&#39;s a boolean or a BoolsAsTypes.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L156-L160" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",gs,[i("summary",null,[s[171]||(s[171]=i("a",{id:"GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F",href:"#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[172]||(s[172]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[173]||(s[173]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]),</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                   GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
@@ -301,14 +301,14 @@ import{_ as h,c as l,a5 as e,j as i,a,G as n,B as k,o as p}from"./chunks/framewo
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">contains</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(line, point)</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># output</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/contains.jl#L43-L64" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",Ds,[i("summary",null,[s[222]||(s[222]=i("a",{id:"GeometryOps.convex_hull",href:"#GeometryOps.convex_hull"},[i("span",{class:"jlbinding"},"GeometryOps.convex_hull")],-1)),s[223]||(s[223]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[224]||(s[224]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([method], geometries)</span></span></code></pre></div><p>Compute the convex hull of the points in <code>geometries</code>. Returns a <code>GI.Polygon</code> representing the convex hull.</p><p>Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>This interface only computes the 2-dimensional convex hull!</p><p>For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L77-L91" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",xs,[i("summary",null,[s[225]||(s[225]=i("a",{id:"GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.coverage")],-1)),s[226]||(s[226]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[227]||(s[227]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coverage</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom, xmin, xmax, ymin, ymax, [T </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Float64])</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">T</span></span></code></pre></div><p>Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:</p><ul><li><p>The signed area of a point is always zero.</p></li><li><p>The signed area of a curve is always zero.</p></li><li><p>The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.</p></li><li><p>The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.</p></li></ul><p>Result will be of type T, where T is an optional argument with a default value of Float64.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/coverage.jl#L45-L60" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",Qs,[i("summary",null,[s[228]||(s[228]=i("a",{id:"GeometryOps.coveredby-Tuple{Any, Any}",href:"#GeometryOps.coveredby-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.coveredby")],-1)),s[229]||(s[229]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[230]||(s[230]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coveredby</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(g1, g2)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return <code>true</code> if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).</p><p>Furthermore, <code>coveredby</code> returns the exact opposite result of <code>covers</code>. They are equivalent with the order of the arguments swapped.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/contains.jl#L43-L64" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",Ds,[i("summary",null,[s[222]||(s[222]=i("a",{id:"GeometryOps.convex_hull",href:"#GeometryOps.convex_hull"},[i("span",{class:"jlbinding"},"GeometryOps.convex_hull")],-1)),s[223]||(s[223]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[224]||(s[224]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([method], geometries)</span></span></code></pre></div><p>Compute the convex hull of the points in <code>geometries</code>. Returns a <code>GI.Polygon</code> representing the convex hull.</p><p>Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>This interface only computes the 2-dimensional convex hull!</p><p>For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L77-L91" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",xs,[i("summary",null,[s[225]||(s[225]=i("a",{id:"GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.coverage")],-1)),s[226]||(s[226]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[227]||(s[227]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coverage</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom, xmin, xmax, ymin, ymax, [T </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Float64])</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">T</span></span></code></pre></div><p>Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:</p><ul><li><p>The signed area of a point is always zero.</p></li><li><p>The signed area of a curve is always zero.</p></li><li><p>The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.</p></li><li><p>The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.</p></li></ul><p>Result will be of type T, where T is an optional argument with a default value of Float64.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/coverage.jl#L45-L60" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",ws,[i("summary",null,[s[228]||(s[228]=i("a",{id:"GeometryOps.coveredby-Tuple{Any, Any}",href:"#GeometryOps.coveredby-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.coveredby")],-1)),s[229]||(s[229]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[230]||(s[230]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coveredby</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(g1, g2)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return <code>true</code> if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).</p><p>Furthermore, <code>coveredby</code> returns the exact opposite result of <code>covers</code>. They are equivalent with the order of the arguments swapped.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">p1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">l1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Line</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([p1, p2])</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coveredby</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, l1)</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># output</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/coveredby.jl#L58-L79" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",ws,[i("summary",null,[s[231]||(s[231]=i("a",{id:"GeometryOps.covers-Tuple{Any, Any}",href:"#GeometryOps.covers-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.covers")],-1)),s[232]||(s[232]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[233]||(s[233]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">covers</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(g1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, g2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.</p><p><code>covers</code> returns the exact opposite result of <code>coveredby</code>.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/coveredby.jl#L58-L79" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",Qs,[i("summary",null,[s[231]||(s[231]=i("a",{id:"GeometryOps.covers-Tuple{Any, Any}",href:"#GeometryOps.covers-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.covers")],-1)),s[232]||(s[232]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[233]||(s[233]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">covers</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(g1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, g2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.</p><p><code>covers</code> returns the exact opposite result of <code>coveredby</code>.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">l1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">l2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])</span></span>
 <span class="line"></span>
@@ -520,11 +520,11 @@ import{_ as h,c as l,a5 as e,j as i,a,G as n,B as k,o as p}from"./chunks/framewo
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># output</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">element Vector{Vector{Vector{Vector{Float64}}}}</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [[[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">13.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]]]</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/union.jl#L4-L34" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",xi,[i("summary",null,[s[381]||(s[381]=i("a",{id:"GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real",href:"#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real"},[i("span",{class:"jlbinding"},"GeometryOps.weighted_mean")],-1)),s[382]||(s[382]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[383]||(s[383]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">weighted_mean</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(weight</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, x1, x2)</span></span></code></pre></div><p>Returns the weighted mean of <code>x1</code> and <code>x2</code>, where <code>weight</code> is the weight of <code>x1</code>.</p><p>Specifically, calculates <code>x1 * weight + x2 * (1 - weight)</code>.</p><div class="tip custom-block"><p class="custom-block-title">Note</p><p>The idea for this method is that you can override this for custom types, like Color types, in extension modules.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L246-L255" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",Qi,[i("summary",null,[s[384]||(s[384]=i("a",{id:"GeometryOps.within-Tuple{Any, Any}",href:"#GeometryOps.within-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.within")],-1)),s[385]||(s[385]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[386]||(s[386]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">within</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom1, geom2)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return <code>true</code> if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).</p><p>Furthermore, <code>within</code> returns the exact opposite result of <code>contains</code>.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [[[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">13.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]]]</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/union.jl#L4-L34" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",xi,[i("summary",null,[s[381]||(s[381]=i("a",{id:"GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real",href:"#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real"},[i("span",{class:"jlbinding"},"GeometryOps.weighted_mean")],-1)),s[382]||(s[382]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[383]||(s[383]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">weighted_mean</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(weight</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, x1, x2)</span></span></code></pre></div><p>Returns the weighted mean of <code>x1</code> and <code>x2</code>, where <code>weight</code> is the weight of <code>x1</code>.</p><p>Specifically, calculates <code>x1 * weight + x2 * (1 - weight)</code>.</p><div class="tip custom-block"><p class="custom-block-title">Note</p><p>The idea for this method is that you can override this for custom types, like Color types, in extension modules.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L246-L255" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",wi,[i("summary",null,[s[384]||(s[384]=i("a",{id:"GeometryOps.within-Tuple{Any, Any}",href:"#GeometryOps.within-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.within")],-1)),s[385]||(s[385]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[386]||(s[386]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">within</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom1, geom2)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return <code>true</code> if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).</p><p>Furthermore, <code>within</code> returns the exact opposite result of <code>contains</code>.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">line </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">within</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point, line)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># output</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/within.jl#L61-L82" target="_blank" rel="noreferrer">source</a></p>`,6))]),s[393]||(s[393]=e('<hr class="footnotes-sep"><section class="footnotes"><ol class="footnotes-list"><li id="fn1" class="footnote-item"><p>K. Hormann and N. Sukumar. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor &amp; Fancis, CRC Press, 2017. <a href="#fnref1" class="footnote-backref">↩︎</a></p></li></ol></section>',2))])}const Vi=h(r,[["render",wi]]);export{Si as __pageData,Vi as default};
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/within.jl#L61-L82" target="_blank" rel="noreferrer">source</a></p>`,6))]),s[393]||(s[393]=e('<hr class="footnotes-sep"><section class="footnotes"><ol class="footnotes-list"><li id="fn1" class="footnote-item"><p>K. Hormann and N. Sukumar. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor &amp; Fancis, CRC Press, 2017. <a href="#fnref1" class="footnote-backref">↩︎</a></p></li></ol></section>',2))])}const Vi=h(r,[["render",Qi]]);export{Si as __pageData,Vi as default};
diff --git a/dev/assets/api.md.Bk3hzA-P.lean.js b/dev/assets/api.md.rwOlNC64.lean.js
similarity index 98%
rename from dev/assets/api.md.Bk3hzA-P.lean.js
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index d8dda28c3..16c910c01 100644
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href="#GeometryOps.GeometryOpsCore.Spherical"><code>GeometryOps.GeometryOpsCore.Spherical</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.TraitTarget"><code>GeometryOps.GeometryOpsCore.TraitTarget</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._False"><code>GeometryOps.GeometryOpsCore._False</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._True"><code>GeometryOps.GeometryOpsCore._True</code></a></li><li><a href="#GeometryOps.LineOrientation"><code>GeometryOps.LineOrientation</code></a></li><li><a href="#GeometryOps.LinearSegments"><code>GeometryOps.LinearSegments</code></a></li><li><a href="#GeometryOps.MeanValue"><code>GeometryOps.MeanValue</code></a></li><li><a href="#GeometryOps.MonotoneChainMethod"><code>GeometryOps.MonotoneChainMethod</code></a></li><li><a href="#GeometryOps.PointOrientation"><code>GeometryOps.PointOrientation</code></a></li><li><a href="#GeometryOps.RadialDistance"><code>GeometryOps.RadialDistance</code></a></li><li><a href="#GeometryOps.SimplifyAlg"><code>GeometryOps.SimplifyAlg</code></a></li><li><a href="#GeometryOps.UnionIntersectingPolygons"><code>GeometryOps.UnionIntersectingPolygons</code></a></li><li><a href="#GeometryOps.VisvalingamWhyatt"><code>GeometryOps.VisvalingamWhyatt</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._booltype"><code>GeometryOps.GeometryOpsCore._booltype</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target&lt;:GeoInterface.AbstractTrait"><code>GeometryOps.GeometryOpsCore.flatten</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.rebuild-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.rebuild</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.reconstruct-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.reconstruct</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.unwrap"><code>GeometryOps.GeometryOpsCore.unwrap</code></a></li><li><a href="#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps._det</code></a></li><li><a href="#GeometryOps._equals_curves-NTuple{4, Any}"><code>GeometryOps._equals_curves</code></a></li><li><a href="#GeometryOps.angles"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.area"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.barycentric_coordinates"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!-Tuple{Vector{&lt;:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_interpolate"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_area</code></a></li><li><a href="#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_length</code></a></li><li><a href="#GeometryOps.contains-Tuple{Any, Any}"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.contains"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.convex_hull"><code>GeometryOps.convex_hull</code></a></li><li><a href="#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.coverage</code></a></li><li><a href="#GeometryOps.coveredby-Tuple{Any, Any}"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.coveredby"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.covers"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.covers-Tuple{Any, Any}"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.crosses"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.crosses-Tuple{Any, Any}"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.cut</code></a></li><li><a href="#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.difference</code></a></li><li><a href="#GeometryOps.disjoint-Tuple{Any, Any}"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.disjoint"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.distance"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.embed_extent-Tuple{Any}"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.embed_extent"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"><code>GeometryOps.enforce</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Any, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-NTuple{4, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.flip-Tuple{Any}"><code>GeometryOps.flip</code></a></li><li><a href="#GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection</code></a></li><li><a href="#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection_points</code></a></li><li><a href="#GeometryOps.intersects"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.intersects-Tuple{Any, Any}"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.isclockwise-Tuple{Any}"><code>GeometryOps.isclockwise</code></a></li><li><a href="#GeometryOps.isconcave-Tuple{Any}"><code>GeometryOps.isconcave</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Any, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.polygon_to_line-Tuple{Any}"><code>GeometryOps.polygon_to_line</code></a></li><li><a href="#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"><code>GeometryOps.polygonize</code></a></li><li><a href="#GeometryOps.reproject"><code>GeometryOps.reproject</code></a></li><li><a href="#GeometryOps.segmentize-Tuple{Any}"><code>GeometryOps.segmentize</code></a></li><li><a href="#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_area"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.signed_distance"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"><code>GeometryOps.simplify</code></a></li><li><a href="#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps.t_value</code></a></li><li><a href="#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.to_edges</code></a></li><li><a href="#GeometryOps.touches-Tuple{Any, Any}"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.touches"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.transform-Tuple{Any, Any}"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.transform"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.tuples</code></a></li><li><a href="#GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.union</code></a></li><li><a href="#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT&lt;:Real"><code>GeometryOps.weighted_mean</code></a></li><li><a href="#GeometryOps.within-Tuple{Any, Any}"><code>GeometryOps.within</code></a></li><li><a href="#GeometryOps.within"><code>GeometryOps.within</code></a></li></ul><h2 id="apply-and-associated-functions" tabindex="-1"><code>apply</code> and associated functions <a class="header-anchor" href="#apply-and-associated-functions" aria-label="Permalink to &quot;`apply` and associated functions {#apply-and-associated-functions}&quot;">​</a></h2>',5)),i("details",o,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryOpsCore.apply",href:"#GeometryOps.GeometryOpsCore.apply"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[1]||(s[1]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
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custom-block",open:""};function Qi(Li,s,Ii,Mi,Pi,qi){const t=k("Badge");return p(),l("div",null,[s[387]||(s[387]=e('<h1 id="Full-GeometryOps-API-documentation" tabindex="-1">Full GeometryOps API documentation <a class="header-anchor" href="#Full-GeometryOps-API-documentation" aria-label="Permalink to &quot;Full GeometryOps API documentation {#Full-GeometryOps-API-documentation}&quot;">​</a></h1><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>This page is still very much WIP!</p></div><p>Documentation for <a href="https://github.com/JuliaGeo/GeometryOps.jl" target="_blank" rel="noreferrer">GeometryOps</a>&#39;s full API (only for reference!).</p><ul><li><a href="#GeometryOps.AbstractBarycentricCoordinateMethod"><code>GeometryOps.AbstractBarycentricCoordinateMethod</code></a></li><li><a href="#GeometryOps.ClosedRing"><code>GeometryOps.ClosedRing</code></a></li><li><a href="#GeometryOps.DiffIntersectingPolygons"><code>GeometryOps.DiffIntersectingPolygons</code></a></li><li><a href="#GeometryOps.DouglasPeucker"><code>GeometryOps.DouglasPeucker</code></a></li><li><a href="#GeometryOps.GEOS"><code>GeometryOps.GEOS</code></a></li><li><a href="#GeometryOps.GeodesicSegments"><code>GeometryOps.GeodesicSegments</code></a></li><li><a href="#GeometryOps.GeometryCorrection"><code>GeometryOps.GeometryCorrection</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.BoolsAsTypes"><code>GeometryOps.GeometryOpsCore.BoolsAsTypes</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Geodesic"><code>GeometryOps.GeometryOpsCore.Geodesic</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Manifold"><code>GeometryOps.GeometryOpsCore.Manifold</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Planar"><code>GeometryOps.GeometryOpsCore.Planar</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.Spherical"><code>GeometryOps.GeometryOpsCore.Spherical</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.TraitTarget"><code>GeometryOps.GeometryOpsCore.TraitTarget</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._False"><code>GeometryOps.GeometryOpsCore._False</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._True"><code>GeometryOps.GeometryOpsCore._True</code></a></li><li><a href="#GeometryOps.LineOrientation"><code>GeometryOps.LineOrientation</code></a></li><li><a href="#GeometryOps.LinearSegments"><code>GeometryOps.LinearSegments</code></a></li><li><a href="#GeometryOps.MeanValue"><code>GeometryOps.MeanValue</code></a></li><li><a href="#GeometryOps.MonotoneChainMethod"><code>GeometryOps.MonotoneChainMethod</code></a></li><li><a href="#GeometryOps.PointOrientation"><code>GeometryOps.PointOrientation</code></a></li><li><a href="#GeometryOps.RadialDistance"><code>GeometryOps.RadialDistance</code></a></li><li><a href="#GeometryOps.SimplifyAlg"><code>GeometryOps.SimplifyAlg</code></a></li><li><a href="#GeometryOps.UnionIntersectingPolygons"><code>GeometryOps.UnionIntersectingPolygons</code></a></li><li><a href="#GeometryOps.VisvalingamWhyatt"><code>GeometryOps.VisvalingamWhyatt</code></a></li><li><a href="#GeometryOps.GeometryOpsCore._booltype"><code>GeometryOps.GeometryOpsCore._booltype</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.apply"><code>GeometryOps.GeometryOpsCore.apply</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}"><code>GeometryOps.GeometryOpsCore.applyreduce</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target&lt;:GeoInterface.AbstractTrait"><code>GeometryOps.GeometryOpsCore.flatten</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.rebuild-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.rebuild</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.reconstruct-Tuple{Any, Any}"><code>GeometryOps.GeometryOpsCore.reconstruct</code></a></li><li><a href="#GeometryOps.GeometryOpsCore.unwrap"><code>GeometryOps.GeometryOpsCore.unwrap</code></a></li><li><a href="#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps._det</code></a></li><li><a href="#GeometryOps._equals_curves-NTuple{4, Any}"><code>GeometryOps._equals_curves</code></a></li><li><a href="#GeometryOps.angles"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.angles</code></a></li><li><a href="#GeometryOps.area"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.area</code></a></li><li><a href="#GeometryOps.barycentric_coordinates"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!-Tuple{Vector{&lt;:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_coordinates!"><code>GeometryOps.barycentric_coordinates!</code></a></li><li><a href="#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.barycentric_interpolate"><code>GeometryOps.barycentric_interpolate</code></a></li><li><a href="#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid"><code>GeometryOps.centroid</code></a></li><li><a href="#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_area</code></a></li><li><a href="#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.centroid_and_length</code></a></li><li><a href="#GeometryOps.contains-Tuple{Any, Any}"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.contains"><code>GeometryOps.contains</code></a></li><li><a href="#GeometryOps.convex_hull"><code>GeometryOps.convex_hull</code></a></li><li><a href="#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.coverage</code></a></li><li><a href="#GeometryOps.coveredby-Tuple{Any, Any}"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.coveredby"><code>GeometryOps.coveredby</code></a></li><li><a href="#GeometryOps.covers"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.covers-Tuple{Any, Any}"><code>GeometryOps.covers</code></a></li><li><a href="#GeometryOps.crosses"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.crosses-Tuple{Any, Any}"><code>GeometryOps.crosses</code></a></li><li><a href="#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.cut</code></a></li><li><a href="#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.difference</code></a></li><li><a href="#GeometryOps.disjoint-Tuple{Any, Any}"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.disjoint"><code>GeometryOps.disjoint</code></a></li><li><a href="#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.distance"><code>GeometryOps.distance</code></a></li><li><a href="#GeometryOps.embed_extent-Tuple{Any}"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.embed_extent"><code>GeometryOps.embed_extent</code></a></li><li><a href="#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"><code>GeometryOps.enforce</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Any, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-NTuple{4, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"><code>GeometryOps.equals</code></a></li><li><a href="#GeometryOps.flip-Tuple{Any}"><code>GeometryOps.flip</code></a></li><li><a href="#GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection</code></a></li><li><a href="#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.intersection_points</code></a></li><li><a href="#GeometryOps.intersects"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.intersects-Tuple{Any, Any}"><code>GeometryOps.intersects</code></a></li><li><a href="#GeometryOps.isclockwise-Tuple{Any}"><code>GeometryOps.isclockwise</code></a></li><li><a href="#GeometryOps.isconcave-Tuple{Any}"><code>GeometryOps.isconcave</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Any, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"><code>GeometryOps.overlaps</code></a></li><li><a href="#GeometryOps.polygon_to_line-Tuple{Any}"><code>GeometryOps.polygon_to_line</code></a></li><li><a href="#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"><code>GeometryOps.polygonize</code></a></li><li><a href="#GeometryOps.reproject"><code>GeometryOps.reproject</code></a></li><li><a href="#GeometryOps.segmentize-Tuple{Any}"><code>GeometryOps.segmentize</code></a></li><li><a href="#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_area"><code>GeometryOps.signed_area</code></a></li><li><a href="#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.signed_distance"><code>GeometryOps.signed_distance</code></a></li><li><a href="#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"><code>GeometryOps.simplify</code></a></li><li><a href="#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1&lt;:Real, T2&lt;:Real}"><code>GeometryOps.t_value</code></a></li><li><a href="#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.to_edges</code></a></li><li><a href="#GeometryOps.touches-Tuple{Any, Any}"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.touches"><code>GeometryOps.touches</code></a></li><li><a href="#GeometryOps.transform-Tuple{Any, Any}"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.transform"><code>GeometryOps.transform</code></a></li><li><a href="#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"><code>GeometryOps.tuples</code></a></li><li><a href="#GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>GeometryOps.union</code></a></li><li><a href="#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT&lt;:Real"><code>GeometryOps.weighted_mean</code></a></li><li><a href="#GeometryOps.within-Tuple{Any, Any}"><code>GeometryOps.within</code></a></li><li><a href="#GeometryOps.within"><code>GeometryOps.within</code></a></li></ul><h2 id="apply-and-associated-functions" tabindex="-1"><code>apply</code> and associated functions <a class="header-anchor" href="#apply-and-associated-functions" aria-label="Permalink to &quot;`apply` and associated functions {#apply-and-associated-functions}&quot;">​</a></h2>',5)),i("details",o,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryOpsCore.apply",href:"#GeometryOps.GeometryOpsCore.apply"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[1]||(s[1]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]),</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                   GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
@@ -266,17 +266,17 @@ import{_ as h,c as l,a5 as e,j as i,a,G as n,B as k,o as p}from"./chunks/framewo
 <span class="line"><span>- The angles of a linestring or linearring is a vector of angles formed by the curve.</span></span>
 <span class="line"><span>- The angles of a polygon is a vector of vectors of angles formed by each ring.</span></span>
 <span class="line"><span>- The angles of a multi-geometry collection is a vector of the angles of each of the</span></span>
-<span class="line"><span>    sub-geometries as defined above.</span></span></code></pre></div><p>Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/angles.jl#L33-L48" target="_blank" rel="noreferrer">source</a></p>`,10))]),i("details",x,[i("summary",null,[s[60]||(s[60]=i("a",{id:"GeometryOps.embed_extent",href:"#GeometryOps.embed_extent"},[i("span",{class:"jlbinding"},"GeometryOps.embed_extent")],-1)),s[61]||(s[61]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[62]||(s[62]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p>',12))]),s[391]||(s[391]=i("h2",{id:"Barycentric-coordinates",tabindex:"-1"},[a("Barycentric coordinates "),i("a",{class:"header-anchor",href:"#Barycentric-coordinates","aria-label":'Permalink to "Barycentric coordinates {#Barycentric-coordinates}"'},"​")],-1)),i("details",Q,[i("summary",null,[s[63]||(s[63]=i("a",{id:"GeometryOps.barycentric_coordinates",href:"#GeometryOps.barycentric_coordinates"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates")],-1)),s[64]||(s[64]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[65]||(s[65]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",w,[i("summary",null,[s[66]||(s[66]=i("a",{id:"GeometryOps.barycentric_coordinates!",href:"#GeometryOps.barycentric_coordinates!"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!")],-1)),s[67]||(s[67]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[68]||(s[68]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p>',10))]),i("details",L,[i("summary",null,[s[69]||(s[69]=i("a",{id:"GeometryOps.barycentric_interpolate",href:"#GeometryOps.barycentric_interpolate"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate")],-1)),s[70]||(s[70]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[71]||(s[71]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p>',10))]),s[392]||(s[392]=i("h2",{id:"Other-methods",tabindex:"-1"},[a("Other methods "),i("a",{class:"header-anchor",href:"#Other-methods","aria-label":'Permalink to "Other methods {#Other-methods}"'},"​")],-1)),i("details",I,[i("summary",null,[s[72]||(s[72]=i("a",{id:"GeometryOps.AbstractBarycentricCoordinateMethod",href:"#GeometryOps.AbstractBarycentricCoordinateMethod"},[i("span",{class:"jlbinding"},"GeometryOps.AbstractBarycentricCoordinateMethod")],-1)),s[73]||(s[73]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[74]||(s[74]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.</p><p><strong>API</strong></p><p>The following methods must be implemented for all subtypes:</p><ul><li><p><code>barycentric_coordinates!(λs::Vector{&lt;: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, point::Point{2, T2})</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, interiors::Vector{&lt;: Vector{&lt;: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V</code></p></li></ul><p>The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L108-L121" target="_blank" rel="noreferrer">source</a></p>',7))]),i("details",M,[i("summary",null,[s[75]||(s[75]=i("a",{id:"GeometryOps.ClosedRing",href:"#GeometryOps.ClosedRing"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[76]||(s[76]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[77]||(s[77]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">ClosedRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that a polygon&#39;s exterior and interior rings are closed.</p><p>It can be called on any geometry correction as usual.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/closed_ring.jl#L38-L46" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",P,[i("summary",null,[s[78]||(s[78]=i("a",{id:"GeometryOps.DiffIntersectingPolygons",href:"#GeometryOps.DiffIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[79]||(s[79]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[80]||(s[80]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DiffIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygons included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be made nonintersecting through the <a href="/GeometryOps.jl/dev/api#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>difference</code></a> operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.UnionIntersectingPolygons"><code>UnionIntersectingPolygons</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L92-L99" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",q,[i("summary",null,[s[81]||(s[81]=i("a",{id:"GeometryOps.DouglasPeucker",href:"#GeometryOps.DouglasPeucker"},[i("span",{class:"jlbinding"},"GeometryOps.DouglasPeucker")],-1)),s[82]||(s[82]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[83]||(s[83]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">DouglasPeucker </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
+<span class="line"><span>    sub-geometries as defined above.</span></span></code></pre></div><p>Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/angles.jl#L33-L48" target="_blank" rel="noreferrer">source</a></p>`,10))]),i("details",x,[i("summary",null,[s[60]||(s[60]=i("a",{id:"GeometryOps.embed_extent",href:"#GeometryOps.embed_extent"},[i("span",{class:"jlbinding"},"GeometryOps.embed_extent")],-1)),s[61]||(s[61]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[62]||(s[62]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">embed_extent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(obj)</span></span></code></pre></div><p>Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an <code>Extents.Extent</code> to all objects.</p><p>This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.</p><p><strong>Keywords</strong></p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li></ul><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/extent.jl#L3-L17" target="_blank" rel="noreferrer">source</a></p>',12))]),s[391]||(s[391]=i("h2",{id:"Barycentric-coordinates",tabindex:"-1"},[a("Barycentric coordinates "),i("a",{class:"header-anchor",href:"#Barycentric-coordinates","aria-label":'Permalink to "Barycentric coordinates {#Barycentric-coordinates}"'},"​")],-1)),i("details",w,[i("summary",null,[s[63]||(s[63]=i("a",{id:"GeometryOps.barycentric_coordinates",href:"#GeometryOps.barycentric_coordinates"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates")],-1)),s[64]||(s[64]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[65]||(s[65]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, point)</span></span></code></pre></div><p>Returns the barycentric coordinates of <code>point</code> in <code>polygon</code> using the barycentric coordinate method <code>method</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L160-L164" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",Q,[i("summary",null,[s[66]||(s[66]=i("a",{id:"GeometryOps.barycentric_coordinates!",href:"#GeometryOps.barycentric_coordinates!"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!")],-1)),s[67]||(s[67]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[68]||(s[68]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_coordinates!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(λs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector{&lt;: Real}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, method</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractBarycentricCoordinateMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, polygon, point)</span></span></code></pre></div><p>Loads the barycentric coordinates of <code>point</code> in <code>polygon</code> into <code>λs</code> using the barycentric coordinate method <code>method</code>.</p><p><code>λs</code> must be of the length of the polygon plus its holes.</p><div class="tip custom-block"><p class="custom-block-title">Tip</p><p>Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L133-L142" target="_blank" rel="noreferrer">source</a></p>',10))]),i("details",L,[i("summary",null,[s[69]||(s[69]=i("a",{id:"GeometryOps.barycentric_interpolate",href:"#GeometryOps.barycentric_interpolate"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate")],-1)),s[70]||(s[70]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[71]||(s[71]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">barycentric_interpolate</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(method </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), polygon, values</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractVector{V}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, point)</span></span></code></pre></div><p>Returns the interpolated value at <code>point</code> within <code>polygon</code> using the barycentric coordinate method <code>method</code>. <code>values</code> are the per-point values for the polygon which are to be interpolated.</p><p>Returns an object of type <code>V</code>.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L222-L234" target="_blank" rel="noreferrer">source</a></p>',10))]),s[392]||(s[392]=i("h2",{id:"Other-methods",tabindex:"-1"},[a("Other methods "),i("a",{class:"header-anchor",href:"#Other-methods","aria-label":'Permalink to "Other methods {#Other-methods}"'},"​")],-1)),i("details",I,[i("summary",null,[s[72]||(s[72]=i("a",{id:"GeometryOps.AbstractBarycentricCoordinateMethod",href:"#GeometryOps.AbstractBarycentricCoordinateMethod"},[i("span",{class:"jlbinding"},"GeometryOps.AbstractBarycentricCoordinateMethod")],-1)),s[73]||(s[73]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[74]||(s[74]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.</p><p><strong>API</strong></p><p>The following methods must be implemented for all subtypes:</p><ul><li><p><code>barycentric_coordinates!(λs::Vector{&lt;: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, point::Point{2, T2})</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V</code></p></li><li><p><code>barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{&lt;: Point{2, T1}}, interiors::Vector{&lt;: Vector{&lt;: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V</code></p></li></ul><p>The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L108-L121" target="_blank" rel="noreferrer">source</a></p>',7))]),i("details",M,[i("summary",null,[s[75]||(s[75]=i("a",{id:"GeometryOps.ClosedRing",href:"#GeometryOps.ClosedRing"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[76]||(s[76]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[77]||(s[77]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">ClosedRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that a polygon&#39;s exterior and interior rings are closed.</p><p>It can be called on any geometry correction as usual.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/closed_ring.jl#L38-L46" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",P,[i("summary",null,[s[78]||(s[78]=i("a",{id:"GeometryOps.DiffIntersectingPolygons",href:"#GeometryOps.DiffIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[79]||(s[79]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[80]||(s[80]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DiffIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygons included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be made nonintersecting through the <a href="/GeometryOps.jl/dev/api#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>difference</code></a> operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.UnionIntersectingPolygons"><code>UnionIntersectingPolygons</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L92-L99" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",q,[i("summary",null,[s[81]||(s[81]=i("a",{id:"GeometryOps.DouglasPeucker",href:"#GeometryOps.DouglasPeucker"},[i("span",{class:"jlbinding"},"GeometryOps.DouglasPeucker")],-1)),s[82]||(s[82]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[83]||(s[83]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">DouglasPeucker </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DouglasPeucker</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; number, ratio, tol)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance a point will be from the line joining its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L279-L289" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",R,[i("summary",null,[s[84]||(s[84]=i("a",{id:"GeometryOps.GEOS",href:"#GeometryOps.GEOS"},[i("span",{class:"jlbinding"},"GeometryOps.GEOS")],-1)),s[85]||(s[85]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[86]||(s[86]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; params</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>Dispatch is generally carried out using the names of the keyword arguments. For example, <code>segmentize</code> will only accept a <code>GEOS</code> struct with only a <code>max_distance</code> keyword, and no other.</p><p>It&#39;s generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/types.jl#L26-L38" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",S,[i("summary",null,[s[87]||(s[87]=i("a",{id:"GeometryOps.GeodesicSegments",href:"#GeometryOps.GeodesicSegments"},[i("span",{class:"jlbinding"},"GeometryOps.GeodesicSegments")],-1)),s[88]||(s[88]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[89]||(s[89]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GeodesicSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, equatorial_radius</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6378137</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, flattening</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">298.257223563</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.</p></div><p><strong>Arguments</strong></p><ul><li><p><code>max_distance::Real</code>: The maximum distance, <strong>in meters</strong>, between vertices in the geometry.</p></li><li><p><code>equatorial_radius::Real=6378137</code>: The equatorial radius of the Earth, in meters. Passed to <code>Proj.geod_geodesic</code>.</p></li><li><p><code>flattening::Real=1/298.257223563</code>: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to <code>Proj.geod_geodesic</code>.</p></li></ul><p>One can also omit the <code>equatorial_radius</code> and <code>flattening</code> keyword arguments, and pass a <code>geodesic</code> object directly to the eponymous keyword.</p><p>This method uses the Proj/GeographicLib API for geodesic calculations.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L123-L140" target="_blank" rel="noreferrer">source</a></p>',8))]),i("details",V,[i("summary",null,[s[90]||(s[90]=i("a",{id:"GeometryOps.GeometryCorrection",href:"#GeometryOps.GeometryCorrection"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[91]||(s[91]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[92]||(s[92]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",J,[i("summary",null,[s[93]||(s[93]=i("a",{id:"GeometryOps.GeometryOpsCore.BoolsAsTypes",href:"#GeometryOps.GeometryOpsCore.BoolsAsTypes"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.BoolsAsTypes")],-1)),s[94]||(s[94]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[95]||(s[95]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BoolsAsTypes</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L134-L137" target="_blank" rel="noreferrer">source</a></p>',2))]),i("details",U,[i("summary",null,[s[96]||(s[96]=i("a",{id:"GeometryOps.GeometryOpsCore.Geodesic",href:"#GeometryOps.GeometryOpsCore.Geodesic"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Geodesic")],-1)),s[97]||(s[97]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[109]||(s[109]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Geodesic</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; semimajor_axis, inv_flattening)</span></span></code></pre></div>',1)),i("p",null,[s[102]||(s[102]=a("A geodesic manifold means that the geometry is on a 3-dimensional ellipsoid, parameterized by ")),s[103]||(s[103]=i("code",null,"semimajor_axis",-1)),s[104]||(s[104]=a(" (")),i("mjx-container",H,[(p(),l("svg",N,s[98]||(s[98]=[i("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[i("g",{"data-mml-node":"math"},[i("g",{"data-mml-node":"mi"},[i("path",{"data-c":"1D44E",d:"M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z",style:{"stroke-width":"3"}})])])],-1)]))),s[99]||(s[99]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"a")])],-1))]),s[105]||(s[105]=a(" in mathematical parlance) and ")),s[106]||(s[106]=i("code",null,"inv_flattening",-1)),s[107]||(s[107]=a(" (")),i("mjx-container",W,[(p(),l("svg",_,s[100]||(s[100]=[e('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" style="stroke-width:3;"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(500,0)"><g data-mml-node="mo"><path data-c="2F" d="M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z" style="stroke-width:3;"></path></g></g><g data-mml-node="mi" transform="translate(1000,0)"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z" style="stroke-width:3;"></path></g></g></g>',1)]))),s[101]||(s[101]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mn",null,"1"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",null,"/")]),i("mi",null,"f")])],-1))]),s[108]||(s[108]=a(")."))]),s[110]||(s[110]=i("p",null,"Usually, this is only relevant for area and segmentization calculations. It becomes more relevant as one grows closer to the poles (or equator).",-1)),s[111]||(s[111]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L66-L73",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",z,[i("summary",null,[s[112]||(s[112]=i("a",{id:"GeometryOps.GeometryOpsCore.Linear",href:"#GeometryOps.GeometryOpsCore.Linear"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Linear")],-1)),s[113]||(s[113]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[114]||(s[114]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Linear</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>A linear manifold means that the space is completely Euclidean, and planar geometry suffices.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L38-L43" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",Z,[i("summary",null,[s[115]||(s[115]=i("a",{id:"GeometryOps.GeometryOpsCore.Manifold",href:"#GeometryOps.GeometryOpsCore.Manifold"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Manifold")],-1)),s[116]||(s[116]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[117]||(s[117]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Manifold</span></span></code></pre></div><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>We use the manifold definition to define the space in which an operation should be performed, or where a geometry lies.</p><p>Currently we have <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Linear"><code>Linear</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Spherical"><code>Spherical</code></a>, and <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Geodesic"><code>Geodesic</code></a> manifolds.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L27-L35" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",K,[i("summary",null,[s[118]||(s[118]=i("a",{id:"GeometryOps.GeometryOpsCore.Spherical",href:"#GeometryOps.GeometryOpsCore.Spherical"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Spherical")],-1)),s[119]||(s[119]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[130]||(s[130]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Spherical</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; radius)</span></span></code></pre></div><p>A spherical manifold means that the geometry is on the 3-sphere (but is represented by 2-D longitude and latitude).</p><p><strong>Extended help</strong></p>',3)),i("div",X,[s[128]||(s[128]=i("p",{class:"custom-block-title"},"Note",-1)),i("p",null,[s[122]||(s[122]=a("The traditional definition of spherical coordinates in physics and mathematics, ")),i("mjx-container",$,[(p(),l("svg",Y,s[120]||(s[120]=[e('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path 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pole).")],-1))]),s[131]||(s[131]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L47-L61",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",ss,[i("summary",null,[s[132]||(s[132]=i("a",{id:"GeometryOps.GeometryOpsCore.TraitTarget",href:"#GeometryOps.GeometryOpsCore.TraitTarget"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.TraitTarget")],-1)),s[133]||(s[133]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[134]||(s[134]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">TraitTarget{T}</span></span></code></pre></div><p>This struct holds a trait parameter or a union of trait parameters.</p><p>It is primarily used for dispatch into methods which select trait levels, like <code>apply</code>, or as a parameter to <code>target</code>.</p><p><strong>Constructors</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">())</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DouglasPeucker</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; number, ratio, tol)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance a point will be from the line joining its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L279-L289" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",R,[i("summary",null,[s[84]||(s[84]=i("a",{id:"GeometryOps.GEOS",href:"#GeometryOps.GEOS"},[i("span",{class:"jlbinding"},"GeometryOps.GEOS")],-1)),s[85]||(s[85]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[86]||(s[86]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; params</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>Dispatch is generally carried out using the names of the keyword arguments. For example, <code>segmentize</code> will only accept a <code>GEOS</code> struct with only a <code>max_distance</code> keyword, and no other.</p><p>It&#39;s generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/types.jl#L26-L38" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",S,[i("summary",null,[s[87]||(s[87]=i("a",{id:"GeometryOps.GeodesicSegments",href:"#GeometryOps.GeodesicSegments"},[i("span",{class:"jlbinding"},"GeometryOps.GeodesicSegments")],-1)),s[88]||(s[88]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[89]||(s[89]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GeodesicSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, equatorial_radius</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6378137</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, flattening</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">298.257223563</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.</p></div><p><strong>Arguments</strong></p><ul><li><p><code>max_distance::Real</code>: The maximum distance, <strong>in meters</strong>, between vertices in the geometry.</p></li><li><p><code>equatorial_radius::Real=6378137</code>: The equatorial radius of the Earth, in meters. Passed to <code>Proj.geod_geodesic</code>.</p></li><li><p><code>flattening::Real=1/298.257223563</code>: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to <code>Proj.geod_geodesic</code>.</p></li></ul><p>One can also omit the <code>equatorial_radius</code> and <code>flattening</code> keyword arguments, and pass a <code>geodesic</code> object directly to the eponymous keyword.</p><p>This method uses the Proj/GeographicLib API for geodesic calculations.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L123-L140" target="_blank" rel="noreferrer">source</a></p>',8))]),i("details",V,[i("summary",null,[s[90]||(s[90]=i("a",{id:"GeometryOps.GeometryCorrection",href:"#GeometryOps.GeometryCorrection"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[91]||(s[91]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[92]||(s[92]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",J,[i("summary",null,[s[93]||(s[93]=i("a",{id:"GeometryOps.GeometryOpsCore.BoolsAsTypes",href:"#GeometryOps.GeometryOpsCore.BoolsAsTypes"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.BoolsAsTypes")],-1)),s[94]||(s[94]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[95]||(s[95]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BoolsAsTypes</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L136-L139" target="_blank" rel="noreferrer">source</a></p>',2))]),i("details",U,[i("summary",null,[s[96]||(s[96]=i("a",{id:"GeometryOps.GeometryOpsCore.Geodesic",href:"#GeometryOps.GeometryOpsCore.Geodesic"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Geodesic")],-1)),s[97]||(s[97]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[109]||(s[109]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Geodesic</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; semimajor_axis, inv_flattening)</span></span></code></pre></div>',1)),i("p",null,[s[102]||(s[102]=a("A geodesic manifold means that the geometry is on a 3-dimensional ellipsoid, parameterized by ")),s[103]||(s[103]=i("code",null,"semimajor_axis",-1)),s[104]||(s[104]=a(" (")),i("mjx-container",H,[(p(),l("svg",N,s[98]||(s[98]=[i("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[i("g",{"data-mml-node":"math"},[i("g",{"data-mml-node":"mi"},[i("path",{"data-c":"1D44E",d:"M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z",style:{"stroke-width":"3"}})])])],-1)]))),s[99]||(s[99]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"a")])],-1))]),s[105]||(s[105]=a(" in mathematical parlance) and ")),s[106]||(s[106]=i("code",null,"inv_flattening",-1)),s[107]||(s[107]=a(" (")),i("mjx-container",W,[(p(),l("svg",_,s[100]||(s[100]=[e('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" style="stroke-width:3;"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(500,0)"><g data-mml-node="mo"><path data-c="2F" d="M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z" style="stroke-width:3;"></path></g></g><g data-mml-node="mi" transform="translate(1000,0)"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z" style="stroke-width:3;"></path></g></g></g>',1)]))),s[101]||(s[101]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mn",null,"1"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",null,"/")]),i("mi",null,"f")])],-1))]),s[108]||(s[108]=a(")."))]),s[110]||(s[110]=i("p",null,"Usually, this is only relevant for area and segmentization calculations. It becomes more relevant as one grows closer to the poles (or equator).",-1)),s[111]||(s[111]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L68-L75",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",z,[i("summary",null,[s[112]||(s[112]=i("a",{id:"GeometryOps.GeometryOpsCore.Manifold",href:"#GeometryOps.GeometryOpsCore.Manifold"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Manifold")],-1)),s[113]||(s[113]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[114]||(s[114]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Manifold</span></span></code></pre></div><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>We use the manifold definition to define the space in which an operation should be performed, or where a geometry lies.</p><p>Currently we have <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Planar"><code>Planar</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Spherical"><code>Spherical</code></a>, and <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryOpsCore.Geodesic"><code>Geodesic</code></a> manifolds.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L27-L35" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",Z,[i("summary",null,[s[115]||(s[115]=i("a",{id:"GeometryOps.GeometryOpsCore.Planar",href:"#GeometryOps.GeometryOpsCore.Planar"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Planar")],-1)),s[116]||(s[116]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[117]||(s[117]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Planar</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>A planar manifold refers to the 2D Euclidean plane.</p><p>Z coordinates may be accepted but will not influence geometry calculations, which are done purely on 2D geometry. This is the standard &quot;2.5D&quot; model used by e.g. GEOS.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L38-L45" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",K,[i("summary",null,[s[118]||(s[118]=i("a",{id:"GeometryOps.GeometryOpsCore.Spherical",href:"#GeometryOps.GeometryOpsCore.Spherical"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.Spherical")],-1)),s[119]||(s[119]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[130]||(s[130]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Spherical</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; radius)</span></span></code></pre></div><p>A spherical manifold means that the 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"),i("code",null,"lat"),a(" is latitude between "),i("code",null,"-90"),a(" (south pole) and "),i("code",null,"90"),a(" (north pole).")],-1))]),s[131]||(s[131]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L49-L63",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",ss,[i("summary",null,[s[132]||(s[132]=i("a",{id:"GeometryOps.GeometryOpsCore.TraitTarget",href:"#GeometryOps.GeometryOpsCore.TraitTarget"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.TraitTarget")],-1)),s[133]||(s[133]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[134]||(s[134]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">TraitTarget{T}</span></span></code></pre></div><p>This struct holds a trait parameter or a union of trait parameters.</p><p>It is primarily used for dispatch into methods which select trait levels, like <code>apply</code>, or as a parameter to <code>target</code>.</p><p><strong>Constructors</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">())</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineStringTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRingTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()) </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># and other traits as you may like</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># There are also type based constructors available, but that&#39;s not advised.</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">PointTrait)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TraitTarget</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Union{GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LineStringTrait, GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LinearRingTrait})</span></span>
-<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># etc.</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L86-L105" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",is,[i("summary",null,[s[135]||(s[135]=i("a",{id:"GeometryOps.GeometryOpsCore._False",href:"#GeometryOps.GeometryOpsCore._False"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._False")],-1)),s[136]||(s[136]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[137]||(s[137]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _False </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>false</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L147-L151" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",as,[i("summary",null,[s[138]||(s[138]=i("a",{id:"GeometryOps.GeometryOpsCore._True",href:"#GeometryOps.GeometryOpsCore._True"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._True")],-1)),s[139]||(s[139]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[140]||(s[140]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _True </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>true</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L140-L144" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",es,[i("summary",null,[s[141]||(s[141]=i("a",{id:"GeometryOps.LineOrientation",href:"#GeometryOps.LineOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.LineOrientation")],-1)),s[142]||(s[142]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[143]||(s[143]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum LineOrientation</span></span></code></pre></div><p>Enum for the orientation of a line with respect to a curve. A line can be <code>line_cross</code> (crossing over the curve), <code>line_hinge</code> (crossing the endpoint of the curve), <code>line_over</code> (collinear with the curve), or <code>line_out</code> (not interacting with the curve).</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/intersection.jl#L4-L9" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",ts,[i("summary",null,[s[144]||(s[144]=i("a",{id:"GeometryOps.LinearSegments",href:"#GeometryOps.LinearSegments"},[i("span",{class:"jlbinding"},"GeometryOps.LinearSegments")],-1)),s[145]||(s[145]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[146]||(s[146]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.</p><p>Here, <code>max_distance</code> is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the <code>max_distance</code> will be in degrees of arc. If the polygon is provided in meters, then the <code>max_distance</code> will be in meters.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L110-L118" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",ns,[i("summary",null,[s[147]||(s[147]=i("a",{id:"GeometryOps.MeanValue",href:"#GeometryOps.MeanValue"},[i("span",{class:"jlbinding"},"GeometryOps.MeanValue")],-1)),s[148]||(s[148]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[149]||(s[149]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>This method calculates barycentric coordinates using the mean value method.</p><p><strong>References</strong></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L261-L268" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",ls,[i("summary",null,[s[150]||(s[150]=i("a",{id:"GeometryOps.MonotoneChainMethod",href:"#GeometryOps.MonotoneChainMethod"},[i("span",{class:"jlbinding"},"GeometryOps.MonotoneChainMethod")],-1)),s[151]||(s[151]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[152]||(s[152]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MonotoneChainMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>This is an algorithm for the <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a> function.</p><p>Uses <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer"><code>DelaunayTriangulation.jl</code></a> to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L94-L103" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",ps,[i("summary",null,[s[153]||(s[153]=i("a",{id:"GeometryOps.PointOrientation",href:"#GeometryOps.PointOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.PointOrientation")],-1)),s[154]||(s[154]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[155]||(s[155]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum PointOrientation</span></span></code></pre></div><p>Enum for the orientation of a point with respect to a curve. A point can be <code>point_in</code> the curve, <code>point_on</code> the curve, or <code>point_out</code> of the curve.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/geom_geom_processors.jl#L7-L12" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",hs,[i("summary",null,[s[156]||(s[156]=i("a",{id:"GeometryOps.RadialDistance",href:"#GeometryOps.RadialDistance"},[i("span",{class:"jlbinding"},"GeometryOps.RadialDistance")],-1)),s[157]||(s[157]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[158]||(s[158]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">RadialDistance </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span></code></pre></div><p>Simplifies geometries by removing points less than <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance between points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L240-L250" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",ks,[i("summary",null,[s[159]||(s[159]=i("a",{id:"GeometryOps.SimplifyAlg",href:"#GeometryOps.SimplifyAlg"},[i("span",{class:"jlbinding"},"GeometryOps.SimplifyAlg")],-1)),s[160]||(s[160]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[161]||(s[161]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SimplifyAlg</span></span></code></pre></div><p>Abstract type for simplification algorithms.</p><p><strong>API</strong></p><p>For now, the algorithm must hold the <code>number</code>, <code>ratio</code> and <code>tol</code> properties.</p><p>Simplification algorithm types can hook into the interface by implementing the <code>_simplify(trait, alg, geom)</code> methods for whichever traits are necessary.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L115-L126" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",rs,[i("summary",null,[s[162]||(s[162]=i("a",{id:"GeometryOps.UnionIntersectingPolygons",href:"#GeometryOps.UnionIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[163]||(s[163]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[164]||(s[164]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">UnionIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygon&#39;s included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L47-L56" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",os,[i("summary",null,[s[165]||(s[165]=i("a",{id:"GeometryOps.VisvalingamWhyatt",href:"#GeometryOps.VisvalingamWhyatt"},[i("span",{class:"jlbinding"},"GeometryOps.VisvalingamWhyatt")],-1)),s[166]||(s[166]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[167]||(s[167]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">VisvalingamWhyatt </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># etc.</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L88-L107" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",is,[i("summary",null,[s[135]||(s[135]=i("a",{id:"GeometryOps.GeometryOpsCore._False",href:"#GeometryOps.GeometryOpsCore._False"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._False")],-1)),s[136]||(s[136]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[137]||(s[137]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _False </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>false</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L149-L153" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",as,[i("summary",null,[s[138]||(s[138]=i("a",{id:"GeometryOps.GeometryOpsCore._True",href:"#GeometryOps.GeometryOpsCore._True"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._True")],-1)),s[139]||(s[139]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[140]||(s[140]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _True </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BoolsAsTypes</span></span></code></pre></div><p>A struct that means <code>true</code>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L142-L146" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",es,[i("summary",null,[s[141]||(s[141]=i("a",{id:"GeometryOps.LineOrientation",href:"#GeometryOps.LineOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.LineOrientation")],-1)),s[142]||(s[142]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[143]||(s[143]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum LineOrientation</span></span></code></pre></div><p>Enum for the orientation of a line with respect to a curve. A line can be <code>line_cross</code> (crossing over the curve), <code>line_hinge</code> (crossing the endpoint of the curve), <code>line_over</code> (collinear with the curve), or <code>line_out</code> (not interacting with the curve).</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/intersection.jl#L4-L9" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",ts,[i("summary",null,[s[144]||(s[144]=i("a",{id:"GeometryOps.LinearSegments",href:"#GeometryOps.LinearSegments"},[i("span",{class:"jlbinding"},"GeometryOps.LinearSegments")],-1)),s[145]||(s[145]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[146]||(s[146]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.</p><p>Here, <code>max_distance</code> is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the <code>max_distance</code> will be in degrees of arc. If the polygon is provided in meters, then the <code>max_distance</code> will be in meters.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/segmentize.jl#L110-L118" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",ns,[i("summary",null,[s[147]||(s[147]=i("a",{id:"GeometryOps.MeanValue",href:"#GeometryOps.MeanValue"},[i("span",{class:"jlbinding"},"GeometryOps.MeanValue")],-1)),s[148]||(s[148]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[149]||(s[149]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MeanValue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> AbstractBarycentricCoordinateMethod</span></span></code></pre></div><p>This method calculates barycentric coordinates using the mean value method.</p><p><strong>References</strong></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L261-L268" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",ls,[i("summary",null,[s[150]||(s[150]=i("a",{id:"GeometryOps.MonotoneChainMethod",href:"#GeometryOps.MonotoneChainMethod"},[i("span",{class:"jlbinding"},"GeometryOps.MonotoneChainMethod")],-1)),s[151]||(s[151]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[152]||(s[152]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MonotoneChainMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>This is an algorithm for the <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a> function.</p><p>Uses <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer"><code>DelaunayTriangulation.jl</code></a> to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.convex_hull"><code>convex_hull</code></a></p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L94-L103" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",ps,[i("summary",null,[s[153]||(s[153]=i("a",{id:"GeometryOps.PointOrientation",href:"#GeometryOps.PointOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.PointOrientation")],-1)),s[154]||(s[154]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[155]||(s[155]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Enum PointOrientation</span></span></code></pre></div><p>Enum for the orientation of a point with respect to a curve. A point can be <code>point_in</code> the curve, <code>point_on</code> the curve, or <code>point_out</code> of the curve.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/geom_geom_processors.jl#L7-L12" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",hs,[i("summary",null,[s[156]||(s[156]=i("a",{id:"GeometryOps.RadialDistance",href:"#GeometryOps.RadialDistance"},[i("span",{class:"jlbinding"},"GeometryOps.RadialDistance")],-1)),s[157]||(s[157]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[158]||(s[158]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">RadialDistance </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span></code></pre></div><p>Simplifies geometries by removing points less than <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum distance between points.</p></li></ul><p>Note: user input <code>tol</code> is squared to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L240-L250" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",ks,[i("summary",null,[s[159]||(s[159]=i("a",{id:"GeometryOps.SimplifyAlg",href:"#GeometryOps.SimplifyAlg"},[i("span",{class:"jlbinding"},"GeometryOps.SimplifyAlg")],-1)),s[160]||(s[160]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[161]||(s[161]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SimplifyAlg</span></span></code></pre></div><p>Abstract type for simplification algorithms.</p><p><strong>API</strong></p><p>For now, the algorithm must hold the <code>number</code>, <code>ratio</code> and <code>tol</code> properties.</p><p>Simplification algorithm types can hook into the interface by implementing the <code>_simplify(trait, alg, geom)</code> methods for whichever traits are necessary.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L115-L126" target="_blank" rel="noreferrer">source</a></p>',6))]),i("details",rs,[i("summary",null,[s[162]||(s[162]=i("a",{id:"GeometryOps.UnionIntersectingPolygons",href:"#GeometryOps.UnionIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[163]||(s[163]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[164]||(s[164]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">UnionIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygon&#39;s included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L47-L56" target="_blank" rel="noreferrer">source</a></p>',4))]),i("details",os,[i("summary",null,[s[165]||(s[165]=i("a",{id:"GeometryOps.VisvalingamWhyatt",href:"#GeometryOps.VisvalingamWhyatt"},[i("span",{class:"jlbinding"},"GeometryOps.VisvalingamWhyatt")],-1)),s[166]||(s[166]=a()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[167]||(s[167]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">VisvalingamWhyatt </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> SimplifyAlg</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">VisvalingamWhyatt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum area of a triangle made with a point and its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is doubled to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L415-L427" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",ds,[i("summary",null,[s[168]||(s[168]=i("a",{id:"GeometryOps.GeometryOpsCore._booltype",href:"#GeometryOps.GeometryOpsCore._booltype"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._booltype")],-1)),s[169]||(s[169]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[170]||(s[170]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">_booltype</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x)</span></span></code></pre></div><p>Returns a <a href="/GeometryOps.jl/dev/source/src/types#BoolsAsTypes"><code>BoolsAsTypes</code></a> from <code>x</code>, whether it&#39;s a boolean or a BoolsAsTypes.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L154-L158" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",gs,[i("summary",null,[s[171]||(s[171]=i("a",{id:"GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F",href:"#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[172]||(s[172]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[173]||(s[173]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">VisvalingamWhyatt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Simplifies geometries by removing points below <code>tol</code> distance from the line between its neighboring points.</p><p><strong>Keywords</strong></p><ul><li><p><code>ratio</code>: the fraction of points that should remain after <code>simplify</code>. Useful as it will generalise for large collections of objects.</p></li><li><p><code>number</code>: the number of points that should remain after <code>simplify</code>. Less useful for large collections of mixed size objects.</p></li><li><p><code>tol</code>: the minimum area of a triangle made with a point and its neighboring points.</p></li></ul><p>Note: user input <code>tol</code> is doubled to avoid unnecessary computation in algorithm.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/simplify.jl#L415-L427" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",ds,[i("summary",null,[s[168]||(s[168]=i("a",{id:"GeometryOps.GeometryOpsCore._booltype",href:"#GeometryOps.GeometryOpsCore._booltype"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore._booltype")],-1)),s[169]||(s[169]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[170]||(s[170]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">_booltype</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x)</span></span></code></pre></div><p>Returns a <a href="/GeometryOps.jl/dev/source/src/types#BoolsAsTypes"><code>BoolsAsTypes</code></a> from <code>x</code>, whether it&#39;s a boolean or a BoolsAsTypes.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/GeometryOpsCore/src/types.jl#L156-L160" target="_blank" rel="noreferrer">source</a></p>',3))]),i("details",gs,[i("summary",null,[s[171]||(s[171]=i("a",{id:"GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F",href:"#GeometryOps.GeometryOpsCore.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[172]||(s[172]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[173]||(s[173]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]),</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                   GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
@@ -301,14 +301,14 @@ import{_ as h,c as l,a5 as e,j as i,a,G as n,B as k,o as p}from"./chunks/framewo
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">contains</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(line, point)</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># output</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/contains.jl#L43-L64" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",Ds,[i("summary",null,[s[222]||(s[222]=i("a",{id:"GeometryOps.convex_hull",href:"#GeometryOps.convex_hull"},[i("span",{class:"jlbinding"},"GeometryOps.convex_hull")],-1)),s[223]||(s[223]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[224]||(s[224]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([method], geometries)</span></span></code></pre></div><p>Compute the convex hull of the points in <code>geometries</code>. Returns a <code>GI.Polygon</code> representing the convex hull.</p><p>Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>This interface only computes the 2-dimensional convex hull!</p><p>For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L77-L91" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",xs,[i("summary",null,[s[225]||(s[225]=i("a",{id:"GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.coverage")],-1)),s[226]||(s[226]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[227]||(s[227]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coverage</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom, xmin, xmax, ymin, ymax, [T </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Float64])</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">T</span></span></code></pre></div><p>Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:</p><ul><li><p>The signed area of a point is always zero.</p></li><li><p>The signed area of a curve is always zero.</p></li><li><p>The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.</p></li><li><p>The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.</p></li></ul><p>Result will be of type T, where T is an optional argument with a default value of Float64.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/coverage.jl#L45-L60" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",Qs,[i("summary",null,[s[228]||(s[228]=i("a",{id:"GeometryOps.coveredby-Tuple{Any, Any}",href:"#GeometryOps.coveredby-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.coveredby")],-1)),s[229]||(s[229]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[230]||(s[230]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coveredby</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(g1, g2)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return <code>true</code> if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).</p><p>Furthermore, <code>coveredby</code> returns the exact opposite result of <code>covers</code>. They are equivalent with the order of the arguments swapped.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/contains.jl#L43-L64" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",Ds,[i("summary",null,[s[222]||(s[222]=i("a",{id:"GeometryOps.convex_hull",href:"#GeometryOps.convex_hull"},[i("span",{class:"jlbinding"},"GeometryOps.convex_hull")],-1)),s[223]||(s[223]=a()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[224]||(s[224]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([method], geometries)</span></span></code></pre></div><p>Compute the convex hull of the points in <code>geometries</code>. Returns a <code>GI.Polygon</code> representing the convex hull.</p><p>Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>This interface only computes the 2-dimensional convex hull!</p><p>For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/convex_hull.jl#L77-L91" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",xs,[i("summary",null,[s[225]||(s[225]=i("a",{id:"GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.coverage")],-1)),s[226]||(s[226]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[227]||(s[227]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coverage</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom, xmin, xmax, ymin, ymax, [T </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Float64])</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">T</span></span></code></pre></div><p>Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:</p><ul><li><p>The signed area of a point is always zero.</p></li><li><p>The signed area of a curve is always zero.</p></li><li><p>The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.</p></li><li><p>The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.</p></li></ul><p>Result will be of type T, where T is an optional argument with a default value of Float64.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/coverage.jl#L45-L60" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",ws,[i("summary",null,[s[228]||(s[228]=i("a",{id:"GeometryOps.coveredby-Tuple{Any, Any}",href:"#GeometryOps.coveredby-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.coveredby")],-1)),s[229]||(s[229]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[230]||(s[230]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coveredby</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(g1, g2)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return <code>true</code> if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).</p><p>Furthermore, <code>coveredby</code> returns the exact opposite result of <code>covers</code>. They are equivalent with the order of the arguments swapped.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">p1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">l1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Line</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([p1, p2])</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coveredby</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, l1)</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># output</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/coveredby.jl#L58-L79" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",ws,[i("summary",null,[s[231]||(s[231]=i("a",{id:"GeometryOps.covers-Tuple{Any, Any}",href:"#GeometryOps.covers-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.covers")],-1)),s[232]||(s[232]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[233]||(s[233]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">covers</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(g1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, g2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.</p><p><code>covers</code> returns the exact opposite result of <code>coveredby</code>.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/coveredby.jl#L58-L79" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",Qs,[i("summary",null,[s[231]||(s[231]=i("a",{id:"GeometryOps.covers-Tuple{Any, Any}",href:"#GeometryOps.covers-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.covers")],-1)),s[232]||(s[232]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[233]||(s[233]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">covers</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(g1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, g2</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.</p><p><code>covers</code> returns the exact opposite result of <code>coveredby</code>.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">l1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">l2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])</span></span>
 <span class="line"></span>
@@ -520,11 +520,11 @@ import{_ as h,c as l,a5 as e,j as i,a,G as n,B as k,o as p}from"./chunks/framewo
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># output</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">element Vector{Vector{Vector{Vector{Float64}}}}</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [[[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">13.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]]]</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/union.jl#L4-L34" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",xi,[i("summary",null,[s[381]||(s[381]=i("a",{id:"GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real",href:"#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real"},[i("span",{class:"jlbinding"},"GeometryOps.weighted_mean")],-1)),s[382]||(s[382]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[383]||(s[383]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">weighted_mean</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(weight</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, x1, x2)</span></span></code></pre></div><p>Returns the weighted mean of <code>x1</code> and <code>x2</code>, where <code>weight</code> is the weight of <code>x1</code>.</p><p>Specifically, calculates <code>x1 * weight + x2 * (1 - weight)</code>.</p><div class="tip custom-block"><p class="custom-block-title">Note</p><p>The idea for this method is that you can override this for custom types, like Color types, in extension modules.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L246-L255" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",Qi,[i("summary",null,[s[384]||(s[384]=i("a",{id:"GeometryOps.within-Tuple{Any, Any}",href:"#GeometryOps.within-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.within")],-1)),s[385]||(s[385]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[386]||(s[386]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">within</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom1, geom2)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return <code>true</code> if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).</p><p>Furthermore, <code>within</code> returns the exact opposite result of <code>contains</code>.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [[[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">13.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]]]</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/union.jl#L4-L34" target="_blank" rel="noreferrer">source</a></p>`,6))]),i("details",xi,[i("summary",null,[s[381]||(s[381]=i("a",{id:"GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real",href:"#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real"},[i("span",{class:"jlbinding"},"GeometryOps.weighted_mean")],-1)),s[382]||(s[382]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[383]||(s[383]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">weighted_mean</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(weight</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, x1, x2)</span></span></code></pre></div><p>Returns the weighted mean of <code>x1</code> and <code>x2</code>, where <code>weight</code> is the weight of <code>x1</code>.</p><p>Specifically, calculates <code>x1 * weight + x2 * (1 - weight)</code>.</p><div class="tip custom-block"><p class="custom-block-title">Note</p><p>The idea for this method is that you can override this for custom types, like Color types, in extension modules.</p></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L246-L255" target="_blank" rel="noreferrer">source</a></p>',5))]),i("details",wi,[i("summary",null,[s[384]||(s[384]=i("a",{id:"GeometryOps.within-Tuple{Any, Any}",href:"#GeometryOps.within-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.within")],-1)),s[385]||(s[385]=a()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[386]||(s[386]=e(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">within</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom1, geom2)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span></span></code></pre></div><p>Return <code>true</code> if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).</p><p>Furthermore, <code>within</code> returns the exact opposite result of <code>contains</code>.</p><p><strong>Examples</strong></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">line </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">within</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point, line)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># output</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/within.jl#L61-L82" target="_blank" rel="noreferrer">source</a></p>`,6))]),s[393]||(s[393]=e('<hr class="footnotes-sep"><section class="footnotes"><ol class="footnotes-list"><li id="fn1" class="footnote-item"><p>K. Hormann and N. Sukumar. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor &amp; Fancis, CRC Press, 2017. <a href="#fnref1" class="footnote-backref">↩︎</a></p></li></ol></section>',2))])}const Vi=h(r,[["render",wi]]);export{Si as __pageData,Vi as default};
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span></span></code></pre></div><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/geom_relations/within.jl#L61-L82" target="_blank" rel="noreferrer">source</a></p>`,6))]),s[393]||(s[393]=e('<hr class="footnotes-sep"><section class="footnotes"><ol class="footnotes-list"><li id="fn1" class="footnote-item"><p>K. Hormann and N. Sukumar. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor &amp; Fancis, CRC Press, 2017. <a href="#fnref1" class="footnote-backref">↩︎</a></p></li></ol></section>',2))])}const Vi=h(r,[["render",Qi]]);export{Si as __pageData,Vi as default};
diff --git a/dev/assets/pupvizg.Bglvb-jp.png b/dev/assets/aplmaug.Bglvb-jp.png
similarity index 100%
rename from dev/assets/pupvizg.Bglvb-jp.png
rename to dev/assets/aplmaug.Bglvb-jp.png
diff --git a/dev/assets/app.C6vbXxf5.js b/dev/assets/app.1ogsJ7mO.js
similarity index 90%
rename from dev/assets/app.C6vbXxf5.js
rename to dev/assets/app.1ogsJ7mO.js
index 4d4ccc4ba..d187828c6 100644
--- a/dev/assets/app.C6vbXxf5.js
+++ b/dev/assets/app.1ogsJ7mO.js
@@ -1 +1 @@
-import{R as p}from"./chunks/theme.D9kCPeTG.js";import{R as o,a6 as u,a7 as c,a8 as l,a9 as f,aa as d,ab as m,ac as h,ad as g,ae as A,af as v,d as P,u as R,v as w,s as y,ag as C,ah as b,ai as E,a4 as S}from"./chunks/framework.O43fB7X6.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(p),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=R();return w(()=>{y(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),b(),E(),s.setup&&s.setup(),()=>S(s.Layout)}});async function D(){globalThis.__VITEPRESS__=!0;const e=j(),a=_();a.provide(c,e);const t=l(e.route);return a.provide(f,t),a.component("Content",d),a.component("ClientOnly",m),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:h}),{app:a,router:e,data:t}}function _(){return g(T)}function j(){let e=o,a;return A(t=>{let n=v(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&D().then(({app:e,router:a,data:t})=>{a.go().then(()=>{u(a.route,t.site),e.mount("#app")})});export{D as createApp};
+import{R as p}from"./chunks/theme.D6URMT7s.js";import{R as o,a6 as u,a7 as c,a8 as l,a9 as f,aa as d,ab as m,ac as h,ad as g,ae as A,af as v,d as P,u as R,v as w,s as y,ag as C,ah as b,ai as E,a4 as S}from"./chunks/framework.B_n_RGhH.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(p),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=R();return w(()=>{y(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),b(),E(),s.setup&&s.setup(),()=>S(s.Layout)}});async function D(){globalThis.__VITEPRESS__=!0;const e=j(),a=_();a.provide(c,e);const t=l(e.route);return a.provide(f,t),a.component("Content",d),a.component("ClientOnly",m),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:h}),{app:a,router:e,data:t}}function _(){return g(T)}function j(){let e=o,a;return A(t=>{let n=v(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&D().then(({app:e,router:a,data:t})=>{a.go().then(()=>{u(a.route,t.site),e.mount("#app")})});export{D as createApp};
diff --git a/dev/assets/rvdgstm.-VpeHhXX.png b/dev/assets/bhglzly.-VpeHhXX.png
similarity index 100%
rename from dev/assets/rvdgstm.-VpeHhXX.png
rename to dev/assets/bhglzly.-VpeHhXX.png
diff --git a/dev/assets/vygiwkc.B94PsR1K.png b/dev/assets/bqfrspk.B94PsR1K.png
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rename from dev/assets/vygiwkc.B94PsR1K.png
rename to dev/assets/bqfrspk.B94PsR1K.png
diff --git a/dev/assets/kycmsab.BD0hVfse.png b/dev/assets/bsfjfzw.BD0hVfse.png
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rename from dev/assets/kycmsab.BD0hVfse.png
rename to dev/assets/bsfjfzw.BD0hVfse.png
diff --git a/dev/assets/jqhztwg.Dig-DWOQ.png b/dev/assets/byztndv.Dig-DWOQ.png
similarity index 100%
rename from dev/assets/jqhztwg.Dig-DWOQ.png
rename to dev/assets/byztndv.Dig-DWOQ.png
diff --git a/dev/assets/call_notes.md.CbnJ0VFx.lean.js b/dev/assets/call_notes.md.4XfLIuCb.js
similarity index 98%
rename from dev/assets/call_notes.md.CbnJ0VFx.lean.js
rename to dev/assets/call_notes.md.4XfLIuCb.js
index 01f15df40..bc66d8a83 100644
--- a/dev/assets/call_notes.md.CbnJ0VFx.lean.js
+++ b/dev/assets/call_notes.md.4XfLIuCb.js
@@ -1 +1 @@
-import{_ as i,c as l,a5 as t,o}from"./chunks/framework.O43fB7X6.js";const u=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"call_notes.md","filePath":"call_notes.md","lastUpdated":null}'),a={name:"call_notes.md"};function r(n,e,s,p,c,d){return o(),l("div",null,e[0]||(e[0]=[t('<h2 id="20th-April,-2024" tabindex="-1">20th April, 2024 <a class="header-anchor" href="#20th-April,-2024" aria-label="Permalink to &quot;20th April, 2024 {#20th-April,-2024}&quot;">​</a></h2><p>See <a href="https://github.com/JuliaGeo/GeometryOps.jl/issues/114" target="_blank" rel="noreferrer">GeometryOps#114</a>.</p><ul><li><p>[ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.</p></li><li><p>[ ] Add Shewchuck&#39;s adaptive math as a stage for exact predicates.</p><ul><li>[ ] We can add this by simply adding a function which creates and does the error check for MultiFloat numbers, in the vein of <a href="https://github.com/lairez/ExactPredicates.jl/blob/a9dce0334ee62104a14930fe206764bf802c23db/src/Codegen.jl#L468C1-L471C13" target="_blank" rel="noreferrer">the code to generate the main function of a predicate</a> from ExactPredicates.</li></ul></li><li><p>[x] @skygering to write docstrings for the predicates</p></li></ul><h2 id="29th-Feb,-2024" tabindex="-1">29th Feb, 2024 <a class="header-anchor" href="#29th-Feb,-2024" aria-label="Permalink to &quot;29th Feb, 2024 {#29th-Feb,-2024}&quot;">​</a></h2><h3 id="To-do" tabindex="-1">To do <a class="header-anchor" href="#To-do" aria-label="Permalink to &quot;To do {#To-do}&quot;">​</a></h3><ul><li><p>[ ] Finish clipping degeneracies</p></li><li><p>[ ] Fix cross &amp; overlap functions</p></li><li><p>[x] Benchmarks to show why things you couldn&#39;t concieve of in R are doable in Julia</p></li><li><p>[x] profile functions for exponential improvements</p></li><li><p>[ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it&#39;s an undergrad level project</p></li><li><p>[ ] Doc improvements</p><ul><li><p>more</p></li><li><p>benchmarks page</p></li></ul></li><li><p>Methods to validate and fix geometry</p><ul><li><p>[ ] Polygons and LinearRings:</p><ul><li><p>[ ] self-intersection</p></li><li><p>[ ] holes are actually within the polygon</p></li><li><p>[ ] Polygon exteriors must be counterclockwise, holes clockwise.</p></li><li><p>[ ] length of all rings &gt; 4</p></li><li><p>[ ] repeated last point</p></li></ul></li><li><p>[ ] LineStrings: NaN/Inf points</p></li><li><p>[x] Fix linear rings at some point to make sure the ring is closed, i.e., <code>points[end] == points[begin]</code></p></li><li></li><li></li></ul></li><li><p>Tests</p><ul><li><p>[x] Simplify functions</p></li><li><p>[x] Polygonize</p></li><li><p>Barycentric tests for <code>n_vertices &gt; 4</code></p></li></ul></li></ul><h3 id="done" tabindex="-1">Done <a class="header-anchor" href="#done" aria-label="Permalink to &quot;Done&quot;">​</a></h3><ul><li><p>Rename <code>bools.jl</code> to something more relevant to the actual code -&gt; <code>orientation.jl</code></p></li><li><p>Doc improvements:</p><ul><li>organise sections</li></ul></li></ul>',8)]))}const f=i(a,[["render",r]]);export{u as __pageData,f as default};
+import{_ as i,c as l,a5 as t,o}from"./chunks/framework.B_n_RGhH.js";const u=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"call_notes.md","filePath":"call_notes.md","lastUpdated":null}'),a={name:"call_notes.md"};function r(n,e,s,p,c,d){return o(),l("div",null,e[0]||(e[0]=[t('<h2 id="20th-April,-2024" tabindex="-1">20th April, 2024 <a class="header-anchor" href="#20th-April,-2024" aria-label="Permalink to &quot;20th April, 2024 {#20th-April,-2024}&quot;">​</a></h2><p>See <a href="https://github.com/JuliaGeo/GeometryOps.jl/issues/114" target="_blank" rel="noreferrer">GeometryOps#114</a>.</p><ul><li><p>[ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.</p></li><li><p>[ ] Add Shewchuck&#39;s adaptive math as a stage for exact predicates.</p><ul><li>[ ] We can add this by simply adding a function which creates and does the error check for MultiFloat numbers, in the vein of <a href="https://github.com/lairez/ExactPredicates.jl/blob/a9dce0334ee62104a14930fe206764bf802c23db/src/Codegen.jl#L468C1-L471C13" target="_blank" rel="noreferrer">the code to generate the main function of a predicate</a> from ExactPredicates.</li></ul></li><li><p>[x] @skygering to write docstrings for the predicates</p></li></ul><h2 id="29th-Feb,-2024" tabindex="-1">29th Feb, 2024 <a class="header-anchor" href="#29th-Feb,-2024" aria-label="Permalink to &quot;29th Feb, 2024 {#29th-Feb,-2024}&quot;">​</a></h2><h3 id="To-do" tabindex="-1">To do <a class="header-anchor" href="#To-do" aria-label="Permalink to &quot;To do {#To-do}&quot;">​</a></h3><ul><li><p>[ ] Finish clipping degeneracies</p></li><li><p>[ ] Fix cross &amp; overlap functions</p></li><li><p>[x] Benchmarks to show why things you couldn&#39;t concieve of in R are doable in Julia</p></li><li><p>[x] profile functions for exponential improvements</p></li><li><p>[ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it&#39;s an undergrad level project</p></li><li><p>[ ] Doc improvements</p><ul><li><p>more</p></li><li><p>benchmarks page</p></li></ul></li><li><p>Methods to validate and fix geometry</p><ul><li><p>[ ] Polygons and LinearRings:</p><ul><li><p>[ ] self-intersection</p></li><li><p>[ ] holes are actually within the polygon</p></li><li><p>[ ] Polygon exteriors must be counterclockwise, holes clockwise.</p></li><li><p>[ ] length of all rings &gt; 4</p></li><li><p>[ ] repeated last point</p></li></ul></li><li><p>[ ] LineStrings: NaN/Inf points</p></li><li><p>[x] Fix linear rings at some point to make sure the ring is closed, i.e., <code>points[end] == points[begin]</code></p></li><li></li><li></li></ul></li><li><p>Tests</p><ul><li><p>[x] Simplify functions</p></li><li><p>[x] Polygonize</p></li><li><p>Barycentric tests for <code>n_vertices &gt; 4</code></p></li></ul></li></ul><h3 id="done" tabindex="-1">Done <a class="header-anchor" href="#done" aria-label="Permalink to &quot;Done&quot;">​</a></h3><ul><li><p>Rename <code>bools.jl</code> to something more relevant to the actual code -&gt; <code>orientation.jl</code></p></li><li><p>Doc improvements:</p><ul><li>organise sections</li></ul></li></ul>',8)]))}const f=i(a,[["render",r]]);export{u as __pageData,f as default};
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-import{_ as i,c as l,a5 as t,o}from"./chunks/framework.O43fB7X6.js";const u=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"call_notes.md","filePath":"call_notes.md","lastUpdated":null}'),a={name:"call_notes.md"};function r(n,e,s,p,c,d){return o(),l("div",null,e[0]||(e[0]=[t('<h2 id="20th-April,-2024" tabindex="-1">20th April, 2024 <a class="header-anchor" href="#20th-April,-2024" aria-label="Permalink to &quot;20th April, 2024 {#20th-April,-2024}&quot;">​</a></h2><p>See <a href="https://github.com/JuliaGeo/GeometryOps.jl/issues/114" target="_blank" rel="noreferrer">GeometryOps#114</a>.</p><ul><li><p>[ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.</p></li><li><p>[ ] Add Shewchuck&#39;s adaptive math as a stage for exact predicates.</p><ul><li>[ ] We can add this by simply adding a function which creates and does the error check for MultiFloat numbers, in the vein of <a href="https://github.com/lairez/ExactPredicates.jl/blob/a9dce0334ee62104a14930fe206764bf802c23db/src/Codegen.jl#L468C1-L471C13" target="_blank" rel="noreferrer">the code to generate the main function of a predicate</a> from ExactPredicates.</li></ul></li><li><p>[x] @skygering to write docstrings for the predicates</p></li></ul><h2 id="29th-Feb,-2024" tabindex="-1">29th Feb, 2024 <a class="header-anchor" href="#29th-Feb,-2024" aria-label="Permalink to &quot;29th Feb, 2024 {#29th-Feb,-2024}&quot;">​</a></h2><h3 id="To-do" tabindex="-1">To do <a class="header-anchor" href="#To-do" aria-label="Permalink to &quot;To do {#To-do}&quot;">​</a></h3><ul><li><p>[ ] Finish clipping degeneracies</p></li><li><p>[ ] Fix cross &amp; overlap functions</p></li><li><p>[x] Benchmarks to show why things you couldn&#39;t concieve of in R are doable in Julia</p></li><li><p>[x] profile functions for exponential improvements</p></li><li><p>[ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it&#39;s an undergrad level project</p></li><li><p>[ ] Doc improvements</p><ul><li><p>more</p></li><li><p>benchmarks page</p></li></ul></li><li><p>Methods to validate and fix geometry</p><ul><li><p>[ ] Polygons and LinearRings:</p><ul><li><p>[ ] self-intersection</p></li><li><p>[ ] holes are actually within the polygon</p></li><li><p>[ ] Polygon exteriors must be counterclockwise, holes clockwise.</p></li><li><p>[ ] length of all rings &gt; 4</p></li><li><p>[ ] repeated last point</p></li></ul></li><li><p>[ ] LineStrings: NaN/Inf points</p></li><li><p>[x] Fix linear rings at some point to make sure the ring is closed, i.e., <code>points[end] == points[begin]</code></p></li><li></li><li></li></ul></li><li><p>Tests</p><ul><li><p>[x] Simplify functions</p></li><li><p>[x] Polygonize</p></li><li><p>Barycentric tests for <code>n_vertices &gt; 4</code></p></li></ul></li></ul><h3 id="done" tabindex="-1">Done <a class="header-anchor" href="#done" aria-label="Permalink to &quot;Done&quot;">​</a></h3><ul><li><p>Rename <code>bools.jl</code> to something more relevant to the actual code -&gt; <code>orientation.jl</code></p></li><li><p>Doc improvements:</p><ul><li>organise sections</li></ul></li></ul>',8)]))}const f=i(a,[["render",r]]);export{u as __pageData,f as default};
+import{_ as i,c as l,a5 as t,o}from"./chunks/framework.B_n_RGhH.js";const u=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"call_notes.md","filePath":"call_notes.md","lastUpdated":null}'),a={name:"call_notes.md"};function r(n,e,s,p,c,d){return o(),l("div",null,e[0]||(e[0]=[t('<h2 id="20th-April,-2024" tabindex="-1">20th April, 2024 <a class="header-anchor" href="#20th-April,-2024" aria-label="Permalink to &quot;20th April, 2024 {#20th-April,-2024}&quot;">​</a></h2><p>See <a href="https://github.com/JuliaGeo/GeometryOps.jl/issues/114" target="_blank" rel="noreferrer">GeometryOps#114</a>.</p><ul><li><p>[ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.</p></li><li><p>[ ] Add Shewchuck&#39;s adaptive math as a stage for exact predicates.</p><ul><li>[ ] We can add this by simply adding a function which creates and does the error check for MultiFloat numbers, in the vein of <a href="https://github.com/lairez/ExactPredicates.jl/blob/a9dce0334ee62104a14930fe206764bf802c23db/src/Codegen.jl#L468C1-L471C13" target="_blank" rel="noreferrer">the code to generate the main function of a predicate</a> from ExactPredicates.</li></ul></li><li><p>[x] @skygering to write docstrings for the predicates</p></li></ul><h2 id="29th-Feb,-2024" tabindex="-1">29th Feb, 2024 <a class="header-anchor" href="#29th-Feb,-2024" aria-label="Permalink to &quot;29th Feb, 2024 {#29th-Feb,-2024}&quot;">​</a></h2><h3 id="To-do" tabindex="-1">To do <a class="header-anchor" href="#To-do" aria-label="Permalink to &quot;To do {#To-do}&quot;">​</a></h3><ul><li><p>[ ] Finish clipping degeneracies</p></li><li><p>[ ] Fix cross &amp; overlap functions</p></li><li><p>[x] Benchmarks to show why things you couldn&#39;t concieve of in R are doable in Julia</p></li><li><p>[x] profile functions for exponential improvements</p></li><li><p>[ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it&#39;s an undergrad level project</p></li><li><p>[ ] Doc improvements</p><ul><li><p>more</p></li><li><p>benchmarks page</p></li></ul></li><li><p>Methods to validate and fix geometry</p><ul><li><p>[ ] Polygons and LinearRings:</p><ul><li><p>[ ] self-intersection</p></li><li><p>[ ] holes are actually within the polygon</p></li><li><p>[ ] Polygon exteriors must be counterclockwise, holes clockwise.</p></li><li><p>[ ] length of all rings &gt; 4</p></li><li><p>[ ] repeated last point</p></li></ul></li><li><p>[ ] LineStrings: NaN/Inf points</p></li><li><p>[x] Fix linear rings at some point to make sure the ring is closed, i.e., <code>points[end] == points[begin]</code></p></li><li></li><li></li></ul></li><li><p>Tests</p><ul><li><p>[x] Simplify functions</p></li><li><p>[x] Polygonize</p></li><li><p>Barycentric tests for <code>n_vertices &gt; 4</code></p></li></ul></li></ul><h3 id="done" tabindex="-1">Done <a class="header-anchor" href="#done" aria-label="Permalink to &quot;Done&quot;">​</a></h3><ul><li><p>Rename <code>bools.jl</code> to something more relevant to the actual code -&gt; <code>orientation.jl</code></p></li><li><p>Doc improvements:</p><ul><li>organise sections</li></ul></li></ul>',8)]))}const f=i(a,[["render",r]]);export{u as __pageData,f as default};
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new file mode 100644
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--- /dev/null
+++ b/dev/assets/chunks/framework.B_n_RGhH.js
@@ -0,0 +1,18 @@
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-* (c) 2018-present Yuxi (Evan) You and Vue contributors
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similarity index 99%
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index cac90337a..e1990339f 100644
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rename from dev/assets/iwkpryh.0OJvb21A.png
rename to dev/assets/dyradks.0OJvb21A.png
diff --git a/dev/assets/mvkdxvr._0R9BbFk.png b/dev/assets/emqcofm._0R9BbFk.png
similarity index 100%
rename from dev/assets/mvkdxvr._0R9BbFk.png
rename to dev/assets/emqcofm._0R9BbFk.png
diff --git a/dev/assets/experiments_accurate_accumulators.md.DuCPtDRZ.js b/dev/assets/experiments_accurate_accumulators.md.M4qZ7KkV.js
similarity index 98%
rename from dev/assets/experiments_accurate_accumulators.md.DuCPtDRZ.js
rename to dev/assets/experiments_accurate_accumulators.md.M4qZ7KkV.js
index 2e5eccaf9..3092c6786 100644
--- a/dev/assets/experiments_accurate_accumulators.md.DuCPtDRZ.js
+++ b/dev/assets/experiments_accurate_accumulators.md.M4qZ7KkV.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as t,o as e}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),n={name:"experiments/accurate_accumulators.md"};function l(h,s,p,k,d,r){return e(),a("div",null,s[0]||(s[0]=[t(`<h1 id="Accurate-accumulation" tabindex="-1">Accurate accumulation <a class="header-anchor" href="#Accurate-accumulation" aria-label="Permalink to &quot;Accurate accumulation {#Accurate-accumulation}&quot;">​</a></h1><p>Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.</p><p>We will use the accurate sum routines from <a href="https://github.com/JuliaMath/AccurateArithmetic.jl" target="_blank" rel="noreferrer">AccurateArithmetic.jl</a> to show the difference!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as i,c as a,a5 as t,o as e}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),n={name:"experiments/accurate_accumulators.md"};function l(h,s,p,k,d,r){return e(),a("div",null,s[0]||(s[0]=[t(`<h1 id="Accurate-accumulation" tabindex="-1">Accurate accumulation <a class="header-anchor" href="#Accurate-accumulation" aria-label="Permalink to &quot;Accurate accumulation {#Accurate-accumulation}&quot;">​</a></h1><p>Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.</p><p>We will use the accurate sum routines from <a href="https://github.com/JuliaMath/AccurateArithmetic.jl" target="_blank" rel="noreferrer">AccurateArithmetic.jl</a> to show the difference!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoJSON</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AccurateArithmetic</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> NaturalEarth</span></span>
diff --git a/dev/assets/experiments_accurate_accumulators.md.DuCPtDRZ.lean.js b/dev/assets/experiments_accurate_accumulators.md.M4qZ7KkV.lean.js
similarity index 98%
rename from dev/assets/experiments_accurate_accumulators.md.DuCPtDRZ.lean.js
rename to dev/assets/experiments_accurate_accumulators.md.M4qZ7KkV.lean.js
index 2e5eccaf9..3092c6786 100644
--- a/dev/assets/experiments_accurate_accumulators.md.DuCPtDRZ.lean.js
+++ b/dev/assets/experiments_accurate_accumulators.md.M4qZ7KkV.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as t,o as e}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),n={name:"experiments/accurate_accumulators.md"};function l(h,s,p,k,d,r){return e(),a("div",null,s[0]||(s[0]=[t(`<h1 id="Accurate-accumulation" tabindex="-1">Accurate accumulation <a class="header-anchor" href="#Accurate-accumulation" aria-label="Permalink to &quot;Accurate accumulation {#Accurate-accumulation}&quot;">​</a></h1><p>Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.</p><p>We will use the accurate sum routines from <a href="https://github.com/JuliaMath/AccurateArithmetic.jl" target="_blank" rel="noreferrer">AccurateArithmetic.jl</a> to show the difference!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as i,c as a,a5 as t,o as e}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),n={name:"experiments/accurate_accumulators.md"};function l(h,s,p,k,d,r){return e(),a("div",null,s[0]||(s[0]=[t(`<h1 id="Accurate-accumulation" tabindex="-1">Accurate accumulation <a class="header-anchor" href="#Accurate-accumulation" aria-label="Permalink to &quot;Accurate accumulation {#Accurate-accumulation}&quot;">​</a></h1><p>Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.</p><p>We will use the accurate sum routines from <a href="https://github.com/JuliaMath/AccurateArithmetic.jl" target="_blank" rel="noreferrer">AccurateArithmetic.jl</a> to show the difference!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoJSON</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> AccurateArithmetic</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> NaturalEarth</span></span>
diff --git a/dev/assets/experiments_predicates.md.KukwllNF.js b/dev/assets/experiments_predicates.md.C8AAp4W9.js
similarity index 99%
rename from dev/assets/experiments_predicates.md.KukwllNF.js
rename to dev/assets/experiments_predicates.md.C8AAp4W9.js
index 7af04154e..8c21abc22 100644
--- a/dev/assets/experiments_predicates.md.KukwllNF.js
+++ b/dev/assets/experiments_predicates.md.C8AAp4W9.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as h,o as k}from"./chunks/framework.O43fB7X6.js";const n="/GeometryOps.jl/dev/assets/dnourzx.C6X_Wm6e.png",y=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),p={name:"experiments/predicates.md"};function l(t,s,E,e,r,d){return k(),a("div",null,s[0]||(s[0]=[h(`<h1 id="predicates" tabindex="-1">Predicates <a class="header-anchor" href="#predicates" aria-label="Permalink to &quot;Predicates&quot;">​</a></h1><p>Exact vs fast predicates</p><h2 id="orient" tabindex="-1">Orient <a class="header-anchor" href="#orient" aria-label="Permalink to &quot;Orient&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
+import{_ as i,c as a,a5 as h,o as k}from"./chunks/framework.B_n_RGhH.js";const n="/GeometryOps.jl/dev/assets/yafbdbx.DgMj-nPU.png",y=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),p={name:"experiments/predicates.md"};function l(t,s,E,e,r,d){return k(),a("div",null,s[0]||(s[0]=[h(`<h1 id="predicates" tabindex="-1">Predicates <a class="header-anchor" href="#predicates" aria-label="Permalink to &quot;Predicates&quot;">​</a></h1><p>Exact vs fast predicates</p><h2 id="orient" tabindex="-1">Orient <a class="header-anchor" href="#orient" aria-label="Permalink to &quot;Orient&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ExactPredicates</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> MultiFloats</span></span>
diff --git a/dev/assets/experiments_predicates.md.KukwllNF.lean.js b/dev/assets/experiments_predicates.md.C8AAp4W9.lean.js
similarity index 99%
rename from dev/assets/experiments_predicates.md.KukwllNF.lean.js
rename to dev/assets/experiments_predicates.md.C8AAp4W9.lean.js
index 7af04154e..8c21abc22 100644
--- a/dev/assets/experiments_predicates.md.KukwllNF.lean.js
+++ b/dev/assets/experiments_predicates.md.C8AAp4W9.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as h,o as k}from"./chunks/framework.O43fB7X6.js";const n="/GeometryOps.jl/dev/assets/dnourzx.C6X_Wm6e.png",y=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),p={name:"experiments/predicates.md"};function l(t,s,E,e,r,d){return k(),a("div",null,s[0]||(s[0]=[h(`<h1 id="predicates" tabindex="-1">Predicates <a class="header-anchor" href="#predicates" aria-label="Permalink to &quot;Predicates&quot;">​</a></h1><p>Exact vs fast predicates</p><h2 id="orient" tabindex="-1">Orient <a class="header-anchor" href="#orient" aria-label="Permalink to &quot;Orient&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
+import{_ as i,c as a,a5 as h,o as k}from"./chunks/framework.B_n_RGhH.js";const n="/GeometryOps.jl/dev/assets/yafbdbx.DgMj-nPU.png",y=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),p={name:"experiments/predicates.md"};function l(t,s,E,e,r,d){return k(),a("div",null,s[0]||(s[0]=[h(`<h1 id="predicates" tabindex="-1">Predicates <a class="header-anchor" href="#predicates" aria-label="Permalink to &quot;Predicates&quot;">​</a></h1><p>Exact vs fast predicates</p><h2 id="orient" tabindex="-1">Orient <a class="header-anchor" href="#orient" aria-label="Permalink to &quot;Orient&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ExactPredicates</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> MultiFloats</span></span>
diff --git a/dev/assets/explanations_crs.md.C7m2R2Fj.js b/dev/assets/explanations_crs.md.hL3zygs6.js
similarity index 83%
rename from dev/assets/explanations_crs.md.C7m2R2Fj.js
rename to dev/assets/explanations_crs.md.hL3zygs6.js
index 258d2d070..92536b013 100644
--- a/dev/assets/explanations_crs.md.C7m2R2Fj.js
+++ b/dev/assets/explanations_crs.md.hL3zygs6.js
@@ -1 +1 @@
-import{_ as e,c as t,o as a}from"./chunks/framework.O43fB7X6.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
+import{_ as e,c as t,o as a}from"./chunks/framework.B_n_RGhH.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
diff --git a/dev/assets/explanations_crs.md.C7m2R2Fj.lean.js b/dev/assets/explanations_crs.md.hL3zygs6.lean.js
similarity index 83%
rename from dev/assets/explanations_crs.md.C7m2R2Fj.lean.js
rename to dev/assets/explanations_crs.md.hL3zygs6.lean.js
index 258d2d070..92536b013 100644
--- a/dev/assets/explanations_crs.md.C7m2R2Fj.lean.js
+++ b/dev/assets/explanations_crs.md.hL3zygs6.lean.js
@@ -1 +1 @@
-import{_ as e,c as t,o as a}from"./chunks/framework.O43fB7X6.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
+import{_ as e,c as t,o as a}from"./chunks/framework.B_n_RGhH.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
diff --git a/dev/assets/explanations_paradigms.md.xd5T5AbR.js b/dev/assets/explanations_paradigms.md.5swduggE.js
similarity index 97%
rename from dev/assets/explanations_paradigms.md.xd5T5AbR.js
rename to dev/assets/explanations_paradigms.md.5swduggE.js
index 4163ac122..8ab99d2f8 100644
--- a/dev/assets/explanations_paradigms.md.xd5T5AbR.js
+++ b/dev/assets/explanations_paradigms.md.5swduggE.js
@@ -1 +1 @@
-import{_ as a,c as t,a5 as o,o as i}from"./chunks/framework.O43fB7X6.js";const u=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),r={name:"explanations/paradigms.md"};function s(n,e,d,p,c,l){return i(),t("div",null,e[0]||(e[0]=[o('<h1 id="paradigms" tabindex="-1">Paradigms <a class="header-anchor" href="#paradigms" aria-label="Permalink to &quot;Paradigms&quot;">​</a></h1><p>GeometryOps exposes functions like <code>apply</code> and <code>applyreduce</code>, as well as the <code>fix</code> and <code>prepare</code> APIs, that represent <em>paradigms</em> of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we&#39;ve built without needing to re-implement the wheel.</p><p>Below, we&#39;ll describe some of the foundational paradigms of GeometryOps, and why you should care!</p><h2 id="apply" tabindex="-1"><code>apply</code> <a class="header-anchor" href="#apply" aria-label="Permalink to &quot;`apply` {#apply}&quot;">​</a></h2><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, trait</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Trait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom)</span></span></code></pre></div><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a <code>trait</code> to it.</p><p><code>apply</code> will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which <code>GI.trait(geom) isa Trait</code>. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits <code>GI.PointTrait</code>, will cause an error.</p><p><code>apply</code> is unlike <code>map</code> in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call <code>GO.flatten(f, trait, geom)</code>, which will decompose each geometry to the given <code>trait</code> and apply <code>f</code> to it, returning the decomposition as a flattened vector.</p><h3 id="applyreduce" tabindex="-1"><code>applyreduce</code> <a class="header-anchor" href="#applyreduce" aria-label="Permalink to &quot;`applyreduce` {#applyreduce}&quot;">​</a></h3><p><code>applyreduce</code> is like the previous <code>map</code>-based approach that we mentioned, except that it <code>reduce</code>s the result of <code>f</code> by <code>op</code>. Note that <code>applyreduce</code> does not guarantee associativity, so it&#39;s best to have <code>typeof(init) == returntype(op)</code>.</p><h2 id="fix-and-prepare" tabindex="-1"><code>fix</code> and <code>prepare</code> <a class="header-anchor" href="#fix-and-prepare" aria-label="Permalink to &quot;`fix` and `prepare` {#fix-and-prepare}&quot;">​</a></h2><p>The <code>fix</code> and <code>prepare</code> paradigms are different from <code>apply</code>, though they are built on top of it. They involve the use of structs as &quot;actions&quot;, where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.</p><p>In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a <code>Prepared</code> geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)</p>',14)]))}const m=a(r,[["render",s]]);export{u as __pageData,m as default};
+import{_ as a,c as t,a5 as o,o as i}from"./chunks/framework.B_n_RGhH.js";const u=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),r={name:"explanations/paradigms.md"};function s(n,e,d,p,c,l){return i(),t("div",null,e[0]||(e[0]=[o('<h1 id="paradigms" tabindex="-1">Paradigms <a class="header-anchor" href="#paradigms" aria-label="Permalink to &quot;Paradigms&quot;">​</a></h1><p>GeometryOps exposes functions like <code>apply</code> and <code>applyreduce</code>, as well as the <code>fix</code> and <code>prepare</code> APIs, that represent <em>paradigms</em> of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we&#39;ve built without needing to re-implement the wheel.</p><p>Below, we&#39;ll describe some of the foundational paradigms of GeometryOps, and why you should care!</p><h2 id="apply" tabindex="-1"><code>apply</code> <a class="header-anchor" href="#apply" aria-label="Permalink to &quot;`apply` {#apply}&quot;">​</a></h2><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, trait</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Trait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom)</span></span></code></pre></div><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a <code>trait</code> to it.</p><p><code>apply</code> will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which <code>GI.trait(geom) isa Trait</code>. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits <code>GI.PointTrait</code>, will cause an error.</p><p><code>apply</code> is unlike <code>map</code> in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call <code>GO.flatten(f, trait, geom)</code>, which will decompose each geometry to the given <code>trait</code> and apply <code>f</code> to it, returning the decomposition as a flattened vector.</p><h3 id="applyreduce" tabindex="-1"><code>applyreduce</code> <a class="header-anchor" href="#applyreduce" aria-label="Permalink to &quot;`applyreduce` {#applyreduce}&quot;">​</a></h3><p><code>applyreduce</code> is like the previous <code>map</code>-based approach that we mentioned, except that it <code>reduce</code>s the result of <code>f</code> by <code>op</code>. Note that <code>applyreduce</code> does not guarantee associativity, so it&#39;s best to have <code>typeof(init) == returntype(op)</code>.</p><h2 id="fix-and-prepare" tabindex="-1"><code>fix</code> and <code>prepare</code> <a class="header-anchor" href="#fix-and-prepare" aria-label="Permalink to &quot;`fix` and `prepare` {#fix-and-prepare}&quot;">​</a></h2><p>The <code>fix</code> and <code>prepare</code> paradigms are different from <code>apply</code>, though they are built on top of it. They involve the use of structs as &quot;actions&quot;, where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.</p><p>In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a <code>Prepared</code> geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)</p>',14)]))}const m=a(r,[["render",s]]);export{u as __pageData,m as default};
diff --git a/dev/assets/explanations_paradigms.md.xd5T5AbR.lean.js b/dev/assets/explanations_paradigms.md.5swduggE.lean.js
similarity index 97%
rename from dev/assets/explanations_paradigms.md.xd5T5AbR.lean.js
rename to dev/assets/explanations_paradigms.md.5swduggE.lean.js
index 4163ac122..8ab99d2f8 100644
--- a/dev/assets/explanations_paradigms.md.xd5T5AbR.lean.js
+++ b/dev/assets/explanations_paradigms.md.5swduggE.lean.js
@@ -1 +1 @@
-import{_ as a,c as t,a5 as o,o as i}from"./chunks/framework.O43fB7X6.js";const u=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),r={name:"explanations/paradigms.md"};function s(n,e,d,p,c,l){return i(),t("div",null,e[0]||(e[0]=[o('<h1 id="paradigms" tabindex="-1">Paradigms <a class="header-anchor" href="#paradigms" aria-label="Permalink to &quot;Paradigms&quot;">​</a></h1><p>GeometryOps exposes functions like <code>apply</code> and <code>applyreduce</code>, as well as the <code>fix</code> and <code>prepare</code> APIs, that represent <em>paradigms</em> of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we&#39;ve built without needing to re-implement the wheel.</p><p>Below, we&#39;ll describe some of the foundational paradigms of GeometryOps, and why you should care!</p><h2 id="apply" tabindex="-1"><code>apply</code> <a class="header-anchor" href="#apply" aria-label="Permalink to &quot;`apply` {#apply}&quot;">​</a></h2><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, trait</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Trait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom)</span></span></code></pre></div><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a <code>trait</code> to it.</p><p><code>apply</code> will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which <code>GI.trait(geom) isa Trait</code>. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits <code>GI.PointTrait</code>, will cause an error.</p><p><code>apply</code> is unlike <code>map</code> in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call <code>GO.flatten(f, trait, geom)</code>, which will decompose each geometry to the given <code>trait</code> and apply <code>f</code> to it, returning the decomposition as a flattened vector.</p><h3 id="applyreduce" tabindex="-1"><code>applyreduce</code> <a class="header-anchor" href="#applyreduce" aria-label="Permalink to &quot;`applyreduce` {#applyreduce}&quot;">​</a></h3><p><code>applyreduce</code> is like the previous <code>map</code>-based approach that we mentioned, except that it <code>reduce</code>s the result of <code>f</code> by <code>op</code>. Note that <code>applyreduce</code> does not guarantee associativity, so it&#39;s best to have <code>typeof(init) == returntype(op)</code>.</p><h2 id="fix-and-prepare" tabindex="-1"><code>fix</code> and <code>prepare</code> <a class="header-anchor" href="#fix-and-prepare" aria-label="Permalink to &quot;`fix` and `prepare` {#fix-and-prepare}&quot;">​</a></h2><p>The <code>fix</code> and <code>prepare</code> paradigms are different from <code>apply</code>, though they are built on top of it. They involve the use of structs as &quot;actions&quot;, where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.</p><p>In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a <code>Prepared</code> geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)</p>',14)]))}const m=a(r,[["render",s]]);export{u as __pageData,m as default};
+import{_ as a,c as t,a5 as o,o as i}from"./chunks/framework.B_n_RGhH.js";const u=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),r={name:"explanations/paradigms.md"};function s(n,e,d,p,c,l){return i(),t("div",null,e[0]||(e[0]=[o('<h1 id="paradigms" tabindex="-1">Paradigms <a class="header-anchor" href="#paradigms" aria-label="Permalink to &quot;Paradigms&quot;">​</a></h1><p>GeometryOps exposes functions like <code>apply</code> and <code>applyreduce</code>, as well as the <code>fix</code> and <code>prepare</code> APIs, that represent <em>paradigms</em> of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we&#39;ve built without needing to re-implement the wheel.</p><p>Below, we&#39;ll describe some of the foundational paradigms of GeometryOps, and why you should care!</p><h2 id="apply" tabindex="-1"><code>apply</code> <a class="header-anchor" href="#apply" aria-label="Permalink to &quot;`apply` {#apply}&quot;">​</a></h2><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, trait</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Trait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom)</span></span></code></pre></div><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a <code>trait</code> to it.</p><p><code>apply</code> will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which <code>GI.trait(geom) isa Trait</code>. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits <code>GI.PointTrait</code>, will cause an error.</p><p><code>apply</code> is unlike <code>map</code> in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call <code>GO.flatten(f, trait, geom)</code>, which will decompose each geometry to the given <code>trait</code> and apply <code>f</code> to it, returning the decomposition as a flattened vector.</p><h3 id="applyreduce" tabindex="-1"><code>applyreduce</code> <a class="header-anchor" href="#applyreduce" aria-label="Permalink to &quot;`applyreduce` {#applyreduce}&quot;">​</a></h3><p><code>applyreduce</code> is like the previous <code>map</code>-based approach that we mentioned, except that it <code>reduce</code>s the result of <code>f</code> by <code>op</code>. Note that <code>applyreduce</code> does not guarantee associativity, so it&#39;s best to have <code>typeof(init) == returntype(op)</code>.</p><h2 id="fix-and-prepare" tabindex="-1"><code>fix</code> and <code>prepare</code> <a class="header-anchor" href="#fix-and-prepare" aria-label="Permalink to &quot;`fix` and `prepare` {#fix-and-prepare}&quot;">​</a></h2><p>The <code>fix</code> and <code>prepare</code> paradigms are different from <code>apply</code>, though they are built on top of it. They involve the use of structs as &quot;actions&quot;, where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.</p><p>In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a <code>Prepared</code> geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)</p>',14)]))}const m=a(r,[["render",s]]);export{u as __pageData,m as default};
diff --git a/dev/assets/explanations_peculiarities.md.C5TjJTeI.js b/dev/assets/explanations_peculiarities.md.X2E97mNU.js
similarity index 96%
rename from dev/assets/explanations_peculiarities.md.C5TjJTeI.js
rename to dev/assets/explanations_peculiarities.md.X2E97mNU.js
index fc45be13d..448153f74 100644
--- a/dev/assets/explanations_peculiarities.md.C5TjJTeI.js
+++ b/dev/assets/explanations_peculiarities.md.X2E97mNU.js
@@ -1 +1 @@
-import{_ as o,c as t,a5 as a,o as r}from"./chunks/framework.O43fB7X6.js";const u=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),n={name:"explanations/peculiarities.md"};function i(s,e,l,d,c,p){return r(),t("div",null,e[0]||(e[0]=[a('<h1 id="peculiarities" tabindex="-1">Peculiarities <a class="header-anchor" href="#peculiarities" aria-label="Permalink to &quot;Peculiarities&quot;">​</a></h1><h2 id="What-does-apply-return-and-why?" tabindex="-1">What does <code>apply</code> return and why? <a class="header-anchor" href="#What-does-apply-return-and-why?" aria-label="Permalink to &quot;What does `apply` return and why? {#What-does-apply-return-and-why?}&quot;">​</a></h2><p><code>apply</code> returns the target geometries returned by <code>f</code>, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching <code>GeoInterface.trait</code> to the originals. All non-geointerface iterables become <code>Array</code>s. Tables.jl compatible tables are converted either back to the original type if a <code>Tables.materializer</code> is defined, and if not then returned as generic <code>NamedTuple</code> column tables (i.e., a NamedTuple of vectors).</p><p>It is recommended for consistency that <code>f</code> returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.</p><h2 id="Why-do-you-want-me-to-provide-a-target-in-set-operations?" tabindex="-1">Why do you want me to provide a <code>target</code> in set operations? <a class="header-anchor" href="#Why-do-you-want-me-to-provide-a-target-in-set-operations?" aria-label="Permalink to &quot;Why do you want me to provide a `target` in set operations? {#Why-do-you-want-me-to-provide-a-target-in-set-operations?}&quot;">​</a></h2><p>In polygon set operations like <code>intersection</code>, <code>difference</code>, and <code>union</code>, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.</p><p>We use the <code>target</code> keyword to allow the user to control which kinds of geometry they want back. For example, setting <code>target</code> to <code>PolygonTrait</code> will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement <code>MultiPolygonTrait</code> or <code>GeometryCollectionTrait</code> targets which will return a single geometry, as LibGEOS and ArchGDAL do.</p><p>This also allows for a lot more type stability - when you ask for polygons, we won&#39;t return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.</p><h2 id="_True-and-_False-(or-BoolsAsTypes)" tabindex="-1"><code>_True</code> and <code>_False</code> (or <code>BoolsAsTypes</code>) <a class="header-anchor" href="#_True-and-_False-(or-BoolsAsTypes)" aria-label="Permalink to &quot;`_True` and `_False` (or `BoolsAsTypes`) {#_True-and-_False-(or-BoolsAsTypes)}&quot;">​</a></h2><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>These are internals and explicitly <em>not</em> public API, meaning they may change at any time!</p></div><p>When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like <code>threaded</code> and <code>calc_extent</code> in <code>apply</code>, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about</p>',11)]))}const y=o(n,[["render",i]]);export{u as __pageData,y as default};
+import{_ as o,c as t,a5 as a,o as r}from"./chunks/framework.B_n_RGhH.js";const u=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),n={name:"explanations/peculiarities.md"};function i(s,e,l,d,c,p){return r(),t("div",null,e[0]||(e[0]=[a('<h1 id="peculiarities" tabindex="-1">Peculiarities <a class="header-anchor" href="#peculiarities" aria-label="Permalink to &quot;Peculiarities&quot;">​</a></h1><h2 id="What-does-apply-return-and-why?" tabindex="-1">What does <code>apply</code> return and why? <a class="header-anchor" href="#What-does-apply-return-and-why?" aria-label="Permalink to &quot;What does `apply` return and why? {#What-does-apply-return-and-why?}&quot;">​</a></h2><p><code>apply</code> returns the target geometries returned by <code>f</code>, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching <code>GeoInterface.trait</code> to the originals. All non-geointerface iterables become <code>Array</code>s. Tables.jl compatible tables are converted either back to the original type if a <code>Tables.materializer</code> is defined, and if not then returned as generic <code>NamedTuple</code> column tables (i.e., a NamedTuple of vectors).</p><p>It is recommended for consistency that <code>f</code> returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.</p><h2 id="Why-do-you-want-me-to-provide-a-target-in-set-operations?" tabindex="-1">Why do you want me to provide a <code>target</code> in set operations? <a class="header-anchor" href="#Why-do-you-want-me-to-provide-a-target-in-set-operations?" aria-label="Permalink to &quot;Why do you want me to provide a `target` in set operations? {#Why-do-you-want-me-to-provide-a-target-in-set-operations?}&quot;">​</a></h2><p>In polygon set operations like <code>intersection</code>, <code>difference</code>, and <code>union</code>, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.</p><p>We use the <code>target</code> keyword to allow the user to control which kinds of geometry they want back. For example, setting <code>target</code> to <code>PolygonTrait</code> will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement <code>MultiPolygonTrait</code> or <code>GeometryCollectionTrait</code> targets which will return a single geometry, as LibGEOS and ArchGDAL do.</p><p>This also allows for a lot more type stability - when you ask for polygons, we won&#39;t return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.</p><h2 id="_True-and-_False-(or-BoolsAsTypes)" tabindex="-1"><code>_True</code> and <code>_False</code> (or <code>BoolsAsTypes</code>) <a class="header-anchor" href="#_True-and-_False-(or-BoolsAsTypes)" aria-label="Permalink to &quot;`_True` and `_False` (or `BoolsAsTypes`) {#_True-and-_False-(or-BoolsAsTypes)}&quot;">​</a></h2><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>These are internals and explicitly <em>not</em> public API, meaning they may change at any time!</p></div><p>When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like <code>threaded</code> and <code>calc_extent</code> in <code>apply</code>, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about</p>',11)]))}const y=o(n,[["render",i]]);export{u as __pageData,y as default};
diff --git a/dev/assets/explanations_peculiarities.md.C5TjJTeI.lean.js b/dev/assets/explanations_peculiarities.md.X2E97mNU.lean.js
similarity index 96%
rename from dev/assets/explanations_peculiarities.md.C5TjJTeI.lean.js
rename to dev/assets/explanations_peculiarities.md.X2E97mNU.lean.js
index fc45be13d..448153f74 100644
--- a/dev/assets/explanations_peculiarities.md.C5TjJTeI.lean.js
+++ b/dev/assets/explanations_peculiarities.md.X2E97mNU.lean.js
@@ -1 +1 @@
-import{_ as o,c as t,a5 as a,o as r}from"./chunks/framework.O43fB7X6.js";const u=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),n={name:"explanations/peculiarities.md"};function i(s,e,l,d,c,p){return r(),t("div",null,e[0]||(e[0]=[a('<h1 id="peculiarities" tabindex="-1">Peculiarities <a class="header-anchor" href="#peculiarities" aria-label="Permalink to &quot;Peculiarities&quot;">​</a></h1><h2 id="What-does-apply-return-and-why?" tabindex="-1">What does <code>apply</code> return and why? <a class="header-anchor" href="#What-does-apply-return-and-why?" aria-label="Permalink to &quot;What does `apply` return and why? {#What-does-apply-return-and-why?}&quot;">​</a></h2><p><code>apply</code> returns the target geometries returned by <code>f</code>, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching <code>GeoInterface.trait</code> to the originals. All non-geointerface iterables become <code>Array</code>s. Tables.jl compatible tables are converted either back to the original type if a <code>Tables.materializer</code> is defined, and if not then returned as generic <code>NamedTuple</code> column tables (i.e., a NamedTuple of vectors).</p><p>It is recommended for consistency that <code>f</code> returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.</p><h2 id="Why-do-you-want-me-to-provide-a-target-in-set-operations?" tabindex="-1">Why do you want me to provide a <code>target</code> in set operations? <a class="header-anchor" href="#Why-do-you-want-me-to-provide-a-target-in-set-operations?" aria-label="Permalink to &quot;Why do you want me to provide a `target` in set operations? {#Why-do-you-want-me-to-provide-a-target-in-set-operations?}&quot;">​</a></h2><p>In polygon set operations like <code>intersection</code>, <code>difference</code>, and <code>union</code>, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.</p><p>We use the <code>target</code> keyword to allow the user to control which kinds of geometry they want back. For example, setting <code>target</code> to <code>PolygonTrait</code> will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement <code>MultiPolygonTrait</code> or <code>GeometryCollectionTrait</code> targets which will return a single geometry, as LibGEOS and ArchGDAL do.</p><p>This also allows for a lot more type stability - when you ask for polygons, we won&#39;t return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.</p><h2 id="_True-and-_False-(or-BoolsAsTypes)" tabindex="-1"><code>_True</code> and <code>_False</code> (or <code>BoolsAsTypes</code>) <a class="header-anchor" href="#_True-and-_False-(or-BoolsAsTypes)" aria-label="Permalink to &quot;`_True` and `_False` (or `BoolsAsTypes`) {#_True-and-_False-(or-BoolsAsTypes)}&quot;">​</a></h2><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>These are internals and explicitly <em>not</em> public API, meaning they may change at any time!</p></div><p>When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like <code>threaded</code> and <code>calc_extent</code> in <code>apply</code>, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about</p>',11)]))}const y=o(n,[["render",i]]);export{u as __pageData,y as default};
+import{_ as o,c as t,a5 as a,o as r}from"./chunks/framework.B_n_RGhH.js";const u=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),n={name:"explanations/peculiarities.md"};function i(s,e,l,d,c,p){return r(),t("div",null,e[0]||(e[0]=[a('<h1 id="peculiarities" tabindex="-1">Peculiarities <a class="header-anchor" href="#peculiarities" aria-label="Permalink to &quot;Peculiarities&quot;">​</a></h1><h2 id="What-does-apply-return-and-why?" tabindex="-1">What does <code>apply</code> return and why? <a class="header-anchor" href="#What-does-apply-return-and-why?" aria-label="Permalink to &quot;What does `apply` return and why? {#What-does-apply-return-and-why?}&quot;">​</a></h2><p><code>apply</code> returns the target geometries returned by <code>f</code>, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching <code>GeoInterface.trait</code> to the originals. All non-geointerface iterables become <code>Array</code>s. Tables.jl compatible tables are converted either back to the original type if a <code>Tables.materializer</code> is defined, and if not then returned as generic <code>NamedTuple</code> column tables (i.e., a NamedTuple of vectors).</p><p>It is recommended for consistency that <code>f</code> returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.</p><h2 id="Why-do-you-want-me-to-provide-a-target-in-set-operations?" tabindex="-1">Why do you want me to provide a <code>target</code> in set operations? <a class="header-anchor" href="#Why-do-you-want-me-to-provide-a-target-in-set-operations?" aria-label="Permalink to &quot;Why do you want me to provide a `target` in set operations? {#Why-do-you-want-me-to-provide-a-target-in-set-operations?}&quot;">​</a></h2><p>In polygon set operations like <code>intersection</code>, <code>difference</code>, and <code>union</code>, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.</p><p>We use the <code>target</code> keyword to allow the user to control which kinds of geometry they want back. For example, setting <code>target</code> to <code>PolygonTrait</code> will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement <code>MultiPolygonTrait</code> or <code>GeometryCollectionTrait</code> targets which will return a single geometry, as LibGEOS and ArchGDAL do.</p><p>This also allows for a lot more type stability - when you ask for polygons, we won&#39;t return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.</p><h2 id="_True-and-_False-(or-BoolsAsTypes)" tabindex="-1"><code>_True</code> and <code>_False</code> (or <code>BoolsAsTypes</code>) <a class="header-anchor" href="#_True-and-_False-(or-BoolsAsTypes)" aria-label="Permalink to &quot;`_True` and `_False` (or `BoolsAsTypes`) {#_True-and-_False-(or-BoolsAsTypes)}&quot;">​</a></h2><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>These are internals and explicitly <em>not</em> public API, meaning they may change at any time!</p></div><p>When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like <code>threaded</code> and <code>calc_extent</code> in <code>apply</code>, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about</p>',11)]))}const y=o(n,[["render",i]]);export{u as __pageData,y as default};
diff --git a/dev/assets/explanations_winding_order.md.CzxPIM1I.js b/dev/assets/explanations_winding_order.md.Dpaehb2f.js
similarity index 84%
rename from dev/assets/explanations_winding_order.md.CzxPIM1I.js
rename to dev/assets/explanations_winding_order.md.Dpaehb2f.js
index eeadcdf53..87c8c7a30 100644
--- a/dev/assets/explanations_winding_order.md.CzxPIM1I.js
+++ b/dev/assets/explanations_winding_order.md.Dpaehb2f.js
@@ -1 +1 @@
-import{_ as e,c as n,o as t}from"./chunks/framework.O43fB7X6.js";const l=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/winding_order.md","filePath":"explanations/winding_order.md","lastUpdated":null}'),a={name:"explanations/winding_order.md"};function r(o,i,d,s,c,p){return t(),n("div")}const m=e(a,[["render",r]]);export{l as __pageData,m as default};
+import{_ as e,c as n,o as t}from"./chunks/framework.B_n_RGhH.js";const l=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/winding_order.md","filePath":"explanations/winding_order.md","lastUpdated":null}'),a={name:"explanations/winding_order.md"};function r(o,i,d,s,c,p){return t(),n("div")}const m=e(a,[["render",r]]);export{l as __pageData,m as default};
diff --git a/dev/assets/explanations_winding_order.md.CzxPIM1I.lean.js b/dev/assets/explanations_winding_order.md.Dpaehb2f.lean.js
similarity index 84%
rename from dev/assets/explanations_winding_order.md.CzxPIM1I.lean.js
rename to dev/assets/explanations_winding_order.md.Dpaehb2f.lean.js
index eeadcdf53..87c8c7a30 100644
--- a/dev/assets/explanations_winding_order.md.CzxPIM1I.lean.js
+++ b/dev/assets/explanations_winding_order.md.Dpaehb2f.lean.js
@@ -1 +1 @@
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similarity index 100%
rename from dev/assets/klmxpbf.DiwGEg2f.png
rename to dev/assets/glhbvoz.DiwGEg2f.png
diff --git a/dev/assets/bndakij.DaovVbE6.png b/dev/assets/gvlnqpi.DaovVbE6.png
similarity index 100%
rename from dev/assets/bndakij.DaovVbE6.png
rename to dev/assets/gvlnqpi.DaovVbE6.png
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similarity index 96%
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+import{_ as t,c as a,a5 as o,o as i}from"./chunks/framework.B_n_RGhH.js";const m=JSON.parse('{"title":"What is GeometryOps.jl?","description":"","frontmatter":{"layout":"home","hero":{"name":"GeometryOps.jl","text":"","tagline":"Blazing fast geometry operations in pure Julia","image":{"src":"/logo.png","alt":"GeometryOps"},"actions":[{"theme":"brand","text":"Introduction","link":"/introduction"},{"theme":"alt","text":"View on Github","link":"https://github.com/JuliaGeo/GeometryOps.jl"},{"theme":"alt","text":"API Reference","link":"/api"}]},"features":[{"icon":"<img width=\\"64\\" height=\\"64\\" src=\\"https://rawcdn.githack.com/JuliaLang/julia-logo-graphics/f3a09eb033b653970c5b8412e7755e3c7d78db9e/images/juliadots.iconset/icon_512x512.png\\" alt=\\"Julia code\\"/>","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"<img width=\\"64\\" height=\\"64\\" src=\\"https://fredrikekre.github.io/Literate.jl/v2/assets/logo.png\\" />","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"<img width=\\"64\\" height=\\"64\\" src=\\"https://rawcdn.githack.com/JuliaGeo/juliageo.github.io/4788480c2a5f7ae36df67a4b142e3a963024ac91/img/juliageo.svg\\" />","title":"Full integration with GeoInterface","details":"Use any GeoInterface.jl-compatible geometry","link":"https://juliageo.org/GeoInterface.jl/stable"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":null}'),n={name:"index.md"};function s(r,e,l,c,d,h){return i(),a("div",null,e[0]||(e[0]=[o('<p style="margin-bottom:2cm;"></p><div class="vp-doc" style="width:80%;margin:auto;"><h1 id="what-is-geometryops-jl" tabindex="-1">What is GeometryOps.jl? <a class="header-anchor" href="#what-is-geometryops-jl" aria-label="Permalink to &quot;What is GeometryOps.jl?&quot;">​</a></h1><p>GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.</p><p>The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them <a href="https://github.com/JuliaGeo/GeoInterface.jl" target="_blank" rel="noreferrer">GeoInterface.jl</a>-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.</p><p>Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.</p><p>We welcome contributions, either as pull requests or discussion on issues!</p><h1 id="how-to-navigate-the-docs" tabindex="-1">How to navigate the docs <a class="header-anchor" href="#how-to-navigate-the-docs" aria-label="Permalink to &quot;How to navigate the docs&quot;">​</a></h1><p>GeometryOps&#39; <a href="https://juliageo.org/GeometryOps.jl/stable" target="_blank" rel="noreferrer">docs</a> are divided into three main sections: tutorials, explanations and source code.<br> Documentation and examples for many functions can be found in the source code section, since we use literate programming in GeometryOps.</p><ul><li>Tutorials are meant to teach the fundamental concepts behind GeometryOps, and how to perform certain operations.</li><li>Explanations usually contain little code, and explain in more detail how GeometryOps works.</li><li>Source code usually contains explanations and examples at the top of the page, followed by annotated source code from that file.</li></ul></div>',2)]))}const u=t(n,[["render",s]]);export{m as __pageData,u as default};
diff --git a/dev/assets/introduction.md.CwyrQfOw.js b/dev/assets/introduction.md.CvSgtF5Z.js
similarity index 95%
rename from dev/assets/introduction.md.CwyrQfOw.js
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index 9f3d8672f..0cb3cd9ba 100644
--- a/dev/assets/introduction.md.CwyrQfOw.js
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-import{_ as a,c as t,a5 as o,o as i}from"./chunks/framework.O43fB7X6.js";const m=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),r={name:"introduction.md"};function n(c,e,s,p,l,d){return i(),t("div",null,e[0]||(e[0]=[o('<h1 id="introduction" tabindex="-1">Introduction <a class="header-anchor" href="#introduction" aria-label="Permalink to &quot;Introduction&quot;">​</a></h1><p>GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.</p><p>The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them <a href="https://github.com/JuliaGeo/GeoInterface.jl" target="_blank" rel="noreferrer">GeoInterface.jl</a>-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.</p><p>Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.</p><p>We welcome contributions, either as pull requests or discussion on issues!</p><h2 id="Main-concepts" tabindex="-1">Main concepts <a class="header-anchor" href="#Main-concepts" aria-label="Permalink to &quot;Main concepts {#Main-concepts}&quot;">​</a></h2><h3 id="The-apply-paradigm" tabindex="-1">The <code>apply</code> paradigm <a class="header-anchor" href="#The-apply-paradigm" aria-label="Permalink to &quot;The `apply` paradigm {#The-apply-paradigm}&quot;">​</a></h3><div class="tip custom-block"><p class="custom-block-title">Note</p><p>See the <a href="./@ref Primitive-functions">Primitive Functions</a> page for more information on this.</p></div><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.</p><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries.</p><p><code>apply</code> and <code>applyreduce</code> take any geometry, vector of geometries, collection of geometries, or table (like <code>Shapefile.Table</code>, <code>DataFrame</code>, or <code>GeoTable</code>)!</p><h3 id="What&#39;s-this-GeoInterface.Wrapper-thing?" tabindex="-1">What&#39;s this <code>GeoInterface.Wrapper</code> thing? <a class="header-anchor" href="#What&#39;s-this-GeoInterface.Wrapper-thing?" aria-label="Permalink to &quot;What&amp;#39;s this `GeoInterface.Wrapper` thing? {#What&#39;s-this-GeoInterface.Wrapper-thing?}&quot;">​</a></h3><p>Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.</p>',13)]))}const u=a(r,[["render",n]]);export{m as __pageData,u as default};
+import{_ as a,c as t,a5 as o,o as i}from"./chunks/framework.B_n_RGhH.js";const m=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),r={name:"introduction.md"};function n(c,e,s,p,l,d){return i(),t("div",null,e[0]||(e[0]=[o('<h1 id="introduction" tabindex="-1">Introduction <a class="header-anchor" href="#introduction" aria-label="Permalink to &quot;Introduction&quot;">​</a></h1><p>GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.</p><p>The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them <a href="https://github.com/JuliaGeo/GeoInterface.jl" target="_blank" rel="noreferrer">GeoInterface.jl</a>-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.</p><p>Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.</p><p>We welcome contributions, either as pull requests or discussion on issues!</p><h2 id="Main-concepts" tabindex="-1">Main concepts <a class="header-anchor" href="#Main-concepts" aria-label="Permalink to &quot;Main concepts {#Main-concepts}&quot;">​</a></h2><h3 id="The-apply-paradigm" tabindex="-1">The <code>apply</code> paradigm <a class="header-anchor" href="#The-apply-paradigm" aria-label="Permalink to &quot;The `apply` paradigm {#The-apply-paradigm}&quot;">​</a></h3><div class="tip custom-block"><p class="custom-block-title">Note</p><p>See the <a href="./@ref Primitive-functions">Primitive Functions</a> page for more information on this.</p></div><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.</p><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries.</p><p><code>apply</code> and <code>applyreduce</code> take any geometry, vector of geometries, collection of geometries, or table (like <code>Shapefile.Table</code>, <code>DataFrame</code>, or <code>GeoTable</code>)!</p><h3 id="What&#39;s-this-GeoInterface.Wrapper-thing?" tabindex="-1">What&#39;s this <code>GeoInterface.Wrapper</code> thing? <a class="header-anchor" href="#What&#39;s-this-GeoInterface.Wrapper-thing?" aria-label="Permalink to &quot;What&amp;#39;s this `GeoInterface.Wrapper` thing? {#What&#39;s-this-GeoInterface.Wrapper-thing?}&quot;">​</a></h3><p>Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.</p>',13)]))}const u=a(r,[["render",n]]);export{m as __pageData,u as default};
diff --git a/dev/assets/introduction.md.CwyrQfOw.lean.js b/dev/assets/introduction.md.CvSgtF5Z.lean.js
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index 9f3d8672f..0cb3cd9ba 100644
--- a/dev/assets/introduction.md.CwyrQfOw.lean.js
+++ b/dev/assets/introduction.md.CvSgtF5Z.lean.js
@@ -1 +1 @@
-import{_ as a,c as t,a5 as o,o as i}from"./chunks/framework.O43fB7X6.js";const m=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),r={name:"introduction.md"};function n(c,e,s,p,l,d){return i(),t("div",null,e[0]||(e[0]=[o('<h1 id="introduction" tabindex="-1">Introduction <a class="header-anchor" href="#introduction" aria-label="Permalink to &quot;Introduction&quot;">​</a></h1><p>GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.</p><p>The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them <a href="https://github.com/JuliaGeo/GeoInterface.jl" target="_blank" rel="noreferrer">GeoInterface.jl</a>-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.</p><p>Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.</p><p>We welcome contributions, either as pull requests or discussion on issues!</p><h2 id="Main-concepts" tabindex="-1">Main concepts <a class="header-anchor" href="#Main-concepts" aria-label="Permalink to &quot;Main concepts {#Main-concepts}&quot;">​</a></h2><h3 id="The-apply-paradigm" tabindex="-1">The <code>apply</code> paradigm <a class="header-anchor" href="#The-apply-paradigm" aria-label="Permalink to &quot;The `apply` paradigm {#The-apply-paradigm}&quot;">​</a></h3><div class="tip custom-block"><p class="custom-block-title">Note</p><p>See the <a href="./@ref Primitive-functions">Primitive Functions</a> page for more information on this.</p></div><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.</p><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries.</p><p><code>apply</code> and <code>applyreduce</code> take any geometry, vector of geometries, collection of geometries, or table (like <code>Shapefile.Table</code>, <code>DataFrame</code>, or <code>GeoTable</code>)!</p><h3 id="What&#39;s-this-GeoInterface.Wrapper-thing?" tabindex="-1">What&#39;s this <code>GeoInterface.Wrapper</code> thing? <a class="header-anchor" href="#What&#39;s-this-GeoInterface.Wrapper-thing?" aria-label="Permalink to &quot;What&amp;#39;s this `GeoInterface.Wrapper` thing? {#What&#39;s-this-GeoInterface.Wrapper-thing?}&quot;">​</a></h3><p>Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.</p>',13)]))}const u=a(r,[["render",n]]);export{m as __pageData,u as default};
+import{_ as a,c as t,a5 as o,o as i}from"./chunks/framework.B_n_RGhH.js";const m=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),r={name:"introduction.md"};function n(c,e,s,p,l,d){return i(),t("div",null,e[0]||(e[0]=[o('<h1 id="introduction" tabindex="-1">Introduction <a class="header-anchor" href="#introduction" aria-label="Permalink to &quot;Introduction&quot;">​</a></h1><p>GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.</p><p>The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them <a href="https://github.com/JuliaGeo/GeoInterface.jl" target="_blank" rel="noreferrer">GeoInterface.jl</a>-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.</p><p>Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.</p><p>We welcome contributions, either as pull requests or discussion on issues!</p><h2 id="Main-concepts" tabindex="-1">Main concepts <a class="header-anchor" href="#Main-concepts" aria-label="Permalink to &quot;Main concepts {#Main-concepts}&quot;">​</a></h2><h3 id="The-apply-paradigm" tabindex="-1">The <code>apply</code> paradigm <a class="header-anchor" href="#The-apply-paradigm" aria-label="Permalink to &quot;The `apply` paradigm {#The-apply-paradigm}&quot;">​</a></h3><div class="tip custom-block"><p class="custom-block-title">Note</p><p>See the <a href="./@ref Primitive-functions">Primitive Functions</a> page for more information on this.</p></div><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.</p><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries.</p><p><code>apply</code> and <code>applyreduce</code> take any geometry, vector of geometries, collection of geometries, or table (like <code>Shapefile.Table</code>, <code>DataFrame</code>, or <code>GeoTable</code>)!</p><h3 id="What&#39;s-this-GeoInterface.Wrapper-thing?" tabindex="-1">What&#39;s this <code>GeoInterface.Wrapper</code> thing? <a class="header-anchor" href="#What&#39;s-this-GeoInterface.Wrapper-thing?" aria-label="Permalink to &quot;What&amp;#39;s this `GeoInterface.Wrapper` thing? {#What&#39;s-this-GeoInterface.Wrapper-thing?}&quot;">​</a></h3><p>Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.</p>',13)]))}const u=a(r,[["render",n]]);export{m as __pageData,u as default};
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diff --git a/dev/assets/source_GeometryOps.md.BWgA5IIo.js b/dev/assets/source_GeometryOps.md.c3RKO_GD.js
similarity index 99%
rename from dev/assets/source_GeometryOps.md.BWgA5IIo.js
rename to dev/assets/source_GeometryOps.md.c3RKO_GD.js
index c73695550..ba36ecafd 100644
--- a/dev/assets/source_GeometryOps.md.BWgA5IIo.js
+++ b/dev/assets/source_GeometryOps.md.c3RKO_GD.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),h={name:"source/GeometryOps.md"};function t(k,s,p,e,E,r){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="geometryops-jl" tabindex="-1">GeometryOps.jl <a class="header-anchor" href="#geometryops-jl" aria-label="Permalink to &quot;GeometryOps.jl&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),h={name:"source/GeometryOps.md"};function t(k,s,p,e,E,r){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="geometryops-jl" tabindex="-1">GeometryOps.jl <a class="header-anchor" href="#geometryops-jl" aria-label="Permalink to &quot;GeometryOps.jl&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">include</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;../GeometryOpsCore/src/GeometryOpsCore.jl&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">TODO</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">: replace this with \`using GeometryOpsCore\`</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> .</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GeometryOpsCore</span></span>
diff --git a/dev/assets/source_GeometryOps.md.BWgA5IIo.lean.js b/dev/assets/source_GeometryOps.md.c3RKO_GD.lean.js
similarity index 99%
rename from dev/assets/source_GeometryOps.md.BWgA5IIo.lean.js
rename to dev/assets/source_GeometryOps.md.c3RKO_GD.lean.js
index c73695550..ba36ecafd 100644
--- a/dev/assets/source_GeometryOps.md.BWgA5IIo.lean.js
+++ b/dev/assets/source_GeometryOps.md.c3RKO_GD.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),h={name:"source/GeometryOps.md"};function t(k,s,p,e,E,r){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="geometryops-jl" tabindex="-1">GeometryOps.jl <a class="header-anchor" href="#geometryops-jl" aria-label="Permalink to &quot;GeometryOps.jl&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),h={name:"source/GeometryOps.md"};function t(k,s,p,e,E,r){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="geometryops-jl" tabindex="-1">GeometryOps.jl <a class="header-anchor" href="#geometryops-jl" aria-label="Permalink to &quot;GeometryOps.jl&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">include</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;../GeometryOpsCore/src/GeometryOpsCore.jl&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">TODO</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">: replace this with \`using GeometryOpsCore\`</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> .</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GeometryOpsCore</span></span>
diff --git a/dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.D3ozcglS.js b/dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.HBhep5dV.js
similarity index 99%
rename from dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.D3ozcglS.js
rename to dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.HBhep5dV.js
index c4a2df00b..d701799da 100644
--- a/dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.D3ozcglS.js
+++ b/dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.HBhep5dV.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as h,o as n}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md","filePath":"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md","lastUpdated":null}'),t={name:"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md"};function k(e,s,p,l,r,E){return n(),a("div",null,s[0]||(s[0]=[h(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsFlexiJoinsExt</span></span>
+import{_ as i,c as a,a5 as h,o as n}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md","filePath":"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md","lastUpdated":null}'),t={name:"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md"};function k(e,s,p,l,r,E){return n(),a("div",null,s[0]||(s[0]=[h(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsFlexiJoinsExt</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> FlexiJoins</span></span>
diff --git a/dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.D3ozcglS.lean.js b/dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.HBhep5dV.lean.js
similarity index 99%
rename from dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.D3ozcglS.lean.js
rename to dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.HBhep5dV.lean.js
index c4a2df00b..d701799da 100644
--- a/dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.D3ozcglS.lean.js
+++ b/dev/assets/source_GeometryOpsFlexiJoinsExt_GeometryOpsFlexiJoinsExt.md.HBhep5dV.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as h,o as n}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md","filePath":"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md","lastUpdated":null}'),t={name:"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md"};function k(e,s,p,l,r,E){return n(),a("div",null,s[0]||(s[0]=[h(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsFlexiJoinsExt</span></span>
+import{_ as i,c as a,a5 as h,o as n}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md","filePath":"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md","lastUpdated":null}'),t={name:"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md"};function k(e,s,p,l,r,E){return n(),a("div",null,s[0]||(s[0]=[h(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsFlexiJoinsExt</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> FlexiJoins</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DPeG-P6A.js b/dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DXXByX-R.js
similarity index 98%
rename from dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DPeG-P6A.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DXXByX-R.js
index cbac8b837..32e8d76b3 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DPeG-P6A.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DXXByX-R.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const o=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md","filePath":"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md","lastUpdated":null}'),e={name:"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md"};function h(l,s,p,k,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsLibGEOSExt</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const o=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md","filePath":"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md","lastUpdated":null}'),e={name:"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md"};function h(l,s,p,k,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsLibGEOSExt</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DPeG-P6A.lean.js b/dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DXXByX-R.lean.js
similarity index 98%
rename from dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DPeG-P6A.lean.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DXXByX-R.lean.js
index cbac8b837..32e8d76b3 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DPeG-P6A.lean.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_GeometryOpsLibGEOSExt.md.DXXByX-R.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const o=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md","filePath":"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md","lastUpdated":null}'),e={name:"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md"};function h(l,s,p,k,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsLibGEOSExt</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const o=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md","filePath":"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md","lastUpdated":null}'),e={name:"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.md"};function h(l,s,p,k,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsLibGEOSExt</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.CbY5NGvL.js b/dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.Brzai-EG.js
similarity index 99%
rename from dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.CbY5NGvL.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.Brzai-EG.js
index ad60fcbb2..5e3c7a1ac 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.CbY5NGvL.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.Brzai-EG.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/buffer.md","filePath":"source/GeometryOpsLibGEOSExt/buffer.md","lastUpdated":null}'),k={name:"source/GeometryOpsLibGEOSExt/buffer.md"};function t(l,s,p,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _GEOS_CAPSTYLE_LOOKUP </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Dict{Symbol, LG.GEOSBufCapStyles}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/buffer.md","filePath":"source/GeometryOpsLibGEOSExt/buffer.md","lastUpdated":null}'),k={name:"source/GeometryOpsLibGEOSExt/buffer.md"};function t(l,s,p,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _GEOS_CAPSTYLE_LOOKUP </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Dict{Symbol, LG.GEOSBufCapStyles}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    :round</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GEOSBUF_CAP_ROUND,</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    :flat</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GEOSBUF_CAP_FLAT,</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    :square</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GEOSBUF_CAP_SQUARE,</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.CbY5NGvL.lean.js b/dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.Brzai-EG.lean.js
similarity index 99%
rename from dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.CbY5NGvL.lean.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.Brzai-EG.lean.js
index ad60fcbb2..5e3c7a1ac 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.CbY5NGvL.lean.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_buffer.md.Brzai-EG.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/buffer.md","filePath":"source/GeometryOpsLibGEOSExt/buffer.md","lastUpdated":null}'),k={name:"source/GeometryOpsLibGEOSExt/buffer.md"};function t(l,s,p,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _GEOS_CAPSTYLE_LOOKUP </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Dict{Symbol, LG.GEOSBufCapStyles}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/buffer.md","filePath":"source/GeometryOpsLibGEOSExt/buffer.md","lastUpdated":null}'),k={name:"source/GeometryOpsLibGEOSExt/buffer.md"};function t(l,s,p,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _GEOS_CAPSTYLE_LOOKUP </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Dict{Symbol, LG.GEOSBufCapStyles}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    :round</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GEOSBUF_CAP_ROUND,</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    :flat</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GEOSBUF_CAP_FLAT,</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    :square</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GEOSBUF_CAP_SQUARE,</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.Q_Gm5QTR.js b/dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.DaXDPzTK.js
similarity index 98%
rename from dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.Q_Gm5QTR.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.DaXDPzTK.js
index 4caa4f46e..79b4b18da 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.Q_Gm5QTR.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.DaXDPzTK.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/segmentize.md","filePath":"source/GeometryOpsLibGEOSExt/segmentize.md","lastUpdated":null}'),e={name:"source/GeometryOpsLibGEOSExt/segmentize.md"};function h(k,s,l,p,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="segmentize" tabindex="-1">Segmentize <a class="header-anchor" href="#segmentize" aria-label="Permalink to &quot;Segmentize&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> segmentize, apply</span></span></code></pre></div><p>This file implements the LibGEOS segmentization method for GeometryOps.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _segmentize_geos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LG.AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, max_distance)</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/segmentize.md","filePath":"source/GeometryOpsLibGEOSExt/segmentize.md","lastUpdated":null}'),e={name:"source/GeometryOpsLibGEOSExt/segmentize.md"};function h(k,s,l,p,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="segmentize" tabindex="-1">Segmentize <a class="header-anchor" href="#segmentize" aria-label="Permalink to &quot;Segmentize&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> segmentize, apply</span></span></code></pre></div><p>This file implements the LibGEOS segmentization method for GeometryOps.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _segmentize_geos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LG.AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, max_distance)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    context </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">get_context</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    result </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOSDensify_r</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(context, geom, max_distance)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> result </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> C_NULL</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.Q_Gm5QTR.lean.js b/dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.DaXDPzTK.lean.js
similarity index 98%
rename from dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.Q_Gm5QTR.lean.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.DaXDPzTK.lean.js
index 4caa4f46e..79b4b18da 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.Q_Gm5QTR.lean.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_segmentize.md.DaXDPzTK.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/segmentize.md","filePath":"source/GeometryOpsLibGEOSExt/segmentize.md","lastUpdated":null}'),e={name:"source/GeometryOpsLibGEOSExt/segmentize.md"};function h(k,s,l,p,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="segmentize" tabindex="-1">Segmentize <a class="header-anchor" href="#segmentize" aria-label="Permalink to &quot;Segmentize&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> segmentize, apply</span></span></code></pre></div><p>This file implements the LibGEOS segmentization method for GeometryOps.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _segmentize_geos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LG.AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, max_distance)</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/segmentize.md","filePath":"source/GeometryOpsLibGEOSExt/segmentize.md","lastUpdated":null}'),e={name:"source/GeometryOpsLibGEOSExt/segmentize.md"};function h(k,s,l,p,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="segmentize" tabindex="-1">Segmentize <a class="header-anchor" href="#segmentize" aria-label="Permalink to &quot;Segmentize&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> segmentize, apply</span></span></code></pre></div><p>This file implements the LibGEOS segmentization method for GeometryOps.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _segmentize_geos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LG.AbstractGeometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, max_distance)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    context </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">get_context</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    result </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOSDensify_r</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(context, geom, max_distance)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> result </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> C_NULL</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.BM03vzNZ.js b/dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.MFwVo7KW.js
similarity index 99%
rename from dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.BM03vzNZ.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.MFwVo7KW.js
index 9b59e6345..b579d34a1 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.BM03vzNZ.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.MFwVo7KW.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as h,o as n}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Simple overrides","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/simple_overrides.md","filePath":"source/GeometryOpsLibGEOSExt/simple_overrides.md","lastUpdated":null}'),t={name:"source/GeometryOpsLibGEOSExt/simple_overrides.md"};function k(l,s,e,p,r,d){return n(),a("div",null,s[0]||(s[0]=[h(`<h1 id="Simple-overrides" tabindex="-1">Simple overrides <a class="header-anchor" href="#Simple-overrides" aria-label="Permalink to &quot;Simple overrides {#Simple-overrides}&quot;">​</a></h1><p>This file contains simple overrides for GEOS, essentially only those functions which have direct counterparts in LG and only require conversion before calling.</p><h2 id="Polygon-set-operations" tabindex="-1">Polygon set operations <a class="header-anchor" href="#Polygon-set-operations" aria-label="Permalink to &quot;Polygon set operations {#Polygon-set-operations}&quot;">​</a></h2><h3 id="difference" tabindex="-1">Difference <a class="header-anchor" href="#difference" aria-label="Permalink to &quot;Difference&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">difference</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom_a, geom_b; target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">nothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, calc_extent </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
+import{_ as i,c as a,a5 as h,o as n}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Simple overrides","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/simple_overrides.md","filePath":"source/GeometryOpsLibGEOSExt/simple_overrides.md","lastUpdated":null}'),t={name:"source/GeometryOpsLibGEOSExt/simple_overrides.md"};function k(l,s,e,p,r,d){return n(),a("div",null,s[0]||(s[0]=[h(`<h1 id="Simple-overrides" tabindex="-1">Simple overrides <a class="header-anchor" href="#Simple-overrides" aria-label="Permalink to &quot;Simple overrides {#Simple-overrides}&quot;">​</a></h1><p>This file contains simple overrides for GEOS, essentially only those functions which have direct counterparts in LG and only require conversion before calling.</p><h2 id="Polygon-set-operations" tabindex="-1">Polygon set operations <a class="header-anchor" href="#Polygon-set-operations" aria-label="Permalink to &quot;Polygon set operations {#Polygon-set-operations}&quot;">​</a></h2><h3 id="difference" tabindex="-1">Difference <a class="header-anchor" href="#difference" aria-label="Permalink to &quot;Difference&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">difference</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom_a, geom_b; target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">nothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, calc_extent </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _wrap</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">difference</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG, geom_a), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG, geom_b)); crs </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">crs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom_a), calc_extent)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><h3 id="union" tabindex="-1">Union <a class="header-anchor" href="#union" aria-label="Permalink to &quot;Union&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">union</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom_a, geom_b; target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">nothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, calc_extent </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _wrap</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">union</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG, geom_a), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG, geom_b)); crs </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">crs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom_a), calc_extent)</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.BM03vzNZ.lean.js b/dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.MFwVo7KW.lean.js
similarity index 99%
rename from dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.BM03vzNZ.lean.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.MFwVo7KW.lean.js
index 9b59e6345..b579d34a1 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.BM03vzNZ.lean.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_simple_overrides.md.MFwVo7KW.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as h,o as n}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Simple overrides","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/simple_overrides.md","filePath":"source/GeometryOpsLibGEOSExt/simple_overrides.md","lastUpdated":null}'),t={name:"source/GeometryOpsLibGEOSExt/simple_overrides.md"};function k(l,s,e,p,r,d){return n(),a("div",null,s[0]||(s[0]=[h(`<h1 id="Simple-overrides" tabindex="-1">Simple overrides <a class="header-anchor" href="#Simple-overrides" aria-label="Permalink to &quot;Simple overrides {#Simple-overrides}&quot;">​</a></h1><p>This file contains simple overrides for GEOS, essentially only those functions which have direct counterparts in LG and only require conversion before calling.</p><h2 id="Polygon-set-operations" tabindex="-1">Polygon set operations <a class="header-anchor" href="#Polygon-set-operations" aria-label="Permalink to &quot;Polygon set operations {#Polygon-set-operations}&quot;">​</a></h2><h3 id="difference" tabindex="-1">Difference <a class="header-anchor" href="#difference" aria-label="Permalink to &quot;Difference&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">difference</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom_a, geom_b; target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">nothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, calc_extent </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
+import{_ as i,c as a,a5 as h,o as n}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Simple overrides","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/simple_overrides.md","filePath":"source/GeometryOpsLibGEOSExt/simple_overrides.md","lastUpdated":null}'),t={name:"source/GeometryOpsLibGEOSExt/simple_overrides.md"};function k(l,s,e,p,r,d){return n(),a("div",null,s[0]||(s[0]=[h(`<h1 id="Simple-overrides" tabindex="-1">Simple overrides <a class="header-anchor" href="#Simple-overrides" aria-label="Permalink to &quot;Simple overrides {#Simple-overrides}&quot;">​</a></h1><p>This file contains simple overrides for GEOS, essentially only those functions which have direct counterparts in LG and only require conversion before calling.</p><h2 id="Polygon-set-operations" tabindex="-1">Polygon set operations <a class="header-anchor" href="#Polygon-set-operations" aria-label="Permalink to &quot;Polygon set operations {#Polygon-set-operations}&quot;">​</a></h2><h3 id="difference" tabindex="-1">Difference <a class="header-anchor" href="#difference" aria-label="Permalink to &quot;Difference&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">difference</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom_a, geom_b; target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">nothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, calc_extent </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _wrap</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">difference</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG, geom_a), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG, geom_b)); crs </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">crs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom_a), calc_extent)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><h3 id="union" tabindex="-1">Union <a class="header-anchor" href="#union" aria-label="Permalink to &quot;Union&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">union</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom_a, geom_b; target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">nothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, calc_extent </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _wrap</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">union</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG, geom_a), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(LG, geom_b)); crs </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">crs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom_a), calc_extent)</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.Dkpr7UA7.js b/dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.BZkQX4Vm.js
similarity index 98%
rename from dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.Dkpr7UA7.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.BZkQX4Vm.js
index 42dedc26d..64eeca3c1 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.Dkpr7UA7.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.BZkQX4Vm.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/simplify.md","filePath":"source/GeometryOpsLibGEOSExt/simplify.md","lastUpdated":null}'),k={name:"source/GeometryOpsLibGEOSExt/simplify.md"};function l(t,s,p,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<p>Address potential ambiguities</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GO.GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> geom</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/simplify.md","filePath":"source/GeometryOpsLibGEOSExt/simplify.md","lastUpdated":null}'),k={name:"source/GeometryOpsLibGEOSExt/simplify.md"};function l(t,s,p,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<p>Address potential ambiguities</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GO.GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> geom</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.MultiPointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GO.GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> geom</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.AbstractGeometryTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, alg</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GO.GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom; kwargs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
diff --git a/dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.Dkpr7UA7.lean.js b/dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.BZkQX4Vm.lean.js
similarity index 98%
rename from dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.Dkpr7UA7.lean.js
rename to dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.BZkQX4Vm.lean.js
index 42dedc26d..64eeca3c1 100644
--- a/dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.Dkpr7UA7.lean.js
+++ b/dev/assets/source_GeometryOpsLibGEOSExt_simplify.md.BZkQX4Vm.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/simplify.md","filePath":"source/GeometryOpsLibGEOSExt/simplify.md","lastUpdated":null}'),k={name:"source/GeometryOpsLibGEOSExt/simplify.md"};function l(t,s,p,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<p>Address potential ambiguities</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GO.GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> geom</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsLibGEOSExt/simplify.md","filePath":"source/GeometryOpsLibGEOSExt/simplify.md","lastUpdated":null}'),k={name:"source/GeometryOpsLibGEOSExt/simplify.md"};function l(t,s,p,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<p>Address potential ambiguities</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GO.GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> geom</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.MultiPointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GO.GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> geom</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.AbstractGeometryTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, alg</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GO.GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom; kwargs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
diff --git a/dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Bior9t6L.js b/dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Dj40qLug.js
similarity index 93%
rename from dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Bior9t6L.js
rename to dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Dj40qLug.js
index 102813b33..b801b6b47 100644
--- a/dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Bior9t6L.js
+++ b/dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Dj40qLug.js
@@ -1,4 +1,4 @@
-import{_ as e,c as a,a5 as i,o as t}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/GeometryOpsProjExt.md","filePath":"source/GeometryOpsProjExt/GeometryOpsProjExt.md","lastUpdated":null}'),n={name:"source/GeometryOpsProjExt/GeometryOpsProjExt.md"};function p(l,s,r,o,h,k){return t(),a("div",null,s[0]||(s[0]=[i(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsProjExt</span></span>
+import{_ as e,c as a,a5 as i,o as t}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/GeometryOpsProjExt.md","filePath":"source/GeometryOpsProjExt/GeometryOpsProjExt.md","lastUpdated":null}'),n={name:"source/GeometryOpsProjExt/GeometryOpsProjExt.md"};function p(l,s,r,o,h,k){return t(),a("div",null,s[0]||(s[0]=[i(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsProjExt</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps, Proj</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Bior9t6L.lean.js b/dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Dj40qLug.lean.js
similarity index 93%
rename from dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Bior9t6L.lean.js
rename to dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Dj40qLug.lean.js
index 102813b33..b801b6b47 100644
--- a/dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Bior9t6L.lean.js
+++ b/dev/assets/source_GeometryOpsProjExt_GeometryOpsProjExt.md.Dj40qLug.lean.js
@@ -1,4 +1,4 @@
-import{_ as e,c as a,a5 as i,o as t}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/GeometryOpsProjExt.md","filePath":"source/GeometryOpsProjExt/GeometryOpsProjExt.md","lastUpdated":null}'),n={name:"source/GeometryOpsProjExt/GeometryOpsProjExt.md"};function p(l,s,r,o,h,k){return t(),a("div",null,s[0]||(s[0]=[i(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsProjExt</span></span>
+import{_ as e,c as a,a5 as i,o as t}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/GeometryOpsProjExt.md","filePath":"source/GeometryOpsProjExt/GeometryOpsProjExt.md","lastUpdated":null}'),n={name:"source/GeometryOpsProjExt/GeometryOpsProjExt.md"};function p(l,s,r,o,h,k){return t(),a("div",null,s[0]||(s[0]=[i(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsProjExt</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps, Proj</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_GeometryOpsProjExt_reproject.md.CiSVYFrY.js b/dev/assets/source_GeometryOpsProjExt_reproject.md.Bt073qSk.js
similarity index 99%
rename from dev/assets/source_GeometryOpsProjExt_reproject.md.CiSVYFrY.js
rename to dev/assets/source_GeometryOpsProjExt_reproject.md.Bt073qSk.js
index 0920125ef..454f4a0e5 100644
--- a/dev/assets/source_GeometryOpsProjExt_reproject.md.CiSVYFrY.js
+++ b/dev/assets/source_GeometryOpsProjExt_reproject.md.Bt073qSk.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/reproject.md","filePath":"source/GeometryOpsProjExt/reproject.md","lastUpdated":null}'),k={name:"source/GeometryOpsProjExt/reproject.md"};function t(p,s,l,e,r,E){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeoInterface, reproject, apply, transform, _is3d, _True, _False</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/reproject.md","filePath":"source/GeometryOpsProjExt/reproject.md","lastUpdated":null}'),k={name:"source/GeometryOpsProjExt/reproject.md"};function t(p,s,l,e,r,E){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeoInterface, reproject, apply, transform, _is3d, _True, _False</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Proj</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> reproject</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom;</span></span>
diff --git a/dev/assets/source_GeometryOpsProjExt_reproject.md.CiSVYFrY.lean.js b/dev/assets/source_GeometryOpsProjExt_reproject.md.Bt073qSk.lean.js
similarity index 99%
rename from dev/assets/source_GeometryOpsProjExt_reproject.md.CiSVYFrY.lean.js
rename to dev/assets/source_GeometryOpsProjExt_reproject.md.Bt073qSk.lean.js
index 0920125ef..454f4a0e5 100644
--- a/dev/assets/source_GeometryOpsProjExt_reproject.md.CiSVYFrY.lean.js
+++ b/dev/assets/source_GeometryOpsProjExt_reproject.md.Bt073qSk.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/reproject.md","filePath":"source/GeometryOpsProjExt/reproject.md","lastUpdated":null}'),k={name:"source/GeometryOpsProjExt/reproject.md"};function t(p,s,l,e,r,E){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeoInterface, reproject, apply, transform, _is3d, _True, _False</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/reproject.md","filePath":"source/GeometryOpsProjExt/reproject.md","lastUpdated":null}'),k={name:"source/GeometryOpsProjExt/reproject.md"};function t(p,s,l,e,r,E){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeoInterface, reproject, apply, transform, _is3d, _True, _False</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Proj</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> reproject</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom;</span></span>
diff --git a/dev/assets/source_GeometryOpsProjExt_segmentize.md.DGh0GBgT.js b/dev/assets/source_GeometryOpsProjExt_segmentize.md.CohFVrr_.js
similarity index 98%
rename from dev/assets/source_GeometryOpsProjExt_segmentize.md.DGh0GBgT.js
rename to dev/assets/source_GeometryOpsProjExt_segmentize.md.CohFVrr_.js
index 29b0d85b3..6fa3dcf4d 100644
--- a/dev/assets/source_GeometryOpsProjExt_segmentize.md.DGh0GBgT.js
+++ b/dev/assets/source_GeometryOpsProjExt_segmentize.md.CohFVrr_.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/segmentize.md","filePath":"source/GeometryOpsProjExt/segmentize.md","lastUpdated":null}'),t={name:"source/GeometryOpsProjExt/segmentize.md"};function h(k,s,l,p,d,r){return e(),a("div",null,s[0]||(s[0]=[n(`<p>This holds the <code>segmentize</code> geodesic functionality.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeodesicSegments, _fill_linear_kernel!</span></span>
+import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/segmentize.md","filePath":"source/GeometryOpsProjExt/segmentize.md","lastUpdated":null}'),t={name:"source/GeometryOpsProjExt/segmentize.md"};function h(k,s,l,p,d,r){return e(),a("div",null,s[0]||(s[0]=[n(`<p>This holds the <code>segmentize</code> geodesic functionality.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeodesicSegments, _fill_linear_kernel!</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Proj</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">GeodesicSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance, equatorial_radius</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6378137</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, flattening</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">298.257223563</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geodesic</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Proj.geod_geodesic</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Proj</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">geod_geodesic</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(equatorial_radius, flattening))</span></span>
diff --git a/dev/assets/source_GeometryOpsProjExt_segmentize.md.DGh0GBgT.lean.js b/dev/assets/source_GeometryOpsProjExt_segmentize.md.CohFVrr_.lean.js
similarity index 98%
rename from dev/assets/source_GeometryOpsProjExt_segmentize.md.DGh0GBgT.lean.js
rename to dev/assets/source_GeometryOpsProjExt_segmentize.md.CohFVrr_.lean.js
index 29b0d85b3..6fa3dcf4d 100644
--- a/dev/assets/source_GeometryOpsProjExt_segmentize.md.DGh0GBgT.lean.js
+++ b/dev/assets/source_GeometryOpsProjExt_segmentize.md.CohFVrr_.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/segmentize.md","filePath":"source/GeometryOpsProjExt/segmentize.md","lastUpdated":null}'),t={name:"source/GeometryOpsProjExt/segmentize.md"};function h(k,s,l,p,d,r){return e(),a("div",null,s[0]||(s[0]=[n(`<p>This holds the <code>segmentize</code> geodesic functionality.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeodesicSegments, _fill_linear_kernel!</span></span>
+import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOpsProjExt/segmentize.md","filePath":"source/GeometryOpsProjExt/segmentize.md","lastUpdated":null}'),t={name:"source/GeometryOpsProjExt/segmentize.md"};function h(k,s,l,p,d,r){return e(),a("div",null,s[0]||(s[0]=[n(`<p>This holds the <code>segmentize</code> geodesic functionality.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeodesicSegments, _fill_linear_kernel!</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Proj</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">GeodesicSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance, equatorial_radius</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6378137</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, flattening</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Real</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">298.257223563</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geodesic</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Proj.geod_geodesic</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Proj</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">geod_geodesic</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(equatorial_radius, flattening))</span></span>
diff --git a/dev/assets/source_methods_angles.md.CHjiX-2k.js b/dev/assets/source_methods_angles.md.DsOXdPpI.js
similarity index 99%
rename from dev/assets/source_methods_angles.md.CHjiX-2k.js
rename to dev/assets/source_methods_angles.md.DsOXdPpI.js
index 8b06afd8a..b2f852165 100644
--- a/dev/assets/source_methods_angles.md.CHjiX-2k.js
+++ b/dev/assets/source_methods_angles.md.DsOXdPpI.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const l="/GeometryOps.jl/dev/assets/jqhztwg.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="angles" tabindex="-1">Angles <a class="header-anchor" href="#angles" aria-label="Permalink to &quot;Angles&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> angles</span></span></code></pre></div><h2 id="What-is-angles?" tabindex="-1">What is angles? <a class="header-anchor" href="#What-is-angles?" aria-label="Permalink to &quot;What is angles? {#What-is-angles?}&quot;">​</a></h2><p>Angles are the angles formed by a given geometries line segments, if it has line segments.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/byztndv.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="angles" tabindex="-1">Angles <a class="header-anchor" href="#angles" aria-label="Permalink to &quot;Angles&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> angles</span></span></code></pre></div><h2 id="What-is-angles?" tabindex="-1">What is angles? <a class="header-anchor" href="#What-is-angles?" aria-label="Permalink to &quot;What is angles? {#What-is-angles?}&quot;">​</a></h2><p>Angles are the angles formed by a given geometries line segments, if it has line segments.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie, CairoMakie</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_methods_angles.md.CHjiX-2k.lean.js b/dev/assets/source_methods_angles.md.DsOXdPpI.lean.js
similarity index 99%
rename from dev/assets/source_methods_angles.md.CHjiX-2k.lean.js
rename to dev/assets/source_methods_angles.md.DsOXdPpI.lean.js
index 8b06afd8a..b2f852165 100644
--- a/dev/assets/source_methods_angles.md.CHjiX-2k.lean.js
+++ b/dev/assets/source_methods_angles.md.DsOXdPpI.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const l="/GeometryOps.jl/dev/assets/jqhztwg.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="angles" tabindex="-1">Angles <a class="header-anchor" href="#angles" aria-label="Permalink to &quot;Angles&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> angles</span></span></code></pre></div><h2 id="What-is-angles?" tabindex="-1">What is angles? <a class="header-anchor" href="#What-is-angles?" aria-label="Permalink to &quot;What is angles? {#What-is-angles?}&quot;">​</a></h2><p>Angles are the angles formed by a given geometries line segments, if it has line segments.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/byztndv.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="angles" tabindex="-1">Angles <a class="header-anchor" href="#angles" aria-label="Permalink to &quot;Angles&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> angles</span></span></code></pre></div><h2 id="What-is-angles?" tabindex="-1">What is angles? <a class="header-anchor" href="#What-is-angles?" aria-label="Permalink to &quot;What is angles? {#What-is-angles?}&quot;">​</a></h2><p>Angles are the angles formed by a given geometries line segments, if it has line segments.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie, CairoMakie</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_methods_area.md.C5hcUKTw.js b/dev/assets/source_methods_area.md.BjXXoCxC.js
similarity index 99%
rename from dev/assets/source_methods_area.md.C5hcUKTw.js
rename to dev/assets/source_methods_area.md.BjXXoCxC.js
index 34ff5dc77..ca1d5f5c9 100644
--- a/dev/assets/source_methods_area.md.C5hcUKTw.js
+++ b/dev/assets/source_methods_area.md.BjXXoCxC.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/jqhztwg.Dig-DWOQ.png",e="/GeometryOps.jl/dev/assets/glloswm.CULn5saZ.png",y=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Area-and-signed-area" tabindex="-1">Area and signed area <a class="header-anchor" href="#Area-and-signed-area" aria-label="Permalink to &quot;Area and signed area {#Area-and-signed-area}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> area, signed_area</span></span></code></pre></div><h2 id="What-is-area?-What-is-signed-area?" tabindex="-1">What is area? What is signed area? <a class="header-anchor" href="#What-is-area?-What-is-signed-area?" aria-label="Permalink to &quot;What is area? What is signed area? {#What-is-area?-What-is-signed-area?}&quot;">​</a></h2><p>Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/byztndv.Dig-DWOQ.png",e="/GeometryOps.jl/dev/assets/xdzgijh.CULn5saZ.png",o=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Area-and-signed-area" tabindex="-1">Area and signed area <a class="header-anchor" href="#Area-and-signed-area" aria-label="Permalink to &quot;Area and signed area {#Area-and-signed-area}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> area, signed_area</span></span></code></pre></div><h2 id="What-is-area?-What-is-signed-area?" tabindex="-1">What is area? What is signed area? <a class="header-anchor" href="#What-is-area?-What-is-signed-area?" aria-label="Permalink to &quot;What is area? What is signed area? {#What-is-area?-What-is-signed-area?}&quot;">​</a></h2><p>Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
@@ -84,4 +84,4 @@ import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span></code></pre></div><p>Complete the last edge. If the first and last where the same this will be zero</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> pfirst</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _area_component</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, p2)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> T</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>`,40)]))}const F=i(l,[["render",p]]);export{y as __pageData,F as default};
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>`,40)]))}const F=i(l,[["render",p]]);export{o as __pageData,F as default};
diff --git a/dev/assets/source_methods_area.md.C5hcUKTw.lean.js b/dev/assets/source_methods_area.md.BjXXoCxC.lean.js
similarity index 99%
rename from dev/assets/source_methods_area.md.C5hcUKTw.lean.js
rename to dev/assets/source_methods_area.md.BjXXoCxC.lean.js
index 34ff5dc77..ca1d5f5c9 100644
--- a/dev/assets/source_methods_area.md.C5hcUKTw.lean.js
+++ b/dev/assets/source_methods_area.md.BjXXoCxC.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/jqhztwg.Dig-DWOQ.png",e="/GeometryOps.jl/dev/assets/glloswm.CULn5saZ.png",y=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Area-and-signed-area" tabindex="-1">Area and signed area <a class="header-anchor" href="#Area-and-signed-area" aria-label="Permalink to &quot;Area and signed area {#Area-and-signed-area}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> area, signed_area</span></span></code></pre></div><h2 id="What-is-area?-What-is-signed-area?" tabindex="-1">What is area? What is signed area? <a class="header-anchor" href="#What-is-area?-What-is-signed-area?" aria-label="Permalink to &quot;What is area? What is signed area? {#What-is-area?-What-is-signed-area?}&quot;">​</a></h2><p>Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/byztndv.Dig-DWOQ.png",e="/GeometryOps.jl/dev/assets/xdzgijh.CULn5saZ.png",o=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Area-and-signed-area" tabindex="-1">Area and signed area <a class="header-anchor" href="#Area-and-signed-area" aria-label="Permalink to &quot;Area and signed area {#Area-and-signed-area}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> area, signed_area</span></span></code></pre></div><h2 id="What-is-area?-What-is-signed-area?" tabindex="-1">What is area? What is signed area? <a class="header-anchor" href="#What-is-area?-What-is-signed-area?" aria-label="Permalink to &quot;What is area? What is signed area? {#What-is-area?-What-is-signed-area?}&quot;">​</a></h2><p>Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
@@ -84,4 +84,4 @@ import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span></code></pre></div><p>Complete the last edge. If the first and last where the same this will be zero</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> pfirst</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _area_component</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, p2)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> T</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>`,40)]))}const F=i(l,[["render",p]]);export{y as __pageData,F as default};
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>`,40)]))}const F=i(l,[["render",p]]);export{o as __pageData,F as default};
diff --git a/dev/assets/source_methods_barycentric.md.DWoHpdkh.lean.js b/dev/assets/source_methods_barycentric.md.BTrbxQPB.js
similarity index 99%
rename from dev/assets/source_methods_barycentric.md.DWoHpdkh.lean.js
rename to dev/assets/source_methods_barycentric.md.BTrbxQPB.js
index fc87c5569..81cd43c20 100644
--- a/dev/assets/source_methods_barycentric.md.DWoHpdkh.lean.js
+++ b/dev/assets/source_methods_barycentric.md.BTrbxQPB.js
@@ -1,4 +1,4 @@
-import{_ as k,c as n,a5 as t,j as s,a,o as h}from"./chunks/framework.O43fB7X6.js";const l="/GeometryOps.jl/dev/assets/piizsjm.CZy9YIUA.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t(`<h1 id="Barycentric-coordinates" tabindex="-1">Barycentric coordinates <a class="header-anchor" href="#Barycentric-coordinates" aria-label="Permalink to &quot;Barycentric coordinates {#Barycentric-coordinates}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate</span></span>
+import{_ as k,c as n,a5 as t,j as s,a,o as h}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/quvcwbg.CZy9YIUA.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t(`<h1 id="Barycentric-coordinates" tabindex="-1">Barycentric coordinates <a class="header-anchor" href="#Barycentric-coordinates" aria-label="Permalink to &quot;Barycentric coordinates {#Barycentric-coordinates}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> MeanValue</span></span></code></pre></div><p>Generalized barycentric coordinates are a generalization of barycentric coordinates, which are typically used in triangles, to arbitrary polygons.</p><p>They provide a way to express a point within a polygon as a weighted average of the polygon&#39;s vertices.</p>`,4)),s("p",null,[i[2]||(i[2]=a("In the case of a triangle, barycentric coordinates are a set of three numbers ")),s("mjx-container",e,[(h(),n("svg",E,i[0]||(i[0]=[t('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 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0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1))]),i[13]||(i[13]=a(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates."))]),i[15]||(i[15]=t(`<p>As with the triangle case, the weights sum to 1, and each is non-negative.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>This example was taken from <a href="https://doc.cgal.org/latest/Barycentric_coordinates_2/index.html" target="_blank" rel="noreferrer">this page of CGAL&#39;s documentation</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GeometryBasics</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
diff --git a/dev/assets/source_methods_barycentric.md.DWoHpdkh.js b/dev/assets/source_methods_barycentric.md.BTrbxQPB.lean.js
similarity index 99%
rename from dev/assets/source_methods_barycentric.md.DWoHpdkh.js
rename to dev/assets/source_methods_barycentric.md.BTrbxQPB.lean.js
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+++ b/dev/assets/source_methods_barycentric.md.BTrbxQPB.lean.js
@@ -1,4 +1,4 @@
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+import{_ as k,c as n,a5 as t,j as s,a,o as h}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/quvcwbg.CZy9YIUA.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t(`<h1 id="Barycentric-coordinates" tabindex="-1">Barycentric coordinates <a class="header-anchor" href="#Barycentric-coordinates" aria-label="Permalink to &quot;Barycentric coordinates {#Barycentric-coordinates}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> MeanValue</span></span></code></pre></div><p>Generalized barycentric coordinates are a generalization of barycentric coordinates, which are typically used in triangles, to arbitrary polygons.</p><p>They provide a way to express a point within a polygon as a weighted average of the polygon&#39;s vertices.</p>`,4)),s("p",null,[i[2]||(i[2]=a("In the case of a triangle, barycentric coordinates are a set of three numbers ")),s("mjx-container",e,[(h(),n("svg",E,i[0]||(i[0]=[t('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 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0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1))]),i[13]||(i[13]=a(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates."))]),i[15]||(i[15]=t(`<p>As with the triangle case, the weights sum to 1, and each is non-negative.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>This example was taken from <a href="https://doc.cgal.org/latest/Barycentric_coordinates_2/index.html" target="_blank" rel="noreferrer">this page of CGAL&#39;s documentation</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GeometryBasics</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
diff --git a/dev/assets/source_methods_buffer.md.BlEAImCj.js b/dev/assets/source_methods_buffer.md.CrtOsAlT.js
similarity index 98%
rename from dev/assets/source_methods_buffer.md.BlEAImCj.js
rename to dev/assets/source_methods_buffer.md.CrtOsAlT.js
index bab36ef49..285946d58 100644
--- a/dev/assets/source_methods_buffer.md.BlEAImCj.js
+++ b/dev/assets/source_methods_buffer.md.CrtOsAlT.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),e={name:"source/methods/buffer.md"};function h(k,s,p,l,r,d){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="buffer" tabindex="-1">Buffer <a class="header-anchor" href="#buffer" aria-label="Permalink to &quot;Buffer&quot;">​</a></h1><p>Buffering a geometry means computing the region <code>distance</code> away from it, and returning that region as the new geometry.</p><p>As of now, we only support <code>GEOS</code> as the backend, meaning that LibGEOS must be loaded.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> buffer</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geometry, distance; kwargs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),e={name:"source/methods/buffer.md"};function h(k,s,p,l,r,d){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="buffer" tabindex="-1">Buffer <a class="header-anchor" href="#buffer" aria-label="Permalink to &quot;Buffer&quot;">​</a></h1><p>Buffering a geometry means computing the region <code>distance</code> away from it, and returning that region as the new geometry.</p><p>As of now, we only support <code>GEOS</code> as the backend, meaning that LibGEOS must be loaded.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> buffer</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geometry, distance; kwargs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    buffered </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> buffer</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; kwargs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), geometry, distance)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuples</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(buffered)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><p>Below is an error handler similar to the others we have for e.g. segmentize, which checks if there is a method error for the geos backend.</p><p>Add an error hint for <code>buffer</code> if LibGEOS is not loaded!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _buffer_error_hinter</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, exc, argtypes, kwargs)</span></span>
diff --git a/dev/assets/source_methods_buffer.md.BlEAImCj.lean.js b/dev/assets/source_methods_buffer.md.CrtOsAlT.lean.js
similarity index 98%
rename from dev/assets/source_methods_buffer.md.BlEAImCj.lean.js
rename to dev/assets/source_methods_buffer.md.CrtOsAlT.lean.js
index bab36ef49..285946d58 100644
--- a/dev/assets/source_methods_buffer.md.BlEAImCj.lean.js
+++ b/dev/assets/source_methods_buffer.md.CrtOsAlT.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),e={name:"source/methods/buffer.md"};function h(k,s,p,l,r,d){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="buffer" tabindex="-1">Buffer <a class="header-anchor" href="#buffer" aria-label="Permalink to &quot;Buffer&quot;">​</a></h1><p>Buffering a geometry means computing the region <code>distance</code> away from it, and returning that region as the new geometry.</p><p>As of now, we only support <code>GEOS</code> as the backend, meaning that LibGEOS must be loaded.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> buffer</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geometry, distance; kwargs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),e={name:"source/methods/buffer.md"};function h(k,s,p,l,r,d){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="buffer" tabindex="-1">Buffer <a class="header-anchor" href="#buffer" aria-label="Permalink to &quot;Buffer&quot;">​</a></h1><p>Buffering a geometry means computing the region <code>distance</code> away from it, and returning that region as the new geometry.</p><p>As of now, we only support <code>GEOS</code> as the backend, meaning that LibGEOS must be loaded.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> buffer</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geometry, distance; kwargs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    buffered </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> buffer</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GEOS</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; kwargs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), geometry, distance)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuples</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(buffered)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><p>Below is an error handler similar to the others we have for e.g. segmentize, which checks if there is a method error for the geos backend.</p><p>Add an error hint for <code>buffer</code> if LibGEOS is not loaded!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _buffer_error_hinter</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, exc, argtypes, kwargs)</span></span>
diff --git a/dev/assets/source_methods_centroid.md.tRC5gC2-.js b/dev/assets/source_methods_centroid.md.BULl7_Qs.js
similarity index 99%
rename from dev/assets/source_methods_centroid.md.tRC5gC2-.js
rename to dev/assets/source_methods_centroid.md.BULl7_Qs.js
index f3ceb7a3f..67ea665fe 100644
--- a/dev/assets/source_methods_centroid.md.tRC5gC2-.js
+++ b/dev/assets/source_methods_centroid.md.BULl7_Qs.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/kycmsab.BD0hVfse.png",k="/GeometryOps.jl/dev/assets/kztduvn.DHcwB147.png",o=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),l={name:"source/methods/centroid.md"};function p(e,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="centroid" tabindex="-1">Centroid <a class="header-anchor" href="#centroid" aria-label="Permalink to &quot;Centroid&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> centroid, centroid_and_length, centroid_and_area</span></span></code></pre></div><h2 id="What-is-the-centroid?" tabindex="-1">What is the centroid? <a class="header-anchor" href="#What-is-the-centroid?" aria-label="Permalink to &quot;What is the centroid? {#What-is-the-centroid?}&quot;">​</a></h2><p>The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.</p><p>Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge&#39;s by their &#39;area components&#39;.</p><p>To provide an example, consider this concave polygon in the shape of a &#39;C&#39;:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/bsfjfzw.BD0hVfse.png",k="/GeometryOps.jl/dev/assets/nmgrusc.DHcwB147.png",o=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),l={name:"source/methods/centroid.md"};function p(e,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="centroid" tabindex="-1">Centroid <a class="header-anchor" href="#centroid" aria-label="Permalink to &quot;Centroid&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> centroid, centroid_and_length, centroid_and_area</span></span></code></pre></div><h2 id="What-is-the-centroid?" tabindex="-1">What is the centroid? <a class="header-anchor" href="#What-is-the-centroid?" aria-label="Permalink to &quot;What is the centroid? {#What-is-the-centroid?}&quot;">​</a></h2><p>The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.</p><p>Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge&#39;s by their &#39;area components&#39;.</p><p>To provide an example, consider this concave polygon in the shape of a &#39;C&#39;:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_centroid.md.tRC5gC2-.lean.js b/dev/assets/source_methods_centroid.md.BULl7_Qs.lean.js
similarity index 99%
rename from dev/assets/source_methods_centroid.md.tRC5gC2-.lean.js
rename to dev/assets/source_methods_centroid.md.BULl7_Qs.lean.js
index f3ceb7a3f..67ea665fe 100644
--- a/dev/assets/source_methods_centroid.md.tRC5gC2-.lean.js
+++ b/dev/assets/source_methods_centroid.md.BULl7_Qs.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/kycmsab.BD0hVfse.png",k="/GeometryOps.jl/dev/assets/kztduvn.DHcwB147.png",o=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),l={name:"source/methods/centroid.md"};function p(e,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="centroid" tabindex="-1">Centroid <a class="header-anchor" href="#centroid" aria-label="Permalink to &quot;Centroid&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> centroid, centroid_and_length, centroid_and_area</span></span></code></pre></div><h2 id="What-is-the-centroid?" tabindex="-1">What is the centroid? <a class="header-anchor" href="#What-is-the-centroid?" aria-label="Permalink to &quot;What is the centroid? {#What-is-the-centroid?}&quot;">​</a></h2><p>The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.</p><p>Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge&#39;s by their &#39;area components&#39;.</p><p>To provide an example, consider this concave polygon in the shape of a &#39;C&#39;:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/bsfjfzw.BD0hVfse.png",k="/GeometryOps.jl/dev/assets/nmgrusc.DHcwB147.png",o=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),l={name:"source/methods/centroid.md"};function p(e,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="centroid" tabindex="-1">Centroid <a class="header-anchor" href="#centroid" aria-label="Permalink to &quot;Centroid&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> centroid, centroid_and_length, centroid_and_area</span></span></code></pre></div><h2 id="What-is-the-centroid?" tabindex="-1">What is the centroid? <a class="header-anchor" href="#What-is-the-centroid?" aria-label="Permalink to &quot;What is the centroid? {#What-is-the-centroid?}&quot;">​</a></h2><p>The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.</p><p>Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge&#39;s by their &#39;area components&#39;.</p><p>To provide an example, consider this concave polygon in the shape of a &#39;C&#39;:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_clipping_clipping_processor.md.Ce9f2Uiw.lean.js b/dev/assets/source_methods_clipping_clipping_processor.md.D4hdTK_U.js
similarity index 99%
rename from dev/assets/source_methods_clipping_clipping_processor.md.Ce9f2Uiw.lean.js
rename to dev/assets/source_methods_clipping_clipping_processor.md.D4hdTK_U.js
index 0b43d9e25..c0f05e5cb 100644
--- a/dev/assets/source_methods_clipping_clipping_processor.md.Ce9f2Uiw.lean.js
+++ b/dev/assets/source_methods_clipping_clipping_processor.md.D4hdTK_U.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),t={name:"source/methods/clipping/clipping_processor.md"};function p(l,s,k,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygon-clipping-helpers" tabindex="-1">Polygon clipping helpers <a class="header-anchor" href="#Polygon-clipping-helpers" aria-label="Permalink to &quot;Polygon clipping helpers {#Polygon-clipping-helpers}&quot;">​</a></h1><p>This file contains the shared helper functions for the polygon clipping functionalities.</p><p>This enum defines which side of an edge a point is on</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@enum</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> PointEdgeSide left</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> right</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> unknown</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span></span></code></pre></div><p>Constants assigned for readability</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> enter, exit </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">false</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),t={name:"source/methods/clipping/clipping_processor.md"};function p(l,s,k,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygon-clipping-helpers" tabindex="-1">Polygon clipping helpers <a class="header-anchor" href="#Polygon-clipping-helpers" aria-label="Permalink to &quot;Polygon clipping helpers {#Polygon-clipping-helpers}&quot;">​</a></h1><p>This file contains the shared helper functions for the polygon clipping functionalities.</p><p>This enum defines which side of an edge a point is on</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@enum</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> PointEdgeSide left</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> right</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> unknown</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span></span></code></pre></div><p>Constants assigned for readability</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> enter, exit </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">false</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> crossing, bouncing </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">false</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#= A point can either be the start or end of an overlapping chain of points between two</span></span>
diff --git a/dev/assets/source_methods_clipping_clipping_processor.md.Ce9f2Uiw.js b/dev/assets/source_methods_clipping_clipping_processor.md.D4hdTK_U.lean.js
similarity index 99%
rename from dev/assets/source_methods_clipping_clipping_processor.md.Ce9f2Uiw.js
rename to dev/assets/source_methods_clipping_clipping_processor.md.D4hdTK_U.lean.js
index 0b43d9e25..c0f05e5cb 100644
--- a/dev/assets/source_methods_clipping_clipping_processor.md.Ce9f2Uiw.js
+++ b/dev/assets/source_methods_clipping_clipping_processor.md.D4hdTK_U.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),t={name:"source/methods/clipping/clipping_processor.md"};function p(l,s,k,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygon-clipping-helpers" tabindex="-1">Polygon clipping helpers <a class="header-anchor" href="#Polygon-clipping-helpers" aria-label="Permalink to &quot;Polygon clipping helpers {#Polygon-clipping-helpers}&quot;">​</a></h1><p>This file contains the shared helper functions for the polygon clipping functionalities.</p><p>This enum defines which side of an edge a point is on</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@enum</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> PointEdgeSide left</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> right</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> unknown</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span></span></code></pre></div><p>Constants assigned for readability</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> enter, exit </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">false</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),t={name:"source/methods/clipping/clipping_processor.md"};function p(l,s,k,e,E,r){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygon-clipping-helpers" tabindex="-1">Polygon clipping helpers <a class="header-anchor" href="#Polygon-clipping-helpers" aria-label="Permalink to &quot;Polygon clipping helpers {#Polygon-clipping-helpers}&quot;">​</a></h1><p>This file contains the shared helper functions for the polygon clipping functionalities.</p><p>This enum defines which side of an edge a point is on</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@enum</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> PointEdgeSide left</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> right</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> unknown</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span></span></code></pre></div><p>Constants assigned for readability</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> enter, exit </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">false</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> crossing, bouncing </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">false</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#= A point can either be the start or end of an overlapping chain of points between two</span></span>
diff --git a/dev/assets/source_methods_clipping_coverage.md.DOZ0xpXd.js b/dev/assets/source_methods_clipping_coverage.md.C1wj_p67.js
similarity index 99%
rename from dev/assets/source_methods_clipping_coverage.md.DOZ0xpXd.js
rename to dev/assets/source_methods_clipping_coverage.md.C1wj_p67.js
index b2e6e9b61..c1e880d22 100644
--- a/dev/assets/source_methods_clipping_coverage.md.DOZ0xpXd.js
+++ b/dev/assets/source_methods_clipping_coverage.md.C1wj_p67.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const l="/GeometryOps.jl/dev/assets/lzjbven.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> coverage</span></span></code></pre></div><h2 id="What-is-coverage?" tabindex="-1">What is coverage? <a class="header-anchor" href="#What-is-coverage?" aria-label="Permalink to &quot;What is coverage? {#What-is-coverage?}&quot;">​</a></h2><p>Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordinates of that bounding box, or an Extent containing that information.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/jgamrhg.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> coverage</span></span></code></pre></div><h2 id="What-is-coverage?" tabindex="-1">What is coverage? <a class="header-anchor" href="#What-is-coverage?" aria-label="Permalink to &quot;What is coverage? {#What-is-coverage?}&quot;">​</a></h2><p>Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordinates of that bounding box, or an Extent containing that information.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_clipping_coverage.md.DOZ0xpXd.lean.js b/dev/assets/source_methods_clipping_coverage.md.C1wj_p67.lean.js
similarity index 99%
rename from dev/assets/source_methods_clipping_coverage.md.DOZ0xpXd.lean.js
rename to dev/assets/source_methods_clipping_coverage.md.C1wj_p67.lean.js
index b2e6e9b61..c1e880d22 100644
--- a/dev/assets/source_methods_clipping_coverage.md.DOZ0xpXd.lean.js
+++ b/dev/assets/source_methods_clipping_coverage.md.C1wj_p67.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const l="/GeometryOps.jl/dev/assets/lzjbven.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> coverage</span></span></code></pre></div><h2 id="What-is-coverage?" tabindex="-1">What is coverage? <a class="header-anchor" href="#What-is-coverage?" aria-label="Permalink to &quot;What is coverage? {#What-is-coverage?}&quot;">​</a></h2><p>Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordinates of that bounding box, or an Extent containing that information.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/jgamrhg.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> coverage</span></span></code></pre></div><h2 id="What-is-coverage?" tabindex="-1">What is coverage? <a class="header-anchor" href="#What-is-coverage?" aria-label="Permalink to &quot;What is coverage? {#What-is-coverage?}&quot;">​</a></h2><p>Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordinates of that bounding box, or an Extent containing that information.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_clipping_cut.md.mZmT7Z3Z.js b/dev/assets/source_methods_clipping_cut.md.bDSdCW_w.js
similarity index 99%
rename from dev/assets/source_methods_clipping_cut.md.mZmT7Z3Z.js
rename to dev/assets/source_methods_clipping_cut.md.bDSdCW_w.js
index 2f8a5cc1d..cfc5c6d6b 100644
--- a/dev/assets/source_methods_clipping_cut.md.mZmT7Z3Z.js
+++ b/dev/assets/source_methods_clipping_cut.md.bDSdCW_w.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/rvdgstm.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygon-cutting" tabindex="-1">Polygon cutting <a class="header-anchor" href="#Polygon-cutting" aria-label="Permalink to &quot;Polygon cutting {#Polygon-cutting}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> cut</span></span></code></pre></div><h2 id="What-is-cut?" tabindex="-1">What is cut? <a class="header-anchor" href="#What-is-cut?" aria-label="Permalink to &quot;What is cut? {#What-is-cut?}&quot;">​</a></h2><p>The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab&#39;s <a href="https://www.mathworks.com/matlabcentral/fileexchange/24449-cutpolygon" target="_blank" rel="noreferrer"><code>cutpolygon</code></a> function.</p><p>To provide an example, consider the following polygon and line:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/bhglzly.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygon-cutting" tabindex="-1">Polygon cutting <a class="header-anchor" href="#Polygon-cutting" aria-label="Permalink to &quot;Polygon cutting {#Polygon-cutting}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> cut</span></span></code></pre></div><h2 id="What-is-cut?" tabindex="-1">What is cut? <a class="header-anchor" href="#What-is-cut?" aria-label="Permalink to &quot;What is cut? {#What-is-cut?}&quot;">​</a></h2><p>The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab&#39;s <a href="https://www.mathworks.com/matlabcentral/fileexchange/24449-cutpolygon" target="_blank" rel="noreferrer"><code>cutpolygon</code></a> function.</p><p>To provide an example, consider the following polygon and line:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_methods_clipping_cut.md.mZmT7Z3Z.lean.js b/dev/assets/source_methods_clipping_cut.md.bDSdCW_w.lean.js
similarity index 99%
rename from dev/assets/source_methods_clipping_cut.md.mZmT7Z3Z.lean.js
rename to dev/assets/source_methods_clipping_cut.md.bDSdCW_w.lean.js
index 2f8a5cc1d..cfc5c6d6b 100644
--- a/dev/assets/source_methods_clipping_cut.md.mZmT7Z3Z.lean.js
+++ b/dev/assets/source_methods_clipping_cut.md.bDSdCW_w.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/rvdgstm.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygon-cutting" tabindex="-1">Polygon cutting <a class="header-anchor" href="#Polygon-cutting" aria-label="Permalink to &quot;Polygon cutting {#Polygon-cutting}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> cut</span></span></code></pre></div><h2 id="What-is-cut?" tabindex="-1">What is cut? <a class="header-anchor" href="#What-is-cut?" aria-label="Permalink to &quot;What is cut? {#What-is-cut?}&quot;">​</a></h2><p>The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab&#39;s <a href="https://www.mathworks.com/matlabcentral/fileexchange/24449-cutpolygon" target="_blank" rel="noreferrer"><code>cutpolygon</code></a> function.</p><p>To provide an example, consider the following polygon and line:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/bhglzly.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygon-cutting" tabindex="-1">Polygon cutting <a class="header-anchor" href="#Polygon-cutting" aria-label="Permalink to &quot;Polygon cutting {#Polygon-cutting}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> cut</span></span></code></pre></div><h2 id="What-is-cut?" tabindex="-1">What is cut? <a class="header-anchor" href="#What-is-cut?" aria-label="Permalink to &quot;What is cut? {#What-is-cut?}&quot;">​</a></h2><p>The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab&#39;s <a href="https://www.mathworks.com/matlabcentral/fileexchange/24449-cutpolygon" target="_blank" rel="noreferrer"><code>cutpolygon</code></a> function.</p><p>To provide an example, consider the following polygon and line:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_methods_clipping_difference.md.DH8fmajn.js b/dev/assets/source_methods_clipping_difference.md.BBSGhdHU.js
similarity index 99%
rename from dev/assets/source_methods_clipping_difference.md.DH8fmajn.js
rename to dev/assets/source_methods_clipping_difference.md.BBSGhdHU.js
index 8188535e3..26b8eb013 100644
--- a/dev/assets/source_methods_clipping_difference.md.DH8fmajn.js
+++ b/dev/assets/source_methods_clipping_difference.md.BBSGhdHU.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const y=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),p={name:"source/methods/clipping/difference.md"};function t(h,s,e,k,r,d){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Difference-Polygon-Clipping" tabindex="-1">Difference Polygon Clipping <a class="header-anchor" href="#Difference-Polygon-Clipping" aria-label="Permalink to &quot;Difference Polygon Clipping {#Difference-Polygon-Clipping}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> difference</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const y=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),p={name:"source/methods/clipping/difference.md"};function t(h,s,e,k,r,d){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Difference-Polygon-Clipping" tabindex="-1">Difference Polygon Clipping <a class="header-anchor" href="#Difference-Polygon-Clipping" aria-label="Permalink to &quot;Difference Polygon Clipping {#Difference-Polygon-Clipping}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> difference</span></span>
 <span class="line"></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
diff --git a/dev/assets/source_methods_clipping_difference.md.DH8fmajn.lean.js b/dev/assets/source_methods_clipping_difference.md.BBSGhdHU.lean.js
similarity index 99%
rename from dev/assets/source_methods_clipping_difference.md.DH8fmajn.lean.js
rename to dev/assets/source_methods_clipping_difference.md.BBSGhdHU.lean.js
index 8188535e3..26b8eb013 100644
--- a/dev/assets/source_methods_clipping_difference.md.DH8fmajn.lean.js
+++ b/dev/assets/source_methods_clipping_difference.md.BBSGhdHU.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const y=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),p={name:"source/methods/clipping/difference.md"};function t(h,s,e,k,r,d){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Difference-Polygon-Clipping" tabindex="-1">Difference Polygon Clipping <a class="header-anchor" href="#Difference-Polygon-Clipping" aria-label="Permalink to &quot;Difference Polygon Clipping {#Difference-Polygon-Clipping}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> difference</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const y=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),p={name:"source/methods/clipping/difference.md"};function t(h,s,e,k,r,d){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Difference-Polygon-Clipping" tabindex="-1">Difference Polygon Clipping <a class="header-anchor" href="#Difference-Polygon-Clipping" aria-label="Permalink to &quot;Difference Polygon Clipping {#Difference-Polygon-Clipping}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> difference</span></span>
 <span class="line"></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
diff --git a/dev/assets/source_methods_clipping_intersection.md.CTbTKq2Z.js b/dev/assets/source_methods_clipping_intersection.md.CTqsFPDc.js
similarity index 99%
rename from dev/assets/source_methods_clipping_intersection.md.CTbTKq2Z.js
rename to dev/assets/source_methods_clipping_intersection.md.CTqsFPDc.js
index 6f30917c7..cdca6a0f3 100644
--- a/dev/assets/source_methods_clipping_intersection.md.CTbTKq2Z.js
+++ b/dev/assets/source_methods_clipping_intersection.md.CTqsFPDc.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),h={name:"source/methods/clipping/intersection.md"};function l(p,s,k,e,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geometry-Intersection" tabindex="-1">Geometry Intersection <a class="header-anchor" href="#Geometry-Intersection" aria-label="Permalink to &quot;Geometry Intersection {#Geometry-Intersection}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> intersection, intersection_points</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),h={name:"source/methods/clipping/intersection.md"};function l(p,s,k,e,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geometry-Intersection" tabindex="-1">Geometry Intersection <a class="header-anchor" href="#Geometry-Intersection" aria-label="Permalink to &quot;Geometry Intersection {#Geometry-Intersection}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> intersection, intersection_points</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Enum LineOrientation</span></span>
diff --git a/dev/assets/source_methods_clipping_intersection.md.CTbTKq2Z.lean.js b/dev/assets/source_methods_clipping_intersection.md.CTqsFPDc.lean.js
similarity index 99%
rename from dev/assets/source_methods_clipping_intersection.md.CTbTKq2Z.lean.js
rename to dev/assets/source_methods_clipping_intersection.md.CTqsFPDc.lean.js
index 6f30917c7..cdca6a0f3 100644
--- a/dev/assets/source_methods_clipping_intersection.md.CTbTKq2Z.lean.js
+++ b/dev/assets/source_methods_clipping_intersection.md.CTqsFPDc.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),h={name:"source/methods/clipping/intersection.md"};function l(p,s,k,e,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geometry-Intersection" tabindex="-1">Geometry Intersection <a class="header-anchor" href="#Geometry-Intersection" aria-label="Permalink to &quot;Geometry Intersection {#Geometry-Intersection}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> intersection, intersection_points</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),h={name:"source/methods/clipping/intersection.md"};function l(p,s,k,e,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geometry-Intersection" tabindex="-1">Geometry Intersection <a class="header-anchor" href="#Geometry-Intersection" aria-label="Permalink to &quot;Geometry Intersection {#Geometry-Intersection}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> intersection, intersection_points</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Enum LineOrientation</span></span>
diff --git a/dev/assets/source_methods_clipping_predicates.md.DO1buU2r.js b/dev/assets/source_methods_clipping_predicates.md.BO8YbwMP.js
similarity index 99%
rename from dev/assets/source_methods_clipping_predicates.md.DO1buU2r.js
rename to dev/assets/source_methods_clipping_predicates.md.BO8YbwMP.js
index 7f716319d..d37656600 100644
--- a/dev/assets/source_methods_clipping_predicates.md.DO1buU2r.js
+++ b/dev/assets/source_methods_clipping_predicates.md.BO8YbwMP.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),h={name:"source/methods/clipping/predicates.md"};function e(p,s,l,k,r,d){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Predicates</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),h={name:"source/methods/clipping/predicates.md"};function e(p,s,l,k,r,d){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Predicates</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ExactPredicates, ExactPredicates</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Codegen</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ExactPredicates</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ext</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ExactPredicates</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Codegen</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> group!, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@genpredicate</span></span>
diff --git a/dev/assets/source_methods_clipping_predicates.md.DO1buU2r.lean.js b/dev/assets/source_methods_clipping_predicates.md.BO8YbwMP.lean.js
similarity index 99%
rename from dev/assets/source_methods_clipping_predicates.md.DO1buU2r.lean.js
rename to dev/assets/source_methods_clipping_predicates.md.BO8YbwMP.lean.js
index 7f716319d..d37656600 100644
--- a/dev/assets/source_methods_clipping_predicates.md.DO1buU2r.lean.js
+++ b/dev/assets/source_methods_clipping_predicates.md.BO8YbwMP.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),h={name:"source/methods/clipping/predicates.md"};function e(p,s,l,k,r,d){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Predicates</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),h={name:"source/methods/clipping/predicates.md"};function e(p,s,l,k,r,d){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Predicates</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ExactPredicates, ExactPredicates</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Codegen</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ExactPredicates</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ext</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ExactPredicates</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Codegen</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> group!, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@genpredicate</span></span>
diff --git a/dev/assets/source_methods_clipping_union.md.vI_3OIg3.js b/dev/assets/source_methods_clipping_union.md.C3409Ldy.js
similarity index 99%
rename from dev/assets/source_methods_clipping_union.md.vI_3OIg3.js
rename to dev/assets/source_methods_clipping_union.md.C3409Ldy.js
index 25deac5fe..32260df19 100644
--- a/dev/assets/source_methods_clipping_union.md.vI_3OIg3.js
+++ b/dev/assets/source_methods_clipping_union.md.C3409Ldy.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const y=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),h={name:"source/methods/clipping/union.md"};function p(t,s,k,e,r,E){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Union-Polygon-Clipping" tabindex="-1">Union Polygon Clipping <a class="header-anchor" href="#Union-Polygon-Clipping" aria-label="Permalink to &quot;Union Polygon Clipping {#Union-Polygon-Clipping}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> union</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const y=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),h={name:"source/methods/clipping/union.md"};function p(t,s,k,e,r,E){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Union-Polygon-Clipping" tabindex="-1">Union Polygon Clipping <a class="header-anchor" href="#Union-Polygon-Clipping" aria-label="Permalink to &quot;Union Polygon Clipping {#Union-Polygon-Clipping}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> union</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())</span></span>
diff --git a/dev/assets/source_methods_clipping_union.md.vI_3OIg3.lean.js b/dev/assets/source_methods_clipping_union.md.C3409Ldy.lean.js
similarity index 99%
rename from dev/assets/source_methods_clipping_union.md.vI_3OIg3.lean.js
rename to dev/assets/source_methods_clipping_union.md.C3409Ldy.lean.js
index 25deac5fe..32260df19 100644
--- a/dev/assets/source_methods_clipping_union.md.vI_3OIg3.lean.js
+++ b/dev/assets/source_methods_clipping_union.md.C3409Ldy.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const y=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),h={name:"source/methods/clipping/union.md"};function p(t,s,k,e,r,E){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Union-Polygon-Clipping" tabindex="-1">Union Polygon Clipping <a class="header-anchor" href="#Union-Polygon-Clipping" aria-label="Permalink to &quot;Union Polygon Clipping {#Union-Polygon-Clipping}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> union</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const y=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),h={name:"source/methods/clipping/union.md"};function p(t,s,k,e,r,E){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Union-Polygon-Clipping" tabindex="-1">Union Polygon Clipping <a class="header-anchor" href="#Union-Polygon-Clipping" aria-label="Permalink to &quot;Union Polygon Clipping {#Union-Polygon-Clipping}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> union</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())</span></span>
diff --git a/dev/assets/source_methods_convex_hull.md.CPYN7s27.js b/dev/assets/source_methods_convex_hull.md.rnPSMljy.js
similarity index 99%
rename from dev/assets/source_methods_convex_hull.md.CPYN7s27.js
rename to dev/assets/source_methods_convex_hull.md.rnPSMljy.js
index b0886f1d6..2e15d6e36 100644
--- a/dev/assets/source_methods_convex_hull.md.CPYN7s27.js
+++ b/dev/assets/source_methods_convex_hull.md.rnPSMljy.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const h="/GeometryOps.jl/dev/assets/uwwxcdv.CwTFuyyb.png",t="/GeometryOps.jl/dev/assets/cgxfzhy.mCtKcWOr.png",e="/GeometryOps.jl/dev/assets/jqaedzp.CvMMo01P.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Convex-hull" tabindex="-1">Convex hull <a class="header-anchor" href="#Convex-hull" aria-label="Permalink to &quot;Convex hull {#Convex-hull}&quot;">​</a></h1><p>The <a href="https://en.wikipedia.org/wiki/Convex_hull" target="_blank" rel="noreferrer"><em>convex hull</em></a> of a set of points is the smallest <a href="https://en.wikipedia.org/wiki/Convex_set" target="_blank" rel="noreferrer"><strong>convex</strong></a> polygon that contains all the points.</p><p>GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.</p><p>For now, we expose one algorithm, MonotoneChainMethod, which uses the <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer">DelaunayTriangulation.jl</a> package. The <code>GEOS()</code> interface also supports convex hulls.</p><p>Future work could include other algorithms, such as <a href="https://github.com/augustt198/Quickhull.jl" target="_blank" rel="noreferrer">Quickhull.jl</a>, or similar, via package extensions.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><h3 id="Simple-hull" tabindex="-1">Simple hull <a class="header-anchor" href="#Simple-hull" aria-label="Permalink to &quot;Simple hull {#Simple-hull}&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/hatdqxw.DQxLQp_L.png",h="/GeometryOps.jl/dev/assets/zuhrnvv.mCtKcWOr.png",e="/GeometryOps.jl/dev/assets/xqugbnz.C1TEVbYt.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Convex-hull" tabindex="-1">Convex hull <a class="header-anchor" href="#Convex-hull" aria-label="Permalink to &quot;Convex hull {#Convex-hull}&quot;">​</a></h1><p>The <a href="https://en.wikipedia.org/wiki/Convex_hull" target="_blank" rel="noreferrer"><em>convex hull</em></a> of a set of points is the smallest <a href="https://en.wikipedia.org/wiki/Convex_set" target="_blank" rel="noreferrer"><strong>convex</strong></a> polygon that contains all the points.</p><p>GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.</p><p>For now, we expose one algorithm, MonotoneChainMethod, which uses the <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer">DelaunayTriangulation.jl</a> package. The <code>GEOS()</code> interface also supports convex hulls.</p><p>Future work could include other algorithms, such as <a href="https://github.com/augustt198/Quickhull.jl" target="_blank" rel="noreferrer">Quickhull.jl</a>, or similar, via package extensions.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><h3 id="Simple-hull" tabindex="-1">Simple hull <a class="header-anchor" href="#Simple-hull" aria-label="Permalink to &quot;Simple hull {#Simple-hull}&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># to plot</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">points </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> randn</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Point2f, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">100</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
@@ -6,7 +6,7 @@ import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const h
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">hull_poly </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(points)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, hull_poly; label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Convex hull&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">wong_colors</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">axislegend</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="`+h+`" alt=""></p><h2 id="Convex-hull-of-the-USA" tabindex="-1">Convex hull of the USA <a class="header-anchor" href="#Convex-hull-of-the-USA" aria-label="Permalink to &quot;Convex hull of the USA {#Convex-hull-of-the-USA}&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="`+t+`" alt=""></p><h2 id="Convex-hull-of-the-USA" tabindex="-1">Convex hull of the USA <a class="header-anchor" href="#Convex-hull-of-the-USA" aria-label="Permalink to &quot;Convex hull of the USA {#Convex-hull-of-the-USA}&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># to plot</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> NaturalEarth </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># for data</span></span>
 <span class="line"></span>
@@ -14,7 +14,7 @@ import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const h
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">usa </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> all_adm0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geometry[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">findfirst</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;USA&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), all_adm0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ADM0_A3)]</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa); color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">wong_colors</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="`+t+`" alt=""></p><h2 id="Investigating-the-winding-order" tabindex="-1">Investigating the winding order <a class="header-anchor" href="#Investigating-the-winding-order" aria-label="Permalink to &quot;Investigating the winding order {#Investigating-the-winding-order}&quot;">​</a></h2><p>The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.</p><p>GeometryOps&#39; convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it&#39;s just that the winding order is different.</p><p>In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (<code>isconcave</code>)!</p><p>We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always <code>fix</code> it...</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="`+h+`" alt=""></p><h2 id="Investigating-the-winding-order" tabindex="-1">Investigating the winding order <a class="header-anchor" href="#Investigating-the-winding-order" aria-label="Permalink to &quot;Investigating the winding order {#Investigating-the-winding-order}&quot;">​</a></h2><p>The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.</p><p>GeometryOps&#39; convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it&#39;s just that the winding order is different.</p><p>In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (<code>isconcave</code>)!</p><p>We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always <code>fix</code> it...</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># to plot</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">points </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> rand</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Point2{Float64}, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">100</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
diff --git a/dev/assets/source_methods_convex_hull.md.CPYN7s27.lean.js b/dev/assets/source_methods_convex_hull.md.rnPSMljy.lean.js
similarity index 99%
rename from dev/assets/source_methods_convex_hull.md.CPYN7s27.lean.js
rename to dev/assets/source_methods_convex_hull.md.rnPSMljy.lean.js
index b0886f1d6..2e15d6e36 100644
--- a/dev/assets/source_methods_convex_hull.md.CPYN7s27.lean.js
+++ b/dev/assets/source_methods_convex_hull.md.rnPSMljy.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const h="/GeometryOps.jl/dev/assets/uwwxcdv.CwTFuyyb.png",t="/GeometryOps.jl/dev/assets/cgxfzhy.mCtKcWOr.png",e="/GeometryOps.jl/dev/assets/jqaedzp.CvMMo01P.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Convex-hull" tabindex="-1">Convex hull <a class="header-anchor" href="#Convex-hull" aria-label="Permalink to &quot;Convex hull {#Convex-hull}&quot;">​</a></h1><p>The <a href="https://en.wikipedia.org/wiki/Convex_hull" target="_blank" rel="noreferrer"><em>convex hull</em></a> of a set of points is the smallest <a href="https://en.wikipedia.org/wiki/Convex_set" target="_blank" rel="noreferrer"><strong>convex</strong></a> polygon that contains all the points.</p><p>GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.</p><p>For now, we expose one algorithm, MonotoneChainMethod, which uses the <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer">DelaunayTriangulation.jl</a> package. The <code>GEOS()</code> interface also supports convex hulls.</p><p>Future work could include other algorithms, such as <a href="https://github.com/augustt198/Quickhull.jl" target="_blank" rel="noreferrer">Quickhull.jl</a>, or similar, via package extensions.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><h3 id="Simple-hull" tabindex="-1">Simple hull <a class="header-anchor" href="#Simple-hull" aria-label="Permalink to &quot;Simple hull {#Simple-hull}&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/hatdqxw.DQxLQp_L.png",h="/GeometryOps.jl/dev/assets/zuhrnvv.mCtKcWOr.png",e="/GeometryOps.jl/dev/assets/xqugbnz.C1TEVbYt.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Convex-hull" tabindex="-1">Convex hull <a class="header-anchor" href="#Convex-hull" aria-label="Permalink to &quot;Convex hull {#Convex-hull}&quot;">​</a></h1><p>The <a href="https://en.wikipedia.org/wiki/Convex_hull" target="_blank" rel="noreferrer"><em>convex hull</em></a> of a set of points is the smallest <a href="https://en.wikipedia.org/wiki/Convex_set" target="_blank" rel="noreferrer"><strong>convex</strong></a> polygon that contains all the points.</p><p>GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.</p><p>For now, we expose one algorithm, MonotoneChainMethod, which uses the <a href="https://github.com/JuliaGeometry/DelaunayTriangulation.jl" target="_blank" rel="noreferrer">DelaunayTriangulation.jl</a> package. The <code>GEOS()</code> interface also supports convex hulls.</p><p>Future work could include other algorithms, such as <a href="https://github.com/augustt198/Quickhull.jl" target="_blank" rel="noreferrer">Quickhull.jl</a>, or similar, via package extensions.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><h3 id="Simple-hull" tabindex="-1">Simple hull <a class="header-anchor" href="#Simple-hull" aria-label="Permalink to &quot;Simple hull {#Simple-hull}&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># to plot</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">points </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> randn</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Point2f, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">100</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
@@ -6,7 +6,7 @@ import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const h
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">hull_poly </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(points)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, hull_poly; label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Convex hull&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">wong_colors</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">axislegend</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="`+h+`" alt=""></p><h2 id="Convex-hull-of-the-USA" tabindex="-1">Convex hull of the USA <a class="header-anchor" href="#Convex-hull-of-the-USA" aria-label="Permalink to &quot;Convex hull of the USA {#Convex-hull-of-the-USA}&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="`+t+`" alt=""></p><h2 id="Convex-hull-of-the-USA" tabindex="-1">Convex hull of the USA <a class="header-anchor" href="#Convex-hull-of-the-USA" aria-label="Permalink to &quot;Convex hull of the USA {#Convex-hull-of-the-USA}&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># to plot</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> NaturalEarth </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># for data</span></span>
 <span class="line"></span>
@@ -14,7 +14,7 @@ import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const h
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">usa </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> all_adm0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geometry[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">findfirst</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;USA&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), all_adm0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ADM0_A3)]</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa); color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">wong_colors</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="`+t+`" alt=""></p><h2 id="Investigating-the-winding-order" tabindex="-1">Investigating the winding order <a class="header-anchor" href="#Investigating-the-winding-order" aria-label="Permalink to &quot;Investigating the winding order {#Investigating-the-winding-order}&quot;">​</a></h2><p>The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.</p><p>GeometryOps&#39; convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it&#39;s just that the winding order is different.</p><p>In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (<code>isconcave</code>)!</p><p>We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always <code>fix</code> it...</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="`+h+`" alt=""></p><h2 id="Investigating-the-winding-order" tabindex="-1">Investigating the winding order <a class="header-anchor" href="#Investigating-the-winding-order" aria-label="Permalink to &quot;Investigating the winding order {#Investigating-the-winding-order}&quot;">​</a></h2><p>The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.</p><p>GeometryOps&#39; convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it&#39;s just that the winding order is different.</p><p>In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (<code>isconcave</code>)!</p><p>We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always <code>fix</code> it...</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># to plot</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">points </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> rand</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Point2{Float64}, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">100</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
diff --git a/dev/assets/source_methods_distance.md.Bc7lFF-i.js b/dev/assets/source_methods_distance.md.CT4mop5i.js
similarity index 99%
rename from dev/assets/source_methods_distance.md.Bc7lFF-i.js
rename to dev/assets/source_methods_distance.md.CT4mop5i.js
index 42cc87d0c..3dbbf54dc 100644
--- a/dev/assets/source_methods_distance.md.Bc7lFF-i.js
+++ b/dev/assets/source_methods_distance.md.CT4mop5i.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/klmxpbf.DiwGEg2f.png",k="/GeometryOps.jl/dev/assets/pthbixz.DuBHk1fh.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Distance-and-signed-distance" tabindex="-1">Distance and signed distance <a class="header-anchor" href="#Distance-and-signed-distance" aria-label="Permalink to &quot;Distance and signed distance {#Distance-and-signed-distance}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> distance, signed_distance</span></span></code></pre></div><h2 id="What-is-distance?-What-is-signed-distance?" tabindex="-1">What is distance? What is signed distance? <a class="header-anchor" href="#What-is-distance?-What-is-signed-distance?" aria-label="Permalink to &quot;What is distance? What is signed distance? {#What-is-distance?-What-is-signed-distance?}&quot;">​</a></h2><p>Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all &quot;non-filled&quot; geometries, like curves, the distance will either be positive or 0.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/glhbvoz.DiwGEg2f.png",k="/GeometryOps.jl/dev/assets/svktjgf.DuBHk1fh.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Distance-and-signed-distance" tabindex="-1">Distance and signed distance <a class="header-anchor" href="#Distance-and-signed-distance" aria-label="Permalink to &quot;Distance and signed distance {#Distance-and-signed-distance}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> distance, signed_distance</span></span></code></pre></div><h2 id="What-is-distance?-What-is-signed-distance?" tabindex="-1">What is distance? What is signed distance? <a class="header-anchor" href="#What-is-distance?-What-is-signed-distance?" aria-label="Permalink to &quot;What is distance? What is signed distance? {#What-is-distance?-What-is-signed-distance?}&quot;">​</a></h2><p>Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all &quot;non-filled&quot; geometries, like curves, the distance will either be positive or 0.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_distance.md.Bc7lFF-i.lean.js b/dev/assets/source_methods_distance.md.CT4mop5i.lean.js
similarity index 99%
rename from dev/assets/source_methods_distance.md.Bc7lFF-i.lean.js
rename to dev/assets/source_methods_distance.md.CT4mop5i.lean.js
index 42cc87d0c..3dbbf54dc 100644
--- a/dev/assets/source_methods_distance.md.Bc7lFF-i.lean.js
+++ b/dev/assets/source_methods_distance.md.CT4mop5i.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/klmxpbf.DiwGEg2f.png",k="/GeometryOps.jl/dev/assets/pthbixz.DuBHk1fh.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Distance-and-signed-distance" tabindex="-1">Distance and signed distance <a class="header-anchor" href="#Distance-and-signed-distance" aria-label="Permalink to &quot;Distance and signed distance {#Distance-and-signed-distance}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> distance, signed_distance</span></span></code></pre></div><h2 id="What-is-distance?-What-is-signed-distance?" tabindex="-1">What is distance? What is signed distance? <a class="header-anchor" href="#What-is-distance?-What-is-signed-distance?" aria-label="Permalink to &quot;What is distance? What is signed distance? {#What-is-distance?-What-is-signed-distance?}&quot;">​</a></h2><p>Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all &quot;non-filled&quot; geometries, like curves, the distance will either be positive or 0.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/glhbvoz.DiwGEg2f.png",k="/GeometryOps.jl/dev/assets/svktjgf.DuBHk1fh.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Distance-and-signed-distance" tabindex="-1">Distance and signed distance <a class="header-anchor" href="#Distance-and-signed-distance" aria-label="Permalink to &quot;Distance and signed distance {#Distance-and-signed-distance}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> distance, signed_distance</span></span></code></pre></div><h2 id="What-is-distance?-What-is-signed-distance?" tabindex="-1">What is distance? What is signed distance? <a class="header-anchor" href="#What-is-distance?-What-is-signed-distance?" aria-label="Permalink to &quot;What is distance? What is signed distance? {#What-is-distance?-What-is-signed-distance?}&quot;">​</a></h2><p>Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all &quot;non-filled&quot; geometries, like curves, the distance will either be positive or 0.</p><p>To provide an example, consider this rectangle:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_equals.md.BJrQK7ih.js b/dev/assets/source_methods_equals.md.f5dhabGy.js
similarity index 99%
rename from dev/assets/source_methods_equals.md.BJrQK7ih.js
rename to dev/assets/source_methods_equals.md.f5dhabGy.js
index 2bed43d0c..f77529ed8 100644
--- a/dev/assets/source_methods_equals.md.BJrQK7ih.js
+++ b/dev/assets/source_methods_equals.md.f5dhabGy.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/njwfzgd.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="equals" tabindex="-1">Equals <a class="header-anchor" href="#equals" aria-label="Permalink to &quot;Equals&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> equals</span></span></code></pre></div><h2 id="What-is-equals?" tabindex="-1">What is equals? <a class="header-anchor" href="#What-is-equals?" aria-label="Permalink to &quot;What is equals? {#What-is-equals?}&quot;">​</a></h2><p>The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/pjwvvrm.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="equals" tabindex="-1">Equals <a class="header-anchor" href="#equals" aria-label="Permalink to &quot;Equals&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> equals</span></span></code></pre></div><h2 id="What-is-equals?" tabindex="-1">What is equals? <a class="header-anchor" href="#What-is-equals?" aria-label="Permalink to &quot;What is equals? {#What-is-equals?}&quot;">​</a></h2><p>The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_equals.md.BJrQK7ih.lean.js b/dev/assets/source_methods_equals.md.f5dhabGy.lean.js
similarity index 99%
rename from dev/assets/source_methods_equals.md.BJrQK7ih.lean.js
rename to dev/assets/source_methods_equals.md.f5dhabGy.lean.js
index 2bed43d0c..f77529ed8 100644
--- a/dev/assets/source_methods_equals.md.BJrQK7ih.lean.js
+++ b/dev/assets/source_methods_equals.md.f5dhabGy.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/njwfzgd.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="equals" tabindex="-1">Equals <a class="header-anchor" href="#equals" aria-label="Permalink to &quot;Equals&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> equals</span></span></code></pre></div><h2 id="What-is-equals?" tabindex="-1">What is equals? <a class="header-anchor" href="#What-is-equals?" aria-label="Permalink to &quot;What is equals? {#What-is-equals?}&quot;">​</a></h2><p>The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/pjwvvrm.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="equals" tabindex="-1">Equals <a class="header-anchor" href="#equals" aria-label="Permalink to &quot;Equals&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> equals</span></span></code></pre></div><h2 id="What-is-equals?" tabindex="-1">What is equals? <a class="header-anchor" href="#What-is-equals?" aria-label="Permalink to &quot;What is equals? {#What-is-equals?}&quot;">​</a></h2><p>The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_contains.md.CqN31Kcv.js b/dev/assets/source_methods_geom_relations_contains.md.C6IZusKv.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_contains.md.CqN31Kcv.js
rename to dev/assets/source_methods_geom_relations_contains.md.C6IZusKv.js
index ab3f238fd..ca3000a15 100644
--- a/dev/assets/source_methods_geom_relations_contains.md.CqN31Kcv.js
+++ b/dev/assets/source_methods_geom_relations_contains.md.C6IZusKv.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const e="/GeometryOps.jl/dev/assets/mvkdxvr._0R9BbFk.png",E=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="contains" tabindex="-1">Contains <a class="header-anchor" href="#contains" aria-label="Permalink to &quot;Contains&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> contains</span></span></code></pre></div><h2 id="What-is-contains?" tabindex="-1">What is contains? <a class="header-anchor" href="#What-is-contains?" aria-label="Permalink to &quot;What is contains? {#What-is-contains?}&quot;">​</a></h2><p>The contains function checks if a given geometry completely contains another geometry, or in other words, that the second geometry is completely within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const e="/GeometryOps.jl/dev/assets/emqcofm._0R9BbFk.png",E=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="contains" tabindex="-1">Contains <a class="header-anchor" href="#contains" aria-label="Permalink to &quot;Contains&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> contains</span></span></code></pre></div><h2 id="What-is-contains?" tabindex="-1">What is contains? <a class="header-anchor" href="#What-is-contains?" aria-label="Permalink to &quot;What is contains? {#What-is-contains?}&quot;">​</a></h2><p>The contains function checks if a given geometry completely contains another geometry, or in other words, that the second geometry is completely within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_contains.md.CqN31Kcv.lean.js b/dev/assets/source_methods_geom_relations_contains.md.C6IZusKv.lean.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_contains.md.CqN31Kcv.lean.js
rename to dev/assets/source_methods_geom_relations_contains.md.C6IZusKv.lean.js
index ab3f238fd..ca3000a15 100644
--- a/dev/assets/source_methods_geom_relations_contains.md.CqN31Kcv.lean.js
+++ b/dev/assets/source_methods_geom_relations_contains.md.C6IZusKv.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const e="/GeometryOps.jl/dev/assets/mvkdxvr._0R9BbFk.png",E=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="contains" tabindex="-1">Contains <a class="header-anchor" href="#contains" aria-label="Permalink to &quot;Contains&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> contains</span></span></code></pre></div><h2 id="What-is-contains?" tabindex="-1">What is contains? <a class="header-anchor" href="#What-is-contains?" aria-label="Permalink to &quot;What is contains? {#What-is-contains?}&quot;">​</a></h2><p>The contains function checks if a given geometry completely contains another geometry, or in other words, that the second geometry is completely within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const e="/GeometryOps.jl/dev/assets/emqcofm._0R9BbFk.png",E=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="contains" tabindex="-1">Contains <a class="header-anchor" href="#contains" aria-label="Permalink to &quot;Contains&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> contains</span></span></code></pre></div><h2 id="What-is-contains?" tabindex="-1">What is contains? <a class="header-anchor" href="#What-is-contains?" aria-label="Permalink to &quot;What is contains? {#What-is-contains?}&quot;">​</a></h2><p>The contains function checks if a given geometry completely contains another geometry, or in other words, that the second geometry is completely within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_coveredby.md.DAW-T1ry.js b/dev/assets/source_methods_geom_relations_coveredby.md.D1UaUGPE.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_coveredby.md.DAW-T1ry.js
rename to dev/assets/source_methods_geom_relations_coveredby.md.D1UaUGPE.js
index 744c0de83..a2bb0b7b4 100644
--- a/dev/assets/source_methods_geom_relations_coveredby.md.DAW-T1ry.js
+++ b/dev/assets/source_methods_geom_relations_coveredby.md.D1UaUGPE.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const l="/GeometryOps.jl/dev/assets/kliugtk.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return e(),a("div",null,s[0]||(s[0]=[n(`<h1 id="coveredby" tabindex="-1">CoveredBy <a class="header-anchor" href="#coveredby" aria-label="Permalink to &quot;CoveredBy&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> coveredby</span></span></code></pre></div><h2 id="What-is-coveredby?" tabindex="-1">What is coveredby? <a class="header-anchor" href="#What-is-coveredby?" aria-label="Permalink to &quot;What is coveredby? {#What-is-coveredby?}&quot;">​</a></h2><p>The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn&#39;t outside of the second geometry.</p><p>To provide an example, consider this point and line:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/odbnzej.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return e(),a("div",null,s[0]||(s[0]=[n(`<h1 id="coveredby" tabindex="-1">CoveredBy <a class="header-anchor" href="#coveredby" aria-label="Permalink to &quot;CoveredBy&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> coveredby</span></span></code></pre></div><h2 id="What-is-coveredby?" tabindex="-1">What is coveredby? <a class="header-anchor" href="#What-is-coveredby?" aria-label="Permalink to &quot;What is coveredby? {#What-is-coveredby?}&quot;">​</a></h2><p>The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn&#39;t outside of the second geometry.</p><p>To provide an example, consider this point and line:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_coveredby.md.DAW-T1ry.lean.js b/dev/assets/source_methods_geom_relations_coveredby.md.D1UaUGPE.lean.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_coveredby.md.DAW-T1ry.lean.js
rename to dev/assets/source_methods_geom_relations_coveredby.md.D1UaUGPE.lean.js
index 744c0de83..a2bb0b7b4 100644
--- a/dev/assets/source_methods_geom_relations_coveredby.md.DAW-T1ry.lean.js
+++ b/dev/assets/source_methods_geom_relations_coveredby.md.D1UaUGPE.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const l="/GeometryOps.jl/dev/assets/kliugtk.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return e(),a("div",null,s[0]||(s[0]=[n(`<h1 id="coveredby" tabindex="-1">CoveredBy <a class="header-anchor" href="#coveredby" aria-label="Permalink to &quot;CoveredBy&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> coveredby</span></span></code></pre></div><h2 id="What-is-coveredby?" tabindex="-1">What is coveredby? <a class="header-anchor" href="#What-is-coveredby?" aria-label="Permalink to &quot;What is coveredby? {#What-is-coveredby?}&quot;">​</a></h2><p>The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn&#39;t outside of the second geometry.</p><p>To provide an example, consider this point and line:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/odbnzej.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return e(),a("div",null,s[0]||(s[0]=[n(`<h1 id="coveredby" tabindex="-1">CoveredBy <a class="header-anchor" href="#coveredby" aria-label="Permalink to &quot;CoveredBy&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> coveredby</span></span></code></pre></div><h2 id="What-is-coveredby?" tabindex="-1">What is coveredby? <a class="header-anchor" href="#What-is-coveredby?" aria-label="Permalink to &quot;What is coveredby? {#What-is-coveredby?}&quot;">​</a></h2><p>The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn&#39;t outside of the second geometry.</p><p>To provide an example, consider this point and line:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_covers.md.ByYJUB6K.js b/dev/assets/source_methods_geom_relations_covers.md.CxXPAOw2.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_covers.md.ByYJUB6K.js
rename to dev/assets/source_methods_geom_relations_covers.md.CxXPAOw2.js
index 668e4b25a..6ebc21369 100644
--- a/dev/assets/source_methods_geom_relations_covers.md.ByYJUB6K.js
+++ b/dev/assets/source_methods_geom_relations_covers.md.CxXPAOw2.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/kliugtk.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[e(`<h1 id="covers" tabindex="-1">Covers <a class="header-anchor" href="#covers" aria-label="Permalink to &quot;Covers&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> covers</span></span></code></pre></div><h2 id="What-is-covers?" tabindex="-1">What is covers? <a class="header-anchor" href="#What-is-covers?" aria-label="Permalink to &quot;What is covers? {#What-is-covers?}&quot;">​</a></h2><p>The covers function checks if a given geometry completely covers another geometry. For this to be true, the &quot;contained&quot; geometry&#39;s interior and boundaries must be covered by the &quot;covering&quot; geometry&#39;s interior and boundaries. The interiors do not need to overlap.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/odbnzej.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[e(`<h1 id="covers" tabindex="-1">Covers <a class="header-anchor" href="#covers" aria-label="Permalink to &quot;Covers&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> covers</span></span></code></pre></div><h2 id="What-is-covers?" tabindex="-1">What is covers? <a class="header-anchor" href="#What-is-covers?" aria-label="Permalink to &quot;What is covers? {#What-is-covers?}&quot;">​</a></h2><p>The covers function checks if a given geometry completely covers another geometry. For this to be true, the &quot;contained&quot; geometry&#39;s interior and boundaries must be covered by the &quot;covering&quot; geometry&#39;s interior and boundaries. The interiors do not need to overlap.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_covers.md.ByYJUB6K.lean.js b/dev/assets/source_methods_geom_relations_covers.md.CxXPAOw2.lean.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_covers.md.ByYJUB6K.lean.js
rename to dev/assets/source_methods_geom_relations_covers.md.CxXPAOw2.lean.js
index 668e4b25a..6ebc21369 100644
--- a/dev/assets/source_methods_geom_relations_covers.md.ByYJUB6K.lean.js
+++ b/dev/assets/source_methods_geom_relations_covers.md.CxXPAOw2.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/kliugtk.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[e(`<h1 id="covers" tabindex="-1">Covers <a class="header-anchor" href="#covers" aria-label="Permalink to &quot;Covers&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> covers</span></span></code></pre></div><h2 id="What-is-covers?" tabindex="-1">What is covers? <a class="header-anchor" href="#What-is-covers?" aria-label="Permalink to &quot;What is covers? {#What-is-covers?}&quot;">​</a></h2><p>The covers function checks if a given geometry completely covers another geometry. For this to be true, the &quot;contained&quot; geometry&#39;s interior and boundaries must be covered by the &quot;covering&quot; geometry&#39;s interior and boundaries. The interiors do not need to overlap.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/odbnzej.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[e(`<h1 id="covers" tabindex="-1">Covers <a class="header-anchor" href="#covers" aria-label="Permalink to &quot;Covers&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> covers</span></span></code></pre></div><h2 id="What-is-covers?" tabindex="-1">What is covers? <a class="header-anchor" href="#What-is-covers?" aria-label="Permalink to &quot;What is covers? {#What-is-covers?}&quot;">​</a></h2><p>The covers function checks if a given geometry completely covers another geometry. For this to be true, the &quot;contained&quot; geometry&#39;s interior and boundaries must be covered by the &quot;covering&quot; geometry&#39;s interior and boundaries. The interiors do not need to overlap.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_crosses.md.BvkmeuqD.js b/dev/assets/source_methods_geom_relations_crosses.md.DGEGsJXB.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_crosses.md.BvkmeuqD.js
rename to dev/assets/source_methods_geom_relations_crosses.md.DGEGsJXB.js
index b006dab63..553b7550f 100644
--- a/dev/assets/source_methods_geom_relations_crosses.md.BvkmeuqD.js
+++ b/dev/assets/source_methods_geom_relations_crosses.md.DGEGsJXB.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/crosses.md"};function h(t,s,k,e,r,E){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Crossing-checks" tabindex="-1">Crossing checks <a class="header-anchor" href="#Crossing-checks" aria-label="Permalink to &quot;Crossing checks {#Crossing-checks}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/crosses.md"};function h(t,s,k,e,r,E){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Crossing-checks" tabindex="-1">Crossing checks <a class="header-anchor" href="#Crossing-checks" aria-label="Permalink to &quot;Crossing checks {#Crossing-checks}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">     crosses(geom1, geom2)::Bool</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Return \`true\` if the intersection results in a geometry whose dimension is one less than</span></span>
diff --git a/dev/assets/source_methods_geom_relations_crosses.md.BvkmeuqD.lean.js b/dev/assets/source_methods_geom_relations_crosses.md.DGEGsJXB.lean.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_crosses.md.BvkmeuqD.lean.js
rename to dev/assets/source_methods_geom_relations_crosses.md.DGEGsJXB.lean.js
index b006dab63..553b7550f 100644
--- a/dev/assets/source_methods_geom_relations_crosses.md.BvkmeuqD.lean.js
+++ b/dev/assets/source_methods_geom_relations_crosses.md.DGEGsJXB.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/crosses.md"};function h(t,s,k,e,r,E){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Crossing-checks" tabindex="-1">Crossing checks <a class="header-anchor" href="#Crossing-checks" aria-label="Permalink to &quot;Crossing checks {#Crossing-checks}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/crosses.md"};function h(t,s,k,e,r,E){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Crossing-checks" tabindex="-1">Crossing checks <a class="header-anchor" href="#Crossing-checks" aria-label="Permalink to &quot;Crossing checks {#Crossing-checks}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">     crosses(geom1, geom2)::Bool</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Return \`true\` if the intersection results in a geometry whose dimension is one less than</span></span>
diff --git a/dev/assets/source_methods_geom_relations_disjoint.md.urjKKiWI.js b/dev/assets/source_methods_geom_relations_disjoint.md.DSyNMkAr.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_disjoint.md.urjKKiWI.js
rename to dev/assets/source_methods_geom_relations_disjoint.md.DSyNMkAr.js
index bb959fe59..d0cd1a9cf 100644
--- a/dev/assets/source_methods_geom_relations_disjoint.md.urjKKiWI.js
+++ b/dev/assets/source_methods_geom_relations_disjoint.md.DSyNMkAr.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const h="/GeometryOps.jl/dev/assets/aacdycg.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="disjoint" tabindex="-1">Disjoint <a class="header-anchor" href="#disjoint" aria-label="Permalink to &quot;Disjoint&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> disjoint</span></span></code></pre></div><h2 id="What-is-disjoint?" tabindex="-1">What is disjoint? <a class="header-anchor" href="#What-is-disjoint?" aria-label="Permalink to &quot;What is disjoint? {#What-is-disjoint?}&quot;">​</a></h2><p>The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const h="/GeometryOps.jl/dev/assets/nbefvdd.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="disjoint" tabindex="-1">Disjoint <a class="header-anchor" href="#disjoint" aria-label="Permalink to &quot;Disjoint&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> disjoint</span></span></code></pre></div><h2 id="What-is-disjoint?" tabindex="-1">What is disjoint? <a class="header-anchor" href="#What-is-disjoint?" aria-label="Permalink to &quot;What is disjoint? {#What-is-disjoint?}&quot;">​</a></h2><p>The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_disjoint.md.urjKKiWI.lean.js b/dev/assets/source_methods_geom_relations_disjoint.md.DSyNMkAr.lean.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_disjoint.md.urjKKiWI.lean.js
rename to dev/assets/source_methods_geom_relations_disjoint.md.DSyNMkAr.lean.js
index bb959fe59..d0cd1a9cf 100644
--- a/dev/assets/source_methods_geom_relations_disjoint.md.urjKKiWI.lean.js
+++ b/dev/assets/source_methods_geom_relations_disjoint.md.DSyNMkAr.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const h="/GeometryOps.jl/dev/assets/aacdycg.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="disjoint" tabindex="-1">Disjoint <a class="header-anchor" href="#disjoint" aria-label="Permalink to &quot;Disjoint&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> disjoint</span></span></code></pre></div><h2 id="What-is-disjoint?" tabindex="-1">What is disjoint? <a class="header-anchor" href="#What-is-disjoint?" aria-label="Permalink to &quot;What is disjoint? {#What-is-disjoint?}&quot;">​</a></h2><p>The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const h="/GeometryOps.jl/dev/assets/nbefvdd.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="disjoint" tabindex="-1">Disjoint <a class="header-anchor" href="#disjoint" aria-label="Permalink to &quot;Disjoint&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> disjoint</span></span></code></pre></div><h2 id="What-is-disjoint?" tabindex="-1">What is disjoint? <a class="header-anchor" href="#What-is-disjoint?" aria-label="Permalink to &quot;What is disjoint? {#What-is-disjoint?}&quot;">​</a></h2><p>The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.nbCs0NfI.js b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.U9N4Zvs6.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_geom_geom_processors.md.nbCs0NfI.js
rename to dev/assets/source_methods_geom_relations_geom_geom_processors.md.U9N4Zvs6.js
index 656313ed4..cf23be1de 100644
--- a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.nbCs0NfI.js
+++ b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.U9N4Zvs6.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/geom_geom_processors.md"};function t(p,s,k,e,r,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Line-curve-interaction" tabindex="-1">Line-curve interaction <a class="header-anchor" href="#Line-curve-interaction" aria-label="Permalink to &quot;Line-curve interaction {#Line-curve-interaction}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/geom_geom_processors.md"};function t(p,s,k,e,r,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Line-curve-interaction" tabindex="-1">Line-curve interaction <a class="header-anchor" href="#Line-curve-interaction" aria-label="Permalink to &quot;Line-curve interaction {#Line-curve-interaction}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">and attempts a standardized solution for most of the functions.</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">=#</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.nbCs0NfI.lean.js b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.U9N4Zvs6.lean.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_geom_geom_processors.md.nbCs0NfI.lean.js
rename to dev/assets/source_methods_geom_relations_geom_geom_processors.md.U9N4Zvs6.lean.js
index 656313ed4..cf23be1de 100644
--- a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.nbCs0NfI.lean.js
+++ b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.U9N4Zvs6.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/geom_geom_processors.md"};function t(p,s,k,e,r,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Line-curve-interaction" tabindex="-1">Line-curve interaction <a class="header-anchor" href="#Line-curve-interaction" aria-label="Permalink to &quot;Line-curve interaction {#Line-curve-interaction}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/geom_geom_processors.md"};function t(p,s,k,e,r,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Line-curve-interaction" tabindex="-1">Line-curve interaction <a class="header-anchor" href="#Line-curve-interaction" aria-label="Permalink to &quot;Line-curve interaction {#Line-curve-interaction}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">and attempts a standardized solution for most of the functions.</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">=#</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_methods_geom_relations_intersects.md.BnMqMLYY.js b/dev/assets/source_methods_geom_relations_intersects.md.Tj0d-LRw.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_intersects.md.BnMqMLYY.js
rename to dev/assets/source_methods_geom_relations_intersects.md.Tj0d-LRw.js
index 5495c4688..7823ac8c0 100644
--- a/dev/assets/source_methods_geom_relations_intersects.md.BnMqMLYY.js
+++ b/dev/assets/source_methods_geom_relations_intersects.md.Tj0d-LRw.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/gcuugnc.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[e(`<h1 id="Intersection-checks" tabindex="-1">Intersection checks <a class="header-anchor" href="#Intersection-checks" aria-label="Permalink to &quot;Intersection checks {#Intersection-checks}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> intersects</span></span></code></pre></div><h2 id="What-is-intersects?" tabindex="-1">What is <code>intersects</code>? <a class="header-anchor" href="#What-is-intersects?" aria-label="Permalink to &quot;What is \`intersects\`? {#What-is-intersects?}&quot;">​</a></h2><p>The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/pkcsydu.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,d,o){return n(),a("div",null,s[0]||(s[0]=[e(`<h1 id="Intersection-checks" tabindex="-1">Intersection checks <a class="header-anchor" href="#Intersection-checks" aria-label="Permalink to &quot;Intersection checks {#Intersection-checks}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> intersects</span></span></code></pre></div><h2 id="What-is-intersects?" tabindex="-1">What is <code>intersects</code>? <a class="header-anchor" href="#What-is-intersects?" aria-label="Permalink to &quot;What is \`intersects\`? {#What-is-intersects?}&quot;">​</a></h2><p>The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_intersects.md.BnMqMLYY.lean.js b/dev/assets/source_methods_geom_relations_intersects.md.Tj0d-LRw.lean.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_intersects.md.BnMqMLYY.lean.js
rename to dev/assets/source_methods_geom_relations_intersects.md.Tj0d-LRw.lean.js
index 5495c4688..7823ac8c0 100644
--- a/dev/assets/source_methods_geom_relations_intersects.md.BnMqMLYY.lean.js
+++ b/dev/assets/source_methods_geom_relations_intersects.md.Tj0d-LRw.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/gcuugnc.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[e(`<h1 id="Intersection-checks" tabindex="-1">Intersection checks <a class="header-anchor" href="#Intersection-checks" aria-label="Permalink to &quot;Intersection checks {#Intersection-checks}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> intersects</span></span></code></pre></div><h2 id="What-is-intersects?" tabindex="-1">What is <code>intersects</code>? <a class="header-anchor" href="#What-is-intersects?" aria-label="Permalink to &quot;What is \`intersects\`? {#What-is-intersects?}&quot;">​</a></h2><p>The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/pkcsydu.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,d,o){return n(),a("div",null,s[0]||(s[0]=[e(`<h1 id="Intersection-checks" tabindex="-1">Intersection checks <a class="header-anchor" href="#Intersection-checks" aria-label="Permalink to &quot;Intersection checks {#Intersection-checks}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> intersects</span></span></code></pre></div><h2 id="What-is-intersects?" tabindex="-1">What is <code>intersects</code>? <a class="header-anchor" href="#What-is-intersects?" aria-label="Permalink to &quot;What is \`intersects\`? {#What-is-intersects?}&quot;">​</a></h2><p>The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_overlaps.md.sexJjn0l.js b/dev/assets/source_methods_geom_relations_overlaps.md.Dsrv3zV8.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_overlaps.md.sexJjn0l.js
rename to dev/assets/source_methods_geom_relations_overlaps.md.Dsrv3zV8.js
index 114240c54..89026741b 100644
--- a/dev/assets/source_methods_geom_relations_overlaps.md.sexJjn0l.js
+++ b/dev/assets/source_methods_geom_relations_overlaps.md.Dsrv3zV8.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const p="/GeometryOps.jl/dev/assets/njwfzgd.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="overlaps" tabindex="-1">Overlaps <a class="header-anchor" href="#overlaps" aria-label="Permalink to &quot;Overlaps&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> overlaps</span></span></code></pre></div><h2 id="What-is-overlaps?" tabindex="-1">What is overlaps? <a class="header-anchor" href="#What-is-overlaps?" aria-label="Permalink to &quot;What is overlaps? {#What-is-overlaps?}&quot;">​</a></h2><p>The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.</p><p>Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is collinear.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const p="/GeometryOps.jl/dev/assets/pjwvvrm.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="overlaps" tabindex="-1">Overlaps <a class="header-anchor" href="#overlaps" aria-label="Permalink to &quot;Overlaps&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> overlaps</span></span></code></pre></div><h2 id="What-is-overlaps?" tabindex="-1">What is overlaps? <a class="header-anchor" href="#What-is-overlaps?" aria-label="Permalink to &quot;What is overlaps? {#What-is-overlaps?}&quot;">​</a></h2><p>The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.</p><p>Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is collinear.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_overlaps.md.sexJjn0l.lean.js b/dev/assets/source_methods_geom_relations_overlaps.md.Dsrv3zV8.lean.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_overlaps.md.sexJjn0l.lean.js
rename to dev/assets/source_methods_geom_relations_overlaps.md.Dsrv3zV8.lean.js
index 114240c54..89026741b 100644
--- a/dev/assets/source_methods_geom_relations_overlaps.md.sexJjn0l.lean.js
+++ b/dev/assets/source_methods_geom_relations_overlaps.md.Dsrv3zV8.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const p="/GeometryOps.jl/dev/assets/njwfzgd.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="overlaps" tabindex="-1">Overlaps <a class="header-anchor" href="#overlaps" aria-label="Permalink to &quot;Overlaps&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> overlaps</span></span></code></pre></div><h2 id="What-is-overlaps?" tabindex="-1">What is overlaps? <a class="header-anchor" href="#What-is-overlaps?" aria-label="Permalink to &quot;What is overlaps? {#What-is-overlaps?}&quot;">​</a></h2><p>The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.</p><p>Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is collinear.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const p="/GeometryOps.jl/dev/assets/pjwvvrm.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="overlaps" tabindex="-1">Overlaps <a class="header-anchor" href="#overlaps" aria-label="Permalink to &quot;Overlaps&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> overlaps</span></span></code></pre></div><h2 id="What-is-overlaps?" tabindex="-1">What is overlaps? <a class="header-anchor" href="#What-is-overlaps?" aria-label="Permalink to &quot;What is overlaps? {#What-is-overlaps?}&quot;">​</a></h2><p>The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.</p><p>Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is collinear.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_touches.md.BZdsIwcm.js b/dev/assets/source_methods_geom_relations_touches.md.DEzd_chO.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_touches.md.BZdsIwcm.js
rename to dev/assets/source_methods_geom_relations_touches.md.DEzd_chO.js
index e361c55bc..be4fe364a 100644
--- a/dev/assets/source_methods_geom_relations_touches.md.BZdsIwcm.js
+++ b/dev/assets/source_methods_geom_relations_touches.md.DEzd_chO.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const h="/GeometryOps.jl/dev/assets/iejgkmu.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="touches" tabindex="-1">Touches <a class="header-anchor" href="#touches" aria-label="Permalink to &quot;Touches&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> touches</span></span></code></pre></div><h2 id="What-is-touches?" tabindex="-1">What is touches? <a class="header-anchor" href="#What-is-touches?" aria-label="Permalink to &quot;What is touches? {#What-is-touches?}&quot;">​</a></h2><p>The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don&#39;t interact, but one of the geometries must have a boundary point that interacts with either the other geometry&#39;s interior or boundary.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const h="/GeometryOps.jl/dev/assets/wpeykob.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="touches" tabindex="-1">Touches <a class="header-anchor" href="#touches" aria-label="Permalink to &quot;Touches&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> touches</span></span></code></pre></div><h2 id="What-is-touches?" tabindex="-1">What is touches? <a class="header-anchor" href="#What-is-touches?" aria-label="Permalink to &quot;What is touches? {#What-is-touches?}&quot;">​</a></h2><p>The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don&#39;t interact, but one of the geometries must have a boundary point that interacts with either the other geometry&#39;s interior or boundary.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_touches.md.BZdsIwcm.lean.js b/dev/assets/source_methods_geom_relations_touches.md.DEzd_chO.lean.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_touches.md.BZdsIwcm.lean.js
rename to dev/assets/source_methods_geom_relations_touches.md.DEzd_chO.lean.js
index e361c55bc..be4fe364a 100644
--- a/dev/assets/source_methods_geom_relations_touches.md.BZdsIwcm.lean.js
+++ b/dev/assets/source_methods_geom_relations_touches.md.DEzd_chO.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const h="/GeometryOps.jl/dev/assets/iejgkmu.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="touches" tabindex="-1">Touches <a class="header-anchor" href="#touches" aria-label="Permalink to &quot;Touches&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> touches</span></span></code></pre></div><h2 id="What-is-touches?" tabindex="-1">What is touches? <a class="header-anchor" href="#What-is-touches?" aria-label="Permalink to &quot;What is touches? {#What-is-touches?}&quot;">​</a></h2><p>The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don&#39;t interact, but one of the geometries must have a boundary point that interacts with either the other geometry&#39;s interior or boundary.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const h="/GeometryOps.jl/dev/assets/wpeykob.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="touches" tabindex="-1">Touches <a class="header-anchor" href="#touches" aria-label="Permalink to &quot;Touches&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> touches</span></span></code></pre></div><h2 id="What-is-touches?" tabindex="-1">What is touches? <a class="header-anchor" href="#What-is-touches?" aria-label="Permalink to &quot;What is touches? {#What-is-touches?}&quot;">​</a></h2><p>The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don&#39;t interact, but one of the geometries must have a boundary point that interacts with either the other geometry&#39;s interior or boundary.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_within.md.djHz5LPE.js b/dev/assets/source_methods_geom_relations_within.md.DMC21lAv.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_within.md.djHz5LPE.js
rename to dev/assets/source_methods_geom_relations_within.md.DMC21lAv.js
index c6cb3a68c..c4d4cba95 100644
--- a/dev/assets/source_methods_geom_relations_within.md.djHz5LPE.js
+++ b/dev/assets/source_methods_geom_relations_within.md.DMC21lAv.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/mvkdxvr._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="within" tabindex="-1">Within <a class="header-anchor" href="#within" aria-label="Permalink to &quot;Within&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> within</span></span></code></pre></div><h2 id="What-is-within?" tabindex="-1">What is within? <a class="header-anchor" href="#What-is-within?" aria-label="Permalink to &quot;What is within? {#What-is-within?}&quot;">​</a></h2><p>The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/emqcofm._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="within" tabindex="-1">Within <a class="header-anchor" href="#within" aria-label="Permalink to &quot;Within&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> within</span></span></code></pre></div><h2 id="What-is-within?" tabindex="-1">What is within? <a class="header-anchor" href="#What-is-within?" aria-label="Permalink to &quot;What is within? {#What-is-within?}&quot;">​</a></h2><p>The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_geom_relations_within.md.djHz5LPE.lean.js b/dev/assets/source_methods_geom_relations_within.md.DMC21lAv.lean.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_within.md.djHz5LPE.lean.js
rename to dev/assets/source_methods_geom_relations_within.md.DMC21lAv.lean.js
index c6cb3a68c..c4d4cba95 100644
--- a/dev/assets/source_methods_geom_relations_within.md.djHz5LPE.lean.js
+++ b/dev/assets/source_methods_geom_relations_within.md.DMC21lAv.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/mvkdxvr._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="within" tabindex="-1">Within <a class="header-anchor" href="#within" aria-label="Permalink to &quot;Within&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> within</span></span></code></pre></div><h2 id="What-is-within?" tabindex="-1">What is within? <a class="header-anchor" href="#What-is-within?" aria-label="Permalink to &quot;What is within? {#What-is-within?}&quot;">​</a></h2><p>The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/emqcofm._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="within" tabindex="-1">Within <a class="header-anchor" href="#within" aria-label="Permalink to &quot;Within&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> within</span></span></code></pre></div><h2 id="What-is-within?" tabindex="-1">What is within? <a class="header-anchor" href="#What-is-within?" aria-label="Permalink to &quot;What is within? {#What-is-within?}&quot;">​</a></h2><p>The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.</p><p>To provide an example, consider these two lines:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
diff --git a/dev/assets/source_methods_orientation.md.Ph8Nq2JT.js b/dev/assets/source_methods_orientation.md.CJJPLosz.js
similarity index 99%
rename from dev/assets/source_methods_orientation.md.Ph8Nq2JT.js
rename to dev/assets/source_methods_orientation.md.CJJPLosz.js
index a2a322548..eb46840b2 100644
--- a/dev/assets/source_methods_orientation.md.Ph8Nq2JT.js
+++ b/dev/assets/source_methods_orientation.md.CJJPLosz.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),p={name:"source/methods/orientation.md"};function h(t,s,e,k,r,d){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="orientation" tabindex="-1">Orientation <a class="header-anchor" href="#orientation" aria-label="Permalink to &quot;Orientation&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> isclockwise, isconcave</span></span></code></pre></div><h4 id="isclockwise" tabindex="-1"><code>isclockwise</code> <a class="header-anchor" href="#isclockwise" aria-label="Permalink to &quot;\`isclockwise\` {#isclockwise}&quot;">​</a></h4><p>The orientation of a geometry is whether it runs clockwise or counter-clockwise.</p><p>This is defined for linestrings, linear rings, or vectors of points.</p><h4 id="isconcave" tabindex="-1"><code>isconcave</code> <a class="header-anchor" href="#isconcave" aria-label="Permalink to &quot;\`isconcave\` {#isconcave}&quot;">​</a></h4><p>A polygon is concave if it has at least one interior angle greater than 180 degrees, meaning that the interior of the polygon is not a convex set.</p><p>These are all adapted from Turf.jl.</p><p>The may not necessarily be what want in the end but work for now!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),p={name:"source/methods/orientation.md"};function h(t,s,e,k,r,d){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="orientation" tabindex="-1">Orientation <a class="header-anchor" href="#orientation" aria-label="Permalink to &quot;Orientation&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> isclockwise, isconcave</span></span></code></pre></div><h4 id="isclockwise" tabindex="-1"><code>isclockwise</code> <a class="header-anchor" href="#isclockwise" aria-label="Permalink to &quot;\`isclockwise\` {#isclockwise}&quot;">​</a></h4><p>The orientation of a geometry is whether it runs clockwise or counter-clockwise.</p><p>This is defined for linestrings, linear rings, or vectors of points.</p><h4 id="isconcave" tabindex="-1"><code>isconcave</code> <a class="header-anchor" href="#isconcave" aria-label="Permalink to &quot;\`isconcave\` {#isconcave}&quot;">​</a></h4><p>A polygon is concave if it has at least one interior angle greater than 180 degrees, meaning that the interior of the polygon is not a convex set.</p><p>These are all adapted from Turf.jl.</p><p>The may not necessarily be what want in the end but work for now!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    isclockwise(line::Union{LineString, Vector{Position}})::Bool</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Take a ring and return \`true\` if the line goes clockwise, or \`false\` if the line goes</span></span>
diff --git a/dev/assets/source_methods_orientation.md.Ph8Nq2JT.lean.js b/dev/assets/source_methods_orientation.md.CJJPLosz.lean.js
similarity index 99%
rename from dev/assets/source_methods_orientation.md.Ph8Nq2JT.lean.js
rename to dev/assets/source_methods_orientation.md.CJJPLosz.lean.js
index a2a322548..eb46840b2 100644
--- a/dev/assets/source_methods_orientation.md.Ph8Nq2JT.lean.js
+++ b/dev/assets/source_methods_orientation.md.CJJPLosz.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),p={name:"source/methods/orientation.md"};function h(t,s,e,k,r,d){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="orientation" tabindex="-1">Orientation <a class="header-anchor" href="#orientation" aria-label="Permalink to &quot;Orientation&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> isclockwise, isconcave</span></span></code></pre></div><h4 id="isclockwise" tabindex="-1"><code>isclockwise</code> <a class="header-anchor" href="#isclockwise" aria-label="Permalink to &quot;\`isclockwise\` {#isclockwise}&quot;">​</a></h4><p>The orientation of a geometry is whether it runs clockwise or counter-clockwise.</p><p>This is defined for linestrings, linear rings, or vectors of points.</p><h4 id="isconcave" tabindex="-1"><code>isconcave</code> <a class="header-anchor" href="#isconcave" aria-label="Permalink to &quot;\`isconcave\` {#isconcave}&quot;">​</a></h4><p>A polygon is concave if it has at least one interior angle greater than 180 degrees, meaning that the interior of the polygon is not a convex set.</p><p>These are all adapted from Turf.jl.</p><p>The may not necessarily be what want in the end but work for now!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),p={name:"source/methods/orientation.md"};function h(t,s,e,k,r,d){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="orientation" tabindex="-1">Orientation <a class="header-anchor" href="#orientation" aria-label="Permalink to &quot;Orientation&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> isclockwise, isconcave</span></span></code></pre></div><h4 id="isclockwise" tabindex="-1"><code>isclockwise</code> <a class="header-anchor" href="#isclockwise" aria-label="Permalink to &quot;\`isclockwise\` {#isclockwise}&quot;">​</a></h4><p>The orientation of a geometry is whether it runs clockwise or counter-clockwise.</p><p>This is defined for linestrings, linear rings, or vectors of points.</p><h4 id="isconcave" tabindex="-1"><code>isconcave</code> <a class="header-anchor" href="#isconcave" aria-label="Permalink to &quot;\`isconcave\` {#isconcave}&quot;">​</a></h4><p>A polygon is concave if it has at least one interior angle greater than 180 degrees, meaning that the interior of the polygon is not a convex set.</p><p>These are all adapted from Turf.jl.</p><p>The may not necessarily be what want in the end but work for now!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    isclockwise(line::Union{LineString, Vector{Position}})::Bool</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Take a ring and return \`true\` if the line goes clockwise, or \`false\` if the line goes</span></span>
diff --git a/dev/assets/source_methods_polygonize.md.82gzC_fG.js b/dev/assets/source_methods_polygonize.md.CVeeXkcB.js
similarity index 99%
rename from dev/assets/source_methods_polygonize.md.82gzC_fG.js
rename to dev/assets/source_methods_polygonize.md.CVeeXkcB.js
index 05f1e3bb1..113e2122f 100644
--- a/dev/assets/source_methods_polygonize.md.82gzC_fG.js
+++ b/dev/assets/source_methods_polygonize.md.CVeeXkcB.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),l={name:"source/methods/polygonize.md"};function p(t,s,k,e,d,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygonizing-raster-data" tabindex="-1">Polygonizing raster data <a class="header-anchor" href="#Polygonizing-raster-data" aria-label="Permalink to &quot;Polygonizing raster data {#Polygonizing-raster-data}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> polygonize</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),l={name:"source/methods/polygonize.md"};function p(t,s,k,e,d,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygonizing-raster-data" tabindex="-1">Polygonizing raster data <a class="header-anchor" href="#Polygonizing-raster-data" aria-label="Permalink to &quot;Polygonizing raster data {#Polygonizing-raster-data}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> polygonize</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#=</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">The methods in this file convert a raster image into a set of polygons,</span></span>
diff --git a/dev/assets/source_methods_polygonize.md.82gzC_fG.lean.js b/dev/assets/source_methods_polygonize.md.CVeeXkcB.lean.js
similarity index 99%
rename from dev/assets/source_methods_polygonize.md.82gzC_fG.lean.js
rename to dev/assets/source_methods_polygonize.md.CVeeXkcB.lean.js
index 05f1e3bb1..113e2122f 100644
--- a/dev/assets/source_methods_polygonize.md.82gzC_fG.lean.js
+++ b/dev/assets/source_methods_polygonize.md.CVeeXkcB.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),l={name:"source/methods/polygonize.md"};function p(t,s,k,e,d,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygonizing-raster-data" tabindex="-1">Polygonizing raster data <a class="header-anchor" href="#Polygonizing-raster-data" aria-label="Permalink to &quot;Polygonizing raster data {#Polygonizing-raster-data}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> polygonize</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),l={name:"source/methods/polygonize.md"};function p(t,s,k,e,d,E){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Polygonizing-raster-data" tabindex="-1">Polygonizing raster data <a class="header-anchor" href="#Polygonizing-raster-data" aria-label="Permalink to &quot;Polygonizing raster data {#Polygonizing-raster-data}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> polygonize</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#=</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">The methods in this file convert a raster image into a set of polygons,</span></span>
diff --git a/dev/assets/source_not_implemented_yet.md.ChYg0QGr.js b/dev/assets/source_not_implemented_yet.md.DW1FcB6-.js
similarity index 94%
rename from dev/assets/source_not_implemented_yet.md.ChYg0QGr.js
rename to dev/assets/source_not_implemented_yet.md.DW1FcB6-.js
index 27dba3804..2cf2e102c 100644
--- a/dev/assets/source_not_implemented_yet.md.ChYg0QGr.js
+++ b/dev/assets/source_not_implemented_yet.md.DW1FcB6-.js
@@ -1,4 +1,4 @@
-import{_ as i,c as t,a5 as s,o as a}from"./chunks/framework.O43fB7X6.js";const k=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),n={name:"source/not_implemented_yet.md"};function l(p,e,h,o,r,d){return a(),t("div",null,e[0]||(e[0]=[s(`<h1 id="Not-implemented-yet" tabindex="-1">Not implemented yet <a class="header-anchor" href="#Not-implemented-yet" aria-label="Permalink to &quot;Not implemented yet {#Not-implemented-yet}&quot;">​</a></h1><p>All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> symdifference </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
+import{_ as i,c as t,a5 as s,o as a}from"./chunks/framework.B_n_RGhH.js";const k=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),n={name:"source/not_implemented_yet.md"};function l(p,e,h,o,r,d){return a(),t("div",null,e[0]||(e[0]=[s(`<h1 id="Not-implemented-yet" tabindex="-1">Not implemented yet <a class="header-anchor" href="#Not-implemented-yet" aria-label="Permalink to &quot;Not implemented yet {#Not-implemented-yet}&quot;">​</a></h1><p>All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> symdifference </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> buffer </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> convexhull </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> concavehull </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>`,5)]))}const c=i(n,[["render",l]]);export{k as __pageData,c as default};
diff --git a/dev/assets/source_not_implemented_yet.md.ChYg0QGr.lean.js b/dev/assets/source_not_implemented_yet.md.DW1FcB6-.lean.js
similarity index 94%
rename from dev/assets/source_not_implemented_yet.md.ChYg0QGr.lean.js
rename to dev/assets/source_not_implemented_yet.md.DW1FcB6-.lean.js
index 27dba3804..2cf2e102c 100644
--- a/dev/assets/source_not_implemented_yet.md.ChYg0QGr.lean.js
+++ b/dev/assets/source_not_implemented_yet.md.DW1FcB6-.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as t,a5 as s,o as a}from"./chunks/framework.O43fB7X6.js";const k=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),n={name:"source/not_implemented_yet.md"};function l(p,e,h,o,r,d){return a(),t("div",null,e[0]||(e[0]=[s(`<h1 id="Not-implemented-yet" tabindex="-1">Not implemented yet <a class="header-anchor" href="#Not-implemented-yet" aria-label="Permalink to &quot;Not implemented yet {#Not-implemented-yet}&quot;">​</a></h1><p>All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> symdifference </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
+import{_ as i,c as t,a5 as s,o as a}from"./chunks/framework.B_n_RGhH.js";const k=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),n={name:"source/not_implemented_yet.md"};function l(p,e,h,o,r,d){return a(),t("div",null,e[0]||(e[0]=[s(`<h1 id="Not-implemented-yet" tabindex="-1">Not implemented yet <a class="header-anchor" href="#Not-implemented-yet" aria-label="Permalink to &quot;Not implemented yet {#Not-implemented-yet}&quot;">​</a></h1><p>All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> symdifference </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> buffer </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> convexhull </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> concavehull </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>`,5)]))}const c=i(n,[["render",l]]);export{k as __pageData,c as default};
diff --git a/dev/assets/source_primitives.md.CphxEvTN.js b/dev/assets/source_primitives.md.Y-Ywjmd3.js
similarity index 89%
rename from dev/assets/source_primitives.md.CphxEvTN.js
rename to dev/assets/source_primitives.md.Y-Ywjmd3.js
index 180130fe1..f8b777e17 100644
--- a/dev/assets/source_primitives.md.CphxEvTN.js
+++ b/dev/assets/source_primitives.md.Y-Ywjmd3.js
@@ -1 +1 @@
-import{_ as a,c as s,j as e,a as r,o as i}from"./chunks/framework.O43fB7X6.js";const f=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"};function l(o,t,p,c,d,m){return i(),s("div",null,t[0]||(t[0]=[e("hr",null,null,-1),e("p",null,[e("em",null,[r("This page was generated using "),e("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),r(".")])],-1)]))}const _=a(n,[["render",l]]);export{f as __pageData,_ as default};
+import{_ as a,c as s,j as e,a as r,o as i}from"./chunks/framework.B_n_RGhH.js";const f=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"};function l(o,t,p,c,d,m){return i(),s("div",null,t[0]||(t[0]=[e("hr",null,null,-1),e("p",null,[e("em",null,[r("This page was generated using "),e("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),r(".")])],-1)]))}const _=a(n,[["render",l]]);export{f as __pageData,_ as default};
diff --git a/dev/assets/source_primitives.md.CphxEvTN.lean.js b/dev/assets/source_primitives.md.Y-Ywjmd3.lean.js
similarity index 89%
rename from dev/assets/source_primitives.md.CphxEvTN.lean.js
rename to dev/assets/source_primitives.md.Y-Ywjmd3.lean.js
index 180130fe1..f8b777e17 100644
--- a/dev/assets/source_primitives.md.CphxEvTN.lean.js
+++ b/dev/assets/source_primitives.md.Y-Ywjmd3.lean.js
@@ -1 +1 @@
-import{_ as a,c as s,j as e,a as r,o as i}from"./chunks/framework.O43fB7X6.js";const f=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"};function l(o,t,p,c,d,m){return i(),s("div",null,t[0]||(t[0]=[e("hr",null,null,-1),e("p",null,[e("em",null,[r("This page was generated using "),e("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),r(".")])],-1)]))}const _=a(n,[["render",l]]);export{f as __pageData,_ as default};
+import{_ as a,c as s,j as e,a as r,o as i}from"./chunks/framework.B_n_RGhH.js";const f=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"};function l(o,t,p,c,d,m){return i(),s("div",null,t[0]||(t[0]=[e("hr",null,null,-1),e("p",null,[e("em",null,[r("This page was generated using "),e("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),r(".")])],-1)]))}const _=a(n,[["render",l]]);export{f as __pageData,_ as default};
diff --git a/dev/assets/source_src_GeometryOpsCore.md.BqzqjdCw.js b/dev/assets/source_src_GeometryOpsCore.md.4mMc6kXF.js
similarity index 98%
rename from dev/assets/source_src_GeometryOpsCore.md.BqzqjdCw.js
rename to dev/assets/source_src_GeometryOpsCore.md.4mMc6kXF.js
index a1467b277..b2c7cee90 100644
--- a/dev/assets/source_src_GeometryOpsCore.md.BqzqjdCw.js
+++ b/dev/assets/source_src_GeometryOpsCore.md.4mMc6kXF.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/GeometryOpsCore.md","filePath":"source/src/GeometryOpsCore.md","lastUpdated":null}'),l={name:"source/src/GeometryOpsCore.md"};function e(p,s,h,k,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsCore</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/GeometryOpsCore.md","filePath":"source/src/GeometryOpsCore.md","lastUpdated":null}'),l={name:"source/src/GeometryOpsCore.md"};function e(p,s,h,k,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsCore</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Base</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Threads</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> nthreads, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@threads</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@spawn</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_src_GeometryOpsCore.md.BqzqjdCw.lean.js b/dev/assets/source_src_GeometryOpsCore.md.4mMc6kXF.lean.js
similarity index 98%
rename from dev/assets/source_src_GeometryOpsCore.md.BqzqjdCw.lean.js
rename to dev/assets/source_src_GeometryOpsCore.md.4mMc6kXF.lean.js
index a1467b277..b2c7cee90 100644
--- a/dev/assets/source_src_GeometryOpsCore.md.BqzqjdCw.lean.js
+++ b/dev/assets/source_src_GeometryOpsCore.md.4mMc6kXF.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/GeometryOpsCore.md","filePath":"source/src/GeometryOpsCore.md","lastUpdated":null}'),l={name:"source/src/GeometryOpsCore.md"};function e(p,s,h,k,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsCore</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/GeometryOpsCore.md","filePath":"source/src/GeometryOpsCore.md","lastUpdated":null}'),l={name:"source/src/GeometryOpsCore.md"};function e(p,s,h,k,r,E){return t(),a("div",null,s[0]||(s[0]=[n(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">module</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOpsCore</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Base</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Threads</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> nthreads, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@threads</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@spawn</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_src_apply.md.DOPh9oqf.js b/dev/assets/source_src_apply.md.Cv2-2CFT.js
similarity index 99%
rename from dev/assets/source_src_apply.md.DOPh9oqf.js
rename to dev/assets/source_src_apply.md.Cv2-2CFT.js
index a942ce225..e5105e5a2 100644
--- a/dev/assets/source_src_apply.md.DOPh9oqf.js
+++ b/dev/assets/source_src_apply.md.Cv2-2CFT.js
@@ -1,4 +1,4 @@
-import{_ as h,c as l,a5 as a,j as i,a as t,G as n,B as p,o as k}from"./chunks/framework.O43fB7X6.js";const b=JSON.parse('{"title":"apply","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/apply.md","filePath":"source/src/apply.md","lastUpdated":null}'),r={name:"source/src/apply.md"},d={class:"jldocstring custom-block",open:""},o={class:"jldocstring custom-block",open:""};function g(E,s,c,y,F,u){const e=p("Badge");return k(),l("div",null,[s[6]||(s[6]=a('<h1 id="apply" tabindex="-1"><code>apply</code> <a class="header-anchor" href="#apply" aria-label="Permalink to &quot;`apply` {#apply}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> apply</span></span></code></pre></div><p>This file mainly defines the <code>apply</code> function.</p><p>In general, the idea behind the <code>apply</code> framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or <code>TraitTarget</code> union thereof, like <code>PointTrait</code> or <code>PolygonTrait</code>) and perform some operation on it. Then, the geometry or structure is rebuilt.</p><p>This allows for a simple and consistent framework within which users can define their own operations trivially easily, and removes a lot of the complexity involved with handling complex geometry structures.</p><p>For example, a simple way to flip the x and y coordinates of a geometry is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">flipped_geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), geom) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">do</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p</span></span>\n<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    (GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">y</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">x</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p))</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><p>As simple as that. There&#39;s no need to implement your own decomposition because it&#39;s done for you.</p><p>Functions like <code>flip</code>, <code>reproject</code>, <code>transform</code>, even <code>segmentize</code> and <code>simplify</code> have been implemented using the <code>apply</code> framework. Similarly, <code>centroid</code>, <code>area</code> and <code>distance</code> have been implemented using the <code>applyreduce</code> framework.</p><h2 id="docstrings" tabindex="-1">Docstrings <a class="header-anchor" href="#docstrings" aria-label="Permalink to &quot;Docstrings&quot;">​</a></h2><h3 id="functions" tabindex="-1">Functions <a class="header-anchor" href="#functions" aria-label="Permalink to &quot;Functions&quot;">​</a></h3>',11)),i("details",d,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryOpsCore.apply-source-src-apply",href:"#GeometryOps.GeometryOpsCore.apply-source-src-apply"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[1]||(s[1]=t()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=a(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as h,c as l,a5 as a,j as i,a as t,G as n,B as p,o as k}from"./chunks/framework.B_n_RGhH.js";const b=JSON.parse('{"title":"apply","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/apply.md","filePath":"source/src/apply.md","lastUpdated":null}'),r={name:"source/src/apply.md"},d={class:"jldocstring custom-block",open:""},o={class:"jldocstring custom-block",open:""};function g(E,s,c,y,F,u){const e=p("Badge");return k(),l("div",null,[s[6]||(s[6]=a('<h1 id="apply" tabindex="-1"><code>apply</code> <a class="header-anchor" href="#apply" aria-label="Permalink to &quot;`apply` {#apply}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> apply</span></span></code></pre></div><p>This file mainly defines the <code>apply</code> function.</p><p>In general, the idea behind the <code>apply</code> framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or <code>TraitTarget</code> union thereof, like <code>PointTrait</code> or <code>PolygonTrait</code>) and perform some operation on it. Then, the geometry or structure is rebuilt.</p><p>This allows for a simple and consistent framework within which users can define their own operations trivially easily, and removes a lot of the complexity involved with handling complex geometry structures.</p><p>For example, a simple way to flip the x and y coordinates of a geometry is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">flipped_geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), geom) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">do</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p</span></span>\n<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    (GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">y</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">x</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p))</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><p>As simple as that. There&#39;s no need to implement your own decomposition because it&#39;s done for you.</p><p>Functions like <code>flip</code>, <code>reproject</code>, <code>transform</code>, even <code>segmentize</code> and <code>simplify</code> have been implemented using the <code>apply</code> framework. Similarly, <code>centroid</code>, <code>area</code> and <code>distance</code> have been implemented using the <code>applyreduce</code> framework.</p><h2 id="docstrings" tabindex="-1">Docstrings <a class="header-anchor" href="#docstrings" aria-label="Permalink to &quot;Docstrings&quot;">​</a></h2><h3 id="functions" tabindex="-1">Functions <a class="header-anchor" href="#functions" aria-label="Permalink to &quot;Functions&quot;">​</a></h3>',11)),i("details",d,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryOpsCore.apply-source-src-apply",href:"#GeometryOps.GeometryOpsCore.apply-source-src-apply"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[1]||(s[1]=t()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=a(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]),</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                   GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
diff --git a/dev/assets/source_src_apply.md.DOPh9oqf.lean.js b/dev/assets/source_src_apply.md.Cv2-2CFT.lean.js
similarity index 99%
rename from dev/assets/source_src_apply.md.DOPh9oqf.lean.js
rename to dev/assets/source_src_apply.md.Cv2-2CFT.lean.js
index a942ce225..e5105e5a2 100644
--- a/dev/assets/source_src_apply.md.DOPh9oqf.lean.js
+++ b/dev/assets/source_src_apply.md.Cv2-2CFT.lean.js
@@ -1,4 +1,4 @@
-import{_ as h,c as l,a5 as a,j as i,a as t,G as n,B as p,o as k}from"./chunks/framework.O43fB7X6.js";const b=JSON.parse('{"title":"apply","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/apply.md","filePath":"source/src/apply.md","lastUpdated":null}'),r={name:"source/src/apply.md"},d={class:"jldocstring custom-block",open:""},o={class:"jldocstring custom-block",open:""};function g(E,s,c,y,F,u){const e=p("Badge");return k(),l("div",null,[s[6]||(s[6]=a('<h1 id="apply" tabindex="-1"><code>apply</code> <a class="header-anchor" href="#apply" aria-label="Permalink to &quot;`apply` {#apply}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> apply</span></span></code></pre></div><p>This file mainly defines the <code>apply</code> function.</p><p>In general, the idea behind the <code>apply</code> framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or <code>TraitTarget</code> union thereof, like <code>PointTrait</code> or <code>PolygonTrait</code>) and perform some operation on it. Then, the geometry or structure is rebuilt.</p><p>This allows for a simple and consistent framework within which users can define their own operations trivially easily, and removes a lot of the complexity involved with handling complex geometry structures.</p><p>For example, a simple way to flip the x and y coordinates of a geometry is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">flipped_geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), geom) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">do</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p</span></span>\n<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    (GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">y</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">x</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p))</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><p>As simple as that. There&#39;s no need to implement your own decomposition because it&#39;s done for you.</p><p>Functions like <code>flip</code>, <code>reproject</code>, <code>transform</code>, even <code>segmentize</code> and <code>simplify</code> have been implemented using the <code>apply</code> framework. Similarly, <code>centroid</code>, <code>area</code> and <code>distance</code> have been implemented using the <code>applyreduce</code> framework.</p><h2 id="docstrings" tabindex="-1">Docstrings <a class="header-anchor" href="#docstrings" aria-label="Permalink to &quot;Docstrings&quot;">​</a></h2><h3 id="functions" tabindex="-1">Functions <a class="header-anchor" href="#functions" aria-label="Permalink to &quot;Functions&quot;">​</a></h3>',11)),i("details",d,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryOpsCore.apply-source-src-apply",href:"#GeometryOps.GeometryOpsCore.apply-source-src-apply"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[1]||(s[1]=t()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=a(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as h,c as l,a5 as a,j as i,a as t,G as n,B as p,o as k}from"./chunks/framework.B_n_RGhH.js";const b=JSON.parse('{"title":"apply","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/apply.md","filePath":"source/src/apply.md","lastUpdated":null}'),r={name:"source/src/apply.md"},d={class:"jldocstring custom-block",open:""},o={class:"jldocstring custom-block",open:""};function g(E,s,c,y,F,u){const e=p("Badge");return k(),l("div",null,[s[6]||(s[6]=a('<h1 id="apply" tabindex="-1"><code>apply</code> <a class="header-anchor" href="#apply" aria-label="Permalink to &quot;`apply` {#apply}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> apply</span></span></code></pre></div><p>This file mainly defines the <code>apply</code> function.</p><p>In general, the idea behind the <code>apply</code> framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or <code>TraitTarget</code> union thereof, like <code>PointTrait</code> or <code>PolygonTrait</code>) and perform some operation on it. Then, the geometry or structure is rebuilt.</p><p>This allows for a simple and consistent framework within which users can define their own operations trivially easily, and removes a lot of the complexity involved with handling complex geometry structures.</p><p>For example, a simple way to flip the x and y coordinates of a geometry is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">flipped_geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PointTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), geom) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">do</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p</span></span>\n<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    (GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">y</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">x</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p))</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><p>As simple as that. There&#39;s no need to implement your own decomposition because it&#39;s done for you.</p><p>Functions like <code>flip</code>, <code>reproject</code>, <code>transform</code>, even <code>segmentize</code> and <code>simplify</code> have been implemented using the <code>apply</code> framework. Similarly, <code>centroid</code>, <code>area</code> and <code>distance</code> have been implemented using the <code>applyreduce</code> framework.</p><h2 id="docstrings" tabindex="-1">Docstrings <a class="header-anchor" href="#docstrings" aria-label="Permalink to &quot;Docstrings&quot;">​</a></h2><h3 id="functions" tabindex="-1">Functions <a class="header-anchor" href="#functions" aria-label="Permalink to &quot;Functions&quot;">​</a></h3>',11)),i("details",d,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryOpsCore.apply-source-src-apply",href:"#GeometryOps.GeometryOpsCore.apply-source-src-apply"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryOpsCore.apply")],-1)),s[1]||(s[1]=t()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=a(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, target</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Union{TraitTarget, GI.AbstractTrait}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, obj; kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p>Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function <code>f</code> on the <code>target</code> trait.</p><p><code>f(target_geom) =&gt; x</code> where <code>x</code> also has the <code>target</code> trait, or a trait that can be substituted. For example, swapping <code>PolgonTrait</code> to <code>MultiPointTrait</code> will fail if the outer object has <code>MultiPolygonTrait</code>, but should work if it has <code>FeatureTrait</code>.</p><p>Objects &quot;shallower&quot; than the target trait are always completely rebuilt, like a <code>Vector</code> of <code>FeatureCollectionTrait</code> of <code>FeatureTrait</code> when the target has <code>PolygonTrait</code> and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But &quot;deeper&quot; objects may remain unchanged or be whatever GeoInterface compatible objects <code>f</code> returns.</p><p>The result is a functionally similar geometry with values depending on <code>f</code>.</p><ul><li><p><code>threaded</code>: <code>true</code> or <code>false</code>. Whether to use multithreading. Defaults to <code>false</code>.</p></li><li><p><code>crs</code>: The CRS to attach to geometries. Defaults to <code>nothing</code>.</p></li><li><p><code>calc_extent</code>: <code>true</code> or <code>false</code>. Whether to calculate the extent. Defaults to <code>false</code>.</p></li></ul><p><strong>Example</strong></p><p>Flipped point the order in any feature or geometry, or iterables of either:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]),</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                   GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
diff --git a/dev/assets/source_src_applyreduce.md.SuS0iM3N.js b/dev/assets/source_src_applyreduce.md.CQegM7Zd.js
similarity index 99%
rename from dev/assets/source_src_applyreduce.md.SuS0iM3N.js
rename to dev/assets/source_src_applyreduce.md.CQegM7Zd.js
index 6c7417bda..819ab0e61 100644
--- a/dev/assets/source_src_applyreduce.md.SuS0iM3N.js
+++ b/dev/assets/source_src_applyreduce.md.CQegM7Zd.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"applyreduce","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/applyreduce.md","filePath":"source/src/applyreduce.md","lastUpdated":null}'),h={name:"source/src/applyreduce.md"};function e(p,s,l,k,r,d){return n(),a("div",null,s[0]||(s[0]=[t(`<h1 id="applyreduce" tabindex="-1"><code>applyreduce</code> <a class="header-anchor" href="#applyreduce" aria-label="Permalink to &quot;\`applyreduce\` {#applyreduce}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> applyreduce</span></span></code></pre></div><p>This file mainly defines the <code>applyreduce</code> function.</p><p>This performs <code>apply</code>, but then reduces the result after flattening instead of rebuilding the geometry.</p><p>In general, the idea behind the <code>apply</code> framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or <code>TraitTarget</code> union thereof, like <code>PointTrait</code> or <code>PolygonTrait</code>) and perform some operation on it.</p><p><code>centroid</code>, <code>area</code> and <code>distance</code> have been implemented using the <code>applyreduce</code> framework.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"applyreduce","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/applyreduce.md","filePath":"source/src/applyreduce.md","lastUpdated":null}'),h={name:"source/src/applyreduce.md"};function e(p,s,l,k,r,d){return n(),a("div",null,s[0]||(s[0]=[t(`<h1 id="applyreduce" tabindex="-1"><code>applyreduce</code> <a class="header-anchor" href="#applyreduce" aria-label="Permalink to &quot;\`applyreduce\` {#applyreduce}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> applyreduce</span></span></code></pre></div><p>This file mainly defines the <code>applyreduce</code> function.</p><p>This performs <code>apply</code>, but then reduces the result after flattening instead of rebuilding the geometry.</p><p>In general, the idea behind the <code>apply</code> framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or <code>TraitTarget</code> union thereof, like <code>PointTrait</code> or <code>PolygonTrait</code>) and perform some operation on it.</p><p><code>centroid</code>, <code>area</code> and <code>distance</code> have been implemented using the <code>applyreduce</code> framework.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Apply function \`f\` to all objects with the \`target\` trait,</span></span>
diff --git a/dev/assets/source_src_applyreduce.md.SuS0iM3N.lean.js b/dev/assets/source_src_applyreduce.md.CQegM7Zd.lean.js
similarity index 99%
rename from dev/assets/source_src_applyreduce.md.SuS0iM3N.lean.js
rename to dev/assets/source_src_applyreduce.md.CQegM7Zd.lean.js
index 6c7417bda..819ab0e61 100644
--- a/dev/assets/source_src_applyreduce.md.SuS0iM3N.lean.js
+++ b/dev/assets/source_src_applyreduce.md.CQegM7Zd.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"applyreduce","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/applyreduce.md","filePath":"source/src/applyreduce.md","lastUpdated":null}'),h={name:"source/src/applyreduce.md"};function e(p,s,l,k,r,d){return n(),a("div",null,s[0]||(s[0]=[t(`<h1 id="applyreduce" tabindex="-1"><code>applyreduce</code> <a class="header-anchor" href="#applyreduce" aria-label="Permalink to &quot;\`applyreduce\` {#applyreduce}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> applyreduce</span></span></code></pre></div><p>This file mainly defines the <code>applyreduce</code> function.</p><p>This performs <code>apply</code>, but then reduces the result after flattening instead of rebuilding the geometry.</p><p>In general, the idea behind the <code>apply</code> framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or <code>TraitTarget</code> union thereof, like <code>PointTrait</code> or <code>PolygonTrait</code>) and perform some operation on it.</p><p><code>centroid</code>, <code>area</code> and <code>distance</code> have been implemented using the <code>applyreduce</code> framework.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"applyreduce","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/applyreduce.md","filePath":"source/src/applyreduce.md","lastUpdated":null}'),h={name:"source/src/applyreduce.md"};function e(p,s,l,k,r,d){return n(),a("div",null,s[0]||(s[0]=[t(`<h1 id="applyreduce" tabindex="-1"><code>applyreduce</code> <a class="header-anchor" href="#applyreduce" aria-label="Permalink to &quot;\`applyreduce\` {#applyreduce}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> applyreduce</span></span></code></pre></div><p>This file mainly defines the <code>applyreduce</code> function.</p><p>This performs <code>apply</code>, but then reduces the result after flattening instead of rebuilding the geometry.</p><p>In general, the idea behind the <code>apply</code> framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or <code>TraitTarget</code> union thereof, like <code>PointTrait</code> or <code>PolygonTrait</code>) and perform some operation on it.</p><p><code>centroid</code>, <code>area</code> and <code>distance</code> have been implemented using the <code>applyreduce</code> framework.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Apply function \`f\` to all objects with the \`target\` trait,</span></span>
diff --git a/dev/assets/source_src_geometry_utils.md.Btyz5R1v.js b/dev/assets/source_src_geometry_utils.md.BNP4rp8d.js
similarity index 95%
rename from dev/assets/source_src_geometry_utils.md.Btyz5R1v.js
rename to dev/assets/source_src_geometry_utils.md.BNP4rp8d.js
index ce595ac60..f7c941c80 100644
--- a/dev/assets/source_src_geometry_utils.md.Btyz5R1v.js
+++ b/dev/assets/source_src_geometry_utils.md.BNP4rp8d.js
@@ -1,2 +1,2 @@
-import{_ as i,c as a,a5 as t,o as e}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/geometry_utils.md","filePath":"source/src/geometry_utils.md","lastUpdated":null}'),n={name:"source/src/geometry_utils.md"};function h(l,s,k,p,r,g){return e(),a("div",null,s[0]||(s[0]=[t(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_linearring</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">parent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom); extent</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">extent, crs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">crs)</span></span>
+import{_ as i,c as a,a5 as t,o as e}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/geometry_utils.md","filePath":"source/src/geometry_utils.md","lastUpdated":null}'),n={name:"source/src/geometry_utils.md"};function h(l,s,k,p,r,g){return e(),a("div",null,s[0]||(s[0]=[t(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_linearring</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">parent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom); extent</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">extent, crs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">crs)</span></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_linearring</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> geom</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>`,3)]))}const o=i(n,[["render",h]]);export{E as __pageData,o as default};
diff --git a/dev/assets/source_src_geometry_utils.md.Btyz5R1v.lean.js b/dev/assets/source_src_geometry_utils.md.BNP4rp8d.lean.js
similarity index 95%
rename from dev/assets/source_src_geometry_utils.md.Btyz5R1v.lean.js
rename to dev/assets/source_src_geometry_utils.md.BNP4rp8d.lean.js
index ce595ac60..f7c941c80 100644
--- a/dev/assets/source_src_geometry_utils.md.Btyz5R1v.lean.js
+++ b/dev/assets/source_src_geometry_utils.md.BNP4rp8d.lean.js
@@ -1,2 +1,2 @@
-import{_ as i,c as a,a5 as t,o as e}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/geometry_utils.md","filePath":"source/src/geometry_utils.md","lastUpdated":null}'),n={name:"source/src/geometry_utils.md"};function h(l,s,k,p,r,g){return e(),a("div",null,s[0]||(s[0]=[t(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_linearring</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">parent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom); extent</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">extent, crs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">crs)</span></span>
+import{_ as i,c as a,a5 as t,o as e}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/geometry_utils.md","filePath":"source/src/geometry_utils.md","lastUpdated":null}'),n={name:"source/src/geometry_utils.md"};function h(l,s,k,p,r,g){return e(),a("div",null,s[0]||(s[0]=[t(`<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_linearring</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">parent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom); extent</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">extent, crs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">crs)</span></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_linearring</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> geom</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>`,3)]))}const o=i(n,[["render",h]]);export{E as __pageData,o as default};
diff --git a/dev/assets/source_src_keyword_docs.md.B6dN1uTp.js b/dev/assets/source_src_keyword_docs.md.eVWchhDH.js
similarity index 95%
rename from dev/assets/source_src_keyword_docs.md.B6dN1uTp.js
rename to dev/assets/source_src_keyword_docs.md.eVWchhDH.js
index 7cc452916..d328f8835 100644
--- a/dev/assets/source_src_keyword_docs.md.B6dN1uTp.js
+++ b/dev/assets/source_src_keyword_docs.md.eVWchhDH.js
@@ -1 +1 @@
-import{_ as a,c as i,a5 as t,o as e}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"Keyword docs","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/keyword_docs.md","filePath":"source/src/keyword_docs.md","lastUpdated":null}'),n={name:"source/src/keyword_docs.md"};function l(h,s,o,r,p,d){return e(),i("div",null,s[0]||(s[0]=[t('<h1 id="Keyword-docs" tabindex="-1">Keyword docs <a class="header-anchor" href="#Keyword-docs" aria-label="Permalink to &quot;Keyword docs {#Keyword-docs}&quot;">​</a></h1><p>This file defines common keyword documentation, that can be spliced into docstrings.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> THREADED_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `threaded`: `true` or `false`. Whether to use multithreading. Defaults to `false`.&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CRS_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `crs`: The CRS to attach to geometries. Defaults to `nothing`.&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CALC_EXTENT_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `calc_extent`: `true` or `false`. Whether to calculate the extent. Defaults to `false`.&quot;</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> APPLY_KEYWORDS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$THREADED_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CRS_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CALC_EXTENT_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>',5)]))}const u=a(n,[["render",l]]);export{c as __pageData,u as default};
+import{_ as a,c as i,a5 as t,o as e}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"Keyword docs","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/keyword_docs.md","filePath":"source/src/keyword_docs.md","lastUpdated":null}'),n={name:"source/src/keyword_docs.md"};function l(h,s,o,r,p,d){return e(),i("div",null,s[0]||(s[0]=[t('<h1 id="Keyword-docs" tabindex="-1">Keyword docs <a class="header-anchor" href="#Keyword-docs" aria-label="Permalink to &quot;Keyword docs {#Keyword-docs}&quot;">​</a></h1><p>This file defines common keyword documentation, that can be spliced into docstrings.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> THREADED_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `threaded`: `true` or `false`. Whether to use multithreading. Defaults to `false`.&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CRS_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `crs`: The CRS to attach to geometries. Defaults to `nothing`.&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CALC_EXTENT_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `calc_extent`: `true` or `false`. Whether to calculate the extent. Defaults to `false`.&quot;</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> APPLY_KEYWORDS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$THREADED_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CRS_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CALC_EXTENT_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>',5)]))}const u=a(n,[["render",l]]);export{c as __pageData,u as default};
diff --git a/dev/assets/source_src_keyword_docs.md.B6dN1uTp.lean.js b/dev/assets/source_src_keyword_docs.md.eVWchhDH.lean.js
similarity index 95%
rename from dev/assets/source_src_keyword_docs.md.B6dN1uTp.lean.js
rename to dev/assets/source_src_keyword_docs.md.eVWchhDH.lean.js
index 7cc452916..d328f8835 100644
--- a/dev/assets/source_src_keyword_docs.md.B6dN1uTp.lean.js
+++ b/dev/assets/source_src_keyword_docs.md.eVWchhDH.lean.js
@@ -1 +1 @@
-import{_ as a,c as i,a5 as t,o as e}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"Keyword docs","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/keyword_docs.md","filePath":"source/src/keyword_docs.md","lastUpdated":null}'),n={name:"source/src/keyword_docs.md"};function l(h,s,o,r,p,d){return e(),i("div",null,s[0]||(s[0]=[t('<h1 id="Keyword-docs" tabindex="-1">Keyword docs <a class="header-anchor" href="#Keyword-docs" aria-label="Permalink to &quot;Keyword docs {#Keyword-docs}&quot;">​</a></h1><p>This file defines common keyword documentation, that can be spliced into docstrings.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> THREADED_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `threaded`: `true` or `false`. Whether to use multithreading. Defaults to `false`.&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CRS_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `crs`: The CRS to attach to geometries. Defaults to `nothing`.&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CALC_EXTENT_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `calc_extent`: `true` or `false`. Whether to calculate the extent. Defaults to `false`.&quot;</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> APPLY_KEYWORDS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$THREADED_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CRS_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CALC_EXTENT_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>',5)]))}const u=a(n,[["render",l]]);export{c as __pageData,u as default};
+import{_ as a,c as i,a5 as t,o as e}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"Keyword docs","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/keyword_docs.md","filePath":"source/src/keyword_docs.md","lastUpdated":null}'),n={name:"source/src/keyword_docs.md"};function l(h,s,o,r,p,d){return e(),i("div",null,s[0]||(s[0]=[t('<h1 id="Keyword-docs" tabindex="-1">Keyword docs <a class="header-anchor" href="#Keyword-docs" aria-label="Permalink to &quot;Keyword docs {#Keyword-docs}&quot;">​</a></h1><p>This file defines common keyword documentation, that can be spliced into docstrings.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> THREADED_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `threaded`: `true` or `false`. Whether to use multithreading. Defaults to `false`.&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CRS_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `crs`: The CRS to attach to geometries. Defaults to `nothing`.&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CALC_EXTENT_KEYWORD </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;- `calc_extent`: `true` or `false`. Whether to calculate the extent. Defaults to `false`.&quot;</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> APPLY_KEYWORDS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$THREADED_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CRS_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CALC_EXTENT_KEYWORD</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>',5)]))}const u=a(n,[["render",l]]);export{c as __pageData,u as default};
diff --git a/dev/assets/source_src_other_primitives.md.w6TkOrmH.js b/dev/assets/source_src_other_primitives.md.CgdSSOvp.js
similarity index 99%
rename from dev/assets/source_src_other_primitives.md.w6TkOrmH.js
rename to dev/assets/source_src_other_primitives.md.CgdSSOvp.js
index 8761ad429..a65910b07 100644
--- a/dev/assets/source_src_other_primitives.md.w6TkOrmH.js
+++ b/dev/assets/source_src_other_primitives.md.CgdSSOvp.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"Other primitives (unwrap, flatten, etc)","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/other_primitives.md","filePath":"source/src/other_primitives.md","lastUpdated":null}'),h={name:"source/src/other_primitives.md"};function k(l,s,p,e,r,E){return n(),a("div",null,s[0]||(s[0]=[t(`<h1 id="Other-primitives-(unwrap,-flatten,-etc)" tabindex="-1">Other primitives (unwrap, flatten, etc) <a class="header-anchor" href="#Other-primitives-(unwrap,-flatten,-etc)" aria-label="Permalink to &quot;Other primitives (unwrap, flatten, etc) {#Other-primitives-(unwrap,-flatten,-etc)}&quot;">​</a></h1><p>This file defines the following primitives:</p><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>unwrap</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>flatten</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>reconstruct</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>rebuild</code>. Check Documenter&#39;s build log for details.</p></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"Other primitives (unwrap, flatten, etc)","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/other_primitives.md","filePath":"source/src/other_primitives.md","lastUpdated":null}'),h={name:"source/src/other_primitives.md"};function k(l,s,p,e,r,E){return n(),a("div",null,s[0]||(s[0]=[t(`<h1 id="Other-primitives-(unwrap,-flatten,-etc)" tabindex="-1">Other primitives (unwrap, flatten, etc) <a class="header-anchor" href="#Other-primitives-(unwrap,-flatten,-etc)" aria-label="Permalink to &quot;Other primitives (unwrap, flatten, etc) {#Other-primitives-(unwrap,-flatten,-etc)}&quot;">​</a></h1><p>This file defines the following primitives:</p><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>unwrap</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>flatten</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>reconstruct</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>rebuild</code>. Check Documenter&#39;s build log for details.</p></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    unwrap(target::Type{&lt;:AbstractTrait}, obj)</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    unwrap(f, target::Type{&lt;:AbstractTrait}, obj)</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_src_other_primitives.md.w6TkOrmH.lean.js b/dev/assets/source_src_other_primitives.md.CgdSSOvp.lean.js
similarity index 99%
rename from dev/assets/source_src_other_primitives.md.w6TkOrmH.lean.js
rename to dev/assets/source_src_other_primitives.md.CgdSSOvp.lean.js
index 8761ad429..a65910b07 100644
--- a/dev/assets/source_src_other_primitives.md.w6TkOrmH.lean.js
+++ b/dev/assets/source_src_other_primitives.md.CgdSSOvp.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"Other primitives (unwrap, flatten, etc)","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/other_primitives.md","filePath":"source/src/other_primitives.md","lastUpdated":null}'),h={name:"source/src/other_primitives.md"};function k(l,s,p,e,r,E){return n(),a("div",null,s[0]||(s[0]=[t(`<h1 id="Other-primitives-(unwrap,-flatten,-etc)" tabindex="-1">Other primitives (unwrap, flatten, etc) <a class="header-anchor" href="#Other-primitives-(unwrap,-flatten,-etc)" aria-label="Permalink to &quot;Other primitives (unwrap, flatten, etc) {#Other-primitives-(unwrap,-flatten,-etc)}&quot;">​</a></h1><p>This file defines the following primitives:</p><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>unwrap</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>flatten</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>reconstruct</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>rebuild</code>. Check Documenter&#39;s build log for details.</p></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"Other primitives (unwrap, flatten, etc)","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/other_primitives.md","filePath":"source/src/other_primitives.md","lastUpdated":null}'),h={name:"source/src/other_primitives.md"};function k(l,s,p,e,r,E){return n(),a("div",null,s[0]||(s[0]=[t(`<h1 id="Other-primitives-(unwrap,-flatten,-etc)" tabindex="-1">Other primitives (unwrap, flatten, etc) <a class="header-anchor" href="#Other-primitives-(unwrap,-flatten,-etc)" aria-label="Permalink to &quot;Other primitives (unwrap, flatten, etc) {#Other-primitives-(unwrap,-flatten,-etc)}&quot;">​</a></h1><p>This file defines the following primitives:</p><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>unwrap</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>flatten</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>reconstruct</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>rebuild</code>. Check Documenter&#39;s build log for details.</p></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    unwrap(target::Type{&lt;:AbstractTrait}, obj)</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    unwrap(f, target::Type{&lt;:AbstractTrait}, obj)</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_src_types.md.BuVKG-gS.js b/dev/assets/source_src_types.md.BdEMpQc2.js
similarity index 96%
rename from dev/assets/source_src_types.md.BuVKG-gS.js
rename to dev/assets/source_src_types.md.BdEMpQc2.js
index f72789a51..ce21bf28e 100644
--- a/dev/assets/source_src_types.md.BuVKG-gS.js
+++ b/dev/assets/source_src_types.md.BdEMpQc2.js
@@ -1,4 +1,4 @@
-import{_ as a,c as i,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/types.md","filePath":"source/src/types.md","lastUpdated":null}'),t={name:"source/src/types.md"};function l(p,s,h,k,r,o){return e(),i("div",null,s[0]||(s[0]=[n(`<h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This defines core types that the GeometryOps ecosystem uses, and that are usable in more than just GeometryOps.</p><h2 id="Manifold" tabindex="-1"><code>Manifold</code> <a class="header-anchor" href="#Manifold" aria-label="Permalink to &quot;\`Manifold\` {#Manifold}&quot;">​</a></h2><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>In GeometryOps (and geodesy more generally), there are three manifolds we care about:</p><ul><li><p><code>Linear</code>: the 2d plane, a completely Euclidean manifold</p></li><li><p><code>Spherical</code>: the unit sphere, but one where areas are multiplied by the radius of the Earth. This is not Euclidean globally, but all map projections attempt to represent the sphere on the Euclidean 2D plane to varying degrees of success.</p></li><li><p><code>Geodesic</code>: the ellipsoid, the closest we can come to representing the Earth by a simple geometric shape. Parametrized by <code>semimajor_axis</code> and <code>inv_flattening</code>.</p></li></ul><p>Generally, we aim to have <code>Linear</code> and <code>Spherical</code> be operable everywhere, whereas <code>Geodesic</code> will only apply in specific circumstances. Currently, those circumstances are <code>area</code> and <code>segmentize</code>, but this could be extended with time and <a href="https://github.com/JuliaGeo/SphericalGeodesics.jl" target="_blank" rel="noreferrer">https://github.com/JuliaGeo/SphericalGeodesics.jl</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Linear, Spherical, Geodesic</span></span>
+import{_ as a,c as i,a5 as n,o as e}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/types.md","filePath":"source/src/types.md","lastUpdated":null}'),t={name:"source/src/types.md"};function l(p,s,h,k,r,o){return e(),i("div",null,s[0]||(s[0]=[n(`<h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This defines core types that the GeometryOps ecosystem uses, and that are usable in more than just GeometryOps.</p><h2 id="Manifold" tabindex="-1"><code>Manifold</code> <a class="header-anchor" href="#Manifold" aria-label="Permalink to &quot;\`Manifold\` {#Manifold}&quot;">​</a></h2><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>In GeometryOps (and geodesy more generally), there are three manifolds we care about:</p><ul><li><p><code>Planar</code>: the 2d plane, a completely Euclidean manifold</p></li><li><p><code>Spherical</code>: the unit sphere, but one where areas are multiplied by the radius of the Earth. This is not Euclidean globally, but all map projections attempt to represent the sphere on the Euclidean 2D plane to varying degrees of success.</p></li><li><p><code>Geodesic</code>: the ellipsoid, the closest we can come to representing the Earth by a simple geometric shape. Parametrized by <code>semimajor_axis</code> and <code>inv_flattening</code>.</p></li></ul><p>Generally, we aim to have <code>Linear</code> and <code>Spherical</code> be operable everywhere, whereas <code>Geodesic</code> will only apply in specific circumstances. Currently, those circumstances are <code>area</code> and <code>segmentize</code>, but this could be extended with time and <a href="https://github.com/JuliaGeo/SphericalGeodesics.jl" target="_blank" rel="noreferrer">https://github.com/JuliaGeo/SphericalGeodesics.jl</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Planar, Spherical, Geodesic</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> TraitTarget</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BoolsAsTypes, _True, _False, _booltype</span></span>
 <span class="line"></span>
@@ -9,17 +9,19 @@ import{_ as a,c as i,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const c
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">We use the manifold definition to define the space in which an operation should be performed, or where a geometry lies.</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Currently we have \`Linear\`, \`Spherical\`, and \`Geodesic\` manifolds.</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Currently we have \`Planar\`, \`Spherical\`, and \`Geodesic\` manifolds.</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Manifold </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Linear()</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Planar()</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">A linear manifold means that the space is completely Euclidean,</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">and planar geometry suffices.</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">A planar manifold refers to the 2D Euclidean plane.</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Z coordinates may be accepted but will not influence geometry calculations, which</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">are done purely on 2D geometry.  This is the standard &quot;2.5D&quot; model used by e.g. GEOS.</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Linear </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Manifold</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Planar </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Manifold</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
diff --git a/dev/assets/source_src_types.md.BuVKG-gS.lean.js b/dev/assets/source_src_types.md.BdEMpQc2.lean.js
similarity index 96%
rename from dev/assets/source_src_types.md.BuVKG-gS.lean.js
rename to dev/assets/source_src_types.md.BdEMpQc2.lean.js
index f72789a51..ce21bf28e 100644
--- a/dev/assets/source_src_types.md.BuVKG-gS.lean.js
+++ b/dev/assets/source_src_types.md.BdEMpQc2.lean.js
@@ -1,4 +1,4 @@
-import{_ as a,c as i,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/types.md","filePath":"source/src/types.md","lastUpdated":null}'),t={name:"source/src/types.md"};function l(p,s,h,k,r,o){return e(),i("div",null,s[0]||(s[0]=[n(`<h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This defines core types that the GeometryOps ecosystem uses, and that are usable in more than just GeometryOps.</p><h2 id="Manifold" tabindex="-1"><code>Manifold</code> <a class="header-anchor" href="#Manifold" aria-label="Permalink to &quot;\`Manifold\` {#Manifold}&quot;">​</a></h2><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>In GeometryOps (and geodesy more generally), there are three manifolds we care about:</p><ul><li><p><code>Linear</code>: the 2d plane, a completely Euclidean manifold</p></li><li><p><code>Spherical</code>: the unit sphere, but one where areas are multiplied by the radius of the Earth. This is not Euclidean globally, but all map projections attempt to represent the sphere on the Euclidean 2D plane to varying degrees of success.</p></li><li><p><code>Geodesic</code>: the ellipsoid, the closest we can come to representing the Earth by a simple geometric shape. Parametrized by <code>semimajor_axis</code> and <code>inv_flattening</code>.</p></li></ul><p>Generally, we aim to have <code>Linear</code> and <code>Spherical</code> be operable everywhere, whereas <code>Geodesic</code> will only apply in specific circumstances. Currently, those circumstances are <code>area</code> and <code>segmentize</code>, but this could be extended with time and <a href="https://github.com/JuliaGeo/SphericalGeodesics.jl" target="_blank" rel="noreferrer">https://github.com/JuliaGeo/SphericalGeodesics.jl</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Linear, Spherical, Geodesic</span></span>
+import{_ as a,c as i,a5 as n,o as e}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/types.md","filePath":"source/src/types.md","lastUpdated":null}'),t={name:"source/src/types.md"};function l(p,s,h,k,r,o){return e(),i("div",null,s[0]||(s[0]=[n(`<h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This defines core types that the GeometryOps ecosystem uses, and that are usable in more than just GeometryOps.</p><h2 id="Manifold" tabindex="-1"><code>Manifold</code> <a class="header-anchor" href="#Manifold" aria-label="Permalink to &quot;\`Manifold\` {#Manifold}&quot;">​</a></h2><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>In GeometryOps (and geodesy more generally), there are three manifolds we care about:</p><ul><li><p><code>Planar</code>: the 2d plane, a completely Euclidean manifold</p></li><li><p><code>Spherical</code>: the unit sphere, but one where areas are multiplied by the radius of the Earth. This is not Euclidean globally, but all map projections attempt to represent the sphere on the Euclidean 2D plane to varying degrees of success.</p></li><li><p><code>Geodesic</code>: the ellipsoid, the closest we can come to representing the Earth by a simple geometric shape. Parametrized by <code>semimajor_axis</code> and <code>inv_flattening</code>.</p></li></ul><p>Generally, we aim to have <code>Linear</code> and <code>Spherical</code> be operable everywhere, whereas <code>Geodesic</code> will only apply in specific circumstances. Currently, those circumstances are <code>area</code> and <code>segmentize</code>, but this could be extended with time and <a href="https://github.com/JuliaGeo/SphericalGeodesics.jl" target="_blank" rel="noreferrer">https://github.com/JuliaGeo/SphericalGeodesics.jl</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Planar, Spherical, Geodesic</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> TraitTarget</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BoolsAsTypes, _True, _False, _booltype</span></span>
 <span class="line"></span>
@@ -9,17 +9,19 @@ import{_ as a,c as i,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const c
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">We use the manifold definition to define the space in which an operation should be performed, or where a geometry lies.</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Currently we have \`Linear\`, \`Spherical\`, and \`Geodesic\` manifolds.</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Currently we have \`Planar\`, \`Spherical\`, and \`Geodesic\` manifolds.</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Manifold </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Linear()</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Planar()</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">A linear manifold means that the space is completely Euclidean,</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">and planar geometry suffices.</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">A planar manifold refers to the 2D Euclidean plane.</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Z coordinates may be accepted but will not influence geometry calculations, which</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">are done purely on 2D geometry.  This is the standard &quot;2.5D&quot; model used by e.g. GEOS.</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Linear </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Manifold</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Planar </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Manifold</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
diff --git a/dev/assets/source_transformations_correction_closed_ring.md.DWFgEYUs.js b/dev/assets/source_transformations_correction_closed_ring.md.Dd17xmiZ.js
similarity index 99%
rename from dev/assets/source_transformations_correction_closed_ring.md.DWFgEYUs.js
rename to dev/assets/source_transformations_correction_closed_ring.md.Dd17xmiZ.js
index 0d950e81f..c66cca577 100644
--- a/dev/assets/source_transformations_correction_closed_ring.md.DWFgEYUs.js
+++ b/dev/assets/source_transformations_correction_closed_ring.md.Dd17xmiZ.js
@@ -1,4 +1,4 @@
-import{_ as l,c as a,a5 as n,j as i,a as t,o as e}from"./chunks/framework.O43fB7X6.js";const m=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),h={name:"source/transformations/correction/closed_ring.md"},p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"};function d(g,s,c,E,y,u){return e(),a("div",null,[s[7]||(s[7]=n(`<h1 id="Closed-Rings" tabindex="-1">Closed Rings <a class="header-anchor" href="#Closed-Rings" aria-label="Permalink to &quot;Closed Rings {#Closed-Rings}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ClosedRing</span></span></code></pre></div><p>A closed ring is a ring that has the same start and end point. This is a requirement for a valid polygon (technically, for a valid LinearRing). This correction is used to ensure that the polygon is valid.</p><p>The reason this operates on the polygon level is that several packages are loose about whether they return LinearRings (which is correct) or LineStrings (which is incorrect) for the contents of a polygon. Therefore, we decompose manually to ensure correctness.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>Many polygon providers do not close their polygons, which makes them invalid according to the specification. Quite a few geometry algorithms assume that polygons are closed, and leaving them open can lead to incorrect results!</p><p>For example, the following polygon is not valid:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as l,c as a,a5 as n,j as i,a as t,o as e}from"./chunks/framework.B_n_RGhH.js";const m=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),h={name:"source/transformations/correction/closed_ring.md"},p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"};function d(g,s,c,E,y,u){return e(),a("div",null,[s[7]||(s[7]=n(`<h1 id="Closed-Rings" tabindex="-1">Closed Rings <a class="header-anchor" href="#Closed-Rings" aria-label="Permalink to &quot;Closed Rings {#Closed-Rings}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ClosedRing</span></span></code></pre></div><p>A closed ring is a ring that has the same start and end point. This is a requirement for a valid polygon (technically, for a valid LinearRing). This correction is used to ensure that the polygon is valid.</p><p>The reason this operates on the polygon level is that several packages are loose about whether they return LinearRings (which is correct) or LineStrings (which is incorrect) for the contents of a polygon. Therefore, we decompose manually to ensure correctness.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>Many polygon providers do not close their polygons, which makes them invalid according to the specification. Quite a few geometry algorithms assume that polygons are closed, and leaving them open can lead to incorrect results!</p><p>For example, the following polygon is not valid:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([[(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}([(0, 0), (1, 0), (1, 1), (0, 1)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>even though it will look correct when visualized, and indeed appears correct.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">fix</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(polygon, corrections </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">ClosedRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (1.0, 0.0), (1.0, 1.0), (0.0, 1.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div>`,12)),i("p",null,[s[4]||(s[4]=t("You can see that the last point of the ring here is equal to the first point. For a polygon with ")),i("mjx-container",p,[(e(),a("svg",k,s[0]||(s[0]=[i("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[i("g",{"data-mml-node":"math"},[i("g",{"data-mml-node":"mi"},[i("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"n")])],-1))]),s[5]||(s[5]=t(" sides, there should be ")),i("mjx-container",r,[(e(),a("svg",o,s[2]||(s[2]=[n('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z" style="stroke-width:3;"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z" style="stroke-width:3;"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" style="stroke-width:3;"></path></g></g></g>',1)]))),s[3]||(s[3]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"n"),i("mo",null,"+"),i("mn",null,"1")])],-1))]),s[6]||(s[6]=t(" vertices."))]),s[8]||(s[8]=n(`<h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    ClosedRing() &lt;: GeometryCorrection</span></span>
diff --git a/dev/assets/source_transformations_correction_closed_ring.md.DWFgEYUs.lean.js b/dev/assets/source_transformations_correction_closed_ring.md.Dd17xmiZ.lean.js
similarity index 99%
rename from dev/assets/source_transformations_correction_closed_ring.md.DWFgEYUs.lean.js
rename to dev/assets/source_transformations_correction_closed_ring.md.Dd17xmiZ.lean.js
index 0d950e81f..c66cca577 100644
--- a/dev/assets/source_transformations_correction_closed_ring.md.DWFgEYUs.lean.js
+++ b/dev/assets/source_transformations_correction_closed_ring.md.Dd17xmiZ.lean.js
@@ -1,4 +1,4 @@
-import{_ as l,c as a,a5 as n,j as i,a as t,o as e}from"./chunks/framework.O43fB7X6.js";const m=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),h={name:"source/transformations/correction/closed_ring.md"},p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"};function d(g,s,c,E,y,u){return e(),a("div",null,[s[7]||(s[7]=n(`<h1 id="Closed-Rings" tabindex="-1">Closed Rings <a class="header-anchor" href="#Closed-Rings" aria-label="Permalink to &quot;Closed Rings {#Closed-Rings}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ClosedRing</span></span></code></pre></div><p>A closed ring is a ring that has the same start and end point. This is a requirement for a valid polygon (technically, for a valid LinearRing). This correction is used to ensure that the polygon is valid.</p><p>The reason this operates on the polygon level is that several packages are loose about whether they return LinearRings (which is correct) or LineStrings (which is incorrect) for the contents of a polygon. Therefore, we decompose manually to ensure correctness.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>Many polygon providers do not close their polygons, which makes them invalid according to the specification. Quite a few geometry algorithms assume that polygons are closed, and leaving them open can lead to incorrect results!</p><p>For example, the following polygon is not valid:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as l,c as a,a5 as n,j as i,a as t,o as e}from"./chunks/framework.B_n_RGhH.js";const m=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),h={name:"source/transformations/correction/closed_ring.md"},p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"};function d(g,s,c,E,y,u){return e(),a("div",null,[s[7]||(s[7]=n(`<h1 id="Closed-Rings" tabindex="-1">Closed Rings <a class="header-anchor" href="#Closed-Rings" aria-label="Permalink to &quot;Closed Rings {#Closed-Rings}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ClosedRing</span></span></code></pre></div><p>A closed ring is a ring that has the same start and end point. This is a requirement for a valid polygon (technically, for a valid LinearRing). This correction is used to ensure that the polygon is valid.</p><p>The reason this operates on the polygon level is that several packages are loose about whether they return LinearRings (which is correct) or LineStrings (which is incorrect) for the contents of a polygon. Therefore, we decompose manually to ensure correctness.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>Many polygon providers do not close their polygons, which makes them invalid according to the specification. Quite a few geometry algorithms assume that polygons are closed, and leaving them open can lead to incorrect results!</p><p>For example, the following polygon is not valid:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([[(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}([(0, 0), (1, 0), (1, 1), (0, 1)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>even though it will look correct when visualized, and indeed appears correct.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">fix</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(polygon, corrections </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">ClosedRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (1.0, 0.0), (1.0, 1.0), (0.0, 1.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div>`,12)),i("p",null,[s[4]||(s[4]=t("You can see that the last point of the ring here is equal to the first point. For a polygon with ")),i("mjx-container",p,[(e(),a("svg",k,s[0]||(s[0]=[i("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[i("g",{"data-mml-node":"math"},[i("g",{"data-mml-node":"mi"},[i("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"n")])],-1))]),s[5]||(s[5]=t(" sides, there should be ")),i("mjx-container",r,[(e(),a("svg",o,s[2]||(s[2]=[n('<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z" style="stroke-width:3;"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z" style="stroke-width:3;"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" style="stroke-width:3;"></path></g></g></g>',1)]))),s[3]||(s[3]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"n"),i("mo",null,"+"),i("mn",null,"1")])],-1))]),s[6]||(s[6]=t(" vertices."))]),s[8]||(s[8]=n(`<h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    ClosedRing() &lt;: GeometryCorrection</span></span>
diff --git a/dev/assets/source_transformations_correction_geometry_correction.md.BXPDjswt.js b/dev/assets/source_transformations_correction_geometry_correction.md.DE69CO9L.js
similarity index 99%
rename from dev/assets/source_transformations_correction_geometry_correction.md.BXPDjswt.js
rename to dev/assets/source_transformations_correction_geometry_correction.md.DE69CO9L.js
index ade47ac62..09f7779bb 100644
--- a/dev/assets/source_transformations_correction_geometry_correction.md.BXPDjswt.js
+++ b/dev/assets/source_transformations_correction_geometry_correction.md.DE69CO9L.js
@@ -1,4 +1,4 @@
-import{_ as r,c as o,a5 as e,j as i,a as t,G as n,B as l,o as p}from"./chunks/framework.O43fB7X6.js";const G=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),h={name:"source/transformations/correction/geometry_correction.md"},c={class:"jldocstring custom-block",open:""},k={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,F,C,b){const a=l("Badge");return p(),o("div",null,[s[15]||(s[15]=e('<h1 id="Geometry-Corrections" tabindex="-1">Geometry Corrections <a class="header-anchor" href="#Geometry-Corrections" aria-label="Permalink to &quot;Geometry Corrections {#Geometry-Corrections}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> fix</span></span></code></pre></div><p>This file simply defines the <code>GeometryCorrection</code> abstract type, and the interface that any <code>GeometryCorrection</code> must implement.</p><p>A geometry correction is a transformation that is applied to a geometry to correct it in some way.</p><p>For example, a <code>ClosedRing</code> correction might be applied to a <code>Polygon</code> to ensure that its exterior ring is closed.</p><h2 id="interface" tabindex="-1">Interface <a class="header-anchor" href="#interface" aria-label="Permalink to &quot;Interface&quot;">​</a></h2><p>All <code>GeometryCorrection</code>s are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).</p><p>See below for the full interface specification.</p>',8)),i("details",c,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[1]||(s[1]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[2]||(s[2]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p>',10))]),s[16]||(s[16]=e(`<p>Any geometry correction must implement the interface as given above.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as r,c as o,a5 as e,j as i,a as t,G as n,B as l,o as p}from"./chunks/framework.B_n_RGhH.js";const G=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),h={name:"source/transformations/correction/geometry_correction.md"},c={class:"jldocstring custom-block",open:""},k={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,F,C,b){const a=l("Badge");return p(),o("div",null,[s[15]||(s[15]=e('<h1 id="Geometry-Corrections" tabindex="-1">Geometry Corrections <a class="header-anchor" href="#Geometry-Corrections" aria-label="Permalink to &quot;Geometry Corrections {#Geometry-Corrections}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> fix</span></span></code></pre></div><p>This file simply defines the <code>GeometryCorrection</code> abstract type, and the interface that any <code>GeometryCorrection</code> must implement.</p><p>A geometry correction is a transformation that is applied to a geometry to correct it in some way.</p><p>For example, a <code>ClosedRing</code> correction might be applied to a <code>Polygon</code> to ensure that its exterior ring is closed.</p><h2 id="interface" tabindex="-1">Interface <a class="header-anchor" href="#interface" aria-label="Permalink to &quot;Interface&quot;">​</a></h2><p>All <code>GeometryCorrection</code>s are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).</p><p>See below for the full interface specification.</p>',8)),i("details",c,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[1]||(s[1]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[2]||(s[2]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p>',10))]),s[16]||(s[16]=e(`<p>Any geometry correction must implement the interface as given above.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    abstract type GeometryCorrection</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">This abstract type represents a geometry correction.</span></span>
diff --git a/dev/assets/source_transformations_correction_geometry_correction.md.BXPDjswt.lean.js b/dev/assets/source_transformations_correction_geometry_correction.md.DE69CO9L.lean.js
similarity index 99%
rename from dev/assets/source_transformations_correction_geometry_correction.md.BXPDjswt.lean.js
rename to dev/assets/source_transformations_correction_geometry_correction.md.DE69CO9L.lean.js
index ade47ac62..09f7779bb 100644
--- a/dev/assets/source_transformations_correction_geometry_correction.md.BXPDjswt.lean.js
+++ b/dev/assets/source_transformations_correction_geometry_correction.md.DE69CO9L.lean.js
@@ -1,4 +1,4 @@
-import{_ as r,c as o,a5 as e,j as i,a as t,G as n,B as l,o as p}from"./chunks/framework.O43fB7X6.js";const G=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),h={name:"source/transformations/correction/geometry_correction.md"},c={class:"jldocstring custom-block",open:""},k={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,F,C,b){const a=l("Badge");return p(),o("div",null,[s[15]||(s[15]=e('<h1 id="Geometry-Corrections" tabindex="-1">Geometry Corrections <a class="header-anchor" href="#Geometry-Corrections" aria-label="Permalink to &quot;Geometry Corrections {#Geometry-Corrections}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> fix</span></span></code></pre></div><p>This file simply defines the <code>GeometryCorrection</code> abstract type, and the interface that any <code>GeometryCorrection</code> must implement.</p><p>A geometry correction is a transformation that is applied to a geometry to correct it in some way.</p><p>For example, a <code>ClosedRing</code> correction might be applied to a <code>Polygon</code> to ensure that its exterior ring is closed.</p><h2 id="interface" tabindex="-1">Interface <a class="header-anchor" href="#interface" aria-label="Permalink to &quot;Interface&quot;">​</a></h2><p>All <code>GeometryCorrection</code>s are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).</p><p>See below for the full interface specification.</p>',8)),i("details",c,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[1]||(s[1]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[2]||(s[2]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p>',10))]),s[16]||(s[16]=e(`<p>Any geometry correction must implement the interface as given above.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as r,c as o,a5 as e,j as i,a as t,G as n,B as l,o as p}from"./chunks/framework.B_n_RGhH.js";const G=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),h={name:"source/transformations/correction/geometry_correction.md"},c={class:"jldocstring custom-block",open:""},k={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,F,C,b){const a=l("Badge");return p(),o("div",null,[s[15]||(s[15]=e('<h1 id="Geometry-Corrections" tabindex="-1">Geometry Corrections <a class="header-anchor" href="#Geometry-Corrections" aria-label="Permalink to &quot;Geometry Corrections {#Geometry-Corrections}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> fix</span></span></code></pre></div><p>This file simply defines the <code>GeometryCorrection</code> abstract type, and the interface that any <code>GeometryCorrection</code> must implement.</p><p>A geometry correction is a transformation that is applied to a geometry to correct it in some way.</p><p>For example, a <code>ClosedRing</code> correction might be applied to a <code>Polygon</code> to ensure that its exterior ring is closed.</p><h2 id="interface" tabindex="-1">Interface <a class="header-anchor" href="#interface" aria-label="Permalink to &quot;Interface&quot;">​</a></h2><p>All <code>GeometryCorrection</code>s are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).</p><p>See below for the full interface specification.</p>',8)),i("details",c,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[1]||(s[1]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[2]||(s[2]=e('<div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p>',10))]),s[16]||(s[16]=e(`<p>Any geometry correction must implement the interface as given above.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    abstract type GeometryCorrection</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">This abstract type represents a geometry correction.</span></span>
diff --git a/dev/assets/source_transformations_correction_intersecting_polygons.md.CQInphCg.js b/dev/assets/source_transformations_correction_intersecting_polygons.md.CFkNbc53.js
similarity index 99%
rename from dev/assets/source_transformations_correction_intersecting_polygons.md.CQInphCg.js
rename to dev/assets/source_transformations_correction_intersecting_polygons.md.CFkNbc53.js
index f426b99a3..e13ddaa54 100644
--- a/dev/assets/source_transformations_correction_intersecting_polygons.md.CQInphCg.js
+++ b/dev/assets/source_transformations_correction_intersecting_polygons.md.CFkNbc53.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),t={name:"source/transformations/correction/intersecting_polygons.md"};function h(p,s,e,k,r,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Intersecting-Polygons" tabindex="-1">Intersecting Polygons <a class="header-anchor" href="#Intersecting-Polygons" aria-label="Permalink to &quot;Intersecting Polygons {#Intersecting-Polygons}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> UnionIntersectingPolygons</span></span></code></pre></div><p>If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirement for a valid multipolygon. However, different libraries may achieve this in different ways.</p><p>For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the <code>UnionIntersectingPolygons</code> correction.</p><p>The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon&#39;s that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.</p><p>For example, the following multipolygon is not valid:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),t={name:"source/transformations/correction/intersecting_polygons.md"};function h(p,s,e,k,r,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Intersecting-Polygons" tabindex="-1">Intersecting Polygons <a class="header-anchor" href="#Intersecting-Polygons" aria-label="Permalink to &quot;Intersecting Polygons {#Intersecting-Polygons}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> UnionIntersectingPolygons</span></span></code></pre></div><p>If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirement for a valid multipolygon. However, different libraries may achieve this in different ways.</p><p>For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the <code>UnionIntersectingPolygons</code> correction.</p><p>The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon&#39;s that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.</p><p>For example, the following multipolygon is not valid:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([[(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">multipolygon </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MultiPolygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([polygon, polygon])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.MultiPolygon{false, false, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing), GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>given that the two sub-polygons are the exact same shape.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">fix</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(multipolygon, corrections </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">UnionIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.MultiPolygon{false, false, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.</p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
diff --git a/dev/assets/source_transformations_correction_intersecting_polygons.md.CQInphCg.lean.js b/dev/assets/source_transformations_correction_intersecting_polygons.md.CFkNbc53.lean.js
similarity index 99%
rename from dev/assets/source_transformations_correction_intersecting_polygons.md.CQInphCg.lean.js
rename to dev/assets/source_transformations_correction_intersecting_polygons.md.CFkNbc53.lean.js
index f426b99a3..e13ddaa54 100644
--- a/dev/assets/source_transformations_correction_intersecting_polygons.md.CQInphCg.lean.js
+++ b/dev/assets/source_transformations_correction_intersecting_polygons.md.CFkNbc53.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),t={name:"source/transformations/correction/intersecting_polygons.md"};function h(p,s,e,k,r,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Intersecting-Polygons" tabindex="-1">Intersecting Polygons <a class="header-anchor" href="#Intersecting-Polygons" aria-label="Permalink to &quot;Intersecting Polygons {#Intersecting-Polygons}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> UnionIntersectingPolygons</span></span></code></pre></div><p>If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirement for a valid multipolygon. However, different libraries may achieve this in different ways.</p><p>For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the <code>UnionIntersectingPolygons</code> correction.</p><p>The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon&#39;s that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.</p><p>For example, the following multipolygon is not valid:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),t={name:"source/transformations/correction/intersecting_polygons.md"};function h(p,s,e,k,r,g){return l(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Intersecting-Polygons" tabindex="-1">Intersecting Polygons <a class="header-anchor" href="#Intersecting-Polygons" aria-label="Permalink to &quot;Intersecting Polygons {#Intersecting-Polygons}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> UnionIntersectingPolygons</span></span></code></pre></div><p>If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirement for a valid multipolygon. However, different libraries may achieve this in different ways.</p><p>For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the <code>UnionIntersectingPolygons</code> correction.</p><p>The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon&#39;s that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.</p><h2 id="example" tabindex="-1">Example <a class="header-anchor" href="#example" aria-label="Permalink to &quot;Example&quot;">​</a></h2><p>Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.</p><p>For example, the following multipolygon is not valid:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([[(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">multipolygon </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MultiPolygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([polygon, polygon])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.MultiPolygon{false, false, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing), GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>given that the two sub-polygons are the exact same shape.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">fix</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(multipolygon, corrections </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">UnionIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.MultiPolygon{false, false, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.</p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
diff --git a/dev/assets/source_transformations_extent.md.DR8xvbQc.js b/dev/assets/source_transformations_extent.md.ThGs0SdP.js
similarity index 95%
rename from dev/assets/source_transformations_extent.md.DR8xvbQc.js
rename to dev/assets/source_transformations_extent.md.ThGs0SdP.js
index 3d247d93a..aecfeb391 100644
--- a/dev/assets/source_transformations_extent.md.DR8xvbQc.js
+++ b/dev/assets/source_transformations_extent.md.ThGs0SdP.js
@@ -1,4 +1,4 @@
-import{_ as e,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const k=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),i={name:"source/transformations/extent.md"};function l(p,s,r,h,d,o){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Extent-embedding" tabindex="-1">Extent embedding <a class="header-anchor" href="#Extent-embedding" aria-label="Permalink to &quot;Extent embedding {#Extent-embedding}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as e,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const k=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),i={name:"source/transformations/extent.md"};function l(p,s,r,h,d,o){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Extent-embedding" tabindex="-1">Extent embedding <a class="header-anchor" href="#Extent-embedding" aria-label="Permalink to &quot;Extent embedding {#Extent-embedding}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    embed_extent(obj)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Recursively wrap the object with a GeoInterface.jl geometry,</span></span>
diff --git a/dev/assets/source_transformations_extent.md.DR8xvbQc.lean.js b/dev/assets/source_transformations_extent.md.ThGs0SdP.lean.js
similarity index 95%
rename from dev/assets/source_transformations_extent.md.DR8xvbQc.lean.js
rename to dev/assets/source_transformations_extent.md.ThGs0SdP.lean.js
index 3d247d93a..aecfeb391 100644
--- a/dev/assets/source_transformations_extent.md.DR8xvbQc.lean.js
+++ b/dev/assets/source_transformations_extent.md.ThGs0SdP.lean.js
@@ -1,4 +1,4 @@
-import{_ as e,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const k=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),i={name:"source/transformations/extent.md"};function l(p,s,r,h,d,o){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Extent-embedding" tabindex="-1">Extent embedding <a class="header-anchor" href="#Extent-embedding" aria-label="Permalink to &quot;Extent embedding {#Extent-embedding}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as e,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const k=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),i={name:"source/transformations/extent.md"};function l(p,s,r,h,d,o){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Extent-embedding" tabindex="-1">Extent embedding <a class="header-anchor" href="#Extent-embedding" aria-label="Permalink to &quot;Extent embedding {#Extent-embedding}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    embed_extent(obj)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Recursively wrap the object with a GeoInterface.jl geometry,</span></span>
diff --git a/dev/assets/source_transformations_flip.md.CwXJrYBS.js b/dev/assets/source_transformations_flip.md.C7zLbbf9.js
similarity index 97%
rename from dev/assets/source_transformations_flip.md.CwXJrYBS.js
rename to dev/assets/source_transformations_flip.md.C7zLbbf9.js
index 3e6e6aa26..01dc4b532 100644
--- a/dev/assets/source_transformations_flip.md.CwXJrYBS.js
+++ b/dev/assets/source_transformations_flip.md.C7zLbbf9.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as p}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),t={name:"source/transformations/flip.md"};function l(h,s,e,k,r,d){return p(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Coordinate-flipping" tabindex="-1">Coordinate flipping <a class="header-anchor" href="#Coordinate-flipping" aria-label="Permalink to &quot;Coordinate flipping {#Coordinate-flipping}&quot;">​</a></h1><p>This is a simple example of how to use the <code>apply</code> functionality in a function, by flipping the x and y coordinates of a geometry.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as p}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),t={name:"source/transformations/flip.md"};function l(h,s,e,k,r,d){return p(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Coordinate-flipping" tabindex="-1">Coordinate flipping <a class="header-anchor" href="#Coordinate-flipping" aria-label="Permalink to &quot;Coordinate flipping {#Coordinate-flipping}&quot;">​</a></h1><p>This is a simple example of how to use the <code>apply</code> functionality in a function, by flipping the x and y coordinates of a geometry.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    flip(obj)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Swap all of the x and y coordinates in obj, otherwise</span></span>
diff --git a/dev/assets/source_transformations_flip.md.CwXJrYBS.lean.js b/dev/assets/source_transformations_flip.md.C7zLbbf9.lean.js
similarity index 97%
rename from dev/assets/source_transformations_flip.md.CwXJrYBS.lean.js
rename to dev/assets/source_transformations_flip.md.C7zLbbf9.lean.js
index 3e6e6aa26..01dc4b532 100644
--- a/dev/assets/source_transformations_flip.md.CwXJrYBS.lean.js
+++ b/dev/assets/source_transformations_flip.md.C7zLbbf9.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as p}from"./chunks/framework.O43fB7X6.js";const g=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),t={name:"source/transformations/flip.md"};function l(h,s,e,k,r,d){return p(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Coordinate-flipping" tabindex="-1">Coordinate flipping <a class="header-anchor" href="#Coordinate-flipping" aria-label="Permalink to &quot;Coordinate flipping {#Coordinate-flipping}&quot;">​</a></h1><p>This is a simple example of how to use the <code>apply</code> functionality in a function, by flipping the x and y coordinates of a geometry.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as p}from"./chunks/framework.B_n_RGhH.js";const g=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),t={name:"source/transformations/flip.md"};function l(h,s,e,k,r,d){return p(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Coordinate-flipping" tabindex="-1">Coordinate flipping <a class="header-anchor" href="#Coordinate-flipping" aria-label="Permalink to &quot;Coordinate flipping {#Coordinate-flipping}&quot;">​</a></h1><p>This is a simple example of how to use the <code>apply</code> functionality in a function, by flipping the x and y coordinates of a geometry.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    flip(obj)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Swap all of the x and y coordinates in obj, otherwise</span></span>
diff --git a/dev/assets/source_transformations_reproject.md.DDeoCapS.js b/dev/assets/source_transformations_reproject.md.BkVaiWF-.js
similarity index 98%
rename from dev/assets/source_transformations_reproject.md.DDeoCapS.js
rename to dev/assets/source_transformations_reproject.md.BkVaiWF-.js
index 2128f61bb..7b775a4af 100644
--- a/dev/assets/source_transformations_reproject.md.DDeoCapS.js
+++ b/dev/assets/source_transformations_reproject.md.BkVaiWF-.js
@@ -1 +1 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),t={name:"source/transformations/reproject.md"};function p(l,s,r,h,k,o){return n(),a("div",null,s[0]||(s[0]=[e('<h1 id="Geometry-reprojection" tabindex="-1">Geometry reprojection <a class="header-anchor" href="#Geometry-reprojection" aria-label="Permalink to &quot;Geometry reprojection {#Geometry-reprojection}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject</span></span></code></pre></div><p>This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the <code>Proj</code> package for the transformation, but this could be moved to an extension if needed.</p><p>Note that the actual implementation is in the <code>GeometryOpsProjExt</code> extension module.</p><p>This works using the <code>apply</code> functionality.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry; source_crs, target_crs, transform, always_xy, time)</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry, source_crs, target_crs; always_xy, time)</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry, transform; always_xy, time)</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Reproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">The returned object will be constructed from `GeoInterface.WrapperGeometry`</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">geometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">!!! tip</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    The `Proj.jl` package must be loaded for this method to work,</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    since it is implemented in a package extension.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"># Arguments</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `geometry`: Any GeoInterface.jl compatible geometries.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `source_crs`: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `target_crs`: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">If these a passed as keywords, `transform` will take priority.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Without it `target_crs` is always needed, and `source_crs` is</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">needed if it is not retrievable from the geometry with `GeoInterface.crs(geometry)`.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"># Keywords</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `always_xy`: force x, y coordinate order, `true` by default.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    `false` will expect and return points in the crs coordinate order.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `time`: the time for the coordinates. `Inf` by default.</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$APPLY_KEYWORDS</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><h2 id="Method-error-handling" tabindex="-1">Method error handling <a class="header-anchor" href="#Method-error-handling" aria-label="Permalink to &quot;Method error handling {#Method-error-handling}&quot;">​</a></h2><p>We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _reproject_error_hinter</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, exc, argtypes, kwargs)</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isnothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Base</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">get_extension</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GeometryOps, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:GeometryOpsProjExt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> exc</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        print</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">The `reproject` method requires the Proj.jl package to be explicitly loaded.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        print</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;You can do this by simply typing &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        printstyled</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;using Proj&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :cyan</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, bold </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        println</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot; in your REPL, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">or otherwise loading Proj.jl via using or import.&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # this is a more general error</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        nothing</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>',11)]))}const g=i(t,[["render",p]]);export{c as __pageData,g as default};
+import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),t={name:"source/transformations/reproject.md"};function p(l,s,r,h,k,o){return n(),a("div",null,s[0]||(s[0]=[e('<h1 id="Geometry-reprojection" tabindex="-1">Geometry reprojection <a class="header-anchor" href="#Geometry-reprojection" aria-label="Permalink to &quot;Geometry reprojection {#Geometry-reprojection}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject</span></span></code></pre></div><p>This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the <code>Proj</code> package for the transformation, but this could be moved to an extension if needed.</p><p>Note that the actual implementation is in the <code>GeometryOpsProjExt</code> extension module.</p><p>This works using the <code>apply</code> functionality.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry; source_crs, target_crs, transform, always_xy, time)</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry, source_crs, target_crs; always_xy, time)</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry, transform; always_xy, time)</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Reproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">The returned object will be constructed from `GeoInterface.WrapperGeometry`</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">geometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">!!! tip</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    The `Proj.jl` package must be loaded for this method to work,</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    since it is implemented in a package extension.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"># Arguments</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `geometry`: Any GeoInterface.jl compatible geometries.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `source_crs`: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `target_crs`: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">If these a passed as keywords, `transform` will take priority.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Without it `target_crs` is always needed, and `source_crs` is</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">needed if it is not retrievable from the geometry with `GeoInterface.crs(geometry)`.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"># Keywords</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `always_xy`: force x, y coordinate order, `true` by default.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    `false` will expect and return points in the crs coordinate order.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `time`: the time for the coordinates. `Inf` by default.</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$APPLY_KEYWORDS</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><h2 id="Method-error-handling" tabindex="-1">Method error handling <a class="header-anchor" href="#Method-error-handling" aria-label="Permalink to &quot;Method error handling {#Method-error-handling}&quot;">​</a></h2><p>We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _reproject_error_hinter</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, exc, argtypes, kwargs)</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isnothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Base</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">get_extension</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GeometryOps, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:GeometryOpsProjExt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> exc</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        print</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">The `reproject` method requires the Proj.jl package to be explicitly loaded.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        print</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;You can do this by simply typing &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        printstyled</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;using Proj&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :cyan</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, bold </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        println</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot; in your REPL, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">or otherwise loading Proj.jl via using or import.&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # this is a more general error</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        nothing</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>',11)]))}const g=i(t,[["render",p]]);export{c as __pageData,g as default};
diff --git a/dev/assets/source_transformations_reproject.md.DDeoCapS.lean.js b/dev/assets/source_transformations_reproject.md.BkVaiWF-.lean.js
similarity index 98%
rename from dev/assets/source_transformations_reproject.md.DDeoCapS.lean.js
rename to dev/assets/source_transformations_reproject.md.BkVaiWF-.lean.js
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@@ -1 +1 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.O43fB7X6.js";const c=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),t={name:"source/transformations/reproject.md"};function p(l,s,r,h,k,o){return n(),a("div",null,s[0]||(s[0]=[e('<h1 id="Geometry-reprojection" tabindex="-1">Geometry reprojection <a class="header-anchor" href="#Geometry-reprojection" aria-label="Permalink to &quot;Geometry reprojection {#Geometry-reprojection}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject</span></span></code></pre></div><p>This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the <code>Proj</code> package for the transformation, but this could be moved to an extension if needed.</p><p>Note that the actual implementation is in the <code>GeometryOpsProjExt</code> extension module.</p><p>This works using the <code>apply</code> functionality.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry; source_crs, target_crs, transform, always_xy, time)</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry, source_crs, target_crs; always_xy, time)</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry, transform; always_xy, time)</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Reproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">The returned object will be constructed from `GeoInterface.WrapperGeometry`</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">geometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">!!! tip</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    The `Proj.jl` package must be loaded for this method to work,</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    since it is implemented in a package extension.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"># Arguments</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `geometry`: Any GeoInterface.jl compatible geometries.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `source_crs`: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `target_crs`: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">If these a passed as keywords, `transform` will take priority.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Without it `target_crs` is always needed, and `source_crs` is</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">needed if it is not retrievable from the geometry with `GeoInterface.crs(geometry)`.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"># Keywords</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `always_xy`: force x, y coordinate order, `true` by default.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    `false` will expect and return points in the crs coordinate order.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `time`: the time for the coordinates. `Inf` by default.</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$APPLY_KEYWORDS</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><h2 id="Method-error-handling" tabindex="-1">Method error handling <a class="header-anchor" href="#Method-error-handling" aria-label="Permalink to &quot;Method error handling {#Method-error-handling}&quot;">​</a></h2><p>We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _reproject_error_hinter</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, exc, argtypes, kwargs)</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isnothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Base</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">get_extension</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GeometryOps, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:GeometryOpsProjExt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> exc</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        print</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">The `reproject` method requires the Proj.jl package to be explicitly loaded.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        print</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;You can do this by simply typing &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        printstyled</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;using Proj&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :cyan</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, bold </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        println</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot; in your REPL, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">or otherwise loading Proj.jl via using or import.&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # this is a more general error</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        nothing</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>',11)]))}const g=i(t,[["render",p]]);export{c as __pageData,g as default};
+import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.B_n_RGhH.js";const c=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),t={name:"source/transformations/reproject.md"};function p(l,s,r,h,k,o){return n(),a("div",null,s[0]||(s[0]=[e('<h1 id="Geometry-reprojection" tabindex="-1">Geometry reprojection <a class="header-anchor" href="#Geometry-reprojection" aria-label="Permalink to &quot;Geometry reprojection {#Geometry-reprojection}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject</span></span></code></pre></div><p>This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the <code>Proj</code> package for the transformation, but this could be moved to an extension if needed.</p><p>Note that the actual implementation is in the <code>GeometryOpsProjExt</code> extension module.</p><p>This works using the <code>apply</code> functionality.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry; source_crs, target_crs, transform, always_xy, time)</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry, source_crs, target_crs; always_xy, time)</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    reproject(geometry, transform; always_xy, time)</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Reproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">The returned object will be constructed from `GeoInterface.WrapperGeometry`</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">geometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">!!! tip</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    The `Proj.jl` package must be loaded for this method to work,</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    since it is implemented in a package extension.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"># Arguments</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `geometry`: Any GeoInterface.jl compatible geometries.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `source_crs`: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `target_crs`: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">If these a passed as keywords, `transform` will take priority.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Without it `target_crs` is always needed, and `source_crs` is</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">needed if it is not retrievable from the geometry with `GeoInterface.crs(geometry)`.</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"># Keywords</span></span>\n<span class="line"></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `always_xy`: force x, y coordinate order, `true` by default.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    `false` will expect and return points in the crs coordinate order.</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">- `time`: the time for the coordinates. `Inf` by default.</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$APPLY_KEYWORDS</span></span>\n<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><h2 id="Method-error-handling" tabindex="-1">Method error handling <a class="header-anchor" href="#Method-error-handling" aria-label="Permalink to &quot;Method error handling {#Method-error-handling}&quot;">​</a></h2><p>We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _reproject_error_hinter</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, exc, argtypes, kwargs)</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    if</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> isnothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Base</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">get_extension</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GeometryOps, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:GeometryOpsProjExt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> exc</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> reproject</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        print</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">The `reproject` method requires the Proj.jl package to be explicitly loaded.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        print</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;You can do this by simply typing &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        printstyled</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;using Proj&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :cyan</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, bold </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        println</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot; in your REPL, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">or otherwise loading Proj.jl via using or import.&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # this is a more general error</span></span>\n<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        nothing</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>\n<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p>',11)]))}const g=i(t,[["render",p]]);export{c as __pageData,g as default};
diff --git a/dev/assets/source_transformations_segmentize.md.CxlHC2Gx.js b/dev/assets/source_transformations_segmentize.md.wXWOTiiN.js
similarity index 99%
rename from dev/assets/source_transformations_segmentize.md.CxlHC2Gx.js
rename to dev/assets/source_transformations_segmentize.md.wXWOTiiN.js
index ccddd69b8..366dd63e8 100644
--- a/dev/assets/source_transformations_segmentize.md.CxlHC2Gx.js
+++ b/dev/assets/source_transformations_segmentize.md.wXWOTiiN.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/qhvcraa.D5-bot8v.png",l="/GeometryOps.jl/dev/assets/qvxoffb.B4GCyiuv.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"};function k(p,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="segmentize" tabindex="-1">Segmentize <a class="header-anchor" href="#segmentize" aria-label="Permalink to &quot;Segmentize&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> segmentize</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/peiypkn.D5-bot8v.png",l="/GeometryOps.jl/dev/assets/drwzysr.DHnfiHhT.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"};function k(p,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="segmentize" tabindex="-1">Segmentize <a class="header-anchor" href="#segmentize" aria-label="Permalink to &quot;Segmentize&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> segmentize</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LinearSegments, GeodesicSegments</span></span></code></pre></div><p>This function &quot;segmentizes&quot; or &quot;densifies&quot; a geometry by adding extra vertices to the geometry so that no segment is longer than a given distance. This is useful for plotting geometries with a limited number of vertices, or for ensuring that a geometry is not too &quot;coarse&quot; for a given application.</p><div class="tip custom-block"><p class="custom-block-title">Info</p><p>We plan to add interpolated segmentization from DataInterpolations.jl in the future, which will be available to any vector of point-like objects.</p><p>For now, this function only works on 2D geometries. We will also support 3D geometries, as well as measure interpolation, in the future.</p></div><h2 id="examples" tabindex="-1">Examples <a class="header-anchor" href="#examples" aria-label="Permalink to &quot;Examples&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">rectangle </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Wrappers</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([[(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">50.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7.071</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">57.07</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">64.14</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7.07</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">57.07</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">50.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">linear </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">segmentize</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rectangle; max_distance </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
diff --git a/dev/assets/source_transformations_segmentize.md.CxlHC2Gx.lean.js b/dev/assets/source_transformations_segmentize.md.wXWOTiiN.lean.js
similarity index 99%
rename from dev/assets/source_transformations_segmentize.md.CxlHC2Gx.lean.js
rename to dev/assets/source_transformations_segmentize.md.wXWOTiiN.lean.js
index ccddd69b8..366dd63e8 100644
--- a/dev/assets/source_transformations_segmentize.md.CxlHC2Gx.lean.js
+++ b/dev/assets/source_transformations_segmentize.md.wXWOTiiN.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/qhvcraa.D5-bot8v.png",l="/GeometryOps.jl/dev/assets/qvxoffb.B4GCyiuv.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"};function k(p,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="segmentize" tabindex="-1">Segmentize <a class="header-anchor" href="#segmentize" aria-label="Permalink to &quot;Segmentize&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> segmentize</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/peiypkn.D5-bot8v.png",l="/GeometryOps.jl/dev/assets/drwzysr.DHnfiHhT.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"};function k(p,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="segmentize" tabindex="-1">Segmentize <a class="header-anchor" href="#segmentize" aria-label="Permalink to &quot;Segmentize&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> segmentize</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LinearSegments, GeodesicSegments</span></span></code></pre></div><p>This function &quot;segmentizes&quot; or &quot;densifies&quot; a geometry by adding extra vertices to the geometry so that no segment is longer than a given distance. This is useful for plotting geometries with a limited number of vertices, or for ensuring that a geometry is not too &quot;coarse&quot; for a given application.</p><div class="tip custom-block"><p class="custom-block-title">Info</p><p>We plan to add interpolated segmentization from DataInterpolations.jl in the future, which will be available to any vector of point-like objects.</p><p>For now, this function only works on 2D geometries. We will also support 3D geometries, as well as measure interpolation, in the future.</p></div><h2 id="examples" tabindex="-1">Examples <a class="header-anchor" href="#examples" aria-label="Permalink to &quot;Examples&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">rectangle </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Wrappers</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([[(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">50.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7.071</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">57.07</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">64.14</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7.07</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">57.07</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">50.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">linear </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">segmentize</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rectangle; max_distance </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
diff --git a/dev/assets/source_transformations_simplify.md.B-TTeZcj.js b/dev/assets/source_transformations_simplify.md.D_r3vfXj.js
similarity index 99%
rename from dev/assets/source_transformations_simplify.md.B-TTeZcj.js
rename to dev/assets/source_transformations_simplify.md.D_r3vfXj.js
index d7cfa7bd8..63c91894d 100644
--- a/dev/assets/source_transformations_simplify.md.B-TTeZcj.js
+++ b/dev/assets/source_transformations_simplify.md.D_r3vfXj.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const l="/GeometryOps.jl/dev/assets/pupvizg.Bglvb-jp.png",k="/GeometryOps.jl/dev/assets/vygiwkc.B94PsR1K.png",t="/GeometryOps.jl/dev/assets/zsadsyt.eBFFCdzW.png",p="/GeometryOps.jl/dev/assets/tqkcbnu.Sawrgm2c.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geometry-simplification" tabindex="-1">Geometry simplification <a class="header-anchor" href="#Geometry-simplification" aria-label="Permalink to &quot;Geometry simplification {#Geometry-simplification}&quot;">​</a></h1><p>This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).</p><p>The GEOS extension also allows for GEOS&#39;s topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing <code>GEOS(; method = :TopologyPreserve)</code> or <code>GEOS(; method = :DouglasPeucker)</code> to the algorithm.</p><h2 id="examples" tabindex="-1">Examples <a class="header-anchor" href="#examples" aria-label="Permalink to &quot;Examples&quot;">​</a></h2><p>A quick and dirty example is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie, GeoInterfaceMakie</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/aplmaug.Bglvb-jp.png",k="/GeometryOps.jl/dev/assets/bqfrspk.B94PsR1K.png",t="/GeometryOps.jl/dev/assets/xeckrgt.B387vho3.png",p="/GeometryOps.jl/dev/assets/qwcxfje.B3lHbAIs.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geometry-simplification" tabindex="-1">Geometry simplification <a class="header-anchor" href="#Geometry-simplification" aria-label="Permalink to &quot;Geometry simplification {#Geometry-simplification}&quot;">​</a></h1><p>This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).</p><p>The GEOS extension also allows for GEOS&#39;s topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing <code>GEOS(; method = :TopologyPreserve)</code> or <code>GEOS(; method = :DouglasPeucker)</code> to the algorithm.</p><h2 id="examples" tabindex="-1">Examples <a class="header-anchor" href="#examples" aria-label="Permalink to &quot;Examples&quot;">​</a></h2><p>A quick and dirty example is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie, GeoInterfaceMakie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_transformations_simplify.md.B-TTeZcj.lean.js b/dev/assets/source_transformations_simplify.md.D_r3vfXj.lean.js
similarity index 99%
rename from dev/assets/source_transformations_simplify.md.B-TTeZcj.lean.js
rename to dev/assets/source_transformations_simplify.md.D_r3vfXj.lean.js
index d7cfa7bd8..63c91894d 100644
--- a/dev/assets/source_transformations_simplify.md.B-TTeZcj.lean.js
+++ b/dev/assets/source_transformations_simplify.md.D_r3vfXj.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const l="/GeometryOps.jl/dev/assets/pupvizg.Bglvb-jp.png",k="/GeometryOps.jl/dev/assets/vygiwkc.B94PsR1K.png",t="/GeometryOps.jl/dev/assets/zsadsyt.eBFFCdzW.png",p="/GeometryOps.jl/dev/assets/tqkcbnu.Sawrgm2c.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geometry-simplification" tabindex="-1">Geometry simplification <a class="header-anchor" href="#Geometry-simplification" aria-label="Permalink to &quot;Geometry simplification {#Geometry-simplification}&quot;">​</a></h1><p>This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).</p><p>The GEOS extension also allows for GEOS&#39;s topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing <code>GEOS(; method = :TopologyPreserve)</code> or <code>GEOS(; method = :DouglasPeucker)</code> to the algorithm.</p><h2 id="examples" tabindex="-1">Examples <a class="header-anchor" href="#examples" aria-label="Permalink to &quot;Examples&quot;">​</a></h2><p>A quick and dirty example is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie, GeoInterfaceMakie</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const l="/GeometryOps.jl/dev/assets/aplmaug.Bglvb-jp.png",k="/GeometryOps.jl/dev/assets/bqfrspk.B94PsR1K.png",t="/GeometryOps.jl/dev/assets/xeckrgt.B387vho3.png",p="/GeometryOps.jl/dev/assets/qwcxfje.B3lHbAIs.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geometry-simplification" tabindex="-1">Geometry simplification <a class="header-anchor" href="#Geometry-simplification" aria-label="Permalink to &quot;Geometry simplification {#Geometry-simplification}&quot;">​</a></h1><p>This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).</p><p>The GEOS extension also allows for GEOS&#39;s topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing <code>GEOS(; method = :TopologyPreserve)</code> or <code>GEOS(; method = :DouglasPeucker)</code> to the algorithm.</p><h2 id="examples" tabindex="-1">Examples <a class="header-anchor" href="#examples" aria-label="Permalink to &quot;Examples&quot;">​</a></h2><p>A quick and dirty example is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie, GeoInterfaceMakie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"></span>
diff --git a/dev/assets/source_transformations_transform.md.CM0vpoQb.js b/dev/assets/source_transformations_transform.md.BPmSBXwZ.js
similarity index 98%
rename from dev/assets/source_transformations_transform.md.CM0vpoQb.js
rename to dev/assets/source_transformations_transform.md.BPmSBXwZ.js
index 1ae2d9847..c91b793ea 100644
--- a/dev/assets/source_transformations_transform.md.CM0vpoQb.js
+++ b/dev/assets/source_transformations_transform.md.BPmSBXwZ.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const F=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),l={name:"source/transformations/transform.md"};function e(p,s,h,r,k,o){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Pointwise-transformation" tabindex="-1">Pointwise transformation <a class="header-anchor" href="#Pointwise-transformation" aria-label="Permalink to &quot;Pointwise transformation {#Pointwise-transformation}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const F=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),l={name:"source/transformations/transform.md"};function e(p,s,h,r,k,o){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Pointwise-transformation" tabindex="-1">Pointwise transformation <a class="header-anchor" href="#Pointwise-transformation" aria-label="Permalink to &quot;Pointwise transformation {#Pointwise-transformation}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    transform(f, obj)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Apply a function \`f\` to all the points in \`obj\`.</span></span>
diff --git a/dev/assets/source_transformations_transform.md.CM0vpoQb.lean.js b/dev/assets/source_transformations_transform.md.BPmSBXwZ.lean.js
similarity index 98%
rename from dev/assets/source_transformations_transform.md.CM0vpoQb.lean.js
rename to dev/assets/source_transformations_transform.md.BPmSBXwZ.lean.js
index 1ae2d9847..c91b793ea 100644
--- a/dev/assets/source_transformations_transform.md.CM0vpoQb.lean.js
+++ b/dev/assets/source_transformations_transform.md.BPmSBXwZ.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const F=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),l={name:"source/transformations/transform.md"};function e(p,s,h,r,k,o){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Pointwise-transformation" tabindex="-1">Pointwise transformation <a class="header-anchor" href="#Pointwise-transformation" aria-label="Permalink to &quot;Pointwise transformation {#Pointwise-transformation}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const F=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),l={name:"source/transformations/transform.md"};function e(p,s,h,r,k,o){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Pointwise-transformation" tabindex="-1">Pointwise transformation <a class="header-anchor" href="#Pointwise-transformation" aria-label="Permalink to &quot;Pointwise transformation {#Pointwise-transformation}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    transform(f, obj)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Apply a function \`f\` to all the points in \`obj\`.</span></span>
diff --git a/dev/assets/source_transformations_tuples.md.CMapxQhK.js b/dev/assets/source_transformations_tuples.md.CpU1coFs.js
similarity index 96%
rename from dev/assets/source_transformations_tuples.md.CMapxQhK.js
rename to dev/assets/source_transformations_tuples.md.CpU1coFs.js
index 11000cd47..cd86fadd0 100644
--- a/dev/assets/source_transformations_tuples.md.CMapxQhK.js
+++ b/dev/assets/source_transformations_tuples.md.CpU1coFs.js
@@ -1,4 +1,4 @@
-import{_ as a,c as n,a5 as i,o as e}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),t={name:"source/transformations/tuples.md"};function p(l,s,r,o,h,k){return e(),n("div",null,s[0]||(s[0]=[i(`<h1 id="Tuple-conversion" tabindex="-1">Tuple conversion <a class="header-anchor" href="#Tuple-conversion" aria-label="Permalink to &quot;Tuple conversion {#Tuple-conversion}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as a,c as n,a5 as i,o as e}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),t={name:"source/transformations/tuples.md"};function p(l,s,r,o,h,k){return e(),n("div",null,s[0]||(s[0]=[i(`<h1 id="Tuple-conversion" tabindex="-1">Tuple conversion <a class="header-anchor" href="#Tuple-conversion" aria-label="Permalink to &quot;Tuple conversion {#Tuple-conversion}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    tuples(obj)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Convert all points in \`obj\` to \`Tuple\`s, wherever the are nested.</span></span>
diff --git a/dev/assets/source_transformations_tuples.md.CMapxQhK.lean.js b/dev/assets/source_transformations_tuples.md.CpU1coFs.lean.js
similarity index 96%
rename from dev/assets/source_transformations_tuples.md.CMapxQhK.lean.js
rename to dev/assets/source_transformations_tuples.md.CpU1coFs.lean.js
index 11000cd47..cd86fadd0 100644
--- a/dev/assets/source_transformations_tuples.md.CMapxQhK.lean.js
+++ b/dev/assets/source_transformations_tuples.md.CpU1coFs.lean.js
@@ -1,4 +1,4 @@
-import{_ as a,c as n,a5 as i,o as e}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),t={name:"source/transformations/tuples.md"};function p(l,s,r,o,h,k){return e(),n("div",null,s[0]||(s[0]=[i(`<h1 id="Tuple-conversion" tabindex="-1">Tuple conversion <a class="header-anchor" href="#Tuple-conversion" aria-label="Permalink to &quot;Tuple conversion {#Tuple-conversion}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as a,c as n,a5 as i,o as e}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),t={name:"source/transformations/tuples.md"};function p(l,s,r,o,h,k){return e(),n("div",null,s[0]||(s[0]=[i(`<h1 id="Tuple-conversion" tabindex="-1">Tuple conversion <a class="header-anchor" href="#Tuple-conversion" aria-label="Permalink to &quot;Tuple conversion {#Tuple-conversion}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    tuples(obj)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Convert all points in \`obj\` to \`Tuple\`s, wherever the are nested.</span></span>
diff --git a/dev/assets/source_types.md.BYkUclBX.js b/dev/assets/source_types.md.CMxPFJNV.js
similarity index 98%
rename from dev/assets/source_types.md.BYkUclBX.js
rename to dev/assets/source_types.md.CMxPFJNV.js
index 0d0a72e4e..0355e08cf 100644
--- a/dev/assets/source_types.md.BYkUclBX.js
+++ b/dev/assets/source_types.md.CMxPFJNV.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"};function l(h,s,p,k,r,d){return e(),a("div",null,s[0]||(s[0]=[n(`<h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This file defines some fundamental types used in GeometryOps.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Unlike in other Julia packages, only some types are defined in this file, not all. This is because we define types in the files where they are used, to make it easier to understand the code.</p></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GEOS</span></span></code></pre></div><h2 id="GEOS" tabindex="-1"><code>GEOS</code> <a class="header-anchor" href="#GEOS" aria-label="Permalink to &quot;\`GEOS\` {#GEOS}&quot;">​</a></h2><p><code>GEOS</code> is a struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>It&#39;s generally a lot slower than the native Julia implementations, but it&#39;s useful for two reasons:</p><ol><li><p>Functionality which doesn&#39;t exist in GeometryOps can be accessed through the GeometryOps API, but use GEOS in the backend until someone implements a native Julia version.</p></li><li><p>It&#39;s a good way to test the correctness of the native implementations.</p></li></ol><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"};function l(h,s,p,k,r,d){return e(),a("div",null,s[0]||(s[0]=[n(`<h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This file defines some fundamental types used in GeometryOps.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Unlike in other Julia packages, only some types are defined in this file, not all. This is because we define types in the files where they are used, to make it easier to understand the code.</p></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GEOS</span></span></code></pre></div><h2 id="GEOS" tabindex="-1"><code>GEOS</code> <a class="header-anchor" href="#GEOS" aria-label="Permalink to &quot;\`GEOS\` {#GEOS}&quot;">​</a></h2><p><code>GEOS</code> is a struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>It&#39;s generally a lot slower than the native Julia implementations, but it&#39;s useful for two reasons:</p><ol><li><p>Functionality which doesn&#39;t exist in GeometryOps can be accessed through the GeometryOps API, but use GEOS in the backend until someone implements a native Julia version.</p></li><li><p>It&#39;s a good way to test the correctness of the native implementations.</p></li></ol><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    GEOS(; params...)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">A struct which instructs the method it&#39;s passed to as an algorithm</span></span>
diff --git a/dev/assets/source_types.md.BYkUclBX.lean.js b/dev/assets/source_types.md.CMxPFJNV.lean.js
similarity index 98%
rename from dev/assets/source_types.md.BYkUclBX.lean.js
rename to dev/assets/source_types.md.CMxPFJNV.lean.js
index 0d0a72e4e..0355e08cf 100644
--- a/dev/assets/source_types.md.BYkUclBX.lean.js
+++ b/dev/assets/source_types.md.CMxPFJNV.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.O43fB7X6.js";const E=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"};function l(h,s,p,k,r,d){return e(),a("div",null,s[0]||(s[0]=[n(`<h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This file defines some fundamental types used in GeometryOps.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Unlike in other Julia packages, only some types are defined in this file, not all. This is because we define types in the files where they are used, to make it easier to understand the code.</p></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GEOS</span></span></code></pre></div><h2 id="GEOS" tabindex="-1"><code>GEOS</code> <a class="header-anchor" href="#GEOS" aria-label="Permalink to &quot;\`GEOS\` {#GEOS}&quot;">​</a></h2><p><code>GEOS</code> is a struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>It&#39;s generally a lot slower than the native Julia implementations, but it&#39;s useful for two reasons:</p><ol><li><p>Functionality which doesn&#39;t exist in GeometryOps can be accessed through the GeometryOps API, but use GEOS in the backend until someone implements a native Julia version.</p></li><li><p>It&#39;s a good way to test the correctness of the native implementations.</p></li></ol><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.B_n_RGhH.js";const E=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"};function l(h,s,p,k,r,d){return e(),a("div",null,s[0]||(s[0]=[n(`<h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This file defines some fundamental types used in GeometryOps.</p><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>Unlike in other Julia packages, only some types are defined in this file, not all. This is because we define types in the files where they are used, to make it easier to understand the code.</p></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GEOS</span></span></code></pre></div><h2 id="GEOS" tabindex="-1"><code>GEOS</code> <a class="header-anchor" href="#GEOS" aria-label="Permalink to &quot;\`GEOS\` {#GEOS}&quot;">​</a></h2><p><code>GEOS</code> is a struct which instructs the method it&#39;s passed to as an algorithm to use the appropriate GEOS function via <code>LibGEOS.jl</code> for the operation.</p><p>It&#39;s generally a lot slower than the native Julia implementations, but it&#39;s useful for two reasons:</p><ol><li><p>Functionality which doesn&#39;t exist in GeometryOps can be accessed through the GeometryOps API, but use GEOS in the backend until someone implements a native Julia version.</p></li><li><p>It&#39;s a good way to test the correctness of the native implementations.</p></li></ol><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    GEOS(; params...)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">A struct which instructs the method it&#39;s passed to as an algorithm</span></span>
diff --git a/dev/assets/source_utils.md.D9wEaJdW.js b/dev/assets/source_utils.md.DlH2iY7N.js
similarity index 99%
rename from dev/assets/source_utils.md.D9wEaJdW.js
rename to dev/assets/source_utils.md.DlH2iY7N.js
index af2f186e5..037dbab3a 100644
--- a/dev/assets/source_utils.md.D9wEaJdW.js
+++ b/dev/assets/source_utils.md.DlH2iY7N.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),p={name:"source/utils.md"};function l(h,s,k,e,r,F){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Utility-functions" tabindex="-1">Utility functions <a class="header-anchor" href="#Utility-functions" aria-label="Permalink to &quot;Utility functions {#Utility-functions}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">trait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom), geom)</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),p={name:"source/utils.md"};function l(h,s,k,e,r,F){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Utility-functions" tabindex="-1">Utility functions <a class="header-anchor" href="#Utility-functions" aria-label="Permalink to &quot;Utility functions {#Utility-functions}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">trait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom), geom)</span></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.AbstractGeometryTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom)</span></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.FeatureTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, feature)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">geometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(feature))</span></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.FeatureCollectionTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, fc)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getfeature</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(fc, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
diff --git a/dev/assets/source_utils.md.D9wEaJdW.lean.js b/dev/assets/source_utils.md.DlH2iY7N.lean.js
similarity index 99%
rename from dev/assets/source_utils.md.D9wEaJdW.lean.js
rename to dev/assets/source_utils.md.DlH2iY7N.lean.js
index af2f186e5..037dbab3a 100644
--- a/dev/assets/source_utils.md.D9wEaJdW.lean.js
+++ b/dev/assets/source_utils.md.DlH2iY7N.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.O43fB7X6.js";const d=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),p={name:"source/utils.md"};function l(h,s,k,e,r,F){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Utility-functions" tabindex="-1">Utility functions <a class="header-anchor" href="#Utility-functions" aria-label="Permalink to &quot;Utility functions {#Utility-functions}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">trait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom), geom)</span></span>
+import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.B_n_RGhH.js";const d=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),p={name:"source/utils.md"};function l(h,s,k,e,r,F){return t(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Utility-functions" tabindex="-1">Utility functions <a class="header-anchor" href="#Utility-functions" aria-label="Permalink to &quot;Utility functions {#Utility-functions}&quot;">​</a></h1><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">trait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom), geom)</span></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.AbstractGeometryTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom)</span></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.FeatureTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, feature)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">geometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(feature))</span></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.FeatureCollectionTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, fc)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _is3d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getfeature</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(fc, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
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diff --git a/dev/assets/tutorials_creating_geometry.md.D4aO0Mq8.js b/dev/assets/tutorials_creating_geometry.md.BTBCrl8q.js
similarity index 99%
rename from dev/assets/tutorials_creating_geometry.md.D4aO0Mq8.js
rename to dev/assets/tutorials_creating_geometry.md.BTBCrl8q.js
index c4bf87a09..5516fcddc 100644
--- a/dev/assets/tutorials_creating_geometry.md.D4aO0Mq8.js
+++ b/dev/assets/tutorials_creating_geometry.md.BTBCrl8q.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as t}from"./chunks/framework.O43fB7X6.js";const n="/GeometryOps.jl/dev/assets/tzkihiu.Dz86q2IX.png",l="/GeometryOps.jl/dev/assets/xpwigpz.Cx40vhB3.png",p="/GeometryOps.jl/dev/assets/iwkpryh.0OJvb21A.png",h="/GeometryOps.jl/dev/assets/bndakij.DaovVbE6.png",o="/GeometryOps.jl/dev/assets/yjgrvbf.rOsRk89v.png",k="/GeometryOps.jl/dev/assets/djuoqnk.4wfjCtJV.png",r="/GeometryOps.jl/dev/assets/whxwitd.3sfpQl2i.png",g="/GeometryOps.jl/dev/assets/xgwfyhv.Dab1-ETk.png",d="/GeometryOps.jl/dev/assets/ubzuwfc.D9AE7i2o.png",E="/GeometryOps.jl/dev/assets/gtsdgxe.DTKLkKh_.png",c="/GeometryOps.jl/dev/assets/wjmyrsm.0f3Lq4Lw.png",G=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function F(u,s,f,C,m,b){return t(),a("div",null,s[0]||(s[0]=[e(`<h1 id="Creating-Geometry" tabindex="-1">Creating Geometry <a class="header-anchor" href="#Creating-Geometry" aria-label="Permalink to &quot;Creating Geometry {#Creating-Geometry}&quot;">​</a></h1><p>In this tutorial, we&#39;re going to:</p><ol><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#creating-geometry">Create and plot geometries</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#plot-geometry">Plot geometries on a map using <code>GeoMakie</code> and coordinate reference system (<code>CRS</code>)</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#geom-crs">Create geospatial geometries with embedded coordinate reference system information</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#attributes">Assign attributes to geospatial geometries</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#save-geometry">Save geospatial geometries to common geospatial file formats</a></p></li></ol><p>First, we load some required packages.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># Geospatial packages from Julia</span></span>
+import{_ as i,c as a,a5 as e,o as t}from"./chunks/framework.B_n_RGhH.js";const n="/GeometryOps.jl/dev/assets/pqtqdtt.Dz86q2IX.png",l="/GeometryOps.jl/dev/assets/ixoxtgg.Cx40vhB3.png",p="/GeometryOps.jl/dev/assets/dyradks.0OJvb21A.png",h="/GeometryOps.jl/dev/assets/gvlnqpi.DaovVbE6.png",o="/GeometryOps.jl/dev/assets/yarbqsp.rOsRk89v.png",k="/GeometryOps.jl/dev/assets/hircove.4wfjCtJV.png",r="/GeometryOps.jl/dev/assets/lfblsgc.3sfpQl2i.png",g="/GeometryOps.jl/dev/assets/mpaazvt.Dab1-ETk.png",d="/GeometryOps.jl/dev/assets/thxfble.D9AE7i2o.png",E="/GeometryOps.jl/dev/assets/wvvawyc.DTKLkKh_.png",c="/GeometryOps.jl/dev/assets/yghxjqa.0f3Lq4Lw.png",G=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function F(u,s,f,C,m,b){return t(),a("div",null,s[0]||(s[0]=[e(`<h1 id="Creating-Geometry" tabindex="-1">Creating Geometry <a class="header-anchor" href="#Creating-Geometry" aria-label="Permalink to &quot;Creating Geometry {#Creating-Geometry}&quot;">​</a></h1><p>In this tutorial, we&#39;re going to:</p><ol><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#creating-geometry">Create and plot geometries</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#plot-geometry">Plot geometries on a map using <code>GeoMakie</code> and coordinate reference system (<code>CRS</code>)</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#geom-crs">Create geospatial geometries with embedded coordinate reference system information</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#attributes">Assign attributes to geospatial geometries</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#save-geometry">Save geospatial geometries to common geospatial file formats</a></p></li></ol><p>First, we load some required packages.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># Geospatial packages from Julia</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoFormatTypes </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GFT</span></span>
diff --git a/dev/assets/tutorials_creating_geometry.md.D4aO0Mq8.lean.js b/dev/assets/tutorials_creating_geometry.md.BTBCrl8q.lean.js
similarity index 99%
rename from dev/assets/tutorials_creating_geometry.md.D4aO0Mq8.lean.js
rename to dev/assets/tutorials_creating_geometry.md.BTBCrl8q.lean.js
index c4bf87a09..5516fcddc 100644
--- a/dev/assets/tutorials_creating_geometry.md.D4aO0Mq8.lean.js
+++ b/dev/assets/tutorials_creating_geometry.md.BTBCrl8q.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as t}from"./chunks/framework.O43fB7X6.js";const n="/GeometryOps.jl/dev/assets/tzkihiu.Dz86q2IX.png",l="/GeometryOps.jl/dev/assets/xpwigpz.Cx40vhB3.png",p="/GeometryOps.jl/dev/assets/iwkpryh.0OJvb21A.png",h="/GeometryOps.jl/dev/assets/bndakij.DaovVbE6.png",o="/GeometryOps.jl/dev/assets/yjgrvbf.rOsRk89v.png",k="/GeometryOps.jl/dev/assets/djuoqnk.4wfjCtJV.png",r="/GeometryOps.jl/dev/assets/whxwitd.3sfpQl2i.png",g="/GeometryOps.jl/dev/assets/xgwfyhv.Dab1-ETk.png",d="/GeometryOps.jl/dev/assets/ubzuwfc.D9AE7i2o.png",E="/GeometryOps.jl/dev/assets/gtsdgxe.DTKLkKh_.png",c="/GeometryOps.jl/dev/assets/wjmyrsm.0f3Lq4Lw.png",G=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function F(u,s,f,C,m,b){return t(),a("div",null,s[0]||(s[0]=[e(`<h1 id="Creating-Geometry" tabindex="-1">Creating Geometry <a class="header-anchor" href="#Creating-Geometry" aria-label="Permalink to &quot;Creating Geometry {#Creating-Geometry}&quot;">​</a></h1><p>In this tutorial, we&#39;re going to:</p><ol><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#creating-geometry">Create and plot geometries</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#plot-geometry">Plot geometries on a map using <code>GeoMakie</code> and coordinate reference system (<code>CRS</code>)</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#geom-crs">Create geospatial geometries with embedded coordinate reference system information</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#attributes">Assign attributes to geospatial geometries</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#save-geometry">Save geospatial geometries to common geospatial file formats</a></p></li></ol><p>First, we load some required packages.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># Geospatial packages from Julia</span></span>
+import{_ as i,c as a,a5 as e,o as t}from"./chunks/framework.B_n_RGhH.js";const n="/GeometryOps.jl/dev/assets/pqtqdtt.Dz86q2IX.png",l="/GeometryOps.jl/dev/assets/ixoxtgg.Cx40vhB3.png",p="/GeometryOps.jl/dev/assets/dyradks.0OJvb21A.png",h="/GeometryOps.jl/dev/assets/gvlnqpi.DaovVbE6.png",o="/GeometryOps.jl/dev/assets/yarbqsp.rOsRk89v.png",k="/GeometryOps.jl/dev/assets/hircove.4wfjCtJV.png",r="/GeometryOps.jl/dev/assets/lfblsgc.3sfpQl2i.png",g="/GeometryOps.jl/dev/assets/mpaazvt.Dab1-ETk.png",d="/GeometryOps.jl/dev/assets/thxfble.D9AE7i2o.png",E="/GeometryOps.jl/dev/assets/wvvawyc.DTKLkKh_.png",c="/GeometryOps.jl/dev/assets/yghxjqa.0f3Lq4Lw.png",G=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function F(u,s,f,C,m,b){return t(),a("div",null,s[0]||(s[0]=[e(`<h1 id="Creating-Geometry" tabindex="-1">Creating Geometry <a class="header-anchor" href="#Creating-Geometry" aria-label="Permalink to &quot;Creating Geometry {#Creating-Geometry}&quot;">​</a></h1><p>In this tutorial, we&#39;re going to:</p><ol><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#creating-geometry">Create and plot geometries</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#plot-geometry">Plot geometries on a map using <code>GeoMakie</code> and coordinate reference system (<code>CRS</code>)</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#geom-crs">Create geospatial geometries with embedded coordinate reference system information</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#attributes">Assign attributes to geospatial geometries</a></p></li><li><p><a href="/GeometryOps.jl/dev/tutorials/creating_geometry#save-geometry">Save geospatial geometries to common geospatial file formats</a></p></li></ol><p>First, we load some required packages.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># Geospatial packages from Julia</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoFormatTypes </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GFT</span></span>
diff --git a/dev/assets/tutorials_geodesic_paths.md.D6mnfCpA.js b/dev/assets/tutorials_geodesic_paths.md.DkbgDT9U.js
similarity index 97%
rename from dev/assets/tutorials_geodesic_paths.md.D6mnfCpA.js
rename to dev/assets/tutorials_geodesic_paths.md.DkbgDT9U.js
index 42b55be34..094f381fe 100644
--- a/dev/assets/tutorials_geodesic_paths.md.D6mnfCpA.js
+++ b/dev/assets/tutorials_geodesic_paths.md.DkbgDT9U.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/tmfrkpo.CPClNl7F.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,d,r){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geodesic-paths" tabindex="-1">Geodesic paths <a class="header-anchor" href="#Geodesic-paths" aria-label="Permalink to &quot;Geodesic paths {#Geodesic-paths}&quot;">​</a></h1><p>Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/hzttamm.CPClNl7F.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,d,r){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geodesic-paths" tabindex="-1">Geodesic paths <a class="header-anchor" href="#Geodesic-paths" aria-label="Permalink to &quot;Geodesic paths {#Geodesic-paths}&quot;">​</a></h1><p>Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie, GeoMakie</span></span>
 <span class="line"></span>
 <span class="line"></span>
diff --git a/dev/assets/tutorials_geodesic_paths.md.D6mnfCpA.lean.js b/dev/assets/tutorials_geodesic_paths.md.DkbgDT9U.lean.js
similarity index 97%
rename from dev/assets/tutorials_geodesic_paths.md.D6mnfCpA.lean.js
rename to dev/assets/tutorials_geodesic_paths.md.DkbgDT9U.lean.js
index 42b55be34..094f381fe 100644
--- a/dev/assets/tutorials_geodesic_paths.md.D6mnfCpA.lean.js
+++ b/dev/assets/tutorials_geodesic_paths.md.DkbgDT9U.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.O43fB7X6.js";const t="/GeometryOps.jl/dev/assets/tmfrkpo.CPClNl7F.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,d,r){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geodesic-paths" tabindex="-1">Geodesic paths <a class="header-anchor" href="#Geodesic-paths" aria-label="Permalink to &quot;Geodesic paths {#Geodesic-paths}&quot;">​</a></h1><p>Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.B_n_RGhH.js";const t="/GeometryOps.jl/dev/assets/hzttamm.CPClNl7F.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,d,r){return h(),a("div",null,s[0]||(s[0]=[n(`<h1 id="Geodesic-paths" tabindex="-1">Geodesic paths <a class="header-anchor" href="#Geodesic-paths" aria-label="Permalink to &quot;Geodesic paths {#Geodesic-paths}&quot;">​</a></h1><p>Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie, GeoMakie</span></span>
 <span class="line"></span>
 <span class="line"></span>
diff --git a/dev/assets/tutorials_spatial_joins.md.Cn2Qsvbo.js b/dev/assets/tutorials_spatial_joins.md.BlaPD1R3.js
similarity index 99%
rename from dev/assets/tutorials_spatial_joins.md.Cn2Qsvbo.js
rename to dev/assets/tutorials_spatial_joins.md.BlaPD1R3.js
index f0c90c7e0..6083b4c7b 100644
--- a/dev/assets/tutorials_spatial_joins.md.Cn2Qsvbo.js
+++ b/dev/assets/tutorials_spatial_joins.md.BlaPD1R3.js
@@ -1,4 +1,4 @@
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This allows the user to specify a predicate in the following manner, for any kind of table join operation:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> FlexiJoins</span></span>
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This allows the user to specify a predicate in the following manner, for any kind of table join operation:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> FlexiJoins</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">innerjoin</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">((table1, table1),</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    by_pred</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:table1_column</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, predicate_function, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:table2_column</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># &amp; add other conditions here</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
diff --git a/dev/assets/tutorials_spatial_joins.md.Cn2Qsvbo.lean.js b/dev/assets/tutorials_spatial_joins.md.BlaPD1R3.lean.js
similarity index 99%
rename from dev/assets/tutorials_spatial_joins.md.Cn2Qsvbo.lean.js
rename to dev/assets/tutorials_spatial_joins.md.BlaPD1R3.lean.js
index f0c90c7e0..6083b4c7b 100644
--- a/dev/assets/tutorials_spatial_joins.md.Cn2Qsvbo.lean.js
+++ b/dev/assets/tutorials_spatial_joins.md.BlaPD1R3.lean.js
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diff --git a/dev/assets/iejgkmu.BEFUMtlf.png b/dev/assets/wpeykob.BEFUMtlf.png
similarity index 100%
rename from dev/assets/iejgkmu.BEFUMtlf.png
rename to dev/assets/wpeykob.BEFUMtlf.png
diff --git a/dev/assets/gtsdgxe.DTKLkKh_.png b/dev/assets/wvvawyc.DTKLkKh_.png
similarity index 100%
rename from dev/assets/gtsdgxe.DTKLkKh_.png
rename to dev/assets/wvvawyc.DTKLkKh_.png
diff --git a/dev/assets/glloswm.CULn5saZ.png b/dev/assets/xdzgijh.CULn5saZ.png
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data-v-18756405><span class="visually-hidden" id="sidebar-aria-label" data-v-18756405> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0" data-v-9e426adc data-v-196b2e5f><!----><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/introduction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Introduction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/api" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>API Reference</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Tutorials</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/creating_geometry" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Creating Geometry</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Spatial Joins</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Explanations</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div class="content" data-v-b38bf2ff><div class="outline-marker" data-v-b38bf2ff></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-b38bf2ff>On this page</div><ul class="VPDocOutlineItem root" data-v-b38bf2ff data-v-3f927ebe><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-6d7b3c46></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-83890dd9><div class="content-container" data-v-83890dd9><!--[--><!--]--><main class="main" data-v-83890dd9><div style="position:relative;" class="vp-doc _GeometryOps_jl_dev_call_notes" data-v-83890dd9><div><h2 id="20th-April,-2024" tabindex="-1">20th April, 2024 <a class="header-anchor" href="#20th-April,-2024" aria-label="Permalink to &quot;20th April, 2024 {#20th-April,-2024}&quot;">​</a></h2><p>See <a href="https://github.com/JuliaGeo/GeometryOps.jl/issues/114" target="_blank" rel="noreferrer">GeometryOps#114</a>.</p><ul><li><p>[ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.</p></li><li><p>[ ] Add Shewchuck&#39;s adaptive math as a stage for exact predicates.</p><ul><li>[ ] We can add this by simply adding a function which creates and does the error check for MultiFloat numbers, in the vein of <a href="https://github.com/lairez/ExactPredicates.jl/blob/a9dce0334ee62104a14930fe206764bf802c23db/src/Codegen.jl#L468C1-L471C13" target="_blank" rel="noreferrer">the code to generate the main function of a predicate</a> from ExactPredicates.</li></ul></li><li><p>[x] @skygering to write docstrings for the predicates</p></li></ul><h2 id="29th-Feb,-2024" tabindex="-1">29th Feb, 2024 <a class="header-anchor" href="#29th-Feb,-2024" aria-label="Permalink to &quot;29th Feb, 2024 {#29th-Feb,-2024}&quot;">​</a></h2><h3 id="To-do" tabindex="-1">To do <a class="header-anchor" href="#To-do" aria-label="Permalink to &quot;To do {#To-do}&quot;">​</a></h3><ul><li><p>[ ] Finish clipping degeneracies</p></li><li><p>[ ] Fix cross &amp; overlap functions</p></li><li><p>[x] Benchmarks to show why things you couldn&#39;t concieve of in R are doable in Julia</p></li><li><p>[x] profile functions for exponential improvements</p></li><li><p>[ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it&#39;s an undergrad level project</p></li><li><p>[ ] Doc improvements</p><ul><li><p>more</p></li><li><p>benchmarks page</p></li></ul></li><li><p>Methods to validate and fix geometry</p><ul><li><p>[ ] Polygons and LinearRings:</p><ul><li><p>[ ] self-intersection</p></li><li><p>[ ] holes are actually within the polygon</p></li><li><p>[ ] Polygon exteriors must be counterclockwise, holes clockwise.</p></li><li><p>[ ] length of all rings &gt; 4</p></li><li><p>[ ] repeated last point</p></li></ul></li><li><p>[ ] LineStrings: NaN/Inf points</p></li><li><p>[x] Fix linear rings at some point to make sure the ring is closed, i.e., <code>points[end] == points[begin]</code></p></li><li></li><li></li></ul></li><li><p>Tests</p><ul><li><p>[x] Simplify functions</p></li><li><p>[x] Polygonize</p></li><li><p>Barycentric tests for <code>n_vertices &gt; 4</code></p></li></ul></li></ul><h3 id="done" tabindex="-1">Done <a class="header-anchor" href="#done" aria-label="Permalink to &quot;Done&quot;">​</a></h3><ul><li><p>Rename <code>bools.jl</code> to something more relevant to the actual code -&gt; <code>orientation.jl</code></p></li><li><p>Doc improvements:</p><ul><li>organise sections</li></ul></li></ul></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/call_notes.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><!----></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/introduction" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Introduction</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" 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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> NaturalEarth</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">all_adm0 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> naturalearth</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;admin_0_countries&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>FeatureCollection with 258 Features</span></span></code></pre></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">area</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(all_adm0)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>21427.909318372607</span></span></code></pre></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">AccurateArithmetic</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">sum_oro</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">area</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(all_adm0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geometry))</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>21427.909318372607</span></span></code></pre></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">AccurateArithmetic</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">sum_kbn</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">area</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(all_adm0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geometry))</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>21427.909318372607</span></span></code></pre></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">flatten</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Union{GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LineStringTrait, GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LinearRingTrait}, all_adm0) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> collect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.|&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [x]) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.|&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">signed_area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> sum</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>-21427.90063612163</span></span></code></pre></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">flatten</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Union{GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LineStringTrait, GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LinearRingTrait}, all_adm0) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> collect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.|&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [x]) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.|&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">signed_area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|&gt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> sum_oro</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>-21427.90063612163</span></span></code></pre></div><p>@example accurate GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |&gt; collect .|&gt; x -&gt; [x]) .|&gt; GO.signed_area |&gt; sum_kbn ```</p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon 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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">resize!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(fig, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">450</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/dnourzx.C6X_Wm6e.png" alt=""></p><h3 id="dashboard" tabindex="-1">Dashboard <a class="header-anchor" href="#dashboard" aria-label="Permalink to &quot;Dashboard&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> WGLMakie</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/yafbdbx.DgMj-nPU.png" alt=""></p><h3 id="dashboard" tabindex="-1">Dashboard <a class="header-anchor" href="#dashboard" aria-label="Permalink to &quot;Dashboard&quot;">​</a></h3><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> WGLMakie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ExactPredicates</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> MultiFloats</span></span>
@@ -115,7 +115,7 @@
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">intersection</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1_m, p2_m; target </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">PolygonTrait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), fix_multipoly </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> nothing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">intersection</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1_m, p2_m)</span></span></code></pre></div><h2 id="incircle" tabindex="-1">Incircle <a class="header-anchor" href="#incircle" aria-label="Permalink to &quot;Incircle&quot;">​</a></h2></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/experiments/predicates.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><!----></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/introduction" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Introduction</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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class="vpi-chevron-down text-icon" data-v-e5380155></span></span></button><div class="menu" data-v-e5380155><div class="VPMenu" data-v-e5380155 data-v-7dd3104a><div class="items" data-v-7dd3104a><!--[--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-8b74d055><!--[-->GeometryOps.jl<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Methods</p><!--[--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-8b74d055><!--[-->Angles<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/area" data-v-8b74d055><!--[-->Area and signed area<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-8b74d055><!--[-->Barycentric coordinates<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-8b74d055><!--[-->Buffer<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-8b74d055><!--[-->Centroid<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-8b74d055><!--[-->Convex hull<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-8b74d055><!--[-->Distance and signed distance<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-8b74d055><!--[-->Equals<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-8b74d055><!--[-->Orientation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-8b74d055><!--[-->Polygonizing raster data<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-8b74d055><!--[-->Not implemented yet<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/primitives" data-v-8b74d055><!--[-->source/primitives<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Transformations</p><!--[--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-8b74d055><!--[-->Extent embedding<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-8b74d055><!--[-->Coordinate flipping<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-8b74d055><!--[-->Geometry reprojection<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-8b74d055><!--[-->Segmentize<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-8b74d055><!--[-->Geometry simplification<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-8b74d055><!--[-->Pointwise transformation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-8b74d055><!--[-->Tuple conversion<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/types" data-v-8b74d055><!--[-->Types<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/utils" data-v-8b74d055><!--[-->Utility functions<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>GeometryOpsCore</p><!--[--><!--[--><!----><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Extensions</p><!--[--><!--[--><!----><!--]--><!--[--><!----><!--]--><!--[--><!----><!--]--><!--]--></div><!--]--><!--]--></div><!--[--><!--]--></div></div></div><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-822684d1 data-v-af096f4a><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title aria-checked="false" data-v-af096f4a data-v-e40a8bb6 data-v-4a1c76db><span class="check" data-v-4a1c76db><span class="icon" data-v-4a1c76db><!--[--><span class="vpi-sun sun" data-v-e40a8bb6></span><span 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data-v-18756405><span class="visually-hidden" id="sidebar-aria-label" data-v-18756405> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0" data-v-9e426adc data-v-196b2e5f><!----><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/introduction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Introduction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/api" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>API Reference</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Tutorials</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/creating_geometry" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Creating Geometry</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Spatial Joins</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Explanations</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div 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data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div class="content" data-v-b38bf2ff><div class="outline-marker" data-v-b38bf2ff></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-b38bf2ff>On this page</div><ul class="VPDocOutlineItem root" data-v-b38bf2ff data-v-3f927ebe><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-6d7b3c46></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-83890dd9><div class="content-container" data-v-83890dd9><!--[--><!--]--><main class="main" data-v-83890dd9><div style="position:relative;" class="vp-doc _GeometryOps_jl_dev_explanations_paradigms" data-v-83890dd9><div><h1 id="paradigms" tabindex="-1">Paradigms <a class="header-anchor" href="#paradigms" aria-label="Permalink to &quot;Paradigms&quot;">​</a></h1><p>GeometryOps exposes functions like <code>apply</code> and <code>applyreduce</code>, as well as the <code>fix</code> and <code>prepare</code> APIs, that represent <em>paradigms</em> of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we&#39;ve built without needing to re-implement the wheel.</p><p>Below, we&#39;ll describe some of the foundational paradigms of GeometryOps, and why you should care!</p><h2 id="apply" tabindex="-1"><code>apply</code> <a class="header-anchor" href="#apply" aria-label="Permalink to &quot;`apply` {#apply}&quot;">​</a></h2><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">apply</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, trait</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Trait</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geom)</span></span></code></pre></div><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a <code>trait</code> to it.</p><p><code>apply</code> will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which <code>GI.trait(geom) isa Trait</code>. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits <code>GI.PointTrait</code>, will cause an error.</p><p><code>apply</code> is unlike <code>map</code> in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call <code>GO.flatten(f, trait, geom)</code>, which will decompose each geometry to the given <code>trait</code> and apply <code>f</code> to it, returning the decomposition as a flattened vector.</p><h3 id="applyreduce" tabindex="-1"><code>applyreduce</code> <a class="header-anchor" href="#applyreduce" aria-label="Permalink to &quot;`applyreduce` {#applyreduce}&quot;">​</a></h3><p><code>applyreduce</code> is like the previous <code>map</code>-based approach that we mentioned, except that it <code>reduce</code>s the result of <code>f</code> by <code>op</code>. Note that <code>applyreduce</code> does not guarantee associativity, so it&#39;s best to have <code>typeof(init) == returntype(op)</code>.</p><h2 id="fix-and-prepare" tabindex="-1"><code>fix</code> and <code>prepare</code> <a class="header-anchor" href="#fix-and-prepare" aria-label="Permalink to &quot;`fix` and `prepare` {#fix-and-prepare}&quot;">​</a></h2><p>The <code>fix</code> and <code>prepare</code> paradigms are different from <code>apply</code>, though they are built on top of it. They involve the use of structs as &quot;actions&quot;, where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.</p><p>In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a <code>Prepared</code> geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)</p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/explanations/paradigms.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Spatial Joins</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Peculiarities</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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etc)\",\"link\":\"/source/src/other_primitives\"},{\"text\":\"Types\",\"link\":\"/source/src/types\"}]}]},{\"text\":\"Extensions\",\"collapsed\":false,\"items\":[{\"text\":\"GeometryOpsFlexiJoinsExt\",\"collapsed\":false,\"items\":[{\"text\":\"source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt\",\"link\":\"/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt\"}]},{\"text\":\"GeometryOpsLibGEOSExt\",\"collapsed\":false,\"items\":[{\"text\":\"source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt\",\"link\":\"/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt\"},{\"text\":\"source/GeometryOpsLibGEOSExt/buffer\",\"link\":\"/source/GeometryOpsLibGEOSExt/buffer\"},{\"text\":\"Segmentize\",\"link\":\"/source/GeometryOpsLibGEOSExt/segmentize\"},{\"text\":\"Simple 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cutting\",\"link\":\"/source/methods/clipping/cut\"},{\"text\":\"Difference Polygon Clipping\",\"link\":\"/source/methods/clipping/difference\"},{\"text\":\"Geometry Intersection\",\"link\":\"/source/methods/clipping/intersection\"},{\"text\":\"If we want to inject adaptivity, we would do something like:\",\"link\":\"/source/methods/clipping/predicates\"},{\"text\":\"Union Polygon Clipping\",\"link\":\"/source/methods/clipping/union\"}]},{\"text\":\"Convex hull\",\"link\":\"/source/methods/convex_hull\"},{\"text\":\"Distance and signed distance\",\"link\":\"/source/methods/distance\"},{\"text\":\"Equals\",\"link\":\"/source/methods/equals\"},{\"text\":\"Geom_relations\",\"collapsed\":false,\"items\":[{\"text\":\"Contains\",\"link\":\"/source/methods/geom_relations/contains\"},{\"text\":\"CoveredBy\",\"link\":\"/source/methods/geom_relations/coveredby\"},{\"text\":\"Covers\",\"link\":\"/source/methods/geom_relations/covers\"},{\"text\":\"Crossing 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href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-8b74d055><!--[-->Segmentize<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-8b74d055><!--[-->Geometry simplification<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-8b74d055><!--[-->Pointwise transformation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-8b74d055><!--[-->Tuple conversion<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/types" data-v-8b74d055><!--[-->Types<!--]--></a></div><!--]--><!--[--><div 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data-v-18756405><span class="visually-hidden" id="sidebar-aria-label" data-v-18756405> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0" data-v-9e426adc data-v-196b2e5f><!----><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/introduction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Introduction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/api" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>API Reference</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Tutorials</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/creating_geometry" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Creating Geometry</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Spatial Joins</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible has-active" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Explanations</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div class="content" data-v-b38bf2ff><div class="outline-marker" data-v-b38bf2ff></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-b38bf2ff>On this page</div><ul class="VPDocOutlineItem root" data-v-b38bf2ff data-v-3f927ebe><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-6d7b3c46></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-83890dd9><div class="content-container" data-v-83890dd9><!--[--><!--]--><main class="main" data-v-83890dd9><div style="position:relative;" class="vp-doc _GeometryOps_jl_dev_explanations_peculiarities" data-v-83890dd9><div><h1 id="peculiarities" tabindex="-1">Peculiarities <a class="header-anchor" href="#peculiarities" aria-label="Permalink to &quot;Peculiarities&quot;">​</a></h1><h2 id="What-does-apply-return-and-why?" tabindex="-1">What does <code>apply</code> return and why? <a class="header-anchor" href="#What-does-apply-return-and-why?" aria-label="Permalink to &quot;What does `apply` return and why? {#What-does-apply-return-and-why?}&quot;">​</a></h2><p><code>apply</code> returns the target geometries returned by <code>f</code>, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching <code>GeoInterface.trait</code> to the originals. All non-geointerface iterables become <code>Array</code>s. Tables.jl compatible tables are converted either back to the original type if a <code>Tables.materializer</code> is defined, and if not then returned as generic <code>NamedTuple</code> column tables (i.e., a NamedTuple of vectors).</p><p>It is recommended for consistency that <code>f</code> returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.</p><h2 id="Why-do-you-want-me-to-provide-a-target-in-set-operations?" tabindex="-1">Why do you want me to provide a <code>target</code> in set operations? <a class="header-anchor" href="#Why-do-you-want-me-to-provide-a-target-in-set-operations?" aria-label="Permalink to &quot;Why do you want me to provide a `target` in set operations? {#Why-do-you-want-me-to-provide-a-target-in-set-operations?}&quot;">​</a></h2><p>In polygon set operations like <code>intersection</code>, <code>difference</code>, and <code>union</code>, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.</p><p>We use the <code>target</code> keyword to allow the user to control which kinds of geometry they want back. For example, setting <code>target</code> to <code>PolygonTrait</code> will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement <code>MultiPolygonTrait</code> or <code>GeometryCollectionTrait</code> targets which will return a single geometry, as LibGEOS and ArchGDAL do.</p><p>This also allows for a lot more type stability - when you ask for polygons, we won&#39;t return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.</p><h2 id="_True-and-_False-(or-BoolsAsTypes)" tabindex="-1"><code>_True</code> and <code>_False</code> (or <code>BoolsAsTypes</code>) <a class="header-anchor" href="#_True-and-_False-(or-BoolsAsTypes)" aria-label="Permalink to &quot;`_True` and `_False` (or `BoolsAsTypes`) {#_True-and-_False-(or-BoolsAsTypes)}&quot;">​</a></h2><div class="warning custom-block"><p class="custom-block-title">Warning</p><p>These are internals and explicitly <em>not</em> public API, meaning they may change at any time!</p></div><p>When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like <code>threaded</code> and <code>calc_extent</code> in <code>apply</code>, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about</p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/explanations/peculiarities.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Paradigms</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>GeometryOps.jl</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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data-v-18756405><span class="visually-hidden" id="sidebar-aria-label" data-v-18756405> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0" data-v-9e426adc data-v-196b2e5f><!----><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/introduction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Introduction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/api" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>API Reference</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div 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class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Spatial Joins</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Explanations</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div 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data-v-f5e9645b>Documented source code with examples!</p><!----></article><!--]--></a></div><div class="grid-3 item" data-v-d0a190d7><a class="VPLink link vp-external-link-icon no-icon VPFeature" href="https://juliageo.org/GeoInterface.jl/stable" target="_blank" rel="noreferrer" data-v-d0a190d7 data-v-f5e9645b><!--[--><article class="box" data-v-f5e9645b><div class="icon" data-v-f5e9645b><img width="64" height="64" src="https://rawcdn.githack.com/JuliaGeo/juliageo.github.io/4788480c2a5f7ae36df67a4b142e3a963024ac91/img/juliageo.svg" /></div><h2 class="title" data-v-f5e9645b>Full integration with GeoInterface</h2><p class="details" data-v-f5e9645b>Use any GeoInterface.jl-compatible geometry</p><!----></article><!--]--></a></div><!--]--></div></div></div><!--[--><!--]--><div class="vp-doc container" style="" data-v-cbb6ec48 data-v-7a48a447><!--[--><div style="position:relative;" data-v-cbb6ec48><div><p style="margin-bottom:2cm;"></p><div class="vp-doc" style="width:80%;margin:auto;"><h1 id="what-is-geometryops-jl" tabindex="-1">What is GeometryOps.jl? <a class="header-anchor" href="#what-is-geometryops-jl" aria-label="Permalink to &quot;What is GeometryOps.jl?&quot;">​</a></h1><p>GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.</p><p>The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them <a href="https://github.com/JuliaGeo/GeoInterface.jl" target="_blank" rel="noreferrer">GeoInterface.jl</a>-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.</p><p>Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.</p><p>We welcome contributions, either as pull requests or discussion on issues!</p><h1 id="how-to-navigate-the-docs" tabindex="-1">How to navigate the docs <a class="header-anchor" href="#how-to-navigate-the-docs" aria-label="Permalink to &quot;How to navigate the docs&quot;">​</a></h1><p>GeometryOps&#39; <a href="https://juliageo.org/GeometryOps.jl/stable" target="_blank" rel="noreferrer">docs</a> are divided into three main sections: tutorials, explanations and source code.<br> Documentation and examples for many functions can be found in the source code section, since we use literate programming in GeometryOps.</p><ul><li>Tutorials are meant to teach the fundamental concepts behind GeometryOps, and how to perform certain operations.</li><li>Explanations usually contain little code, and explain in more detail how GeometryOps works.</li><li>Source code usually contains explanations and examples at the top of the page, followed by annotated source code from that file.</li></ul></div></div></div><!--]--></div></div></div><footer class="VPFooter" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div class="content" data-v-b38bf2ff><div class="outline-marker" data-v-b38bf2ff></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-b38bf2ff>On this page</div><ul class="VPDocOutlineItem root" data-v-b38bf2ff data-v-3f927ebe><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-6d7b3c46></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-83890dd9><div class="content-container" data-v-83890dd9><!--[--><!--]--><main class="main" data-v-83890dd9><div style="position:relative;" class="vp-doc _GeometryOps_jl_dev_introduction" data-v-83890dd9><div><h1 id="introduction" tabindex="-1">Introduction <a class="header-anchor" href="#introduction" aria-label="Permalink to &quot;Introduction&quot;">​</a></h1><p>GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.</p><p>The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them <a href="https://github.com/JuliaGeo/GeoInterface.jl" target="_blank" rel="noreferrer">GeoInterface.jl</a>-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.</p><p>Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.</p><p>We welcome contributions, either as pull requests or discussion on issues!</p><h2 id="Main-concepts" tabindex="-1">Main concepts <a class="header-anchor" href="#Main-concepts" aria-label="Permalink to &quot;Main concepts {#Main-concepts}&quot;">​</a></h2><h3 id="The-apply-paradigm" tabindex="-1">The <code>apply</code> paradigm <a class="header-anchor" href="#The-apply-paradigm" aria-label="Permalink to &quot;The `apply` paradigm {#The-apply-paradigm}&quot;">​</a></h3><div class="tip custom-block"><p class="custom-block-title">Note</p><p>See the <a href="./@ref Primitive-functions">Primitive Functions</a> page for more information on this.</p></div><p>The <code>apply</code> function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.</p><p>Functionally, it&#39;s similar to <code>map</code> in the way you apply it to geometries.</p><p><code>apply</code> and <code>applyreduce</code> take any geometry, vector of geometries, collection of geometries, or table (like <code>Shapefile.Table</code>, <code>DataFrame</code>, or <code>GeoTable</code>)!</p><h3 id="What&#39;s-this-GeoInterface.Wrapper-thing?" tabindex="-1">What&#39;s this <code>GeoInterface.Wrapper</code> thing? <a class="header-anchor" href="#What&#39;s-this-GeoInterface.Wrapper-thing?" aria-label="Permalink to &quot;What&amp;#39;s this `GeoInterface.Wrapper` thing? {#What&#39;s-this-GeoInterface.Wrapper-thing?}&quot;">​</a></h3><p>Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.</p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/introduction.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><!----></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/api" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>API Reference</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/GeometryOps.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Peculiarities</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/angles" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Angles</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">FlexiJoins</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">swap_sides</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">typeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">within)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">contains</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">FlexiJoins</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">swap_sides</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">typeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">coveredby)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">covers</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">FlexiJoins</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">swap_sides</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">typeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">covers)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">coveredby</span></span></code></pre></div><p>That&#39;s a wrap, folks!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/src/types" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Types</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"></span>
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@@ -48,7 +48,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _wrap</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(newgeom; crs </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">crs</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom), calc_extent)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/GeometryOpsLibGEOSExt/buffer.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Segmentize</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        threaded</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    )</span></span>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        calc_extent </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    )</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/GeometryOpsLibGEOSExt/simple_overrides.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Segmentize</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>source/GeometryOpsLibGEOSExt/simplify</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        kw</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    )</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/GeometryOpsLibGEOSExt/simplify.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Simple overrides</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>source/GeometryOpsProjExt/GeometryOpsProjExt</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">include</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;segmentize.jl&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/GeometryOpsProjExt/GeometryOpsProjExt.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>source/GeometryOpsLibGEOSExt/simplify</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>source/GeometryOpsProjExt/reproject</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -36,7 +36,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span></code></pre></div><p>End the line with the original coordinate, to avoid any multiplication errors.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    push!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(new_coords, (x2, y2))</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> nothing</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/GeometryOpsProjExt/segmentize.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>source/GeometryOpsProjExt/reproject</span><!--]--></a></div><div class="pager" data-v-4f9813fa><!----></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -22,7 +22,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie, CairoMakie</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">rect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([[(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]])</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)); axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/jqhztwg.Dig-DWOQ.png" alt=""></p><p>This is clearly a rectangle, with angles of 90 degrees.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">angles</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># [90, 90, 90, 90]</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>4-element Vector{Float64}:</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)); axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/byztndv.Dig-DWOQ.png" alt=""></p><p>This is clearly a rectangle, with angles of 90 degrees.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">angles</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># [90, 90, 90, 90]</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>4-element Vector{Float64}:</span></span>
 <span class="line"><span> 90.0</span></span>
 <span class="line"><span> 90.0</span></span>
 <span class="line"><span> 90.0</span></span>
@@ -141,7 +141,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    angle </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> real</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">acos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(val) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 180</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> /</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> π</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> angle </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (cross_prod </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> ?</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> :</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/angles.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>GeometryOps.jl</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/area" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Area and signed area</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -23,10 +23,10 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">rect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([[(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]])</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)); axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/jqhztwg.Dig-DWOQ.png" alt=""></p><p>This is clearly a rectangle, etc. But now let&#39;s look at how the points look:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)); axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/byztndv.Dig-DWOQ.png" alt=""></p><p>This is clearly a rectangle, etc. But now let&#39;s look at how the points look:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect));</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">npoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect), linewidth </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/glloswm.CULn5saZ.png" alt=""></p><p>The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a positive area.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">signed_area</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># -1.0</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>-1.0</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that area and signed area are zero for all points and curves, even if the curves are closed like with a linear ring. Also note that signed area really only makes sense for polygons, given with a multipolygon can have several polygons each with a different orientation and thus the absolute value of the signed area might not be the area. This is why signed area is only implemented for polygons.</p><p>Targets for applys functions</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _AREA_TARGETS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/xdzgijh.CULn5saZ.png" alt=""></p><p>The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a positive area.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">signed_area</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># -1.0</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>-1.0</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that area and signed area are zero for all points and curves, even if the curves are closed like with a linear ring. Also note that signed area really only makes sense for polygons, given with a multipolygon can have several polygons each with a different orientation and thus the absolute value of the signed area might not be the area. This is why signed area is only implemented for polygons.</p><p>Targets for applys functions</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _AREA_TARGETS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    area(geom, [T = Float64])::T</span></span>
@@ -104,7 +104,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _area_component</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, p2)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> T</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(area </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/area.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/angles" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Angles</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Barycentric coordinates</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -84,7 +84,7 @@
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># and render!</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">hm </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> heatmap!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a2, xrange, yrange, mean_values; colormap </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">colormap, colorrange </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> p1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">plots[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">colorrange[], xautolimits </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, yautolimits </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">translate!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(hm, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># translate the heatmap behind the cropping polygon!</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># finally, display the figure</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/piizsjm.CZy9YIUA.png" alt=""></p><h2 id="Barycentric-coordinate-API" tabindex="-1">Barycentric-coordinate API <a class="header-anchor" href="#Barycentric-coordinate-API" aria-label="Permalink to &quot;Barycentric-coordinate API {#Barycentric-coordinate-API}&quot;">​</a></h2><p>In some cases, we actually want barycentric interpolation, and have no interest in the coordinates themselves.</p><p>However, the coordinates can be useful for debugging, and when performing 3D rendering, multiple barycentric values (depth, uv) are needed for depth buffering.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _VecTypes </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Union{Tuple{Vararg{T, N}}, GeometryBasics</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">StaticArraysCore</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">StaticArray{Tuple{N}, T, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}} </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">where</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {N, T}</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># finally, display the figure</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/quvcwbg.CZy9YIUA.png" alt=""></p><h2 id="Barycentric-coordinate-API" tabindex="-1">Barycentric-coordinate API <a class="header-anchor" href="#Barycentric-coordinate-API" aria-label="Permalink to &quot;Barycentric-coordinate API {#Barycentric-coordinate-API}&quot;">​</a></h2><p>In some cases, we actually want barycentric interpolation, and have no interest in the coordinates themselves.</p><p>However, the coordinates can be useful for debugging, and when performing 3D rendering, multiple barycentric values (depth, uv) are needed for depth buffering.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _VecTypes </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Union{Tuple{Vararg{T, N}}, GeometryBasics</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">StaticArraysCore</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">StaticArray{Tuple{N}, T, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}} </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">where</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {N, T}</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    abstract type AbstractBarycentricCoordinateMethod</span></span>
@@ -432,7 +432,7 @@
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Wachspress </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> AbstractBarycentricCoordinateMethod</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/barycentric.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/area" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Area and signed area</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Buffer</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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diff --git a/dev/source/methods/buffer.html b/dev/source/methods/buffer.html
index 20faa436e..82a5c4b9d 100644
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+++ b/dev/source/methods/buffer.html
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@@ -28,7 +28,7 @@
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        println</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(io, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot; in your REPL, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">or otherwise loading LibGEOS.jl via using or import.&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/buffer.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Barycentric coordinates</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Centroid</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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diff --git a/dev/source/methods/centroid.html b/dev/source/methods/centroid.html
index 8a774459f..6aa0b540d 100644
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+++ b/dev/source/methods/centroid.html
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@@ -23,9 +23,9 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">cshape </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([[(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)]])</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cshape)); axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/kycmsab.BD0hVfse.png" alt=""></p><p>Let&#39;s see what the centroid looks like (plotted in red):</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">cent </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">centroid</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cshape)</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cshape)); axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/bsfjfzw.BD0hVfse.png" alt=""></p><p>Let&#39;s see what the centroid looks like (plotted in red):</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">cent </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">centroid</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cshape)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">x</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cent), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">y</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cent), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :red</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/kztduvn.DHcwB147.png" alt=""></p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.</p><p>The helper functions centroid_and_length and centroid_and_area are made available just in case the user also needs the area or length to decrease repeat computation.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/nmgrusc.DHcwB147.png" alt=""></p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.</p><p>The helper functions centroid_and_length and centroid_and_area are made available just in case the user also needs the area or length to decrease repeat computation.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    centroid(geom, [T=Float64])::Tuple{T, T}</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Returns the centroid of a given line segment, linear ring, polygon, or</span></span>
@@ -110,7 +110,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (y1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> area1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> area2) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> area</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (x, y), area</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/centroid.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Buffer</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Polygon clipping helpers</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cell)); axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">poly!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)))</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/lzjbven.Cb0_DiYE.png" alt=""></p><p>It is clear that half of the polygon is within the cell, so the coverage should be 1.0, half of the area of the rectangle.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coverage</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect, xmin, xmax, ymin, ymax)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>1.0</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that the coverage is zero for all points and curves, even if the curves are closed like with a linear ring.</p><p>Targets for applys functions</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _COVERAGE_TARGETS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>Wall types for coverage</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> UNKNOWN, NORTH, EAST, SOUTH, WEST </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/jgamrhg.Cb0_DiYE.png" alt=""></p><p>It is clear that half of the polygon is within the cell, so the coverage should be 1.0, half of the area of the rectangle.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coverage</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect, xmin, xmax, ymin, ymax)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>1.0</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that the coverage is zero for all points and curves, even if the curves are closed like with a linear ring.</p><p>Targets for applys functions</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _COVERAGE_TARGETS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span></code></pre></div><p>Wall types for coverage</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> UNKNOWN, NORTH, EAST, SOUTH, WEST </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T</span></span>
@@ -240,7 +240,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    y_wall </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (wall </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> NORTH </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">||</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> wall </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> WEST) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">?</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ymax </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ymin</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y_wall </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x_wall </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y1</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/clipping/coverage.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Polygon clipping helpers</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Polygon cutting</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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index 1a235b252..51decd653 100644
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@@ -28,7 +28,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cut_polys[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])); color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:blue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">poly!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(cut_polys[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])); color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(line); color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :black</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/rvdgstm.-VpeHhXX.png" alt=""></p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This function depends on polygon clipping helper function and is inspired by the Greiner-Hormann clipping algorithm used elsewhere in this library. The inspiration came from <a href="https://stackoverflow.com/questions/3623703/how-can-i-split-a-polygon-by-a-line" target="_blank" rel="noreferrer">this</a> Stack Overflow discussion.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/bhglzly.-VpeHhXX.png" alt=""></p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This function depends on polygon clipping helper function and is inspired by the Greiner-Hormann clipping algorithm used elsewhere in this library. The inspiration came from <a href="https://stackoverflow.com/questions/3623703/how-can-i-split-a-polygon-by-a-line" target="_blank" rel="noreferrer">this</a> Stack Overflow discussion.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    cut(geom, line, [T::Type])</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Return given geom cut by given line as a list of geometries of the same type as the input</span></span>
@@ -104,7 +104,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> return_coords</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/clipping/cut.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>What is coverage?</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Difference Polygon Clipping</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -183,7 +183,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    )</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> nothing</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/clipping/difference.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Polygon cutting</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Geometry Intersection</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        α, β </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _clamped_frac</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">distance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(min_pt, a2, T), a_dist, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">eps</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(T)), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">one</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(T) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> eps</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(T)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span></code></pre></div><p>Return point with smallest distance</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _tuple_point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(min_pt, T), α, β</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><p>Return value of x/y clamped between ϵ and 1 - ϵ</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_clamped_frac</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">T</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, y</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">T</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, ϵ </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> zero</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(T)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">where</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> T </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> clamp</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> y, ϵ, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">one</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(T) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ϵ)</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/clipping/intersection.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Difference Polygon Clipping</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>If we want to inject adaptivity, we would do something like:</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> .</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Predicates</span></span></code></pre></div><h1 id="If-we-want-to-inject-adaptivity,-we-would-do-something-like:" tabindex="-1">If we want to inject adaptivity, we would do something like: <a class="header-anchor" href="#If-we-want-to-inject-adaptivity,-we-would-do-something-like:" aria-label="Permalink to &quot;If we want to inject adaptivity, we would do something like: {#If-we-want-to-inject-adaptivity,-we-would-do-something-like:}&quot;">​</a></h1><p>function cross(a, b, c) # try Predicates._cross_naive(a, b, c) # check the error bound there # then try Predicates._cross_adaptive(a, b, c) # then try Predicates._cross_exact end</p><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/clipping/predicates.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Geometry Intersection</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Union Polygon Clipping</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    throw</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">ArgumentError</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;Union between </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$trait_a</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> and </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$trait_b</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> with target </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$Target</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> isn&#39;t implemented yet.&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> nothing</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/clipping/union.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>If we want to inject adaptivity, we would do something like:</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Convex hull</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -25,7 +25,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">hull_poly </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(points)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, hull_poly; label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Convex hull&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">wong_colors</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">axislegend</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/uwwxcdv.CwTFuyyb.png" alt=""></p><h2 id="Convex-hull-of-the-USA" tabindex="-1">Convex hull of the USA <a class="header-anchor" href="#Convex-hull-of-the-USA" aria-label="Permalink to &quot;Convex hull of the USA {#Convex-hull-of-the-USA}&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/hatdqxw.DQxLQp_L.png" alt=""></p><h2 id="Convex-hull-of-the-USA" tabindex="-1">Convex hull of the USA <a class="header-anchor" href="#Convex-hull-of-the-USA" aria-label="Permalink to &quot;Convex hull of the USA {#Convex-hull-of-the-USA}&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># to plot</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> NaturalEarth </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># for data</span></span>
 <span class="line"></span>
@@ -33,7 +33,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">usa </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> all_adm0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geometry[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">findfirst</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;USA&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), all_adm0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ADM0_A3)]</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa); color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">wong_colors</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/cgxfzhy.mCtKcWOr.png" alt=""></p><h2 id="Investigating-the-winding-order" tabindex="-1">Investigating the winding order <a class="header-anchor" href="#Investigating-the-winding-order" aria-label="Permalink to &quot;Investigating the winding order {#Investigating-the-winding-order}&quot;">​</a></h2><p>The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.</p><p>GeometryOps&#39; convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it&#39;s just that the winding order is different.</p><p>In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (<code>isconcave</code>)!</p><p>We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always <code>fix</code> it...</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/zuhrnvv.mCtKcWOr.png" alt=""></p><h2 id="Investigating-the-winding-order" tabindex="-1">Investigating the winding order <a class="header-anchor" href="#Investigating-the-winding-order" aria-label="Permalink to &quot;Investigating the winding order {#Investigating-the-winding-order}&quot;">​</a></h2><p>The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.</p><p>GeometryOps&#39; convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it&#39;s just that the winding order is different.</p><p>In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (<code>isconcave</code>)!</p><p>We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always <code>fix</code> it...</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># to plot</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">points </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> rand</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Point2{Float64}, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">100</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
@@ -44,7 +44,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">a1, p1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(fig[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], go_hull; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">npoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(go_hull), axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; title </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;MonotoneChainMethod()&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">a2, p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(fig[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], lg_hull; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">npoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(lg_hull), axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; title </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;GEOS()&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">cb </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Colorbar</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(fig[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], p1; label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Vertex number&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/jqaedzp.CvMMo01P.png" alt=""></p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/xqugbnz.C1TEVbYt.png" alt=""></p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    convex_hull([method], geometries)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Compute the convex hull of the points in `geometries`.</span></span>
@@ -74,7 +74,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> MonotoneChainMethod </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><p>GrahamScanMethod, etc. can be implemented in GO as well, if someone wants to. If we add an extension on Quickhull.jl, then that would be another algorithm.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geometries) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MonotoneChainMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(), geometries)</span></span></code></pre></div><p>TODO: have this respect the CRS by pulling it out of <code>geometries</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MonotoneChainMethod</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, geometries)</span></span></code></pre></div><p>Extract all points as tuples. We have to collect and allocate here, because DelaunayTriangulation only accepts vectors of point-like geoms.</p><p>Cleanest would be to use the iterable from GO.flatten directly, but that would require us to implement the convex hull algorithm directly.</p><p>TODO: create a specialized method that extracts only the information required, GeometryBasics points can be passed through directly.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    points </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">flatten</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(tuples, GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">PointTrait, geometries))</span></span></code></pre></div><p>Compute the convex hull using DelTri (shorthand for DelaunayTriangulation.jl).</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    hull </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> DelaunayTriangulation</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convex_hull</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(points)</span></span></code></pre></div><p>Convert the result to a <code>GI.Polygon</code> and return it. View would be more efficient here, but re-allocating is cleaner.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    point_vec </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> DelaunayTriangulation</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">get_points</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(hull)[DelaunayTriangulation</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">get_vertices</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(hull)]</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point_vec)])</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/convex_hull.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Union Polygon Clipping</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/distance" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Distance and signed distance</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -28,13 +28,13 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)); axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">x</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point_in), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">y</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point_in); color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :red</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">x</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point_out), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">y</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point_out); color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/klmxpbf.DiwGEg2f.png" alt=""></p><p>This is clearly a rectangle with one point inside and one point outside. The points are both an equal distance to the polygon. The distance to <code>point_in</code> is negative while the distance to <code>point_out</code> is positive.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/glhbvoz.DiwGEg2f.png" alt=""></p><p>This is clearly a rectangle with one point inside and one point outside. The points are both an equal distance to the polygon. The distance to <code>point_in</code> is negative while the distance to <code>point_out</code> is positive.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">distance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point_in, rect),  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># == 0</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">signed_distance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point_in, rect),  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># &lt; 0</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">signed_distance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point_out, rect)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># &gt; 0</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>(0.0, -0.5, 0.5)</span></span></code></pre></div><p>Consider also a heatmap of signed distances around this object:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">xrange </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> yrange </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> LinRange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">300</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> heatmap</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(xrange, yrange, GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">signed_distance</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point2f</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(xrange, yrange</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Ref</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(rect)); colormap </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :RdBu</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, colorrange </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.75</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.75</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">a</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(); </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Colorbar</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], p, label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Signed distance&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">); </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GeometryBasics, rect)); f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/pthbixz.DuBHk1fh.png" alt=""></p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Distance and signed distance are only implemented for points to other geometries right now. This could be extended to include distance from other geometries in the future.</p><p>The distance calculated is the Euclidean distance using the Pythagorean theorem. Also note that singed_distance only makes sense for &quot;filled-in&quot; shapes, like polygons, so it isn&#39;t implemented for curves.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _DISTANCE_TARGETS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TraitTarget{Union{GI.AbstractPolygonTrait,GI.LineStringTrait,GI.LinearRingTrait,GI.LineTrait,GI.PointTrait}}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">a</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(); </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Colorbar</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">], p, label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Signed distance&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">); </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">convert</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GeometryBasics, rect)); f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/svktjgf.DuBHk1fh.png" alt=""></p><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Distance and signed distance are only implemented for points to other geometries right now. This could be extended to include distance from other geometries in the future.</p><p>The distance calculated is the Euclidean distance using the Pythagorean theorem. Also note that singed_distance only makes sense for &quot;filled-in&quot; shapes, like polygons, so it isn&#39;t implemented for curves.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _DISTANCE_TARGETS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TraitTarget{Union{GI.AbstractPolygonTrait,GI.LineStringTrait,GI.LinearRingTrait,GI.LineTrait,GI.PointTrait}}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    distance(point, geom, ::Type{T} = Float64)::T</span></span>
@@ -198,7 +198,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> min_dist</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/distance.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Convex hull</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/equals" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Equals</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -28,7 +28,7 @@
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :blue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/njwfzgd.CgiryX2p.png" alt=""></p><p>We can see that the two lines do not share a common set of points and edges in the plot, so they are not equal:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">equals</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns false</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>false</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that while we need the same set of points and edges, they don&#39;t need to be provided in the same order for polygons. For for example, we need the same set points for two multipoints to be equal, but they don&#39;t have to be saved in the same order. The winding order also doesn&#39;t have to be the same to represent the same geometry. This requires checking every point against every other point in the two geometries we are comparing. Also, some geometries must be &quot;closed&quot; like polygons and linear rings. These will be assumed to be closed, even if they don&#39;t have a repeated last point explicitly written in the coordinates. Additionally, geometries and multi-geometries can be equal if the multi-geometry only includes that single geometry.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/pjwvvrm.CgiryX2p.png" alt=""></p><p>We can see that the two lines do not share a common set of points and edges in the plot, so they are not equal:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">equals</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns false</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>false</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that while we need the same set of points and edges, they don&#39;t need to be provided in the same order for polygons. For for example, we need the same set points for two multipoints to be equal, but they don&#39;t have to be saved in the same order. The winding order also doesn&#39;t have to be the same to represent the same geometry. This requires checking every point against every other point in the two geometries we are comparing. Also, some geometries must be &quot;closed&quot; like polygons and linear rings. These will be assumed to be closed, even if they don&#39;t have a repeated last point explicitly written in the coordinates. Additionally, geometries and multi-geometries can be equal if the multi-geometry only includes that single geometry.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    equals(geom1, geom2)::Bool</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Compare two Geometries return true if they are the same geometry.</span></span>
@@ -282,7 +282,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/equals.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/distance" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Distance and signed distance</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Contains</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -28,7 +28,7 @@
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :blue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/mvkdxvr._0R9BbFk.png" alt=""></p><p>We can see that all of the points and edges of l2 are within l1, so l1 contains l2. However, l2 does not contain l1.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">contains</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns true</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/emqcofm._0R9BbFk.png" alt=""></p><p>We can see that all of the points and edges of l2 are within l1, so l1 contains l2. However, l2 does not contain l1.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">contains</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns true</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">contains</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2, l1)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns false</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>false</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>Given that contains is the exact opposite of within, we simply pass the two inputs variables, swapped in order, to within.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool</span></span>
 <span class="line"></span>
@@ -50,7 +50,7 @@
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">```</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">contains(g1, g2) = GeometryOps.within(g2, g1)</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/contains.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/equals" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Equals</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>CoveredBy</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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diff --git a/dev/source/methods/geom_relations/coveredby.html b/dev/source/methods/geom_relations/coveredby.html
index 11e92e9a6..6102cef6f 100644
--- a/dev/source/methods/geom_relations/coveredby.html
+++ b/dev/source/methods/geom_relations/coveredby.html
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@@ -26,7 +26,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">l1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Line</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([p1, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1.0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1))</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :red</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/kliugtk.DC3TvBOO.png" alt=""></p><p>As we can see, <code>p1</code> is on the endpoint of l1. This means it is not <code>within</code>, but it does meet the definition of <code>coveredby</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coveredby</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, l1)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.</p><p>Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the <code>coveredby</code> function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2</p><p>The code for the specific implementations is in the geom_geom_processors file.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> COVEREDBY_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/odbnzej.DC3TvBOO.png" alt=""></p><p>As we can see, <code>p1</code> is on the endpoint of l1. This means it is not <code>within</code>, but it does meet the definition of <code>coveredby</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coveredby</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, l1)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.</p><p>Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the <code>coveredby</code> function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2</p><p>The code for the specific implementations is in the geom_geom_processors file.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> COVEREDBY_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> COVEREDBY_CURVE_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (over_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, cross_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> COVEREDBY_CURVE_REQUIRES </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> COVEREDBY_POLYGON_REQUIRES </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,)</span></span>
@@ -200,7 +200,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/coveredby.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Contains</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Covers</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -28,7 +28,7 @@
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1))</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :red</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/kliugtk.DC3TvBOO.png" alt=""></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">covers</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, p1)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns true</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/odbnzej.DC3TvBOO.png" alt=""></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">covers</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, p1)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns true</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">covers</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(p1, l1)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns false</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>false</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>Given that covers is the exact opposite of coveredby, we simply pass the two inputs variables, swapped in order, to coveredby.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool</span></span>
 <span class="line"></span>
@@ -50,7 +50,7 @@
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">```</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">covers(g1, g2)::Bool = GeometryOps.coveredby(g2, g1)</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/covers.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>CoveredBy</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Crossing checks</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/crosses.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Covers</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Disjoint</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/aacdycg.C3SxJ3x-.png" alt=""></p><p>We can see that none of the edges or vertices of l1 interact with l2 so they are disjoint.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">disjoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.</p><p>Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the <code>disjoint</code> function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are not allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2</p><p>The code for the specific implementations is in the geom_geom_processors file.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> DISJOINT_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/nbefvdd.C3SxJ3x-.png" alt=""></p><p>We can see that none of the edges or vertices of l1 interact with l2 so they are disjoint.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">disjoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># returns true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.</p><p>Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the <code>disjoint</code> function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are not allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2</p><p>The code for the specific implementations is in the geom_geom_processors file.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> DISJOINT_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> DISJOINT_CURVE_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (over_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, cross_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> DISJOINT_REQUIRES </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> DISJOINT_EXACT </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (exact </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(),)</span></span>
@@ -195,7 +195,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/disjoint.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Crossing checks</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Line-curve interaction</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/geom_geom_processors.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Disjoint</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Intersection checks</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">line2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Line</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">123.354492</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15.961329</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">127.22168</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">14.008696</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(line1))</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(line2))</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/gcuugnc.DeeQUply.png" alt=""></p><p>We can see that they intersect, so we expect intersects to return true, and we can visualize the intersection point in red.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">intersects</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(line1, line2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>Given that intersects is the exact opposite of disjoint, we simply pass the two inputs variables, swapped in order, to disjoint.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/pkcsydu.DeeQUply.png" alt=""></p><p>We can see that they intersect, so we expect intersects to return true, and we can visualize the intersection point in red.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">intersects</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(line1, line2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>Given that intersects is the exact opposite of disjoint, we simply pass the two inputs variables, swapped in order, to disjoint.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    intersects(geom1, geom2)::Bool</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Return true if the interiors or boundaries of the two geometries interact.</span></span>
@@ -44,7 +44,7 @@
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">```</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">intersects(geom1, geom2) = !disjoint(geom1, geom2)</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/intersects.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Line-curve interaction</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Overlaps</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :blue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/njwfzgd.CgiryX2p.png" alt=""></p><p>We can see that the two lines overlap in the plot:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">overlaps</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions automatically can return false.</p><p>For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectively, without being contained.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/pjwvvrm.CgiryX2p.png" alt=""></p><p>We can see that the two lines overlap in the plot:</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">overlaps</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it&#39;s a lot less work!</p><p>Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions automatically can return false.</p><p>For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectively, without being contained.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    overlaps(geom1, geom2)::Bool</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Compare two Geometries of the same dimension and return true if their</span></span>
@@ -229,7 +229,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    seg_val, _, _ </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _intersection_point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Float64, edge_a, edge_b; exact </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">())</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> seg_val </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">!=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> line_out</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/overlaps.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Intersection checks</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Touches</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1))</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2))</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/iejgkmu.BEFUMtlf.png" alt=""></p><p>We can see that these two lines touch only at their endpoints.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">touches</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.</p><p>Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the <code>touches</code> function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - at least one point of g1 is required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2</p><p>The code for the specific implementations is in the geom_geom_processors file.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> TOUCHES_POINT_ALLOWED </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/wpeykob.BEFUMtlf.png" alt=""></p><p>We can see that these two lines touch only at their endpoints.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">touches</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.</p><p>Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the <code>touches</code> function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - at least one point of g1 is required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2</p><p>The code for the specific implementations is in the geom_geom_processors file.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> TOUCHES_POINT_ALLOWED </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> TOUCHES_CURVE_ALLOWED </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (over_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, cross_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> TOUCHES_POLYGON_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> TOUCHES_REQUIRES </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_require </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
@@ -191,7 +191,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/touches.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Overlaps</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Within</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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diff --git a/dev/source/methods/geom_relations/within.html b/dev/source/methods/geom_relations/within.html
index cba82b1de..ed196a7a7 100644
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@@ -28,7 +28,7 @@
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :blue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2), color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :orange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/mvkdxvr._0R9BbFk.png" alt=""></p><p>We can see that all of the points and edges of l2 are within l1, so l2 is within l1, but l1 is not within l2</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">within</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># false</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/emqcofm._0R9BbFk.png" alt=""></p><p>We can see that all of the points and edges of l2 are within l1, so l2 is within l1, but l1 is not within l2</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">within</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l1, l2)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># false</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">within</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(l2, l1)  </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># true</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>true</span></span></code></pre></div><h2 id="implementation" tabindex="-1">Implementation <a class="header-anchor" href="#implementation" aria-label="Permalink to &quot;Implementation&quot;">​</a></h2><p>This is the GeoInterface-compatible implementation.</p><p>First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.</p><p>Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the <code>within</code> function and arguments <code>g1</code> and <code>g2</code>, this criteria is as follows: - points of <code>g1</code> are allowed to be in the interior of <code>g2</code> (either through overlap or crossing for lines) - points of <code>g1</code> are allowed to be on the boundary of <code>g2</code> - points of <code>g1</code> are not allowed to be in the exterior of <code>g2</code> - at least one point of <code>g1</code> is required to be in the interior of <code>g2</code> - no points of <code>g1</code> are required to be on the boundary of <code>g2</code> - no points of <code>g1</code> are required to be in the exterior of <code>g2</code></p><p>The code for the specific implementations is in the geom_geom_processors file.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> WITHIN_POINT_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> WITHIN_CURVE_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (over_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, cross_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> WITHIN_POLYGON_ALLOWS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (in_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, on_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, out_allow </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
@@ -210,7 +210,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/geom_relations/within.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Touches</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Orientation</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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diff --git a/dev/source/methods/orientation.html b/dev/source/methods/orientation.html
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 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    _isparallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(bx </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ax, by </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ay, dx </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> cx, dy </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> cy)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_isparallel</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Δx1, Δy1, Δx2, Δy2) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (Δx1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Δy2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Δy1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Δx2)</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/orientation.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Within</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Polygonizing raster data</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -306,7 +306,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> edges</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/methods/polygonize.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Orientation</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Not implemented yet</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> buffer </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> convexhull </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">function</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> concavehull </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/not_implemented_yet.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Polygonizing raster data</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/primitives" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>source/primitives</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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class="vpi-chevron-down text-icon" data-v-e5380155></span></span></button><div class="menu" data-v-e5380155><div class="VPMenu" data-v-e5380155 data-v-7dd3104a><div class="items" data-v-7dd3104a><!--[--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-8b74d055><!--[-->GeometryOps.jl<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Methods</p><!--[--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-8b74d055><!--[-->Angles<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/area" data-v-8b74d055><!--[-->Area and signed area<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-8b74d055><!--[-->Barycentric coordinates<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-8b74d055><!--[-->Buffer<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-8b74d055><!--[-->Centroid<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-8b74d055><!--[-->Convex hull<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-8b74d055><!--[-->Distance and signed distance<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-8b74d055><!--[-->Equals<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-8b74d055><!--[-->Orientation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-8b74d055><!--[-->Polygonizing raster data<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-8b74d055><!--[-->Not implemented yet<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link active" href="/GeometryOps.jl/dev/source/primitives" data-v-8b74d055><!--[-->source/primitives<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Transformations</p><!--[--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-8b74d055><!--[-->Extent embedding<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-8b74d055><!--[-->Coordinate flipping<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-8b74d055><!--[-->Geometry reprojection<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-8b74d055><!--[-->Segmentize<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-8b74d055><!--[-->Geometry simplification<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-8b74d055><!--[-->Pointwise transformation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-8b74d055><!--[-->Tuple conversion<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/types" data-v-8b74d055><!--[-->Types<!--]--></a></div><!--]--><!--[--><div 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data-v-18756405><span class="visually-hidden" id="sidebar-aria-label" data-v-18756405> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0" data-v-9e426adc data-v-196b2e5f><!----><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/introduction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Introduction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/api" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>API Reference</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Tutorials</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/creating_geometry" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Creating Geometry</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Spatial Joins</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Explanations</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible has-active" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav 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@@ -42,7 +42,7 @@
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">include</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;geometry_utils.jl&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/src/GeometryOpsCore.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/utils" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Utility functions</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/src/apply" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>apply</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -170,7 +170,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><p>Here we use the compiler directive <code>@assume_effects :foldable</code> to force the compiler to lookup through the closure. This alone makes e.g. <code>flip</code> 2.5x faster!</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Base</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@assume_effects</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :foldable</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> @inline</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _maptasks</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">F</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, taskrange, threaded</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">_False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Vector</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> where</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> F</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    map</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, taskrange)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/src/apply.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>source/src/GeometryOpsCore</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>applyreduce</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">Base</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@assume_effects</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :foldable</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> function</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _mapreducetasks</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">F</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, op, taskrange, threaded</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">_False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; init) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">where</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> F</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    mapreduce</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, op, taskrange; init)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/src/applyreduce.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/src/apply" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>apply</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>source/src/geometry_utils</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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class="vpi-chevron-down text-icon" data-v-e5380155></span></span></button><div class="menu" data-v-e5380155><div class="VPMenu" data-v-e5380155 data-v-7dd3104a><div class="items" data-v-7dd3104a><!--[--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-8b74d055><!--[-->GeometryOps.jl<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Methods</p><!--[--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-8b74d055><!--[-->Angles<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/area" data-v-8b74d055><!--[-->Area and signed area<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-8b74d055><!--[-->Barycentric coordinates<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-8b74d055><!--[-->Buffer<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-8b74d055><!--[-->Centroid<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-8b74d055><!--[-->Convex hull<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-8b74d055><!--[-->Distance and signed distance<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-8b74d055><!--[-->Equals<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-8b74d055><!--[-->Orientation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-8b74d055><!--[-->Polygonizing raster data<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-8b74d055><!--[-->Not implemented yet<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/primitives" data-v-8b74d055><!--[-->source/primitives<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Transformations</p><!--[--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-8b74d055><!--[-->Extent embedding<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-8b74d055><!--[-->Coordinate flipping<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-8b74d055><!--[-->Geometry reprojection<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-8b74d055><!--[-->Segmentize<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-8b74d055><!--[-->Geometry simplification<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-8b74d055><!--[-->Pointwise transformation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-8b74d055><!--[-->Tuple conversion<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/types" data-v-8b74d055><!--[-->Types<!--]--></a></div><!--]--><!--[--><div 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data-v-18756405><span class="visually-hidden" id="sidebar-aria-label" data-v-18756405> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0" data-v-9e426adc data-v-196b2e5f><!----><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/introduction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Introduction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/api" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>API Reference</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Tutorials</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/creating_geometry" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Creating Geometry</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Spatial Joins</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Explanations</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible has-active" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible has-active" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible has-active" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" 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class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_linearring</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">parent</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom); extent</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">extent, crs</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">crs)</span></span>
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">_linearring</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GI.LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> geom</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/src/geometry_utils.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>applyreduce</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Keyword docs</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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index 8d806c1cd..f94ce8820 100644
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 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CRS_KEYWORD</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$CALC_EXTENT_KEYWORD</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/src/keyword_docs.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>source/src/geometry_utils</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Other primitives (unwrap, flatten, etc)</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> T{false,false}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(child_geoms; crs, extent)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/src/other_primitives.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Keyword docs</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/src/types" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Types</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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aria-expanded="false" data-v-e5380155><span class="text" data-v-e5380155><!----><span data-v-e5380155>Tutorials</span><span class="vpi-chevron-down text-icon" data-v-e5380155></span></span></button><div class="menu" data-v-e5380155><div class="VPMenu" data-v-e5380155 data-v-7dd3104a><div class="items" data-v-7dd3104a><!--[--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/tutorials/creating_geometry" data-v-8b74d055><!--[-->Creating Geometry<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-8b74d055><!--[-->Spatial Joins<!--]--></a></div><!--]--><!--]--></div><!--[--><!--]--></div></div></div><!--]--><!--[--><div class="VPFlyout VPNavBarMenuGroup" data-v-e6d46098 data-v-e5380155><button type="button" class="button" aria-haspopup="true" aria-expanded="false" data-v-e5380155><span class="text" 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class="vpi-chevron-down text-icon" data-v-e5380155></span></span></button><div class="menu" data-v-e5380155><div class="VPMenu" data-v-e5380155 data-v-7dd3104a><div class="items" data-v-7dd3104a><!--[--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-8b74d055><!--[-->GeometryOps.jl<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Methods</p><!--[--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-8b74d055><!--[-->Angles<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/area" data-v-8b74d055><!--[-->Area and signed area<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-8b74d055><!--[-->Barycentric coordinates<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-8b74d055><!--[-->Buffer<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-8b74d055><!--[-->Centroid<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-8b74d055><!--[-->Convex hull<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-8b74d055><!--[-->Distance and signed distance<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-8b74d055><!--[-->Equals<!--]--></a></div><!--]--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-8b74d055><!--[-->Orientation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-8b74d055><!--[-->Polygonizing raster data<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-8b74d055><!--[-->Not implemented yet<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/primitives" data-v-8b74d055><!--[-->source/primitives<!--]--></a></div><!--]--><!--[--><div class="VPMenuGroup" data-v-7dd3104a data-v-48c802d0><p class="title" data-v-48c802d0>Transformations</p><!--[--><!--[--><!----><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-8b74d055><!--[-->Extent embedding<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-8b74d055><!--[-->Coordinate flipping<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-8b74d055><!--[-->Geometry reprojection<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-8b74d055><!--[-->Segmentize<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-8b74d055><!--[-->Geometry simplification<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-8b74d055><!--[-->Pointwise transformation<!--]--></a></div><!--]--><!--[--><div class="VPMenuLink" data-v-48c802d0 data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-8b74d055><!--[-->Tuple conversion<!--]--></a></div><!--]--><!--]--></div><!--]--><!--[--><div class="VPMenuLink" data-v-7dd3104a data-v-8b74d055><a class="VPLink link" href="/GeometryOps.jl/dev/source/types" data-v-8b74d055><!--[-->Types<!--]--></a></div><!--]--><!--[--><div 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data-v-18756405><span class="visually-hidden" id="sidebar-aria-label" data-v-18756405> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0" data-v-9e426adc data-v-196b2e5f><!----><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/introduction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Introduction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/api" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>API Reference</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Tutorials</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/creating_geometry" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Creating Geometry</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Spatial Joins</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Explanations</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible has-active" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible has-active" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible has-active" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f 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data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div class="content" data-v-b38bf2ff><div class="outline-marker" data-v-b38bf2ff></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-b38bf2ff>On this page</div><ul class="VPDocOutlineItem root" data-v-b38bf2ff data-v-3f927ebe><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-6d7b3c46></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-83890dd9><div class="content-container" data-v-83890dd9><!--[--><!--]--><main class="main" data-v-83890dd9><div style="position:relative;" class="vp-doc _GeometryOps_jl_dev_source_src_types" data-v-83890dd9><div><h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This defines core types that the GeometryOps ecosystem uses, and that are usable in more than just GeometryOps.</p><h2 id="Manifold" tabindex="-1"><code>Manifold</code> <a class="header-anchor" href="#Manifold" aria-label="Permalink to &quot;`Manifold` {#Manifold}&quot;">​</a></h2><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>In GeometryOps (and geodesy more generally), there are three manifolds we care about:</p><ul><li><p><code>Linear</code>: the 2d plane, a completely Euclidean manifold</p></li><li><p><code>Spherical</code>: the unit sphere, but one where areas are multiplied by the radius of the Earth. This is not Euclidean globally, but all map projections attempt to represent the sphere on the Euclidean 2D plane to varying degrees of success.</p></li><li><p><code>Geodesic</code>: the ellipsoid, the closest we can come to representing the Earth by a simple geometric shape. Parametrized by <code>semimajor_axis</code> and <code>inv_flattening</code>.</p></li></ul><p>Generally, we aim to have <code>Linear</code> and <code>Spherical</code> be operable everywhere, whereas <code>Geodesic</code> will only apply in specific circumstances. Currently, those circumstances are <code>area</code> and <code>segmentize</code>, but this could be extended with time and <a href="https://github.com/JuliaGeo/SphericalGeodesics.jl" target="_blank" rel="noreferrer">https://github.com/JuliaGeo/SphericalGeodesics.jl</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Linear, Spherical, Geodesic</span></span>
+    <div id="app"><div class="Layout" data-v-a9a9e638><!--[--><!--]--><!--[--><span tabindex="-1" data-v-c3508ec8></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-c3508ec8> Skip to content </a><!--]--><!----><header class="VPNav" data-v-a9a9e638 data-v-f1e365da><div class="VPNavBar" data-v-f1e365da data-v-822684d1><div class="wrapper" data-v-822684d1><div class="container" data-v-822684d1><div class="title" data-v-822684d1><div class="VPNavBarTitle has-sidebar" data-v-822684d1 data-v-28a961f9><a class="title" href="/GeometryOps.jl/dev/" data-v-28a961f9><!--[--><!--]--><!----><span data-v-28a961f9>GeometryOps.jl</span><!--[--><!--]--></a></div></div><div class="content" data-v-822684d1><div class="content-body" data-v-822684d1><!--[--><!--]--><div class="VPNavBarSearch search" data-v-822684d1><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span 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data-v-18756405><span class="visually-hidden" id="sidebar-aria-label" data-v-18756405> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0" data-v-9e426adc data-v-196b2e5f><!----><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/introduction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Introduction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/api" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>API Reference</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div 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class="VPLink link link" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Spatial Joins</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Explanations</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Paradigms</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/explanations/peculiarities" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Peculiarities</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-9e426adc><section class="VPSidebarItem level-0 collapsible has-active" data-v-9e426adc data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h2 class="text" data-v-196b2e5f>Source code</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>GeometryOps.jl</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Methods</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/angles" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Angles</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/area" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Area and signed area</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/barycentric" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Barycentric coordinates</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/centroid" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Centroid</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Clipping</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/clipping_processor" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon clipping helpers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/coverage" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>What is coverage?</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/cut" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygon cutting</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/difference" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Difference Polygon Clipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/intersection" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Intersection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/predicates" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>If we want to inject adaptivity, we would do something like:</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/clipping/union" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Union Polygon Clipping</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/convex_hull" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Convex hull</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/distance" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Distance and signed distance</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/equals" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Equals</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Geom_relations</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/contains" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Contains</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/coveredby" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>CoveredBy</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/covers" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Covers</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/crosses" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Crossing checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/disjoint" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Disjoint</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/geom_geom_processors" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Line-curve interaction</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/intersects" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersection checks</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/overlaps" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Overlaps</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/touches" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Touches</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/geom_relations/within" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Within</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/orientation" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Orientation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/methods/polygonize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Polygonizing raster data</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/not_implemented_yet" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Not implemented yet</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/primitives</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Transformations</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Correction</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Closed Rings</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry Corrections</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Intersecting Polygons</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Extent embedding</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Coordinate flipping</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry reprojection</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Geometry simplification</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Pointwise transformation</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-2 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Tuple conversion</p><!--]--></a><!----></div><!----></div><!--]--></div></section><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Utility functions</p><!--]--></a><!----></div><!----></div><section class="VPSidebarItem level-1 collapsible has-active" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>GeometryOpsCore</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible has-active" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>Src</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/GeometryOpsCore</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/apply" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>apply</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/applyreduce" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>applyreduce</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/geometry_utils" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/src/geometry_utils</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/keyword_docs" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Keyword docs</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Other primitives (unwrap, flatten, etc)</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/src/types" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Types</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><section class="VPSidebarItem level-1 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h3 class="text" data-v-196b2e5f>Extensions</h3><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsFlexiJoinsExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsLibGEOSExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/buffer" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/buffer</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Segmentize</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simple_overrides" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>Simple overrides</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsLibGEOSExt/simplify" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsLibGEOSExt/simplify</p><!--]--></a><!----></div><!----></div><!--]--></div></section><section class="VPSidebarItem level-2 collapsible" data-v-196b2e5f data-v-196b2e5f><div class="item" role="button" tabindex="0" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><h4 class="text" data-v-196b2e5f>GeometryOpsProjExt</h4><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-196b2e5f><span class="vpi-chevron-right caret-icon" data-v-196b2e5f></span></div></div><div class="items" data-v-196b2e5f><!--[--><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/GeometryOpsProjExt" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/GeometryOpsProjExt</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/reproject" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/reproject</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-3 is-link" data-v-196b2e5f data-v-196b2e5f><div class="item" data-v-196b2e5f><div class="indicator" data-v-196b2e5f></div><a class="VPLink link link" href="/GeometryOps.jl/dev/source/GeometryOpsProjExt/segmentize" data-v-196b2e5f><!--[--><p class="text" data-v-196b2e5f>source/GeometryOpsProjExt/segmentize</p><!--]--></a><!----></div><!----></div><!--]--></div></section><!--]--></div></section><!--]--></div></section></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-a9a9e638 data-v-91765379><div class="VPDoc has-sidebar has-aside" data-v-91765379 data-v-83890dd9><!--[--><!--]--><div class="container" data-v-83890dd9><div class="aside" data-v-83890dd9><div class="aside-curtain" data-v-83890dd9></div><div class="aside-container" data-v-83890dd9><div class="aside-content" data-v-83890dd9><div class="VPDocAside" data-v-83890dd9 data-v-6d7b3c46><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-6d7b3c46 data-v-b38bf2ff><div class="content" data-v-b38bf2ff><div class="outline-marker" data-v-b38bf2ff></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-b38bf2ff>On this page</div><ul class="VPDocOutlineItem root" data-v-b38bf2ff data-v-3f927ebe><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-6d7b3c46></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-83890dd9><div class="content-container" data-v-83890dd9><!--[--><!--]--><main class="main" data-v-83890dd9><div style="position:relative;" class="vp-doc _GeometryOps_jl_dev_source_src_types" data-v-83890dd9><div><h1 id="types" tabindex="-1">Types <a class="header-anchor" href="#types" aria-label="Permalink to &quot;Types&quot;">​</a></h1><p>This defines core types that the GeometryOps ecosystem uses, and that are usable in more than just GeometryOps.</p><h2 id="Manifold" tabindex="-1"><code>Manifold</code> <a class="header-anchor" href="#Manifold" aria-label="Permalink to &quot;`Manifold` {#Manifold}&quot;">​</a></h2><p>A manifold is mathematically defined as a topological space that resembles Euclidean space locally.</p><p>In GeometryOps (and geodesy more generally), there are three manifolds we care about:</p><ul><li><p><code>Planar</code>: the 2d plane, a completely Euclidean manifold</p></li><li><p><code>Spherical</code>: the unit sphere, but one where areas are multiplied by the radius of the Earth. This is not Euclidean globally, but all map projections attempt to represent the sphere on the Euclidean 2D plane to varying degrees of success.</p></li><li><p><code>Geodesic</code>: the ellipsoid, the closest we can come to representing the Earth by a simple geometric shape. Parametrized by <code>semimajor_axis</code> and <code>inv_flattening</code>.</p></li></ul><p>Generally, we aim to have <code>Linear</code> and <code>Spherical</code> be operable everywhere, whereas <code>Geodesic</code> will only apply in specific circumstances. Currently, those circumstances are <code>area</code> and <code>segmentize</code>, but this could be extended with time and <a href="https://github.com/JuliaGeo/SphericalGeodesics.jl" target="_blank" rel="noreferrer">https://github.com/JuliaGeo/SphericalGeodesics.jl</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Planar, Spherical, Geodesic</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> TraitTarget</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BoolsAsTypes, _True, _False, _booltype</span></span>
 <span class="line"></span>
@@ -28,17 +28,19 @@
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">We use the manifold definition to define the space in which an operation should be performed, or where a geometry lies.</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Currently we have `Linear`, `Spherical`, and `Geodesic` manifolds.</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Currently we have `Planar`, `Spherical`, and `Geodesic` manifolds.</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Manifold </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Linear()</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    Planar()</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">A linear manifold means that the space is completely Euclidean,</span></span>
-<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">and planar geometry suffices.</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">A planar manifold refers to the 2D Euclidean plane.</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">Z coordinates may be accepted but will not influence geometry calculations, which</span></span>
+<span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">are done purely on 2D geometry.  This is the standard &quot;2.5D&quot; model used by e.g. GEOS.</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Linear </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Manifold</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">struct</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Planar </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Manifold</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
@@ -124,7 +126,7 @@
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@inline</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _booltype</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Bool</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">BoolsAsTypes</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">?</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _True</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> _False</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@inline</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> _booltype</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">BoolsAsTypes</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">BoolsAsTypes</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/src/types.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/src/other_primitives" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Other primitives (unwrap, flatten, etc)</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -47,7 +47,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    else</span></span></code></pre></div><p>Assemble the ring as a vector</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        tups </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuples</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ring))</span></span></code></pre></div><p>Close the ring</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        push!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(tups, tups[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span></code></pre></div><p>Return an actual ring</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(tups)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/transformations/correction/closed_ring.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/primitives" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>source/primitives</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Geometry Corrections</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -48,7 +48,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> final_geometry</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><h2 id="Available-corrections" tabindex="-1">Available corrections <a class="header-anchor" href="#Available-corrections" aria-label="Permalink to &quot;Available corrections {#Available-corrections}&quot;">​</a></h2><details class="jldocstring custom-block" open><summary><a id="GeometryOps.ClosedRing-source-transformations-correction-geometry_correction" href="#GeometryOps.ClosedRing-source-transformations-correction-geometry_correction"><span class="jlbinding">GeometryOps.ClosedRing</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">ClosedRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that a polygon&#39;s exterior and interior rings are closed.</p><p>It can be called on any geometry correction as usual.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/closed_ring.jl#L38-L46" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction" href="#GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction"><span class="jlbinding">GeometryOps.DiffIntersectingPolygons</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">DiffIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygons included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be made nonintersecting through the <a href="/GeometryOps.jl/dev/api#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T&lt;:AbstractFloat"><code>difference</code></a> operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>, <a href="/GeometryOps.jl/dev/api#GeometryOps.UnionIntersectingPolygons"><code>UnionIntersectingPolygons</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L92-L99" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2" href="#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2"><span class="jlbinding">GeometryOps.GeometryCorrection</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryCorrection</span></span></code></pre></div><p>This abstract type represents a geometry correction.</p><p><strong>Interface</strong></p><p>Any <code>GeometryCorrection</code> must implement two functions: * <code>application_level(::GeometryCorrection)::AbstractGeometryTrait</code>: This function should return the <code>GeoInterface</code> trait that the correction is intended to be applied to, like <code>PointTrait</code> or <code>LineStringTrait</code> or <code>PolygonTrait</code>. * <code>(::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry)</code>: This function should apply the correction to the given geometry, and return a new geometry.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/geometry_correction.jl#L28-L38" target="_blank" rel="noreferrer">source</a></p></details><details class="jldocstring custom-block" open><summary><a id="GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction" href="#GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction"><span class="jlbinding">GeometryOps.UnionIntersectingPolygons</span></a> <span class="VPBadge info jlObjectType jlType"><!--[-->Type<!--]--></span></summary><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">UnionIntersectingPolygons</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeometryCorrection</span></span></code></pre></div><p>This correction ensures that the polygon&#39;s included in a multipolygon aren&#39;t intersecting. If any polygon&#39;s are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.</p><p>See also <a href="/GeometryOps.jl/dev/api#GeometryOps.GeometryCorrection"><code>GeometryCorrection</code></a>.</p><p><a href="https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/transformations/correction/intersecting_polygons.jl#L47-L56" target="_blank" rel="noreferrer">source</a></p></details><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/transformations/correction/geometry_correction.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/transformations/correction/closed_ring" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Closed Rings</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Intersecting Polygons</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> diff_multipoly</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/transformations/correction/intersecting_polygons.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/transformations/correction/geometry_correction" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Geometry Corrections</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/transformations/extent" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Extent embedding</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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index de5ebe94a..d367a9ccf 100644
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 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">embed_extent(x; threaded=false, crs=nothing) =</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    apply(identity, GI.PointTrait(), x; calc_extent=true, threaded, crs)</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/transformations/extent.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/transformations/correction/intersecting_polygons" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Intersecting Polygons</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/transformations/flip" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Coordinate flipping</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(linear)); label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Linear&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">collect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geodesic)); label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Geodesic&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">axislegend</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a; position </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :lt</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/qhvcraa.D5-bot8v.png" alt=""></p><p>There are two methods available for segmentizing geometries at the moment:</p><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>LinearSegments</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>GeodesicSegments</code>. Check Documenter&#39;s build log for details.</p></div><h2 id="benchmark" tabindex="-1">Benchmark <a class="header-anchor" href="#benchmark" aria-label="Permalink to &quot;Benchmark&quot;">​</a></h2><p>We benchmark our method against LibGEOS&#39;s <code>GEOSDensify</code> method, which is a similar method for densifying geometries.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BenchmarkTools</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BenchmarkGroup</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/peiypkn.D5-bot8v.png" alt=""></p><p>There are two methods available for segmentizing geometries at the moment:</p><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>LinearSegments</code>. Check Documenter&#39;s build log for details.</p></div><div class="warning custom-block"><p class="custom-block-title">Missing docstring.</p><p>Missing docstring for <code>GeodesicSegments</code>. Check Documenter&#39;s build log for details.</p></div><h2 id="benchmark" tabindex="-1">Benchmark <a class="header-anchor" href="#benchmark" aria-label="Permalink to &quot;Benchmark&quot;">​</a></h2><p>We benchmark our method against LibGEOS&#39;s <code>GEOSDensify</code> method, which is a similar method for densifying geometries.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BenchmarkTools</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BenchmarkGroup</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Chairmarks</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> @be</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Main</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> plot_trials</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
@@ -76,7 +76,7 @@
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot_trials</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(segmentize_suite)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/qvxoffb.B4GCyiuv.png" alt=""></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SegmentizeMethod </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot_trials</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(segmentize_suite)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/drwzysr.DHnfiHhT.png" alt=""></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">abstract type</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SegmentizeMethod </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;&quot;&quot;</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    LinearSegments(; max_distance::Real)</span></span>
 <span class="line"></span>
@@ -171,7 +171,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span></code></pre></div><p>End the line with the original coordinate, to avoid any multiplication errors.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    push!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(new_coords, (x2, y2))</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> nothing</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><div class="tip custom-block"><p class="custom-block-title">Note</p><p>The <code>_fill_linear_kernel</code> definition for <code>GeodesicSegments</code> is in the <code>GeometryOpsProjExt</code> extension module, in the <code>segmentize.jl</code> file.</p></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/transformations/segmentize.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/transformations/reproject" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Geometry reprojection</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/transformations/simplify" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Geometry simplification</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">poly!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(simple; label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Simplified&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">axislegend</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/pupvizg.Bglvb-jp.png" alt=""></p><h2 id="benchmark" tabindex="-1">Benchmark <a class="header-anchor" href="#benchmark" aria-label="Permalink to &quot;Benchmark&quot;">​</a></h2><p>We benchmark these methods against LibGEOS&#39;s <code>simplify</code> implementation, which uses the Douglas-Peucker algorithm.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BenchmarkTools, Chairmarks, GeoJSON, CairoMakie</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/aplmaug.Bglvb-jp.png" alt=""></p><h2 id="benchmark" tabindex="-1">Benchmark <a class="header-anchor" href="#benchmark" aria-label="Permalink to &quot;Benchmark&quot;">​</a></h2><p>We benchmark these methods against LibGEOS&#39;s <code>simplify</code> implementation, which uses the Douglas-Peucker algorithm.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> BenchmarkTools, Chairmarks, GeoJSON, CairoMakie</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO, LibGEOS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG, GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CoordinateTransformations</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> NaturalEarth</span></span>
@@ -41,7 +41,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">usa_poly </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getgeom</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa_multipoly, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">findmax</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">area</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getgeom</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa_multipoly)))[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]) </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># isolate the poly with the most area</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">usa_centroid </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">centroid</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa_poly)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">usa_reflected </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">transform</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Translation</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa_centroid</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">∘</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> LinearMap</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">rotmatrix2d</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">π</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">∘</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Translation</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">((</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa_centroid)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">...</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), usa_poly)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> plot</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa_poly; label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Original&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#; plot!(usa_reflected; label = &quot;Reflected&quot;)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/vygiwkc.B94PsR1K.png" alt=""></p><p>This is the complex polygon we&#39;ll be benchmarking.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">simplify_suite </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BenchmarkGroup</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;Simplify&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> plot</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa_poly; label </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;Original&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; aspect </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataAspect</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()))</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">#; plot!(usa_reflected; label = &quot;Reflected&quot;)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/bqfrspk.B94PsR1K.png" alt=""></p><p>This is the complex polygon we&#39;ll be benchmarking.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">simplify_suite </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BenchmarkGroup</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;Simplify&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">singlepoly_suite </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BenchmarkGroup</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;Polygon&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;title:Polygon simplify&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;subtitle:Random blob&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">include</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">joinpath</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">dirname</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">dirname</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">pathof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO))), </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;test&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;data&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;polygon_generation.jl&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
@@ -55,7 +55,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    singlepoly_suite[</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;LibGEOS&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">npoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geom)] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> @be</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> LG</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">$</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geom_lg, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) seconds</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
 <span class="line"></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot_trials</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(singlepoly_suite; legend_position</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TopRight</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()), legend_valign </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, legend_halign </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1.2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, legend_orientation </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :horizontal</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/zsadsyt.eBFFCdzW.png" alt=""></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">multipoly_suite </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BenchmarkGroup</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;MultiPolygon&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;title:Multipolygon simplify&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;subtitle:USA multipolygon&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot_trials</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(singlepoly_suite; legend_position</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">TopRight</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()), legend_valign </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, legend_halign </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1.2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, legend_orientation </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :horizontal</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/xeckrgt.B387vho3.png" alt=""></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">multipoly_suite </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> BenchmarkGroup</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;MultiPolygon&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;title:Multipolygon simplify&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;subtitle:USA multipolygon&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> frac </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">in</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> exp10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinRange</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">log10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">log10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)) </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">TODO</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">: this example isn&#39;t the best.  How can we get this better?</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    geom </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">simplify</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(usa_multipoly; ratio </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> frac)</span></span>
@@ -74,7 +74,7 @@
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    # GO-VW : $(GI.npoint( GO.simplify((GO.VisvalingamWhyatt(; tol = _tol)), geom_go)))</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    println</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span>
-<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot_trials</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(multipoly_suite)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/tqkcbnu.Sawrgm2c.png" alt=""></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> simplify, VisvalingamWhyatt, DouglasPeucker, RadialDistance</span></span>
+<span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot_trials</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(multipoly_suite)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/qwcxfje.B3lHbAIs.png" alt=""></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">export</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> simplify, VisvalingamWhyatt, DouglasPeucker, RadialDistance</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> _SIMPLIFY_TARGET </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> TraitTarget{Union{GI.PolygonTrait, GI.AbstractCurveTrait, GI.MultiPointTrait, GI.PointTrait}}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">const</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> MIN_POINTS </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 3</span></span>
@@ -507,7 +507,7 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> nothing</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/transformations/simplify.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/transformations/segmentize" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Segmentize</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/transformations/transform" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Pointwise transformation</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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index 350caf1b8..11c3dda5e 100644
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@@ -55,7 +55,7 @@
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">        error</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$(f)</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> requires a `</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">$(kw)</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">` keyword argument to the `GEOS` algorithm, which was not provided.&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    end</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/types.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/transformations/tuples" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Tuple conversion</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/utils" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Utility functions</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -137,7 +137,7 @@
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    (x1, x2), (y1, y2) = extent.X, extent.Y</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">    return x1 ≤ GI.x(p) ≤ x2 &amp;&amp; y1 ≤ GI.y(p) ≤ y2</span></span>
 <span class="line"><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">end</span></span></code></pre></div><hr><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl" target="_blank" rel="noreferrer">Literate.jl</a>.</em></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/source/utils.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/source/types" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Types</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/source/src/GeometryOpsCore" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>source/src/GeometryOpsCore</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -27,37 +27,37 @@
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Proj</span></span>
 <span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># Plotting</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie</span></span>
-<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoMakie</span></span></code></pre></div><h2 id="creating-geometry" tabindex="-1">Creating and plotting geometries <a class="header-anchor" href="#creating-geometry" aria-label="Permalink to &quot;Creating and plotting geometries {#creating-geometry}&quot;">​</a></h2><p>Let&#39;s start by making a single <code>Point</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((0, 0), nothing)</span></span></code></pre></div><p>Now, let&#39;s plot our point.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig, ax, plt </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> plot</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/tzkihiu.Dz86q2IX.png" alt=""></p><p>Let&#39;s create a set of points, and have a bit more fun with plotting.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoMakie</span></span></code></pre></div><h2 id="creating-geometry" tabindex="-1">Creating and plotting geometries <a class="header-anchor" href="#creating-geometry" aria-label="Permalink to &quot;Creating and plotting geometries {#creating-geometry}&quot;">​</a></h2><p>Let&#39;s start by making a single <code>Point</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">point </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((0, 0), nothing)</span></span></code></pre></div><p>Now, let&#39;s plot our point.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig, ax, plt </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> plot</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(point)</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/pqtqdtt.Dz86q2IX.png" alt=""></p><p>Let&#39;s create a set of points, and have a bit more fun with plotting.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">points </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x,y));</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ax, points; marker </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &#39;✈&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, markersize </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 30</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/xpwigpz.Cx40vhB3.png" alt=""></p><p><code>Point</code>s can be combined into a single <code>MultiPoint</code> geometry.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/ixoxtgg.Cx40vhB3.png" alt=""></p><p><code>Point</code>s can be combined into a single <code>MultiPoint</code> geometry.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">multipoint </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">MultiPoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x, y)));</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ax, multipoint; marker </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &#39;☁&#39;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, markersize </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 30</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/iwkpryh.0OJvb21A.png" alt=""></p><p>Let&#39;s create a <code>LineString</code> connecting two points.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">p1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/dyradks.0OJvb21A.png" alt=""></p><p>Let&#39;s create a <code>LineString</code> connecting two points.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">p1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">p2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">line </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([p1,p2])</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ax, line; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :red</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/bndakij.DaovVbE6.png" alt=""></p><p>Now, let&#39;s create a line connecting multiple points (i.e. a <code>LineString</code>). This time we get a bit more fancy with point creation.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/gvlnqpi.DaovVbE6.png" alt=""></p><p>Now, let&#39;s create a line connecting multiple points (i.e. a <code>LineString</code>). This time we get a bit more fancy with point creation.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ϴ </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.01</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2pi</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(ϴ) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.((k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ϴ);</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> sin</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(ϴ) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> sin</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.((k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ϴ);</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">lines </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x,y)));</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ax, lines; linewidth </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/yjgrvbf.rOsRk89v.png" alt=""></p><p>We can also create a single <code>LinearRing</code> trait, the building block of a polygon. A <code>LinearRing</code> is simply a <code>LineString</code> with the same beginning and endpoint, i.e., an arbitrary closed shape composed of point pairs.</p><p>A <code>LinearRing</code> is composed of a series of points.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ring1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(lines));</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)</span></span></code></pre></div><p>Now, let&#39;s make the <code>LinearRing</code> into a <code>Polygon</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([ring1]);</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>Now, we can use GeometryOps and CoordinateTransformations to shift <code>polygon1</code> up, to avoid plotting over our earlier results. This is done through the <a href="/GeometryOps.jl/dev/api#GeometryOps.transform">GeometryOps.transform</a> function.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">xoffset </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/yarbqsp.rOsRk89v.png" alt=""></p><p>We can also create a single <code>LinearRing</code> trait, the building block of a polygon. A <code>LinearRing</code> is simply a <code>LineString</code> with the same beginning and endpoint, i.e., an arbitrary closed shape composed of point pairs.</p><p>A <code>LinearRing</code> is composed of a series of points.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ring1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(lines));</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)</span></span></code></pre></div><p>Now, let&#39;s make the <code>LinearRing</code> into a <code>Polygon</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([ring1]);</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>Now, we can use GeometryOps and CoordinateTransformations to shift <code>polygon1</code> up, to avoid plotting over our earlier results. This is done through the <a href="/GeometryOps.jl/dev/api#GeometryOps.transform">GeometryOps.transform</a> function.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">xoffset </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">yoffset </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 50.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CoordinateTransformations</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Translation</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(xoffset, yoffset);</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">transform</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, polygon1);</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(polygon1)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/djuoqnk.4wfjCtJV.png" alt=""></p><p>Polygons can contain &quot;holes&quot;. The first <code>LinearRing</code> in a polygon is the exterior, and all subsequent <code>LinearRing</code>s are treated as holes in the leading <code>LinearRing</code>.</p><p><code>GeoInterface</code> offers the <code>GI.getexterior(poly)</code> and <code>GI.gethole(poly)</code> methods to get the exterior ring and an iterable of holes, respectively.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">hole </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(multipoint))</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/hircove.4wfjCtJV.png" alt=""></p><p>Polygons can contain &quot;holes&quot;. The first <code>LinearRing</code> in a polygon is the exterior, and all subsequent <code>LinearRing</code>s are treated as holes in the leading <code>LinearRing</code>.</p><p><code>GeoInterface</code> offers the <code>GI.getexterior(poly)</code> and <code>GI.gethole(poly)</code> methods to get the exterior ring and an iterable of holes, respectively.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">hole </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">getpoint</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(multipoint))</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([ring1, hole])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, T, Nothing, Nothing} where T}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, T, Nothing, Nothing} where T[GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((-5, -5), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((-5, 5), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((5, 5), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((5, -5), nothing)], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>Shift <code>polygon2</code> to the right, to avoid plotting over our earlier results.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">xoffset </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 50.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">yoffset </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CoordinateTransformations</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Translation</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(xoffset, yoffset);</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">transform</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, polygon2);</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(polygon2)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/whxwitd.3sfpQl2i.png" alt=""></p><p><code>Polygon</code>s can also be grouped together as a <code>MultiPolygon</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/lfblsgc.3sfpQl2i.png" alt=""></p><p><code>Polygon</code>s can also be grouped together as a <code>MultiPolygon</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">reverse</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ϴ)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> xoffset;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> sin</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">reverse</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ϴ)) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.+</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> yoffset;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ring2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">  GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x,y)));</span></span>
@@ -67,7 +67,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CoordinateTransformations</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Translation</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(xoffset, yoffset);</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">multipolygon </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">transform</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(f, multipolygon);</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(multipolygon)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/xgwfyhv.Dab1-ETk.png" alt=""></p><p>Great, now we can make <code>Points</code>, <code>MultiPoints</code>, <code>Lines</code>, <code>LineStrings</code>, <code>Polygons</code> (with holes), and <code>MultiPolygons</code> and modify them using [<code>CoordinateTransformations</code>] and [<code>GeometryOps</code>].</p><h2 id="plot-geometry" tabindex="-1">Plot geometries on a map using <code>GeoMakie</code> and coordinate reference system (<code>CRS</code>) <a class="header-anchor" href="#plot-geometry" aria-label="Permalink to &quot;Plot geometries on a map using `GeoMakie` and coordinate reference system (`CRS`) {#plot-geometry}&quot;">​</a></h2><p>In geospatial sciences we often have data in one <a href="https://en.wikipedia.org/wiki/Spatial_reference_system" target="_blank" rel="noreferrer">Coordinate Reference System (CRS)</a> (<code>source</code>) and would like to display it in different (<code>destination</code>) <code>CRS</code>. <code>GeoMakie</code> allows us to do this by automatically projecting from <code>source</code> to <code>destination</code> CRS.</p><p>Here, our <code>source</code> CRS is common geographic (i.e. coordinates of latitude and longitude), <a href="https://epsg.io/4326" target="_blank" rel="noreferrer">WGS84</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">source_crs1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GFT</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">EPSG</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4326</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoFormatTypes.EPSG{1}((4326,))</span></span></code></pre></div><p>Now let&#39;s pick a <code>destination</code> CRS for displaying our map. Here we&#39;ll pick <a href="https://proj.org/en/9.4/operations/projections/natearth2.html" target="_blank" rel="noreferrer">natearth2</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">destination_crs </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;+proj=natearth2&quot;</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>&quot;+proj=natearth2&quot;</span></span></code></pre></div><p>Let&#39;s add land area for context. First, download and open the <a href="https://www.naturalearthdata.com" target="_blank" rel="noreferrer">Natural Earth</a> global land polygons at 110 m resolution.<code>GeoMakie</code> ships with this particular dataset, so we will access it from there.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">land_path </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoMakie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">assetpath</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;ne_110m_land.geojson&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>&quot;/home/runner/.julia/packages/GeoMakie/yzfbc/assets/ne_110m_land.geojson&quot;</span></span></code></pre></div><div class="tip custom-block"><p class="custom-block-title">Note</p><p>Natural Earth has lots of other datasets, and there is a Julia package that provides an interface to it called <a href="https://github.com/JuliaGeo/NaturalEarth.jl" target="_blank" rel="noreferrer">NaturalEarth.jl</a>.</p></div><p>Read the land <code>MultiPolygon</code>s as a <code>GeoJSON.FeatureCollection</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">land_geo </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoJSON</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">read</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(land_path)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>FeatureCollection with 127 Features</span></span></code></pre></div><p>We then need to create a figure with a <code>GeoAxis</code> that can handle the projection between <code>source</code> and <code>destination</code> CRS. For GeoMakie, <code>source</code> is the CRS of the input and <code>dest</code> is the CRS you want to visualize in.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Figure</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(size</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">500</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">));</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/mpaazvt.Dab1-ETk.png" alt=""></p><p>Great, now we can make <code>Points</code>, <code>MultiPoints</code>, <code>Lines</code>, <code>LineStrings</code>, <code>Polygons</code> (with holes), and <code>MultiPolygons</code> and modify them using [<code>CoordinateTransformations</code>] and [<code>GeometryOps</code>].</p><h2 id="plot-geometry" tabindex="-1">Plot geometries on a map using <code>GeoMakie</code> and coordinate reference system (<code>CRS</code>) <a class="header-anchor" href="#plot-geometry" aria-label="Permalink to &quot;Plot geometries on a map using `GeoMakie` and coordinate reference system (`CRS`) {#plot-geometry}&quot;">​</a></h2><p>In geospatial sciences we often have data in one <a href="https://en.wikipedia.org/wiki/Spatial_reference_system" target="_blank" rel="noreferrer">Coordinate Reference System (CRS)</a> (<code>source</code>) and would like to display it in different (<code>destination</code>) <code>CRS</code>. <code>GeoMakie</code> allows us to do this by automatically projecting from <code>source</code> to <code>destination</code> CRS.</p><p>Here, our <code>source</code> CRS is common geographic (i.e. coordinates of latitude and longitude), <a href="https://epsg.io/4326" target="_blank" rel="noreferrer">WGS84</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">source_crs1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GFT</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">EPSG</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4326</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoFormatTypes.EPSG{1}((4326,))</span></span></code></pre></div><p>Now let&#39;s pick a <code>destination</code> CRS for displaying our map. Here we&#39;ll pick <a href="https://proj.org/en/9.4/operations/projections/natearth2.html" target="_blank" rel="noreferrer">natearth2</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">destination_crs </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;+proj=natearth2&quot;</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>&quot;+proj=natearth2&quot;</span></span></code></pre></div><p>Let&#39;s add land area for context. First, download and open the <a href="https://www.naturalearthdata.com" target="_blank" rel="noreferrer">Natural Earth</a> global land polygons at 110 m resolution.<code>GeoMakie</code> ships with this particular dataset, so we will access it from there.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">land_path </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoMakie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">assetpath</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;ne_110m_land.geojson&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>&quot;/home/runner/.julia/packages/GeoMakie/yzfbc/assets/ne_110m_land.geojson&quot;</span></span></code></pre></div><div class="tip custom-block"><p class="custom-block-title">Note</p><p>Natural Earth has lots of other datasets, and there is a Julia package that provides an interface to it called <a href="https://github.com/JuliaGeo/NaturalEarth.jl" target="_blank" rel="noreferrer">NaturalEarth.jl</a>.</p></div><p>Read the land <code>MultiPolygon</code>s as a <code>GeoJSON.FeatureCollection</code>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">land_geo </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoJSON</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">read</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(land_path)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>FeatureCollection with 127 Features</span></span></code></pre></div><p>We then need to create a figure with a <code>GeoAxis</code> that can handle the projection between <code>source</code> and <code>destination</code> CRS. For GeoMakie, <code>source</code> is the CRS of the input and <code>dest</code> is the CRS you want to visualize in.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> Figure</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(size</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">500</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">));</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ga </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> GeoAxis</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    fig[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    source </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> source_crs1,</span></span>
@@ -75,8 +75,8 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    xticklabelsvisible </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    yticklabelsvisible </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> false</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span></code></pre></div><p>Plot <code>land</code> for context.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">poly!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ga, land_geo, color</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:black</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/ubzuwfc.D9AE7i2o.png" alt=""></p><p>Now let&#39;s plot a <code>Polygon</code> like before, but this time with a CRS that differs from our <code>source</code> data</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(multipolygon; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :green</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/gtsdgxe.DTKLkKh_.png" alt=""></p><p>But what if we want to plot geometries with a different <code>source</code> CRS on the same figure?</p><p>To show how to do this let&#39;s create a geometry with coordinates in UTM (Universal Transverse Mercator) zone 10N <a href="https://epsg.io/32610" target="_blank" rel="noreferrer">EPSG:32610</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">source_crs2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GFT</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">EPSG</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">32610</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoFormatTypes.EPSG{1}((32610,))</span></span></code></pre></div><p>Create a polygon (we&#39;re working in meters now, not latitude and longitude)</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1000000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/thxfble.D9AE7i2o.png" alt=""></p><p>Now let&#39;s plot a <code>Polygon</code> like before, but this time with a CRS that differs from our <code>source</code> data</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(multipolygon; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> :green</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/wvvawyc.DTKLkKh_.png" alt=""></p><p>But what if we want to plot geometries with a different <code>source</code> CRS on the same figure?</p><p>To show how to do this let&#39;s create a geometry with coordinates in UTM (Universal Transverse Mercator) zone 10N <a href="https://epsg.io/32610" target="_blank" rel="noreferrer">EPSG:32610</a>.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">source_crs2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GFT</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">EPSG</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">32610</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoFormatTypes.EPSG{1}((32610,))</span></span></code></pre></div><p>Create a polygon (we&#39;re working in meters now, not latitude and longitude)</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1000000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ϴ </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.01</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2pi</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(ϴ)</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.^</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> .+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 500000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">y </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> sin</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(ϴ) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.^</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 3</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> .+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5000000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>629-element Vector{Float64}:</span></span>
@@ -86,7 +86,7 @@
 <span class="line"><span> ⋮</span></span>
 <span class="line"><span> 5.0e6</span></span>
 <span class="line"><span> 5.0e6</span></span></code></pre></div><p>Now create a <code>LinearRing</code> from <code>Points</code></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ring3 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Point</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">zip</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(x, y)))</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[1.5e6, 5.0e6], [1.4998500087497458e6, 5.000000999950001e6], [1.4994001399837343e6, 5.000007998400139e6], [1.4986507085647392e6, 5.000026987852369e6], [1.4976022389592e6, 5.000063948817746e6], [1.4962554647802354e6, 5.000124843834609e6], [1.4946113281484335e6, 5.000215611503127e6], [1.4926709788709967e6, 5.000342160541625e6], [1.4904357734399722e6, 5.000510363870095e6], [1.4879072738504685e6, 5.0007260527263e6]  …  [1.4870405593989636e6, 4.999194331880103e6], [1.4896621210021754e6, 4.999426363321033e6], [1.491990928929295e6, 4.999609061508909e6], [1.4940253560034204e6, 4.999748243174828e6], [1.4957639801366436e6, 4.999849768598615e6], [1.497205585568957e6, 4.999919535736425e6], [1.4983491639274692e6, 4.999963474314044e6], [1.4991939151049731e6, 4.999987539891298e6], [1.4997392479570867e6, 4.999997707902938e6], [1.499984780817334e6, 4.999999967681458e6]], nothing, nothing)</span></span></code></pre></div><p>Now create a <code>Polygon</code> from the <code>LineRing</code></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">polygon3 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([ring3])</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[1.5e6, 5.0e6], [1.4998500087497458e6, 5.000000999950001e6], [1.4994001399837343e6, 5.000007998400139e6], [1.4986507085647392e6, 5.000026987852369e6], [1.4976022389592e6, 5.000063948817746e6], [1.4962554647802354e6, 5.000124843834609e6], [1.4946113281484335e6, 5.000215611503127e6], [1.4926709788709967e6, 5.000342160541625e6], [1.4904357734399722e6, 5.000510363870095e6], [1.4879072738504685e6, 5.0007260527263e6]  …  [1.4870405593989636e6, 4.999194331880103e6], [1.4896621210021754e6, 4.999426363321033e6], [1.491990928929295e6, 4.999609061508909e6], [1.4940253560034204e6, 4.999748243174828e6], [1.4957639801366436e6, 4.999849768598615e6], [1.497205585568957e6, 4.999919535736425e6], [1.4983491639274692e6, 4.999963474314044e6], [1.4991939151049731e6, 4.999987539891298e6], [1.4997392479570867e6, 4.999997707902938e6], [1.499984780817334e6, 4.999999967681458e6]], nothing, nothing)], nothing, nothing)</span></span></code></pre></div><p>Now plot on the existing GeoAxis.</p><div class="tip custom-block"><p class="custom-block-title">Note</p><p>The keyword argument <code>source</code> is used to specify the source <code>CRS</code> of that particular plot, when plotting on an existing <code>GeoAxis</code>.</p></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">plot!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ga,polygon3; color</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:red</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, source </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> source_crs2)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/wjmyrsm.0f3Lq4Lw.png" alt=""></p><h2 id="geom-crs" tabindex="-1">Create geospatial geometries with embedded coordinate reference system information <a class="header-anchor" href="#geom-crs" aria-label="Permalink to &quot;Create geospatial geometries with embedded coordinate reference system information {#geom-crs}&quot;">​</a></h2><p>Great, we can make geometries and plot them on a map... now let&#39;s export the data to common geospatial data formats. To do this we now need to create geometries with embedded <code>CRS</code> information, making it a geospatial geometry. All that&#39;s needed is to include <code>; crs = crs</code> as a keyword argument when constructing the geometry.</p><p>Let&#39;s do this for a new <code>Polygon</code></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/yghxjqa.0f3Lq4Lw.png" alt=""></p><h2 id="geom-crs" tabindex="-1">Create geospatial geometries with embedded coordinate reference system information <a class="header-anchor" href="#geom-crs" aria-label="Permalink to &quot;Create geospatial geometries with embedded coordinate reference system information {#geom-crs}&quot;">​</a></h2><p>Great, we can make geometries and plot them on a map... now let&#39;s export the data to common geospatial data formats. To do this we now need to create geometries with embedded <code>CRS</code> information, making it a geospatial geometry. All that&#39;s needed is to include <code>; crs = crs</code> as a keyword argument when constructing the geometry.</p><p>Let&#39;s do this for a new <code>Polygon</code></p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">ϴ </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.01</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">:</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2pi</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(ϴ) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.-</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> r </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> cos</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.((k </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ϴ);</span></span>
@@ -106,7 +106,7 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GeoParquet</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">write</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(fn, df, (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:geometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,))</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>&quot;shapes.parquet&quot;</span></span></code></pre></div><p>Finally, if there&#39;s no Julia-native package that can write data to your desired format (e.g. <code>.gpkg</code>, <code>.gml</code>, etc), you can use <a href="https://github.com/evetion/GeoDataFrames.jl" target="_blank" rel="noreferrer"><code>GeoDataFrames</code></a>. This package uses the <a href="https://gdal.org/" target="_blank" rel="noreferrer">GDAL</a> library under the hood which supports writing to nearly all geospatial formats.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoDataFrames</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fn </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;shapes.gpkg&quot;</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">GeoDataFrames</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">write</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(fn, df)</span></span></code></pre></div><div class="language- vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang"></span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>&quot;shapes.gpkg&quot;</span></span></code></pre></div><p>And there we go, you can now create mapped geometries from scratch, manipulate them, plot them on a map, and save them in multiple geospatial data formats.</p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/tutorials/creating_geometry.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/api" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>API Reference</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/tutorials/spatial_joins" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Spatial Joins</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig, ga, _cp </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> lines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GeoMakie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">coastlines</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(); axis </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (; type </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoAxis))</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">lines!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(ga, GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">segmentize</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">GeodesicSegments</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(; max_distance </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 100_000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LineString</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([IAH, AMS])); color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> Makie</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">wong_colors</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">()[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/tmfrkpo.CPClNl7F.png" alt=""></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/tutorials/geodesic_paths.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><!----></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/introduction" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Introduction</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">fig</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/hzttamm.CPClNl7F.png" alt=""></p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/tutorials/geodesic_paths.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><!----></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/introduction" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Introduction</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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@@ -37,14 +37,14 @@
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">pl </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">pu </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">Polygon</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([GI</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">LinearRing</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">([(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)])])</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">poly_df </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataFrame</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geometry </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [pl, pu], color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> [</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:red</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:blue</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">])</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(poly_df</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geometry; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(poly_df</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">color, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/ytxcvam.3UVIT8DR.png" alt=""></p><p>Here, the upper polygon is blue, and the lower polygon is red. Keep this in mind!</p><p>Now, we generate the points.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">points </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">rand</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">rand</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f, a, p </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> poly</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(poly_df</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geometry; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(poly_df</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">color, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0.3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/zcyduij.3UVIT8DR.png" alt=""></p><p>Here, the upper polygon is blue, and the lower polygon is red. Keep this in mind!</p><p>Now, we generate the points.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">points </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> tuple</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">.(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">rand</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">), </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">rand</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1000</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">))</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">points_df </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> DataFrame</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(geometry </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> points)</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(points_df</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geometry)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/ppmunub.BAI46Sfr.png" alt=""></p><p>You can see that they are evenly distributed around the box. But how do we know which points are in which polygons?</p><p>We have to join the two dataframes based on which polygon (if any) each point lies within.</p><p>Now, we can perform the &quot;spatial join&quot; using FlexiJoins. We are performing an outer join here</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@time</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> joined_df </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> FlexiJoins</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">innerjoin</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/lacykyt.C1qDiDY9.png" alt=""></p><p>You can see that they are evenly distributed around the box. But how do we know which points are in which polygons?</p><p>We have to join the two dataframes based on which polygon (if any) each point lies within.</p><p>Now, we can perform the &quot;spatial join&quot; using FlexiJoins. We are performing an outer join here</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">@time</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> joined_df </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> FlexiJoins</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">innerjoin</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    (points_df, poly_df),</span></span>
 <span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">    by_pred</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:geometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, GO</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">within, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">:geometry</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)</span></span></code></pre></div><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">scatter!</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(a, joined_df</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">geometry; color </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> joined_df</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">.</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">color)</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/vheuwry.DyKduGkc.png" alt=""></p><p>Here, you can see that the colors were assigned appropriately to the scattered points!</p><h2 id="Real-world-example" tabindex="-1">Real-world example <a class="header-anchor" href="#Real-world-example" aria-label="Permalink to &quot;Real-world example {#Real-world-example}&quot;">​</a></h2><p>Suppose I have a list of polygons representing administrative regions (or mining sites, or what have you), and I have a list of polygons for each country. I want to find the country each region is in.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">f</span></span></code></pre></div><p><img src="/GeometryOps.jl/dev/assets/ooercci.COt3ymN-.png" alt=""></p><p>Here, you can see that the colors were assigned appropriately to the scattered points!</p><h2 id="Real-world-example" tabindex="-1">Real-world example <a class="header-anchor" href="#Real-world-example" aria-label="Permalink to &quot;Real-world example {#Real-world-example}&quot;">​</a></h2><p>Suppose I have a list of polygons representing administrative regions (or mining sites, or what have you), and I have a list of polygons for each country. I want to find the country each region is in.</p><div class="language-julia vp-adaptive-theme"><button title="Copy Code" class="copy"></button><span class="lang">julia</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">import</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GeoInterface </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GI, GeometryOps </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">as</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> GO</span></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> FlexiJoins, DataFrames, GADM </span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"># GADM gives us country and sublevel geometry</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">using</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> CairoMakie, GeoInterfaceMakie</span></span>
@@ -69,7 +69,7 @@
 <span class="line highlighted"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    ::</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">FlexiJoins.ByPred{typeof(my_predicate_function)}</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    datas</span></span>
 <span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> true</span></span></code></pre></div><p>This will enable FlexiJoins to support your custom function, when it&#39;s passed to <code>by_pred(:geometry, my_predicate_function, :geometry)</code>.</p></div></div></main><footer class="VPDocFooter" data-v-83890dd9 data-v-4f9813fa><!--[--><!--]--><div class="edit-info" data-v-4f9813fa><div class="edit-link" data-v-4f9813fa><a class="VPLink link vp-external-link-icon no-icon edit-link-button" href="https://github.com/JuliaGeo/GeometryOps.jl/edit/main/docs/src/tutorials/spatial_joins.md" target="_blank" rel="noreferrer" data-v-4f9813fa><!--[--><span class="vpi-square-pen edit-link-icon" data-v-4f9813fa></span> Edit this page<!--]--></a></div><!----></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-4f9813fa><span class="visually-hidden" id="doc-footer-aria-label" data-v-4f9813fa>Pager</span><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link prev" href="/GeometryOps.jl/dev/tutorials/creating_geometry" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Previous page</span><span class="title" data-v-4f9813fa>Creating Geometry</span><!--]--></a></div><div class="pager" data-v-4f9813fa><a class="VPLink link pager-link next" href="/GeometryOps.jl/dev/explanations/paradigms" data-v-4f9813fa><!--[--><span class="desc" data-v-4f9813fa>Next page</span><span class="title" data-v-4f9813fa>Paradigms</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-a9a9e638 data-v-c970a860><div class="container" data-v-c970a860><p class="message" data-v-c970a860>Made with <a href="https://luxdl.github.io/DocumenterVitepress.jl/dev/" target="_blank"><strong>DocumenterVitepress.jl</strong></a><br></p><p class="copyright" data-v-c970a860>© Copyright 2024.</p></div></footer><!--[--><!--]--></div></div>
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