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- + \ No newline at end of file diff --git a/previews/PR182/api.html b/previews/PR182/api.html index f5b2eeb7e..1bfafe806 100644 --- a/previews/PR182/api.html +++ b/previews/PR182/api.html @@ -8,17 +8,17 @@ - + - - - + + + -
GeometryOps.jl

Appearance

Full GeometryOps API documentation ​

Warning

This page is still very much WIP!

Documentation for GeometryOps's full API (only for reference!).

apply and associated functions ​

# GeometryOps.apply — Function.
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)

Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.

f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.

Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.

The result is a functionally similar geometry with values depending on f.

  • threaded: true or false. Whether to use multithreading. Defaults to false.

  • crs: The CRS to attach to geometries. Defaults to nothing.

  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.

Example

Flipped point the order in any feature or geometry, or iterables of either:

julia
import GeoInterface as GI
+    
GeometryOps.jl
Appearance
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
# GeometryOps.apply — Function. 
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
@@ -416,7 +416,7 @@
 
 # output
 true
source

  1. K. Hormann and N. Sukumar. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor & Fancis, CRC Press, 2017. ↩︎

-    
+    
     
   
 
\ No newline at end of file
diff --git a/previews/PR182/assets/api.md.DgmyHsSM.js b/previews/PR182/assets/api.md.BzlChBuD.js
similarity index 99%
rename from previews/PR182/assets/api.md.DgmyHsSM.js
rename to previews/PR182/assets/api.md.BzlChBuD.js
index 7634c32f1..cf7279c04 100644
--- a/previews/PR182/assets/api.md.DgmyHsSM.js
+++ b/previews/PR182/assets/api.md.BzlChBuD.js
@@ -1,4 +1,4 @@
-import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.rRrq4bmo.js";const q=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h=i(`
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
# GeometryOps.apply — Function. 
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
+import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.EaXv-vOb.js";const q=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h=i(`
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
# GeometryOps.apply — Function. 
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
diff --git a/previews/PR182/assets/api.md.DgmyHsSM.lean.js b/previews/PR182/assets/api.md.BzlChBuD.lean.js
similarity index 98%
rename from previews/PR182/assets/api.md.DgmyHsSM.lean.js
rename to previews/PR182/assets/api.md.BzlChBuD.lean.js
index 6dcf6beb2..8329c4c10 100644
--- a/previews/PR182/assets/api.md.DgmyHsSM.lean.js
+++ b/previews/PR182/assets/api.md.BzlChBuD.lean.js
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diff --git a/previews/PR182/assets/app.rnqKyHF5.js b/previews/PR182/assets/app.DTk-7_GP.js
similarity index 90%
rename from previews/PR182/assets/app.rnqKyHF5.js
rename to previews/PR182/assets/app.DTk-7_GP.js
index 5048a2b3e..0c44b4fc0 100644
--- a/previews/PR182/assets/app.rnqKyHF5.js
+++ b/previews/PR182/assets/app.DTk-7_GP.js
@@ -1 +1 @@
-import{U as o,a8 as p,a9 as u,aa as l,ab as c,ac as f,ad as d,ae as m,af as h,ag as g,ah as A,d as P,u as v,y,x as w,ai as C,aj as R,ak as b,a6 as E}from"./chunks/framework.rRrq4bmo.js";import{R as S}from"./chunks/theme.CkTH1pX1.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(S),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return y(()=>{w(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),R(),b(),s.setup&&s.setup(),()=>E(s.Layout)}});async function _(){globalThis.__VITEPRESS__=!0;const e=x(),a=j();a.provide(u,e);const t=l(e.route);return a.provide(c,t),a.component("Content",f),a.component("ClientOnly",d),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:m}),{app:a,router:e,data:t}}function j(){return h(T)}function x(){let e=o,a;return g(t=>{let n=A(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&&_().then(({app:e,router:a,data:t})=>{a.go().then(()=>{p(a.route,t.site),e.mount("#app")})});export{_ as createApp};
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similarity index 100%
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diff --git a/previews/PR182/assets/call_notes.md.C2bRNy0z.js b/previews/PR182/assets/call_notes.md.DeLTtdEA.js
similarity index 96%
rename from previews/PR182/assets/call_notes.md.C2bRNy0z.js
rename to previews/PR182/assets/call_notes.md.DeLTtdEA.js
index 6af30b30a..818f87f7e 100644
--- a/previews/PR182/assets/call_notes.md.C2bRNy0z.js
+++ b/previews/PR182/assets/call_notes.md.DeLTtdEA.js
@@ -1 +1 @@
-import{_ as e,c as i,o as l,a7 as t}from"./chunks/framework.rRrq4bmo.js";const m=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"call_notes.md","filePath":"call_notes.md","lastUpdated":null}'),o={name:"call_notes.md"},a=t('
20th April, 2024 ​
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections
',8),n=[a];function r(s,p,c,d,h,u){return l(),i("div",null,n)}const g=e(o,[["render",r]]);export{m as __pageData,g as default};
+import{_ as e,c as i,o as l,a7 as t}from"./chunks/framework.EaXv-vOb.js";const m=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"call_notes.md","filePath":"call_notes.md","lastUpdated":null}'),o={name:"call_notes.md"},a=t('
20th April, 2024 ​
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections
',8),n=[a];function r(s,p,c,d,h,u){return l(),i("div",null,n)}const g=e(o,[["render",r]]);export{m as __pageData,g as default};
diff --git a/previews/PR182/assets/call_notes.md.C2bRNy0z.lean.js b/previews/PR182/assets/call_notes.md.DeLTtdEA.lean.js
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index 000000000..bd8b0c061
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+++ b/previews/PR182/assets/chunks/framework.EaXv-vOb.js
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diff --git a/previews/PR182/assets/chunks/theme.CkTH1pX1.js b/previews/PR182/assets/chunks/theme.UW4XYjh4.js
similarity index 99%
rename from previews/PR182/assets/chunks/theme.CkTH1pX1.js
rename to previews/PR182/assets/chunks/theme.UW4XYjh4.js
index ec1b1d059..ee1eaf116 100644
--- a/previews/PR182/assets/chunks/theme.CkTH1pX1.js
+++ b/previews/PR182/assets/chunks/theme.UW4XYjh4.js
@@ -1,2 +1,2 @@
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diff --git a/previews/PR182/assets/tvcrvix.Dab1-ETk.png b/previews/PR182/assets/dgsoomh.Dab1-ETk.png
similarity index 100%
rename from previews/PR182/assets/tvcrvix.Dab1-ETk.png
rename to previews/PR182/assets/dgsoomh.Dab1-ETk.png
diff --git a/previews/PR182/assets/gsghjdw.lu4jwpi-.png b/previews/PR182/assets/djrfzlc.lu4jwpi-.png
similarity index 100%
rename from previews/PR182/assets/gsghjdw.lu4jwpi-.png
rename to previews/PR182/assets/djrfzlc.lu4jwpi-.png
diff --git a/previews/PR182/assets/experiments_accurate_accumulators.md.B81VLkeJ.js b/previews/PR182/assets/experiments_accurate_accumulators.md.DumDz-GQ.js
similarity index 98%
rename from previews/PR182/assets/experiments_accurate_accumulators.md.B81VLkeJ.js
rename to previews/PR182/assets/experiments_accurate_accumulators.md.DumDz-GQ.js
index 0cb5c6ba4..c5cb5e416 100644
--- a/previews/PR182/assets/experiments_accurate_accumulators.md.B81VLkeJ.js
+++ b/previews/PR182/assets/experiments_accurate_accumulators.md.DumDz-GQ.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t(`
Accurate accumulation ​
Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.
We will use the accurate sum routines from AccurateArithmetic.jl to show the difference!
julia
import GeometryOps as GO, GeoInterface as GI
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t(`
Accurate accumulation ​
Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.
We will use the accurate sum routines from AccurateArithmetic.jl to show the difference!
julia
import GeometryOps as GO, GeoInterface as GI
 using GeoJSON
 using AccurateArithmetic
 using NaturalEarth
diff --git a/previews/PR182/assets/experiments_accurate_accumulators.md.B81VLkeJ.lean.js b/previews/PR182/assets/experiments_accurate_accumulators.md.DumDz-GQ.lean.js
similarity index 73%
rename from previews/PR182/assets/experiments_accurate_accumulators.md.B81VLkeJ.lean.js
rename to previews/PR182/assets/experiments_accurate_accumulators.md.DumDz-GQ.lean.js
index fed853c00..1a34ad43f 100644
--- a/previews/PR182/assets/experiments_accurate_accumulators.md.B81VLkeJ.lean.js
+++ b/previews/PR182/assets/experiments_accurate_accumulators.md.DumDz-GQ.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t("",16),l=[n];function h(p,k,d,r,c,g){return a(),i("div",null,l)}const u=s(e,[["render",h]]);export{o as __pageData,u as default};
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t("",16),l=[n];function h(p,k,d,r,c,g){return a(),i("div",null,l)}const u=s(e,[["render",h]]);export{o as __pageData,u as default};
diff --git a/previews/PR182/assets/experiments_predicates.md.B5vq-y6k.js b/previews/PR182/assets/experiments_predicates.md.Ce1KuGCE.js
similarity index 99%
rename from previews/PR182/assets/experiments_predicates.md.B5vq-y6k.js
rename to previews/PR182/assets/experiments_predicates.md.Ce1KuGCE.js
index aafb70005..274614e23 100644
--- a/previews/PR182/assets/experiments_predicates.md.B5vq-y6k.js
+++ b/previews/PR182/assets/experiments_predicates.md.Ce1KuGCE.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as h}from"./chunks/framework.rRrq4bmo.js";const k="/GeometryOps.jl/previews/PR182/assets/pdffouc.DWRp1g19.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h(`
Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
+import{_ as s,c as i,o as a,a7 as h}from"./chunks/framework.EaXv-vOb.js";const k="/GeometryOps.jl/previews/PR182/assets/mxxzrzy.BGGaRmS9.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h(`
Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
diff --git a/previews/PR182/assets/experiments_predicates.md.B5vq-y6k.lean.js b/previews/PR182/assets/experiments_predicates.md.Ce1KuGCE.lean.js
similarity index 61%
rename from previews/PR182/assets/experiments_predicates.md.B5vq-y6k.lean.js
rename to previews/PR182/assets/experiments_predicates.md.Ce1KuGCE.lean.js
index 0a09a0c40..d04afeca4 100644
--- a/previews/PR182/assets/experiments_predicates.md.B5vq-y6k.lean.js
+++ b/previews/PR182/assets/experiments_predicates.md.Ce1KuGCE.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as h}from"./chunks/framework.rRrq4bmo.js";const k="/GeometryOps.jl/previews/PR182/assets/pdffouc.DWRp1g19.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h("",10),l=[p];function t(E,e,r,d,g,y){return a(),i("div",null,l)}const A=s(n,[["render",t]]);export{C as __pageData,A as default};
+import{_ as s,c as i,o as a,a7 as h}from"./chunks/framework.EaXv-vOb.js";const k="/GeometryOps.jl/previews/PR182/assets/mxxzrzy.BGGaRmS9.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h("",10),l=[p];function t(E,e,r,d,g,y){return a(),i("div",null,l)}const A=s(n,[["render",t]]);export{C as __pageData,A as default};
diff --git a/previews/PR182/assets/explanations_crs.md.CsDF0kPV.js b/previews/PR182/assets/explanations_crs.md.o8deDdD6.js
similarity index 83%
rename from previews/PR182/assets/explanations_crs.md.CsDF0kPV.js
rename to previews/PR182/assets/explanations_crs.md.o8deDdD6.js
index 913ab3874..9e9e2ded0 100644
--- a/previews/PR182/assets/explanations_crs.md.CsDF0kPV.js
+++ b/previews/PR182/assets/explanations_crs.md.o8deDdD6.js
@@ -1 +1 @@
-import{_ as e,c as t,o as a}from"./chunks/framework.rRrq4bmo.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.EaXv-vOb.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/previews/PR182/assets/explanations_crs.md.CsDF0kPV.lean.js b/previews/PR182/assets/explanations_crs.md.o8deDdD6.lean.js
similarity index 83%
rename from previews/PR182/assets/explanations_crs.md.CsDF0kPV.lean.js
rename to previews/PR182/assets/explanations_crs.md.o8deDdD6.lean.js
index 913ab3874..9e9e2ded0 100644
--- a/previews/PR182/assets/explanations_crs.md.CsDF0kPV.lean.js
+++ b/previews/PR182/assets/explanations_crs.md.o8deDdD6.lean.js
@@ -1 +1 @@
-import{_ as e,c as t,o as a}from"./chunks/framework.rRrq4bmo.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.EaXv-vOb.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/previews/PR182/assets/explanations_paradigms.md.qAjgneAB.js b/previews/PR182/assets/explanations_paradigms.md.mhXqB98G.js
similarity index 97%
rename from previews/PR182/assets/explanations_paradigms.md.qAjgneAB.js
rename to previews/PR182/assets/explanations_paradigms.md.mhXqB98G.js
index 56634c89a..9479dc85a 100644
--- a/previews/PR182/assets/explanations_paradigms.md.qAjgneAB.js
+++ b/previews/PR182/assets/explanations_paradigms.md.mhXqB98G.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o('
Paradigms ​
GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.
Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!
apply ​
The apply 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:
julia
apply(f, trait::Trait, geom)
Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.
apply 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 GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.
apply is unlike map 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 GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.
applyreduce ​
applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).
fix and prepare ​
The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", 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.
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 Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)
',14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
+import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o('
Paradigms ​
GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.
Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!
apply ​
The apply 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:
julia
apply(f, trait::Trait, geom)
Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.
apply 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 GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.
apply is unlike map 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 GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.
applyreduce ​
applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).
fix and prepare ​
The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", 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.
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 Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)
',14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
diff --git a/previews/PR182/assets/explanations_paradigms.md.qAjgneAB.lean.js b/previews/PR182/assets/explanations_paradigms.md.mhXqB98G.lean.js
similarity index 70%
rename from previews/PR182/assets/explanations_paradigms.md.qAjgneAB.lean.js
rename to previews/PR182/assets/explanations_paradigms.md.mhXqB98G.lean.js
index 13a4b4657..369a2abcb 100644
--- a/previews/PR182/assets/explanations_paradigms.md.qAjgneAB.lean.js
+++ b/previews/PR182/assets/explanations_paradigms.md.mhXqB98G.lean.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o("",14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
+import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o("",14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
diff --git a/previews/PR182/assets/explanations_peculiarities.md.B6ketAnq.js b/previews/PR182/assets/explanations_peculiarities.md.BE8gFZVH.js
similarity index 96%
rename from previews/PR182/assets/explanations_peculiarities.md.B6ketAnq.js
rename to previews/PR182/assets/explanations_peculiarities.md.BE8gFZVH.js
index 2c1788336..6e409f05b 100644
--- a/previews/PR182/assets/explanations_peculiarities.md.B6ketAnq.js
+++ b/previews/PR182/assets/explanations_peculiarities.md.BE8gFZVH.js
@@ -1 +1 @@
-import{_ as e,c as o,o as t,a7 as a}from"./chunks/framework.rRrq4bmo.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a('
Peculiarities ​
What does apply return and why? ​
apply returns the target geometries returned by f, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching GeoInterface.trait to the originals. All non-geointerface iterables become Arrays. Tables.jl compatible tables are converted either back to the original type if a Tables.materializer is defined, and if not then returned as generic NamedTuple column tables (i.e., a NamedTuple of vectors).
It is recommended for consistency that f returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.
Why do you want me to provide a target in set operations? ​
In polygon set operations like intersection, difference, and union, 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.
We use the target keyword to allow the user to control which kinds of geometry they want back. For example, setting target to PolygonTrait will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement MultiPolygonTrait or GeometryCollectionTrait targets which will return a single geometry, as LibGEOS and ArchGDAL do.
This also allows for a lot more type stability - when you ask for polygons, we won't return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.
_True and _False (or BoolsAsTypes) ​
Warning
These are internals and explicitly not public API, meaning they may change at any time!
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 threaded and calc_extent in apply, 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
',11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
+import{_ as e,c as o,o as t,a7 as a}from"./chunks/framework.EaXv-vOb.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a('
Peculiarities ​
What does apply return and why? ​
apply returns the target geometries returned by f, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching GeoInterface.trait to the originals. All non-geointerface iterables become Arrays. Tables.jl compatible tables are converted either back to the original type if a Tables.materializer is defined, and if not then returned as generic NamedTuple column tables (i.e., a NamedTuple of vectors).
It is recommended for consistency that f returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.
Why do you want me to provide a target in set operations? ​
In polygon set operations like intersection, difference, and union, 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.
We use the target keyword to allow the user to control which kinds of geometry they want back. For example, setting target to PolygonTrait will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement MultiPolygonTrait or GeometryCollectionTrait targets which will return a single geometry, as LibGEOS and ArchGDAL do.
This also allows for a lot more type stability - when you ask for polygons, we won't return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.
_True and _False (or BoolsAsTypes) ​
Warning
These are internals and explicitly not public API, meaning they may change at any time!
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 threaded and calc_extent in apply, 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
',11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
diff --git a/previews/PR182/assets/explanations_peculiarities.md.B6ketAnq.lean.js b/previews/PR182/assets/explanations_peculiarities.md.BE8gFZVH.lean.js
similarity index 71%
rename from previews/PR182/assets/explanations_peculiarities.md.B6ketAnq.lean.js
rename to previews/PR182/assets/explanations_peculiarities.md.BE8gFZVH.lean.js
index 03732d806..a02fd69f8 100644
--- a/previews/PR182/assets/explanations_peculiarities.md.B6ketAnq.lean.js
+++ b/previews/PR182/assets/explanations_peculiarities.md.BE8gFZVH.lean.js
@@ -1 +1 @@
-import{_ as e,c as o,o as t,a7 as a}from"./chunks/framework.rRrq4bmo.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a("",11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
+import{_ as e,c as o,o as t,a7 as a}from"./chunks/framework.EaXv-vOb.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a("",11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
diff --git a/previews/PR182/assets/explanations_winding_order.md.FilA6iaw.js b/previews/PR182/assets/explanations_winding_order.md.CZVu8l8F.js
similarity index 84%
rename from previews/PR182/assets/explanations_winding_order.md.FilA6iaw.js
rename to previews/PR182/assets/explanations_winding_order.md.CZVu8l8F.js
index 2f544d0bd..b146e96e0 100644
--- a/previews/PR182/assets/explanations_winding_order.md.FilA6iaw.js
+++ b/previews/PR182/assets/explanations_winding_order.md.CZVu8l8F.js
@@ -1 +1 @@
-import{_ as e,c as n,o as t}from"./chunks/framework.rRrq4bmo.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.EaXv-vOb.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/previews/PR182/assets/explanations_winding_order.md.FilA6iaw.lean.js b/previews/PR182/assets/explanations_winding_order.md.CZVu8l8F.lean.js
similarity index 84%
rename from previews/PR182/assets/explanations_winding_order.md.FilA6iaw.lean.js
rename to previews/PR182/assets/explanations_winding_order.md.CZVu8l8F.lean.js
index 2f544d0bd..b146e96e0 100644
--- a/previews/PR182/assets/explanations_winding_order.md.FilA6iaw.lean.js
+++ b/previews/PR182/assets/explanations_winding_order.md.CZVu8l8F.lean.js
@@ -1 +1 @@
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+import{_ as e,c as n,o as t}from"./chunks/framework.EaXv-vOb.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/previews/PR182/assets/yrwpavb.B94PsR1K.png b/previews/PR182/assets/eyalncx.B94PsR1K.png
similarity index 100%
rename from previews/PR182/assets/yrwpavb.B94PsR1K.png
rename to previews/PR182/assets/eyalncx.B94PsR1K.png
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diff --git a/previews/PR182/assets/index.md.BPhDq3ZT.js b/previews/PR182/assets/index.md.KV6WTRX3.js
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index 0b89b6098..d3b74dc20 100644
--- a/previews/PR182/assets/index.md.BPhDq3ZT.js
+++ b/previews/PR182/assets/index.md.KV6WTRX3.js
@@ -1 +1 @@
-import{_ as e,c as t,o as a,a7 as o}from"./chunks/framework.rRrq4bmo.js";const g=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":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","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}'),i={name:"index.md"},n=o('
What is GeometryOps.jl? ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
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.
We welcome contributions, either as pull requests or discussion on issues!
How to navigate the docs ​
GeometryOps' docs are divided into three main sections: tutorials, explanations and source code.
 Documentation and examples for many functions can be found in the source code section, since we use literate programming in GeometryOps.
  • Tutorials are meant to teach the fundamental concepts behind GeometryOps, and how to perform certain operations.
  • Explanations usually contain little code, and explain in more detail how GeometryOps works.
  • Source code usually contains explanations and examples at the top of the page, followed by annotated source code from that file.
',2),s=[n];function r(l,c,d,h,p,m){return a(),t("div",null,s)}const f=e(i,[["render",r]]);export{g as __pageData,f as default};
+import{_ as e,c as t,o as a,a7 as o}from"./chunks/framework.EaXv-vOb.js";const g=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":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","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}'),i={name:"index.md"},n=o('
What is GeometryOps.jl? ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
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.
We welcome contributions, either as pull requests or discussion on issues!
How to navigate the docs ​
GeometryOps' docs are divided into three main sections: tutorials, explanations and source code.
 Documentation and examples for many functions can be found in the source code section, since we use literate programming in GeometryOps.
  • Tutorials are meant to teach the fundamental concepts behind GeometryOps, and how to perform certain operations.
  • Explanations usually contain little code, and explain in more detail how GeometryOps works.
  • Source code usually contains explanations and examples at the top of the page, followed by annotated source code from that file.
',2),s=[n];function r(l,c,d,h,p,m){return a(),t("div",null,s)}const f=e(i,[["render",r]]);export{g as __pageData,f as default};
diff --git a/previews/PR182/assets/index.md.BPhDq3ZT.lean.js b/previews/PR182/assets/index.md.KV6WTRX3.lean.js
similarity index 92%
rename from previews/PR182/assets/index.md.BPhDq3ZT.lean.js
rename to previews/PR182/assets/index.md.KV6WTRX3.lean.js
index 39ffa08fa..db2d1d955 100644
--- a/previews/PR182/assets/index.md.BPhDq3ZT.lean.js
+++ b/previews/PR182/assets/index.md.KV6WTRX3.lean.js
@@ -1 +1 @@
-import{_ as e,c as t,o as a,a7 as o}from"./chunks/framework.rRrq4bmo.js";const g=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":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","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}'),i={name:"index.md"},n=o("",2),s=[n];function r(l,c,d,h,p,m){return a(),t("div",null,s)}const f=e(i,[["render",r]]);export{g as __pageData,f as default};
+import{_ as e,c as t,o as a,a7 as o}from"./chunks/framework.EaXv-vOb.js";const g=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":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","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}'),i={name:"index.md"},n=o("",2),s=[n];function r(l,c,d,h,p,m){return a(),t("div",null,s)}const f=e(i,[["render",r]]);export{g as __pageData,f as default};
diff --git a/previews/PR182/assets/introduction.md.BcwPlqUM.js b/previews/PR182/assets/introduction.md.DiuEOosS.js
similarity index 95%
rename from previews/PR182/assets/introduction.md.BcwPlqUM.js
rename to previews/PR182/assets/introduction.md.DiuEOosS.js
index 374bce166..9ee2896f3 100644
--- a/previews/PR182/assets/introduction.md.BcwPlqUM.js
+++ b/previews/PR182/assets/introduction.md.DiuEOosS.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.rRrq4bmo.js";const f=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),i={name:"introduction.md"},r=o('
Introduction ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
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.
We welcome contributions, either as pull requests or discussion on issues!
Main concepts ​
The apply paradigm ​
Note
See the Primitive Functions page for more information on this.
The apply function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.
Functionally, it's similar to map in the way you apply it to geometries.
apply and applyreduce take any geometry, vector of geometries, collection of geometries, or table (like Shapefile.Table, DataFrame, or GeoTable)!
What's this GeoInterface.Wrapper thing? ​
Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.
',13),n=[r];function c(s,p,l,d,h,m){return t(),a("div",null,n)}const g=e(i,[["render",c]]);export{f as __pageData,g as default};
+import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.EaXv-vOb.js";const f=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),i={name:"introduction.md"},r=o('
Introduction ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
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.
We welcome contributions, either as pull requests or discussion on issues!
Main concepts ​
The apply paradigm ​
Note
See the Primitive Functions page for more information on this.
The apply function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.
Functionally, it's similar to map in the way you apply it to geometries.
apply and applyreduce take any geometry, vector of geometries, collection of geometries, or table (like Shapefile.Table, DataFrame, or GeoTable)!
What's this GeoInterface.Wrapper thing? ​
Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.
',13),n=[r];function c(s,p,l,d,h,m){return t(),a("div",null,n)}const g=e(i,[["render",c]]);export{f as __pageData,g as default};
diff --git a/previews/PR182/assets/introduction.md.BcwPlqUM.lean.js b/previews/PR182/assets/introduction.md.DiuEOosS.lean.js
similarity index 68%
rename from previews/PR182/assets/introduction.md.BcwPlqUM.lean.js
rename to previews/PR182/assets/introduction.md.DiuEOosS.lean.js
index 21bddcd6c..70bc1f214 100644
--- a/previews/PR182/assets/introduction.md.BcwPlqUM.lean.js
+++ b/previews/PR182/assets/introduction.md.DiuEOosS.lean.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.rRrq4bmo.js";const f=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),i={name:"introduction.md"},r=o("",13),n=[r];function c(s,p,l,d,h,m){return t(),a("div",null,n)}const g=e(i,[["render",c]]);export{f as __pageData,g as default};
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zQNH{Ir)c3OG7=IRq!*a5LEatCd;8zRYDyEw8}_eeKy=0*<}E|02&)W}mBP)dhu^
    GeometryOps.jl ​
    julia
    module GeometryOps
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n(`
    GeometryOps.jl ​
    julia
    module GeometryOps
 
 using GeoInterface
 using GeometryBasics
diff --git a/previews/PR182/assets/source_GeometryOps.md.BicEQNa0.lean.js b/previews/PR182/assets/source_GeometryOps.md.BmRQ0DeT.lean.js
similarity index 70%
rename from previews/PR182/assets/source_GeometryOps.md.BicEQNa0.lean.js
rename to previews/PR182/assets/source_GeometryOps.md.BmRQ0DeT.lean.js
index 68c5da4cf..37338ba75 100644
--- a/previews/PR182/assets/source_GeometryOps.md.BicEQNa0.lean.js
+++ b/previews/PR182/assets/source_GeometryOps.md.BmRQ0DeT.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n("",8),t=[h];function k(p,e,E,r,d,g){return a(),i("div",null,t)}const F=s(l,[["render",k]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n("",8),t=[h];function k(p,e,E,r,d,g){return a(),i("div",null,t)}const F=s(l,[["render",k]]);export{y as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_angles.md.CtlLZzGI.js b/previews/PR182/assets/source_methods_angles.md.BoeUnF04.js
similarity index 99%
rename from previews/PR182/assets/source_methods_angles.md.CtlLZzGI.js
rename to previews/PR182/assets/source_methods_angles.md.BoeUnF04.js
index 371ef860a..c2681d909 100644
--- a/previews/PR182/assets/source_methods_angles.md.CtlLZzGI.js
+++ b/previews/PR182/assets/source_methods_angles.md.BoeUnF04.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/axlirwf.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n(`
    Angles ​
    julia
    export angles
    What is angles? ​
    Angles are the angles formed by a given geometries line segments, if it has line segments.
    To provide an example, consider this rectangle:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/lzipaux.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n(`
    Angles ​
    julia
    export angles
    What is angles? ​
    Angles are the angles formed by a given geometries line segments, if it has line segments.
    To provide an example, consider this rectangle:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie, CairoMakie
 
diff --git a/previews/PR182/assets/source_methods_angles.md.CtlLZzGI.lean.js b/previews/PR182/assets/source_methods_angles.md.BoeUnF04.lean.js
similarity index 74%
rename from previews/PR182/assets/source_methods_angles.md.CtlLZzGI.lean.js
rename to previews/PR182/assets/source_methods_angles.md.BoeUnF04.lean.js
index 4a53bcedb..56746a613 100644
--- a/previews/PR182/assets/source_methods_angles.md.CtlLZzGI.lean.js
+++ b/previews/PR182/assets/source_methods_angles.md.BoeUnF04.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/axlirwf.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n("",27),t=[k];function p(e,r,E,g,d,y){return a(),i("div",null,t)}const c=s(l,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/lzipaux.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n("",27),t=[k];function p(e,r,E,g,d,y){return a(),i("div",null,t)}const c=s(l,[["render",p]]);export{o as __pageData,c as default};
diff --git a/previews/PR182/assets/source_methods_area.md.Dyql-YvK.js b/previews/PR182/assets/source_methods_area.md.BxXqKeUH.js
similarity index 99%
rename from previews/PR182/assets/source_methods_area.md.Dyql-YvK.js
rename to previews/PR182/assets/source_methods_area.md.BxXqKeUH.js
index 9faf1de88..aadf15456 100644
--- a/previews/PR182/assets/source_methods_area.md.Dyql-YvK.js
+++ b/previews/PR182/assets/source_methods_area.md.BxXqKeUH.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/axlirwf.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR182/assets/ljhnlpp.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n(`
    Area and signed area ​
    julia
    export area, signed_area
    What is area? What is signed area? ​
    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.
    To provide an example, consider this rectangle:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/lzipaux.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR182/assets/zpkbbuk.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n(`
    Area and signed area ​
    julia
    export area, signed_area
    What is area? What is signed area? ​
    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.
    To provide an example, consider this rectangle:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_area.md.Dyql-YvK.lean.js b/previews/PR182/assets/source_methods_area.md.BxXqKeUH.lean.js
similarity index 65%
rename from previews/PR182/assets/source_methods_area.md.Dyql-YvK.lean.js
rename to previews/PR182/assets/source_methods_area.md.BxXqKeUH.lean.js
index 8b890dc89..89f68b173 100644
--- a/previews/PR182/assets/source_methods_area.md.Dyql-YvK.lean.js
+++ b/previews/PR182/assets/source_methods_area.md.BxXqKeUH.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/axlirwf.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR182/assets/ljhnlpp.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n("",40),p=[l];function k(r,d,g,E,o,y){return a(),i("div",null,p)}const C=s(e,[["render",k]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/lzipaux.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR182/assets/zpkbbuk.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n("",40),p=[l];function k(r,d,g,E,o,y){return a(),i("div",null,p)}const C=s(e,[["render",k]]);export{c as __pageData,C as default};
diff --git a/previews/PR182/assets/source_methods_barycentric.md.CPKQky8E.js b/previews/PR182/assets/source_methods_barycentric.md.BAZk0_6U.js
similarity index 99%
rename from previews/PR182/assets/source_methods_barycentric.md.CPKQky8E.js
rename to previews/PR182/assets/source_methods_barycentric.md.BAZk0_6U.js
index bc46a125f..5fb97de1b 100644
--- a/previews/PR182/assets/source_methods_barycentric.md.CPKQky8E.js
+++ b/previews/PR182/assets/source_methods_barycentric.md.BAZk0_6U.js
@@ -1,4 +1,4 @@
-import{_ as t,c as a,j as s,a as i,a7 as h,o as n}from"./chunks/framework.rRrq4bmo.js";const k="/GeometryOps.jl/previews/PR182/assets/ouhrtus.CZy9YIUA.png",R=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=h(`
    Barycentric coordinates ​
    julia
    export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
+import{_ as t,c as a,j as s,a as i,a7 as h,o as n}from"./chunks/framework.EaXv-vOb.js";const k="/GeometryOps.jl/previews/PR182/assets/rdfghvz.CZy9YIUA.png",R=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=h(`
    Barycentric coordinates ​
    julia
    export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
 export MeanValue
    Generalized barycentric coordinates are a generalization of barycentric coordinates, which are typically used in triangles, to arbitrary polygons.
    They provide a way to express a point within a polygon as a weighted average of the polygon's vertices.
    `,4),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=h('',1),d=[r],g=s("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"}},[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("msub",null,[s("mi",null,"λ"),s("mn",null,"3")]),s("mo",{stretchy:"false"},")")])],-1),y={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={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"},o=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("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),c=[o],C=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),B={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},A={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"},D=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("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),u=[D],T=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},b={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"},Q=h('',1),_=[Q],v=s("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"}},[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),w=h(`
    As with the triangle case, the weights sum to 1, and each is non-negative.
    Example ​
    This example was taken from this page of CGAL's documentation.
    julia
    using GeometryOps
 using GeometryOps.GeometryBasics
 using Makie
diff --git a/previews/PR182/assets/source_methods_barycentric.md.CPKQky8E.lean.js b/previews/PR182/assets/source_methods_barycentric.md.BAZk0_6U.lean.js
similarity index 98%
rename from previews/PR182/assets/source_methods_barycentric.md.CPKQky8E.lean.js
rename to previews/PR182/assets/source_methods_barycentric.md.BAZk0_6U.lean.js
index 601656cbb..9fe742735 100644
--- a/previews/PR182/assets/source_methods_barycentric.md.CPKQky8E.lean.js
+++ b/previews/PR182/assets/source_methods_barycentric.md.BAZk0_6U.lean.js
@@ -1 +1 @@
-import{_ as t,c as a,j as s,a as i,a7 as h,o as n}from"./chunks/framework.rRrq4bmo.js";const k="/GeometryOps.jl/previews/PR182/assets/ouhrtus.CZy9YIUA.png",R=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=h("",4),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=h("",1),d=[r],g=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 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453","aria-hidden":"true"},o=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("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),c=[o],C=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 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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),w=h("",35);function f(x,V,P,M,q,N){return n(),a("div",null,[p,s("p",null,[i("In the case of a triangle, barycentric coordinates are a set of three numbers "),s("mjx-container",e,[(n(),a("svg",E,d)),g]),i(", each associated with a vertex of the triangle. Any point within the triangle can be expressed as a weighted average of the vertices, where the weights are the barycentric coordinates. The weights sum to 1, and each is non-negative.")]),s("p",null,[i("For a polygon with "),s("mjx-container",y,[(n(),a("svg",F,c)),C]),i(" vertices, generalized barycentric coordinates are a set of "),s("mjx-container",B,[(n(),a("svg",A,u)),T]),i(" numbers "),s("mjx-container",m,[(n(),a("svg",b,_)),v]),i(", 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.")]),w])}const G=t(l,[["render",f]]);export{R as __pageData,G as default};
+import{_ as t,c as a,j as s,a as i,a7 as h,o as n}from"./chunks/framework.EaXv-vOb.js";const k="/GeometryOps.jl/previews/PR182/assets/rdfghvz.CZy9YIUA.png",R=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=h("",4),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=h("",1),d=[r],g=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 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0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},b={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"},Q=h("",1),_=[Q],v=s("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"}},[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),w=h("",35);function f(x,V,P,M,q,N){return n(),a("div",null,[p,s("p",null,[i("In the case of a triangle, barycentric coordinates are a set of three numbers "),s("mjx-container",e,[(n(),a("svg",E,d)),g]),i(", each associated with a vertex of the triangle. Any point within the triangle can be expressed as a weighted average of the vertices, where the weights are the barycentric coordinates. The weights sum to 1, and each is non-negative.")]),s("p",null,[i("For a polygon with "),s("mjx-container",y,[(n(),a("svg",F,c)),C]),i(" vertices, generalized barycentric coordinates are a set of "),s("mjx-container",B,[(n(),a("svg",A,u)),T]),i(" numbers "),s("mjx-container",m,[(n(),a("svg",b,_)),v]),i(", 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.")]),w])}const G=t(l,[["render",f]]);export{R as __pageData,G as default};
diff --git a/previews/PR182/assets/source_methods_buffer.md.BSRHYdu9.js b/previews/PR182/assets/source_methods_buffer.md.Bt4j9tzi.js
similarity index 98%
rename from previews/PR182/assets/source_methods_buffer.md.BSRHYdu9.js
rename to previews/PR182/assets/source_methods_buffer.md.Bt4j9tzi.js
index f1c7a18a7..2c1cb5c36 100644
--- a/previews/PR182/assets/source_methods_buffer.md.BSRHYdu9.js
+++ b/previews/PR182/assets/source_methods_buffer.md.Bt4j9tzi.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t(`
    Buffer ​
    Buffering a geometry means computing the region distance away from it, and returning that region as the new geometry.
    As of now, we only support GEOS as the backend, meaning that LibGEOS must be loaded.
    julia
    function buffer(geometry, distance; kwargs...)
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t(`
    Buffer ​
    Buffering a geometry means computing the region distance away from it, and returning that region as the new geometry.
    As of now, we only support GEOS as the backend, meaning that LibGEOS must be loaded.
    julia
    function buffer(geometry, distance; kwargs...)
     buffered = buffer(GEOS(; kwargs...), geometry, distance)
     return tuples(buffered)
 end
    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.
    Add an error hint for buffer if LibGEOS is not loaded!
    julia
    function _buffer_error_hinter(io, exc, argtypes, kwargs)
diff --git a/previews/PR182/assets/source_methods_buffer.md.BSRHYdu9.lean.js b/previews/PR182/assets/source_methods_buffer.md.Bt4j9tzi.lean.js
similarity index 70%
rename from previews/PR182/assets/source_methods_buffer.md.BSRHYdu9.lean.js
rename to previews/PR182/assets/source_methods_buffer.md.Bt4j9tzi.lean.js
index c7e18a342..4665fbe0b 100644
--- a/previews/PR182/assets/source_methods_buffer.md.BSRHYdu9.lean.js
+++ b/previews/PR182/assets/source_methods_buffer.md.Bt4j9tzi.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t("",9),h=[e];function k(p,l,r,d,E,o){return a(),i("div",null,h)}const c=s(n,[["render",k]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t("",9),h=[e];function k(p,l,r,d,E,o){return a(),i("div",null,h)}const c=s(n,[["render",k]]);export{y as __pageData,c as default};
diff --git a/previews/PR182/assets/source_methods_centroid.md.CsYD-_1O.js b/previews/PR182/assets/source_methods_centroid.md.YXlBFmya.js
similarity index 99%
rename from previews/PR182/assets/source_methods_centroid.md.CsYD-_1O.js
rename to previews/PR182/assets/source_methods_centroid.md.YXlBFmya.js
index abc3ba158..3fa230d2a 100644
--- a/previews/PR182/assets/source_methods_centroid.md.CsYD-_1O.js
+++ b/previews/PR182/assets/source_methods_centroid.md.YXlBFmya.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/ilrxhaq.BD0hVfse.png",t="/GeometryOps.jl/previews/PR182/assets/yhpibkn.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n(`
    Centroid ​
    julia
    export centroid, centroid_and_length, centroid_and_area
    What is the centroid? ​
    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.
    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's by their 'area components'.
    To provide an example, consider this concave polygon in the shape of a 'C':
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/vhjrhzo.BD0hVfse.png",t="/GeometryOps.jl/previews/PR182/assets/iuqgvxk.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n(`
    Centroid ​
    julia
    export centroid, centroid_and_length, centroid_and_area
    What is the centroid? ​
    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.
    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's by their 'area components'.
    To provide an example, consider this concave polygon in the shape of a 'C':
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_centroid.md.CsYD-_1O.lean.js b/previews/PR182/assets/source_methods_centroid.md.YXlBFmya.lean.js
similarity index 65%
rename from previews/PR182/assets/source_methods_centroid.md.CsYD-_1O.lean.js
rename to previews/PR182/assets/source_methods_centroid.md.YXlBFmya.lean.js
index cadd8f92a..217cce1d1 100644
--- a/previews/PR182/assets/source_methods_centroid.md.CsYD-_1O.lean.js
+++ b/previews/PR182/assets/source_methods_centroid.md.YXlBFmya.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/ilrxhaq.BD0hVfse.png",t="/GeometryOps.jl/previews/PR182/assets/yhpibkn.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n("",57),l=[p];function e(r,E,d,g,y,o){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{F as __pageData,C as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/vhjrhzo.BD0hVfse.png",t="/GeometryOps.jl/previews/PR182/assets/iuqgvxk.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n("",57),l=[p];function e(r,E,d,g,y,o){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{F as __pageData,C as default};
diff --git a/previews/PR182/assets/source_methods_clipping_clipping_processor.md.BZSY7QZW.js b/previews/PR182/assets/source_methods_clipping_clipping_processor.md.CmMAMzQ1.js
similarity index 99%
rename from previews/PR182/assets/source_methods_clipping_clipping_processor.md.BZSY7QZW.js
rename to previews/PR182/assets/source_methods_clipping_clipping_processor.md.CmMAMzQ1.js
index 5171a05b9..269599f6f 100644
--- a/previews/PR182/assets/source_methods_clipping_clipping_processor.md.BZSY7QZW.js
+++ b/previews/PR182/assets/source_methods_clipping_clipping_processor.md.CmMAMzQ1.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=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}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n(`
    Polygon clipping helpers ​
    This file contains the shared helper functions for the polygon clipping functionalities.
    This enum defines which side of an edge a point is on
    julia
    @enum PointEdgeSide left=1 right=2 unknown=3
    Constants assigned for readability
    julia
    const enter, exit = true, false
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=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}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n(`
    Polygon clipping helpers ​
    This file contains the shared helper functions for the polygon clipping functionalities.
    This enum defines which side of an edge a point is on
    julia
    @enum PointEdgeSide left=1 right=2 unknown=3
    Constants assigned for readability
    julia
    const enter, exit = true, false
 const crossing, bouncing = true, false
 
 #= A point can either be the start or end of an overlapping chain of points between two
diff --git a/previews/PR182/assets/source_methods_clipping_clipping_processor.md.BZSY7QZW.lean.js b/previews/PR182/assets/source_methods_clipping_clipping_processor.md.CmMAMzQ1.lean.js
similarity index 75%
rename from previews/PR182/assets/source_methods_clipping_clipping_processor.md.BZSY7QZW.lean.js
rename to previews/PR182/assets/source_methods_clipping_clipping_processor.md.CmMAMzQ1.lean.js
index 43e716f9e..fc085c244 100644
--- a/previews/PR182/assets/source_methods_clipping_clipping_processor.md.BZSY7QZW.lean.js
+++ b/previews/PR182/assets/source_methods_clipping_clipping_processor.md.CmMAMzQ1.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=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}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n("",169),p=[t];function l(k,e,E,r,d,g){return a(),i("div",null,p)}const c=s(h,[["render",l]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=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}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n("",169),p=[t];function l(k,e,E,r,d,g){return a(),i("div",null,p)}const c=s(h,[["render",l]]);export{o as __pageData,c as default};
diff --git a/previews/PR182/assets/source_methods_clipping_coverage.md.B2cWeSb0.js b/previews/PR182/assets/source_methods_clipping_coverage.md.B02tzWvV.js
similarity index 99%
rename from previews/PR182/assets/source_methods_clipping_coverage.md.B2cWeSb0.js
rename to previews/PR182/assets/source_methods_clipping_coverage.md.B02tzWvV.js
index dada0fedf..8bdff71b3 100644
--- a/previews/PR182/assets/source_methods_clipping_coverage.md.B2cWeSb0.js
+++ b/previews/PR182/assets/source_methods_clipping_coverage.md.B02tzWvV.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/ovguuda.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n(`
    julia
    export coverage
    What is coverage? ​
    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.
    To provide an example, consider this rectangle:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/gcpqbuh.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n(`
    julia
    export coverage
    What is coverage? ​
    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.
    To provide an example, consider this rectangle:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_clipping_coverage.md.B2cWeSb0.lean.js b/previews/PR182/assets/source_methods_clipping_coverage.md.B02tzWvV.lean.js
similarity index 75%
rename from previews/PR182/assets/source_methods_clipping_coverage.md.B2cWeSb0.lean.js
rename to previews/PR182/assets/source_methods_clipping_coverage.md.B02tzWvV.lean.js
index 6f4631b4b..66d0f2575 100644
--- a/previews/PR182/assets/source_methods_clipping_coverage.md.B2cWeSb0.lean.js
+++ b/previews/PR182/assets/source_methods_clipping_coverage.md.B02tzWvV.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/ovguuda.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n("",58),p=[k];function t(e,E,r,d,g,y){return a(),i("div",null,p)}const o=s(l,[["render",t]]);export{c as __pageData,o as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/gcpqbuh.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n("",58),p=[k];function t(e,E,r,d,g,y){return a(),i("div",null,p)}const o=s(l,[["render",t]]);export{c as __pageData,o as default};
diff --git a/previews/PR182/assets/source_methods_clipping_cut.md.M24wqMKE.js b/previews/PR182/assets/source_methods_clipping_cut.md.0cWrKIXt.js
similarity index 99%
rename from previews/PR182/assets/source_methods_clipping_cut.md.M24wqMKE.js
rename to previews/PR182/assets/source_methods_clipping_cut.md.0cWrKIXt.js
index f69e73d3e..1583a32a8 100644
--- a/previews/PR182/assets/source_methods_clipping_cut.md.M24wqMKE.js
+++ b/previews/PR182/assets/source_methods_clipping_cut.md.0cWrKIXt.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/mkcdqej.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n(`
    Polygon cutting ​
    julia
    export cut
    What is cut? ​
    The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
    To provide an example, consider the following polygon and line:
    julia
    import GeoInterface as GI, GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/nzqdmtj.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n(`
    Polygon cutting ​
    julia
    export cut
    What is cut? ​
    The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
    To provide an example, consider the following polygon and line:
    julia
    import GeoInterface as GI, GeometryOps as GO
 using CairoMakie
 using Makie
 
diff --git a/previews/PR182/assets/source_methods_clipping_cut.md.M24wqMKE.lean.js b/previews/PR182/assets/source_methods_clipping_cut.md.0cWrKIXt.lean.js
similarity index 75%
rename from previews/PR182/assets/source_methods_clipping_cut.md.M24wqMKE.lean.js
rename to previews/PR182/assets/source_methods_clipping_cut.md.0cWrKIXt.lean.js
index 6165766cb..20e26bc90 100644
--- a/previews/PR182/assets/source_methods_clipping_cut.md.M24wqMKE.lean.js
+++ b/previews/PR182/assets/source_methods_clipping_cut.md.0cWrKIXt.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/mkcdqej.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n("",34),p=[l];function k(e,r,E,d,g,y){return a(),i("div",null,p)}const F=s(t,[["render",k]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/nzqdmtj.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n("",34),p=[l];function k(e,r,E,d,g,y){return a(),i("div",null,p)}const F=s(t,[["render",k]]);export{c as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_clipping_difference.md.D6WDKTFM.js b/previews/PR182/assets/source_methods_clipping_difference.md.Be6OO0KG.js
similarity index 99%
rename from previews/PR182/assets/source_methods_clipping_difference.md.D6WDKTFM.js
rename to previews/PR182/assets/source_methods_clipping_difference.md.Be6OO0KG.js
index ea29101a3..b213e7858 100644
--- a/previews/PR182/assets/source_methods_clipping_difference.md.D6WDKTFM.js
+++ b/previews/PR182/assets/source_methods_clipping_difference.md.Be6OO0KG.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n(`
    Difference Polygon Clipping ​
    julia
    export difference
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n(`
    Difference Polygon Clipping ​
    julia
    export difference
 
 
 """
diff --git a/previews/PR182/assets/source_methods_clipping_difference.md.D6WDKTFM.lean.js b/previews/PR182/assets/source_methods_clipping_difference.md.Be6OO0KG.lean.js
similarity index 73%
rename from previews/PR182/assets/source_methods_clipping_difference.md.D6WDKTFM.lean.js
rename to previews/PR182/assets/source_methods_clipping_difference.md.Be6OO0KG.lean.js
index 22c9767f6..1c45a262c 100644
--- a/previews/PR182/assets/source_methods_clipping_difference.md.D6WDKTFM.lean.js
+++ b/previews/PR182/assets/source_methods_clipping_difference.md.Be6OO0KG.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n("",22),t=[p];function h(e,k,r,d,g,y){return a(),i("div",null,t)}const F=s(l,[["render",h]]);export{o as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n("",22),t=[p];function h(e,k,r,d,g,y){return a(),i("div",null,t)}const F=s(l,[["render",h]]);export{o as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_clipping_intersection.md.BBnTy6yU.js b/previews/PR182/assets/source_methods_clipping_intersection.md.CbDWu3Tv.js
similarity index 99%
rename from previews/PR182/assets/source_methods_clipping_intersection.md.BBnTy6yU.js
rename to previews/PR182/assets/source_methods_clipping_intersection.md.CbDWu3Tv.js
index 554b24260..e5e23183a 100644
--- a/previews/PR182/assets/source_methods_clipping_intersection.md.BBnTy6yU.js
+++ b/previews/PR182/assets/source_methods_clipping_intersection.md.CbDWu3Tv.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n(`
    Geometry Intersection ​
    julia
    export intersection, intersection_points
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n(`
    Geometry Intersection ​
    julia
    export intersection, intersection_points
 
 """
     Enum LineOrientation
diff --git a/previews/PR182/assets/source_methods_clipping_intersection.md.BBnTy6yU.lean.js b/previews/PR182/assets/source_methods_clipping_intersection.md.CbDWu3Tv.lean.js
similarity index 73%
rename from previews/PR182/assets/source_methods_clipping_intersection.md.BBnTy6yU.lean.js
rename to previews/PR182/assets/source_methods_clipping_intersection.md.CbDWu3Tv.lean.js
index ef85974d4..03e6a1743 100644
--- a/previews/PR182/assets/source_methods_clipping_intersection.md.BBnTy6yU.lean.js
+++ b/previews/PR182/assets/source_methods_clipping_intersection.md.CbDWu3Tv.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n("",80),l=[h];function p(k,e,r,E,d,g){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n("",80),l=[h];function p(k,e,r,E,d,g){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{o as __pageData,c as default};
diff --git a/previews/PR182/assets/source_methods_clipping_predicates.md.DRuO9S3k.js b/previews/PR182/assets/source_methods_clipping_predicates.md.CHQOwpoH.js
similarity index 99%
rename from previews/PR182/assets/source_methods_clipping_predicates.md.DRuO9S3k.js
rename to previews/PR182/assets/source_methods_clipping_predicates.md.CHQOwpoH.js
index fd5890eee..f2af7fa81 100644
--- a/previews/PR182/assets/source_methods_clipping_predicates.md.DRuO9S3k.js
+++ b/previews/PR182/assets/source_methods_clipping_predicates.md.CHQOwpoH.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=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}'),t={name:"source/methods/clipping/predicates.md"},h=n(`
    julia
    module Predicates
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=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}'),t={name:"source/methods/clipping/predicates.md"},h=n(`
    julia
    module Predicates
     using ExactPredicates, ExactPredicates.Codegen
     import ExactPredicates: ext
     import ExactPredicates.Codegen: group!, @genpredicate
diff --git a/previews/PR182/assets/source_methods_clipping_predicates.md.DRuO9S3k.lean.js b/previews/PR182/assets/source_methods_clipping_predicates.md.CHQOwpoH.lean.js
similarity index 75%
rename from previews/PR182/assets/source_methods_clipping_predicates.md.DRuO9S3k.lean.js
rename to previews/PR182/assets/source_methods_clipping_predicates.md.CHQOwpoH.lean.js
index e20d6b816..606eda5c7 100644
--- a/previews/PR182/assets/source_methods_clipping_predicates.md.DRuO9S3k.lean.js
+++ b/previews/PR182/assets/source_methods_clipping_predicates.md.CHQOwpoH.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=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}'),t={name:"source/methods/clipping/predicates.md"},h=n("",13),e=[h];function p(l,k,r,d,E,c){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{o as __pageData,y as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=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}'),t={name:"source/methods/clipping/predicates.md"},h=n("",13),e=[h];function p(l,k,r,d,E,c){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{o as __pageData,y as default};
diff --git a/previews/PR182/assets/source_methods_clipping_union.md.Cox3cqnl.js b/previews/PR182/assets/source_methods_clipping_union.md.Bmr9ZaLS.js
similarity index 99%
rename from previews/PR182/assets/source_methods_clipping_union.md.Cox3cqnl.js
rename to previews/PR182/assets/source_methods_clipping_union.md.Bmr9ZaLS.js
index 503236c10..e99a1f333 100644
--- a/previews/PR182/assets/source_methods_clipping_union.md.Cox3cqnl.js
+++ b/previews/PR182/assets/source_methods_clipping_union.md.Bmr9ZaLS.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n(`
    Union Polygon Clipping ​
    julia
    export union
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n(`
    Union Polygon Clipping ​
    julia
    export union
 
 """
     union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
diff --git a/previews/PR182/assets/source_methods_clipping_union.md.Cox3cqnl.lean.js b/previews/PR182/assets/source_methods_clipping_union.md.Bmr9ZaLS.lean.js
similarity index 72%
rename from previews/PR182/assets/source_methods_clipping_union.md.Cox3cqnl.lean.js
rename to previews/PR182/assets/source_methods_clipping_union.md.Bmr9ZaLS.lean.js
index f2616f814..18ce95df6 100644
--- a/previews/PR182/assets/source_methods_clipping_union.md.Cox3cqnl.lean.js
+++ b/previews/PR182/assets/source_methods_clipping_union.md.Bmr9ZaLS.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n("",28),p=[h];function t(k,e,r,E,g,y){return a(),i("div",null,p)}const F=s(l,[["render",t]]);export{o as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n("",28),p=[h];function t(k,e,r,E,g,y){return a(),i("div",null,p)}const F=s(l,[["render",t]]);export{o as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_convex_hull.md.DIY60T11.js b/previews/PR182/assets/source_methods_convex_hull.md.CS67Wxum.js
similarity index 98%
rename from previews/PR182/assets/source_methods_convex_hull.md.DIY60T11.js
rename to previews/PR182/assets/source_methods_convex_hull.md.CS67Wxum.js
index d0ada05ac..a039de2a7 100644
--- a/previews/PR182/assets/source_methods_convex_hull.md.DIY60T11.js
+++ b/previews/PR182/assets/source_methods_convex_hull.md.CS67Wxum.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const l="/GeometryOps.jl/previews/PR182/assets/xyerrme.D8_GULCp.png",h="/GeometryOps.jl/previews/PR182/assets/xeyzomd.mCtKcWOr.png",t="/GeometryOps.jl/previews/PR182/assets/kahgraq.Bhc1h7Qv.png",F=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),e={name:"source/methods/convex_hull.md"},p=n(`
    Convex hull ​
    The convex hull of a set of points is the smallest convex polygon that contains all the points.
    GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
    For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
    Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
    Example ​
    Simple hull ​
    julia
    import GeometryOps as GO, GeoInterface as GI
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const l="/GeometryOps.jl/previews/PR182/assets/fwqiaez.pL_aiv9Z.png",h="/GeometryOps.jl/previews/PR182/assets/oklepfu.mCtKcWOr.png",t="/GeometryOps.jl/previews/PR182/assets/vyfanhd.BzId6VIi.png",F=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),e={name:"source/methods/convex_hull.md"},p=n(`
    Convex hull ​
    The convex hull of a set of points is the smallest convex polygon that contains all the points.
    GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
    For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
    Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
    Example ​
    Simple hull ​
    julia
    import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 
 points = randn(GO.Point2f, 100)
diff --git a/previews/PR182/assets/source_methods_convex_hull.md.CS67Wxum.lean.js b/previews/PR182/assets/source_methods_convex_hull.md.CS67Wxum.lean.js
new file mode 100644
index 000000000..0bb06ae44
--- /dev/null
+++ b/previews/PR182/assets/source_methods_convex_hull.md.CS67Wxum.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const l="/GeometryOps.jl/previews/PR182/assets/fwqiaez.pL_aiv9Z.png",h="/GeometryOps.jl/previews/PR182/assets/oklepfu.mCtKcWOr.png",t="/GeometryOps.jl/previews/PR182/assets/vyfanhd.BzId6VIi.png",F=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),e={name:"source/methods/convex_hull.md"},p=n("",35),k=[p];function r(o,d,E,g,y,c){return a(),i("div",null,k)}const C=s(e,[["render",r]]);export{F as __pageData,C as default};
diff --git a/previews/PR182/assets/source_methods_convex_hull.md.DIY60T11.lean.js b/previews/PR182/assets/source_methods_convex_hull.md.DIY60T11.lean.js
deleted file mode 100644
index 1cbe14f4e..000000000
--- a/previews/PR182/assets/source_methods_convex_hull.md.DIY60T11.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const l="/GeometryOps.jl/previews/PR182/assets/xyerrme.D8_GULCp.png",h="/GeometryOps.jl/previews/PR182/assets/xeyzomd.mCtKcWOr.png",t="/GeometryOps.jl/previews/PR182/assets/kahgraq.Bhc1h7Qv.png",F=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),e={name:"source/methods/convex_hull.md"},p=n("",35),k=[p];function r(o,d,E,g,y,c){return a(),i("div",null,k)}const C=s(e,[["render",r]]);export{F as __pageData,C as default};
diff --git a/previews/PR182/assets/source_methods_distance.md.BiD2MUUO.js b/previews/PR182/assets/source_methods_distance.md.Ci-WvI6r.js
similarity index 99%
rename from previews/PR182/assets/source_methods_distance.md.BiD2MUUO.js
rename to previews/PR182/assets/source_methods_distance.md.Ci-WvI6r.js
index a8ab3c1ee..b04422818 100644
--- a/previews/PR182/assets/source_methods_distance.md.BiD2MUUO.js
+++ b/previews/PR182/assets/source_methods_distance.md.Ci-WvI6r.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/cmgbbwe.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR182/assets/kngussk.DuBHk1fh.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n(`
    Distance and signed distance ​
    julia
    export distance, signed_distance
    What is distance? What is signed distance? ​
    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 "non-filled" geometries, like curves, the distance will either be positive or 0.
    To provide an example, consider this rectangle:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/ntlrnaf.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR182/assets/qvhcizz.DuBHk1fh.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n(`
    Distance and signed distance ​
    julia
    export distance, signed_distance
    What is distance? What is signed distance? ​
    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 "non-filled" geometries, like curves, the distance will either be positive or 0.
    To provide an example, consider this rectangle:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_distance.md.BiD2MUUO.lean.js b/previews/PR182/assets/source_methods_distance.md.Ci-WvI6r.lean.js
similarity index 67%
rename from previews/PR182/assets/source_methods_distance.md.BiD2MUUO.lean.js
rename to previews/PR182/assets/source_methods_distance.md.Ci-WvI6r.lean.js
index 22490e930..841352699 100644
--- a/previews/PR182/assets/source_methods_distance.md.BiD2MUUO.lean.js
+++ b/previews/PR182/assets/source_methods_distance.md.Ci-WvI6r.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/cmgbbwe.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR182/assets/kngussk.DuBHk1fh.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n("",54),l=[p];function e(d,E,r,g,y,F){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/ntlrnaf.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR182/assets/qvhcizz.DuBHk1fh.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n("",54),l=[p];function e(d,E,r,g,y,F){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{c as __pageData,C as default};
diff --git a/previews/PR182/assets/source_methods_equals.md.CPDvAwzq.js b/previews/PR182/assets/source_methods_equals.md.ClB7XRbP.js
similarity index 99%
rename from previews/PR182/assets/source_methods_equals.md.CPDvAwzq.js
rename to previews/PR182/assets/source_methods_equals.md.ClB7XRbP.js
index 2a6ed0156..b3d317983 100644
--- a/previews/PR182/assets/source_methods_equals.md.CPDvAwzq.js
+++ b/previews/PR182/assets/source_methods_equals.md.ClB7XRbP.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const l="/GeometryOps.jl/previews/PR182/assets/fkmukdz.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n(`
    Equals ​
    julia
    export equals
    What is equals? ​
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const l="/GeometryOps.jl/previews/PR182/assets/gfixymm.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n(`
    Equals ​
    julia
    export equals
    What is equals? ​
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_equals.md.CPDvAwzq.lean.js b/previews/PR182/assets/source_methods_equals.md.ClB7XRbP.lean.js
similarity index 74%
rename from previews/PR182/assets/source_methods_equals.md.CPDvAwzq.lean.js
rename to previews/PR182/assets/source_methods_equals.md.ClB7XRbP.lean.js
index 7c687e94b..341e29cca 100644
--- a/previews/PR182/assets/source_methods_equals.md.CPDvAwzq.lean.js
+++ b/previews/PR182/assets/source_methods_equals.md.ClB7XRbP.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const l="/GeometryOps.jl/previews/PR182/assets/fkmukdz.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n("",47),p=[h];function k(e,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",k]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const l="/GeometryOps.jl/previews/PR182/assets/gfixymm.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n("",47),p=[h];function k(e,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",k]]);export{y as __pageData,c as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_contains.md.BS1k9f-c.js b/previews/PR182/assets/source_methods_geom_relations_contains.md.BRMugVCf.js
similarity index 98%
rename from previews/PR182/assets/source_methods_geom_relations_contains.md.BS1k9f-c.js
rename to previews/PR182/assets/source_methods_geom_relations_contains.md.BRMugVCf.js
index 9d8c51614..1f84acd66 100644
--- a/previews/PR182/assets/source_methods_geom_relations_contains.md.BS1k9f-c.js
+++ b/previews/PR182/assets/source_methods_geom_relations_contains.md.BRMugVCf.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const t="/GeometryOps.jl/previews/PR182/assets/sspoqyx._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n(`
    Contains ​
    julia
    export contains
    What is contains? ​
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const t="/GeometryOps.jl/previews/PR182/assets/loanatg._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n(`
    Contains ​
    julia
    export contains
    What is contains? ​
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_geom_relations_contains.md.BS1k9f-c.lean.js b/previews/PR182/assets/source_methods_geom_relations_contains.md.BRMugVCf.lean.js
similarity index 76%
rename from previews/PR182/assets/source_methods_geom_relations_contains.md.BS1k9f-c.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_contains.md.BRMugVCf.lean.js
index 213fef1ad..c82e88d68 100644
--- a/previews/PR182/assets/source_methods_geom_relations_contains.md.BS1k9f-c.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_contains.md.BRMugVCf.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const t="/GeometryOps.jl/previews/PR182/assets/sspoqyx._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n("",18),l=[h];function p(k,r,o,d,g,E){return a(),i("div",null,l)}const F=s(e,[["render",p]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const t="/GeometryOps.jl/previews/PR182/assets/loanatg._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n("",18),l=[h];function p(k,r,o,d,g,E){return a(),i("div",null,l)}const F=s(e,[["render",p]]);export{y as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_coveredby.md.CzA4dzy8.js b/previews/PR182/assets/source_methods_geom_relations_coveredby.md._mldhD26.js
similarity index 99%
rename from previews/PR182/assets/source_methods_geom_relations_coveredby.md.CzA4dzy8.js
rename to previews/PR182/assets/source_methods_geom_relations_coveredby.md._mldhD26.js
index d9ec68ec3..5ea133fb7 100644
--- a/previews/PR182/assets/source_methods_geom_relations_coveredby.md.CzA4dzy8.js
+++ b/previews/PR182/assets/source_methods_geom_relations_coveredby.md._mldhD26.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const e="/GeometryOps.jl/previews/PR182/assets/aseeflb.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n(`
    CoveredBy ​
    julia
    export coveredby
    What is coveredby? ​
    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't outside of the second geometry.
    To provide an example, consider this point and line:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const e="/GeometryOps.jl/previews/PR182/assets/qghrzbd.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n(`
    CoveredBy ​
    julia
    export coveredby
    What is coveredby? ​
    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't outside of the second geometry.
    To provide an example, consider this point and line:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_geom_relations_coveredby.md.CzA4dzy8.lean.js b/previews/PR182/assets/source_methods_geom_relations_coveredby.md._mldhD26.lean.js
similarity index 76%
rename from previews/PR182/assets/source_methods_geom_relations_coveredby.md.CzA4dzy8.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_coveredby.md._mldhD26.lean.js
index c4900896a..03270ebcf 100644
--- a/previews/PR182/assets/source_methods_geom_relations_coveredby.md.CzA4dzy8.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_coveredby.md._mldhD26.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const e="/GeometryOps.jl/previews/PR182/assets/aseeflb.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n("",45),t=[h];function p(k,r,E,d,g,o){return a(),i("div",null,t)}const F=s(l,[["render",p]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const e="/GeometryOps.jl/previews/PR182/assets/qghrzbd.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n("",45),t=[h];function p(k,r,E,d,g,o){return a(),i("div",null,t)}const F=s(l,[["render",p]]);export{c as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_covers.md.MCIFEUOp.js b/previews/PR182/assets/source_methods_geom_relations_covers.md.CW-lj5pr.js
similarity index 98%
rename from previews/PR182/assets/source_methods_geom_relations_covers.md.MCIFEUOp.js
rename to previews/PR182/assets/source_methods_geom_relations_covers.md.CW-lj5pr.js
index 614988d06..1b139fcff 100644
--- a/previews/PR182/assets/source_methods_geom_relations_covers.md.MCIFEUOp.js
+++ b/previews/PR182/assets/source_methods_geom_relations_covers.md.CW-lj5pr.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.rRrq4bmo.js";const n="/GeometryOps.jl/previews/PR182/assets/aseeflb.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e(`
    Covers ​
    julia
    export covers
    What is covers? ​
    The covers function checks if a given geometry completely covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.EaXv-vOb.js";const n="/GeometryOps.jl/previews/PR182/assets/qghrzbd.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e(`
    Covers ​
    julia
    export covers
    What is covers? ​
    The covers function checks if a given geometry completely covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_geom_relations_covers.md.MCIFEUOp.lean.js b/previews/PR182/assets/source_methods_geom_relations_covers.md.CW-lj5pr.lean.js
similarity index 76%
rename from previews/PR182/assets/source_methods_geom_relations_covers.md.MCIFEUOp.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_covers.md.CW-lj5pr.lean.js
index 69be61bce..751b8e713 100644
--- a/previews/PR182/assets/source_methods_geom_relations_covers.md.MCIFEUOp.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_covers.md.CW-lj5pr.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.rRrq4bmo.js";const n="/GeometryOps.jl/previews/PR182/assets/aseeflb.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e("",17),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const u=s(t,[["render",h]]);export{y as __pageData,u as default};
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.EaXv-vOb.js";const n="/GeometryOps.jl/previews/PR182/assets/qghrzbd.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e("",17),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const u=s(t,[["render",h]]);export{y as __pageData,u as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_crosses.md.O-P9u63N.js b/previews/PR182/assets/source_methods_geom_relations_crosses.md.WuIqj6Tr.js
similarity index 99%
rename from previews/PR182/assets/source_methods_geom_relations_crosses.md.O-P9u63N.js
rename to previews/PR182/assets/source_methods_geom_relations_crosses.md.WuIqj6Tr.js
index 38d43233d..d5ff9c89a 100644
--- a/previews/PR182/assets/source_methods_geom_relations_crosses.md.O-P9u63N.js
+++ b/previews/PR182/assets/source_methods_geom_relations_crosses.md.WuIqj6Tr.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n(`
    Crossing checks ​
    julia
    """
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n(`
    Crossing checks ​
    julia
    """
      crosses(geom1, geom2)::Bool
 
 Return \`true\` if the intersection results in a geometry whose dimension is one less than
diff --git a/previews/PR182/assets/source_methods_geom_relations_crosses.md.O-P9u63N.lean.js b/previews/PR182/assets/source_methods_geom_relations_crosses.md.WuIqj6Tr.lean.js
similarity index 73%
rename from previews/PR182/assets/source_methods_geom_relations_crosses.md.O-P9u63N.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_crosses.md.WuIqj6Tr.lean.js
index 97a19d0d4..0a2e379a9 100644
--- a/previews/PR182/assets/source_methods_geom_relations_crosses.md.O-P9u63N.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_crosses.md.WuIqj6Tr.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n("",10),h=[p];function t(k,e,r,E,g,d){return a(),i("div",null,h)}const o=s(l,[["render",t]]);export{y as __pageData,o as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n("",10),h=[p];function t(k,e,r,E,g,d){return a(),i("div",null,h)}const o=s(l,[["render",t]]);export{y as __pageData,o as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_disjoint.md.VniGOloT.js b/previews/PR182/assets/source_methods_geom_relations_disjoint.md.D-uYn9FO.js
similarity index 99%
rename from previews/PR182/assets/source_methods_geom_relations_disjoint.md.VniGOloT.js
rename to previews/PR182/assets/source_methods_geom_relations_disjoint.md.D-uYn9FO.js
index 7f0312f72..8f1b09808 100644
--- a/previews/PR182/assets/source_methods_geom_relations_disjoint.md.VniGOloT.js
+++ b/previews/PR182/assets/source_methods_geom_relations_disjoint.md.D-uYn9FO.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const t="/GeometryOps.jl/previews/PR182/assets/rcmzbto.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n(`
    Disjoint ​
    julia
    export disjoint
    What is disjoint? ​
    The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const t="/GeometryOps.jl/previews/PR182/assets/isfsuid.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n(`
    Disjoint ​
    julia
    export disjoint
    What is disjoint? ​
    The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_geom_relations_disjoint.md.VniGOloT.lean.js b/previews/PR182/assets/source_methods_geom_relations_disjoint.md.D-uYn9FO.lean.js
similarity index 76%
rename from previews/PR182/assets/source_methods_geom_relations_disjoint.md.VniGOloT.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_disjoint.md.D-uYn9FO.lean.js
index d7776c838..cc444316a 100644
--- a/previews/PR182/assets/source_methods_geom_relations_disjoint.md.VniGOloT.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_disjoint.md.D-uYn9FO.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const t="/GeometryOps.jl/previews/PR182/assets/rcmzbto.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n("",39),p=[l];function k(e,r,E,g,d,o){return a(),i("div",null,p)}const F=s(h,[["render",k]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const t="/GeometryOps.jl/previews/PR182/assets/isfsuid.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n("",39),p=[l];function k(e,r,E,g,d,o){return a(),i("div",null,p)}const F=s(h,[["render",k]]);export{c as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.baOkBwSe.js b/previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.BAH0HeU8.js
similarity index 99%
rename from previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.baOkBwSe.js
rename to previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.BAH0HeU8.js
index 1201ef25f..dc3dadbce 100644
--- a/previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.baOkBwSe.js
+++ b/previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.BAH0HeU8.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=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}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n(`
    Line-curve interaction ​
    julia
    #= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=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}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n(`
    Line-curve interaction ​
    julia
    #= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)
 and attempts a standardized solution for most of the functions.
 =#
 
diff --git a/previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.baOkBwSe.lean.js b/previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.BAH0HeU8.lean.js
similarity index 76%
rename from previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.baOkBwSe.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.BAH0HeU8.lean.js
index 5605887c6..2ace7c943 100644
--- a/previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.baOkBwSe.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_geom_geom_processors.md.BAH0HeU8.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=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}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n("",142),t=[l];function p(k,e,r,E,d,g){return a(),i("div",null,t)}const c=s(h,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=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}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n("",142),t=[l];function p(k,e,r,E,d,g){return a(),i("div",null,t)}const c=s(h,[["render",p]]);export{o as __pageData,c as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_intersects.md.DyQeLV5_.js b/previews/PR182/assets/source_methods_geom_relations_intersects.md.BcrXX2Yg.js
similarity index 98%
rename from previews/PR182/assets/source_methods_geom_relations_intersects.md.DyQeLV5_.js
rename to previews/PR182/assets/source_methods_geom_relations_intersects.md.BcrXX2Yg.js
index 63a32bc99..9382fd84d 100644
--- a/previews/PR182/assets/source_methods_geom_relations_intersects.md.DyQeLV5_.js
+++ b/previews/PR182/assets/source_methods_geom_relations_intersects.md.BcrXX2Yg.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.rRrq4bmo.js";const n="/GeometryOps.jl/previews/PR182/assets/yruwukg.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e(`
    Intersection checks ​
    julia
    export intersects
    What is intersects? ​
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.EaXv-vOb.js";const n="/GeometryOps.jl/previews/PR182/assets/jqfqpjf.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e(`
    Intersection checks ​
    julia
    export intersects
    What is intersects? ​
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_geom_relations_intersects.md.DyQeLV5_.lean.js b/previews/PR182/assets/source_methods_geom_relations_intersects.md.BcrXX2Yg.lean.js
similarity index 77%
rename from previews/PR182/assets/source_methods_geom_relations_intersects.md.DyQeLV5_.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_intersects.md.BcrXX2Yg.lean.js
index 4f00227bf..93d349586 100644
--- a/previews/PR182/assets/source_methods_geom_relations_intersects.md.DyQeLV5_.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_intersects.md.BcrXX2Yg.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.rRrq4bmo.js";const n="/GeometryOps.jl/previews/PR182/assets/yruwukg.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e("",18),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.EaXv-vOb.js";const n="/GeometryOps.jl/previews/PR182/assets/jqfqpjf.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e("",18),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{y as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_overlaps.md.Bv-bzlWd.js b/previews/PR182/assets/source_methods_geom_relations_overlaps.md.BSXCAVN5.js
similarity index 99%
rename from previews/PR182/assets/source_methods_geom_relations_overlaps.md.Bv-bzlWd.js
rename to previews/PR182/assets/source_methods_geom_relations_overlaps.md.BSXCAVN5.js
index 11a7a3d8c..5a2c6f146 100644
--- a/previews/PR182/assets/source_methods_geom_relations_overlaps.md.Bv-bzlWd.js
+++ b/previews/PR182/assets/source_methods_geom_relations_overlaps.md.BSXCAVN5.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const l="/GeometryOps.jl/previews/PR182/assets/fkmukdz.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n(`
    Overlaps ​
    julia
    export overlaps
    What is overlaps? ​
    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.
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const l="/GeometryOps.jl/previews/PR182/assets/gfixymm.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n(`
    Overlaps ​
    julia
    export overlaps
    What is overlaps? ​
    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.
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_geom_relations_overlaps.md.Bv-bzlWd.lean.js b/previews/PR182/assets/source_methods_geom_relations_overlaps.md.BSXCAVN5.lean.js
similarity index 76%
rename from previews/PR182/assets/source_methods_geom_relations_overlaps.md.Bv-bzlWd.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_overlaps.md.BSXCAVN5.lean.js
index 29b8d8d4f..b22346ae3 100644
--- a/previews/PR182/assets/source_methods_geom_relations_overlaps.md.Bv-bzlWd.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_overlaps.md.BSXCAVN5.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const l="/GeometryOps.jl/previews/PR182/assets/fkmukdz.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n("",37),e=[t];function h(k,r,d,g,o,F){return a(),i("div",null,e)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const l="/GeometryOps.jl/previews/PR182/assets/gfixymm.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n("",37),e=[t];function h(k,r,d,g,o,F){return a(),i("div",null,e)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_touches.md.C6YJqs2M.js b/previews/PR182/assets/source_methods_geom_relations_touches.md.BH-l3GQx.js
similarity index 99%
rename from previews/PR182/assets/source_methods_geom_relations_touches.md.C6YJqs2M.js
rename to previews/PR182/assets/source_methods_geom_relations_touches.md.BH-l3GQx.js
index 04b70a1a1..0ae09bcc5 100644
--- a/previews/PR182/assets/source_methods_geom_relations_touches.md.C6YJqs2M.js
+++ b/previews/PR182/assets/source_methods_geom_relations_touches.md.BH-l3GQx.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const t="/GeometryOps.jl/previews/PR182/assets/gwbhqul.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n(`
    Touches ​
    julia
    export touches
    What is touches? ​
    The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const t="/GeometryOps.jl/previews/PR182/assets/wlzsxgb.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n(`
    Touches ​
    julia
    export touches
    What is touches? ​
    The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_geom_relations_touches.md.C6YJqs2M.lean.js b/previews/PR182/assets/source_methods_geom_relations_touches.md.BH-l3GQx.lean.js
similarity index 76%
rename from previews/PR182/assets/source_methods_geom_relations_touches.md.C6YJqs2M.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_touches.md.BH-l3GQx.lean.js
index 9eea98ea9..485e697cf 100644
--- a/previews/PR182/assets/source_methods_geom_relations_touches.md.C6YJqs2M.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_touches.md.BH-l3GQx.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const t="/GeometryOps.jl/previews/PR182/assets/gwbhqul.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(h,[["render",p]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const t="/GeometryOps.jl/previews/PR182/assets/wlzsxgb.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(h,[["render",p]]);export{c as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_geom_relations_within.md.BB1aOa8u.js b/previews/PR182/assets/source_methods_geom_relations_within.md.DxIpB6FY.js
similarity index 99%
rename from previews/PR182/assets/source_methods_geom_relations_within.md.BB1aOa8u.js
rename to previews/PR182/assets/source_methods_geom_relations_within.md.DxIpB6FY.js
index 9ef48e534..d81889c7f 100644
--- a/previews/PR182/assets/source_methods_geom_relations_within.md.BB1aOa8u.js
+++ b/previews/PR182/assets/source_methods_geom_relations_within.md.DxIpB6FY.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/sspoqyx._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n(`
    Within ​
    julia
    export within
    What is within? ​
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/loanatg._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n(`
    Within ​
    julia
    export within
    What is within? ​
    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.
    To provide an example, consider these two lines:
    julia
    import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR182/assets/source_methods_geom_relations_within.md.BB1aOa8u.lean.js b/previews/PR182/assets/source_methods_geom_relations_within.md.DxIpB6FY.lean.js
similarity index 76%
rename from previews/PR182/assets/source_methods_geom_relations_within.md.BB1aOa8u.lean.js
rename to previews/PR182/assets/source_methods_geom_relations_within.md.DxIpB6FY.lean.js
index 3988ad8e9..41f51d292 100644
--- a/previews/PR182/assets/source_methods_geom_relations_within.md.BB1aOa8u.lean.js
+++ b/previews/PR182/assets/source_methods_geom_relations_within.md.DxIpB6FY.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/sspoqyx._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(t,[["render",p]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/loanatg._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(t,[["render",p]]);export{c as __pageData,F as default};
diff --git a/previews/PR182/assets/source_methods_orientation.md.xzk51Swn.js b/previews/PR182/assets/source_methods_orientation.md.epWM1wOm.js
similarity index 99%
rename from previews/PR182/assets/source_methods_orientation.md.xzk51Swn.js
rename to previews/PR182/assets/source_methods_orientation.md.epWM1wOm.js
index 968efe1e5..603b6d48d 100644
--- a/previews/PR182/assets/source_methods_orientation.md.xzk51Swn.js
+++ b/previews/PR182/assets/source_methods_orientation.md.epWM1wOm.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n(`
    Orientation ​
    julia
    export isclockwise, isconcave
    isclockwise ​
    The orientation of a geometry is whether it runs clockwise or counter-clockwise.
    This is defined for linestrings, linear rings, or vectors of points.
    isconcave ​
    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.
    These are all adapted from Turf.jl.
    The may not necessarily be what want in the end but work for now!
    julia
    """
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n(`
    Orientation ​
    julia
    export isclockwise, isconcave
    isclockwise ​
    The orientation of a geometry is whether it runs clockwise or counter-clockwise.
    This is defined for linestrings, linear rings, or vectors of points.
    isconcave ​
    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.
    These are all adapted from Turf.jl.
    The may not necessarily be what want in the end but work for now!
    julia
    """
     isclockwise(line::Union{LineString, Vector{Position}})::Bool
 
 Take a ring and return \`true\` if the line goes clockwise, or \`false\` if the line goes
diff --git a/previews/PR182/assets/source_methods_orientation.md.xzk51Swn.lean.js b/previews/PR182/assets/source_methods_orientation.md.epWM1wOm.lean.js
similarity index 71%
rename from previews/PR182/assets/source_methods_orientation.md.xzk51Swn.lean.js
rename to previews/PR182/assets/source_methods_orientation.md.epWM1wOm.lean.js
index dac1bb1cd..634e86dfb 100644
--- a/previews/PR182/assets/source_methods_orientation.md.xzk51Swn.lean.js
+++ b/previews/PR182/assets/source_methods_orientation.md.epWM1wOm.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n("",28),h=[p];function t(e,k,r,d,g,E){return a(),i("div",null,h)}const c=s(l,[["render",t]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n("",28),h=[p];function t(e,k,r,d,g,E){return a(),i("div",null,h)}const c=s(l,[["render",t]]);export{y as __pageData,c as default};
diff --git a/previews/PR182/assets/source_methods_polygonize.md.ytY1KxGI.js b/previews/PR182/assets/source_methods_polygonize.md.C4wpoHg1.js
similarity index 99%
rename from previews/PR182/assets/source_methods_polygonize.md.ytY1KxGI.js
rename to previews/PR182/assets/source_methods_polygonize.md.C4wpoHg1.js
index 2a2ee362b..4deab5c23 100644
--- a/previews/PR182/assets/source_methods_polygonize.md.ytY1KxGI.js
+++ b/previews/PR182/assets/source_methods_polygonize.md.C4wpoHg1.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n(`
    Polygonizing raster data ​
    julia
    export polygonize
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n(`
    Polygonizing raster data ​
    julia
    export polygonize
 
 #=
 The methods in this file convert a raster image into a set of polygons,
diff --git a/previews/PR182/assets/source_methods_polygonize.md.ytY1KxGI.lean.js b/previews/PR182/assets/source_methods_polygonize.md.C4wpoHg1.lean.js
similarity index 72%
rename from previews/PR182/assets/source_methods_polygonize.md.ytY1KxGI.lean.js
rename to previews/PR182/assets/source_methods_polygonize.md.C4wpoHg1.lean.js
index 9a61ac726..5a8c07414 100644
--- a/previews/PR182/assets/source_methods_polygonize.md.ytY1KxGI.lean.js
+++ b/previews/PR182/assets/source_methods_polygonize.md.C4wpoHg1.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n("",86),p=[l];function t(k,e,d,E,r,g){return a(),i("div",null,p)}const c=s(h,[["render",t]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n("",86),p=[l];function t(k,e,d,E,r,g){return a(),i("div",null,p)}const c=s(h,[["render",t]]);export{o as __pageData,c as default};
diff --git a/previews/PR182/assets/source_not_implemented_yet.md.CS2z-B3G.js b/previews/PR182/assets/source_not_implemented_yet.md.Co7bgtaC.js
similarity index 94%
rename from previews/PR182/assets/source_not_implemented_yet.md.CS2z-B3G.js
rename to previews/PR182/assets/source_not_implemented_yet.md.Co7bgtaC.js
index 5bc056bd1..df0c8466c 100644
--- a/previews/PR182/assets/source_not_implemented_yet.md.CS2z-B3G.js
+++ b/previews/PR182/assets/source_not_implemented_yet.md.Co7bgtaC.js
@@ -1,4 +1,4 @@
-import{_ as e,c as i,o as t,a7 as s}from"./chunks/framework.rRrq4bmo.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s(`
    Not implemented yet ​
    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.
    julia
    function symdifference end
+import{_ as e,c as i,o as t,a7 as s}from"./chunks/framework.EaXv-vOb.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s(`
    Not implemented yet ​
    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.
    julia
    function symdifference end
 function buffer end
 function convexhull end
 function concavehull end
    This page was generated using Literate.jl.
    `,5),l=[n];function p(h,o,r,d,c,m){return t(),i("div",null,l)}const u=e(a,[["render",p]]);export{_ as __pageData,u as default};
diff --git a/previews/PR182/assets/source_not_implemented_yet.md.CS2z-B3G.lean.js b/previews/PR182/assets/source_not_implemented_yet.md.Co7bgtaC.lean.js
similarity index 71%
rename from previews/PR182/assets/source_not_implemented_yet.md.CS2z-B3G.lean.js
rename to previews/PR182/assets/source_not_implemented_yet.md.Co7bgtaC.lean.js
index 0039884ba..233899bc9 100644
--- a/previews/PR182/assets/source_not_implemented_yet.md.CS2z-B3G.lean.js
+++ b/previews/PR182/assets/source_not_implemented_yet.md.Co7bgtaC.lean.js
@@ -1 +1 @@
-import{_ as e,c as i,o as t,a7 as s}from"./chunks/framework.rRrq4bmo.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s("",5),l=[n];function p(h,o,r,d,c,m){return t(),i("div",null,l)}const u=e(a,[["render",p]]);export{_ as __pageData,u as default};
+import{_ as e,c as i,o as t,a7 as s}from"./chunks/framework.EaXv-vOb.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s("",5),l=[n];function p(h,o,r,d,c,m){return t(),i("div",null,l)}const u=e(a,[["render",p]]);export{_ as __pageData,u as default};
diff --git a/previews/PR182/assets/source_primitives.md.wZKzKWWl.js b/previews/PR182/assets/source_primitives.md.Bi9iHLSx.js
similarity index 99%
rename from previews/PR182/assets/source_primitives.md.wZKzKWWl.js
rename to previews/PR182/assets/source_primitives.md.Bi9iHLSx.js
index d39d07ac3..24c44bbd1 100644
--- a/previews/PR182/assets/source_primitives.md.wZKzKWWl.js
+++ b/previews/PR182/assets/source_primitives.md.Bi9iHLSx.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t(`
    Primitive functions ​
    julia
    export apply, applyreduce, TraitTarget
    This file mainly defines the apply and applyreduce functions, and some related functionality.
    In general, the idea behind the apply 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 TraitTarget union thereof, like PointTrait or PolygonTrait) and perform some operation on it.
    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.
    For example, a simple way to flip the x and y coordinates of a geometry is:
    julia
    flipped_geom = GO.apply(GI.PointTrait(), geom) do p
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t(`
    Primitive functions ​
    julia
    export apply, applyreduce, TraitTarget
    This file mainly defines the apply and applyreduce functions, and some related functionality.
    In general, the idea behind the apply 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 TraitTarget union thereof, like PointTrait or PolygonTrait) and perform some operation on it.
    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.
    For example, a simple way to flip the x and y coordinates of a geometry is:
    julia
    flipped_geom = GO.apply(GI.PointTrait(), geom) do p
     (GI.y(p), GI.x(p))
 end
    As simple as that. There's no need to implement your own decomposition because it's done for you.
    Functions like flip, reproject, transform, even segmentize and simplify have been implemented using the apply framework. Similarly, centroid, area and distance have been implemented using the applyreduce framework.
    Docstrings ​
    Functions ​
    Missing docstring.
    Missing docstring for apply. Check Documenter's build log for details.
    Missing docstring.
    Missing docstring for applyreduce. Check Documenter's build log for details.
    Missing docstring.
    Missing docstring for GeometryOps.unwrap. Check Documenter's build log for details.
    # GeometryOps.flatten — Function. 
    julia
    flatten(target::Type{<:GI.AbstractTrait}, obj)
 flatten(f, target::Type{<:GI.AbstractTrait}, obj)
    Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.
    If f is passed in it will be applied to the target geometries.
    source

    # GeometryOps.reconstruct — Function. 
    julia
    reconstruct(geom, components)
    Reconstruct geom from an iterable of component objects that match its structure.
    All objects in components must have the same GeoInterface.trait.
    Usually used in combination with flatten.
    source

    # GeometryOps.rebuild — Function. 
    julia
    rebuild(geom, child_geoms)
    Rebuild a geometry from child geometries.
    By default geometries will be rebuilt as a GeoInterface.Wrappers geometry, but rebuild can have methods added to it to dispatch on geometries from other packages and specify how to rebuild them.
    (Maybe it should go into GeoInterface.jl)
    source

    Types ​
    Missing docstring.
    Missing docstring for TraitTarget. Check Documenter's build log for details.
    Implementation ​
    julia
    const THREADED_KEYWORD = "- \`threaded\`: \`true\` or \`false\`. Whether to use multithreading. Defaults to \`false\`."
diff --git a/previews/PR182/assets/source_primitives.md.wZKzKWWl.lean.js b/previews/PR182/assets/source_primitives.md.Bi9iHLSx.lean.js
similarity index 70%
rename from previews/PR182/assets/source_primitives.md.wZKzKWWl.lean.js
rename to previews/PR182/assets/source_primitives.md.Bi9iHLSx.lean.js
index f28ffe498..ed0c3cfc7 100644
--- a/previews/PR182/assets/source_primitives.md.wZKzKWWl.lean.js
+++ b/previews/PR182/assets/source_primitives.md.Bi9iHLSx.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.rRrq4bmo.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t("",194),e=[h];function l(p,k,r,d,g,E){return a(),i("div",null,e)}const c=s(n,[["render",l]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.EaXv-vOb.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t("",194),e=[h];function l(p,k,r,d,g,E){return a(),i("div",null,e)}const c=s(n,[["render",l]]);export{o as __pageData,c as default};
diff --git a/previews/PR182/assets/source_transformations_correction_closed_ring.md.DbZKgaCr.js b/previews/PR182/assets/source_transformations_correction_closed_ring.md.LUeFx-5k.js
similarity index 99%
rename from previews/PR182/assets/source_transformations_correction_closed_ring.md.DbZKgaCr.js
rename to previews/PR182/assets/source_transformations_correction_closed_ring.md.LUeFx-5k.js
index 02016be66..05bc3f26c 100644
--- a/previews/PR182/assets/source_transformations_correction_closed_ring.md.DbZKgaCr.js
+++ b/previews/PR182/assets/source_transformations_correction_closed_ring.md.LUeFx-5k.js
@@ -1,4 +1,4 @@
-import{_ as t,c as i,j as s,a,a7 as e,o as n}from"./chunks/framework.rRrq4bmo.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e(`
    Closed Rings ​
    julia
    export ClosedRing
    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.
    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.
    Example ​
    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!
    For example, the following polygon is not valid:
    julia
    import GeoInterface as GI
+import{_ as t,c as i,j as s,a,a7 as e,o as n}from"./chunks/framework.EaXv-vOb.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e(`
    Closed Rings ​
    julia
    export ClosedRing
    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.
    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.
    Example ​
    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!
    For example, the following polygon is not valid:
    julia
    import GeoInterface as GI
 polygon = GI.Polygon([[(0, 0), (1, 0), (1, 1), (0, 1)]])
    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)
    even though it will look correct when visualized, and indeed appears correct.
    julia
    import GeometryOps as GO
 GO.fix(polygon, corrections = [GO.ClosedRing()])
    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)
    `,12),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=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("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),o=[r],d=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={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"},E=e('',1),y=[E],u=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])],-1),F=e(`
    Implementation ​
    julia
    """
     ClosedRing() <: GeometryCorrection
diff --git a/previews/PR182/assets/source_transformations_correction_closed_ring.md.DbZKgaCr.lean.js b/previews/PR182/assets/source_transformations_correction_closed_ring.md.LUeFx-5k.lean.js
similarity index 97%
rename from previews/PR182/assets/source_transformations_correction_closed_ring.md.DbZKgaCr.lean.js
rename to previews/PR182/assets/source_transformations_correction_closed_ring.md.LUeFx-5k.lean.js
index 0e95b8a61..2e08e0cc1 100644
--- a/previews/PR182/assets/source_transformations_correction_closed_ring.md.DbZKgaCr.lean.js
+++ b/previews/PR182/assets/source_transformations_correction_closed_ring.md.LUeFx-5k.lean.js
@@ -1 +1 @@
-import{_ as t,c as i,j as s,a,a7 as e,o as n}from"./chunks/framework.rRrq4bmo.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e("",12),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=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("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),o=[r],d=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={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"},E=e("",1),y=[E],u=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])],-1),F=e("",12);function m(C,_,v,T,b,f){return n(),i("div",null,[h,s("p",null,[a("You can see that the last point of the ring here is equal to the first point. For a polygon with "),s("mjx-container",p,[(n(),i("svg",k,o)),d]),a(" sides, there should be "),s("mjx-container",g,[(n(),i("svg",c,y)),u]),a(" vertices.")]),F])}const A=t(l,[["render",m]]);export{Q as __pageData,A as default};
+import{_ as t,c as i,j as s,a,a7 as e,o as n}from"./chunks/framework.EaXv-vOb.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e("",12),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=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("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),o=[r],d=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={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"},E=e("",1),y=[E],u=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])],-1),F=e("",12);function m(C,_,v,T,b,f){return n(),i("div",null,[h,s("p",null,[a("You can see that the last point of the ring here is equal to the first point. For a polygon with "),s("mjx-container",p,[(n(),i("svg",k,o)),d]),a(" sides, there should be "),s("mjx-container",g,[(n(),i("svg",c,y)),u]),a(" vertices.")]),F])}const A=t(l,[["render",m]]);export{Q as __pageData,A as default};
diff --git a/previews/PR182/assets/source_transformations_correction_geometry_correction.md.MPjNHvIV.js b/previews/PR182/assets/source_transformations_correction_geometry_correction.md.DzNPlEbB.js
similarity index 99%
rename from previews/PR182/assets/source_transformations_correction_geometry_correction.md.MPjNHvIV.js
rename to previews/PR182/assets/source_transformations_correction_geometry_correction.md.DzNPlEbB.js
index c4e0e8795..8848cc155 100644
--- a/previews/PR182/assets/source_transformations_correction_geometry_correction.md.MPjNHvIV.js
+++ b/previews/PR182/assets/source_transformations_correction_geometry_correction.md.DzNPlEbB.js
@@ -1,4 +1,4 @@
-import{_ as i,c as s,o as e,a7 as t}from"./chunks/framework.rRrq4bmo.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}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t(`
    Geometry Corrections ​
    julia
    export fix
    This file simply defines the GeometryCorrection abstract type, and the interface that any GeometryCorrection must implement.
    A geometry correction is a transformation that is applied to a geometry to correct it in some way.
    For example, a ClosedRing correction might be applied to a Polygon to ensure that its exterior ring is closed.
    Interface ​
    All GeometryCorrections 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).
    See below for the full interface specification.
    # GeometryOps.GeometryCorrection — Type. 
    julia
    abstract type GeometryCorrection
    This abstract type represents a geometry correction.
    Interface
    Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
    source

    Any geometry correction must implement the interface as given above.
    julia
    """
+import{_ as i,c as s,o as e,a7 as t}from"./chunks/framework.EaXv-vOb.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}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t(`
    Geometry Corrections ​
    julia
    export fix
    This file simply defines the GeometryCorrection abstract type, and the interface that any GeometryCorrection must implement.
    A geometry correction is a transformation that is applied to a geometry to correct it in some way.
    For example, a ClosedRing correction might be applied to a Polygon to ensure that its exterior ring is closed.
    Interface ​
    All GeometryCorrections 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).
    See below for the full interface specification.
    # GeometryOps.GeometryCorrection — Type. 
    julia
    abstract type GeometryCorrection
    This abstract type represents a geometry correction.
    Interface
    Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
    source

    Any geometry correction must implement the interface as given above.
    julia
    """
     abstract type GeometryCorrection
 
 This abstract type represents a geometry correction.
diff --git a/previews/PR182/assets/source_transformations_correction_geometry_correction.md.MPjNHvIV.lean.js b/previews/PR182/assets/source_transformations_correction_geometry_correction.md.DzNPlEbB.lean.js
similarity index 76%
rename from previews/PR182/assets/source_transformations_correction_geometry_correction.md.MPjNHvIV.lean.js
rename to previews/PR182/assets/source_transformations_correction_geometry_correction.md.DzNPlEbB.lean.js
index 1e48b983e..4ae895701 100644
--- a/previews/PR182/assets/source_transformations_correction_geometry_correction.md.MPjNHvIV.lean.js
+++ b/previews/PR182/assets/source_transformations_correction_geometry_correction.md.DzNPlEbB.lean.js
@@ -1 +1 @@
-import{_ as i,c as s,o as e,a7 as t}from"./chunks/framework.rRrq4bmo.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}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t("",23),r=[n];function o(l,p,h,c,k,d){return e(),s("div",null,r)}const m=i(a,[["render",o]]);export{g as __pageData,m as default};
+import{_ as i,c as s,o as e,a7 as t}from"./chunks/framework.EaXv-vOb.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}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t("",23),r=[n];function o(l,p,h,c,k,d){return e(),s("div",null,r)}const m=i(a,[["render",o]]);export{g as __pageData,m as default};
diff --git a/previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.DLmLgkNT.js b/previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.Dssk2jzj.js
similarity index 99%
rename from previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.DLmLgkNT.js
rename to previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.Dssk2jzj.js
index e8039dfa4..da02394cb 100644
--- a/previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.DLmLgkNT.js
+++ b/previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.Dssk2jzj.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n(`
    Intersecting Polygons ​
    julia
    export UnionIntersectingPolygons
    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.
    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 UnionIntersectingPolygons correction.
    The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon's that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.
    Example ​
    Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.
    For example, the following multipolygon is not valid:
    julia
    import GeoInterface as GI
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n(`
    Intersecting Polygons ​
    julia
    export UnionIntersectingPolygons
    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.
    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 UnionIntersectingPolygons correction.
    The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon's that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.
    Example ​
    Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.
    For example, the following multipolygon is not valid:
    julia
    import GeoInterface as GI
 polygon = GI.Polygon([[(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)]])
 multipolygon = GI.MultiPolygon([polygon, polygon])
    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)
    given that the two sub-polygons are the exact same shape.
    julia
    import GeometryOps as GO
 GO.fix(multipolygon, corrections = [GO.UnionIntersectingPolygons()])
    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)
    You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.
    Implementation ​
    julia
    """
diff --git a/previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.DLmLgkNT.lean.js b/previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.Dssk2jzj.lean.js
similarity index 76%
rename from previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.DLmLgkNT.lean.js
rename to previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.Dssk2jzj.lean.js
index 6d767ad9b..99a8756dd 100644
--- a/previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.DLmLgkNT.lean.js
+++ b/previews/PR182/assets/source_transformations_correction_intersecting_polygons.md.Dssk2jzj.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n("",22),h=[t];function p(e,k,r,g,o,E){return a(),i("div",null,h)}const c=s(l,[["render",p]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n("",22),h=[t];function p(e,k,r,g,o,E){return a(),i("div",null,h)}const c=s(l,[["render",p]]);export{y as __pageData,c as default};
diff --git a/previews/PR182/assets/source_transformations_extent.md.CC__w4VH.js b/previews/PR182/assets/source_transformations_extent.md.Dk5qaMvU.js
similarity index 95%
rename from previews/PR182/assets/source_transformations_extent.md.CC__w4VH.js
rename to previews/PR182/assets/source_transformations_extent.md.Dk5qaMvU.js
index df9f4fc80..b7668d8b1 100644
--- a/previews/PR182/assets/source_transformations_extent.md.CC__w4VH.js
+++ b/previews/PR182/assets/source_transformations_extent.md.Dk5qaMvU.js
@@ -1,4 +1,4 @@
-import{_ as s,c as e,o as a,a7 as t}from"./chunks/framework.rRrq4bmo.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t(`
    Extent embedding ​
    julia
    """
+import{_ as s,c as e,o as a,a7 as t}from"./chunks/framework.EaXv-vOb.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t(`
    Extent embedding ​
    julia
    """
     embed_extent(obj)
 
 Recursively wrap the object with a GeoInterface.jl geometry,
diff --git a/previews/PR182/assets/source_transformations_extent.md.CC__w4VH.lean.js b/previews/PR182/assets/source_transformations_extent.md.Dk5qaMvU.lean.js
similarity index 72%
rename from previews/PR182/assets/source_transformations_extent.md.CC__w4VH.lean.js
rename to previews/PR182/assets/source_transformations_extent.md.Dk5qaMvU.lean.js
index 6578988a6..74e9ebefc 100644
--- a/previews/PR182/assets/source_transformations_extent.md.CC__w4VH.lean.js
+++ b/previews/PR182/assets/source_transformations_extent.md.Dk5qaMvU.lean.js
@@ -1 +1 @@
-import{_ as s,c as e,o as a,a7 as t}from"./chunks/framework.rRrq4bmo.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t("",6),l=[i];function p(r,h,d,o,c,k){return a(),e("div",null,l)}const m=s(n,[["render",p]]);export{u as __pageData,m as default};
+import{_ as s,c as e,o as a,a7 as t}from"./chunks/framework.EaXv-vOb.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t("",6),l=[i];function p(r,h,d,o,c,k){return a(),e("div",null,l)}const m=s(n,[["render",p]]);export{u as __pageData,m as default};
diff --git a/previews/PR182/assets/source_transformations_flip.md.BpUEm-KN.js b/previews/PR182/assets/source_transformations_flip.md.BbK3Jvzb.js
similarity index 97%
rename from previews/PR182/assets/source_transformations_flip.md.BpUEm-KN.js
rename to previews/PR182/assets/source_transformations_flip.md.BbK3Jvzb.js
index 08ddcb320..8e2d9566f 100644
--- a/previews/PR182/assets/source_transformations_flip.md.BpUEm-KN.js
+++ b/previews/PR182/assets/source_transformations_flip.md.BbK3Jvzb.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n(`
    Coordinate flipping ​
    This is a simple example of how to use the apply functionality in a function, by flipping the x and y coordinates of a geometry.
    julia
    """
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n(`
    Coordinate flipping ​
    This is a simple example of how to use the apply functionality in a function, by flipping the x and y coordinates of a geometry.
    julia
    """
     flip(obj)
 
 Swap all of the x and y coordinates in obj, otherwise
diff --git a/previews/PR182/assets/source_transformations_flip.md.BpUEm-KN.lean.js b/previews/PR182/assets/source_transformations_flip.md.BbK3Jvzb.lean.js
similarity index 72%
rename from previews/PR182/assets/source_transformations_flip.md.BpUEm-KN.lean.js
rename to previews/PR182/assets/source_transformations_flip.md.BbK3Jvzb.lean.js
index 4121b1000..52ca0224e 100644
--- a/previews/PR182/assets/source_transformations_flip.md.BpUEm-KN.lean.js
+++ b/previews/PR182/assets/source_transformations_flip.md.BbK3Jvzb.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n("",5),l=[t];function h(e,k,r,d,o,g){return a(),i("div",null,l)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n("",5),l=[t];function h(e,k,r,d,o,g){return a(),i("div",null,l)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
diff --git a/previews/PR182/assets/source_transformations_reproject.md.BqYHliDG.js b/previews/PR182/assets/source_transformations_reproject.md.BKTVcxky.js
similarity index 98%
rename from previews/PR182/assets/source_transformations_reproject.md.BqYHliDG.js
rename to previews/PR182/assets/source_transformations_reproject.md.BKTVcxky.js
index 81fa7c9ee..bfcfb3739 100644
--- a/previews/PR182/assets/source_transformations_reproject.md.BqYHliDG.js
+++ b/previews/PR182/assets/source_transformations_reproject.md.BKTVcxky.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e('
    Geometry reprojection ​
    julia
    export reproject
    This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the Proj package for the transformation, but this could be moved to an extension if needed.
    Note that the actual implementation is in the GeometryOpsProjExt extension module.
    This works using the apply functionality.
    julia
    """\n    reproject(geometry; source_crs, target_crs, transform, always_xy, time)\n    reproject(geometry, source_crs, target_crs; always_xy, time)\n    reproject(geometry, transform; always_xy, time)\n\nReproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.\n\nThe returned object will be constructed from `GeoInterface.WrapperGeometry`\ngeometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.\n\n!!! tip\n    The `Proj.jl` package must be loaded for this method to work,\n    since it is implemented in a package extension.\n\n# Arguments\n\n- `geometry`: Any GeoInterface.jl compatible geometries.\n- `source_crs`: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.\n- `target_crs`: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.\n\nIf these a passed as keywords, `transform` will take priority.\nWithout it `target_crs` is always needed, and `source_crs` is\nneeded if it is not retrievable from the geometry with `GeoInterface.crs(geometry)`.\n\n# Keywords\n\n- `always_xy`: force x, y coordinate order, `true` by default.\n    `false` will expect and return points in the crs coordinate order.\n- `time`: the time for the coordinates. `Inf` by default.\n$APPLY_KEYWORDS\n"""\nfunction reproject end
    Method error handling ​
    We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.
    julia
    function _reproject_error_hinter(io, exc, argtypes, kwargs)\n    if isnothing(Base.get_extension(GeometryOps, :GeometryOpsProjExt)) && exc.f == reproject\n        print(io, "\\n\\nThe `reproject` method requires the Proj.jl package to be explicitly loaded.\\n")\n        print(io, "You can do this by simply typing ")\n        printstyled(io, "using Proj"; color = :cyan, bold = true)\n        println(io, " in your REPL, \\nor otherwise loading Proj.jl via using or import.")\n    else # this is a more general error\n        nothing\n    end\nend
    This page was generated using Literate.jl.
    ',11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e('
    Geometry reprojection ​
    julia
    export reproject
    This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the Proj package for the transformation, but this could be moved to an extension if needed.
    Note that the actual implementation is in the GeometryOpsProjExt extension module.
    This works using the apply functionality.
    julia
    """\n    reproject(geometry; source_crs, target_crs, transform, always_xy, time)\n    reproject(geometry, source_crs, target_crs; always_xy, time)\n    reproject(geometry, transform; always_xy, time)\n\nReproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.\n\nThe returned object will be constructed from `GeoInterface.WrapperGeometry`\ngeometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.\n\n!!! tip\n    The `Proj.jl` package must be loaded for this method to work,\n    since it is implemented in a package extension.\n\n# Arguments\n\n- `geometry`: Any GeoInterface.jl compatible geometries.\n- `source_crs`: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.\n- `target_crs`: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.\n\nIf these a passed as keywords, `transform` will take priority.\nWithout it `target_crs` is always needed, and `source_crs` is\nneeded if it is not retrievable from the geometry with `GeoInterface.crs(geometry)`.\n\n# Keywords\n\n- `always_xy`: force x, y coordinate order, `true` by default.\n    `false` will expect and return points in the crs coordinate order.\n- `time`: the time for the coordinates. `Inf` by default.\n$APPLY_KEYWORDS\n"""\nfunction reproject end
    Method error handling ​
    We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.
    julia
    function _reproject_error_hinter(io, exc, argtypes, kwargs)\n    if isnothing(Base.get_extension(GeometryOps, :GeometryOpsProjExt)) && exc.f == reproject\n        print(io, "\\n\\nThe `reproject` method requires the Proj.jl package to be explicitly loaded.\\n")\n        print(io, "You can do this by simply typing ")\n        printstyled(io, "using Proj"; color = :cyan, bold = true)\n        println(io, " in your REPL, \\nor otherwise loading Proj.jl via using or import.")\n    else # this is a more general error\n        nothing\n    end\nend
    This page was generated using Literate.jl.
    ',11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
diff --git a/previews/PR182/assets/source_transformations_reproject.md.BqYHliDG.lean.js b/previews/PR182/assets/source_transformations_reproject.md.BKTVcxky.lean.js
similarity index 73%
rename from previews/PR182/assets/source_transformations_reproject.md.BqYHliDG.lean.js
rename to previews/PR182/assets/source_transformations_reproject.md.BKTVcxky.lean.js
index 3bc802194..ed66dbe3c 100644
--- a/previews/PR182/assets/source_transformations_reproject.md.BqYHliDG.lean.js
+++ b/previews/PR182/assets/source_transformations_reproject.md.BKTVcxky.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e("",11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e("",11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
diff --git a/previews/PR182/assets/source_transformations_segmentize.md.Sn-gNkMw.js b/previews/PR182/assets/source_transformations_segmentize.md.DJfFwr95.js
similarity index 98%
rename from previews/PR182/assets/source_transformations_segmentize.md.Sn-gNkMw.js
rename to previews/PR182/assets/source_transformations_segmentize.md.DJfFwr95.js
index 1971c3ddf..c6a420930 100644
--- a/previews/PR182/assets/source_transformations_segmentize.md.Sn-gNkMw.js
+++ b/previews/PR182/assets/source_transformations_segmentize.md.DJfFwr95.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/jdoicik.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR182/assets/mqkvjnj.DogsVnS6.png",c=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"},l=n(`
    Segmentize ​
    julia
    export segmentize
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/zdatzsd.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR182/assets/ocbjgpx.DW-Qq111.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),l={name:"source/transformations/segmentize.md"},e=n(`
    Segmentize ​
    julia
    export segmentize
 export LinearSegments, GeodesicSegments
    This function "segmentizes" or "densifies" 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 "coarse" for a given application.
    Info
    We plan to add interpolated segmentization from DataInterpolations.jl in the future, which will be available to any vector of point-like objects.
    For now, this function only works on 2D geometries. We will also support 3D geometries, as well as measure interpolation, in the future.
    Examples ​
    julia
    import GeometryOps as GO, GeoInterface as GI
 rectangle = GI.Wrappers.Polygon([[(0.0, 50.0), (7.071, 57.07), (0, 64.14), (-7.07, 57.07), (0.0, 50.0)]])
 linear = GO.segmentize(rectangle; max_distance = 5)
@@ -126,7 +126,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h
 This is a method which performs the common functionality for both linear and geodesic algorithms,
 and calls out to the "kernel" function which we've defined per linesegment.
 =#
-function _segmentize(method::Union{LinearSegments, GeodesicSegments}, geom, T::Union{GI.LineStringTrait, GI.LinearRingTrait})
+function _segmentize(method::SegmentizeMethod, geom, T::Union{GI.LineStringTrait, GI.LinearRingTrait})
     first_coord = GI.getpoint(geom, 1)
     x1, y1 = GI.x(first_coord), GI.y(first_coord)
     new_coords = NTuple{2, Float64}[]
@@ -151,4 +151,4 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h
         end
     end
    End the line with the original coordinate, to avoid any multiplication errors.
    julia
        push!(new_coords, (x2, y2))
     return nothing
-end
    Note
    The _fill_linear_kernel definition for GeodesicSegments is in the GeometryOpsProjExt extension module, in the segmentize.jl file.
    This page was generated using Literate.jl.
    `,34),k=[l];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(e,[["render",p]]);export{c as __pageData,C as default};
+end
    Note
    The _fill_linear_kernel definition for GeodesicSegments is in the GeometryOpsProjExt extension module, in the segmentize.jl file.
    This page was generated using Literate.jl.
    `,34),k=[e];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(l,[["render",p]]);export{c as __pageData,C as default};
diff --git a/previews/PR182/assets/source_transformations_segmentize.md.DJfFwr95.lean.js b/previews/PR182/assets/source_transformations_segmentize.md.DJfFwr95.lean.js
new file mode 100644
index 000000000..f6c77beae
--- /dev/null
+++ b/previews/PR182/assets/source_transformations_segmentize.md.DJfFwr95.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/zdatzsd.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR182/assets/ocbjgpx.DW-Qq111.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),l={name:"source/transformations/segmentize.md"},e=n("",34),k=[e];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(l,[["render",p]]);export{c as __pageData,C as default};
diff --git a/previews/PR182/assets/source_transformations_segmentize.md.Sn-gNkMw.lean.js b/previews/PR182/assets/source_transformations_segmentize.md.Sn-gNkMw.lean.js
deleted file mode 100644
index 92726e801..000000000
--- a/previews/PR182/assets/source_transformations_segmentize.md.Sn-gNkMw.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/jdoicik.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR182/assets/mqkvjnj.DogsVnS6.png",c=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"},l=n("",34),k=[l];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(e,[["render",p]]);export{c as __pageData,C as default};
diff --git a/previews/PR182/assets/source_transformations_simplify.md.iqM6IKRm.js b/previews/PR182/assets/source_transformations_simplify.md.CInEiILl.js
similarity index 99%
rename from previews/PR182/assets/source_transformations_simplify.md.iqM6IKRm.js
rename to previews/PR182/assets/source_transformations_simplify.md.CInEiILl.js
index 232c44ad4..ac6e8c971 100644
--- a/previews/PR182/assets/source_transformations_simplify.md.iqM6IKRm.js
+++ b/previews/PR182/assets/source_transformations_simplify.md.CInEiILl.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/ybpjaji.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR182/assets/yrwpavb.B94PsR1K.png",k="/GeometryOps.jl/previews/PR182/assets/oyixmjz.C6rDgHxI.png",t="/GeometryOps.jl/previews/PR182/assets/nfwfhfn.C3vkC3rs.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n(`
    Geometry simplification ​
    This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
    The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
    Examples ​
    A quick and dirty example is:
    julia
    using Makie, GeoInterfaceMakie
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/cfcvdhw.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR182/assets/eyalncx.B94PsR1K.png",k="/GeometryOps.jl/previews/PR182/assets/bormpmy.C_ebz1po.png",t="/GeometryOps.jl/previews/PR182/assets/oonxpsn.BYs4EaIM.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n(`
    Geometry simplification ​
    This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
    The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
    Examples ​
    A quick and dirty example is:
    julia
    using Makie, GeoInterfaceMakie
 import GeoInterface as GI
 import GeometryOps as GO
 
diff --git a/previews/PR182/assets/source_transformations_simplify.md.CInEiILl.lean.js b/previews/PR182/assets/source_transformations_simplify.md.CInEiILl.lean.js
new file mode 100644
index 000000000..12293b1d2
--- /dev/null
+++ b/previews/PR182/assets/source_transformations_simplify.md.CInEiILl.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/cfcvdhw.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR182/assets/eyalncx.B94PsR1K.png",k="/GeometryOps.jl/previews/PR182/assets/bormpmy.C_ebz1po.png",t="/GeometryOps.jl/previews/PR182/assets/oonxpsn.BYs4EaIM.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n("",71),E=[e];function r(d,g,y,F,o,c){return a(),i("div",null,E)}const D=s(p,[["render",r]]);export{u as __pageData,D as default};
diff --git a/previews/PR182/assets/source_transformations_simplify.md.iqM6IKRm.lean.js b/previews/PR182/assets/source_transformations_simplify.md.iqM6IKRm.lean.js
deleted file mode 100644
index 376c7d460..000000000
--- a/previews/PR182/assets/source_transformations_simplify.md.iqM6IKRm.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/ybpjaji.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR182/assets/yrwpavb.B94PsR1K.png",k="/GeometryOps.jl/previews/PR182/assets/oyixmjz.C6rDgHxI.png",t="/GeometryOps.jl/previews/PR182/assets/nfwfhfn.C3vkC3rs.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n("",71),E=[e];function r(d,g,y,F,o,c){return a(),i("div",null,E)}const D=s(p,[["render",r]]);export{u as __pageData,D as default};
diff --git a/previews/PR182/assets/source_transformations_transform.md.CFuVmnzH.js b/previews/PR182/assets/source_transformations_transform.md.tyPjdZpi.js
similarity index 98%
rename from previews/PR182/assets/source_transformations_transform.md.CFuVmnzH.js
rename to previews/PR182/assets/source_transformations_transform.md.tyPjdZpi.js
index 10fe5f6b4..109a1778c 100644
--- a/previews/PR182/assets/source_transformations_transform.md.CFuVmnzH.js
+++ b/previews/PR182/assets/source_transformations_transform.md.tyPjdZpi.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n(`
    Pointwise transformation ​
    julia
    """
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n(`
    Pointwise transformation ​
    julia
    """
     transform(f, obj)
 
 Apply a function \`f\` to all the points in \`obj\`.
diff --git a/previews/PR182/assets/source_transformations_transform.md.CFuVmnzH.lean.js b/previews/PR182/assets/source_transformations_transform.md.tyPjdZpi.lean.js
similarity index 73%
rename from previews/PR182/assets/source_transformations_transform.md.CFuVmnzH.lean.js
rename to previews/PR182/assets/source_transformations_transform.md.tyPjdZpi.lean.js
index 6e82e34ed..f205aa8f0 100644
--- a/previews/PR182/assets/source_transformations_transform.md.CFuVmnzH.lean.js
+++ b/previews/PR182/assets/source_transformations_transform.md.tyPjdZpi.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n("",4),e=[l];function p(h,r,k,o,g,F){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{d as __pageData,y as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n("",4),e=[l];function p(h,r,k,o,g,F){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{d as __pageData,y as default};
diff --git a/previews/PR182/assets/source_transformations_tuples.md.7zrIlqnD.js b/previews/PR182/assets/source_transformations_tuples.md.CqKLddbs.js
similarity index 96%
rename from previews/PR182/assets/source_transformations_tuples.md.7zrIlqnD.js
rename to previews/PR182/assets/source_transformations_tuples.md.CqKLddbs.js
index 3ef94113d..f4974bc07 100644
--- a/previews/PR182/assets/source_transformations_tuples.md.7zrIlqnD.js
+++ b/previews/PR182/assets/source_transformations_tuples.md.CqKLddbs.js
@@ -1,4 +1,4 @@
-import{_ as s,c as a,o as n,a7 as i}from"./chunks/framework.rRrq4bmo.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i(`
    Tuple conversion ​
    julia
    """
+import{_ as s,c as a,o as n,a7 as i}from"./chunks/framework.EaXv-vOb.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i(`
    Tuple conversion ​
    julia
    """
     tuples(obj)
 
 Convert all points in \`obj\` to \`Tuple\`s, wherever the are nested.
diff --git a/previews/PR182/assets/source_transformations_tuples.md.7zrIlqnD.lean.js b/previews/PR182/assets/source_transformations_tuples.md.CqKLddbs.lean.js
similarity index 72%
rename from previews/PR182/assets/source_transformations_tuples.md.7zrIlqnD.lean.js
rename to previews/PR182/assets/source_transformations_tuples.md.CqKLddbs.lean.js
index b68a872fc..df530ba5e 100644
--- a/previews/PR182/assets/source_transformations_tuples.md.7zrIlqnD.lean.js
+++ b/previews/PR182/assets/source_transformations_tuples.md.CqKLddbs.lean.js
@@ -1 +1 @@
-import{_ as s,c as a,o as n,a7 as i}from"./chunks/framework.rRrq4bmo.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i("",6),p=[t];function l(o,r,h,c,k,d){return n(),a("div",null,p)}const g=s(e,[["render",l]]);export{u as __pageData,g as default};
+import{_ as s,c as a,o as n,a7 as i}from"./chunks/framework.EaXv-vOb.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i("",6),p=[t];function l(o,r,h,c,k,d){return n(),a("div",null,p)}const g=s(e,[["render",l]]);export{u as __pageData,g as default};
diff --git a/previews/PR182/assets/source_types.md.jFFcQTvO.js b/previews/PR182/assets/source_types.md.CYruvSHj.js
similarity index 99%
rename from previews/PR182/assets/source_types.md.jFFcQTvO.js
rename to previews/PR182/assets/source_types.md.CYruvSHj.js
index 628682846..89b4bb5f9 100644
--- a/previews/PR182/assets/source_types.md.jFFcQTvO.js
+++ b/previews/PR182/assets/source_types.md.CYruvSHj.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n(`
    Types ​
    This file defines some fundamental types used in GeometryOps.
    Warning
    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.
    julia
    export TraitTarget, GEOS
    TraitTarget ​
    This struct holds a trait parameter or a union of trait parameters. It's essentially a way to construct unions.
    julia
    """
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n(`
    Types ​
    This file defines some fundamental types used in GeometryOps.
    Warning
    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.
    julia
    export TraitTarget, GEOS
    TraitTarget ​
    This struct holds a trait parameter or a union of trait parameters. It's essentially a way to construct unions.
    julia
    """
     TraitTarget{T}
 
 This struct holds a trait parameter or a union of trait parameters.
diff --git a/previews/PR182/assets/source_types.md.jFFcQTvO.lean.js b/previews/PR182/assets/source_types.md.CYruvSHj.lean.js
similarity index 68%
rename from previews/PR182/assets/source_types.md.jFFcQTvO.lean.js
rename to previews/PR182/assets/source_types.md.CYruvSHj.lean.js
index 60f60b5c6..1aad92636 100644
--- a/previews/PR182/assets/source_types.md.jFFcQTvO.lean.js
+++ b/previews/PR182/assets/source_types.md.CYruvSHj.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n("",27),l=[e];function p(h,k,r,d,o,g){return a(),i("div",null,l)}const E=s(t,[["render",p]]);export{y as __pageData,E as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n("",27),l=[e];function p(h,k,r,d,o,g){return a(),i("div",null,l)}const E=s(t,[["render",p]]);export{y as __pageData,E as default};
diff --git a/previews/PR182/assets/source_utils.md.CRjiDuZk.js b/previews/PR182/assets/source_utils.md.CZpUd1wr.js
similarity index 99%
rename from previews/PR182/assets/source_utils.md.CRjiDuZk.js
rename to previews/PR182/assets/source_utils.md.CZpUd1wr.js
index ea4f5bd7e..fd04e981a 100644
--- a/previews/PR182/assets/source_utils.md.CRjiDuZk.js
+++ b/previews/PR182/assets/source_utils.md.CZpUd1wr.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n(`
    Utility functions ​
    julia
    _is3d(geom)::Bool = _is3d(GI.trait(geom), geom)
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n(`
    Utility functions ​
    julia
    _is3d(geom)::Bool = _is3d(GI.trait(geom), geom)
 _is3d(::GI.AbstractGeometryTrait, geom)::Bool = GI.is3d(geom)
 _is3d(::GI.FeatureTrait, feature)::Bool = _is3d(GI.geometry(feature))
 _is3d(::GI.FeatureCollectionTrait, fc)::Bool = _is3d(GI.getfeature(fc, 1))
diff --git a/previews/PR182/assets/source_utils.md.CRjiDuZk.lean.js b/previews/PR182/assets/source_utils.md.CZpUd1wr.lean.js
similarity index 69%
rename from previews/PR182/assets/source_utils.md.CRjiDuZk.lean.js
rename to previews/PR182/assets/source_utils.md.CZpUd1wr.lean.js
index ddd41a02c..e10940acc 100644
--- a/previews/PR182/assets/source_utils.md.CRjiDuZk.lean.js
+++ b/previews/PR182/assets/source_utils.md.CZpUd1wr.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n("",8),l=[p];function h(k,e,r,F,g,d){return a(),i("div",null,l)}const o=s(t,[["render",h]]);export{y as __pageData,o as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n("",8),l=[p];function h(k,e,r,F,g,d){return a(),i("div",null,l)}const o=s(t,[["render",h]]);export{y as __pageData,o as default};
diff --git a/previews/PR182/assets/tutorials_creating_geometry.md.CM271bxE.lean.js b/previews/PR182/assets/tutorials_creating_geometry.md.CM271bxE.lean.js
deleted file mode 100644
index a7dcf93f0..000000000
--- a/previews/PR182/assets/tutorials_creating_geometry.md.CM271bxE.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.rRrq4bmo.js";const t="/GeometryOps.jl/previews/PR182/assets/knahdfj.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR182/assets/cirlgwc.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR182/assets/effgnzr.0OJvb21A.png",p="/GeometryOps.jl/previews/PR182/assets/iegpvcq.DaovVbE6.png",h="/GeometryOps.jl/previews/PR182/assets/hpueecu.B9NpLJr_.png",o="/GeometryOps.jl/previews/PR182/assets/hvsxick.CG4dr3Lx.png",k="/GeometryOps.jl/previews/PR182/assets/brnosny.3sfpQl2i.png",r="/GeometryOps.jl/previews/PR182/assets/tvcrvix.Dab1-ETk.png",g="/GeometryOps.jl/previews/PR182/assets/gsghjdw.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR182/assets/ppjlgqq.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR182/assets/wdsdjvr.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e("",120),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const P=s(c,[["render",u]]);export{D as __pageData,P as default};
diff --git a/previews/PR182/assets/tutorials_creating_geometry.md.CM271bxE.js b/previews/PR182/assets/tutorials_creating_geometry.md.NKUq-4w-.js
similarity index 99%
rename from previews/PR182/assets/tutorials_creating_geometry.md.CM271bxE.js
rename to previews/PR182/assets/tutorials_creating_geometry.md.NKUq-4w-.js
index d07af4b8e..2f41d823d 100644
--- a/previews/PR182/assets/tutorials_creating_geometry.md.CM271bxE.js
+++ b/previews/PR182/assets/tutorials_creating_geometry.md.NKUq-4w-.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.rRrq4bmo.js";const t="/GeometryOps.jl/previews/PR182/assets/knahdfj.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR182/assets/cirlgwc.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR182/assets/effgnzr.0OJvb21A.png",p="/GeometryOps.jl/previews/PR182/assets/iegpvcq.DaovVbE6.png",h="/GeometryOps.jl/previews/PR182/assets/hpueecu.B9NpLJr_.png",o="/GeometryOps.jl/previews/PR182/assets/hvsxick.CG4dr3Lx.png",k="/GeometryOps.jl/previews/PR182/assets/brnosny.3sfpQl2i.png",r="/GeometryOps.jl/previews/PR182/assets/tvcrvix.Dab1-ETk.png",g="/GeometryOps.jl/previews/PR182/assets/gsghjdw.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR182/assets/ppjlgqq.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR182/assets/wdsdjvr.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e(`
    Creating Geometry ​
    In this tutorial, we're going to:
    1. Create and plot geometries
    2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
    3. Create geospatial geometries with embedded coordinate reference system information
    4. Assign attributes to geospatial geometries
    5. Save geospatial geometries to common geospatial file formats
    First, we load some required packages.
    julia
    # Geospatial packages from Julia
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.EaXv-vOb.js";const t="/GeometryOps.jl/previews/PR182/assets/wiltvtc.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR182/assets/bkqbbcj.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR182/assets/oamhkif.0OJvb21A.png",p="/GeometryOps.jl/previews/PR182/assets/vzkcpxr.DaovVbE6.png",h="/GeometryOps.jl/previews/PR182/assets/wpdyvqm.B9NpLJr_.png",o="/GeometryOps.jl/previews/PR182/assets/uwdannt.CG4dr3Lx.png",k="/GeometryOps.jl/previews/PR182/assets/nkoanyw.3sfpQl2i.png",r="/GeometryOps.jl/previews/PR182/assets/dgsoomh.Dab1-ETk.png",g="/GeometryOps.jl/previews/PR182/assets/djrfzlc.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR182/assets/hbomnzm.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR182/assets/zeywere.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e(`
    Creating Geometry ​
    In this tutorial, we're going to:
    1. Create and plot geometries
    2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
    3. Create geospatial geometries with embedded coordinate reference system information
    4. Assign attributes to geospatial geometries
    5. Save geospatial geometries to common geospatial file formats
    First, we load some required packages.
    julia
    # Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
diff --git a/previews/PR182/assets/tutorials_creating_geometry.md.NKUq-4w-.lean.js b/previews/PR182/assets/tutorials_creating_geometry.md.NKUq-4w-.lean.js
new file mode 100644
index 000000000..2b7e5c530
--- /dev/null
+++ b/previews/PR182/assets/tutorials_creating_geometry.md.NKUq-4w-.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.EaXv-vOb.js";const t="/GeometryOps.jl/previews/PR182/assets/wiltvtc.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR182/assets/bkqbbcj.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR182/assets/oamhkif.0OJvb21A.png",p="/GeometryOps.jl/previews/PR182/assets/vzkcpxr.DaovVbE6.png",h="/GeometryOps.jl/previews/PR182/assets/wpdyvqm.B9NpLJr_.png",o="/GeometryOps.jl/previews/PR182/assets/uwdannt.CG4dr3Lx.png",k="/GeometryOps.jl/previews/PR182/assets/nkoanyw.3sfpQl2i.png",r="/GeometryOps.jl/previews/PR182/assets/dgsoomh.Dab1-ETk.png",g="/GeometryOps.jl/previews/PR182/assets/djrfzlc.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR182/assets/hbomnzm.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR182/assets/zeywere.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e("",120),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const P=s(c,[["render",u]]);export{D as __pageData,P as default};
diff --git a/previews/PR182/assets/tutorials_geodesic_paths.md.gnRlHWHm.js b/previews/PR182/assets/tutorials_geodesic_paths.md.CIByh2G9.js
similarity index 97%
rename from previews/PR182/assets/tutorials_geodesic_paths.md.gnRlHWHm.js
rename to previews/PR182/assets/tutorials_geodesic_paths.md.CIByh2G9.js
index a9eacf2d7..2411a20be 100644
--- a/previews/PR182/assets/tutorials_geodesic_paths.md.gnRlHWHm.js
+++ b/previews/PR182/assets/tutorials_geodesic_paths.md.CIByh2G9.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/qzkuxrh.Danh069g.png",y=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),t={name:"tutorials/geodesic_paths.md"},p=n(`
    Geodesic paths ​
    Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
    julia
    import GeometryOps as GO, GeoInterface as GI
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/wufijls.Danh069g.png",y=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),t={name:"tutorials/geodesic_paths.md"},p=n(`
    Geodesic paths ​
    Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
    julia
    import GeometryOps as GO, GeoInterface as GI
 using CairoMakie, GeoMakie
 
 
diff --git a/previews/PR182/assets/tutorials_geodesic_paths.md.gnRlHWHm.lean.js b/previews/PR182/assets/tutorials_geodesic_paths.md.CIByh2G9.lean.js
similarity index 74%
rename from previews/PR182/assets/tutorials_geodesic_paths.md.gnRlHWHm.lean.js
rename to previews/PR182/assets/tutorials_geodesic_paths.md.CIByh2G9.lean.js
index 8aa63b639..657cc623a 100644
--- a/previews/PR182/assets/tutorials_geodesic_paths.md.gnRlHWHm.lean.js
+++ b/previews/PR182/assets/tutorials_geodesic_paths.md.CIByh2G9.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const h="/GeometryOps.jl/previews/PR182/assets/qzkuxrh.Danh069g.png",y=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),t={name:"tutorials/geodesic_paths.md"},p=n("",4),k=[p];function e(l,E,d,r,g,o){return a(),i("div",null,k)}const F=s(t,[["render",e]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.EaXv-vOb.js";const h="/GeometryOps.jl/previews/PR182/assets/wufijls.Danh069g.png",y=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),t={name:"tutorials/geodesic_paths.md"},p=n("",4),k=[p];function e(l,E,d,r,g,o){return a(),i("div",null,k)}const F=s(t,[["render",e]]);export{y as __pageData,F as default};
diff --git a/previews/PR182/assets/tutorials_spatial_joins.md.RTzV_ftf.js b/previews/PR182/assets/tutorials_spatial_joins.md.MO-01jMX.js
similarity index 99%
rename from previews/PR182/assets/tutorials_spatial_joins.md.RTzV_ftf.js
rename to previews/PR182/assets/tutorials_spatial_joins.md.MO-01jMX.js
index 5eca2d2a2..593a40121 100644
--- a/previews/PR182/assets/tutorials_spatial_joins.md.RTzV_ftf.js
+++ b/previews/PR182/assets/tutorials_spatial_joins.md.MO-01jMX.js
@@ -1,4 +1,4 @@
-import{_ as h,c as a,j as s,a as i,a7 as n,o as t}from"./chunks/framework.rRrq4bmo.js";const e="/GeometryOps.jl/previews/PR182/assets/txmdium.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR182/assets/gkxigli.0fSyJM1W.png",p="/GeometryOps.jl/previews/PR182/assets/wzkoeei.Dbg0HlNh.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={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:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n('',1),y=[g],c=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n(`
    Spatial joins can be done between any geometry types (from geometrycollections to points), just as geometrical predicates can be evaluated on any geometries.
    In this tutorial, we will show how to perform a spatial join on first a toy dataset and then two Natural Earth datasets, to show how this can be used in the real world.
    In order to perform the spatial join, we use FlexiJoins.jl to perform the join, specifically using its by_pred joining method. This allows the user to specify a predicate in the following manner:
    julia
    [inner/left/right/outer/...]join((table1, table1),
+import{_ as h,c as a,j as s,a as i,a7 as n,o as t}from"./chunks/framework.EaXv-vOb.js";const e="/GeometryOps.jl/previews/PR182/assets/ohtpinb.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR182/assets/hmkbbhv.BVmjYOXJ.png",p="/GeometryOps.jl/previews/PR182/assets/mwfdcot.CfeLed6T.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={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:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n('',1),y=[g],c=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n(`
    Spatial joins can be done between any geometry types (from geometrycollections to points), just as geometrical predicates can be evaluated on any geometries.
    In this tutorial, we will show how to perform a spatial join on first a toy dataset and then two Natural Earth datasets, to show how this can be used in the real world.
    In order to perform the spatial join, we use FlexiJoins.jl to perform the join, specifically using its by_pred joining method. This allows the user to specify a predicate in the following manner:
    julia
    [inner/left/right/outer/...]join((table1, table1),
     by_pred(:table1_column, predicate_function, :table2_column) # & add other conditions here
 )
    We have enabled the use of all of GeometryOps' boolean comparisons here. These are:
    julia
    GO.contains, GO.within, GO.intersects, GO.touches, GO.crosses, GO.disjoint, GO.overlaps, GO.covers, GO.coveredby, GO.equals
    Tip
    Always place the dataframe with more complex geometries second, as that is the one which will be sorted into a tree.
    Simple example ​
    This example demonstrates how to perform a spatial join between two datasets: a set of polygons and a set of randomly generated points.
    The polygons are represented as a DataFrame with geometries and colors, while the points are stored in a separate DataFrame.
    The spatial join is performed using the contains predicate from GeometryOps, which checks if each point is contained within any of the polygons. The resulting joined DataFrame is then used to plot the points, colored according to the containing polygon.
    First, we generate our data. We create two triangle polygons which, together, span the rectangle (0, 0, 1, 1), and a set of points which are randomly distributed within this rectangle.
    julia
    import GeoInterface as GI, GeometryOps as GO
 using FlexiJoins, DataFrames
diff --git a/previews/PR182/assets/tutorials_spatial_joins.md.RTzV_ftf.lean.js b/previews/PR182/assets/tutorials_spatial_joins.md.MO-01jMX.lean.js
similarity index 89%
rename from previews/PR182/assets/tutorials_spatial_joins.md.RTzV_ftf.lean.js
rename to previews/PR182/assets/tutorials_spatial_joins.md.MO-01jMX.lean.js
index f4f321799..6f6b72566 100644
--- a/previews/PR182/assets/tutorials_spatial_joins.md.RTzV_ftf.lean.js
+++ b/previews/PR182/assets/tutorials_spatial_joins.md.MO-01jMX.lean.js
@@ -1 +1 @@
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similarity index 100%
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similarity index 100%
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diff --git a/previews/PR182/assets/jdoicik.BOOG5oTW.png b/previews/PR182/assets/zdatzsd.BOOG5oTW.png
similarity index 100%
rename from previews/PR182/assets/jdoicik.BOOG5oTW.png
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diff --git a/previews/PR182/assets/wdsdjvr.CLtpJ5Wb.png b/previews/PR182/assets/zeywere.CLtpJ5Wb.png
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diff --git a/previews/PR182/assets/ljhnlpp.CULn5saZ.png b/previews/PR182/assets/zpkbbuk.CULn5saZ.png
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rename from previews/PR182/assets/ljhnlpp.CULn5saZ.png
rename to previews/PR182/assets/zpkbbuk.CULn5saZ.png
diff --git a/previews/PR182/call_notes.html b/previews/PR182/call_notes.html
index 5765e3a59..89de215d2 100644
--- a/previews/PR182/call_notes.html
+++ b/previews/PR182/call_notes.html
@@ -8,18 +8,18 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
   
   
     
    GeometryOps.jl
    Appearance
    20th April, 2024 ​
    See GeometryOps#114.
    • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
    • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
    • [x] @skygering to write docstrings for the predicates
    29th Feb, 2024 ​
    To do ​
    • [ ] Finish clipping degeneracies
    • [ ] Fix cross & overlap functions
    • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
    • [x] profile functions for exponential improvements
    • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
    • [ ] Doc improvements
      • more
      • benchmarks page
    • Methods to validate and fix geometry
      • [ ] Polygons and LinearRings:
        • [ ] self-intersection
        • [ ] holes are actually within the polygon
        • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
        • [ ] length of all rings > 4
        • [ ] repeated last point
      • [ ] LineStrings: NaN/Inf points
      • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
    • Tests
      • [x] Simplify functions
      • [x] Polygonize
      • Barycentric tests for n_vertices > 4
    Done ​
    • Rename bools.jl to something more relevant to the actual code -> orientation.jl
    • Doc improvements:
      • organise sections
    
-    
+    
     
   
 
\ No newline at end of file
diff --git a/previews/PR182/experiments/accurate_accumulators.html b/previews/PR182/experiments/accurate_accumulators.html
index 0cd5e6afe..71a3f1175 100644
--- a/previews/PR182/experiments/accurate_accumulators.html
+++ b/previews/PR182/experiments/accurate_accumulators.html
@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
@@ -24,7 +24,7 @@
 using NaturalEarth
 
 all_adm0 = naturalearth("admin_0_countries", 10)
    • FeatureCollection with 258 Features
    julia
    GO.area(all_adm0)
    21427.909318372607
    julia
    AccurateArithmetic.sum_oro(GO.area.(all_adm0.geometry))
    21427.909318372607
    julia
    AccurateArithmetic.sum_kbn(GO.area.(all_adm0.geometry))
    21427.909318372607
    julia
    GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum
    -21427.90063612163
    julia
    GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_oro
    -21427.90063612163
    @example accurate GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_kbn ```
    +b
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diff --git a/previews/PR182/assets/aseeflb.DC3TvBOO.png b/previews/PR182/assets/qghrzbd.DC3TvBOO.png
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diff --git a/previews/PR182/assets/source_GeometryOps.md.BicEQNa0.js b/previews/PR182/assets/source_GeometryOps.md.BmRQ0DeT.js
similarity index 99%
rename from previews/PR182/assets/source_GeometryOps.md.BicEQNa0.js
rename to previews/PR182/assets/source_GeometryOps.md.BmRQ0DeT.js
index 841ff77ec..1c21c7c5f 100644
--- a/previews/PR182/assets/source_GeometryOps.md.BicEQNa0.js
+++ b/previews/PR182/assets/source_GeometryOps.md.BmRQ0DeT.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.rRrq4bmo.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n(`
    • - + \ No newline at end of file diff --git a/previews/PR182/experiments/predicates.html b/previews/PR182/experiments/predicates.html index 37032aeb7..7ce020e52 100644 --- a/previews/PR182/experiments/predicates.html +++ b/previews/PR182/experiments/predicates.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -59,7 +59,7 @@ display(fig) end resize!(fig, 1000, 450) -fig

    Dashboard ​

    julia
    using WGLMakie
+fig

    Dashboard ​

    julia
    using WGLMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
@@ -116,7 +116,7 @@
 
 GO.intersection(p1_m, p2_m; target = GI.PolygonTrait(), fix_multipoly = nothing)
 LG.intersection(p1_m, p2_m)

    Incircle ​

    - + \ No newline at end of file diff --git a/previews/PR182/explanations/crs.html b/previews/PR182/explanations/crs.html index 8e5144869..0f9940355 100644 --- a/previews/PR182/explanations/crs.html +++ b/previews/PR182/explanations/crs.html @@ -8,18 +8,18 @@ - + - - - + + +
    GeometryOps.jl

    Appearance

    - + \ No newline at end of file diff --git a/previews/PR182/explanations/paradigms.html b/previews/PR182/explanations/paradigms.html index a53638e6f..8dd6ddeea 100644 --- a/previews/PR182/explanations/paradigms.html +++ b/previews/PR182/explanations/paradigms.html @@ -8,18 +8,18 @@ - + - - - + + +
    GeometryOps.jl

    Appearance

    Paradigms ​

    GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.

    Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!

    apply ​

    The apply 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:

    julia
    apply(f, trait::Trait, geom)

    Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.

    apply 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 GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.

    apply is unlike map 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 GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.

    applyreduce ​

    applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).

    fix and prepare ​

    The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", 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.

    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 Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)

    - + \ No newline at end of file diff --git a/previews/PR182/explanations/peculiarities.html b/previews/PR182/explanations/peculiarities.html index 6bd6bd280..08de364e9 100644 --- a/previews/PR182/explanations/peculiarities.html +++ b/previews/PR182/explanations/peculiarities.html @@ -8,18 +8,18 @@ - + - - - + + +
    GeometryOps.jl

    Appearance

    Peculiarities ​

    What does apply return and why? ​

    apply returns the target geometries returned by f, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching GeoInterface.trait to the originals. All non-geointerface iterables become Arrays. Tables.jl compatible tables are converted either back to the original type if a Tables.materializer is defined, and if not then returned as generic NamedTuple column tables (i.e., a NamedTuple of vectors).

    It is recommended for consistency that f returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.

    Why do you want me to provide a target in set operations? ​

    In polygon set operations like intersection, difference, and union, 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.

    We use the target keyword to allow the user to control which kinds of geometry they want back. For example, setting target to PolygonTrait will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement MultiPolygonTrait or GeometryCollectionTrait targets which will return a single geometry, as LibGEOS and ArchGDAL do.

    This also allows for a lot more type stability - when you ask for polygons, we won't return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.

    _True and _False (or BoolsAsTypes) ​

    Warning

    These are internals and explicitly not public API, meaning they may change at any time!

    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 threaded and calc_extent in apply, 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

    - + \ No newline at end of file diff --git a/previews/PR182/explanations/winding_order.html b/previews/PR182/explanations/winding_order.html index a6abdefc8..ebb490acd 100644 --- a/previews/PR182/explanations/winding_order.html +++ b/previews/PR182/explanations/winding_order.html @@ -8,18 +8,18 @@ - + - - - + + +
    GeometryOps.jl

    Appearance

    - + \ No newline at end of file diff --git a/previews/PR182/hashmap.json b/previews/PR182/hashmap.json index 98b1a0656..ba9d40812 100644 --- a/previews/PR182/hashmap.json +++ b/previews/PR182/hashmap.json @@ -1 +1 @@ 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diff --git a/previews/PR182/index.html b/previews/PR182/index.html index f93e5ef93..ebfe4d232 100644 --- a/previews/PR182/index.html +++ b/previews/PR182/index.html @@ -8,18 +8,18 @@ - + - - - + + +
    GeometryOps.jl

    Appearance

    GeometryOps.jl

    Blazing fast geometry operations in pure Julia

    Introduction
    View on Github
    API Reference
    GeometryOps
    Julia code

    Pure Julia code

    Fast, understandable, extensible functions

    Literate programming

    Documented source code with examples!

    Full integration with GeoInterface

    Use any GeoInterface.jl-compatible geometry

    What is GeometryOps.jl? ​

    GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.

    The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.

    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.

    We welcome contributions, either as pull requests or discussion on issues!

    How to navigate the docs ​

    GeometryOps' docs are divided into three main sections: tutorials, explanations and source code.
    Documentation and examples for many functions can be found in the source code section, since we use literate programming in GeometryOps.

    • Tutorials are meant to teach the fundamental concepts behind GeometryOps, and how to perform certain operations.
    • Explanations usually contain little code, and explain in more detail how GeometryOps works.
    • Source code usually contains explanations and examples at the top of the page, followed by annotated source code from that file.
    - + \ No newline at end of file diff --git a/previews/PR182/introduction.html b/previews/PR182/introduction.html index 985708e7c..da58a6806 100644 --- a/previews/PR182/introduction.html +++ b/previews/PR182/introduction.html @@ -8,18 +8,18 @@ - + - - - + + +
    GeometryOps.jl

    Appearance

    Introduction ​

    GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.

    The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.

    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.

    We welcome contributions, either as pull requests or discussion on issues!

    Main concepts ​

    The apply paradigm ​

    Note

    See the Primitive Functions page for more information on this.

    The apply function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.

    Functionally, it's similar to map in the way you apply it to geometries.

    apply and applyreduce take any geometry, vector of geometries, collection of geometries, or table (like Shapefile.Table, DataFrame, or GeoTable)!

    What's this GeoInterface.Wrapper thing? ​

    Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.

    - + \ No newline at end of file diff --git a/previews/PR182/source/GeometryOps.html b/previews/PR182/source/GeometryOps.html index 84e1af2ff..55a9a339c 100644 --- a/previews/PR182/source/GeometryOps.html +++ b/previews/PR182/source/GeometryOps.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -92,7 +92,7 @@ end end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/angles.html b/previews/PR182/source/methods/angles.html index d53711cf0..dd18f2911 100644 --- a/previews/PR182/source/methods/angles.html +++ b/previews/PR182/source/methods/angles.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -23,7 +23,7 @@ using Makie, CairoMakie rect = GI.Polygon([[(0.0, 0.0), (0.0, 1.0), (1.0, 1.0), (1.0, 0.0), (0.0, 0.0)]]) -f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

    This is clearly a rectangle, with angles of 90 degrees.

    julia
    GO.angles(rect)  # [90, 90, 90, 90]
    4-element Vector{Float64}:
+f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

    This is clearly a rectangle, with angles of 90 degrees.

    julia
    GO.angles(rect)  # [90, 90, 90, 90]
    4-element Vector{Float64}:
  90.0
  90.0
  90.0
@@ -142,7 +142,7 @@
     angle = real(acos(val) * 180 / π)
     return angle * (cross_prod < 0 ? -1 : 1)
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/area.html b/previews/PR182/source/methods/area.html index 15a28133f..6eacd66a1 100644 --- a/previews/PR182/source/methods/area.html +++ b/previews/PR182/source/methods/area.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -24,10 +24,10 @@ using CairoMakie rect = GI.Polygon([[(0,0), (0,1), (1,1), (1,0), (0, 0)]]) -f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

    This is clearly a rectangle, etc. But now let's look at how the points look:

    julia
    lines!(
+f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

    This is clearly a rectangle, etc. But now let's look at how the points look:

    julia
    lines!(
     collect(GI.getpoint(rect));
     color = 1:GI.npoint(rect), linewidth = 10.0)
-f

    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.

    julia
    GO.signed_area(rect)  # -1.0
    -1.0

    Implementation ​

    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's a lot less work!

    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.

    Targets for applys functions

    julia
    const _AREA_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
+f

    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.

    julia
    GO.signed_area(rect)  # -1.0
    -1.0

    Implementation ​

    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's a lot less work!

    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.

    Targets for applys functions

    julia
    const _AREA_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
 
 """
     area(geom, [T = Float64])::T
@@ -105,7 +105,7 @@
     area += _area_component(p1, p2)
     return T(area / 2)
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/barycentric.html b/previews/PR182/source/methods/barycentric.html index b3d409be2..7f47eb60a 100644 --- a/previews/PR182/source/methods/barycentric.html +++ b/previews/PR182/source/methods/barycentric.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -85,7 +85,7 @@ # and render! hm = heatmap!(a2, xrange, yrange, mean_values; colormap = p1.colormap, colorrange = p1.plots[1].colorrange[], xautolimits = false, yautolimits = false) translate!(hm, 0, 0, -1) # translate the heatmap behind the cropping polygon! -f # finally, display the figure

    Barycentric-coordinate API ​

    In some cases, we actually want barycentric interpolation, and have no interest in the coordinates themselves.

    However, the coordinates can be useful for debugging, and when performing 3D rendering, multiple barycentric values (depth, uv) are needed for depth buffering.

    julia
    const _VecTypes = Union{Tuple{Vararg{T, N}}, GeometryBasics.StaticArraysCore.StaticArray{Tuple{N}, T, 1}} where {N, T}
+f # finally, display the figure

    Barycentric-coordinate API ​

    In some cases, we actually want barycentric interpolation, and have no interest in the coordinates themselves.

    However, the coordinates can be useful for debugging, and when performing 3D rendering, multiple barycentric values (depth, uv) are needed for depth buffering.

    julia
    const _VecTypes = Union{Tuple{Vararg{T, N}}, GeometryBasics.StaticArraysCore.StaticArray{Tuple{N}, T, 1}} where {N, T}
 
 """
     abstract type AbstractBarycentricCoordinateMethod
@@ -433,7 +433,7 @@
 
 struct Wachspress <: AbstractBarycentricCoordinateMethod
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/buffer.html b/previews/PR182/source/methods/buffer.html index dea375a14..1aca1663b 100644 --- a/previews/PR182/source/methods/buffer.html +++ b/previews/PR182/source/methods/buffer.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ println(io, " in your REPL, \nor otherwise loading LibGEOS.jl via using or import.") end end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/centroid.html b/previews/PR182/source/methods/centroid.html index a9c7d9a6e..f86f18878 100644 --- a/previews/PR182/source/methods/centroid.html +++ b/previews/PR182/source/methods/centroid.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -24,9 +24,9 @@ using CairoMakie cshape = GI.Polygon([[(0,0), (0,3), (3,3), (3,2), (1,2), (1,1), (3,1), (3,0), (0,0)]]) -f, a, p = poly(collect(GI.getpoint(cshape)); axis = (; aspect = DataAspect()))

    Let's see what the centroid looks like (plotted in red):

    julia
    cent = GO.centroid(cshape)
+f, a, p = poly(collect(GI.getpoint(cshape)); axis = (; aspect = DataAspect()))

    Let's see what the centroid looks like (plotted in red):

    julia
    cent = GO.centroid(cshape)
 scatter!(GI.x(cent), GI.y(cent), color = :red)
-f

    Implementation ​

    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's a lot less work!

    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.

    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.

    julia
    """
+f

    Implementation ​

    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's a lot less work!

    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.

    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.

    julia
    """
     centroid(geom, [T=Float64])::Tuple{T, T}
 
 Returns the centroid of a given line segment, linear ring, polygon, or
@@ -111,7 +111,7 @@
     y = (y1 * area1 + y2 * area2) / area
     return (x, y), area
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/clipping/clipping_processor.html b/previews/PR182/source/methods/clipping/clipping_processor.html index fada6ed4f..718ed0946 100644 --- a/previews/PR182/source/methods/clipping/clipping_processor.html +++ b/previews/PR182/source/methods/clipping/clipping_processor.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -525,7 +525,7 @@ end return end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/clipping/coverage.html b/previews/PR182/source/methods/clipping/coverage.html index abfe8bf11..51e9a926d 100644 --- a/previews/PR182/source/methods/clipping/coverage.html +++ b/previews/PR182/source/methods/clipping/coverage.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -28,7 +28,7 @@ xmin, xmax, ymin, ymax = 0, 2, 0, 2 f, a, p = poly(collect(GI.getpoint(cell)); axis = (; aspect = DataAspect())) poly!(collect(GI.getpoint(rect))) -f

    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.

    julia
    GO.coverage(rect, xmin, xmax, ymin, ymax)
    1.0

    Implementation ​

    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's a lot less work!

    Note that the coverage is zero for all points and curves, even if the curves are closed like with a linear ring.

    Targets for applys functions

    julia
    const _COVERAGE_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()

    Wall types for coverage

    julia
    const UNKNOWN, NORTH, EAST, SOUTH, WEST = 0:4
+f

    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.

    julia
    GO.coverage(rect, xmin, xmax, ymin, ymax)
    1.0

    Implementation ​

    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's a lot less work!

    Note that the coverage is zero for all points and curves, even if the curves are closed like with a linear ring.

    Targets for applys functions

    julia
    const _COVERAGE_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()

    Wall types for coverage

    julia
    const UNKNOWN, NORTH, EAST, SOUTH, WEST = 0:4
 
 """
     coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T
@@ -241,7 +241,7 @@
     y_wall = (wall == NORTH || wall == WEST) ? ymax : ymin
     return x1 * y_wall - x_wall * y1
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/clipping/cut.html b/previews/PR182/source/methods/clipping/cut.html index be0fe301c..e7a41ecf5 100644 --- a/previews/PR182/source/methods/clipping/cut.html +++ b/previews/PR182/source/methods/clipping/cut.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ f, a, p1 = Makie.poly(collect(GI.getpoint(cut_polys[1])); color = (:blue, 0.5)) Makie.poly!(collect(GI.getpoint(cut_polys[2])); color = (:orange, 0.5)) Makie.lines!(GI.getpoint(line); color = :black) -f

    Implementation ​

    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 this Stack Overflow discussion.

    julia
    """
+f

    Implementation ​

    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 this Stack Overflow discussion.

    julia
    """
     cut(geom, line, [T::Type])
 
 Return given geom cut by given line as a list of geometries of the same type as the input
@@ -105,7 +105,7 @@
     end
     return return_coords
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/clipping/difference.html b/previews/PR182/source/methods/clipping/difference.html index 45d67b97d..41c748653 100644 --- a/previews/PR182/source/methods/clipping/difference.html +++ b/previews/PR182/source/methods/clipping/difference.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -184,7 +184,7 @@ ) return nothing end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/clipping/intersection.html b/previews/PR182/source/methods/clipping/intersection.html index 01bc7fc41..d52396a39 100644 --- a/previews/PR182/source/methods/clipping/intersection.html +++ b/previews/PR182/source/methods/clipping/intersection.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -401,7 +401,7 @@ α, β = _clamped_frac(distance(min_pt, a2, T), a_dist, eps(T)), one(T) - eps(T) end

    Return point with smallest distance

    julia
        return _tuple_point(min_pt, T), α, β
 end

    Return value of x/y clamped between ϵ and 1 - ϵ

    julia
    _clamped_frac(x::T, y::T, ϵ = zero(T)) where T = clamp(x / y, ϵ, one(T) - ϵ)

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/clipping/predicates.html b/previews/PR182/source/methods/clipping/predicates.html index 6737612c1..19a4ef172 100644 --- a/previews/PR182/source/methods/clipping/predicates.html +++ b/previews/PR182/source/methods/clipping/predicates.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -62,7 +62,7 @@ end import .Predicates

    If we want to inject adaptivity, we would do something like: ​

    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

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/clipping/union.html b/previews/PR182/source/methods/clipping/union.html index d87ac784e..8cf1a9cee 100644 --- a/previews/PR182/source/methods/clipping/union.html +++ b/previews/PR182/source/methods/clipping/union.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -268,7 +268,7 @@ throw(ArgumentError("Union between $trait_a and $trait_b with target $Target isn't implemented yet.")) return nothing end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/convex_hull.html b/previews/PR182/source/methods/convex_hull.html index e35b23a12..255512157 100644 --- a/previews/PR182/source/methods/convex_hull.html +++ b/previews/PR182/source/methods/convex_hull.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -26,7 +26,7 @@ hull_poly = GO.convex_hull(points) lines!(a, hull_poly; label = "Convex hull", color = Makie.wong_colors()[2]) axislegend(a) -f

    Convex hull of the USA ​

    julia
    import GeometryOps as GO, GeoInterface as GI
+f

    Convex hull of the USA ​

    julia
    import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 using NaturalEarth # for data
 
@@ -34,7 +34,7 @@
 usa = all_adm0.geometry[findfirst(==("USA"), all_adm0.ADM0_A3)]
 f, a, p = lines(usa)
 lines!(a, GO.convex_hull(usa); color = Makie.wong_colors()[2])
-f

    Investigating the winding order ​

    The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.

    GeometryOps' 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's just that the winding order is different.

    In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!

    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 fix it...

    julia
    import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
+f

    Investigating the winding order ​

    The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.

    GeometryOps' 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's just that the winding order is different.

    In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!

    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 fix it...

    julia
    import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
 using CairoMakie # to plot
 
 points = rand(Point2{Float64}, 100)
@@ -45,7 +45,7 @@
 a1, p1 = lines(fig[1, 1], go_hull; color = 1:GI.npoint(go_hull), axis = (; title = "MonotoneChainMethod()"))
 a2, p2 = lines(fig[2, 1], lg_hull; color = 1:GI.npoint(lg_hull), axis = (; title = "GEOS()"))
 cb = Colorbar(fig[1:2, 2], p1; label = "Vertex number")
-fig

    Implementation ​

    julia
    """
+fig

    Implementation ​

    julia
    """
     convex_hull([method], geometries)
 
 Compute the convex hull of the points in `geometries`.
@@ -75,7 +75,7 @@
 struct MonotoneChainMethod end

    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.

    julia
    convex_hull(geometries) = convex_hull(MonotoneChainMethod(), geometries)

    TODO: have this respect the CRS by pulling it out of geometries.

    julia
    function convex_hull(::MonotoneChainMethod, geometries)

    Extract all points as tuples. We have to collect and allocate here, because DelaunayTriangulation only accepts vectors of point-like geoms.

    Cleanest would be to use the iterable from GO.flatten directly, but that would require us to implement the convex hull algorithm directly.

    TODO: create a specialized method that extracts only the information required, GeometryBasics points can be passed through directly.

    julia
        points = collect(flatten(tuples, GI.PointTrait, geometries))

    Compute the convex hull using DelTri (shorthand for DelaunayTriangulation.jl).

    julia
        hull = DelaunayTriangulation.convex_hull(points)

    Convert the result to a GI.Polygon and return it. View would be more efficient here, but re-allocating is cleaner.

    julia
        point_vec = DelaunayTriangulation.get_points(hull)[DelaunayTriangulation.get_vertices(hull)]
     return GI.Polygon([GI.LinearRing(point_vec)])
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/distance.html b/previews/PR182/source/methods/distance.html index eb75ab388..71efbdcbf 100644 --- a/previews/PR182/source/methods/distance.html +++ b/previews/PR182/source/methods/distance.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,13 +29,13 @@ f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect())) scatter!(GI.x(point_in), GI.y(point_in); color = :red) scatter!(GI.x(point_out), GI.y(point_out); color = :orange) -f

    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 point_in is negative while the distance to point_out is positive.

    julia
    (
+f

    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 point_in is negative while the distance to point_out is positive.

    julia
    (
 GO.distance(point_in, rect),  # == 0
 GO.signed_distance(point_in, rect),  # < 0
 GO.signed_distance(point_out, rect)  # > 0
 )
    (0.0, -0.5, 0.5)

    Consider also a heatmap of signed distances around this object:

    julia
    xrange = yrange = LinRange(-0.5, 1.5, 300)
 f, a, p = heatmap(xrange, yrange, GO.signed_distance.(Point2f.(xrange, yrange'), Ref(rect)); colormap = :RdBu, colorrange = (-0.75, 0.75))
-a.aspect = DataAspect(); Colorbar(f[1, 2], p, label = "Signed distance"); lines!(a, GI.convert(GO.GeometryBasics, rect)); f

    Implementation ​

    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's a lot less work!

    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.

    The distance calculated is the Euclidean distance using the Pythagorean theorem. Also note that singed_distance only makes sense for "filled-in" shapes, like polygons, so it isn't implemented for curves.

    julia
    const _DISTANCE_TARGETS = TraitTarget{Union{GI.AbstractPolygonTrait,GI.LineStringTrait,GI.LinearRingTrait,GI.LineTrait,GI.PointTrait}}()
+a.aspect = DataAspect(); Colorbar(f[1, 2], p, label = "Signed distance"); lines!(a, GI.convert(GO.GeometryBasics, rect)); f

    Implementation ​

    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's a lot less work!

    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.

    The distance calculated is the Euclidean distance using the Pythagorean theorem. Also note that singed_distance only makes sense for "filled-in" shapes, like polygons, so it isn't implemented for curves.

    julia
    const _DISTANCE_TARGETS = TraitTarget{Union{GI.AbstractPolygonTrait,GI.LineStringTrait,GI.LinearRingTrait,GI.LineTrait,GI.PointTrait}}()
 
 """
     distance(point, geom, ::Type{T} = Float64)::T
@@ -199,7 +199,7 @@
     end
     return min_dist
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/equals.html b/previews/PR182/source/methods/equals.html index 776dd9dca..5a170fb5d 100644 --- a/previews/PR182/source/methods/equals.html +++ b/previews/PR182/source/methods/equals.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

    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:

    julia
    GO.equals(l1, l2)  # returns false
    false

    Implementation ​

    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's a lot less work!

    Note that while we need the same set of points and edges, they don'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't have to be saved in the same order. The winding order also doesn'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 "closed" like polygons and linear rings. These will be assumed to be closed, even if they don'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.

    julia
    """
+f

    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:

    julia
    GO.equals(l1, l2)  # returns false
    false

    Implementation ​

    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's a lot less work!

    Note that while we need the same set of points and edges, they don'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't have to be saved in the same order. The winding order also doesn'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 "closed" like polygons and linear rings. These will be assumed to be closed, even if they don'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.

    julia
    """
     equals(geom1, geom2)::Bool
 
 Compare two Geometries return true if they are the same geometry.
@@ -283,7 +283,7 @@
     end
     return true
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/contains.html b/previews/PR182/source/methods/geom_relations/contains.html index 60aa1bdae..44a738223 100644 --- a/previews/PR182/source/methods/geom_relations/contains.html +++ b/previews/PR182/source/methods/geom_relations/contains.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

    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.

    julia
    GO.contains(l1, l2)  # returns true
+f

    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.

    julia
    GO.contains(l1, l2)  # returns true
 GO.contains(l2, l1)  # returns false
    false

    Implementation ​

    This is the GeoInterface-compatible implementation.

    Given that contains is the exact opposite of within, we simply pass the two inputs variables, swapped in order, to within.

    julia
    """
     contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
 
@@ -51,7 +51,7 @@
 ```
 """
 contains(g1, g2) = GeometryOps.within(g2, g1)

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/coveredby.html b/previews/PR182/source/methods/geom_relations/coveredby.html index 8aa7bc33f..a5476496b 100644 --- a/previews/PR182/source/methods/geom_relations/coveredby.html +++ b/previews/PR182/source/methods/geom_relations/coveredby.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -27,7 +27,7 @@ l1 = GI.Line([p1, (1.0, 1.0)]) f, a, p = lines(GI.getpoint(l1)) scatter!(p1, color = :red) -f

    As we can see, p1 is on the endpoint of l1. This means it is not within, but it does meet the definition of coveredby.

    julia
    GO.coveredby(p1, l1)  # true
    true

    Implementation ​

    This is the GeoInterface-compatible implementation.

    First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

    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 coveredby 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

    The code for the specific implementations is in the geom_geom_processors file.

    julia
    const COVEREDBY_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
+f

    As we can see, p1 is on the endpoint of l1. This means it is not within, but it does meet the definition of coveredby.

    julia
    GO.coveredby(p1, l1)  # true
    true

    Implementation ​

    This is the GeoInterface-compatible implementation.

    First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

    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 coveredby 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

    The code for the specific implementations is in the geom_geom_processors file.

    julia
    const COVEREDBY_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
 const COVEREDBY_CURVE_ALLOWS = (over_allow = true, cross_allow = true, on_allow = true, out_allow = false)
 const COVEREDBY_CURVE_REQUIRES = (in_require = false, on_require = false, out_require = false)
 const COVEREDBY_POLYGON_REQUIRES = (in_require = true, on_require = false, out_require = false,)
@@ -201,7 +201,7 @@
     end
     return true
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/covers.html b/previews/PR182/source/methods/geom_relations/covers.html index d993dbd0d..1df18f6e3 100644 --- a/previews/PR182/source/methods/geom_relations/covers.html +++ b/previews/PR182/source/methods/geom_relations/covers.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ f, a, p = lines(GI.getpoint(l1)) scatter!(p1, color = :red) -f

    julia
    GO.covers(l1, p1)  # returns true
+f

    julia
    GO.covers(l1, p1)  # returns true
 GO.covers(p1, l1)  # returns false
    false

    Implementation ​

    This is the GeoInterface-compatible implementation.

    Given that covers is the exact opposite of coveredby, we simply pass the two inputs variables, swapped in order, to coveredby.

    julia
    """
     covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
 
@@ -51,7 +51,7 @@
 ```
 """
 covers(g1, g2)::Bool = GeometryOps.coveredby(g2, g1)

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/crosses.html b/previews/PR182/source/methods/geom_relations/crosses.html index f42220e2e..ed5062ff1 100644 --- a/previews/PR182/source/methods/geom_relations/crosses.html +++ b/previews/PR182/source/methods/geom_relations/crosses.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -138,7 +138,7 @@ end return false end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/disjoint.html b/previews/PR182/source/methods/geom_relations/disjoint.html index 7dded83a7..34509848c 100644 --- a/previews/PR182/source/methods/geom_relations/disjoint.html +++ b/previews/PR182/source/methods/geom_relations/disjoint.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

    We can see that none of the edges or vertices of l1 interact with l2 so they are disjoint.

    julia
    GO.disjoint(l1, l2)  # returns true
    true

    Implementation ​

    This is the GeoInterface-compatible implementation.

    First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

    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 disjoint 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

    The code for the specific implementations is in the geom_geom_processors file.

    julia
    const DISJOINT_ALLOWS = (in_allow = false, on_allow = false, out_allow = true)
+f

    We can see that none of the edges or vertices of l1 interact with l2 so they are disjoint.

    julia
    GO.disjoint(l1, l2)  # returns true
    true

    Implementation ​

    This is the GeoInterface-compatible implementation.

    First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

    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 disjoint 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

    The code for the specific implementations is in the geom_geom_processors file.

    julia
    const DISJOINT_ALLOWS = (in_allow = false, on_allow = false, out_allow = true)
 const DISJOINT_CURVE_ALLOWS = (over_allow = false, cross_allow = false, on_allow = false, out_allow = true)
 const DISJOINT_REQUIRES = (in_require = false, on_require = false, out_require = false)
 const DISJOINT_EXACT = (exact = _False(),)
@@ -196,7 +196,7 @@
     end
     return true
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/geom_geom_processors.html b/previews/PR182/source/methods/geom_relations/geom_geom_processors.html index 42209339b..85886597b 100644 --- a/previews/PR182/source/methods/geom_relations/geom_geom_processors.html +++ b/previews/PR182/source/methods/geom_relations/geom_geom_processors.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -455,7 +455,7 @@ end return skip, returnval end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/intersects.html b/previews/PR182/source/methods/geom_relations/intersects.html index ec722880a..4599a8af1 100644 --- a/previews/PR182/source/methods/geom_relations/intersects.html +++ b/previews/PR182/source/methods/geom_relations/intersects.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -27,7 +27,7 @@ line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)]) f, a, p = lines(GI.getpoint(line1)) lines!(GI.getpoint(line2)) -f

    We can see that they intersect, so we expect intersects to return true, and we can visualize the intersection point in red.

    julia
    GO.intersects(line1, line2)  # true
    true

    Implementation ​

    This is the GeoInterface-compatible implementation.

    Given that intersects is the exact opposite of disjoint, we simply pass the two inputs variables, swapped in order, to disjoint.

    julia
    """
+f

    We can see that they intersect, so we expect intersects to return true, and we can visualize the intersection point in red.

    julia
    GO.intersects(line1, line2)  # true
    true

    Implementation ​

    This is the GeoInterface-compatible implementation.

    Given that intersects is the exact opposite of disjoint, we simply pass the two inputs variables, swapped in order, to disjoint.

    julia
    """
     intersects(geom1, geom2)::Bool
 
 Return true if the interiors or boundaries of the two geometries interact.
@@ -45,7 +45,7 @@
 ```
 """
 intersects(geom1, geom2) = !disjoint(geom1, geom2)

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/overlaps.html b/previews/PR182/source/methods/geom_relations/overlaps.html index 00b21c95a..4e94650b2 100644 --- a/previews/PR182/source/methods/geom_relations/overlaps.html +++ b/previews/PR182/source/methods/geom_relations/overlaps.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

    We can see that the two lines overlap in the plot:

    julia
    GO.overlaps(l1, l2)  # true
    true

    Implementation ​

    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's a lot less work!

    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.

    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.

    julia
    """
+f

    We can see that the two lines overlap in the plot:

    julia
    GO.overlaps(l1, l2)  # true
    true

    Implementation ​

    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's a lot less work!

    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.

    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.

    julia
    """
     overlaps(geom1, geom2)::Bool
 
 Compare two Geometries of the same dimension and return true if their
@@ -230,7 +230,7 @@
     seg_val, _, _ = _intersection_point(Float64, edge_a, edge_b; exact = _False())
     return seg_val != line_out
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/touches.html b/previews/PR182/source/methods/geom_relations/touches.html index 0db08e1d6..5d3b84eab 100644 --- a/previews/PR182/source/methods/geom_relations/touches.html +++ b/previews/PR182/source/methods/geom_relations/touches.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -28,7 +28,7 @@ f, a, p = lines(GI.getpoint(l1)) lines!(GI.getpoint(l2)) -f

    We can see that these two lines touch only at their endpoints.

    julia
    GO.touches(l1, l2)  # true
    true

    Implementation ​

    This is the GeoInterface-compatible implementation.

    First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

    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 touches 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

    The code for the specific implementations is in the geom_geom_processors file.

    julia
    const TOUCHES_POINT_ALLOWED = (in_allow = false, on_allow = true, out_allow = false)
+f

    We can see that these two lines touch only at their endpoints.

    julia
    GO.touches(l1, l2)  # true
    true

    Implementation ​

    This is the GeoInterface-compatible implementation.

    First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

    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 touches 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

    The code for the specific implementations is in the geom_geom_processors file.

    julia
    const TOUCHES_POINT_ALLOWED = (in_allow = false, on_allow = true, out_allow = false)
 const TOUCHES_CURVE_ALLOWED = (over_allow = false, cross_allow = false, on_allow = true, out_allow = true)
 const TOUCHES_POLYGON_ALLOWS = (in_allow = false, on_allow = true, out_allow = true)
 const TOUCHES_REQUIRES = (in_require = false, on_require = true, out_require = false)
@@ -192,7 +192,7 @@
     end
     return true
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/geom_relations/within.html b/previews/PR182/source/methods/geom_relations/within.html index 3a7f2a052..e95e09c48 100644 --- a/previews/PR182/source/methods/geom_relations/within.html +++ b/previews/PR182/source/methods/geom_relations/within.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

    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

    julia
    GO.within(l1, l2)  # false
+f

    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

    julia
    GO.within(l1, l2)  # false
 GO.within(l2, l1)  # true
    true

    Implementation ​

    This is the GeoInterface-compatible implementation.

    First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

    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 within 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 - at least one point of g1 is 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

    The code for the specific implementations is in the geom_geom_processors file.

    julia
    const WITHIN_POINT_ALLOWS = (in_allow = true, on_allow = false, out_allow = false)
 const WITHIN_CURVE_ALLOWS = (over_allow = true, cross_allow = true, on_allow = true, out_allow = false)
 const WITHIN_POLYGON_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
@@ -211,7 +211,7 @@
     end
     return true
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/orientation.html b/previews/PR182/source/methods/orientation.html index 9aaa8ac09..62125c820 100644 --- a/previews/PR182/source/methods/orientation.html +++ b/previews/PR182/source/methods/orientation.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -118,7 +118,7 @@ _isparallel(bx - ax, by - ay, dx - cx, dy - cy) _isparallel(Δx1, Δy1, Δx2, Δy2) = (Δx1 * Δy2 == Δy1 * Δx2)

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/methods/polygonize.html b/previews/PR182/source/methods/polygonize.html index a39a8d6fe..4e7135efd 100644 --- a/previews/PR182/source/methods/polygonize.html +++ b/previews/PR182/source/methods/polygonize.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -307,7 +307,7 @@ end return edges end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/not_implemented_yet.html b/previews/PR182/source/not_implemented_yet.html index 00ef88974..b92ee2b86 100644 --- a/previews/PR182/source/not_implemented_yet.html +++ b/previews/PR182/source/not_implemented_yet.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -22,7 +22,7 @@ function buffer end function convexhull end function concavehull end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/primitives.html b/previews/PR182/source/primitives.html index 310ae26d1..f7470421e 100644 --- a/previews/PR182/source/primitives.html +++ b/previews/PR182/source/primitives.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -323,7 +323,7 @@ Base.@assume_effects :foldable function _mapreducetasks(f::F, op, taskrange, threaded::_False; init) where F mapreduce(f, op, taskrange; init) end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/correction/closed_ring.html b/previews/PR182/source/transformations/correction/closed_ring.html index 2bfc86f6e..aaf5ac4b9 100644 --- a/previews/PR182/source/transformations/correction/closed_ring.html +++ b/previews/PR182/source/transformations/correction/closed_ring.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -48,7 +48,7 @@ else

    Assemble the ring as a vector

    julia
            tups = tuples.(GI.getpoint(ring))

    Close the ring

    julia
            push!(tups, tups[1])

    Return an actual ring

    julia
            return GI.LinearRing(tups)
     end
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/correction/geometry_correction.html b/previews/PR182/source/transformations/correction/geometry_correction.html index 0818d4f31..58fedcfa2 100644 --- a/previews/PR182/source/transformations/correction/geometry_correction.html +++ b/previews/PR182/source/transformations/correction/geometry_correction.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -49,7 +49,7 @@ end return final_geometry end

    Available corrections ​

    # GeometryOps.ClosedRing — Type.
    julia
    ClosedRing() <: GeometryCorrection

    This correction ensures that a polygon's exterior and interior rings are closed.

    It can be called on any geometry correction as usual.

    See also GeometryCorrection.

    source


    # GeometryOps.DiffIntersectingPolygons — Type.
    julia
    DiffIntersectingPolygons() <: GeometryCorrection

    This correction ensures that the polygons included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be made nonintersecting through the difference operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also GeometryCorrection, UnionIntersectingPolygons.

    source


    # GeometryOps.GeometryCorrection — Type.
    julia
    abstract type GeometryCorrection

    This abstract type represents a geometry correction.

    Interface

    Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.

    source


    # GeometryOps.UnionIntersectingPolygons — Type.
    julia
    UnionIntersectingPolygons() <: GeometryCorrection

    This correction ensures that the polygon's included in a multipolygon aren't intersecting. If any polygon'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.

    See also GeometryCorrection.

    source


    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/correction/intersecting_polygons.html b/previews/PR182/source/transformations/correction/intersecting_polygons.html index 9beb462e1..8c5268605 100644 --- a/previews/PR182/source/transformations/correction/intersecting_polygons.html +++ b/previews/PR182/source/transformations/correction/intersecting_polygons.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -115,7 +115,7 @@ end return diff_multipoly end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/extent.html b/previews/PR182/source/transformations/extent.html index 1f0caa001..3cae4bc42 100644 --- a/previews/PR182/source/transformations/extent.html +++ b/previews/PR182/source/transformations/extent.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -31,7 +31,7 @@ """ embed_extent(x; threaded=false, crs=nothing) = apply(identity, GI.PointTrait(), x; calc_extent=true, threaded, crs)

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/flip.html b/previews/PR182/source/transformations/flip.html index dac89cc6f..e79312db6 100644 --- a/previews/PR182/source/transformations/flip.html +++ b/previews/PR182/source/transformations/flip.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -40,7 +40,7 @@ end end end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/reproject.html b/previews/PR182/source/transformations/reproject.html index 3d0faa94b..6352947c2 100644 --- a/previews/PR182/source/transformations/reproject.html +++ b/previews/PR182/source/transformations/reproject.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -59,7 +59,7 @@ nothing end end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/segmentize.html b/previews/PR182/source/transformations/segmentize.html index bc7a93a69..5af255e1f 100644 --- a/previews/PR182/source/transformations/segmentize.html +++ b/previews/PR182/source/transformations/segmentize.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -39,7 +39,7 @@ f, a, p = poly(collect(GI.getpoint(linear)); label = "Linear", axis = (; aspect = DataAspect())) p2 = poly!(collect(GI.getpoint(geodesic)); label = "Geodesic") axislegend(a; position = :lt) -f

    There are two methods available for segmentizing geometries at the moment:

    Missing docstring.

    Missing docstring for LinearSegments. Check Documenter's build log for details.

    Missing docstring.

    Missing docstring for GeodesicSegments. Check Documenter's build log for details.

    Benchmark ​

    We benchmark our method against LibGEOS's GEOSDensify method, which is a similar method for densifying geometries.

    julia
    using BenchmarkTools: BenchmarkGroup
+f

    There are two methods available for segmentizing geometries at the moment:

    Missing docstring.

    Missing docstring for LinearSegments. Check Documenter's build log for details.

    Missing docstring.

    Missing docstring for GeodesicSegments. Check Documenter's build log for details.

    Benchmark ​

    We benchmark our method against LibGEOS's GEOSDensify method, which is a similar method for densifying geometries.

    julia
    using BenchmarkTools: BenchmarkGroup
 using Chairmarks: @be
 using Main: plot_trials
 using CairoMakie
@@ -77,7 +77,7 @@
 
 end
 
-plot_trials(segmentize_suite)

    julia
    abstract type SegmentizeMethod end
+plot_trials(segmentize_suite)

    julia
    abstract type SegmentizeMethod end
 """
     LinearSegments(; max_distance::Real)
 
@@ -146,7 +146,7 @@
 This is a method which performs the common functionality for both linear and geodesic algorithms,
 and calls out to the "kernel" function which we've defined per linesegment.
 =#
-function _segmentize(method::Union{LinearSegments, GeodesicSegments}, geom, T::Union{GI.LineStringTrait, GI.LinearRingTrait})
+function _segmentize(method::SegmentizeMethod, geom, T::Union{GI.LineStringTrait, GI.LinearRingTrait})
     first_coord = GI.getpoint(geom, 1)
     x1, y1 = GI.x(first_coord), GI.y(first_coord)
     new_coords = NTuple{2, Float64}[]
@@ -172,7 +172,7 @@
     end

    End the line with the original coordinate, to avoid any multiplication errors.

    julia
        push!(new_coords, (x2, y2))
     return nothing
 end

    Note

    The _fill_linear_kernel definition for GeodesicSegments is in the GeometryOpsProjExt extension module, in the segmentize.jl file.

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/simplify.html b/previews/PR182/source/transformations/simplify.html index 6904182ed..826fde506 100644 --- a/previews/PR182/source/transformations/simplify.html +++ b/previews/PR182/source/transformations/simplify.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ f, a, p = poly(original; label = "Original") poly!(simple; label = "Simplified") axislegend(a) -f

    Benchmark ​

    We benchmark these methods against LibGEOS's simplify implementation, which uses the Douglas-Peucker algorithm.

    julia
    using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
+f

    Benchmark ​

    We benchmark these methods against LibGEOS's simplify implementation, which uses the Douglas-Peucker algorithm.

    julia
    using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
 import GeometryOps as GO, LibGEOS as LG, GeoInterface as GI
 using CoordinateTransformations
 using NaturalEarth
@@ -42,7 +42,7 @@
 usa_poly = GI.getgeom(usa_multipoly, findmax(GO.area.(GI.getgeom(usa_multipoly)))[2]) # isolate the poly with the most area
 usa_centroid = GO.centroid(usa_poly)
 usa_reflected = GO.transform(Translation(usa_centroid...) ∘ LinearMap(Makie.rotmatrix2d(π)) ∘ Translation((-).(usa_centroid)...), usa_poly)
-f, a, p = plot(usa_poly; label = "Original", axis = (; aspect = DataAspect()))#; plot!(usa_reflected; label = "Reflected")

    This is the complex polygon we'll be benchmarking.

    julia
    simplify_suite = BenchmarkGroup(["Simplify"])
+f, a, p = plot(usa_poly; label = "Original", axis = (; aspect = DataAspect()))#; plot!(usa_reflected; label = "Reflected")

    This is the complex polygon we'll be benchmarking.

    julia
    simplify_suite = BenchmarkGroup(["Simplify"])
 singlepoly_suite = BenchmarkGroup(["Polygon", "title:Polygon simplify", "subtitle:Random blob"])
 
 include(joinpath(dirname(dirname(pathof(GO))), "test", "data", "polygon_generation.jl"))
@@ -56,7 +56,7 @@
     singlepoly_suite["LibGEOS"][GI.npoint(geom)] = @be LG.simplify($geom_lg, 0.1) seconds=1
 end
 
-plot_trials(singlepoly_suite; legend_position=(1, 1, TopRight()), legend_valign = -2, legend_halign = 1.2, legend_orientation = :horizontal)

    julia
    multipoly_suite = BenchmarkGroup(["MultiPolygon", "title:Multipolygon simplify", "subtitle:USA multipolygon"])
+plot_trials(singlepoly_suite; legend_position=(1, 1, TopRight()), legend_valign = -2, legend_halign = 1.2, legend_orientation = :horizontal)

    julia
    multipoly_suite = BenchmarkGroup(["MultiPolygon", "title:Multipolygon simplify", "subtitle:USA multipolygon"])
 
 for frac in exp10.(LinRange(log10(0.3), log10(1), 6)) # TODO: this example isn't the best.  How can we get this better?
     geom = GO.simplify(usa_multipoly; ratio = frac)
@@ -75,7 +75,7 @@
     # GO-VW : $(GI.npoint( GO.simplify((GO.VisvalingamWhyatt(; tol = _tol)), geom_go)))
     println()
 end
-plot_trials(multipoly_suite)

    julia
    export simplify, VisvalingamWhyatt, DouglasPeucker, RadialDistance
+plot_trials(multipoly_suite)

    julia
    export simplify, VisvalingamWhyatt, DouglasPeucker, RadialDistance
 
 const _SIMPLIFY_TARGET = TraitTarget{Union{GI.PolygonTrait, GI.AbstractCurveTrait, GI.MultiPointTrait, GI.PointTrait}}()
 const MIN_POINTS = 3
@@ -508,7 +508,7 @@
     end
     return nothing
 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/transform.html b/previews/PR182/source/transformations/transform.html index d6ba015c1..59563e7dc 100644 --- a/previews/PR182/source/transformations/transform.html +++ b/previews/PR182/source/transformations/transform.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -73,7 +73,7 @@ end end end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/transformations/tuples.html b/previews/PR182/source/transformations/tuples.html index 93feafe4a..1b2358c0a 100644 --- a/previews/PR182/source/transformations/tuples.html +++ b/previews/PR182/source/transformations/tuples.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -37,7 +37,7 @@ end end end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/types.html b/previews/PR182/source/types.html index 1133a1f1f..bde76a362 100644 --- a/previews/PR182/source/types.html +++ b/previews/PR182/source/types.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -85,7 +85,7 @@ error("$(f) requires a `$(kw)` keyword argument to the `GEOS` algorithm, which was not provided.") end end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/source/utils.html b/previews/PR182/source/utils.html index f91e1e82a..b933f3065 100644 --- a/previews/PR182/source/utils.html +++ b/previews/PR182/source/utils.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -138,7 +138,7 @@ (x1, x2), (y1, y2) = extent.X, extent.Y return x1 ≤ GI.x(p) ≤ x2 && y1 ≤ GI.y(p) ≤ y2 end

    This page was generated using Literate.jl.

    - + \ No newline at end of file diff --git a/previews/PR182/tutorials/creating_geometry.html b/previews/PR182/tutorials/creating_geometry.html index 255570531..6eb90c4d8 100644 --- a/previews/PR182/tutorials/creating_geometry.html +++ b/previews/PR182/tutorials/creating_geometry.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -28,37 +28,37 @@ import Proj # Plotting using CairoMakie -using GeoMakie

    Creating and plotting geometries ​

    Let's start by making a single Point.

    julia
    point = GI.Point(0, 0)
    GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((0, 0), nothing)

    Now, let's plot our point.

    julia
    fig, ax, plt = plot(point)

    Let's create a set of points, and have a bit more fun with plotting.

    julia
    x = [-5, 0, 5, 0];
+using GeoMakie

    Creating and plotting geometries ​

    Let's start by making a single Point.

    julia
    point = GI.Point(0, 0)
    GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((0, 0), nothing)

    Now, let's plot our point.

    julia
    fig, ax, plt = plot(point)

    Let's create a set of points, and have a bit more fun with plotting.

    julia
    x = [-5, 0, 5, 0];
 y = [0, -5, 0, 5];
 points = GI.Point.(zip(x,y));
 plot!(ax, points; marker = '✈', markersize = 30)
-fig

    Points can be combined into a single MultiPoint geometry.

    julia
    x = [-5, -5, 5, 5];
+fig

    Points can be combined into a single MultiPoint geometry.

    julia
    x = [-5, -5, 5, 5];
 y = [-5, 5, 5, -5];
 multipoint = GI.MultiPoint(GI.Point.(zip(x, y)));
 plot!(ax, multipoint; marker = '☁', markersize = 30)
-fig

    Let's create a LineString connecting two points.

    julia
    p1 = GI.Point.(-5, 0);
+fig

    Let's create a LineString connecting two points.

    julia
    p1 = GI.Point.(-5, 0);
 p2 = GI.Point.(5, 0);
 line = GI.LineString([p1,p2])
 plot!(ax, line; color = :red)
-fig

    Now, let's create a line connecting multiple points (i.e. a LineString). This time we get a bit more fancy with point creation.

    julia
    r = 2;
+fig

    Now, let's create a line connecting multiple points (i.e. a LineString). This time we get a bit more fancy with point creation.

    julia
    r = 2;
 k = 10;
 ϴ = 0:0.01:2pi;
 x = r .* (k + 1) .* cos.(ϴ) .- r .* cos.((k + 1) .* ϴ);
 y = r .* (k + 1) .* sin.(ϴ) .- r .* sin.((k + 1) .* ϴ);
 lines = GI.LineString(GI.Point.(zip(x,y)));
 plot!(ax, lines; linewidth = 5)
-fig

    We can also create a single LinearRing trait, the building block of a polygon. A LinearRing is simply a LineString with the same beginning and endpoint, i.e., an arbitrary closed shape composed of point pairs.

    A LinearRing is composed of a series of points.

    julia
    ring1 = GI.LinearRing(GI.getpoint(lines));
    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)

    Now, let's make the LinearRing into a Polygon.

    julia
    polygon1 = GI.Polygon([ring1]);
    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)

    Now, we can use GeometryOps and CoordinateTransformations to shift polygon1 up, to avoid plotting over our earlier results. This is done through the GeometryOps.transform function.

    julia
    xoffset = 0.;
+fig

    We can also create a single LinearRing trait, the building block of a polygon. A LinearRing is simply a LineString with the same beginning and endpoint, i.e., an arbitrary closed shape composed of point pairs.

    A LinearRing is composed of a series of points.

    julia
    ring1 = GI.LinearRing(GI.getpoint(lines));
    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)

    Now, let's make the LinearRing into a Polygon.

    julia
    polygon1 = GI.Polygon([ring1]);
    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)

    Now, we can use GeometryOps and CoordinateTransformations to shift polygon1 up, to avoid plotting over our earlier results. This is done through the GeometryOps.transform function.

    julia
    xoffset = 0.;
 yoffset = 50.;
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 polygon1 = GO.transform(f, polygon1);
 plot!(polygon1)
-fig

    Polygons can contain "holes". The first LinearRing in a polygon is the exterior, and all subsequent LinearRings are treated as holes in the leading LinearRing.

    GeoInterface offers the GI.getexterior(poly) and GI.gethole(poly) methods to get the exterior ring and an iterable of holes, respectively.

    julia
    hole = GI.LinearRing(GI.getpoint(multipoint))
+fig

    Polygons can contain "holes". The first LinearRing in a polygon is the exterior, and all subsequent LinearRings are treated as holes in the leading LinearRing.

    GeoInterface offers the GI.getexterior(poly) and GI.gethole(poly) methods to get the exterior ring and an iterable of holes, respectively.

    julia
    hole = GI.LinearRing(GI.getpoint(multipoint))
 polygon2 = GI.Polygon([ring1, hole])
    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)

    Shift polygon2 to the right, to avoid plotting over our earlier results.

    julia
    xoffset = 50.;
 yoffset = 0.;
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 polygon2 = GO.transform(f, polygon2);
 plot!(polygon2)
-fig

    Polygons can also be grouped together as a MultiPolygon.

    julia
    r = 5;
+fig

    Polygons can also be grouped together as a MultiPolygon.

    julia
    r = 5;
 x = cos.(reverse(ϴ)) .* r .+ xoffset;
 y = sin.(reverse(ϴ)) .* r .+ yoffset;
 ring2 =  GI.LinearRing(GI.Point.(zip(x,y)));
@@ -68,7 +68,7 @@
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 multipolygon = GO.transform(f, multipolygon);
 plot!(multipolygon)
-fig

    Great, now we can make Points, MultiPoints, Lines, LineStrings, Polygons (with holes), and MultiPolygons and modify them using [CoordinateTransformations] and [GeometryOps].

    Plot geometries on a map using GeoMakie and coordinate reference system (CRS) ​

    In geospatial sciences we often have data in one Coordinate Reference System (CRS) (source) and would like to display it in different (destination) CRS. GeoMakie allows us to do this by automatically projecting from source to destination CRS.

    Here, our source CRS is common geographic (i.e. coordinates of latitude and longitude), WGS84.

    julia
    source_crs1 = GFT.EPSG(4326)
    GeoFormatTypes.EPSG{1}((4326,))

    Now let's pick a destination CRS for displaying our map. Here we'll pick natearth2.

    julia
    destination_crs = "+proj=natearth2"
    "+proj=natearth2"

    Let's add land area for context. First, download and open the Natural Earth global land polygons at 110 m resolution.GeoMakie ships with this particular dataset, so we will access it from there.

    julia
    land_path = GeoMakie.assetpath("ne_110m_land.geojson")
    "/home/runner/.julia/packages/GeoMakie/2upVC/assets/ne_110m_land.geojson"

    Note

    Natural Earth has lots of other datasets, and there is a Julia package that provides an interface to it called NaturalEarth.jl.

    Read the land MultiPolygons as a GeoJSON.FeatureCollection.

    julia
    land_geo = GeoJSON.read(land_path)
    FeatureCollection with 127 Features

    We then need to create a figure with a GeoAxis that can handle the projection between source and destination CRS. For GeoMakie, source is the CRS of the input and dest is the CRS you want to visualize in.

    julia
    fig = Figure(size=(1000, 500));
+fig

    Great, now we can make Points, MultiPoints, Lines, LineStrings, Polygons (with holes), and MultiPolygons and modify them using [CoordinateTransformations] and [GeometryOps].

    Plot geometries on a map using GeoMakie and coordinate reference system (CRS) ​

    In geospatial sciences we often have data in one Coordinate Reference System (CRS) (source) and would like to display it in different (destination) CRS. GeoMakie allows us to do this by automatically projecting from source to destination CRS.

    Here, our source CRS is common geographic (i.e. coordinates of latitude and longitude), WGS84.

    julia
    source_crs1 = GFT.EPSG(4326)
    GeoFormatTypes.EPSG{1}((4326,))

    Now let's pick a destination CRS for displaying our map. Here we'll pick natearth2.

    julia
    destination_crs = "+proj=natearth2"
    "+proj=natearth2"

    Let's add land area for context. First, download and open the Natural Earth global land polygons at 110 m resolution.GeoMakie ships with this particular dataset, so we will access it from there.

    julia
    land_path = GeoMakie.assetpath("ne_110m_land.geojson")
    "/home/runner/.julia/packages/GeoMakie/2upVC/assets/ne_110m_land.geojson"

    Note

    Natural Earth has lots of other datasets, and there is a Julia package that provides an interface to it called NaturalEarth.jl.

    Read the land MultiPolygons as a GeoJSON.FeatureCollection.

    julia
    land_geo = GeoJSON.read(land_path)
    FeatureCollection with 127 Features

    We then need to create a figure with a GeoAxis that can handle the projection between source and destination CRS. For GeoMakie, source is the CRS of the input and dest is the CRS you want to visualize in.

    julia
    fig = Figure(size=(1000, 500));
 ga = GeoAxis(
     fig[1, 1];
     source = source_crs1,
@@ -76,8 +76,8 @@
     xticklabelsvisible = false,
     yticklabelsvisible = false,
 );

    Plot land for context.

    julia
    poly!(ga, land_geo, color=:black)
-fig

    Now let's plot a Polygon like before, but this time with a CRS that differs from our source data

    julia
    plot!(multipolygon; color = :green)
-fig

    But what if we want to plot geometries with a different source CRS on the same figure?

    To show how to do this let's create a geometry with coordinates in UTM (Universal Transverse Mercator) zone 10N EPSG:32610.

    julia
    source_crs2 = GFT.EPSG(32610)
    GeoFormatTypes.EPSG{1}((32610,))

    Create a polygon (we're working in meters now, not latitude and longitude)

    julia
    r = 1000000;
+fig

    Now let's plot a Polygon like before, but this time with a CRS that differs from our source data

    julia
    plot!(multipolygon; color = :green)
+fig

    But what if we want to plot geometries with a different source CRS on the same figure?

    To show how to do this let's create a geometry with coordinates in UTM (Universal Transverse Mercator) zone 10N EPSG:32610.

    julia
    source_crs2 = GFT.EPSG(32610)
    GeoFormatTypes.EPSG{1}((32610,))

    Create a polygon (we're working in meters now, not latitude and longitude)

    julia
    r = 1000000;
 ϴ = 0:0.01:2pi;
 x = r .* cos.(ϴ).^3 .+ 500000;
 y = r .* sin.(ϴ) .^ 3 .+5000000;
    629-element Vector{Float64}:
@@ -87,7 +87,7 @@
  ⋮
  5.0e6
  5.0e6

    Now create a LinearRing from Points

    julia
    ring3 = GI.LinearRing(Point.(zip(x, y)))
    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)

    Now create a Polygon from the LineRing

    julia
    polygon3 = GI.Polygon([ring3])
    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)

    Now plot on the existing GeoAxis.

    Note

    The keyword argument source is used to specify the source CRS of that particular plot, when plotting on an existing GeoAxis.

    julia
    plot!(ga,polygon3; color=:red, source = source_crs2)
-fig

    Create geospatial geometries with embedded coordinate reference system information ​

    Great, we can make geometries and plot them on a map... now let's export the data to common geospatial data formats. To do this we now need to create geometries with embedded CRS information, making it a geospatial geometry. All that's needed is to include ; crs = crs as a keyword argument when constructing the geometry.

    Let's do this for a new Polygon

    julia
    r = 3;
+fig

    Create geospatial geometries with embedded coordinate reference system information ​

    Great, we can make geometries and plot them on a map... now let's export the data to common geospatial data formats. To do this we now need to create geometries with embedded CRS information, making it a geospatial geometry. All that's needed is to include ; crs = crs as a keyword argument when constructing the geometry.

    Let's do this for a new Polygon

    julia
    r = 3;
 k = 7;
 ϴ = 0:0.01:2pi;
 x = r .* (k + 1) .* cos.(ϴ) .- r .* cos.((k + 1) .* ϴ);
@@ -107,7 +107,7 @@
 GeoParquet.write(fn, df, (:geometry,))
    "shapes.parquet"

    Finally, if there's no Julia-native package that can write data to your desired format (e.g. .gpkg, .gml, etc), you can use GeoDataFrames. This package uses the GDAL library under the hood which supports writing to nearly all geospatial formats.

    julia
    import GeoDataFrames
 fn = "shapes.gpkg"
 GeoDataFrames.write(fn, df)
    "shapes.gpkg"

    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.

    - + \ No newline at end of file diff --git a/previews/PR182/tutorials/geodesic_paths.html b/previews/PR182/tutorials/geodesic_paths.html index c9a0b7d70..8edcb3a57 100644 --- a/previews/PR182/tutorials/geodesic_paths.html +++ b/previews/PR182/tutorials/geodesic_paths.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -28,8 +28,8 @@ fig, ga, _cp = lines(GeoMakie.coastlines(); axis = (; type = GeoAxis)) lines!(ga, GO.segmentize(GO.GeodesicSegments(; max_distance = 100_000), GI.LineString([IAH, AMS])); color = Makie.wong_colors()[2]) -fig

    - +fig

    + \ No newline at end of file diff --git a/previews/PR182/tutorials/spatial_joins.html b/previews/PR182/tutorials/spatial_joins.html index b79554c19..ba86fb5f8 100644 --- a/previews/PR182/tutorials/spatial_joins.html +++ b/previews/PR182/tutorials/spatial_joins.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -28,14 +28,14 @@ pl = GI.Polygon([GI.LinearRing([(0, 0), (1, 0), (1, 1), (0, 0)])]) pu = GI.Polygon([GI.LinearRing([(0, 0), (0, 1), (1, 1), (0, 0)])]) poly_df = DataFrame(geometry = [pl, pu], color = [:red, :blue]) -f, a, p = poly(poly_df.geometry; color = tuple.(poly_df.color, 0.3))

    Here, the upper polygon is blue, and the lower polygon is red. Keep this in mind!

    Now, we generate the points.

    julia
    points = tuple.(rand(1000), rand(1000))
+f, a, p = poly(poly_df.geometry; color = tuple.(poly_df.color, 0.3))

    Here, the upper polygon is blue, and the lower polygon is red. Keep this in mind!

    Now, we generate the points.

    julia
    points = tuple.(rand(1000), rand(1000))
 points_df = DataFrame(geometry = points)
 scatter!(points_df.geometry)
-f

    You can see that they are evenly distributed around the box. But how do we know which points are in which polygons?

    We have to join the two dataframes based on which polygon (if any) each point lies within.

    Now, we can perform the "spatial join" using FlexiJoins. We are performing an outer join here

    julia
    @time joined_df = FlexiJoins.innerjoin(
+f

    You can see that they are evenly distributed around the box. But how do we know which points are in which polygons?

    We have to join the two dataframes based on which polygon (if any) each point lies within.

    Now, we can perform the "spatial join" using FlexiJoins. We are performing an outer join here

    julia
    @time joined_df = FlexiJoins.innerjoin(
     (points_df, poly_df),
     by_pred(:geometry, GO.within, :geometry)
 )
    julia
    scatter!(a, joined_df.geometry; color = joined_df.color)
-f

    Here, you can see that the colors were assigned appropriately to the scattered points!

    Real-world example ​

    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.

    julia
    import GeoInterface as GI, GeometryOps as GO
+f

    Here, you can see that the colors were assigned appropriately to the scattered points!

    Real-world example ​

    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.

    julia
    import GeoInterface as GI, GeometryOps as GO
 using FlexiJoins, DataFrames, GADM # GADM gives us country and sublevel geometry
 
 using CairoMakie, GeoInterfaceMakie
@@ -60,7 +60,7 @@
     ::FlexiJoins.ByPred{typeof(my_predicate_function)}, 
     datas
 ) = true

    This will enable FlexiJoins to support your custom function, when it's passed to by_pred(:geometry, my_predicate_function, :geometry).

    - + \ No newline at end of file