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wiheojh.CZy9YIUA.png} (100%) rename previews/PR196/assets/{zmnkgsb.mCtKcWOr.png => wpjeuyl.mCtKcWOr.png} (100%) create mode 100644 previews/PR196/assets/wtmgdbb.Bb-Rz5Ac.png delete mode 100644 previews/PR196/assets/xlumhzt._0ia0Jl9.png rename previews/PR196/assets/{ooewamz.B9NpLJr_.png => ycmmzxy.B9NpLJr_.png} (100%) rename previews/PR196/assets/{rdfxori.Dig-DWOQ.png => yjjszca.Dig-DWOQ.png} (100%) rename previews/PR196/assets/{vvwlarw.DaovVbE6.png => yupsqtm.DaovVbE6.png} (100%) delete mode 100644 previews/PR196/assets/zjvkmaq.dQvY50jM.png rename previews/PR196/assets/{xwedmlb.DuBHk1fh.png => zsyhpiu.DuBHk1fh.png} (100%) diff --git a/previews/PR196/404.html b/previews/PR196/404.html index ce97e0beb..4aaea3e54 100644 --- a/previews/PR196/404.html +++ b/previews/PR196/404.html @@ -8,7 +8,7 @@ - + @@ -16,7 +16,7 @@
- + \ No newline at end of file diff --git a/previews/PR196/api.html b/previews/PR196/api.html index 6e0e4a6ce..0f9b51183 100644 --- a/previews/PR196/api.html +++ b/previews/PR196/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/PR196/assets/api.md.DUGqvURq.js b/previews/PR196/assets/api.md.D3FA5iuJ.js
similarity index 99%
rename from previews/PR196/assets/api.md.DUGqvURq.js
rename to previews/PR196/assets/api.md.D3FA5iuJ.js
index 760a91771..2ba5fad2e 100644
--- a/previews/PR196/assets/api.md.DUGqvURq.js
+++ b/previews/PR196/assets/api.md.D3FA5iuJ.js
@@ -1,4 +1,4 @@
-import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.DdNi_LGc.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.DdNi_LGc.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/PR196/assets/api.md.DUGqvURq.lean.js b/previews/PR196/assets/api.md.D3FA5iuJ.lean.js
similarity index 100%
rename from previews/PR196/assets/api.md.DUGqvURq.lean.js
rename to previews/PR196/assets/api.md.D3FA5iuJ.lean.js
diff --git a/previews/PR196/assets/app.CBR9S5bJ.js b/previews/PR196/assets/app.R0VEvziS.js
similarity index 95%
rename from previews/PR196/assets/app.CBR9S5bJ.js
rename to previews/PR196/assets/app.R0VEvziS.js
index 03dc26104..dc0b73e12 100644
--- a/previews/PR196/assets/app.CBR9S5bJ.js
+++ b/previews/PR196/assets/app.R0VEvziS.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.DdNi_LGc.js";import{R as S}from"./chunks/theme.C3ts9W2x.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$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&_().then(({app:e,router:a,data:t})=>{a.go().then(()=>{p(a.route,t.site),e.mount("#app")})});export{_ as createApp};
+import{U as o,a8 as p,a9 as u,aa as l,ab as c,ac as f,ad as d,ae as m,af as h,ag as g,ah as A,d as P,u as v,y,x as w,ai as C,aj as R,ak as b,a6 as E}from"./chunks/framework.DdNi_LGc.js";import{R as S}from"./chunks/theme.L6RPaa2W.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(S),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return y(()=>{w(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),R(),b(),s.setup&&s.setup(),()=>E(s.Layout)}});async function _(){globalThis.__VITEPRESS__=!0;const e=x(),a=j();a.provide(u,e);const t=l(e.route);return a.provide(c,t),a.component("Content",f),a.component("ClientOnly",d),Object.defineProperties(a.config.globalProperties,{$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};
diff --git a/previews/PR196/assets/apwawio.Qu_A-LJM.png b/previews/PR196/assets/apwawio.Qu_A-LJM.png
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diff --git a/previews/PR196/assets/chunks/theme.C3ts9W2x.js b/previews/PR196/assets/chunks/theme.L6RPaa2W.js
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Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
+import{_ as s,c as i,o as a,a7 as h}from"./chunks/framework.DdNi_LGc.js";const k="/GeometryOps.jl/previews/PR196/assets/mchjitb._jgzhla6.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/PR196/assets/experiments_predicates.md.Cf09Nyio.lean.js b/previews/PR196/assets/experiments_predicates.md.D2pdA-Ch.lean.js
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- + \ No newline at end of file diff --git a/previews/PR196/experiments/predicates.html b/previews/PR196/experiments/predicates.html index d4b200e77..1addbada7 100644 --- a/previews/PR196/experiments/predicates.html +++ b/previews/PR196/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/PR196/explanations/crs.html b/previews/PR196/explanations/crs.html index 31d18319d..88ca6bfb1 100644 --- a/previews/PR196/explanations/crs.html +++ b/previews/PR196/explanations/crs.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
GeometryOps.jl

Appearance

- + \ No newline at end of file diff --git a/previews/PR196/explanations/paradigms.html b/previews/PR196/explanations/paradigms.html index 636f8a604..f24add232 100644 --- a/previews/PR196/explanations/paradigms.html +++ b/previews/PR196/explanations/paradigms.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
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/PR196/explanations/peculiarities.html b/previews/PR196/explanations/peculiarities.html index 963810844..2e5643f62 100644 --- a/previews/PR196/explanations/peculiarities.html +++ b/previews/PR196/explanations/peculiarities.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
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/PR196/explanations/winding_order.html b/previews/PR196/explanations/winding_order.html index b710bf562..e294aa706 100644 --- a/previews/PR196/explanations/winding_order.html +++ b/previews/PR196/explanations/winding_order.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
GeometryOps.jl

Appearance

- + \ No newline at end of file diff --git a/previews/PR196/hashmap.json b/previews/PR196/hashmap.json index 809d62181..50771662f 100644 --- a/previews/PR196/hashmap.json +++ b/previews/PR196/hashmap.json @@ -1 +1 @@ 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diff --git a/previews/PR196/index.html b/previews/PR196/index.html index 0f4d9dc17..345740261 100644 --- a/previews/PR196/index.html +++ b/previews/PR196/index.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
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/PR196/introduction.html b/previews/PR196/introduction.html index 48e29c2ba..cd9b2ce4f 100644 --- a/previews/PR196/introduction.html +++ b/previews/PR196/introduction.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
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/PR196/source/GeometryOps.html b/previews/PR196/source/GeometryOps.html index 94a8b92fa..9518e5806 100644 --- a/previews/PR196/source/GeometryOps.html +++ b/previews/PR196/source/GeometryOps.html @@ -8,10 +8,10 @@ - + - + @@ -92,7 +92,7 @@ end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR196/source/methods/angles.html b/previews/PR196/source/methods/angles.html index 5011abb7e..d6cdf29be 100644 --- a/previews/PR196/source/methods/angles.html +++ b/previews/PR196/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/PR196/source/methods/area.html b/previews/PR196/source/methods/area.html index 953af2644..5c34c96be 100644 --- a/previews/PR196/source/methods/area.html +++ b/previews/PR196/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/PR196/source/methods/barycentric.html b/previews/PR196/source/methods/barycentric.html index 9cd39b524..90b77bb35 100644 --- a/previews/PR196/source/methods/barycentric.html +++ b/previews/PR196/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/PR196/source/methods/buffer.html b/previews/PR196/source/methods/buffer.html index a6b891cc3..48eb0e8bb 100644 --- a/previews/PR196/source/methods/buffer.html +++ b/previews/PR196/source/methods/buffer.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/methods/centroid.html b/previews/PR196/source/methods/centroid.html index 08c061c11..1f18d297f 100644 --- a/previews/PR196/source/methods/centroid.html +++ b/previews/PR196/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/PR196/source/methods/clipping/clipping_processor.html b/previews/PR196/source/methods/clipping/clipping_processor.html index c73958a8c..a92614952 100644 --- a/previews/PR196/source/methods/clipping/clipping_processor.html +++ b/previews/PR196/source/methods/clipping/clipping_processor.html @@ -8,10 +8,10 @@ - + - + @@ -525,7 +525,7 @@ end return end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR196/source/methods/clipping/coverage.html b/previews/PR196/source/methods/clipping/coverage.html index be8fae6b6..8ff2f75b4 100644 --- a/previews/PR196/source/methods/clipping/coverage.html +++ b/previews/PR196/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/PR196/source/methods/clipping/cut.html b/previews/PR196/source/methods/clipping/cut.html index 0db95a66d..58612b7ee 100644 --- a/previews/PR196/source/methods/clipping/cut.html +++ b/previews/PR196/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/PR196/source/methods/clipping/difference.html b/previews/PR196/source/methods/clipping/difference.html index b2311e803..c066a53c2 100644 --- a/previews/PR196/source/methods/clipping/difference.html +++ b/previews/PR196/source/methods/clipping/difference.html @@ -8,10 +8,10 @@ - + - + @@ -184,7 +184,7 @@ ) return nothing end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR196/source/methods/clipping/intersection.html b/previews/PR196/source/methods/clipping/intersection.html index 66f9b08bd..c831798a5 100644 --- a/previews/PR196/source/methods/clipping/intersection.html +++ b/previews/PR196/source/methods/clipping/intersection.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/methods/clipping/predicates.html b/previews/PR196/source/methods/clipping/predicates.html index 99160ea9d..a02124a22 100644 --- a/previews/PR196/source/methods/clipping/predicates.html +++ b/previews/PR196/source/methods/clipping/predicates.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/methods/clipping/union.html b/previews/PR196/source/methods/clipping/union.html index f30e6a8a3..095cecd10 100644 --- a/previews/PR196/source/methods/clipping/union.html +++ b/previews/PR196/source/methods/clipping/union.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/methods/convex_hull.html b/previews/PR196/source/methods/convex_hull.html index 6cb277929..dc795ff80 100644 --- a/previews/PR196/source/methods/convex_hull.html +++ b/previews/PR196/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/PR196/source/methods/distance.html b/previews/PR196/source/methods/distance.html index efe2eedbe..3cd6d1591 100644 --- a/previews/PR196/source/methods/distance.html +++ b/previews/PR196/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/PR196/source/methods/equals.html b/previews/PR196/source/methods/equals.html index e6ec6d58c..43a94cd14 100644 --- a/previews/PR196/source/methods/equals.html +++ b/previews/PR196/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/PR196/source/methods/geom_relations/contains.html b/previews/PR196/source/methods/geom_relations/contains.html index e926db77b..75ad65c19 100644 --- a/previews/PR196/source/methods/geom_relations/contains.html +++ b/previews/PR196/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/PR196/source/methods/geom_relations/coveredby.html b/previews/PR196/source/methods/geom_relations/coveredby.html index e6d3176b5..a5d2140cd 100644 --- a/previews/PR196/source/methods/geom_relations/coveredby.html +++ b/previews/PR196/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/PR196/source/methods/geom_relations/covers.html b/previews/PR196/source/methods/geom_relations/covers.html index 00be91697..f02063a83 100644 --- a/previews/PR196/source/methods/geom_relations/covers.html +++ b/previews/PR196/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/PR196/source/methods/geom_relations/crosses.html b/previews/PR196/source/methods/geom_relations/crosses.html index a39f7c526..251e931c0 100644 --- a/previews/PR196/source/methods/geom_relations/crosses.html +++ b/previews/PR196/source/methods/geom_relations/crosses.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/methods/geom_relations/disjoint.html b/previews/PR196/source/methods/geom_relations/disjoint.html index 55e36a46c..a24c692ac 100644 --- a/previews/PR196/source/methods/geom_relations/disjoint.html +++ b/previews/PR196/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/PR196/source/methods/geom_relations/geom_geom_processors.html b/previews/PR196/source/methods/geom_relations/geom_geom_processors.html index c2dc6390a..6d3d3408b 100644 --- a/previews/PR196/source/methods/geom_relations/geom_geom_processors.html +++ b/previews/PR196/source/methods/geom_relations/geom_geom_processors.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/methods/geom_relations/intersects.html b/previews/PR196/source/methods/geom_relations/intersects.html index c820b4dd0..afa051ef5 100644 --- a/previews/PR196/source/methods/geom_relations/intersects.html +++ b/previews/PR196/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/PR196/source/methods/geom_relations/overlaps.html b/previews/PR196/source/methods/geom_relations/overlaps.html index 378b7fdc6..9b1b58b9f 100644 --- a/previews/PR196/source/methods/geom_relations/overlaps.html +++ b/previews/PR196/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/PR196/source/methods/geom_relations/touches.html b/previews/PR196/source/methods/geom_relations/touches.html index bf4f2e2fe..ddf0d0fa9 100644 --- a/previews/PR196/source/methods/geom_relations/touches.html +++ b/previews/PR196/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/PR196/source/methods/geom_relations/within.html b/previews/PR196/source/methods/geom_relations/within.html index cb43afefd..a662faeb0 100644 --- a/previews/PR196/source/methods/geom_relations/within.html +++ b/previews/PR196/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/PR196/source/methods/orientation.html b/previews/PR196/source/methods/orientation.html index 13a46c594..b2957eb7e 100644 --- a/previews/PR196/source/methods/orientation.html +++ b/previews/PR196/source/methods/orientation.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/methods/polygonize.html b/previews/PR196/source/methods/polygonize.html index 538b085e6..3c58da653 100644 --- a/previews/PR196/source/methods/polygonize.html +++ b/previews/PR196/source/methods/polygonize.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/not_implemented_yet.html b/previews/PR196/source/not_implemented_yet.html index 2624dc1b4..a976cd7d6 100644 --- a/previews/PR196/source/not_implemented_yet.html +++ b/previews/PR196/source/not_implemented_yet.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/primitives.html b/previews/PR196/source/primitives.html index 94005e3ff..d52bbe8ec 100644 --- a/previews/PR196/source/primitives.html +++ b/previews/PR196/source/primitives.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/transformations/correction/closed_ring.html b/previews/PR196/source/transformations/correction/closed_ring.html index 8ace2dc50..8907db7a8 100644 --- a/previews/PR196/source/transformations/correction/closed_ring.html +++ b/previews/PR196/source/transformations/correction/closed_ring.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/transformations/correction/geometry_correction.html b/previews/PR196/source/transformations/correction/geometry_correction.html index 49706e316..0b188bc85 100644 --- a/previews/PR196/source/transformations/correction/geometry_correction.html +++ b/previews/PR196/source/transformations/correction/geometry_correction.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/transformations/correction/intersecting_polygons.html b/previews/PR196/source/transformations/correction/intersecting_polygons.html index e4ebde552..8f2844e42 100644 --- a/previews/PR196/source/transformations/correction/intersecting_polygons.html +++ b/previews/PR196/source/transformations/correction/intersecting_polygons.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/transformations/extent.html b/previews/PR196/source/transformations/extent.html index 1388b9f67..36ccea12f 100644 --- a/previews/PR196/source/transformations/extent.html +++ b/previews/PR196/source/transformations/extent.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/transformations/flip.html b/previews/PR196/source/transformations/flip.html index 347edd57b..1849ee7cf 100644 --- a/previews/PR196/source/transformations/flip.html +++ b/previews/PR196/source/transformations/flip.html @@ -8,10 +8,10 @@ - + - + @@ -40,7 +40,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR196/source/transformations/reproject.html b/previews/PR196/source/transformations/reproject.html index f1a6cc6bc..f19bc8c4f 100644 --- a/previews/PR196/source/transformations/reproject.html +++ b/previews/PR196/source/transformations/reproject.html @@ -8,10 +8,10 @@ - + - + @@ -59,7 +59,7 @@ nothing end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR196/source/transformations/segmentize.html b/previews/PR196/source/transformations/segmentize.html index b02298187..bab06816a 100644 --- a/previews/PR196/source/transformations/segmentize.html +++ b/previews/PR196/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)
 
@@ -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/PR196/source/transformations/simplify.html b/previews/PR196/source/transformations/simplify.html index c7b55696e..48001bd8b 100644 --- a/previews/PR196/source/transformations/simplify.html +++ b/previews/PR196/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/PR196/source/transformations/transform.html b/previews/PR196/source/transformations/transform.html index 81d947ce4..608e0148f 100644 --- a/previews/PR196/source/transformations/transform.html +++ b/previews/PR196/source/transformations/transform.html @@ -8,10 +8,10 @@ - + - + @@ -73,7 +73,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR196/source/transformations/tuples.html b/previews/PR196/source/transformations/tuples.html index 6b9232c47..328a1ee62 100644 --- a/previews/PR196/source/transformations/tuples.html +++ b/previews/PR196/source/transformations/tuples.html @@ -8,10 +8,10 @@ - + - + @@ -37,7 +37,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR196/source/types.html b/previews/PR196/source/types.html index 9d8f47070..36f340d1f 100644 --- a/previews/PR196/source/types.html +++ b/previews/PR196/source/types.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/source/utils.html b/previews/PR196/source/utils.html index 648cf3aac..338fdeb2a 100644 --- a/previews/PR196/source/utils.html +++ b/previews/PR196/source/utils.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR196/tutorials/creating_geometry.html b/previews/PR196/tutorials/creating_geometry.html index 8a7d5addc..90a64ab73 100644 --- a/previews/PR196/tutorials/creating_geometry.html +++ b/previews/PR196/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/PR196/tutorials/geodesic_paths.html b/previews/PR196/tutorials/geodesic_paths.html index 7d5d8407a..5faee39dd 100644 --- a/previews/PR196/tutorials/geodesic_paths.html +++ b/previews/PR196/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/PR196/tutorials/spatial_joins.html b/previews/PR196/tutorials/spatial_joins.html index 39ff666c8..28d8528ac 100644 --- a/previews/PR196/tutorials/spatial_joins.html +++ b/previews/PR196/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