diff --git a/previews/PR169/404.html b/previews/PR169/404.html index 94d8cf11c..85789e744 100644 --- a/previews/PR169/404.html +++ b/previews/PR169/404.html @@ -8,7 +8,7 @@ - + @@ -16,7 +16,7 @@
- + \ No newline at end of file diff --git a/previews/PR169/api.html b/previews/PR169/api.html index 3796ccc36..07b543f37 100644 --- a/previews/PR169/api.html +++ b/previews/PR169/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/PR169/assets/bfrkaqy._0R9BbFk.png b/previews/PR169/assets/aawyhhs._0R9BbFk.png
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rename from previews/PR169/assets/bfrkaqy._0R9BbFk.png
rename to previews/PR169/assets/aawyhhs._0R9BbFk.png
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index 000000000..99ec2b3ee
Binary files /dev/null and b/previews/PR169/assets/aminatc.09qSbkT6.png differ
diff --git a/previews/PR169/assets/api.md.f3e8s1hi.js b/previews/PR169/assets/api.md.DAveZ5_s.js
similarity index 99%
rename from previews/PR169/assets/api.md.f3e8s1hi.js
rename to previews/PR169/assets/api.md.DAveZ5_s.js
index 1cf96cd11..682957ec3 100644
--- a/previews/PR169/assets/api.md.f3e8s1hi.js
+++ b/previews/PR169/assets/api.md.DAveZ5_s.js
@@ -1,4 +1,4 @@
-import{_ as n,c as e,j as s,a,a6 as i,o as t}from"./chunks/framework.CXV__M-i.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,a6 as i,o as t}from"./chunks/framework.CXV__M-i.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/PR169/assets/api.md.f3e8s1hi.lean.js b/previews/PR169/assets/api.md.DAveZ5_s.lean.js
similarity index 100%
rename from previews/PR169/assets/api.md.f3e8s1hi.lean.js
rename to previews/PR169/assets/api.md.DAveZ5_s.lean.js
diff --git a/previews/PR169/assets/app.D47vhfhT.js b/previews/PR169/assets/app.B9HwcQij.js
similarity index 95%
rename from previews/PR169/assets/app.D47vhfhT.js
rename to previews/PR169/assets/app.B9HwcQij.js
index f0f4ccb66..33899760c 100644
--- a/previews/PR169/assets/app.D47vhfhT.js
+++ b/previews/PR169/assets/app.B9HwcQij.js
@@ -1 +1 @@
-import{U as o,a7 as p,a8 as u,a9 as l,aa as c,ab as f,ac as d,ad as m,ae as h,af as g,ag as A,d as P,u as v,y,x as w,ah as C,ai as R,aj as b,a5 as E}from"./chunks/framework.CXV__M-i.js";import{R as S}from"./chunks/theme.B4vYWld1.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$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&_().then(({app:e,router:a,data:t})=>{a.go().then(()=>{p(a.route,t.site),e.mount("#app")})});export{_ as createApp};
+import{U as o,a7 as p,a8 as u,a9 as l,aa as c,ab as f,ac as d,ad as m,ae as h,af as g,ag as A,d as P,u as v,y,x as w,ah as C,ai as R,aj as b,a5 as E}from"./chunks/framework.CXV__M-i.js";import{R as S}from"./chunks/theme.2jaTLkNF.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(S),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return y(()=>{w(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),R(),b(),s.setup&&s.setup(),()=>E(s.Layout)}});async function _(){globalThis.__VITEPRESS__=!0;const e=x(),a=j();a.provide(u,e);const t=l(e.route);return a.provide(c,t),a.component("Content",f),a.component("ClientOnly",d),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:m}),{app:a,router:e,data:t}}function j(){return h(T)}function x(){let e=o,a;return g(t=>{let n=A(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&_().then(({app:e,router:a,data:t})=>{a.go().then(()=>{p(a.route,t.site),e.mount("#app")})});export{_ as createApp};
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similarity index 100%
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new file mode 100644
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diff --git a/previews/PR169/assets/juvibtg.Dig-DWOQ.png b/previews/PR169/assets/cuxzgsd.Dig-DWOQ.png
similarity index 100%
rename from previews/PR169/assets/juvibtg.Dig-DWOQ.png
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rename from previews/PR169/assets/nnuljte.CgiryX2p.png
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rename from previews/PR169/assets/pjdrydk.DC3TvBOO.png
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diff --git a/previews/PR169/assets/experiments_predicates.md.6jQzlyG2.js b/previews/PR169/assets/experiments_predicates.md.CewQL96D.js
similarity index 99%
rename from previews/PR169/assets/experiments_predicates.md.6jQzlyG2.js
rename to previews/PR169/assets/experiments_predicates.md.CewQL96D.js
index ba516397f..15f9195db 100644
--- a/previews/PR169/assets/experiments_predicates.md.6jQzlyG2.js
+++ b/previews/PR169/assets/experiments_predicates.md.CewQL96D.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.CXV__M-i.js";const k="/GeometryOps.jl/previews/PR169/assets/ayowruv.Des6WERb.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h(`
Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
+import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.CXV__M-i.js";const k="/GeometryOps.jl/previews/PR169/assets/ontlabg.C2sEkp5n.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/PR169/assets/experiments_predicates.md.6jQzlyG2.lean.js b/previews/PR169/assets/experiments_predicates.md.CewQL96D.lean.js
similarity index 74%
rename from previews/PR169/assets/experiments_predicates.md.6jQzlyG2.lean.js
rename to previews/PR169/assets/experiments_predicates.md.CewQL96D.lean.js
index 402689276..3231e8691 100644
--- a/previews/PR169/assets/experiments_predicates.md.6jQzlyG2.lean.js
+++ b/previews/PR169/assets/experiments_predicates.md.CewQL96D.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.CXV__M-i.js";const k="/GeometryOps.jl/previews/PR169/assets/ayowruv.Des6WERb.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h("",10),l=[p];function t(E,e,r,d,g,y){return a(),i("div",null,l)}const A=s(n,[["render",t]]);export{C as __pageData,A as default};
+import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.CXV__M-i.js";const k="/GeometryOps.jl/previews/PR169/assets/ontlabg.C2sEkp5n.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h("",10),l=[p];function t(E,e,r,d,g,y){return a(),i("div",null,l)}const A=s(n,[["render",t]]);export{C as __pageData,A as default};
diff --git a/previews/PR169/assets/lmmgxcz.Bglvb-jp.png b/previews/PR169/assets/gkolncw.Bglvb-jp.png
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diff --git a/previews/PR169/assets/howto_unary_union.md.Df56Pagc.js b/previews/PR169/assets/howto_unary_union.md.C1rMdkuw.js
similarity index 68%
rename from previews/PR169/assets/howto_unary_union.md.Df56Pagc.js
rename to previews/PR169/assets/howto_unary_union.md.C1rMdkuw.js
index ce9dd2470..2c30e6c07 100644
--- a/previews/PR169/assets/howto_unary_union.md.Df56Pagc.js
+++ b/previews/PR169/assets/howto_unary_union.md.C1rMdkuw.js
@@ -1,4 +1,4 @@
-import{_ as a,c as s,o as n,a6 as e}from"./chunks/framework.CXV__M-i.js";const k=JSON.parse('{"title":"Unary union","description":"","frontmatter":{},"headers":[],"relativePath":"howto/unary_union.md","filePath":"howto/unary_union.md","lastUpdated":null}'),i={name:"howto/unary_union.md"},t=e(`
Unary union ​
julia
using Makie, GeoMakie
+import{_ as s,c as a,o as n,a6 as e}from"./chunks/framework.CXV__M-i.js";const m=JSON.parse('{"title":"Unary union","description":"","frontmatter":{},"headers":[],"relativePath":"howto/unary_union.md","filePath":"howto/unary_union.md","lastUpdated":null}'),i={name:"howto/unary_union.md"},t=e(`
Unary union ​
julia
using Makie, GeoMakie
 import GeometryOps as GO, GeoInterface as GI
Furst, we get the data. These are watersheds in Vancouver Island, Canada - the very same used in the GEOS benchmarks.
Since the file is zipped, we have to unzip it, which is why this code is a bit longer than it otherwise might be.
@example
wkt_gz_file = download("https://rawcdn.githack.com/pramsey/geos-performance/b54d92a678e2174059d1b0ff233e275e4bd02084/data/watersheds.wkt.gz", joinpath(tempdir(), "watersheds.wkt.gz"))
 using GZip
 handle = GZip.open(wkt_gz_file)
@@ -9,7 +9,11 @@ import{_ as a,c as s,o as n,a6 as e}from"./chunks/framework.CXV__M-i.js";const k
 
 geoms = GO.tuples(wkt)
 
-plot(geoms; color = 1:length(geoms), axis = (; aspect = DataAspect()))
Now that we have the geometries, we reduce over the vector, performing unions along the way.
@example
final_multipoly = reduce(
+plot(geoms; color = 1:length(geoms), axis = (; aspect = DataAspect()))
Now that we have the geometries, we reduce over the vector, performing unions along the way.
@example
@time final_multipoly = reduce(
     (x, y) -> GO.union(x, y; target = GI.MultiPolygonTrait, fix = GO.UnionIntersectingPolygons()), 
-    geoms
-)
`,7),p=[t];function l(o,h,r,c,d,u){return n(),s("div",null,p)}const m=a(i,[["render",l]]);export{k as __pageData,m as default};
+    GO.fix(geoms)
+)
@example
fixed_geoms = GO.buffer(geoms, 0)
+@time final_multipoly = reduce(
+    (x, y) -> GO.union(x, y; target = GI.MultiPolygonTrait, fix = GO.UnionIntersectingPolygons()), 
+    fixed_geoms
+)
@example
@time GO.fix(GI.MultiPolygon(fixed_geoms); corrections = (GO.UnionIntersectingPolygons(),))
`,9),p=[t];function l(o,c,h,r,d,g){return n(),a("div",null,p)}const k=s(i,[["render",l]]);export{m as __pageData,k as default};
diff --git a/previews/PR169/assets/howto_unary_union.md.C1rMdkuw.lean.js b/previews/PR169/assets/howto_unary_union.md.C1rMdkuw.lean.js
new file mode 100644
index 000000000..1453870c3
--- /dev/null
+++ b/previews/PR169/assets/howto_unary_union.md.C1rMdkuw.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as a,o as n,a6 as e}from"./chunks/framework.CXV__M-i.js";const m=JSON.parse('{"title":"Unary union","description":"","frontmatter":{},"headers":[],"relativePath":"howto/unary_union.md","filePath":"howto/unary_union.md","lastUpdated":null}'),i={name:"howto/unary_union.md"},t=e("",9),p=[t];function l(o,c,h,r,d,g){return n(),a("div",null,p)}const k=s(i,[["render",l]]);export{m as __pageData,k as default};
diff --git a/previews/PR169/assets/howto_unary_union.md.Df56Pagc.lean.js b/previews/PR169/assets/howto_unary_union.md.Df56Pagc.lean.js
deleted file mode 100644
index 1ff49a764..000000000
--- a/previews/PR169/assets/howto_unary_union.md.Df56Pagc.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as a,c as s,o as n,a6 as e}from"./chunks/framework.CXV__M-i.js";const k=JSON.parse('{"title":"Unary union","description":"","frontmatter":{},"headers":[],"relativePath":"howto/unary_union.md","filePath":"howto/unary_union.md","lastUpdated":null}'),i={name:"howto/unary_union.md"},t=e("",7),p=[t];function l(o,h,r,c,d,u){return n(),s("div",null,p)}const m=a(i,[["render",l]]);export{k as __pageData,m as default};
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diff --git a/previews/PR169/assets/source_methods_angles.md.DtH8L23a.js b/previews/PR169/assets/source_methods_angles.md.C7WWJ3PB.js
similarity index 99%
rename from previews/PR169/assets/source_methods_angles.md.DtH8L23a.js
rename to previews/PR169/assets/source_methods_angles.md.C7WWJ3PB.js
index 2362e7abe..b9392b57c 100644
--- a/previews/PR169/assets/source_methods_angles.md.DtH8L23a.js
+++ b/previews/PR169/assets/source_methods_angles.md.C7WWJ3PB.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/juvibtg.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n(`
Angles ​
julia
export angles
What is angles? ​
Angles are the angles formed by a given geometries line segments, if it has line segments.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/cuxzgsd.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n(`
Angles ​
julia
export angles
What is angles? ​
Angles are the angles formed by a given geometries line segments, if it has line segments.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie, CairoMakie
 
diff --git a/previews/PR169/assets/source_methods_angles.md.DtH8L23a.lean.js b/previews/PR169/assets/source_methods_angles.md.C7WWJ3PB.lean.js
similarity index 87%
rename from previews/PR169/assets/source_methods_angles.md.DtH8L23a.lean.js
rename to previews/PR169/assets/source_methods_angles.md.C7WWJ3PB.lean.js
index eeb4c442f..191dcdaad 100644
--- a/previews/PR169/assets/source_methods_angles.md.DtH8L23a.lean.js
+++ b/previews/PR169/assets/source_methods_angles.md.C7WWJ3PB.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/juvibtg.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n("",27),t=[k];function p(e,r,E,g,d,y){return a(),i("div",null,t)}const c=s(l,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/cuxzgsd.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n("",27),t=[k];function p(e,r,E,g,d,y){return a(),i("div",null,t)}const c=s(l,[["render",p]]);export{o as __pageData,c as default};
diff --git a/previews/PR169/assets/source_methods_area.md.Bvb5UeIO.js b/previews/PR169/assets/source_methods_area.md.CmE6wsZJ.js
similarity index 99%
rename from previews/PR169/assets/source_methods_area.md.Bvb5UeIO.js
rename to previews/PR169/assets/source_methods_area.md.CmE6wsZJ.js
index bc97bb464..d185e6691 100644
--- a/previews/PR169/assets/source_methods_area.md.Bvb5UeIO.js
+++ b/previews/PR169/assets/source_methods_area.md.CmE6wsZJ.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/juvibtg.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR169/assets/lokfglb.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n(`
Area and signed area ​
julia
export area, signed_area
What is area? What is signed area? ​
Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/cuxzgsd.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR169/assets/yqqwdwy.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n(`
Area and signed area ​
julia
export area, signed_area
What is area? What is signed area? ​
Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_area.md.Bvb5UeIO.lean.js b/previews/PR169/assets/source_methods_area.md.CmE6wsZJ.lean.js
similarity index 77%
rename from previews/PR169/assets/source_methods_area.md.Bvb5UeIO.lean.js
rename to previews/PR169/assets/source_methods_area.md.CmE6wsZJ.lean.js
index acb637a46..7fd7dd3f7 100644
--- a/previews/PR169/assets/source_methods_area.md.Bvb5UeIO.lean.js
+++ b/previews/PR169/assets/source_methods_area.md.CmE6wsZJ.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/juvibtg.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR169/assets/lokfglb.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n("",40),p=[l];function k(r,d,g,E,o,y){return a(),i("div",null,p)}const C=s(e,[["render",k]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/cuxzgsd.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR169/assets/yqqwdwy.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n("",40),p=[l];function k(r,d,g,E,o,y){return a(),i("div",null,p)}const C=s(e,[["render",k]]);export{c as __pageData,C as default};
diff --git a/previews/PR169/assets/source_methods_centroid.md.DnIzdiCd.js b/previews/PR169/assets/source_methods_centroid.md.BtMb9Txi.js
similarity index 99%
rename from previews/PR169/assets/source_methods_centroid.md.DnIzdiCd.js
rename to previews/PR169/assets/source_methods_centroid.md.BtMb9Txi.js
index 272dfac2c..98abbe104 100644
--- a/previews/PR169/assets/source_methods_centroid.md.DnIzdiCd.js
+++ b/previews/PR169/assets/source_methods_centroid.md.BtMb9Txi.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/hluonpa.BD0hVfse.png",t="/GeometryOps.jl/previews/PR169/assets/wwabvkb.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n(`
Centroid ​
julia
export centroid, centroid_and_length, centroid_and_area
What is the centroid? ​
The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.
Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge's by their 'area components'.
To provide an example, consider this concave polygon in the shape of a 'C':
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/tbjhkls.BD0hVfse.png",t="/GeometryOps.jl/previews/PR169/assets/bbquxac.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},l=n(`
Centroid ​
julia
export centroid, centroid_and_length, centroid_and_area
What is the centroid? ​
The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.
Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge's by their 'area components'.
To provide an example, consider this concave polygon in the shape of a 'C':
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -90,4 +90,4 @@ import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h
     x = (x1 * area1 + x2 * area2) / area
     y = (y1 * area1 + y2 * area2) / area
     return (x, y), area
-end
This page was generated using Literate.jl.
`,57),l=[p];function e(r,E,d,g,y,o){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{F as __pageData,C as default};
+end
This page was generated using Literate.jl.
`,57),p=[l];function e(r,E,d,g,y,o){return a(),i("div",null,p)}const C=s(k,[["render",e]]);export{F as __pageData,C as default};
diff --git a/previews/PR169/assets/source_methods_centroid.md.DnIzdiCd.lean.js b/previews/PR169/assets/source_methods_centroid.md.BtMb9Txi.lean.js
similarity index 54%
rename from previews/PR169/assets/source_methods_centroid.md.DnIzdiCd.lean.js
rename to previews/PR169/assets/source_methods_centroid.md.BtMb9Txi.lean.js
index 840048d62..05b37c45a 100644
--- a/previews/PR169/assets/source_methods_centroid.md.DnIzdiCd.lean.js
+++ b/previews/PR169/assets/source_methods_centroid.md.BtMb9Txi.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/hluonpa.BD0hVfse.png",t="/GeometryOps.jl/previews/PR169/assets/wwabvkb.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n("",57),l=[p];function e(r,E,d,g,y,o){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{F as __pageData,C as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/tbjhkls.BD0hVfse.png",t="/GeometryOps.jl/previews/PR169/assets/bbquxac.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},l=n("",57),p=[l];function e(r,E,d,g,y,o){return a(),i("div",null,p)}const C=s(k,[["render",e]]);export{F as __pageData,C as default};
diff --git a/previews/PR169/assets/source_methods_clipping_coverage.md.C4J4lRrF.js b/previews/PR169/assets/source_methods_clipping_coverage.md.DJxlqpRk.js
similarity index 99%
rename from previews/PR169/assets/source_methods_clipping_coverage.md.C4J4lRrF.js
rename to previews/PR169/assets/source_methods_clipping_coverage.md.DJxlqpRk.js
index 6185957c7..8de410aba 100644
--- a/previews/PR169/assets/source_methods_clipping_coverage.md.C4J4lRrF.js
+++ b/previews/PR169/assets/source_methods_clipping_coverage.md.DJxlqpRk.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/gelhort.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n(`
julia
export coverage
What is coverage? ​
Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordiantes of that bounding box, or an Extent containing that information.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/bcptzyw.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n(`
julia
export coverage
What is coverage? ​
Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordiantes of that bounding box, or an Extent containing that information.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_clipping_coverage.md.C4J4lRrF.lean.js b/previews/PR169/assets/source_methods_clipping_coverage.md.DJxlqpRk.lean.js
similarity index 87%
rename from previews/PR169/assets/source_methods_clipping_coverage.md.C4J4lRrF.lean.js
rename to previews/PR169/assets/source_methods_clipping_coverage.md.DJxlqpRk.lean.js
index 20abe1735..8b9715204 100644
--- a/previews/PR169/assets/source_methods_clipping_coverage.md.C4J4lRrF.lean.js
+++ b/previews/PR169/assets/source_methods_clipping_coverage.md.DJxlqpRk.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/gelhort.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n("",58),p=[k];function t(e,E,r,d,g,y){return a(),i("div",null,p)}const o=s(l,[["render",t]]);export{c as __pageData,o as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/bcptzyw.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n("",58),p=[k];function t(e,E,r,d,g,y){return a(),i("div",null,p)}const o=s(l,[["render",t]]);export{c as __pageData,o as default};
diff --git a/previews/PR169/assets/source_methods_clipping_cut.md.D7Kf3Qwn.js b/previews/PR169/assets/source_methods_clipping_cut.md.Dv5i5NBi.js
similarity index 99%
rename from previews/PR169/assets/source_methods_clipping_cut.md.D7Kf3Qwn.js
rename to previews/PR169/assets/source_methods_clipping_cut.md.Dv5i5NBi.js
index 5cd2f6c90..4fe3dbac0 100644
--- a/previews/PR169/assets/source_methods_clipping_cut.md.D7Kf3Qwn.js
+++ b/previews/PR169/assets/source_methods_clipping_cut.md.Dv5i5NBi.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/zfsecgm.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n(`
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/scyoklo.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n(`
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
 using CairoMakie
 using Makie
 
diff --git a/previews/PR169/assets/source_methods_clipping_cut.md.D7Kf3Qwn.lean.js b/previews/PR169/assets/source_methods_clipping_cut.md.Dv5i5NBi.lean.js
similarity index 87%
rename from previews/PR169/assets/source_methods_clipping_cut.md.D7Kf3Qwn.lean.js
rename to previews/PR169/assets/source_methods_clipping_cut.md.Dv5i5NBi.lean.js
index 5d0981024..989b9a51b 100644
--- a/previews/PR169/assets/source_methods_clipping_cut.md.D7Kf3Qwn.lean.js
+++ b/previews/PR169/assets/source_methods_clipping_cut.md.Dv5i5NBi.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/zfsecgm.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n("",34),p=[l];function k(e,r,E,d,g,y){return a(),i("div",null,p)}const F=s(t,[["render",k]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/scyoklo.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n("",34),p=[l];function k(e,r,E,d,g,y){return a(),i("div",null,p)}const F=s(t,[["render",k]]);export{c as __pageData,F as default};
diff --git a/previews/PR169/assets/source_methods_clipping_union.md.BPxOgPO6.js b/previews/PR169/assets/source_methods_clipping_union.md.UH-J_XVE.js
similarity index 89%
rename from previews/PR169/assets/source_methods_clipping_union.md.BPxOgPO6.js
rename to previews/PR169/assets/source_methods_clipping_union.md.UH-J_XVE.js
index 782764759..98dd764d1 100644
--- a/previews/PR169/assets/source_methods_clipping_union.md.BPxOgPO6.js
+++ b/previews/PR169/assets/source_methods_clipping_union.md.UH-J_XVE.js
@@ -70,6 +70,20 @@ import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const o
         _add_union_holes!(polys, a_in_b, b_in_a, poly_a, poly_b; exact)
     end
Remove uneeded collinear points on same edge
julia
    _remove_collinear_points!(polys, [false], poly_a, poly_b)
     return polys
+end
+
+function _union(
+    ::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.PolygonTrait, poly_b;
+    exact, kwargs...,
+) where T
+    return GI.MultiPolygon(_union(
+        TraitTarget(GI.PolygonTrait()), T,
+        GI.trait(poly_a), poly_a,
+        GI.trait(poly_b), poly_b;
+        exact, kwargs...,
+    ))
 end
Helper functions for Unions with Greiner and Hormann Polygon Clipping ​
julia
#= When marking the crossing status of a delayed crossing, the chain start point is crossing
 when the start point is a entry point and is a bouncing point when the start point is an
 exit point. The end of the chain has the opposite crossing / bouncing status. =#
@@ -208,6 +222,19 @@ import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const o
     end
     return polys
 end
+function _union(
+    target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.MultiPolygonTrait, multipoly_b;
+    fix_multipoly = UnionIntersectingPolygons(), kwargs...,
+) where T
+    return GI.MultiPolygon(_union(
+        TraitTarget(GI.PolygonTrait()), T,
+        GI.trait(poly_a), poly_a,
+        GI.trait(multipoly_b), multipoly_b;
+        fix_multipoly, kwargs...,
+    ))
+end
 
 #= Multipolygon with polygon union is equivalent to taking the union of the poylgon with the
 multipolygon and thus simply switches the order of operations and calls the above method. =#
@@ -218,6 +245,13 @@ import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const o
     kwargs...,
 ) where T = union(poly_b, multipoly_a; target, kwargs...)
 
+_union(
+    target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.MultiPolygonTrait, multipoly_a,
+    ::GI.PolygonTrait, poly_b;
+    kwargs...,
+) where T = union(poly_b, multipoly_a; target, kwargs...)
+
 #= Multipolygon with multipolygon union - note that all of the sub-polygons of \`multipoly_a\`
 and the sub-polygons of \`multipoly_b\` are included and combined together where there are
 intersections. Unless specified with \`fix_multipoly = nothing\`, \`multipolygon_b\` will be
@@ -261,4 +295,4 @@ import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const o
 ) where {Target,T}
     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.
`,28),p=[h];function t(k,e,r,E,g,y){return a(),i("div",null,p)}const F=s(l,[["render",t]]);export{o as __pageData,F as default};
+end
This page was generated using Literate.jl.
`,28),p=[h];function t(k,e,r,E,y,g){return a(),i("div",null,p)}const F=s(l,[["render",t]]);export{o as __pageData,F as default};
diff --git a/previews/PR169/assets/source_methods_clipping_union.md.BPxOgPO6.lean.js b/previews/PR169/assets/source_methods_clipping_union.md.UH-J_XVE.lean.js
similarity index 86%
rename from previews/PR169/assets/source_methods_clipping_union.md.BPxOgPO6.lean.js
rename to previews/PR169/assets/source_methods_clipping_union.md.UH-J_XVE.lean.js
index a95f88a74..d656c0f10 100644
--- a/previews/PR169/assets/source_methods_clipping_union.md.BPxOgPO6.lean.js
+++ b/previews/PR169/assets/source_methods_clipping_union.md.UH-J_XVE.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n("",28),p=[h];function t(k,e,r,E,g,y){return a(),i("div",null,p)}const F=s(l,[["render",t]]);export{o as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n("",28),p=[h];function t(k,e,r,E,y,g){return a(),i("div",null,p)}const F=s(l,[["render",t]]);export{o as __pageData,F as default};
diff --git a/previews/PR169/assets/source_methods_distance.md.CdvqbMG5.js b/previews/PR169/assets/source_methods_distance.md.Bp5im3PS.js
similarity index 99%
rename from previews/PR169/assets/source_methods_distance.md.CdvqbMG5.js
rename to previews/PR169/assets/source_methods_distance.md.Bp5im3PS.js
index 84090cfbd..ce760457b 100644
--- a/previews/PR169/assets/source_methods_distance.md.CdvqbMG5.js
+++ b/previews/PR169/assets/source_methods_distance.md.Bp5im3PS.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/owirazg.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR169/assets/qpfxitx.BwdbZIFa.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n(`
Distance and signed distance ​
julia
export distance, signed_distance
What is distance? What is signed distance? ​
Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all "non-filled" geometries, like curves, the distance will either be postitive or 0.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/cgulcdv.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR169/assets/qemcrdo.BwdbZIFa.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n(`
Distance and signed distance ​
julia
export distance, signed_distance
What is distance? What is signed distance? ​
Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all "non-filled" geometries, like curves, the distance will either be postitive or 0.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_distance.md.CdvqbMG5.lean.js b/previews/PR169/assets/source_methods_distance.md.Bp5im3PS.lean.js
similarity index 78%
rename from previews/PR169/assets/source_methods_distance.md.CdvqbMG5.lean.js
rename to previews/PR169/assets/source_methods_distance.md.Bp5im3PS.lean.js
index c7d3a99b8..c0d3025ae 100644
--- a/previews/PR169/assets/source_methods_distance.md.CdvqbMG5.lean.js
+++ b/previews/PR169/assets/source_methods_distance.md.Bp5im3PS.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/owirazg.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR169/assets/qpfxitx.BwdbZIFa.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n("",54),l=[p];function e(d,E,r,g,y,F){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/cgulcdv.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR169/assets/qemcrdo.BwdbZIFa.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n("",54),l=[p];function e(d,E,r,g,y,F){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{c as __pageData,C as default};
diff --git a/previews/PR169/assets/source_methods_equals.md.xIF1y7Id.js b/previews/PR169/assets/source_methods_equals.md.CuFqzQhq.js
similarity index 99%
rename from previews/PR169/assets/source_methods_equals.md.xIF1y7Id.js
rename to previews/PR169/assets/source_methods_equals.md.CuFqzQhq.js
index 7c766f363..e1c1f419a 100644
--- a/previews/PR169/assets/source_methods_equals.md.xIF1y7Id.js
+++ b/previews/PR169/assets/source_methods_equals.md.CuFqzQhq.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const l="/GeometryOps.jl/previews/PR169/assets/nnuljte.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n(`
Equals ​
julia
export equals
What is equals? ​
The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const l="/GeometryOps.jl/previews/PR169/assets/denqdhe.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n(`
Equals ​
julia
export equals
What is equals? ​
The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_equals.md.xIF1y7Id.lean.js b/previews/PR169/assets/source_methods_equals.md.CuFqzQhq.lean.js
similarity index 87%
rename from previews/PR169/assets/source_methods_equals.md.xIF1y7Id.lean.js
rename to previews/PR169/assets/source_methods_equals.md.CuFqzQhq.lean.js
index 895105398..785d98292 100644
--- a/previews/PR169/assets/source_methods_equals.md.xIF1y7Id.lean.js
+++ b/previews/PR169/assets/source_methods_equals.md.CuFqzQhq.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const l="/GeometryOps.jl/previews/PR169/assets/nnuljte.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n("",47),p=[h];function e(k,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",e]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const l="/GeometryOps.jl/previews/PR169/assets/denqdhe.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n("",47),p=[h];function e(k,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",e]]);export{y as __pageData,c as default};
diff --git a/previews/PR169/assets/source_methods_geom_relations_contains.md.Dtri0B5X.js b/previews/PR169/assets/source_methods_geom_relations_contains.md.C-89dB8J.js
similarity index 99%
rename from previews/PR169/assets/source_methods_geom_relations_contains.md.Dtri0B5X.js
rename to previews/PR169/assets/source_methods_geom_relations_contains.md.C-89dB8J.js
index 39ad4e48a..a0816f72b 100644
--- a/previews/PR169/assets/source_methods_geom_relations_contains.md.Dtri0B5X.js
+++ b/previews/PR169/assets/source_methods_geom_relations_contains.md.C-89dB8J.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/bfrkaqy._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n(`
Contains ​
julia
export contains
What is contains? ​
The contains function checks if a given geometry completly contains another geometry, or in other words, that the second geometry is completly within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/aawyhhs._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n(`
Contains ​
julia
export contains
What is contains? ​
The contains function checks if a given geometry completly contains another geometry, or in other words, that the second geometry is completly within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_geom_relations_contains.md.Dtri0B5X.lean.js b/previews/PR169/assets/source_methods_geom_relations_contains.md.C-89dB8J.lean.js
similarity index 88%
rename from previews/PR169/assets/source_methods_geom_relations_contains.md.Dtri0B5X.lean.js
rename to previews/PR169/assets/source_methods_geom_relations_contains.md.C-89dB8J.lean.js
index 951055a11..0ff8c71c0 100644
--- a/previews/PR169/assets/source_methods_geom_relations_contains.md.Dtri0B5X.lean.js
+++ b/previews/PR169/assets/source_methods_geom_relations_contains.md.C-89dB8J.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/bfrkaqy._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n("",18),l=[h];function p(k,r,o,d,g,E){return a(),i("div",null,l)}const F=s(e,[["render",p]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/aawyhhs._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n("",18),l=[h];function p(k,r,o,d,g,E){return a(),i("div",null,l)}const F=s(e,[["render",p]]);export{y as __pageData,F as default};
diff --git a/previews/PR169/assets/source_methods_geom_relations_coveredby.md.DH0eLcC3.js b/previews/PR169/assets/source_methods_geom_relations_coveredby.md.SC4h9Q05.js
similarity index 99%
rename from previews/PR169/assets/source_methods_geom_relations_coveredby.md.DH0eLcC3.js
rename to previews/PR169/assets/source_methods_geom_relations_coveredby.md.SC4h9Q05.js
index c96b919e3..48e48fdac 100644
--- a/previews/PR169/assets/source_methods_geom_relations_coveredby.md.DH0eLcC3.js
+++ b/previews/PR169/assets/source_methods_geom_relations_coveredby.md.SC4h9Q05.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const e="/GeometryOps.jl/previews/PR169/assets/pjdrydk.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n(`
CoveredBy ​
julia
export coveredby
What is coveredby? ​
The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn't outside of the second geometry.
To provide an example, consider this point and line:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const e="/GeometryOps.jl/previews/PR169/assets/equilxb.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n(`
CoveredBy ​
julia
export coveredby
What is coveredby? ​
The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn't outside of the second geometry.
To provide an example, consider this point and line:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_geom_relations_coveredby.md.DH0eLcC3.lean.js b/previews/PR169/assets/source_methods_geom_relations_coveredby.md.SC4h9Q05.lean.js
similarity index 88%
rename from previews/PR169/assets/source_methods_geom_relations_coveredby.md.DH0eLcC3.lean.js
rename to previews/PR169/assets/source_methods_geom_relations_coveredby.md.SC4h9Q05.lean.js
index bc19df2bf..722dc09a1 100644
--- a/previews/PR169/assets/source_methods_geom_relations_coveredby.md.DH0eLcC3.lean.js
+++ b/previews/PR169/assets/source_methods_geom_relations_coveredby.md.SC4h9Q05.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const e="/GeometryOps.jl/previews/PR169/assets/pjdrydk.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n("",45),t=[h];function p(k,r,E,d,g,o){return a(),i("div",null,t)}const F=s(l,[["render",p]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const e="/GeometryOps.jl/previews/PR169/assets/equilxb.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n("",45),t=[h];function p(k,r,E,d,g,o){return a(),i("div",null,t)}const F=s(l,[["render",p]]);export{c as __pageData,F as default};
diff --git a/previews/PR169/assets/source_methods_geom_relations_covers.md.BFAiqtXt.js b/previews/PR169/assets/source_methods_geom_relations_covers.md.BI3Gj8gR.js
similarity index 99%
rename from previews/PR169/assets/source_methods_geom_relations_covers.md.BFAiqtXt.js
rename to previews/PR169/assets/source_methods_geom_relations_covers.md.BI3Gj8gR.js
index 010da6959..b2fa4ad9b 100644
--- a/previews/PR169/assets/source_methods_geom_relations_covers.md.BFAiqtXt.js
+++ b/previews/PR169/assets/source_methods_geom_relations_covers.md.BI3Gj8gR.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const n="/GeometryOps.jl/previews/PR169/assets/pjdrydk.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e(`
Covers ​
julia
export covers
What is covers? ​
The covers function checks if a given geometry completly covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const n="/GeometryOps.jl/previews/PR169/assets/equilxb.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e(`
Covers ​
julia
export covers
What is covers? ​
The covers function checks if a given geometry completly covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_geom_relations_covers.md.BFAiqtXt.lean.js b/previews/PR169/assets/source_methods_geom_relations_covers.md.BI3Gj8gR.lean.js
similarity index 88%
rename from previews/PR169/assets/source_methods_geom_relations_covers.md.BFAiqtXt.lean.js
rename to previews/PR169/assets/source_methods_geom_relations_covers.md.BI3Gj8gR.lean.js
index e55113b6c..2a5132b59 100644
--- a/previews/PR169/assets/source_methods_geom_relations_covers.md.BFAiqtXt.lean.js
+++ b/previews/PR169/assets/source_methods_geom_relations_covers.md.BI3Gj8gR.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const n="/GeometryOps.jl/previews/PR169/assets/pjdrydk.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e("",17),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const u=s(t,[["render",h]]);export{y as __pageData,u as default};
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const n="/GeometryOps.jl/previews/PR169/assets/equilxb.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e("",17),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const u=s(t,[["render",h]]);export{y as __pageData,u as default};
diff --git a/previews/PR169/assets/source_methods_geom_relations_disjoint.md.DXA2WV5o.js b/previews/PR169/assets/source_methods_geom_relations_disjoint.md.DQHkujKS.js
similarity index 99%
rename from previews/PR169/assets/source_methods_geom_relations_disjoint.md.DXA2WV5o.js
rename to previews/PR169/assets/source_methods_geom_relations_disjoint.md.DQHkujKS.js
index 3803c3665..1d89a3f41 100644
--- a/previews/PR169/assets/source_methods_geom_relations_disjoint.md.DXA2WV5o.js
+++ b/previews/PR169/assets/source_methods_geom_relations_disjoint.md.DQHkujKS.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/tjimhcu.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n(`
Disjoint ​
julia
export disjoint
What is disjoint? ​
The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/iuqavhg.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n(`
Disjoint ​
julia
export disjoint
What is disjoint? ​
The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_geom_relations_disjoint.md.DXA2WV5o.lean.js b/previews/PR169/assets/source_methods_geom_relations_disjoint.md.DQHkujKS.lean.js
similarity index 88%
rename from previews/PR169/assets/source_methods_geom_relations_disjoint.md.DXA2WV5o.lean.js
rename to previews/PR169/assets/source_methods_geom_relations_disjoint.md.DQHkujKS.lean.js
index f21d386cf..fef075075 100644
--- a/previews/PR169/assets/source_methods_geom_relations_disjoint.md.DXA2WV5o.lean.js
+++ b/previews/PR169/assets/source_methods_geom_relations_disjoint.md.DQHkujKS.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/tjimhcu.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n("",39),p=[l];function k(e,r,E,g,d,o){return a(),i("div",null,p)}const F=s(h,[["render",k]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/iuqavhg.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n("",39),p=[l];function k(e,r,E,g,d,o){return a(),i("div",null,p)}const F=s(h,[["render",k]]);export{c as __pageData,F as default};
diff --git a/previews/PR169/assets/source_methods_geom_relations_intersects.md.DW-0vhYk.js b/previews/PR169/assets/source_methods_geom_relations_intersects.md.4SjoRCl_.js
similarity index 97%
rename from previews/PR169/assets/source_methods_geom_relations_intersects.md.DW-0vhYk.js
rename to previews/PR169/assets/source_methods_geom_relations_intersects.md.4SjoRCl_.js
index 29f4fc68c..c70d42687 100644
--- a/previews/PR169/assets/source_methods_geom_relations_intersects.md.DW-0vhYk.js
+++ b/previews/PR169/assets/source_methods_geom_relations_intersects.md.4SjoRCl_.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const n="/GeometryOps.jl/previews/PR169/assets/iexfroq.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e(`
Intersection checks ​
julia
export intersects
What is intersects? ​
The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const n="/GeometryOps.jl/previews/PR169/assets/uvdwhhy.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e(`
Intersection checks ​
julia
export intersects
What is intersects? ​
The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -24,4 +24,4 @@ import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const n
 GO.intersects(line1, line2)
output
julia
true
 \`\`\`
 """
-intersects(geom1, geom2) = !disjoint(geom1, geom2)
This page was generated using Literate.jl.
`,18),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{y as __pageData,F as default};
+intersects(geom1, geom2) = !disjoint(geom1, geom2)
This page was generated using Literate.jl.
`,18),h=[p];function l(k,r,o,d,c,g){return a(),i("div",null,h)}const F=s(t,[["render",l]]);export{y as __pageData,F as default};
diff --git a/previews/PR169/assets/source_methods_geom_relations_intersects.md.DW-0vhYk.lean.js b/previews/PR169/assets/source_methods_geom_relations_intersects.md.4SjoRCl_.lean.js
similarity index 56%
rename from previews/PR169/assets/source_methods_geom_relations_intersects.md.DW-0vhYk.lean.js
rename to previews/PR169/assets/source_methods_geom_relations_intersects.md.4SjoRCl_.lean.js
index f01e6d0e4..5ff279dd3 100644
--- a/previews/PR169/assets/source_methods_geom_relations_intersects.md.DW-0vhYk.lean.js
+++ b/previews/PR169/assets/source_methods_geom_relations_intersects.md.4SjoRCl_.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const n="/GeometryOps.jl/previews/PR169/assets/iexfroq.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e("",18),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const n="/GeometryOps.jl/previews/PR169/assets/uvdwhhy.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e("",18),h=[p];function l(k,r,o,d,c,g){return a(),i("div",null,h)}const F=s(t,[["render",l]]);export{y as __pageData,F as default};
diff --git a/previews/PR169/assets/source_methods_geom_relations_overlaps.md.iwiIlLyl.js b/previews/PR169/assets/source_methods_geom_relations_overlaps.md.BmQlLuw1.js
similarity index 99%
rename from previews/PR169/assets/source_methods_geom_relations_overlaps.md.iwiIlLyl.js
rename to previews/PR169/assets/source_methods_geom_relations_overlaps.md.BmQlLuw1.js
index e7adf4b0a..34d4778b3 100644
--- a/previews/PR169/assets/source_methods_geom_relations_overlaps.md.iwiIlLyl.js
+++ b/previews/PR169/assets/source_methods_geom_relations_overlaps.md.BmQlLuw1.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const l="/GeometryOps.jl/previews/PR169/assets/nnuljte.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n(`
Overlaps ​
julia
export overlaps
What is overlaps? ​
The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.
Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is colinear.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const l="/GeometryOps.jl/previews/PR169/assets/denqdhe.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n(`
Overlaps ​
julia
export overlaps
What is overlaps? ​
The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.
Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is colinear.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_geom_relations_overlaps.md.iwiIlLyl.lean.js b/previews/PR169/assets/source_methods_geom_relations_overlaps.md.BmQlLuw1.lean.js
similarity index 88%
rename from previews/PR169/assets/source_methods_geom_relations_overlaps.md.iwiIlLyl.lean.js
rename to previews/PR169/assets/source_methods_geom_relations_overlaps.md.BmQlLuw1.lean.js
index f21d260b4..4acd48c0f 100644
--- a/previews/PR169/assets/source_methods_geom_relations_overlaps.md.iwiIlLyl.lean.js
+++ b/previews/PR169/assets/source_methods_geom_relations_overlaps.md.BmQlLuw1.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const l="/GeometryOps.jl/previews/PR169/assets/nnuljte.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n("",37),e=[t];function h(k,r,d,g,o,F){return a(),i("div",null,e)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const l="/GeometryOps.jl/previews/PR169/assets/denqdhe.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n("",37),e=[t];function h(k,r,d,g,o,F){return a(),i("div",null,e)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
diff --git a/previews/PR169/assets/source_methods_geom_relations_touches.md.XCVIIiHK.js b/previews/PR169/assets/source_methods_geom_relations_touches.md.B0EyE8IO.js
similarity index 99%
rename from previews/PR169/assets/source_methods_geom_relations_touches.md.XCVIIiHK.js
rename to previews/PR169/assets/source_methods_geom_relations_touches.md.B0EyE8IO.js
index 0398bf6c9..0f4ff7d7c 100644
--- a/previews/PR169/assets/source_methods_geom_relations_touches.md.XCVIIiHK.js
+++ b/previews/PR169/assets/source_methods_geom_relations_touches.md.B0EyE8IO.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/jhauxmv.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n(`
Touches ​
julia
export touches
What is touches? ​
The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometies interior or boundary.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/sqmxtlw.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n(`
Touches ​
julia
export touches
What is touches? ​
The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometies interior or boundary.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_geom_relations_touches.md.XCVIIiHK.lean.js b/previews/PR169/assets/source_methods_geom_relations_touches.md.B0EyE8IO.lean.js
similarity index 88%
rename from previews/PR169/assets/source_methods_geom_relations_touches.md.XCVIIiHK.lean.js
rename to previews/PR169/assets/source_methods_geom_relations_touches.md.B0EyE8IO.lean.js
index 6ee56b5b7..ed6742b10 100644
--- a/previews/PR169/assets/source_methods_geom_relations_touches.md.XCVIIiHK.lean.js
+++ b/previews/PR169/assets/source_methods_geom_relations_touches.md.B0EyE8IO.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/jhauxmv.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(h,[["render",p]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/sqmxtlw.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(h,[["render",p]]);export{c as __pageData,F as default};
diff --git a/previews/PR169/assets/source_methods_geom_relations_within.md.BGgXZvyL.js b/previews/PR169/assets/source_methods_geom_relations_within.md.Cv1fRzgy.js
similarity index 99%
rename from previews/PR169/assets/source_methods_geom_relations_within.md.BGgXZvyL.js
rename to previews/PR169/assets/source_methods_geom_relations_within.md.Cv1fRzgy.js
index 4af6b0fbb..b63c77f18 100644
--- a/previews/PR169/assets/source_methods_geom_relations_within.md.BGgXZvyL.js
+++ b/previews/PR169/assets/source_methods_geom_relations_within.md.Cv1fRzgy.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/bfrkaqy._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n(`
Within ​
julia
export within
What is within? ​
The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/aawyhhs._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n(`
Within ​
julia
export within
What is within? ​
The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR169/assets/source_methods_geom_relations_within.md.BGgXZvyL.lean.js b/previews/PR169/assets/source_methods_geom_relations_within.md.Cv1fRzgy.lean.js
similarity index 88%
rename from previews/PR169/assets/source_methods_geom_relations_within.md.BGgXZvyL.lean.js
rename to previews/PR169/assets/source_methods_geom_relations_within.md.Cv1fRzgy.lean.js
index 650440509..b57ba6373 100644
--- a/previews/PR169/assets/source_methods_geom_relations_within.md.BGgXZvyL.lean.js
+++ b/previews/PR169/assets/source_methods_geom_relations_within.md.Cv1fRzgy.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/bfrkaqy._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n("",41),p=[l];function e(k,r,E,g,d,y){return a(),i("div",null,p)}const F=s(t,[["render",e]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/aawyhhs._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n("",41),p=[l];function e(k,r,E,g,d,y){return a(),i("div",null,p)}const F=s(t,[["render",e]]);export{c as __pageData,F as default};
diff --git a/previews/PR169/assets/source_transformations_segmentize.md.D7G6gyk9.js b/previews/PR169/assets/source_transformations_segmentize.md.D5TK2PGP.js
similarity index 99%
rename from previews/PR169/assets/source_transformations_segmentize.md.D7G6gyk9.js
rename to previews/PR169/assets/source_transformations_segmentize.md.D5TK2PGP.js
index bddecbd36..77d2418aa 100644
--- a/previews/PR169/assets/source_transformations_segmentize.md.D7G6gyk9.js
+++ b/previews/PR169/assets/source_transformations_segmentize.md.D5TK2PGP.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/kszrkcu.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR169/assets/oloiihx.CnU9oE_z.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"},l=n(`
Segmentize ​
julia
export segmentize
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/wbycqdk.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR169/assets/aminatc.09qSbkT6.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"},l=n(`
Segmentize ​
julia
export segmentize
 export LinearSegments, GeodesicSegments
This function "segmentizes" or "densifies" a geometry by adding extra vertices to the geometry so that no segment is longer than a given distance. This is useful for plotting geometries with a limited number of vertices, or for ensuring that a geometry is not too "coarse" for a given application.
Info
We plan to add interpolated segmentization from DataInterpolations.jl in the future, which will be available to any vector of point-like objects.
For now, this function only works on 2D geometries. We will also support 3D geometries, as well as measure interpolation, in the future.
Examples ​
julia
import GeometryOps as GO, GeoInterface as GI
 rectangle = GI.Wrappers.Polygon([[(0.0, 50.0), (7.071, 57.07), (0, 64.14), (-7.07, 57.07), (0.0, 50.0)]])
 linear = GO.segmentize(rectangle; max_distance = 5)
diff --git a/previews/PR169/assets/source_transformations_segmentize.md.D7G6gyk9.lean.js b/previews/PR169/assets/source_transformations_segmentize.md.D5TK2PGP.lean.js
similarity index 67%
rename from previews/PR169/assets/source_transformations_segmentize.md.D7G6gyk9.lean.js
rename to previews/PR169/assets/source_transformations_segmentize.md.D5TK2PGP.lean.js
index 68ccd93e9..1a5b412d3 100644
--- a/previews/PR169/assets/source_transformations_segmentize.md.D7G6gyk9.lean.js
+++ b/previews/PR169/assets/source_transformations_segmentize.md.D5TK2PGP.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/kszrkcu.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR169/assets/oloiihx.CnU9oE_z.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"},l=n("",34),k=[l];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(e,[["render",p]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/wbycqdk.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR169/assets/aminatc.09qSbkT6.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"},l=n("",34),k=[l];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(e,[["render",p]]);export{c as __pageData,C as default};
diff --git a/previews/PR169/assets/source_transformations_simplify.md.BF2BMPBY.js b/previews/PR169/assets/source_transformations_simplify.md.DXroAKLv.js
similarity index 99%
rename from previews/PR169/assets/source_transformations_simplify.md.BF2BMPBY.js
rename to previews/PR169/assets/source_transformations_simplify.md.DXroAKLv.js
index a546f7b09..68b00f8ec 100644
--- a/previews/PR169/assets/source_transformations_simplify.md.BF2BMPBY.js
+++ b/previews/PR169/assets/source_transformations_simplify.md.DXroAKLv.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/lmmgxcz.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR169/assets/mnfwlis.B94PsR1K.png",k="/GeometryOps.jl/previews/PR169/assets/rzrivxj.BtHt4_Dy.png",t="/GeometryOps.jl/previews/PR169/assets/icfkkkq.DhF98w0-.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n(`
Geometry simplification ​
This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
Examples ​
A quick and dirty example is:
julia
using Makie, GeoInterfaceMakie
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/gkolncw.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR169/assets/tnjlqur.B94PsR1K.png",k="/GeometryOps.jl/previews/PR169/assets/wpvxiiz.DgNundyF.png",t="/GeometryOps.jl/previews/PR169/assets/jdrrjbm.DFAgXvTT.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n(`
Geometry simplification ​
This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
Examples ​
A quick and dirty example is:
julia
using Makie, GeoInterfaceMakie
 import GeoInterface as GI
 import GeometryOps as GO
 
diff --git a/previews/PR169/assets/source_transformations_simplify.md.BF2BMPBY.lean.js b/previews/PR169/assets/source_transformations_simplify.md.DXroAKLv.lean.js
similarity index 56%
rename from previews/PR169/assets/source_transformations_simplify.md.BF2BMPBY.lean.js
rename to previews/PR169/assets/source_transformations_simplify.md.DXroAKLv.lean.js
index dee40dc5b..f4f9717dd 100644
--- a/previews/PR169/assets/source_transformations_simplify.md.BF2BMPBY.lean.js
+++ b/previews/PR169/assets/source_transformations_simplify.md.DXroAKLv.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/lmmgxcz.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR169/assets/mnfwlis.B94PsR1K.png",k="/GeometryOps.jl/previews/PR169/assets/rzrivxj.BtHt4_Dy.png",t="/GeometryOps.jl/previews/PR169/assets/icfkkkq.DhF98w0-.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n("",71),E=[e];function r(d,g,y,F,o,c){return a(),i("div",null,E)}const D=s(p,[["render",r]]);export{u as __pageData,D as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CXV__M-i.js";const h="/GeometryOps.jl/previews/PR169/assets/gkolncw.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR169/assets/tnjlqur.B94PsR1K.png",k="/GeometryOps.jl/previews/PR169/assets/wpvxiiz.DgNundyF.png",t="/GeometryOps.jl/previews/PR169/assets/jdrrjbm.DFAgXvTT.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n("",71),E=[e];function r(d,g,y,F,o,c){return a(),i("div",null,E)}const D=s(p,[["render",r]]);export{u as __pageData,D as default};
diff --git a/previews/PR169/assets/jhauxmv.BEFUMtlf.png b/previews/PR169/assets/sqmxtlw.BEFUMtlf.png
similarity index 100%
rename from previews/PR169/assets/jhauxmv.BEFUMtlf.png
rename to previews/PR169/assets/sqmxtlw.BEFUMtlf.png
diff --git a/previews/PR169/assets/hluonpa.BD0hVfse.png b/previews/PR169/assets/tbjhkls.BD0hVfse.png
similarity index 100%
rename from previews/PR169/assets/hluonpa.BD0hVfse.png
rename to previews/PR169/assets/tbjhkls.BD0hVfse.png
diff --git a/previews/PR169/assets/mnfwlis.B94PsR1K.png b/previews/PR169/assets/tnjlqur.B94PsR1K.png
similarity index 100%
rename from previews/PR169/assets/mnfwlis.B94PsR1K.png
rename to previews/PR169/assets/tnjlqur.B94PsR1K.png
diff --git a/previews/PR169/assets/tutorials_creating_geometry.md.r-TcWI46.js b/previews/PR169/assets/tutorials_creating_geometry.md.aGBxN1gQ.js
similarity index 99%
rename from previews/PR169/assets/tutorials_creating_geometry.md.r-TcWI46.js
rename to previews/PR169/assets/tutorials_creating_geometry.md.aGBxN1gQ.js
index 9968dda81..04db77a1c 100644
--- a/previews/PR169/assets/tutorials_creating_geometry.md.r-TcWI46.js
+++ b/previews/PR169/assets/tutorials_creating_geometry.md.aGBxN1gQ.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/ubstubf.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR169/assets/fovjkwc.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR169/assets/qnlcjhg.0OJvb21A.png",p="/GeometryOps.jl/previews/PR169/assets/hxkjeim.DaovVbE6.png",h="/GeometryOps.jl/previews/PR169/assets/hxelpnv.BaZeu6ul.png",k="/GeometryOps.jl/previews/PR169/assets/zkhhjvo.DFgr-JEI.png",o="/GeometryOps.jl/previews/PR169/assets/dbrztnc.yuGUdylf.png",r="/GeometryOps.jl/previews/PR169/assets/mnwnxuq.CXhMGpE5.png",g="/GeometryOps.jl/previews/PR169/assets/bvpbabx.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR169/assets/gbpjzwx.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR169/assets/padvgra.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/naplshy.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR169/assets/lxpgjjx.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR169/assets/qbbrclg.0OJvb21A.png",p="/GeometryOps.jl/previews/PR169/assets/bvmzgnt.DaovVbE6.png",h="/GeometryOps.jl/previews/PR169/assets/plqzayt.BaZeu6ul.png",k="/GeometryOps.jl/previews/PR169/assets/jitclsi.DFgr-JEI.png",o="/GeometryOps.jl/previews/PR169/assets/hxkvfhc.yuGUdylf.png",r="/GeometryOps.jl/previews/PR169/assets/llncqtq.CXhMGpE5.png",g="/GeometryOps.jl/previews/PR169/assets/kzjiokc.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR169/assets/ktrxhbi.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR169/assets/jnrzmld.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
diff --git a/previews/PR169/assets/tutorials_creating_geometry.md.aGBxN1gQ.lean.js b/previews/PR169/assets/tutorials_creating_geometry.md.aGBxN1gQ.lean.js
new file mode 100644
index 000000000..5e0b82d56
--- /dev/null
+++ b/previews/PR169/assets/tutorials_creating_geometry.md.aGBxN1gQ.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/naplshy.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR169/assets/lxpgjjx.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR169/assets/qbbrclg.0OJvb21A.png",p="/GeometryOps.jl/previews/PR169/assets/bvmzgnt.DaovVbE6.png",h="/GeometryOps.jl/previews/PR169/assets/plqzayt.BaZeu6ul.png",k="/GeometryOps.jl/previews/PR169/assets/jitclsi.DFgr-JEI.png",o="/GeometryOps.jl/previews/PR169/assets/hxkvfhc.yuGUdylf.png",r="/GeometryOps.jl/previews/PR169/assets/llncqtq.CXhMGpE5.png",g="/GeometryOps.jl/previews/PR169/assets/kzjiokc.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR169/assets/ktrxhbi.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR169/assets/jnrzmld.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e("",119),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const P=s(c,[["render",u]]);export{D as __pageData,P as default};
diff --git a/previews/PR169/assets/tutorials_creating_geometry.md.r-TcWI46.lean.js b/previews/PR169/assets/tutorials_creating_geometry.md.r-TcWI46.lean.js
deleted file mode 100644
index 8fcf697f9..000000000
--- a/previews/PR169/assets/tutorials_creating_geometry.md.r-TcWI46.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.CXV__M-i.js";const t="/GeometryOps.jl/previews/PR169/assets/ubstubf.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR169/assets/fovjkwc.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR169/assets/qnlcjhg.0OJvb21A.png",p="/GeometryOps.jl/previews/PR169/assets/hxkjeim.DaovVbE6.png",h="/GeometryOps.jl/previews/PR169/assets/hxelpnv.BaZeu6ul.png",k="/GeometryOps.jl/previews/PR169/assets/zkhhjvo.DFgr-JEI.png",o="/GeometryOps.jl/previews/PR169/assets/dbrztnc.yuGUdylf.png",r="/GeometryOps.jl/previews/PR169/assets/mnwnxuq.CXhMGpE5.png",g="/GeometryOps.jl/previews/PR169/assets/bvpbabx.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR169/assets/gbpjzwx.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR169/assets/padvgra.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e("",119),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const P=s(c,[["render",u]]);export{D as __pageData,P as default};
diff --git a/previews/PR169/assets/tutorials_spatial_joins.md.B5XdRxZd.js b/previews/PR169/assets/tutorials_spatial_joins.md.Da3jnkKt.js
similarity index 99%
rename from previews/PR169/assets/tutorials_spatial_joins.md.B5XdRxZd.js
rename to previews/PR169/assets/tutorials_spatial_joins.md.Da3jnkKt.js
index e573f202e..c5bc82f32 100644
--- a/previews/PR169/assets/tutorials_spatial_joins.md.B5XdRxZd.js
+++ b/previews/PR169/assets/tutorials_spatial_joins.md.Da3jnkKt.js
@@ -1,4 +1,4 @@
-import{_ as h,c as a,j as s,a as i,a6 as n,o as t}from"./chunks/framework.CXV__M-i.js";const e="/GeometryOps.jl/previews/PR169/assets/skxlakg.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR169/assets/slecjod.iQgIBkRP.png",p="/GeometryOps.jl/previews/PR169/assets/jkjlsdp.DI3FGwyW.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n('',1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n(`
Spatial joins can be done between any geometry types (from geometrycollections to points), just as geometrical predicates can be evaluated on any geometries.
In this tutorial, we will show how to perform a spatial join on first a toy dataset and then two Natural Earth datasets, to show how this can be used in the real world.
In order to perform the spatial join, we use FlexiJoins.jl to perform the join, specifically using its by_pred joining method. This allows the user to specify a predicate in the following manner:
julia
[inner/left/right/outer/...]join((table1, table1),
+import{_ as h,c as a,j as s,a as i,a6 as n,o as t}from"./chunks/framework.CXV__M-i.js";const e="/GeometryOps.jl/previews/PR169/assets/afvrywy.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR169/assets/ljclzfp.B8464KIz.png",p="/GeometryOps.jl/previews/PR169/assets/hctmgoi.B-_drWRL.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n('',1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n(`
Spatial joins can be done between any geometry types (from geometrycollections to points), just as geometrical predicates can be evaluated on any geometries.
In this tutorial, we will show how to perform a spatial join on first a toy dataset and then two Natural Earth datasets, to show how this can be used in the real world.
In order to perform the spatial join, we use FlexiJoins.jl to perform the join, specifically using its by_pred joining method. This allows the user to specify a predicate in the following manner:
julia
[inner/left/right/outer/...]join((table1, table1),
     by_pred(:table1_column, predicate_function, :table2_column) # & add other conditions here
 )
We have enabled the use of all of GeometryOps' boolean comparisons here. These are:
julia
GO.contains, GO.within, GO.intersects, GO.touches, GO.crosses, GO.disjoint, GO.overlaps, GO.covers, GO.coveredby, GO.equals
Tip
Always place the dataframe with more complex geometries second, as that is the one which will be sorted into a tree.
Simple example ​
This example demonstrates how to perform a spatial join between two datasets: a set of polygons and a set of randomly generated points.
The polygons are represented as a DataFrame with geometries and colors, while the points are stored in a separate DataFrame.
The spatial join is performed using the contains predicate from GeometryOps, which checks if each point is contained within any of the polygons. The resulting joined DataFrame is then used to plot the points, colored according to the containing polygon.
First, we generate our data. We create two triangle polygons which, together, span the rectangle (0, 0, 1, 1), and a set of points which are randomly distributed within this rectangle.
julia
import GeoInterface as GI, GeometryOps as GO
 using FlexiJoins, DataFrames
diff --git a/previews/PR169/assets/tutorials_spatial_joins.md.B5XdRxZd.lean.js b/previews/PR169/assets/tutorials_spatial_joins.md.Da3jnkKt.lean.js
similarity index 92%
rename from previews/PR169/assets/tutorials_spatial_joins.md.B5XdRxZd.lean.js
rename to previews/PR169/assets/tutorials_spatial_joins.md.Da3jnkKt.lean.js
index ae6a8d2b4..5b1ff3a78 100644
--- a/previews/PR169/assets/tutorials_spatial_joins.md.B5XdRxZd.lean.js
+++ b/previews/PR169/assets/tutorials_spatial_joins.md.Da3jnkKt.lean.js
@@ -1 +1 @@
-import{_ as h,c as a,j as s,a as i,a6 as n,o as t}from"./chunks/framework.CXV__M-i.js";const e="/GeometryOps.jl/previews/PR169/assets/skxlakg.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR169/assets/slecjod.iQgIBkRP.png",p="/GeometryOps.jl/previews/PR169/assets/jkjlsdp.DI3FGwyW.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n("",1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n("",37);function T(_,b,f,D,Q,w){return t(),a("div",null,[r,s("p",null,[i("Spatial joins are "),E,i(" which are based not on equality, but on some predicate "),s("mjx-container",d,[(t(),a("svg",o,y)),c]),i(", which takes two geometries, and returns a value of either "),F,i(" or "),u,i(". For geometries, the "),m,i(" spatial relationship model is used to determine the spatial relationship between two geometries.")]),C])}const v=h(k,[["render",T]]);export{B as __pageData,v as default};
+import{_ as h,c as a,j as s,a as i,a6 as n,o as t}from"./chunks/framework.CXV__M-i.js";const e="/GeometryOps.jl/previews/PR169/assets/afvrywy.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR169/assets/ljclzfp.B8464KIz.png",p="/GeometryOps.jl/previews/PR169/assets/hctmgoi.B-_drWRL.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n("",1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n("",37);function T(_,b,f,D,Q,w){return t(),a("div",null,[r,s("p",null,[i("Spatial joins are "),E,i(" which are based not on equality, but on some predicate "),s("mjx-container",d,[(t(),a("svg",o,y)),c]),i(", which takes two geometries, and returns a value of either "),F,i(" or "),u,i(". For geometries, the "),m,i(" spatial relationship model is used to determine the spatial relationship between two geometries.")]),C])}const v=h(k,[["render",T]]);export{B as __pageData,v as default};
diff --git a/previews/PR169/assets/iexfroq.DeeQUply.png b/previews/PR169/assets/uvdwhhy.DeeQUply.png
similarity index 100%
rename from previews/PR169/assets/iexfroq.DeeQUply.png
rename to previews/PR169/assets/uvdwhhy.DeeQUply.png
diff --git a/previews/PR169/assets/kszrkcu.BOOG5oTW.png b/previews/PR169/assets/wbycqdk.BOOG5oTW.png
similarity index 100%
rename from previews/PR169/assets/kszrkcu.BOOG5oTW.png
rename to previews/PR169/assets/wbycqdk.BOOG5oTW.png
diff --git a/previews/PR169/assets/wpvxiiz.DgNundyF.png b/previews/PR169/assets/wpvxiiz.DgNundyF.png
new file mode 100644
index 000000000..0ffda9cf2
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diff --git a/previews/PR169/assets/lokfglb.CULn5saZ.png b/previews/PR169/assets/yqqwdwy.CULn5saZ.png
similarity index 100%
rename from previews/PR169/assets/lokfglb.CULn5saZ.png
rename to previews/PR169/assets/yqqwdwy.CULn5saZ.png
diff --git a/previews/PR169/call_notes.html b/previews/PR169/call_notes.html
index 60a28bbc6..ac70a0299 100644
--- a/previews/PR169/call_notes.html
+++ b/previews/PR169/call_notes.html
@@ -8,10 +8,10 @@
     
     
     
-    
+    
     
     
-    
+    
     
     
     
@@ -19,7 +19,7 @@
   
   
     
GeometryOps.jl
Appearance
20th April, 2024 ​
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections

-    
+    
     
   
 
\ No newline at end of file
diff --git a/previews/PR169/experiments/accurate_accumulators.html b/previews/PR169/experiments/accurate_accumulators.html
index a7f02c372..992e956e3 100644
--- a/previews/PR169/experiments/accurate_accumulators.html
+++ b/previews/PR169/experiments/accurate_accumulators.html
@@ -8,10 +8,10 @@
     
     
     
-    
+    
     
     
-    
+    
     
     
     
@@ -24,7 +24,7 @@
 using NaturalEarth
 
 all_adm0 = naturalearth("admin_0_countries", 10)
FeatureCollection with 258 Features
julia
GO.area(all_adm0)
21427.909318372607
julia
AccurateArithmetic.sum_oro(GO.area.(all_adm0.geometry))
21427.909318372607
julia
AccurateArithmetic.sum_kbn(GO.area.(all_adm0.geometry))
21427.909318372607
julia
GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum
-21427.90063612163
julia
GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_oro
-21427.90063612163
@example accurate GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_kbn ```
- + \ No newline at end of file diff --git a/previews/PR169/experiments/predicates.html b/previews/PR169/experiments/predicates.html index d634637e9..0487b2478 100644 --- a/previews/PR169/experiments/predicates.html +++ b/previews/PR169/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/PR169/explanations/crs.html b/previews/PR169/explanations/crs.html index 0648792dc..f600c859d 100644 --- a/previews/PR169/explanations/crs.html +++ b/previews/PR169/explanations/crs.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
GeometryOps.jl

Appearance

- + \ No newline at end of file diff --git a/previews/PR169/explanations/paradigms.html b/previews/PR169/explanations/paradigms.html index 9dd2ea767..ddaa72fb1 100644 --- a/previews/PR169/explanations/paradigms.html +++ b/previews/PR169/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/PR169/explanations/peculiarities.html b/previews/PR169/explanations/peculiarities.html index 8d100d3d9..e6a0612f5 100644 --- a/previews/PR169/explanations/peculiarities.html +++ b/previews/PR169/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/PR169/explanations/winding_order.html b/previews/PR169/explanations/winding_order.html index 3dfafed57..c84745070 100644 --- a/previews/PR169/explanations/winding_order.html +++ b/previews/PR169/explanations/winding_order.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
GeometryOps.jl

Appearance

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diff --git a/previews/PR169/howto/unary_union.html b/previews/PR169/howto/unary_union.html index f39bcbe40..55f93755b 100644 --- a/previews/PR169/howto/unary_union.html +++ b/previews/PR169/howto/unary_union.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,11 +29,15 @@ geoms = GO.tuples(wkt) -plot(geoms; color = 1:length(geoms), axis = (; aspect = DataAspect()))

Now that we have the geometries, we reduce over the vector, performing unions along the way.

@example
final_multipoly = reduce(
+plot(geoms; color = 1:length(geoms), axis = (; aspect = DataAspect()))

Now that we have the geometries, we reduce over the vector, performing unions along the way.

@example
@time final_multipoly = reduce(
     (x, y) -> GO.union(x, y; target = GI.MultiPolygonTrait, fix = GO.UnionIntersectingPolygons()), 
-    geoms
-)
- + GO.fix(geoms) +)
@example
fixed_geoms = GO.buffer(geoms, 0)
+@time final_multipoly = reduce(
+    (x, y) -> GO.union(x, y; target = GI.MultiPolygonTrait, fix = GO.UnionIntersectingPolygons()), 
+    fixed_geoms
+)
@example
@time GO.fix(GI.MultiPolygon(fixed_geoms); corrections = (GO.UnionIntersectingPolygons(),))
+ \ No newline at end of file diff --git a/previews/PR169/index.html b/previews/PR169/index.html index e9c166cc9..6b2dbd749 100644 --- a/previews/PR169/index.html +++ b/previews/PR169/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!

- + \ No newline at end of file diff --git a/previews/PR169/introduction.html b/previews/PR169/introduction.html index c6728287e..cdb282abf 100644 --- a/previews/PR169/introduction.html +++ b/previews/PR169/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/PR169/source/GeometryOps.html b/previews/PR169/source/GeometryOps.html index a6ff14b59..ba4fbe3fc 100644 --- a/previews/PR169/source/GeometryOps.html +++ b/previews/PR169/source/GeometryOps.html @@ -8,10 +8,10 @@ - + - + @@ -91,7 +91,7 @@ end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR169/source/methods/angles.html b/previews/PR169/source/methods/angles.html index fcfd02600..73dbc5215 100644 --- a/previews/PR169/source/methods/angles.html +++ b/previews/PR169/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/PR169/source/methods/area.html b/previews/PR169/source/methods/area.html index 4be98fc43..4bdd75269 100644 --- a/previews/PR169/source/methods/area.html +++ b/previews/PR169/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 postive 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 postive 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/PR169/source/methods/barycentric.html b/previews/PR169/source/methods/barycentric.html index d6157e165..d4a867e90 100644 --- a/previews/PR169/source/methods/barycentric.html +++ b/previews/PR169/source/methods/barycentric.html @@ -8,10 +8,10 @@ - + - + @@ -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/PR169/source/methods/buffer.html b/previews/PR169/source/methods/buffer.html index 08f2e2ce6..d7c2cf3f1 100644 --- a/previews/PR169/source/methods/buffer.html +++ b/previews/PR169/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/PR169/source/methods/centroid.html b/previews/PR169/source/methods/centroid.html index faea51f04..b0709e5e3 100644 --- a/previews/PR169/source/methods/centroid.html +++ b/previews/PR169/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 availible 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 availible 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/PR169/source/methods/clipping/clipping_processor.html b/previews/PR169/source/methods/clipping/clipping_processor.html index 2e4cb08f5..5b226619a 100644 --- a/previews/PR169/source/methods/clipping/clipping_processor.html +++ b/previews/PR169/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/PR169/source/methods/clipping/coverage.html b/previews/PR169/source/methods/clipping/coverage.html index 0d7fe4fd2..e18a17afb 100644 --- a/previews/PR169/source/methods/clipping/coverage.html +++ b/previews/PR169/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/PR169/source/methods/clipping/cut.html b/previews/PR169/source/methods/clipping/cut.html index b253c6454..78f90332c 100644 --- a/previews/PR169/source/methods/clipping/cut.html +++ b/previews/PR169/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/PR169/source/methods/clipping/difference.html b/previews/PR169/source/methods/clipping/difference.html index 4376c8142..fc8375ae0 100644 --- a/previews/PR169/source/methods/clipping/difference.html +++ b/previews/PR169/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/PR169/source/methods/clipping/intersection.html b/previews/PR169/source/methods/clipping/intersection.html index 8980896b1..976b2dae8 100644 --- a/previews/PR169/source/methods/clipping/intersection.html +++ b/previews/PR169/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/PR169/source/methods/clipping/predicates.html b/previews/PR169/source/methods/clipping/predicates.html index 4b9a63a43..ae1a80e38 100644 --- a/previews/PR169/source/methods/clipping/predicates.html +++ b/previews/PR169/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/PR169/source/methods/clipping/union.html b/previews/PR169/source/methods/clipping/union.html index 8120683ee..1e7cb6a2a 100644 --- a/previews/PR169/source/methods/clipping/union.html +++ b/previews/PR169/source/methods/clipping/union.html @@ -8,11 +8,11 @@ - + - - + + @@ -90,6 +90,20 @@ _add_union_holes!(polys, a_in_b, b_in_a, poly_a, poly_b; exact) end

Remove uneeded collinear points on same edge

julia
    _remove_collinear_points!(polys, [false], poly_a, poly_b)
     return polys
+end
+
+function _union(
+    ::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.PolygonTrait, poly_b;
+    exact, kwargs...,
+) where T
+    return GI.MultiPolygon(_union(
+        TraitTarget(GI.PolygonTrait()), T,
+        GI.trait(poly_a), poly_a,
+        GI.trait(poly_b), poly_b;
+        exact, kwargs...,
+    ))
 end

Helper functions for Unions with Greiner and Hormann Polygon Clipping ​

julia
#= When marking the crossing status of a delayed crossing, the chain start point is crossing
 when the start point is a entry point and is a bouncing point when the start point is an
 exit point. The end of the chain has the opposite crossing / bouncing status. =#
@@ -228,6 +242,19 @@
     end
     return polys
 end
+function _union(
+    target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.MultiPolygonTrait, multipoly_b;
+    fix_multipoly = UnionIntersectingPolygons(), kwargs...,
+) where T
+    return GI.MultiPolygon(_union(
+        TraitTarget(GI.PolygonTrait()), T,
+        GI.trait(poly_a), poly_a,
+        GI.trait(multipoly_b), multipoly_b;
+        fix_multipoly, kwargs...,
+    ))
+end
 
 #= Multipolygon with polygon union is equivalent to taking the union of the poylgon with the
 multipolygon and thus simply switches the order of operations and calls the above method. =#
@@ -238,6 +265,13 @@
     kwargs...,
 ) where T = union(poly_b, multipoly_a; target, kwargs...)
 
+_union(
+    target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.MultiPolygonTrait, multipoly_a,
+    ::GI.PolygonTrait, poly_b;
+    kwargs...,
+) where T = union(poly_b, multipoly_a; target, kwargs...)
+
 #= Multipolygon with multipolygon union - note that all of the sub-polygons of `multipoly_a`
 and the sub-polygons of `multipoly_b` are included and combined together where there are
 intersections. Unless specified with `fix_multipoly = nothing`, `multipolygon_b` will be
@@ -282,7 +316,7 @@
     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/PR169/source/methods/distance.html b/previews/PR169/source/methods/distance.html index 9fe73bacf..acd09bfc7 100644 --- a/previews/PR169/source/methods/distance.html +++ b/previews/PR169/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/PR169/source/methods/equals.html b/previews/PR169/source/methods/equals.html index e2d424684..165f7b152 100644 --- a/previews/PR169/source/methods/equals.html +++ b/previews/PR169/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 commen 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 explicity 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 commen 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 explicity 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/PR169/source/methods/geom_relations/contains.html b/previews/PR169/source/methods/geom_relations/contains.html index 6ed12666b..dc91ac6a0 100644 --- a/previews/PR169/source/methods/geom_relations/contains.html +++ b/previews/PR169/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/PR169/source/methods/geom_relations/coveredby.html b/previews/PR169/source/methods/geom_relations/coveredby.html index e7ff3cc8e..2c5c3476e 100644 --- a/previews/PR169/source/methods/geom_relations/coveredby.html +++ b/previews/PR169/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/PR169/source/methods/geom_relations/covers.html b/previews/PR169/source/methods/geom_relations/covers.html index c0ad0f8d0..a9e9b1e3d 100644 --- a/previews/PR169/source/methods/geom_relations/covers.html +++ b/previews/PR169/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/PR169/source/methods/geom_relations/crosses.html b/previews/PR169/source/methods/geom_relations/crosses.html index f3710db5a..0848f5e95 100644 --- a/previews/PR169/source/methods/geom_relations/crosses.html +++ b/previews/PR169/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/PR169/source/methods/geom_relations/disjoint.html b/previews/PR169/source/methods/geom_relations/disjoint.html index 9119803c5..176baf2ff 100644 --- a/previews/PR169/source/methods/geom_relations/disjoint.html +++ b/previews/PR169/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/PR169/source/methods/geom_relations/geom_geom_processors.html b/previews/PR169/source/methods/geom_relations/geom_geom_processors.html index d84696184..f3dfee4ec 100644 --- a/previews/PR169/source/methods/geom_relations/geom_geom_processors.html +++ b/previews/PR169/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/PR169/source/methods/geom_relations/intersects.html b/previews/PR169/source/methods/geom_relations/intersects.html index 5d6aa24f7..fc80c5af1 100644 --- a/previews/PR169/source/methods/geom_relations/intersects.html +++ b/previews/PR169/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/PR169/source/methods/geom_relations/overlaps.html b/previews/PR169/source/methods/geom_relations/overlaps.html index 78f6f22a5..c296d7392 100644 --- a/previews/PR169/source/methods/geom_relations/overlaps.html +++ b/previews/PR169/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 autmoatically 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 respectivly, 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 autmoatically 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 respectivly, 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/PR169/source/methods/geom_relations/touches.html b/previews/PR169/source/methods/geom_relations/touches.html index 9403bc79f..419977215 100644 --- a/previews/PR169/source/methods/geom_relations/touches.html +++ b/previews/PR169/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/PR169/source/methods/geom_relations/within.html b/previews/PR169/source/methods/geom_relations/within.html index 74921d0aa..8f7deab7d 100644 --- a/previews/PR169/source/methods/geom_relations/within.html +++ b/previews/PR169/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/PR169/source/methods/orientation.html b/previews/PR169/source/methods/orientation.html index 2ea0d9b25..ad9bb05a9 100644 --- a/previews/PR169/source/methods/orientation.html +++ b/previews/PR169/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/PR169/source/methods/polygonize.html b/previews/PR169/source/methods/polygonize.html index e4d880dbb..a036624f7 100644 --- a/previews/PR169/source/methods/polygonize.html +++ b/previews/PR169/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/PR169/source/not_implemented_yet.html b/previews/PR169/source/not_implemented_yet.html index 994f0f069..325b4692d 100644 --- a/previews/PR169/source/not_implemented_yet.html +++ b/previews/PR169/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/PR169/source/primitives.html b/previews/PR169/source/primitives.html index 89da94955..bbf4e6940 100644 --- a/previews/PR169/source/primitives.html +++ b/previews/PR169/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/PR169/source/transformations/correction/closed_ring.html b/previews/PR169/source/transformations/correction/closed_ring.html index 3e3e29626..d395d14d1 100644 --- a/previews/PR169/source/transformations/correction/closed_ring.html +++ b/previews/PR169/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/PR169/source/transformations/correction/geometry_correction.html b/previews/PR169/source/transformations/correction/geometry_correction.html index 0618a13a5..f3c80588f 100644 --- a/previews/PR169/source/transformations/correction/geometry_correction.html +++ b/previews/PR169/source/transformations/correction/geometry_correction.html @@ -8,10 +8,10 @@ - + - + @@ -60,7 +60,7 @@ 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/PR169/source/transformations/correction/intersecting_polygons.html b/previews/PR169/source/transformations/correction/intersecting_polygons.html index 3eeed2ff9..fd7b765f0 100644 --- a/previews/PR169/source/transformations/correction/intersecting_polygons.html +++ b/previews/PR169/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/PR169/source/transformations/correction/polygon_contents.html b/previews/PR169/source/transformations/correction/polygon_contents.html index e2d622e31..cd6b4074f 100644 --- a/previews/PR169/source/transformations/correction/polygon_contents.html +++ b/previews/PR169/source/transformations/correction/polygon_contents.html @@ -8,10 +8,10 @@ - + - + @@ -37,7 +37,7 @@ _ls2lr(::GI.LineStringTrait, x) = GI.LinearRing(GI.getpoint(x)) _ls2lr(::GI.LinearRingTrait, x) = x

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR169/source/transformations/extent.html b/previews/PR169/source/transformations/extent.html index d1bf1da9c..699e36698 100644 --- a/previews/PR169/source/transformations/extent.html +++ b/previews/PR169/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/PR169/source/transformations/flip.html b/previews/PR169/source/transformations/flip.html index ccd09ce98..7b5f08281 100644 --- a/previews/PR169/source/transformations/flip.html +++ b/previews/PR169/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/PR169/source/transformations/reproject.html b/previews/PR169/source/transformations/reproject.html index d1d10bebb..3f9cc0774 100644 --- a/previews/PR169/source/transformations/reproject.html +++ b/previews/PR169/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/PR169/source/transformations/segmentize.html b/previews/PR169/source/transformations/segmentize.html index 3e336e4e3..dced7c635 100644 --- a/previews/PR169/source/transformations/segmentize.html +++ b/previews/PR169/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/PR169/source/transformations/simplify.html b/previews/PR169/source/transformations/simplify.html index d126ae222..a87a09de0 100644 --- a/previews/PR169/source/transformations/simplify.html +++ b/previews/PR169/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
 lg_and_go(geometry) = (GI.convert(LG, geometry), GO.tuples(geometry))
@@ -41,7 +41,7 @@
 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"))
@@ -55,7 +55,7 @@
     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)
@@ -74,7 +74,7 @@
     # 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
@@ -507,7 +507,7 @@
     end
     return nothing
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR169/source/transformations/transform.html b/previews/PR169/source/transformations/transform.html index 56038bb84..ef2307755 100644 --- a/previews/PR169/source/transformations/transform.html +++ b/previews/PR169/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/PR169/source/transformations/tuples.html b/previews/PR169/source/transformations/tuples.html index 7421d37e7..c02619ec3 100644 --- a/previews/PR169/source/transformations/tuples.html +++ b/previews/PR169/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/PR169/source/types.html b/previews/PR169/source/types.html index 47cbfd579..95bd2efae 100644 --- a/previews/PR169/source/types.html +++ b/previews/PR169/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/PR169/source/utils.html b/previews/PR169/source/utils.html index fe263a7eb..15291b381 100644 --- a/previews/PR169/source/utils.html +++ b/previews/PR169/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/PR169/tutorials/creating_geometry.html b/previews/PR169/tutorials/creating_geometry.html index c1ab9eb35..5aebda521 100644 --- a/previews/PR169/tutorials/creating_geometry.html +++ b/previews/PR169/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].

Coordinate reference systems (CRS) and you ​

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/KtgDm/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 destinaton 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].

Coordinate reference systems (CRS) and you ​

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/KtgDm/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 destinaton 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

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

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/PR169/tutorials/spatial_joins.html b/previews/PR169/tutorials/spatial_joins.html index 7b94b7163..62ff9154d 100644 --- a/previews/PR169/tutorials/spatial_joins.html +++ b/previews/PR169/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