diff --git a/dev/404.html b/dev/404.html index ee10d8ca0..59721018a 100644 --- a/dev/404.html +++ b/dev/404.html @@ -8,7 +8,7 @@ - + @@ -16,7 +16,7 @@
- + \ No newline at end of file diff --git a/dev/api.html b/dev/api.html index 19864b7da..c41455b70 100644 --- a/dev/api.html +++ b/dev/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/dev/assets/ztelvwq.BaZeu6ul.png b/dev/assets/agonpww.BaZeu6ul.png
similarity index 100%
rename from dev/assets/ztelvwq.BaZeu6ul.png
rename to dev/assets/agonpww.BaZeu6ul.png
diff --git a/dev/assets/api.md.CkuSh6jq.js b/dev/assets/api.md.rQD2kXGa.js
similarity index 98%
rename from dev/assets/api.md.CkuSh6jq.js
rename to dev/assets/api.md.rQD2kXGa.js
index 82b735118..436a572c8 100644
--- a/dev/assets/api.md.CkuSh6jq.js
+++ b/dev/assets/api.md.rQD2kXGa.js
@@ -1,4 +1,4 @@
-import{_ as n,c as e,j as s,a,a6 as i,o as t}from"./chunks/framework.DJCAxKqx.js";const S=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.Cn4AE4RY.js";const S=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/dev/assets/api.md.CkuSh6jq.lean.js b/dev/assets/api.md.rQD2kXGa.lean.js
similarity index 98%
rename from dev/assets/api.md.CkuSh6jq.lean.js
rename to dev/assets/api.md.rQD2kXGa.lean.js
index 59aa3fbdc..a66a34c5b 100644
--- a/dev/assets/api.md.CkuSh6jq.lean.js
+++ b/dev/assets/api.md.rQD2kXGa.lean.js
@@ -1 +1 @@
-import{_ as n,c as e,j as s,a,a6 as i,o as t}from"./chunks/framework.DJCAxKqx.js";const S=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h=i("",174),p={style:{"border-width":"1px","border-style":"solid","border-color":"black",padding:"1em","border-radius":"25px"}},r=s("a",{id:"GeometryOps.isclockwise-Tuple{Any}",href:"#GeometryOps.isclockwise-Tuple{Any}"},"#",-1),k=s("b",null,[s("u",null,"GeometryOps.isclockwise")],-1),o=s("i",null,"Method",-1),d=i("",2),g={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.827ex"},xmlns:"http://www.w3.org/2000/svg",width:"33.539ex",height:"6.785ex",role:"img",focusable:"false",viewBox:"0 -1749.5 14824.1 2999","aria-hidden":"true"},E=i("",1),c=[E],u=s("mjx-assistive-mml",{unselectable:"on",display:"block",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",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("munderover",null,[s("mo",{"data-mjx-texclass":"OP"},"∑"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"i"),s("mo",null,"="),s("mn",null,"2")]),s("mi",null,"n")]),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mi",null,"i")]),s("mo",null,"−"),s("msub",null,[s("mi",null,"x"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"i"),s("mo",null,"−"),s("mn",null,"1")])]),s("mo",{stretchy:"false"},")"),s("mo",null,"⋅"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"y"),s("mi",null,"i")]),s("mo",null,"+"),s("msub",null,[s("mi",null,"y"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"i"),s("mo",null,"−"),s("mn",null,"1")])]),s("mo",{stretchy:"false"},")"),s("mo",{"data-mjx-texclass":"CLOSE"},")")]),s("mo",null,">"),s("mn",null,"0")])],-1),m=i("",3),F=i("",37),b={style:{"border-width":"1px","border-style":"solid","border-color":"black",padding:"1em","border-radius":"25px"}},C=s("a",{id:"GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}",href:"#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}"},"#",-1),T=s("b",null,[s("u",null,"GeometryOps.t_value")],-1),f=s("i",null,"Method",-1),v=i("",3),A={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},G={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.059ex"},xmlns:"http://www.w3.org/2000/svg",width:"27.746ex",height:"5.362ex",role:"img",focusable:"false",viewBox:"0 -1460 12263.9 2370","aria-hidden":"true"},B=i("",1),O=[B],D=s("mjx-assistive-mml",{unselectable:"on",display:"block",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",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mi",null,"t"),s("mi",null,"ᵢ"),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",{"data-mjx-auto-op":"false"},"det")]),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mo",null,","),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])]),s("mrow",null,[s("mi",null,"r"),s("mi",null,"ᵢ"),s("mo",null,"∗"),s("mi",null,"r"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")]),s("mo",null,"+"),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mo",null,"⋅"),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")])])])])],-1),j=i("",3),x=i("",17);function w(Q,_,I,L,P,M){return t(),e("div",null,[h,s("div",p,[r,a(" "),k,a(" — "),o,a(". "),d,s("mjx-container",g,[(t(),e("svg",y,c)),u]),m]),F,s("div",b,[C,a(" "),T,a(" — "),f,a(". "),v,s("mjx-container",A,[(t(),e("svg",G,O)),D]),j]),x])}const R=n(l,[["render",w]]);export{S as __pageData,R as default};
+import{_ as n,c as e,j as s,a,a6 as i,o as t}from"./chunks/framework.Cn4AE4RY.js";const S=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h=i("",174),p={style:{"border-width":"1px","border-style":"solid","border-color":"black",padding:"1em","border-radius":"25px"}},r=s("a",{id:"GeometryOps.isclockwise-Tuple{Any}",href:"#GeometryOps.isclockwise-Tuple{Any}"},"#",-1),k=s("b",null,[s("u",null,"GeometryOps.isclockwise")],-1),o=s("i",null,"Method",-1),d=i("",2),g={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.827ex"},xmlns:"http://www.w3.org/2000/svg",width:"33.539ex",height:"6.785ex",role:"img",focusable:"false",viewBox:"0 -1749.5 14824.1 2999","aria-hidden":"true"},E=i("",1),c=[E],u=s("mjx-assistive-mml",{unselectable:"on",display:"block",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 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Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}",href:"#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}"},"#",-1),T=s("b",null,[s("u",null,"GeometryOps.t_value")],-1),f=s("i",null,"Method",-1),v=i("",3),A={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},G={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.059ex"},xmlns:"http://www.w3.org/2000/svg",width:"27.746ex",height:"5.362ex",role:"img",focusable:"false",viewBox:"0 -1460 12263.9 2370","aria-hidden":"true"},B=i("",1),O=[B],D=s("mjx-assistive-mml",{unselectable:"on",display:"block",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",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mi",null,"t"),s("mi",null,"ᵢ"),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",{"data-mjx-auto-op":"false"},"det")]),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mo",null,","),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])]),s("mrow",null,[s("mi",null,"r"),s("mi",null,"ᵢ"),s("mo",null,"∗"),s("mi",null,"r"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")]),s("mo",null,"+"),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mo",null,"⋅"),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")])])])])],-1),j=i("",3),x=i("",17);function w(Q,_,I,L,P,M){return t(),e("div",null,[h,s("div",p,[r,a(" "),k,a(" — "),o,a(". 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diff --git a/dev/assets/app.oec8VcUH.js b/dev/assets/app.CA40rNDd.js
similarity index 90%
rename from dev/assets/app.oec8VcUH.js
rename to dev/assets/app.CA40rNDd.js
index 96ffd0e0e..7fc095bd8 100644
--- a/dev/assets/app.oec8VcUH.js
+++ b/dev/assets/app.CA40rNDd.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.DJCAxKqx.js";import{R as S}from"./chunks/theme.6tp5pyaY.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%
rename from dev/assets/tsxqssm.CLtpJ5Wb.png
rename to dev/assets/bctnugx.CLtpJ5Wb.png
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similarity index 100%
rename from dev/assets/fsaruhm.CgiryX2p.png
rename to dev/assets/bwfdhev.CgiryX2p.png
diff --git a/dev/assets/tylalup._0R9BbFk.png b/dev/assets/bwnluwe._0R9BbFk.png
similarity index 100%
rename from dev/assets/tylalup._0R9BbFk.png
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similarity index 96%
rename from dev/assets/call_notes.md.ChgwnOQ4.js
rename to dev/assets/call_notes.md.BgkWRF-N.js
index 9f78f02dc..7d20e4c80 100644
--- a/dev/assets/call_notes.md.ChgwnOQ4.js
+++ b/dev/assets/call_notes.md.BgkWRF-N.js
@@ -1 +1 @@
-import{_ as e,c as i,o as l,a6 as t}from"./chunks/framework.DJCAxKqx.js";const m=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"call_notes.md","filePath":"call_notes.md","lastUpdated":null}'),o={name:"call_notes.md"},a=t('
20th April, 2024 ​
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections
',8),n=[a];function r(s,p,c,d,h,u){return l(),i("div",null,n)}const g=e(o,[["render",r]]);export{m as __pageData,g as default};
+import{_ as e,c as i,o as l,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const m=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"call_notes.md","filePath":"call_notes.md","lastUpdated":null}'),o={name:"call_notes.md"},a=t('
20th April, 2024 ​
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections
',8),n=[a];function r(s,p,c,d,h,u){return l(),i("div",null,n)}const g=e(o,[["render",r]]);export{m as __pageData,g as default};
diff --git a/dev/assets/call_notes.md.ChgwnOQ4.lean.js b/dev/assets/call_notes.md.BgkWRF-N.lean.js
similarity index 67%
rename from dev/assets/call_notes.md.ChgwnOQ4.lean.js
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index 6c5193c44..0a30633ab 100644
--- a/dev/assets/call_notes.md.ChgwnOQ4.lean.js
+++ b/dev/assets/call_notes.md.BgkWRF-N.lean.js
@@ -1 +1 @@
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diff --git a/dev/assets/rubxwyt.Bglvb-jp.png b/dev/assets/cdxygpr.Bglvb-jp.png
similarity index 100%
rename from dev/assets/rubxwyt.Bglvb-jp.png
rename to dev/assets/cdxygpr.Bglvb-jp.png
diff --git a/dev/assets/dpnspcr.BwdbZIFa.png b/dev/assets/celywry.BwdbZIFa.png
similarity index 100%
rename from dev/assets/dpnspcr.BwdbZIFa.png
rename to dev/assets/celywry.BwdbZIFa.png
diff --git a/dev/assets/chunks/@localSearchIndexroot.BDwsp95W.js b/dev/assets/chunks/@localSearchIndexroot.BDwsp95W.js
deleted file mode 100644
index 54a9a6357..000000000
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+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/dev/assets/chunks/framework.DJCAxKqx.js b/dev/assets/chunks/framework.Cn4AE4RY.js
similarity index 55%
rename from dev/assets/chunks/framework.DJCAxKqx.js
rename to dev/assets/chunks/framework.Cn4AE4RY.js
index 10497f340..965ccc310 100644
--- a/dev/assets/chunks/framework.DJCAxKqx.js
+++ b/dev/assets/chunks/framework.Cn4AE4RY.js
@@ -1,17 +1,17 @@
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diff --git a/dev/assets/chunks/theme.6tp5pyaY.js b/dev/assets/chunks/theme.DbCPXDpc.js
similarity index 99%
rename from dev/assets/chunks/theme.6tp5pyaY.js
rename to dev/assets/chunks/theme.DbCPXDpc.js
index 68471ec75..e8d9f159a 100644
--- a/dev/assets/chunks/theme.6tp5pyaY.js
+++ b/dev/assets/chunks/theme.DbCPXDpc.js
@@ -1,2 +1,2 @@
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diff --git a/dev/assets/gczwvdd.CULn5saZ.png b/dev/assets/cpodmjs.CULn5saZ.png
similarity index 100%
rename from dev/assets/gczwvdd.CULn5saZ.png
rename to dev/assets/cpodmjs.CULn5saZ.png
diff --git a/dev/assets/dxdsfvw.DC3TvBOO.png b/dev/assets/dzmvkuy.DC3TvBOO.png
similarity index 100%
rename from dev/assets/dxdsfvw.DC3TvBOO.png
rename to dev/assets/dzmvkuy.DC3TvBOO.png
diff --git a/dev/assets/etiswta.BKLZ4IeK.png b/dev/assets/etiswta.BKLZ4IeK.png
deleted file mode 100644
index 9c9bb805e..000000000
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diff --git a/dev/assets/experiments_accurate_accumulators.md.D2JpOeKA.js b/dev/assets/experiments_accurate_accumulators.md.C593E-Mp.js
similarity index 98%
rename from dev/assets/experiments_accurate_accumulators.md.D2JpOeKA.js
rename to dev/assets/experiments_accurate_accumulators.md.C593E-Mp.js
index 6d2fb4619..961f5a0e8 100644
--- a/dev/assets/experiments_accurate_accumulators.md.D2JpOeKA.js
+++ b/dev/assets/experiments_accurate_accumulators.md.C593E-Mp.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t(`
Accurate accumulation ​
Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.
We will use the accurate sum routines from AccurateArithmetic.jl to show the difference!
julia
import GeometryOps as GO, GeoInterface as GI
+import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t(`
Accurate accumulation ​
Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.
We will use the accurate sum routines from AccurateArithmetic.jl to show the difference!
julia
import GeometryOps as GO, GeoInterface as GI
 using GeoJSON
 using AccurateArithmetic
 using NaturalEarth
diff --git a/dev/assets/experiments_accurate_accumulators.md.D2JpOeKA.lean.js b/dev/assets/experiments_accurate_accumulators.md.C593E-Mp.lean.js
similarity index 73%
rename from dev/assets/experiments_accurate_accumulators.md.D2JpOeKA.lean.js
rename to dev/assets/experiments_accurate_accumulators.md.C593E-Mp.lean.js
index 4f2c8e43d..a3b898aeb 100644
--- a/dev/assets/experiments_accurate_accumulators.md.D2JpOeKA.lean.js
+++ b/dev/assets/experiments_accurate_accumulators.md.C593E-Mp.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t("",16),l=[n];function h(p,k,d,r,c,g){return a(),i("div",null,l)}const u=s(e,[["render",h]]);export{o as __pageData,u as default};
+import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t("",16),l=[n];function h(p,k,d,r,c,g){return a(),i("div",null,l)}const u=s(e,[["render",h]]);export{o as __pageData,u as default};
diff --git a/dev/assets/experiments_predicates.md.ywf1OxYc.js b/dev/assets/experiments_predicates.md.FxkndFWW.js
similarity index 99%
rename from dev/assets/experiments_predicates.md.ywf1OxYc.js
rename to dev/assets/experiments_predicates.md.FxkndFWW.js
index 752751bc8..3f38e0411 100644
--- a/dev/assets/experiments_predicates.md.ywf1OxYc.js
+++ b/dev/assets/experiments_predicates.md.FxkndFWW.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.DJCAxKqx.js";const k="/GeometryOps.jl/dev/assets/laqnjgl.BVOogrcl.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.Cn4AE4RY.js";const k="/GeometryOps.jl/dev/assets/pnmvqii.9spoJ0bl.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/dev/assets/experiments_predicates.md.ywf1OxYc.lean.js b/dev/assets/experiments_predicates.md.FxkndFWW.lean.js
similarity index 73%
rename from dev/assets/experiments_predicates.md.ywf1OxYc.lean.js
rename to dev/assets/experiments_predicates.md.FxkndFWW.lean.js
index 6e6378987..afa6979a4 100644
--- a/dev/assets/experiments_predicates.md.ywf1OxYc.lean.js
+++ b/dev/assets/experiments_predicates.md.FxkndFWW.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.DJCAxKqx.js";const k="/GeometryOps.jl/dev/assets/laqnjgl.BVOogrcl.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.Cn4AE4RY.js";const k="/GeometryOps.jl/dev/assets/pnmvqii.9spoJ0bl.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/dev/assets/explanations_crs.md.C58USpoD.js b/dev/assets/explanations_crs.md.RW2g_dsX.js
similarity index 83%
rename from dev/assets/explanations_crs.md.C58USpoD.js
rename to dev/assets/explanations_crs.md.RW2g_dsX.js
index 7ce452ad2..cce42a2a3 100644
--- a/dev/assets/explanations_crs.md.C58USpoD.js
+++ b/dev/assets/explanations_crs.md.RW2g_dsX.js
@@ -1 +1 @@
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+import{_ as e,c as t,o as a}from"./chunks/framework.Cn4AE4RY.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
diff --git a/dev/assets/explanations_crs.md.C58USpoD.lean.js b/dev/assets/explanations_crs.md.RW2g_dsX.lean.js
similarity index 83%
rename from dev/assets/explanations_crs.md.C58USpoD.lean.js
rename to dev/assets/explanations_crs.md.RW2g_dsX.lean.js
index 7ce452ad2..cce42a2a3 100644
--- a/dev/assets/explanations_crs.md.C58USpoD.lean.js
+++ b/dev/assets/explanations_crs.md.RW2g_dsX.lean.js
@@ -1 +1 @@
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+import{_ as e,c as t,o as a}from"./chunks/framework.Cn4AE4RY.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
diff --git a/dev/assets/explanations_paradigms.md.D8SW9MN_.js b/dev/assets/explanations_paradigms.md.BdXXuoZM.js
similarity index 97%
rename from dev/assets/explanations_paradigms.md.D8SW9MN_.js
rename to dev/assets/explanations_paradigms.md.BdXXuoZM.js
index d5dae8293..f6e8f8627 100644
--- a/dev/assets/explanations_paradigms.md.D8SW9MN_.js
+++ b/dev/assets/explanations_paradigms.md.BdXXuoZM.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a6 as o}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o('
Paradigms ​
GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.
Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!
apply ​
The apply function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:
julia
apply(f, trait::Trait, geom)
Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.
apply will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.
apply is unlike map in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.
applyreduce ​
applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).
fix and prepare ​
The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.
In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)
',14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
+import{_ as e,c as a,o as t,a6 as o}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o('
Paradigms ​
GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.
Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!
apply ​
The apply function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:
julia
apply(f, trait::Trait, geom)
Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.
apply will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.
apply is unlike map in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.
applyreduce ​
applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).
fix and prepare ​
The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.
In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)
',14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
diff --git a/dev/assets/explanations_paradigms.md.D8SW9MN_.lean.js b/dev/assets/explanations_paradigms.md.BdXXuoZM.lean.js
similarity index 70%
rename from dev/assets/explanations_paradigms.md.D8SW9MN_.lean.js
rename to dev/assets/explanations_paradigms.md.BdXXuoZM.lean.js
index b031bc142..4e2402df6 100644
--- a/dev/assets/explanations_paradigms.md.D8SW9MN_.lean.js
+++ b/dev/assets/explanations_paradigms.md.BdXXuoZM.lean.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a6 as o}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o("",14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
+import{_ as e,c as a,o as t,a6 as o}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o("",14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
diff --git a/dev/assets/explanations_peculiarities.md.CYDu54kk.js b/dev/assets/explanations_peculiarities.md.BtAE3xNP.js
similarity index 96%
rename from dev/assets/explanations_peculiarities.md.CYDu54kk.js
rename to dev/assets/explanations_peculiarities.md.BtAE3xNP.js
index 4b27e03b3..4d7a232f5 100644
--- a/dev/assets/explanations_peculiarities.md.CYDu54kk.js
+++ b/dev/assets/explanations_peculiarities.md.BtAE3xNP.js
@@ -1 +1 @@
-import{_ as e,c as o,o as t,a6 as a}from"./chunks/framework.DJCAxKqx.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a('
Peculiarities ​
What does apply return and why? ​
apply returns the target geometries returned by f, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching GeoInterface.trait to the originals. All non-geointerface iterables become Arrays. Tables.jl compatible tables are converted either back to the original type if a Tables.materializer is defined, and if not then returned as generic NamedTuple column tables (i.e., a NamedTuple of vectors).
It is recommended for consistency that f returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.
Why do you want me to provide a target in set operations? ​
In polygon set operations like intersection, difference, and union, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.
We use the target keyword to allow the user to control which kinds of geometry they want back. For example, setting target to PolygonTrait will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement MultiPolygonTrait or GeometryCollectionTrait targets which will return a single geometry, as LibGEOS and ArchGDAL do.
This also allows for a lot more type stability - when you ask for polygons, we won't return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.
_True and _False (or BoolsAsTypes) ​
Warning
These are internals and explicitly not public API, meaning they may change at any time!
When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like threaded and calc_extent in apply, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about
',11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
+import{_ as e,c as o,o as t,a6 as a}from"./chunks/framework.Cn4AE4RY.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a('
Peculiarities ​
What does apply return and why? ​
apply returns the target geometries returned by f, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching GeoInterface.trait to the originals. All non-geointerface iterables become Arrays. Tables.jl compatible tables are converted either back to the original type if a Tables.materializer is defined, and if not then returned as generic NamedTuple column tables (i.e., a NamedTuple of vectors).
It is recommended for consistency that f returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.
Why do you want me to provide a target in set operations? ​
In polygon set operations like intersection, difference, and union, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.
We use the target keyword to allow the user to control which kinds of geometry they want back. For example, setting target to PolygonTrait will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement MultiPolygonTrait or GeometryCollectionTrait targets which will return a single geometry, as LibGEOS and ArchGDAL do.
This also allows for a lot more type stability - when you ask for polygons, we won't return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.
_True and _False (or BoolsAsTypes) ​
Warning
These are internals and explicitly not public API, meaning they may change at any time!
When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like threaded and calc_extent in apply, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about
',11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
diff --git a/dev/assets/explanations_peculiarities.md.CYDu54kk.lean.js b/dev/assets/explanations_peculiarities.md.BtAE3xNP.lean.js
similarity index 71%
rename from dev/assets/explanations_peculiarities.md.CYDu54kk.lean.js
rename to dev/assets/explanations_peculiarities.md.BtAE3xNP.lean.js
index e3c074dfc..94a6ab445 100644
--- a/dev/assets/explanations_peculiarities.md.CYDu54kk.lean.js
+++ b/dev/assets/explanations_peculiarities.md.BtAE3xNP.lean.js
@@ -1 +1 @@
-import{_ as e,c as o,o as t,a6 as a}from"./chunks/framework.DJCAxKqx.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a("",11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
+import{_ as e,c as o,o as t,a6 as a}from"./chunks/framework.Cn4AE4RY.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a("",11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
diff --git a/dev/assets/explanations_winding_order.md.CcBW0gLF.js b/dev/assets/explanations_winding_order.md.CrPNvwbs.js
similarity index 84%
rename from dev/assets/explanations_winding_order.md.CcBW0gLF.js
rename to dev/assets/explanations_winding_order.md.CrPNvwbs.js
index 1d4c78f0a..adf4bdd52 100644
--- a/dev/assets/explanations_winding_order.md.CcBW0gLF.js
+++ b/dev/assets/explanations_winding_order.md.CrPNvwbs.js
@@ -1 +1 @@
-import{_ as e,c as n,o as t}from"./chunks/framework.DJCAxKqx.js";const l=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/winding_order.md","filePath":"explanations/winding_order.md","lastUpdated":null}'),a={name:"explanations/winding_order.md"};function r(o,i,d,s,c,p){return t(),n("div")}const m=e(a,[["render",r]]);export{l as __pageData,m as default};
+import{_ as e,c as n,o as t}from"./chunks/framework.Cn4AE4RY.js";const l=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/winding_order.md","filePath":"explanations/winding_order.md","lastUpdated":null}'),a={name:"explanations/winding_order.md"};function r(o,i,d,s,c,p){return t(),n("div")}const m=e(a,[["render",r]]);export{l as __pageData,m as default};
diff --git a/dev/assets/explanations_winding_order.md.CcBW0gLF.lean.js b/dev/assets/explanations_winding_order.md.CrPNvwbs.lean.js
similarity index 84%
rename from dev/assets/explanations_winding_order.md.CcBW0gLF.lean.js
rename to dev/assets/explanations_winding_order.md.CrPNvwbs.lean.js
index 1d4c78f0a..adf4bdd52 100644
--- a/dev/assets/explanations_winding_order.md.CcBW0gLF.lean.js
+++ b/dev/assets/explanations_winding_order.md.CrPNvwbs.lean.js
@@ -1 +1 @@
-import{_ as e,c as n,o as t}from"./chunks/framework.DJCAxKqx.js";const l=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/winding_order.md","filePath":"explanations/winding_order.md","lastUpdated":null}'),a={name:"explanations/winding_order.md"};function r(o,i,d,s,c,p){return t(),n("div")}const m=e(a,[["render",r]]);export{l as __pageData,m as default};
+import{_ as e,c as n,o as t}from"./chunks/framework.Cn4AE4RY.js";const l=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/winding_order.md","filePath":"explanations/winding_order.md","lastUpdated":null}'),a={name:"explanations/winding_order.md"};function r(o,i,d,s,c,p){return t(),n("div")}const m=e(a,[["render",r]]);export{l as __pageData,m as default};
diff --git a/dev/assets/feaqxvm.BJdVM-74.png b/dev/assets/feaqxvm.BJdVM-74.png
deleted file mode 100644
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Binary files a/dev/assets/feaqxvm.BJdVM-74.png and /dev/null differ
diff --git a/dev/assets/ttcouzn.C3SxJ3x-.png b/dev/assets/ffjkfau.C3SxJ3x-.png
similarity index 100%
rename from dev/assets/ttcouzn.C3SxJ3x-.png
rename to dev/assets/ffjkfau.C3SxJ3x-.png
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similarity index 100%
rename from dev/assets/hvmdkgb.BD0hVfse.png
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similarity index 100%
rename from dev/assets/fywrqdl.yuGUdylf.png
rename to dev/assets/hyfmeiz.yuGUdylf.png
diff --git a/dev/assets/index.md.eRsZ4vQP.js b/dev/assets/index.md.BIBrF1Jk.js
similarity index 94%
rename from dev/assets/index.md.eRsZ4vQP.js
rename to dev/assets/index.md.BIBrF1Jk.js
index ba45db056..4c4cc3b69 100644
--- a/dev/assets/index.md.eRsZ4vQP.js
+++ b/dev/assets/index.md.BIBrF1Jk.js
@@ -1 +1 @@
-import{_ as i,c as a,o,j as e,a as t}from"./chunks/framework.DJCAxKqx.js";const b=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"GeometryOps.jl","text":"","tagline":"Blazing fast geometry operations in pure Julia","image":{"src":"/logo.png","alt":"GeometryOps"},"actions":[{"theme":"brand","text":"Introduction","link":"/introduction"},{"theme":"alt","text":"View on Github","link":"https://github.com/JuliaGeo/GeometryOps.jl"},{"theme":"alt","text":"API Reference","link":"/api"}]},"features":[{"icon":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","title":"Full integration with GeoInterface","details":"Use any GeoInterface.jl-compatible geometry","link":"https://juliageo.org/GeoInterface.jl/stable"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":null}'),s={name:"index.md"},n=e("p",{style:{"margin-bottom":"2cm"}},null,-1),l=e("div",{class:"vp-doc",style:{width:"80%",margin:"auto"}},[e("h1",null," What is GeometryOps.jl? "),e("p",null,"GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries."),e("p",null,[t("The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them "),e("a",{href:"https://github.com/JuliaGeo/GeoInterface.jl",target:"_blank",rel:"noreferrer"},"GeoInterface.jl"),t("-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.")]),e("p",null,"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."),e("p",null,"We welcome contributions, either as pull requests or discussion on issues!")],-1),r=[n,l];function c(d,u,h,m,g,p){return o(),a("div",null,r)}const _=i(s,[["render",c]]);export{b as __pageData,_ as default};
+import{_ as i,c as a,o,j as e,a as t}from"./chunks/framework.Cn4AE4RY.js";const b=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"GeometryOps.jl","text":"","tagline":"Blazing fast geometry operations in pure Julia","image":{"src":"/logo.png","alt":"GeometryOps"},"actions":[{"theme":"brand","text":"Introduction","link":"/introduction"},{"theme":"alt","text":"View on Github","link":"https://github.com/JuliaGeo/GeometryOps.jl"},{"theme":"alt","text":"API Reference","link":"/api"}]},"features":[{"icon":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","title":"Full integration with GeoInterface","details":"Use any GeoInterface.jl-compatible geometry","link":"https://juliageo.org/GeoInterface.jl/stable"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":null}'),s={name:"index.md"},n=e("p",{style:{"margin-bottom":"2cm"}},null,-1),l=e("div",{class:"vp-doc",style:{width:"80%",margin:"auto"}},[e("h1",null," What is GeometryOps.jl? "),e("p",null,"GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries."),e("p",null,[t("The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them "),e("a",{href:"https://github.com/JuliaGeo/GeoInterface.jl",target:"_blank",rel:"noreferrer"},"GeoInterface.jl"),t("-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.")]),e("p",null,"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."),e("p",null,"We welcome contributions, either as pull requests or discussion on issues!")],-1),r=[n,l];function c(d,u,h,m,g,p){return o(),a("div",null,r)}const _=i(s,[["render",c]]);export{b as __pageData,_ as default};
diff --git a/dev/assets/index.md.eRsZ4vQP.lean.js b/dev/assets/index.md.BIBrF1Jk.lean.js
similarity index 94%
rename from dev/assets/index.md.eRsZ4vQP.lean.js
rename to dev/assets/index.md.BIBrF1Jk.lean.js
index ba45db056..4c4cc3b69 100644
--- a/dev/assets/index.md.eRsZ4vQP.lean.js
+++ b/dev/assets/index.md.BIBrF1Jk.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o,j as e,a as t}from"./chunks/framework.DJCAxKqx.js";const b=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"GeometryOps.jl","text":"","tagline":"Blazing fast geometry operations in pure Julia","image":{"src":"/logo.png","alt":"GeometryOps"},"actions":[{"theme":"brand","text":"Introduction","link":"/introduction"},{"theme":"alt","text":"View on Github","link":"https://github.com/JuliaGeo/GeometryOps.jl"},{"theme":"alt","text":"API Reference","link":"/api"}]},"features":[{"icon":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","title":"Full integration with GeoInterface","details":"Use any GeoInterface.jl-compatible geometry","link":"https://juliageo.org/GeoInterface.jl/stable"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":null}'),s={name:"index.md"},n=e("p",{style:{"margin-bottom":"2cm"}},null,-1),l=e("div",{class:"vp-doc",style:{width:"80%",margin:"auto"}},[e("h1",null," What is GeometryOps.jl? "),e("p",null,"GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries."),e("p",null,[t("The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them "),e("a",{href:"https://github.com/JuliaGeo/GeoInterface.jl",target:"_blank",rel:"noreferrer"},"GeoInterface.jl"),t("-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.")]),e("p",null,"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."),e("p",null,"We welcome contributions, either as pull requests or discussion on issues!")],-1),r=[n,l];function c(d,u,h,m,g,p){return o(),a("div",null,r)}const _=i(s,[["render",c]]);export{b as __pageData,_ as default};
+import{_ as i,c as a,o,j as e,a as t}from"./chunks/framework.Cn4AE4RY.js";const b=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"GeometryOps.jl","text":"","tagline":"Blazing fast geometry operations in pure Julia","image":{"src":"/logo.png","alt":"GeometryOps"},"actions":[{"theme":"brand","text":"Introduction","link":"/introduction"},{"theme":"alt","text":"View on Github","link":"https://github.com/JuliaGeo/GeometryOps.jl"},{"theme":"alt","text":"API Reference","link":"/api"}]},"features":[{"icon":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","title":"Full integration with GeoInterface","details":"Use any GeoInterface.jl-compatible geometry","link":"https://juliageo.org/GeoInterface.jl/stable"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":null}'),s={name:"index.md"},n=e("p",{style:{"margin-bottom":"2cm"}},null,-1),l=e("div",{class:"vp-doc",style:{width:"80%",margin:"auto"}},[e("h1",null," What is GeometryOps.jl? "),e("p",null,"GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries."),e("p",null,[t("The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them "),e("a",{href:"https://github.com/JuliaGeo/GeoInterface.jl",target:"_blank",rel:"noreferrer"},"GeoInterface.jl"),t("-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.")]),e("p",null,"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."),e("p",null,"We welcome contributions, either as pull requests or discussion on issues!")],-1),r=[n,l];function c(d,u,h,m,g,p){return o(),a("div",null,r)}const _=i(s,[["render",c]]);export{b as __pageData,_ as default};
diff --git a/dev/assets/introduction.md.Cve25PKI.js b/dev/assets/introduction.md.DMdTkg1L.js
similarity index 95%
rename from dev/assets/introduction.md.Cve25PKI.js
rename to dev/assets/introduction.md.DMdTkg1L.js
index d17849d4a..11df39404 100644
--- a/dev/assets/introduction.md.Cve25PKI.js
+++ b/dev/assets/introduction.md.DMdTkg1L.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a6 as o}from"./chunks/framework.DJCAxKqx.js";const f=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),i={name:"introduction.md"},r=o('
Introduction ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.
We welcome contributions, either as pull requests or discussion on issues!
Main concepts ​
The apply paradigm ​
Note
See the Primitive Functions page for more information on this.
The apply function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.
Functionally, it's similar to map in the way you apply it to geometries.
apply and applyreduce take any geometry, vector of geometries, collection of geometries, or table (like Shapefile.Table, DataFrame, or GeoTable)!
What's this GeoInterface.Wrapper thing? ​
Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.
',13),n=[r];function c(s,p,l,d,h,m){return t(),a("div",null,n)}const g=e(i,[["render",c]]);export{f as __pageData,g as default};
+import{_ as e,c as a,o as t,a6 as o}from"./chunks/framework.Cn4AE4RY.js";const f=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),i={name:"introduction.md"},r=o('
Introduction ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.
We welcome contributions, either as pull requests or discussion on issues!
Main concepts ​
The apply paradigm ​
Note
See the Primitive Functions page for more information on this.
The apply function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.
Functionally, it's similar to map in the way you apply it to geometries.
apply and applyreduce take any geometry, vector of geometries, collection of geometries, or table (like Shapefile.Table, DataFrame, or GeoTable)!
What's this GeoInterface.Wrapper thing? ​
Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.
',13),n=[r];function c(s,p,l,d,h,m){return t(),a("div",null,n)}const g=e(i,[["render",c]]);export{f as __pageData,g as default};
diff --git a/dev/assets/introduction.md.Cve25PKI.lean.js b/dev/assets/introduction.md.DMdTkg1L.lean.js
similarity index 68%
rename from dev/assets/introduction.md.Cve25PKI.lean.js
rename to dev/assets/introduction.md.DMdTkg1L.lean.js
index 75eb1d568..9268cf7d7 100644
--- a/dev/assets/introduction.md.Cve25PKI.lean.js
+++ b/dev/assets/introduction.md.DMdTkg1L.lean.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a6 as o}from"./chunks/framework.DJCAxKqx.js";const f=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),i={name:"introduction.md"},r=o("",13),n=[r];function c(s,p,l,d,h,m){return t(),a("div",null,n)}const g=e(i,[["render",c]]);export{f as __pageData,g as default};
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diff --git a/dev/assets/source_GeometryOps.md.Bm0ymJAW.js b/dev/assets/source_GeometryOps.md.boxMvQM9.js
similarity index 99%
rename from dev/assets/source_GeometryOps.md.Bm0ymJAW.js
rename to dev/assets/source_GeometryOps.md.boxMvQM9.js
index 9bc96da4a..58d52835b 100644
--- a/dev/assets/source_GeometryOps.md.Bm0ymJAW.js
+++ b/dev/assets/source_GeometryOps.md.boxMvQM9.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n(`
GeometryOps.jl ​
julia
module GeometryOps
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n(`
GeometryOps.jl ​
julia
module GeometryOps
 
 using GeoInterface
 using GeometryBasics
diff --git a/dev/assets/source_GeometryOps.md.Bm0ymJAW.lean.js b/dev/assets/source_GeometryOps.md.boxMvQM9.lean.js
similarity index 70%
rename from dev/assets/source_GeometryOps.md.Bm0ymJAW.lean.js
rename to dev/assets/source_GeometryOps.md.boxMvQM9.lean.js
index 9a5bda38c..c79a8ae43 100644
--- a/dev/assets/source_GeometryOps.md.Bm0ymJAW.lean.js
+++ b/dev/assets/source_GeometryOps.md.boxMvQM9.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n("",8),t=[h];function k(p,e,E,r,d,g){return a(),i("div",null,t)}const F=s(l,[["render",k]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n("",8),t=[h];function k(p,e,E,r,d,g){return a(),i("div",null,t)}const F=s(l,[["render",k]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_methods_angles.md.C3neVDdd.js b/dev/assets/source_methods_angles.md.D0niQHhL.js
similarity index 99%
rename from dev/assets/source_methods_angles.md.C3neVDdd.js
rename to dev/assets/source_methods_angles.md.D0niQHhL.js
index 69d83d9e1..2116afc89 100644
--- a/dev/assets/source_methods_angles.md.C3neVDdd.js
+++ b/dev/assets/source_methods_angles.md.D0niQHhL.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/dyedorw.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/sebqubo.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/dev/assets/source_methods_angles.md.C3neVDdd.lean.js b/dev/assets/source_methods_angles.md.D0niQHhL.lean.js
similarity index 73%
rename from dev/assets/source_methods_angles.md.C3neVDdd.lean.js
rename to dev/assets/source_methods_angles.md.D0niQHhL.lean.js
index 84b70186a..e6ff1924e 100644
--- a/dev/assets/source_methods_angles.md.C3neVDdd.lean.js
+++ b/dev/assets/source_methods_angles.md.D0niQHhL.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/dyedorw.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/sebqubo.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/dev/assets/source_methods_area.md.C8L1Rx14.js b/dev/assets/source_methods_area.md.ViSpv5jv.js
similarity index 99%
rename from dev/assets/source_methods_area.md.C8L1Rx14.js
rename to dev/assets/source_methods_area.md.ViSpv5jv.js
index 7d8d6503f..4fefdaf65 100644
--- a/dev/assets/source_methods_area.md.C8L1Rx14.js
+++ b/dev/assets/source_methods_area.md.ViSpv5jv.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/dyedorw.Dig-DWOQ.png",t="/GeometryOps.jl/dev/assets/gczwvdd.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/sebqubo.Dig-DWOQ.png",t="/GeometryOps.jl/dev/assets/cpodmjs.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/dev/assets/source_methods_area.md.C8L1Rx14.lean.js b/dev/assets/source_methods_area.md.ViSpv5jv.lean.js
similarity index 64%
rename from dev/assets/source_methods_area.md.C8L1Rx14.lean.js
rename to dev/assets/source_methods_area.md.ViSpv5jv.lean.js
index 22e77f182..8349e6337 100644
--- a/dev/assets/source_methods_area.md.C8L1Rx14.lean.js
+++ b/dev/assets/source_methods_area.md.ViSpv5jv.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/dyedorw.Dig-DWOQ.png",t="/GeometryOps.jl/dev/assets/gczwvdd.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/sebqubo.Dig-DWOQ.png",t="/GeometryOps.jl/dev/assets/cpodmjs.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/dev/assets/source_methods_barycentric.md.CraLUsaE.js b/dev/assets/source_methods_barycentric.md.DM1w8Erc.js
similarity index 99%
rename from dev/assets/source_methods_barycentric.md.CraLUsaE.js
rename to dev/assets/source_methods_barycentric.md.DM1w8Erc.js
index 289c21738..43cc7ec89 100644
--- a/dev/assets/source_methods_barycentric.md.CraLUsaE.js
+++ b/dev/assets/source_methods_barycentric.md.DM1w8Erc.js
@@ -1,4 +1,4 @@
-import{_ as h,c as a,j as s,a as i,a6 as t,o as n}from"./chunks/framework.DJCAxKqx.js";const L=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=t(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
+import{_ as h,c as a,j as s,a as i,a6 as t,o as n}from"./chunks/framework.Cn4AE4RY.js";const L=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=t(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
 export MeanValue
Generalized barycentric coordinates are a generalization of barycentric coordinates, which are typically used in triangles, to arbitrary polygons.
They provide a way to express a point within a polygon as a weighted average of the polygon's vertices.
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-750 6575.4 1000","aria-hidden":"true"},b=t('',1),Q=[b],_=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1),v=t(`
As with the triangle case, the weights sum to 1, and each is non-negative.
Example ​
This example was taken from this page of CGAL's documentation.
@example
using GeometryOps
 using GeometryOps.GeometryBasics
 using Makie
diff --git a/dev/assets/source_methods_barycentric.md.CraLUsaE.lean.js b/dev/assets/source_methods_barycentric.md.DM1w8Erc.lean.js
similarity index 99%
rename from dev/assets/source_methods_barycentric.md.CraLUsaE.lean.js
rename to dev/assets/source_methods_barycentric.md.DM1w8Erc.lean.js
index 0434262b7..11a22a398 100644
--- a/dev/assets/source_methods_barycentric.md.CraLUsaE.lean.js
+++ b/dev/assets/source_methods_barycentric.md.DM1w8Erc.lean.js
@@ -1 +1 @@
-import{_ as h,c as a,j as s,a as i,a6 as t,o as n}from"./chunks/framework.DJCAxKqx.js";const L=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=t("",4),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},e={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r=t("",1),E=[r],d=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"3")]),s("mo",{stretchy:"false"},")")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},o=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 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0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),C={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},A={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},u=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),D=[u],B=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),T={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},m={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"},b=t("",1),Q=[b],_=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1),v=t("",34);function w(f,x,V,P,M,q){return n(),a("div",null,[p,s("p",null,[i("In the case of a triangle, barycentric coordinates are a set of three numbers "),s("mjx-container",k,[(n(),a("svg",e,E)),d]),i(", each associated with a vertex of the triangle. Any point within the triangle can be expressed as a weighted average of the vertices, where the weights are the barycentric coordinates. The weights sum to 1, and each is non-negative.")]),s("p",null,[i("For a polygon with "),s("mjx-container",g,[(n(),a("svg",y,F)),c]),i(" vertices, generalized barycentric coordinates are a set of "),s("mjx-container",C,[(n(),a("svg",A,D)),B]),i(" numbers "),s("mjx-container",T,[(n(),a("svg",m,Q)),_]),i(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates.")]),v])}const R=h(l,[["render",w]]);export{L as __pageData,R as default};
+import{_ as h,c as a,j as s,a as i,a6 as t,o as n}from"./chunks/framework.Cn4AE4RY.js";const L=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=t("",4),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},e={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r=t("",1),E=[r],d=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"3")]),s("mo",{stretchy:"false"},")")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},o=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 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0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),C={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},A={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},u=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),D=[u],B=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),T={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},m={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"},b=t("",1),Q=[b],_=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1),v=t("",34);function w(f,x,V,P,M,q){return n(),a("div",null,[p,s("p",null,[i("In the case of a triangle, barycentric coordinates are a set of three numbers "),s("mjx-container",k,[(n(),a("svg",e,E)),d]),i(", each associated with a vertex of the triangle. Any point within the triangle can be expressed as a weighted average of the vertices, where the weights are the barycentric coordinates. The weights sum to 1, and each is non-negative.")]),s("p",null,[i("For a polygon with "),s("mjx-container",g,[(n(),a("svg",y,F)),c]),i(" vertices, generalized barycentric coordinates are a set of "),s("mjx-container",C,[(n(),a("svg",A,D)),B]),i(" numbers "),s("mjx-container",T,[(n(),a("svg",m,Q)),_]),i(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates.")]),v])}const R=h(l,[["render",w]]);export{L as __pageData,R as default};
diff --git a/dev/assets/source_methods_buffer.md.a7_Ry1-C.js b/dev/assets/source_methods_buffer.md.Y7m2Ivpq.js
similarity index 98%
rename from dev/assets/source_methods_buffer.md.a7_Ry1-C.js
rename to dev/assets/source_methods_buffer.md.Y7m2Ivpq.js
index cffd4c678..5fa813ac2 100644
--- a/dev/assets/source_methods_buffer.md.a7_Ry1-C.js
+++ b/dev/assets/source_methods_buffer.md.Y7m2Ivpq.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t(`
Buffer ​
Buffering a geometry means computing the region distance away from it, and returning that region as the new geometry.
As of now, we only support GEOS as the backend, meaning that LibGEOS must be loaded.
julia
function buffer(geometry, distance; kwargs...)
+import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t(`
Buffer ​
Buffering a geometry means computing the region distance away from it, and returning that region as the new geometry.
As of now, we only support GEOS as the backend, meaning that LibGEOS must be loaded.
julia
function buffer(geometry, distance; kwargs...)
     buffered = buffer(GEOS(; kwargs...), geometry, distance)
     return tuples(buffered)
 end
Below is an error handler similar to the others we have for e.g. segmentize, which checks if there is a method error for the geos backend.
Add an error hint for buffer if LibGEOS is not loaded!
julia
function _buffer_error_hinter(io, exc, argtypes, kwargs)
diff --git a/dev/assets/source_methods_buffer.md.a7_Ry1-C.lean.js b/dev/assets/source_methods_buffer.md.Y7m2Ivpq.lean.js
similarity index 70%
rename from dev/assets/source_methods_buffer.md.a7_Ry1-C.lean.js
rename to dev/assets/source_methods_buffer.md.Y7m2Ivpq.lean.js
index 93c2421e9..9fa353602 100644
--- a/dev/assets/source_methods_buffer.md.a7_Ry1-C.lean.js
+++ b/dev/assets/source_methods_buffer.md.Y7m2Ivpq.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t("",9),h=[e];function k(p,l,r,d,E,o){return a(),i("div",null,h)}const c=s(n,[["render",k]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t("",9),h=[e];function k(p,l,r,d,E,o){return a(),i("div",null,h)}const c=s(n,[["render",k]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_methods_centroid.md.C7cwA4jy.js b/dev/assets/source_methods_centroid.md.CVuJmeZL.js
similarity index 99%
rename from dev/assets/source_methods_centroid.md.C7cwA4jy.js
rename to dev/assets/source_methods_centroid.md.CVuJmeZL.js
index 78e9fd579..0a6d09ee5 100644
--- a/dev/assets/source_methods_centroid.md.C7cwA4jy.js
+++ b/dev/assets/source_methods_centroid.md.CVuJmeZL.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/hvmdkgb.BD0hVfse.png",t="/GeometryOps.jl/dev/assets/hbiivou.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{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/gyrvmbp.BD0hVfse.png",t="/GeometryOps.jl/dev/assets/plydzzt.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
diff --git a/dev/assets/source_methods_centroid.md.C7cwA4jy.lean.js b/dev/assets/source_methods_centroid.md.CVuJmeZL.lean.js
similarity index 64%
rename from dev/assets/source_methods_centroid.md.C7cwA4jy.lean.js
rename to dev/assets/source_methods_centroid.md.CVuJmeZL.lean.js
index 34ba17e5f..dcdfd54e6 100644
--- a/dev/assets/source_methods_centroid.md.C7cwA4jy.lean.js
+++ b/dev/assets/source_methods_centroid.md.CVuJmeZL.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/hvmdkgb.BD0hVfse.png",t="/GeometryOps.jl/dev/assets/hbiivou.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};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/gyrvmbp.BD0hVfse.png",t="/GeometryOps.jl/dev/assets/plydzzt.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/dev/assets/source_methods_clipping_clipping_processor.md.BzLSDlAm.js b/dev/assets/source_methods_clipping_clipping_processor.md.CJl13O4B.js
similarity index 99%
rename from dev/assets/source_methods_clipping_clipping_processor.md.BzLSDlAm.js
rename to dev/assets/source_methods_clipping_clipping_processor.md.CJl13O4B.js
index 93295f693..fbcf39219 100644
--- a/dev/assets/source_methods_clipping_clipping_processor.md.BzLSDlAm.js
+++ b/dev/assets/source_methods_clipping_clipping_processor.md.CJl13O4B.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n(`
Polygon clipping helpers ​
This file contains the shared helper functions for the polygon clipping functionalities.
This enum defines which side of an edge a point is on
julia
@enum PointEdgeSide left=1 right=2 unknown=3
Constants assigned for readability
julia
const enter, exit = true, false
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n(`
Polygon clipping helpers ​
This file contains the shared helper functions for the polygon clipping functionalities.
This enum defines which side of an edge a point is on
julia
@enum PointEdgeSide left=1 right=2 unknown=3
Constants assigned for readability
julia
const enter, exit = true, false
 const crossing, bouncing = true, false
 
 #= A point can either be the start or end of an overlapping chain of points between two
diff --git a/dev/assets/source_methods_clipping_clipping_processor.md.BzLSDlAm.lean.js b/dev/assets/source_methods_clipping_clipping_processor.md.CJl13O4B.lean.js
similarity index 75%
rename from dev/assets/source_methods_clipping_clipping_processor.md.BzLSDlAm.lean.js
rename to dev/assets/source_methods_clipping_clipping_processor.md.CJl13O4B.lean.js
index 3d37a3ab7..388ec0b9f 100644
--- a/dev/assets/source_methods_clipping_clipping_processor.md.BzLSDlAm.lean.js
+++ b/dev/assets/source_methods_clipping_clipping_processor.md.CJl13O4B.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n("",169),p=[t];function l(k,e,E,r,d,g){return a(),i("div",null,p)}const c=s(h,[["render",l]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n("",169),p=[t];function l(k,e,E,r,d,g){return a(),i("div",null,p)}const c=s(h,[["render",l]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_methods_clipping_coverage.md.B0l0jW6p.js b/dev/assets/source_methods_clipping_coverage.md.CgPSAVw1.js
similarity index 99%
rename from dev/assets/source_methods_clipping_coverage.md.B0l0jW6p.js
rename to dev/assets/source_methods_clipping_coverage.md.CgPSAVw1.js
index f94af21a8..0d19c38ae 100644
--- a/dev/assets/source_methods_clipping_coverage.md.B0l0jW6p.js
+++ b/dev/assets/source_methods_clipping_coverage.md.CgPSAVw1.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/vqntmxa.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/kychnsl.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
@@ -220,4 +220,4 @@ import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h
     x_wall = (wall == NORTH || wall == EAST) ? xmax : xmin
     y_wall = (wall == NORTH || wall == WEST) ? ymax : ymin
     return x1 * y_wall - x_wall * y1
-end
This page was generated using Literate.jl.
`,58),t=[k];function p(e,E,r,d,g,y){return a(),i("div",null,t)}const o=s(l,[["render",p]]);export{c as __pageData,o as default};
+end
This page was generated using Literate.jl.
`,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/dev/assets/source_methods_clipping_coverage.md.B0l0jW6p.lean.js b/dev/assets/source_methods_clipping_coverage.md.CgPSAVw1.lean.js
similarity index 50%
rename from dev/assets/source_methods_clipping_coverage.md.B0l0jW6p.lean.js
rename to dev/assets/source_methods_clipping_coverage.md.CgPSAVw1.lean.js
index 5719bb679..b511de505 100644
--- a/dev/assets/source_methods_clipping_coverage.md.B0l0jW6p.lean.js
+++ b/dev/assets/source_methods_clipping_coverage.md.CgPSAVw1.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/vqntmxa.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),t=[k];function p(e,E,r,d,g,y){return a(),i("div",null,t)}const o=s(l,[["render",p]]);export{c as __pageData,o as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/kychnsl.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/dev/assets/source_methods_clipping_cut.md.BjP_A1yv.js b/dev/assets/source_methods_clipping_cut.md.CcG5NkA0.js
similarity index 99%
rename from dev/assets/source_methods_clipping_cut.md.BjP_A1yv.js
rename to dev/assets/source_methods_clipping_cut.md.CcG5NkA0.js
index 0bbffaab1..8ac700259 100644
--- a/dev/assets/source_methods_clipping_cut.md.BjP_A1yv.js
+++ b/dev/assets/source_methods_clipping_cut.md.CcG5NkA0.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/ntaogjs.-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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/xbccwvi.-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/dev/assets/source_methods_clipping_cut.md.BjP_A1yv.lean.js b/dev/assets/source_methods_clipping_cut.md.CcG5NkA0.lean.js
similarity index 74%
rename from dev/assets/source_methods_clipping_cut.md.BjP_A1yv.lean.js
rename to dev/assets/source_methods_clipping_cut.md.CcG5NkA0.lean.js
index 63cd8408f..bec49df2b 100644
--- a/dev/assets/source_methods_clipping_cut.md.BjP_A1yv.lean.js
+++ b/dev/assets/source_methods_clipping_cut.md.CcG5NkA0.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/ntaogjs.-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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/xbccwvi.-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/dev/assets/source_methods_clipping_difference.md.DKICJey0.js b/dev/assets/source_methods_clipping_difference.md.BOFyeQol.js
similarity index 99%
rename from dev/assets/source_methods_clipping_difference.md.DKICJey0.js
rename to dev/assets/source_methods_clipping_difference.md.BOFyeQol.js
index 5fe8bc64f..d45eeeded 100644
--- a/dev/assets/source_methods_clipping_difference.md.DKICJey0.js
+++ b/dev/assets/source_methods_clipping_difference.md.BOFyeQol.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n(`
Difference Polygon Clipping ​
julia
export difference
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n(`
Difference Polygon Clipping ​
julia
export difference
 
 
 """
diff --git a/dev/assets/source_methods_clipping_difference.md.DKICJey0.lean.js b/dev/assets/source_methods_clipping_difference.md.BOFyeQol.lean.js
similarity index 73%
rename from dev/assets/source_methods_clipping_difference.md.DKICJey0.lean.js
rename to dev/assets/source_methods_clipping_difference.md.BOFyeQol.lean.js
index 5ea678c5a..8b279d54b 100644
--- a/dev/assets/source_methods_clipping_difference.md.DKICJey0.lean.js
+++ b/dev/assets/source_methods_clipping_difference.md.BOFyeQol.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n("",22),t=[p];function h(e,k,r,d,g,y){return a(),i("div",null,t)}const F=s(l,[["render",h]]);export{o as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n("",22),t=[p];function h(e,k,r,d,g,y){return a(),i("div",null,t)}const F=s(l,[["render",h]]);export{o as __pageData,F as default};
diff --git a/dev/assets/source_methods_clipping_intersection.md.BP5gQs4H.js b/dev/assets/source_methods_clipping_intersection.md.JzlicliV.js
similarity index 99%
rename from dev/assets/source_methods_clipping_intersection.md.BP5gQs4H.js
rename to dev/assets/source_methods_clipping_intersection.md.JzlicliV.js
index 8c656e06c..d9dfeaa5e 100644
--- a/dev/assets/source_methods_clipping_intersection.md.BP5gQs4H.js
+++ b/dev/assets/source_methods_clipping_intersection.md.JzlicliV.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n(`
Geometry Intersection ​
julia
export intersection, intersection_points
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n(`
Geometry Intersection ​
julia
export intersection, intersection_points
 
 """
     Enum LineOrientation
diff --git a/dev/assets/source_methods_clipping_intersection.md.BP5gQs4H.lean.js b/dev/assets/source_methods_clipping_intersection.md.JzlicliV.lean.js
similarity index 73%
rename from dev/assets/source_methods_clipping_intersection.md.BP5gQs4H.lean.js
rename to dev/assets/source_methods_clipping_intersection.md.JzlicliV.lean.js
index 5bf90995a..a49f2be50 100644
--- a/dev/assets/source_methods_clipping_intersection.md.BP5gQs4H.lean.js
+++ b/dev/assets/source_methods_clipping_intersection.md.JzlicliV.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n("",80),l=[h];function p(k,e,r,E,d,g){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n("",80),l=[h];function p(k,e,r,E,d,g){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_methods_clipping_predicates.md.CaEd1cqF.js b/dev/assets/source_methods_clipping_predicates.md.CAlyjLIM.js
similarity index 99%
rename from dev/assets/source_methods_clipping_predicates.md.CaEd1cqF.js
rename to dev/assets/source_methods_clipping_predicates.md.CAlyjLIM.js
index 9e8205fd6..7285e00ad 100644
--- a/dev/assets/source_methods_clipping_predicates.md.CaEd1cqF.js
+++ b/dev/assets/source_methods_clipping_predicates.md.CAlyjLIM.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),t={name:"source/methods/clipping/predicates.md"},h=n(`
julia
module Predicates
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),t={name:"source/methods/clipping/predicates.md"},h=n(`
julia
module Predicates
     using ExactPredicates, ExactPredicates.Codegen
     import ExactPredicates: ext
     import ExactPredicates.Codegen: group!, @genpredicate
diff --git a/dev/assets/source_methods_clipping_predicates.md.CaEd1cqF.lean.js b/dev/assets/source_methods_clipping_predicates.md.CAlyjLIM.lean.js
similarity index 75%
rename from dev/assets/source_methods_clipping_predicates.md.CaEd1cqF.lean.js
rename to dev/assets/source_methods_clipping_predicates.md.CAlyjLIM.lean.js
index 68aa46908..98993824e 100644
--- a/dev/assets/source_methods_clipping_predicates.md.CaEd1cqF.lean.js
+++ b/dev/assets/source_methods_clipping_predicates.md.CAlyjLIM.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),t={name:"source/methods/clipping/predicates.md"},h=n("",13),e=[h];function p(l,k,r,d,E,c){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{o as __pageData,y as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),t={name:"source/methods/clipping/predicates.md"},h=n("",13),e=[h];function p(l,k,r,d,E,c){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{o as __pageData,y as default};
diff --git a/dev/assets/source_methods_clipping_union.md.DId4TUIp.js b/dev/assets/source_methods_clipping_union.md.DXNx0B8s.js
similarity index 99%
rename from dev/assets/source_methods_clipping_union.md.DId4TUIp.js
rename to dev/assets/source_methods_clipping_union.md.DXNx0B8s.js
index ade993b01..93c5b221b 100644
--- a/dev/assets/source_methods_clipping_union.md.DId4TUIp.js
+++ b/dev/assets/source_methods_clipping_union.md.DXNx0B8s.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n(`
Union Polygon Clipping ​
julia
export union
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n(`
Union Polygon Clipping ​
julia
export union
 
 """
     union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
diff --git a/dev/assets/source_methods_clipping_union.md.DId4TUIp.lean.js b/dev/assets/source_methods_clipping_union.md.DXNx0B8s.lean.js
similarity index 72%
rename from dev/assets/source_methods_clipping_union.md.DId4TUIp.lean.js
rename to dev/assets/source_methods_clipping_union.md.DXNx0B8s.lean.js
index aefb352cc..c520df223 100644
--- a/dev/assets/source_methods_clipping_union.md.DId4TUIp.lean.js
+++ b/dev/assets/source_methods_clipping_union.md.DXNx0B8s.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.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.Cn4AE4RY.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n("",28),p=[h];function t(k,e,r,E,g,y){return a(),i("div",null,p)}const F=s(l,[["render",t]]);export{o as __pageData,F as default};
diff --git a/dev/assets/source_methods_distance.md.Do9JLhAx.js b/dev/assets/source_methods_distance.md.BY9KFv1c.js
similarity index 99%
rename from dev/assets/source_methods_distance.md.Do9JLhAx.js
rename to dev/assets/source_methods_distance.md.BY9KFv1c.js
index 2ad3ed160..46b18e8ba 100644
--- a/dev/assets/source_methods_distance.md.Do9JLhAx.js
+++ b/dev/assets/source_methods_distance.md.BY9KFv1c.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/hbwxong.DiwGEg2f.png",t="/GeometryOps.jl/dev/assets/dpnspcr.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/fhvtgcz.DiwGEg2f.png",t="/GeometryOps.jl/dev/assets/celywry.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/dev/assets/source_methods_distance.md.Do9JLhAx.lean.js b/dev/assets/source_methods_distance.md.BY9KFv1c.lean.js
similarity index 65%
rename from dev/assets/source_methods_distance.md.Do9JLhAx.lean.js
rename to dev/assets/source_methods_distance.md.BY9KFv1c.lean.js
index eb73cc36c..6f7c22856 100644
--- a/dev/assets/source_methods_distance.md.Do9JLhAx.lean.js
+++ b/dev/assets/source_methods_distance.md.BY9KFv1c.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/hbwxong.DiwGEg2f.png",t="/GeometryOps.jl/dev/assets/dpnspcr.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/fhvtgcz.DiwGEg2f.png",t="/GeometryOps.jl/dev/assets/celywry.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/dev/assets/source_methods_equals.md.BmhKIPmw.lean.js b/dev/assets/source_methods_equals.md.BmhKIPmw.lean.js
deleted file mode 100644
index d1f2129ca..000000000
--- a/dev/assets/source_methods_equals.md.BmhKIPmw.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const l="/GeometryOps.jl/dev/assets/fsaruhm.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n("",47),p=[h];function k(e,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",k]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_methods_equals.md.BmhKIPmw.js b/dev/assets/source_methods_equals.md.Ch3iXwgp.js
similarity index 99%
rename from dev/assets/source_methods_equals.md.BmhKIPmw.js
rename to dev/assets/source_methods_equals.md.Ch3iXwgp.js
index 5ebdf44ab..0860ff08a 100644
--- a/dev/assets/source_methods_equals.md.BmhKIPmw.js
+++ b/dev/assets/source_methods_equals.md.Ch3iXwgp.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const l="/GeometryOps.jl/dev/assets/fsaruhm.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.Cn4AE4RY.js";const l="/GeometryOps.jl/dev/assets/bwfdhev.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
@@ -262,4 +262,4 @@ import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const l
         has_match || return false
     end
     return true
-end
This page was generated using Literate.jl.
`,47),p=[h];function k(e,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",k]]);export{y as __pageData,c as default};
+end
This page was generated using Literate.jl.
`,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/dev/assets/source_methods_equals.md.Ch3iXwgp.lean.js b/dev/assets/source_methods_equals.md.Ch3iXwgp.lean.js
new file mode 100644
index 000000000..d561422cd
--- /dev/null
+++ b/dev/assets/source_methods_equals.md.Ch3iXwgp.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const l="/GeometryOps.jl/dev/assets/bwfdhev.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/dev/assets/source_methods_geom_relations_contains.md.DmVyCmHA.js b/dev/assets/source_methods_geom_relations_contains.md.BZwSU5fo.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_contains.md.DmVyCmHA.js
rename to dev/assets/source_methods_geom_relations_contains.md.BZwSU5fo.js
index 448e3bde7..6c2ca9b8a 100644
--- a/dev/assets/source_methods_geom_relations_contains.md.DmVyCmHA.js
+++ b/dev/assets/source_methods_geom_relations_contains.md.BZwSU5fo.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const t="/GeometryOps.jl/dev/assets/tylalup._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.Cn4AE4RY.js";const t="/GeometryOps.jl/dev/assets/bwnluwe._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/dev/assets/source_methods_geom_relations_contains.md.DmVyCmHA.lean.js b/dev/assets/source_methods_geom_relations_contains.md.BZwSU5fo.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_contains.md.DmVyCmHA.lean.js
rename to dev/assets/source_methods_geom_relations_contains.md.BZwSU5fo.lean.js
index adfdb5ec1..30cbc6747 100644
--- a/dev/assets/source_methods_geom_relations_contains.md.DmVyCmHA.lean.js
+++ b/dev/assets/source_methods_geom_relations_contains.md.BZwSU5fo.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const t="/GeometryOps.jl/dev/assets/tylalup._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.Cn4AE4RY.js";const t="/GeometryOps.jl/dev/assets/bwnluwe._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/dev/assets/source_methods_geom_relations_coveredby.md.gJ41Jj11.js b/dev/assets/source_methods_geom_relations_coveredby.md.DMLf9KPk.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_coveredby.md.gJ41Jj11.js
rename to dev/assets/source_methods_geom_relations_coveredby.md.DMLf9KPk.js
index dfdbb6923..b2f596562 100644
--- a/dev/assets/source_methods_geom_relations_coveredby.md.gJ41Jj11.js
+++ b/dev/assets/source_methods_geom_relations_coveredby.md.DMLf9KPk.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const e="/GeometryOps.jl/dev/assets/dxdsfvw.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.Cn4AE4RY.js";const e="/GeometryOps.jl/dev/assets/dzmvkuy.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/dev/assets/source_methods_geom_relations_coveredby.md.gJ41Jj11.lean.js b/dev/assets/source_methods_geom_relations_coveredby.md.DMLf9KPk.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_coveredby.md.gJ41Jj11.lean.js
rename to dev/assets/source_methods_geom_relations_coveredby.md.DMLf9KPk.lean.js
index 3744e89a4..476313930 100644
--- a/dev/assets/source_methods_geom_relations_coveredby.md.gJ41Jj11.lean.js
+++ b/dev/assets/source_methods_geom_relations_coveredby.md.DMLf9KPk.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const e="/GeometryOps.jl/dev/assets/dxdsfvw.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.Cn4AE4RY.js";const e="/GeometryOps.jl/dev/assets/dzmvkuy.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/dev/assets/source_methods_geom_relations_covers.md.DVUSgwJU.js b/dev/assets/source_methods_geom_relations_covers.md.DvQp00jP.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_covers.md.DVUSgwJU.js
rename to dev/assets/source_methods_geom_relations_covers.md.DvQp00jP.js
index c1e4d4d68..9635f9d7e 100644
--- a/dev/assets/source_methods_geom_relations_covers.md.DVUSgwJU.js
+++ b/dev/assets/source_methods_geom_relations_covers.md.DvQp00jP.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const n="/GeometryOps.jl/dev/assets/dxdsfvw.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.Cn4AE4RY.js";const n="/GeometryOps.jl/dev/assets/dzmvkuy.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/dev/assets/source_methods_geom_relations_covers.md.DVUSgwJU.lean.js b/dev/assets/source_methods_geom_relations_covers.md.DvQp00jP.lean.js
similarity index 75%
rename from dev/assets/source_methods_geom_relations_covers.md.DVUSgwJU.lean.js
rename to dev/assets/source_methods_geom_relations_covers.md.DvQp00jP.lean.js
index b4e3de886..b7b3821a3 100644
--- a/dev/assets/source_methods_geom_relations_covers.md.DVUSgwJU.lean.js
+++ b/dev/assets/source_methods_geom_relations_covers.md.DvQp00jP.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const n="/GeometryOps.jl/dev/assets/dxdsfvw.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.Cn4AE4RY.js";const n="/GeometryOps.jl/dev/assets/dzmvkuy.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/dev/assets/source_methods_geom_relations_crosses.md.CsL9V3Uq.js b/dev/assets/source_methods_geom_relations_crosses.md.DA4Fv4Oc.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_crosses.md.CsL9V3Uq.js
rename to dev/assets/source_methods_geom_relations_crosses.md.DA4Fv4Oc.js
index 9afec5b47..a3c00779d 100644
--- a/dev/assets/source_methods_geom_relations_crosses.md.CsL9V3Uq.js
+++ b/dev/assets/source_methods_geom_relations_crosses.md.DA4Fv4Oc.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n(`
Crossing checks ​
julia
"""
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n(`
Crossing checks ​
julia
"""
      crosses(geom1, geom2)::Bool
 
 Return \`true\` if the intersection results in a geometry whose dimension is one less than
diff --git a/dev/assets/source_methods_geom_relations_crosses.md.CsL9V3Uq.lean.js b/dev/assets/source_methods_geom_relations_crosses.md.DA4Fv4Oc.lean.js
similarity index 73%
rename from dev/assets/source_methods_geom_relations_crosses.md.CsL9V3Uq.lean.js
rename to dev/assets/source_methods_geom_relations_crosses.md.DA4Fv4Oc.lean.js
index fcf6ea7fa..d186a872c 100644
--- a/dev/assets/source_methods_geom_relations_crosses.md.CsL9V3Uq.lean.js
+++ b/dev/assets/source_methods_geom_relations_crosses.md.DA4Fv4Oc.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n("",10),h=[p];function t(k,e,r,E,g,d){return a(),i("div",null,h)}const o=s(l,[["render",t]]);export{y as __pageData,o as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n("",10),h=[p];function t(k,e,r,E,g,d){return a(),i("div",null,h)}const o=s(l,[["render",t]]);export{y as __pageData,o as default};
diff --git a/dev/assets/source_methods_geom_relations_disjoint.md.B5ZpeXpT.js b/dev/assets/source_methods_geom_relations_disjoint.md.D2hNMyy1.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_disjoint.md.B5ZpeXpT.js
rename to dev/assets/source_methods_geom_relations_disjoint.md.D2hNMyy1.js
index e37faae67..5e8096bfe 100644
--- a/dev/assets/source_methods_geom_relations_disjoint.md.B5ZpeXpT.js
+++ b/dev/assets/source_methods_geom_relations_disjoint.md.D2hNMyy1.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const t="/GeometryOps.jl/dev/assets/ttcouzn.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.Cn4AE4RY.js";const t="/GeometryOps.jl/dev/assets/ffjkfau.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/dev/assets/source_methods_geom_relations_disjoint.md.B5ZpeXpT.lean.js b/dev/assets/source_methods_geom_relations_disjoint.md.D2hNMyy1.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_disjoint.md.B5ZpeXpT.lean.js
rename to dev/assets/source_methods_geom_relations_disjoint.md.D2hNMyy1.lean.js
index 85a8e09c0..15cf0eeb4 100644
--- a/dev/assets/source_methods_geom_relations_disjoint.md.B5ZpeXpT.lean.js
+++ b/dev/assets/source_methods_geom_relations_disjoint.md.D2hNMyy1.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const t="/GeometryOps.jl/dev/assets/ttcouzn.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.Cn4AE4RY.js";const t="/GeometryOps.jl/dev/assets/ffjkfau.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/dev/assets/source_methods_geom_relations_geom_geom_processors.md.DPqscrha.js b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.L3i1KHHA.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_geom_geom_processors.md.DPqscrha.js
rename to dev/assets/source_methods_geom_relations_geom_geom_processors.md.L3i1KHHA.js
index 800bd0f74..9d42b90e5 100644
--- a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.DPqscrha.js
+++ b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.L3i1KHHA.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n(`
Line-curve interaction ​
julia
#= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n(`
Line-curve interaction ​
julia
#= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)
 and attempts a standardized solution for most of the functions.
 =#
 
diff --git a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.DPqscrha.lean.js b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.L3i1KHHA.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_geom_geom_processors.md.DPqscrha.lean.js
rename to dev/assets/source_methods_geom_relations_geom_geom_processors.md.L3i1KHHA.lean.js
index 6b57df8a1..db7f18f81 100644
--- a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.DPqscrha.lean.js
+++ b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.L3i1KHHA.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n("",142),t=[l];function p(k,e,r,E,d,g){return a(),i("div",null,t)}const c=s(h,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n("",142),t=[l];function p(k,e,r,E,d,g){return a(),i("div",null,t)}const c=s(h,[["render",p]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_methods_geom_relations_intersects.md.wzuIy_wv.js b/dev/assets/source_methods_geom_relations_intersects.md.CNL_FPtm.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_intersects.md.wzuIy_wv.js
rename to dev/assets/source_methods_geom_relations_intersects.md.CNL_FPtm.js
index c13e1cba9..32a02a61b 100644
--- a/dev/assets/source_methods_geom_relations_intersects.md.wzuIy_wv.js
+++ b/dev/assets/source_methods_geom_relations_intersects.md.CNL_FPtm.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const n="/GeometryOps.jl/dev/assets/fbhxjws.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.Cn4AE4RY.js";const n="/GeometryOps.jl/dev/assets/nnfgvko.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e(`
Intersection checks ​
julia
export intersects
What is intersects? ​
The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/dev/assets/source_methods_geom_relations_intersects.md.wzuIy_wv.lean.js b/dev/assets/source_methods_geom_relations_intersects.md.CNL_FPtm.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_intersects.md.wzuIy_wv.lean.js
rename to dev/assets/source_methods_geom_relations_intersects.md.CNL_FPtm.lean.js
index 5e3d05ad2..906a885e6 100644
--- a/dev/assets/source_methods_geom_relations_intersects.md.wzuIy_wv.lean.js
+++ b/dev/assets/source_methods_geom_relations_intersects.md.CNL_FPtm.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const n="/GeometryOps.jl/dev/assets/fbhxjws.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.Cn4AE4RY.js";const n="/GeometryOps.jl/dev/assets/nnfgvko.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e("",18),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_methods_geom_relations_overlaps.md.BX5Mxru6.js b/dev/assets/source_methods_geom_relations_overlaps.md.CL9HK_mg.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_overlaps.md.BX5Mxru6.js
rename to dev/assets/source_methods_geom_relations_overlaps.md.CL9HK_mg.js
index 777a9df7b..7895acb2b 100644
--- a/dev/assets/source_methods_geom_relations_overlaps.md.BX5Mxru6.js
+++ b/dev/assets/source_methods_geom_relations_overlaps.md.CL9HK_mg.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const l="/GeometryOps.jl/dev/assets/fsaruhm.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.Cn4AE4RY.js";const l="/GeometryOps.jl/dev/assets/bwfdhev.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/dev/assets/source_methods_geom_relations_overlaps.md.BX5Mxru6.lean.js b/dev/assets/source_methods_geom_relations_overlaps.md.CL9HK_mg.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_overlaps.md.BX5Mxru6.lean.js
rename to dev/assets/source_methods_geom_relations_overlaps.md.CL9HK_mg.lean.js
index 9edf2cfc4..f4515d15b 100644
--- a/dev/assets/source_methods_geom_relations_overlaps.md.BX5Mxru6.lean.js
+++ b/dev/assets/source_methods_geom_relations_overlaps.md.CL9HK_mg.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const l="/GeometryOps.jl/dev/assets/fsaruhm.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.Cn4AE4RY.js";const l="/GeometryOps.jl/dev/assets/bwfdhev.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/dev/assets/source_methods_geom_relations_touches.md.BOZc8VbA.js b/dev/assets/source_methods_geom_relations_touches.md.BESHQIGt.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_touches.md.BOZc8VbA.js
rename to dev/assets/source_methods_geom_relations_touches.md.BESHQIGt.js
index 401d52f96..7a112de43 100644
--- a/dev/assets/source_methods_geom_relations_touches.md.BOZc8VbA.js
+++ b/dev/assets/source_methods_geom_relations_touches.md.BESHQIGt.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const t="/GeometryOps.jl/dev/assets/gaxxftu.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.Cn4AE4RY.js";const t="/GeometryOps.jl/dev/assets/oudcxuz.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/dev/assets/source_methods_geom_relations_touches.md.BOZc8VbA.lean.js b/dev/assets/source_methods_geom_relations_touches.md.BESHQIGt.lean.js
similarity index 75%
rename from dev/assets/source_methods_geom_relations_touches.md.BOZc8VbA.lean.js
rename to dev/assets/source_methods_geom_relations_touches.md.BESHQIGt.lean.js
index 90bcd141e..7bc9df585 100644
--- a/dev/assets/source_methods_geom_relations_touches.md.BOZc8VbA.lean.js
+++ b/dev/assets/source_methods_geom_relations_touches.md.BESHQIGt.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const t="/GeometryOps.jl/dev/assets/gaxxftu.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.Cn4AE4RY.js";const t="/GeometryOps.jl/dev/assets/oudcxuz.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/dev/assets/source_methods_geom_relations_within.md.CjWkIWkH.js b/dev/assets/source_methods_geom_relations_within.md.C5UwxnOQ.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_within.md.CjWkIWkH.js
rename to dev/assets/source_methods_geom_relations_within.md.C5UwxnOQ.js
index d5924aa6e..9802807d4 100644
--- a/dev/assets/source_methods_geom_relations_within.md.CjWkIWkH.js
+++ b/dev/assets/source_methods_geom_relations_within.md.C5UwxnOQ.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/tylalup._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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/bwnluwe._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/dev/assets/source_methods_geom_relations_within.md.CjWkIWkH.lean.js b/dev/assets/source_methods_geom_relations_within.md.C5UwxnOQ.lean.js
similarity index 75%
rename from dev/assets/source_methods_geom_relations_within.md.CjWkIWkH.lean.js
rename to dev/assets/source_methods_geom_relations_within.md.C5UwxnOQ.lean.js
index 6b3d70a24..cb66808f1 100644
--- a/dev/assets/source_methods_geom_relations_within.md.CjWkIWkH.lean.js
+++ b/dev/assets/source_methods_geom_relations_within.md.C5UwxnOQ.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/tylalup._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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/bwnluwe._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/dev/assets/source_methods_orientation.md.CzhmZXmk.js b/dev/assets/source_methods_orientation.md.bwRzN1eO.js
similarity index 99%
rename from dev/assets/source_methods_orientation.md.CzhmZXmk.js
rename to dev/assets/source_methods_orientation.md.bwRzN1eO.js
index 298de76d9..629dd32f4 100644
--- a/dev/assets/source_methods_orientation.md.CzhmZXmk.js
+++ b/dev/assets/source_methods_orientation.md.bwRzN1eO.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n(`
Orientation ​
julia
export isclockwise, isconcave
isclockwise ​
The orientation of a geometry is whether it runs clockwise or counter-clockwise.
This is defined for linestrings, linear rings, or vectors of points.
isconcave ​
A polygon is concave if it has at least one interior angle greater than 180 degrees, meaning that the interior of the polygon is not a convex set.
These are all adapted from Turf.jl.
The may not necessarily be what want in the end but work for now!
julia
"""
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n(`
Orientation ​
julia
export isclockwise, isconcave
isclockwise ​
The orientation of a geometry is whether it runs clockwise or counter-clockwise.
This is defined for linestrings, linear rings, or vectors of points.
isconcave ​
A polygon is concave if it has at least one interior angle greater than 180 degrees, meaning that the interior of the polygon is not a convex set.
These are all adapted from Turf.jl.
The may not necessarily be what want in the end but work for now!
julia
"""
     isclockwise(line::Union{LineString, Vector{Position}})::Bool
 
 Take a ring and return \`true\` if the line goes clockwise, or \`false\` if the line goes
diff --git a/dev/assets/source_methods_orientation.md.CzhmZXmk.lean.js b/dev/assets/source_methods_orientation.md.bwRzN1eO.lean.js
similarity index 71%
rename from dev/assets/source_methods_orientation.md.CzhmZXmk.lean.js
rename to dev/assets/source_methods_orientation.md.bwRzN1eO.lean.js
index da0285e5f..88d070fdc 100644
--- a/dev/assets/source_methods_orientation.md.CzhmZXmk.lean.js
+++ b/dev/assets/source_methods_orientation.md.bwRzN1eO.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n("",28),h=[p];function t(e,k,r,d,g,E){return a(),i("div",null,h)}const c=s(l,[["render",t]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n("",28),h=[p];function t(e,k,r,d,g,E){return a(),i("div",null,h)}const c=s(l,[["render",t]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_methods_polygonize.md.BcZSpnGy.js b/dev/assets/source_methods_polygonize.md.C_iWGc_n.js
similarity index 99%
rename from dev/assets/source_methods_polygonize.md.BcZSpnGy.js
rename to dev/assets/source_methods_polygonize.md.C_iWGc_n.js
index 20aa8d2f5..92a899c38 100644
--- a/dev/assets/source_methods_polygonize.md.BcZSpnGy.js
+++ b/dev/assets/source_methods_polygonize.md.C_iWGc_n.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n(`
Polygonizing raster data ​
julia
export polygonize
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n(`
Polygonizing raster data ​
julia
export polygonize
 
 #=
 The methods in this file convert a raster image into a set of polygons,
diff --git a/dev/assets/source_methods_polygonize.md.BcZSpnGy.lean.js b/dev/assets/source_methods_polygonize.md.C_iWGc_n.lean.js
similarity index 72%
rename from dev/assets/source_methods_polygonize.md.BcZSpnGy.lean.js
rename to dev/assets/source_methods_polygonize.md.C_iWGc_n.lean.js
index df633919f..e2b693aa3 100644
--- a/dev/assets/source_methods_polygonize.md.BcZSpnGy.lean.js
+++ b/dev/assets/source_methods_polygonize.md.C_iWGc_n.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n("",86),p=[l];function t(k,e,d,E,r,g){return a(),i("div",null,p)}const c=s(h,[["render",t]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n("",86),p=[l];function t(k,e,d,E,r,g){return a(),i("div",null,p)}const c=s(h,[["render",t]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_not_implemented_yet.md.BswTCT_k.js b/dev/assets/source_not_implemented_yet.md.BfbUKSPu.js
similarity index 94%
rename from dev/assets/source_not_implemented_yet.md.BswTCT_k.js
rename to dev/assets/source_not_implemented_yet.md.BfbUKSPu.js
index f51299474..6e0d6cab1 100644
--- a/dev/assets/source_not_implemented_yet.md.BswTCT_k.js
+++ b/dev/assets/source_not_implemented_yet.md.BfbUKSPu.js
@@ -1,4 +1,4 @@
-import{_ as e,c as i,o as t,a6 as s}from"./chunks/framework.DJCAxKqx.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s(`
Not implemented yet ​
All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.
julia
function symdifference end
+import{_ as e,c as i,o as t,a6 as s}from"./chunks/framework.Cn4AE4RY.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s(`
Not implemented yet ​
All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.
julia
function symdifference end
 function buffer end
 function convexhull end
 function concavehull end
This page was generated using Literate.jl.
`,5),l=[n];function p(h,o,r,d,c,m){return t(),i("div",null,l)}const u=e(a,[["render",p]]);export{_ as __pageData,u as default};
diff --git a/dev/assets/source_not_implemented_yet.md.BswTCT_k.lean.js b/dev/assets/source_not_implemented_yet.md.BfbUKSPu.lean.js
similarity index 71%
rename from dev/assets/source_not_implemented_yet.md.BswTCT_k.lean.js
rename to dev/assets/source_not_implemented_yet.md.BfbUKSPu.lean.js
index 605d8766d..84c936440 100644
--- a/dev/assets/source_not_implemented_yet.md.BswTCT_k.lean.js
+++ b/dev/assets/source_not_implemented_yet.md.BfbUKSPu.lean.js
@@ -1 +1 @@
-import{_ as e,c as i,o as t,a6 as s}from"./chunks/framework.DJCAxKqx.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s("",5),l=[n];function p(h,o,r,d,c,m){return t(),i("div",null,l)}const u=e(a,[["render",p]]);export{_ as __pageData,u as default};
+import{_ as e,c as i,o as t,a6 as s}from"./chunks/framework.Cn4AE4RY.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s("",5),l=[n];function p(h,o,r,d,c,m){return t(),i("div",null,l)}const u=e(a,[["render",p]]);export{_ as __pageData,u as default};
diff --git a/dev/assets/source_primitives.md.B2xcVnGa.js b/dev/assets/source_primitives.md.BZQpOq2w.js
similarity index 99%
rename from dev/assets/source_primitives.md.B2xcVnGa.js
rename to dev/assets/source_primitives.md.BZQpOq2w.js
index 533ad4598..5dd33daf8 100644
--- a/dev/assets/source_primitives.md.B2xcVnGa.js
+++ b/dev/assets/source_primitives.md.BZQpOq2w.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t(`
Primitive functions ​
julia
export apply, applyreduce, TraitTarget
This file mainly defines the apply and applyreduce functions, and some related functionality.
In general, the idea behind the apply framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or TraitTarget union thereof, like PointTrait or PolygonTrait) and perform some operation on it.
This allows for a simple and consistent framework within which users can define their own operations trivially easily, and removes a lot of the complexity involved with handling complex geometry structures.
For example, a simple way to flip the x and y coordinates of a geometry is:
julia
flipped_geom = GO.apply(GI.PointTrait(), geom) do p
+import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t(`
Primitive functions ​
julia
export apply, applyreduce, TraitTarget
This file mainly defines the apply and applyreduce functions, and some related functionality.
In general, the idea behind the apply framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or TraitTarget union thereof, like PointTrait or PolygonTrait) and perform some operation on it.
This allows for a simple and consistent framework within which users can define their own operations trivially easily, and removes a lot of the complexity involved with handling complex geometry structures.
For example, a simple way to flip the x and y coordinates of a geometry is:
julia
flipped_geom = GO.apply(GI.PointTrait(), geom) do p
     (GI.y(p), GI.x(p))
 end
As simple as that. There's no need to implement your own decomposition because it's done for you.
Functions like flip, reproject, transform, even segmentize and simplify have been implemented using the apply framework. Similarly, centroid, area and distance have been implemented using the applyreduce framework.
Docstrings ​
Functions ​
Missing docstring.
Missing docstring for apply. Check Documenter's build log for details.
Missing docstring.
Missing docstring for applyreduce. Check Documenter's build log for details.
Missing docstring.
Missing docstring for GeometryOps.unwrap. Check Documenter's build log for details.
# GeometryOps.flatten — Function. 
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
 flatten(f, target::Type{<:GI.AbstractTrait}, obj)
Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.
If f is passed in it will be applied to the target geometries.
source

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

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

Types ​
Missing docstring.
Missing docstring for TraitTarget. Check Documenter's build log for details.
Implementation ​
julia
const THREADED_KEYWORD = "- \`threaded\`: \`true\` or \`false\`. Whether to use multithreading. Defaults to \`false\`."
diff --git a/dev/assets/source_primitives.md.B2xcVnGa.lean.js b/dev/assets/source_primitives.md.BZQpOq2w.lean.js
similarity index 70%
rename from dev/assets/source_primitives.md.B2xcVnGa.lean.js
rename to dev/assets/source_primitives.md.BZQpOq2w.lean.js
index cd3abd2e5..5ef14e54c 100644
--- a/dev/assets/source_primitives.md.B2xcVnGa.lean.js
+++ b/dev/assets/source_primitives.md.BZQpOq2w.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.DJCAxKqx.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t("",194),e=[h];function l(p,k,r,d,g,E){return a(),i("div",null,e)}const c=s(n,[["render",l]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t("",194),e=[h];function l(p,k,r,d,g,E){return a(),i("div",null,e)}const c=s(n,[["render",l]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_transformations_correction_closed_ring.md.DntaP39m.js b/dev/assets/source_transformations_correction_closed_ring.md.Ck1J5DHJ.js
similarity index 99%
rename from dev/assets/source_transformations_correction_closed_ring.md.DntaP39m.js
rename to dev/assets/source_transformations_correction_closed_ring.md.Ck1J5DHJ.js
index ef836220a..0d8d7751b 100644
--- a/dev/assets/source_transformations_correction_closed_ring.md.DntaP39m.js
+++ b/dev/assets/source_transformations_correction_closed_ring.md.Ck1J5DHJ.js
@@ -1,4 +1,4 @@
-import{_ as t,c as i,j as s,a,a6 as e,o as n}from"./chunks/framework.DJCAxKqx.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e(`
Closed Rings ​
julia
export ClosedRing
A closed ring is a ring that has the same start and end point. This is a requirement for a valid polygon (technically, for a valid LinearRing). This correction is used to ensure that the polygon is valid.
The reason this operates on the polygon level is that several packages are loose about whether they return LinearRings (which is correct) or LineStrings (which is incorrect) for the contents of a polygon. Therefore, we decompose manually to ensure correctness.
Example ​
Many polygon providers do not close their polygons, which makes them invalid according to the specification. Quite a few geometry algorithms assume that polygons are closed, and leaving them open can lead to incorrect results!
For example, the following polygon is not valid:
julia
import GeoInterface as GI
+import{_ as t,c as i,j as s,a,a6 as e,o as n}from"./chunks/framework.Cn4AE4RY.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e(`
Closed Rings ​
julia
export ClosedRing
A closed ring is a ring that has the same start and end point. This is a requirement for a valid polygon (technically, for a valid LinearRing). This correction is used to ensure that the polygon is valid.
The reason this operates on the polygon level is that several packages are loose about whether they return LinearRings (which is correct) or LineStrings (which is incorrect) for the contents of a polygon. Therefore, we decompose manually to ensure correctness.
Example ​
Many polygon providers do not close their polygons, which makes them invalid according to the specification. Quite a few geometry algorithms assume that polygons are closed, and leaving them open can lead to incorrect results!
For example, the following polygon is not valid:
julia
import GeoInterface as GI
 polygon = GI.Polygon([[(0, 0), (1, 0), (1, 1), (0, 1)]])
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}([(0, 0), (1, 0), (1, 1), (0, 1)], nothing, nothing)], nothing, nothing)
even though it will look correct when visualized, and indeed appears correct.
julia
import GeometryOps as GO
 GO.fix(polygon, corrections = [GO.ClosedRing()])
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (1.0, 0.0), (1.0, 1.0), (0.0, 1.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)
`,12),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),o=[r],d=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"},E=e('',1),y=[E],u=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])],-1),F=e(`
Implementation ​
julia
"""
     ClosedRing() <: GeometryCorrection
diff --git a/dev/assets/source_transformations_correction_closed_ring.md.DntaP39m.lean.js b/dev/assets/source_transformations_correction_closed_ring.md.Ck1J5DHJ.lean.js
similarity index 97%
rename from dev/assets/source_transformations_correction_closed_ring.md.DntaP39m.lean.js
rename to dev/assets/source_transformations_correction_closed_ring.md.Ck1J5DHJ.lean.js
index 39eed1cc8..9be0d11b0 100644
--- a/dev/assets/source_transformations_correction_closed_ring.md.DntaP39m.lean.js
+++ b/dev/assets/source_transformations_correction_closed_ring.md.Ck1J5DHJ.lean.js
@@ -1 +1 @@
-import{_ as t,c as i,j as s,a,a6 as e,o as n}from"./chunks/framework.DJCAxKqx.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e("",12),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),o=[r],d=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"},E=e("",1),y=[E],u=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])],-1),F=e("",12);function m(C,_,v,T,b,f){return n(),i("div",null,[h,s("p",null,[a("You can see that the last point of the ring here is equal to the first point. For a polygon with "),s("mjx-container",p,[(n(),i("svg",k,o)),d]),a(" sides, there should be "),s("mjx-container",g,[(n(),i("svg",c,y)),u]),a(" vertices.")]),F])}const A=t(l,[["render",m]]);export{Q as __pageData,A as default};
+import{_ as t,c as i,j as s,a,a6 as e,o as n}from"./chunks/framework.Cn4AE4RY.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e("",12),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),o=[r],d=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"},E=e("",1),y=[E],u=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])],-1),F=e("",12);function m(C,_,v,T,b,f){return n(),i("div",null,[h,s("p",null,[a("You can see that the last point of the ring here is equal to the first point. For a polygon with "),s("mjx-container",p,[(n(),i("svg",k,o)),d]),a(" sides, there should be "),s("mjx-container",g,[(n(),i("svg",c,y)),u]),a(" vertices.")]),F])}const A=t(l,[["render",m]]);export{Q as __pageData,A as default};
diff --git a/dev/assets/source_transformations_correction_geometry_correction.md.D62mIWpm.js b/dev/assets/source_transformations_correction_geometry_correction.md.Cp0A_ni2.js
similarity index 99%
rename from dev/assets/source_transformations_correction_geometry_correction.md.D62mIWpm.js
rename to dev/assets/source_transformations_correction_geometry_correction.md.Cp0A_ni2.js
index 47e7b02bf..60e90beab 100644
--- a/dev/assets/source_transformations_correction_geometry_correction.md.D62mIWpm.js
+++ b/dev/assets/source_transformations_correction_geometry_correction.md.Cp0A_ni2.js
@@ -1,4 +1,4 @@
-import{_ as i,c as s,o as e,a6 as t}from"./chunks/framework.DJCAxKqx.js";const g=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t(`
Geometry Corrections ​
julia
export fix
This file simply defines the GeometryCorrection abstract type, and the interface that any GeometryCorrection must implement.
A geometry correction is a transformation that is applied to a geometry to correct it in some way.
For example, a ClosedRing correction might be applied to a Polygon to ensure that its exterior ring is closed.
Interface ​
All GeometryCorrections are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).
See below for the full interface specification.
# GeometryOps.GeometryCorrection — Type. 
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source

Any geometry correction must implement the interface as given above.
julia
"""
+import{_ as i,c as s,o as e,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const g=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t(`
Geometry Corrections ​
julia
export fix
This file simply defines the GeometryCorrection abstract type, and the interface that any GeometryCorrection must implement.
A geometry correction is a transformation that is applied to a geometry to correct it in some way.
For example, a ClosedRing correction might be applied to a Polygon to ensure that its exterior ring is closed.
Interface ​
All GeometryCorrections are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).
See below for the full interface specification.
# GeometryOps.GeometryCorrection — Type. 
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source

Any geometry correction must implement the interface as given above.
julia
"""
     abstract type GeometryCorrection
 
 This abstract type represents a geometry correction.
diff --git a/dev/assets/source_transformations_correction_geometry_correction.md.D62mIWpm.lean.js b/dev/assets/source_transformations_correction_geometry_correction.md.Cp0A_ni2.lean.js
similarity index 76%
rename from dev/assets/source_transformations_correction_geometry_correction.md.D62mIWpm.lean.js
rename to dev/assets/source_transformations_correction_geometry_correction.md.Cp0A_ni2.lean.js
index 375f8f1c7..5e8d597f6 100644
--- a/dev/assets/source_transformations_correction_geometry_correction.md.D62mIWpm.lean.js
+++ b/dev/assets/source_transformations_correction_geometry_correction.md.Cp0A_ni2.lean.js
@@ -1 +1 @@
-import{_ as i,c as s,o as e,a6 as t}from"./chunks/framework.DJCAxKqx.js";const g=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t("",23),r=[n];function o(l,p,h,c,k,d){return e(),s("div",null,r)}const m=i(a,[["render",o]]);export{g as __pageData,m as default};
+import{_ as i,c as s,o as e,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const g=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t("",23),r=[n];function o(l,p,h,c,k,d){return e(),s("div",null,r)}const m=i(a,[["render",o]]);export{g as __pageData,m as default};
diff --git a/dev/assets/source_transformations_correction_intersecting_polygons.md.CCU9SBBm.js b/dev/assets/source_transformations_correction_intersecting_polygons.md.HmFKeIB8.js
similarity index 99%
rename from dev/assets/source_transformations_correction_intersecting_polygons.md.CCU9SBBm.js
rename to dev/assets/source_transformations_correction_intersecting_polygons.md.HmFKeIB8.js
index a7a952ec3..73f61e678 100644
--- a/dev/assets/source_transformations_correction_intersecting_polygons.md.CCU9SBBm.js
+++ b/dev/assets/source_transformations_correction_intersecting_polygons.md.HmFKeIB8.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n(`
Intersecting Polygons ​
julia
export UnionIntersectingPolygons
If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirment for a valid multipolygon. However, different libraries may achieve this in different ways.
For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the UnionIntersectingPolygons correction.
The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon's that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.
Example ​
Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.
For example, the following multipolygon is not valid:
julia
import GeoInterface as GI
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n(`
Intersecting Polygons ​
julia
export UnionIntersectingPolygons
If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirment for a valid multipolygon. However, different libraries may achieve this in different ways.
For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the UnionIntersectingPolygons correction.
The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon's that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.
Example ​
Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.
For example, the following multipolygon is not valid:
julia
import GeoInterface as GI
 polygon = GI.Polygon([[(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)]])
 multipolygon = GI.MultiPolygon([polygon, polygon])
GeoInterface.Wrappers.MultiPolygon{false, false, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing), GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)
given that the two sub-polygons are the exact same shape.
julia
import GeometryOps as GO
 GO.fix(multipolygon, corrections = [GO.UnionIntersectingPolygons()])
GeoInterface.Wrappers.MultiPolygon{false, false, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)
You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.
Implementation ​
julia
"""
diff --git a/dev/assets/source_transformations_correction_intersecting_polygons.md.CCU9SBBm.lean.js b/dev/assets/source_transformations_correction_intersecting_polygons.md.HmFKeIB8.lean.js
similarity index 76%
rename from dev/assets/source_transformations_correction_intersecting_polygons.md.CCU9SBBm.lean.js
rename to dev/assets/source_transformations_correction_intersecting_polygons.md.HmFKeIB8.lean.js
index 736682914..233f1ed34 100644
--- a/dev/assets/source_transformations_correction_intersecting_polygons.md.CCU9SBBm.lean.js
+++ b/dev/assets/source_transformations_correction_intersecting_polygons.md.HmFKeIB8.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n("",22),h=[t];function p(e,k,r,g,o,E){return a(),i("div",null,h)}const c=s(l,[["render",p]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n("",22),h=[t];function p(e,k,r,g,o,E){return a(),i("div",null,h)}const c=s(l,[["render",p]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_transformations_extent.md.Binhj5-Q.js b/dev/assets/source_transformations_extent.md.CLj3UuKo.js
similarity index 95%
rename from dev/assets/source_transformations_extent.md.Binhj5-Q.js
rename to dev/assets/source_transformations_extent.md.CLj3UuKo.js
index 10c72f4da..30d936e3c 100644
--- a/dev/assets/source_transformations_extent.md.Binhj5-Q.js
+++ b/dev/assets/source_transformations_extent.md.CLj3UuKo.js
@@ -1,4 +1,4 @@
-import{_ as s,c as e,o as a,a6 as t}from"./chunks/framework.DJCAxKqx.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t(`
Extent embedding ​
julia
"""
+import{_ as s,c as e,o as a,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t(`
Extent embedding ​
julia
"""
     embed_extent(obj)
 
 Recursively wrap the object with a GeoInterface.jl geometry,
diff --git a/dev/assets/source_transformations_extent.md.Binhj5-Q.lean.js b/dev/assets/source_transformations_extent.md.CLj3UuKo.lean.js
similarity index 72%
rename from dev/assets/source_transformations_extent.md.Binhj5-Q.lean.js
rename to dev/assets/source_transformations_extent.md.CLj3UuKo.lean.js
index 2980d387b..4e3d3f6d4 100644
--- a/dev/assets/source_transformations_extent.md.Binhj5-Q.lean.js
+++ b/dev/assets/source_transformations_extent.md.CLj3UuKo.lean.js
@@ -1 +1 @@
-import{_ as s,c as e,o as a,a6 as t}from"./chunks/framework.DJCAxKqx.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t("",6),l=[i];function p(r,h,d,o,c,k){return a(),e("div",null,l)}const m=s(n,[["render",p]]);export{u as __pageData,m as default};
+import{_ as s,c as e,o as a,a6 as t}from"./chunks/framework.Cn4AE4RY.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t("",6),l=[i];function p(r,h,d,o,c,k){return a(),e("div",null,l)}const m=s(n,[["render",p]]);export{u as __pageData,m as default};
diff --git a/dev/assets/source_transformations_flip.md.nGRYw1RJ.js b/dev/assets/source_transformations_flip.md.B43jIgcn.js
similarity index 97%
rename from dev/assets/source_transformations_flip.md.nGRYw1RJ.js
rename to dev/assets/source_transformations_flip.md.B43jIgcn.js
index d63ab4259..9f28d38f9 100644
--- a/dev/assets/source_transformations_flip.md.nGRYw1RJ.js
+++ b/dev/assets/source_transformations_flip.md.B43jIgcn.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n(`
Coordinate flipping ​
This is a simple example of how to use the apply functionality in a function, by flipping the x and y coordinates of a geometry.
julia
"""
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n(`
Coordinate flipping ​
This is a simple example of how to use the apply functionality in a function, by flipping the x and y coordinates of a geometry.
julia
"""
     flip(obj)
 
 Swap all of the x and y coordinates in obj, otherwise
diff --git a/dev/assets/source_transformations_flip.md.nGRYw1RJ.lean.js b/dev/assets/source_transformations_flip.md.B43jIgcn.lean.js
similarity index 72%
rename from dev/assets/source_transformations_flip.md.nGRYw1RJ.lean.js
rename to dev/assets/source_transformations_flip.md.B43jIgcn.lean.js
index 3d3b260cb..62bcc0beb 100644
--- a/dev/assets/source_transformations_flip.md.nGRYw1RJ.lean.js
+++ b/dev/assets/source_transformations_flip.md.B43jIgcn.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n("",5),l=[t];function h(e,k,r,d,o,g){return a(),i("div",null,l)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n("",5),l=[t];function h(e,k,r,d,o,g){return a(),i("div",null,l)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_transformations_reproject.md.HOlLv8MG.js b/dev/assets/source_transformations_reproject.md.C1i7hAob.js
similarity index 98%
rename from dev/assets/source_transformations_reproject.md.HOlLv8MG.js
rename to dev/assets/source_transformations_reproject.md.C1i7hAob.js
index 6bec904f8..ed662417e 100644
--- a/dev/assets/source_transformations_reproject.md.HOlLv8MG.js
+++ b/dev/assets/source_transformations_reproject.md.C1i7hAob.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e('
Geometry reprojection ​
julia
export reproject
This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the Proj package for the transformation, but this could be moved to an extension if needed.
Note that the actual implementation is in the GeometryOpsProjExt extension module.
This works using the apply functionality.
julia
"""\n    reproject(geometry; source_crs, target_crs, transform, always_xy, time)\n    reproject(geometry, source_crs, target_crs; always_xy, time)\n    reproject(geometry, transform; always_xy, time)\n\nReproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.\n\nThe returned object will be constructed from `GeoInterface.WrapperGeometry`\ngeometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.\n\n!!! tip\n    The `Proj.jl` package must be loaded for this method to work,\n    since it is implemented in a package extension.\n\n# Arguments\n\n- `geometry`: Any GeoInterface.jl compatible geometries.\n- `source_crs`: the source coordinate referece system, as a GeoFormatTypes.jl object or a string.\n- `target_crs`: the target coordinate referece system, as a GeoFormatTypes.jl object or a string.\n\nIf these a passed as keywords, `transform` will take priority.\nWithout it `target_crs` is always needed, and `source_crs` is\nneeded if it is not retreivable from the geometry with `GeoInterface.crs(geometry)`.\n\n# Keywords\n\n- `always_xy`: force x, y coordinate order, `true` by default.\n    `false` will expect and return points in the crs coordinate order.\n- `time`: the time for the coordinates. `Inf` by default.\n$APPLY_KEYWORDS\n"""\nfunction reproject end
Method error handling ​
We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.
julia
function _reproject_error_hinter(io, exc, argtypes, kwargs)\n    if isnothing(Base.get_extension(GeometryOps, :GeometryOpsProjExt)) && exc.f == reproject\n        print(io, "\\n\\nThe `reproject` method requires the Proj.jl package to be explicitly loaded.\\n")\n        print(io, "You can do this by simply typing ")\n        printstyled(io, "using Proj"; color = :cyan, bold = true)\n        println(io, " in your REPL, \\nor otherwise loading Proj.jl via using or import.")\n    else # this is a more general error\n        nothing\n    end\nend
This page was generated using Literate.jl.
',11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e('
Geometry reprojection ​
julia
export reproject
This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the Proj package for the transformation, but this could be moved to an extension if needed.
Note that the actual implementation is in the GeometryOpsProjExt extension module.
This works using the apply functionality.
julia
"""\n    reproject(geometry; source_crs, target_crs, transform, always_xy, time)\n    reproject(geometry, source_crs, target_crs; always_xy, time)\n    reproject(geometry, transform; always_xy, time)\n\nReproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.\n\nThe returned object will be constructed from `GeoInterface.WrapperGeometry`\ngeometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.\n\n!!! tip\n    The `Proj.jl` package must be loaded for this method to work,\n    since it is implemented in a package extension.\n\n# Arguments\n\n- `geometry`: Any GeoInterface.jl compatible geometries.\n- `source_crs`: the source coordinate referece system, as a GeoFormatTypes.jl object or a string.\n- `target_crs`: the target coordinate referece system, as a GeoFormatTypes.jl object or a string.\n\nIf these a passed as keywords, `transform` will take priority.\nWithout it `target_crs` is always needed, and `source_crs` is\nneeded if it is not retreivable from the geometry with `GeoInterface.crs(geometry)`.\n\n# Keywords\n\n- `always_xy`: force x, y coordinate order, `true` by default.\n    `false` will expect and return points in the crs coordinate order.\n- `time`: the time for the coordinates. `Inf` by default.\n$APPLY_KEYWORDS\n"""\nfunction reproject end
Method error handling ​
We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.
julia
function _reproject_error_hinter(io, exc, argtypes, kwargs)\n    if isnothing(Base.get_extension(GeometryOps, :GeometryOpsProjExt)) && exc.f == reproject\n        print(io, "\\n\\nThe `reproject` method requires the Proj.jl package to be explicitly loaded.\\n")\n        print(io, "You can do this by simply typing ")\n        printstyled(io, "using Proj"; color = :cyan, bold = true)\n        println(io, " in your REPL, \\nor otherwise loading Proj.jl via using or import.")\n    else # this is a more general error\n        nothing\n    end\nend
This page was generated using Literate.jl.
',11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_transformations_reproject.md.HOlLv8MG.lean.js b/dev/assets/source_transformations_reproject.md.C1i7hAob.lean.js
similarity index 73%
rename from dev/assets/source_transformations_reproject.md.HOlLv8MG.lean.js
rename to dev/assets/source_transformations_reproject.md.C1i7hAob.lean.js
index f0765f567..ad5ae780c 100644
--- a/dev/assets/source_transformations_reproject.md.HOlLv8MG.lean.js
+++ b/dev/assets/source_transformations_reproject.md.C1i7hAob.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e("",11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e("",11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_transformations_segmentize.md.B_nuCH8j.js b/dev/assets/source_transformations_segmentize.md.AQ0w4RgV.js
similarity index 99%
rename from dev/assets/source_transformations_segmentize.md.B_nuCH8j.js
rename to dev/assets/source_transformations_segmentize.md.AQ0w4RgV.js
index 4a40444db..2b4857c4c 100644
--- a/dev/assets/source_transformations_segmentize.md.B_nuCH8j.js
+++ b/dev/assets/source_transformations_segmentize.md.AQ0w4RgV.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/altjkmu.BOOG5oTW.png",t="/GeometryOps.jl/dev/assets/feaqxvm.BJdVM-74.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/thvfbku.BOOG5oTW.png",t="/GeometryOps.jl/dev/assets/obqtyoh.CqDpLRzb.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/dev/assets/source_transformations_segmentize.md.B_nuCH8j.lean.js b/dev/assets/source_transformations_segmentize.md.AQ0w4RgV.lean.js
similarity index 66%
rename from dev/assets/source_transformations_segmentize.md.B_nuCH8j.lean.js
rename to dev/assets/source_transformations_segmentize.md.AQ0w4RgV.lean.js
index 7e5f6e6ef..36bb57ab3 100644
--- a/dev/assets/source_transformations_segmentize.md.B_nuCH8j.lean.js
+++ b/dev/assets/source_transformations_segmentize.md.AQ0w4RgV.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/altjkmu.BOOG5oTW.png",t="/GeometryOps.jl/dev/assets/feaqxvm.BJdVM-74.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/thvfbku.BOOG5oTW.png",t="/GeometryOps.jl/dev/assets/obqtyoh.CqDpLRzb.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/dev/assets/source_transformations_simplify.md.TWB6rHYa.js b/dev/assets/source_transformations_simplify.md.CjNNzNgr.js
similarity index 99%
rename from dev/assets/source_transformations_simplify.md.TWB6rHYa.js
rename to dev/assets/source_transformations_simplify.md.CjNNzNgr.js
index 3102c9b9e..dfc143751 100644
--- a/dev/assets/source_transformations_simplify.md.TWB6rHYa.js
+++ b/dev/assets/source_transformations_simplify.md.CjNNzNgr.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/rubxwyt.Bglvb-jp.png",l="/GeometryOps.jl/dev/assets/twwqcsb.B94PsR1K.png",k="/GeometryOps.jl/dev/assets/xsirxvr.DnrA7DMk.png",t="/GeometryOps.jl/dev/assets/etiswta.BKLZ4IeK.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/cdxygpr.Bglvb-jp.png",l="/GeometryOps.jl/dev/assets/mtdxfys.B94PsR1K.png",k="/GeometryOps.jl/dev/assets/qiefmaz.C5KSsOP7.png",t="/GeometryOps.jl/dev/assets/nugljxg.CGwSUBjA.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/dev/assets/source_transformations_simplify.md.TWB6rHYa.lean.js b/dev/assets/source_transformations_simplify.md.CjNNzNgr.lean.js
similarity index 53%
rename from dev/assets/source_transformations_simplify.md.TWB6rHYa.lean.js
rename to dev/assets/source_transformations_simplify.md.CjNNzNgr.lean.js
index a62863f9b..43542769d 100644
--- a/dev/assets/source_transformations_simplify.md.TWB6rHYa.lean.js
+++ b/dev/assets/source_transformations_simplify.md.CjNNzNgr.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const h="/GeometryOps.jl/dev/assets/rubxwyt.Bglvb-jp.png",l="/GeometryOps.jl/dev/assets/twwqcsb.B94PsR1K.png",k="/GeometryOps.jl/dev/assets/xsirxvr.DnrA7DMk.png",t="/GeometryOps.jl/dev/assets/etiswta.BKLZ4IeK.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.Cn4AE4RY.js";const h="/GeometryOps.jl/dev/assets/cdxygpr.Bglvb-jp.png",l="/GeometryOps.jl/dev/assets/mtdxfys.B94PsR1K.png",k="/GeometryOps.jl/dev/assets/qiefmaz.C5KSsOP7.png",t="/GeometryOps.jl/dev/assets/nugljxg.CGwSUBjA.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/dev/assets/source_transformations_transform.md.DPAnmLjJ.js b/dev/assets/source_transformations_transform.md.C6uC9k1q.js
similarity index 98%
rename from dev/assets/source_transformations_transform.md.DPAnmLjJ.js
rename to dev/assets/source_transformations_transform.md.C6uC9k1q.js
index e5ea82759..89895d636 100644
--- a/dev/assets/source_transformations_transform.md.DPAnmLjJ.js
+++ b/dev/assets/source_transformations_transform.md.C6uC9k1q.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n(`
Pointwise transformation ​
julia
"""
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n(`
Pointwise transformation ​
julia
"""
     transform(f, obj)
 
 Apply a function \`f\` to all the points in \`obj\`.
diff --git a/dev/assets/source_transformations_transform.md.DPAnmLjJ.lean.js b/dev/assets/source_transformations_transform.md.C6uC9k1q.lean.js
similarity index 73%
rename from dev/assets/source_transformations_transform.md.DPAnmLjJ.lean.js
rename to dev/assets/source_transformations_transform.md.C6uC9k1q.lean.js
index 8238387da..da3d8b354 100644
--- a/dev/assets/source_transformations_transform.md.DPAnmLjJ.lean.js
+++ b/dev/assets/source_transformations_transform.md.C6uC9k1q.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n("",4),e=[l];function p(h,r,k,o,g,F){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{d as __pageData,y as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n("",4),e=[l];function p(h,r,k,o,g,F){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{d as __pageData,y as default};
diff --git a/dev/assets/source_transformations_tuples.md.Cnq1Lhn-.js b/dev/assets/source_transformations_tuples.md.BVqVM9jE.js
similarity index 96%
rename from dev/assets/source_transformations_tuples.md.Cnq1Lhn-.js
rename to dev/assets/source_transformations_tuples.md.BVqVM9jE.js
index 8a3632004..fe3f97dc2 100644
--- a/dev/assets/source_transformations_tuples.md.Cnq1Lhn-.js
+++ b/dev/assets/source_transformations_tuples.md.BVqVM9jE.js
@@ -1,4 +1,4 @@
-import{_ as s,c as a,o as n,a6 as i}from"./chunks/framework.DJCAxKqx.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i(`
Tuple conversion ​
julia
"""
+import{_ as s,c as a,o as n,a6 as i}from"./chunks/framework.Cn4AE4RY.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i(`
Tuple conversion ​
julia
"""
     tuples(obj)
 
 Convert all points in \`obj\` to \`Tuple\`s, wherever the are nested.
diff --git a/dev/assets/source_transformations_tuples.md.Cnq1Lhn-.lean.js b/dev/assets/source_transformations_tuples.md.BVqVM9jE.lean.js
similarity index 72%
rename from dev/assets/source_transformations_tuples.md.Cnq1Lhn-.lean.js
rename to dev/assets/source_transformations_tuples.md.BVqVM9jE.lean.js
index 67feb750b..a210bd60d 100644
--- a/dev/assets/source_transformations_tuples.md.Cnq1Lhn-.lean.js
+++ b/dev/assets/source_transformations_tuples.md.BVqVM9jE.lean.js
@@ -1 +1 @@
-import{_ as s,c as a,o as n,a6 as i}from"./chunks/framework.DJCAxKqx.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i("",6),p=[t];function l(o,r,h,c,k,d){return n(),a("div",null,p)}const g=s(e,[["render",l]]);export{u as __pageData,g as default};
+import{_ as s,c as a,o as n,a6 as i}from"./chunks/framework.Cn4AE4RY.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i("",6),p=[t];function l(o,r,h,c,k,d){return n(),a("div",null,p)}const g=s(e,[["render",l]]);export{u as __pageData,g as default};
diff --git a/dev/assets/source_types.md.iAGAINF3.js b/dev/assets/source_types.md.DDiIM0pE.js
similarity index 99%
rename from dev/assets/source_types.md.iAGAINF3.js
rename to dev/assets/source_types.md.DDiIM0pE.js
index f070fe665..514d70e5a 100644
--- a/dev/assets/source_types.md.iAGAINF3.js
+++ b/dev/assets/source_types.md.DDiIM0pE.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n(`
Types ​
This file defines some fundamental types used in GeometryOps.
Warning
Unlike in other Julia packages, only some types are defined in this file, not all. This is because we define types in the files where they are used, to make it easier to understand the code.
julia
export TraitTarget, GEOS
TraitTarget ​
This struct holds a trait parameter or a union of trait parameters. It's essentially a way to construct unions.
julia
"""
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n(`
Types ​
This file defines some fundamental types used in GeometryOps.
Warning
Unlike in other Julia packages, only some types are defined in this file, not all. This is because we define types in the files where they are used, to make it easier to understand the code.
julia
export TraitTarget, GEOS
TraitTarget ​
This struct holds a trait parameter or a union of trait parameters. It's essentially a way to construct unions.
julia
"""
     TraitTarget{T}
 
 This struct holds a trait parameter or a union of trait parameters.
diff --git a/dev/assets/source_types.md.iAGAINF3.lean.js b/dev/assets/source_types.md.DDiIM0pE.lean.js
similarity index 68%
rename from dev/assets/source_types.md.iAGAINF3.lean.js
rename to dev/assets/source_types.md.DDiIM0pE.lean.js
index 0031fbd76..828203b82 100644
--- a/dev/assets/source_types.md.iAGAINF3.lean.js
+++ b/dev/assets/source_types.md.DDiIM0pE.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n("",27),l=[e];function p(h,k,r,d,o,g){return a(),i("div",null,l)}const E=s(t,[["render",p]]);export{y as __pageData,E as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n("",27),l=[e];function p(h,k,r,d,o,g){return a(),i("div",null,l)}const E=s(t,[["render",p]]);export{y as __pageData,E as default};
diff --git a/dev/assets/source_utils.md.BODgQKSD.js b/dev/assets/source_utils.md.6hCamGFf.js
similarity index 99%
rename from dev/assets/source_utils.md.BODgQKSD.js
rename to dev/assets/source_utils.md.6hCamGFf.js
index e23620e11..7b44d4e65 100644
--- a/dev/assets/source_utils.md.BODgQKSD.js
+++ b/dev/assets/source_utils.md.6hCamGFf.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n(`
Utility functions ​
julia
_is3d(geom)::Bool = _is3d(GI.trait(geom), geom)
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n(`
Utility functions ​
julia
_is3d(geom)::Bool = _is3d(GI.trait(geom), geom)
 _is3d(::GI.AbstractGeometryTrait, geom)::Bool = GI.is3d(geom)
 _is3d(::GI.FeatureTrait, feature)::Bool = _is3d(GI.geometry(feature))
 _is3d(::GI.FeatureCollectionTrait, fc)::Bool = _is3d(GI.getfeature(fc, 1))
diff --git a/dev/assets/source_utils.md.BODgQKSD.lean.js b/dev/assets/source_utils.md.6hCamGFf.lean.js
similarity index 69%
rename from dev/assets/source_utils.md.BODgQKSD.lean.js
rename to dev/assets/source_utils.md.6hCamGFf.lean.js
index 93b2f85cf..2738eb6b1 100644
--- a/dev/assets/source_utils.md.BODgQKSD.lean.js
+++ b/dev/assets/source_utils.md.6hCamGFf.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.DJCAxKqx.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n("",8),l=[p];function h(k,e,r,F,g,d){return a(),i("div",null,l)}const o=s(t,[["render",h]]);export{y as __pageData,o as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.Cn4AE4RY.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n("",8),l=[p];function h(k,e,r,F,g,d){return a(),i("div",null,l)}const o=s(t,[["render",h]]);export{y as __pageData,o as default};
diff --git a/dev/assets/altjkmu.BOOG5oTW.png b/dev/assets/thvfbku.BOOG5oTW.png
similarity index 100%
rename from dev/assets/altjkmu.BOOG5oTW.png
rename to dev/assets/thvfbku.BOOG5oTW.png
diff --git a/dev/assets/tstalrv.Do62yfNb.png b/dev/assets/tstalrv.Do62yfNb.png
deleted file mode 100644
index 96cbbade2..000000000
Binary files a/dev/assets/tstalrv.Do62yfNb.png and /dev/null differ
diff --git a/dev/assets/tutorials_creating_geometry.md.C6zM1Pbx.lean.js b/dev/assets/tutorials_creating_geometry.md.C6zM1Pbx.lean.js
deleted file mode 100644
index eb8919a88..000000000
--- a/dev/assets/tutorials_creating_geometry.md.C6zM1Pbx.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const t="/GeometryOps.jl/dev/assets/kazrcgg.Dz86q2IX.png",n="/GeometryOps.jl/dev/assets/ojglqmr.Cx40vhB3.png",l="/GeometryOps.jl/dev/assets/vykpdvi.0OJvb21A.png",p="/GeometryOps.jl/dev/assets/vaqxdih.DaovVbE6.png",h="/GeometryOps.jl/dev/assets/ztelvwq.BaZeu6ul.png",k="/GeometryOps.jl/dev/assets/ytdmvcb.DFgr-JEI.png",o="/GeometryOps.jl/dev/assets/fywrqdl.yuGUdylf.png",r="/GeometryOps.jl/dev/assets/nwmycxf.CXhMGpE5.png",g="/GeometryOps.jl/dev/assets/zdhpbjo.lu4jwpi-.png",d="/GeometryOps.jl/dev/assets/myliwke.DwqDxlAG.png",E="/GeometryOps.jl/dev/assets/tsxqssm.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 N=s(c,[["render",u]]);export{D as __pageData,N as default};
diff --git a/dev/assets/tutorials_creating_geometry.md.C6zM1Pbx.js b/dev/assets/tutorials_creating_geometry.md.Dm6HzB5S.js
similarity index 89%
rename from dev/assets/tutorials_creating_geometry.md.C6zM1Pbx.js
rename to dev/assets/tutorials_creating_geometry.md.Dm6HzB5S.js
index 5277c2e9e..486b0e201 100644
--- a/dev/assets/tutorials_creating_geometry.md.C6zM1Pbx.js
+++ b/dev/assets/tutorials_creating_geometry.md.Dm6HzB5S.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const t="/GeometryOps.jl/dev/assets/kazrcgg.Dz86q2IX.png",n="/GeometryOps.jl/dev/assets/ojglqmr.Cx40vhB3.png",l="/GeometryOps.jl/dev/assets/vykpdvi.0OJvb21A.png",p="/GeometryOps.jl/dev/assets/vaqxdih.DaovVbE6.png",h="/GeometryOps.jl/dev/assets/ztelvwq.BaZeu6ul.png",k="/GeometryOps.jl/dev/assets/ytdmvcb.DFgr-JEI.png",o="/GeometryOps.jl/dev/assets/fywrqdl.yuGUdylf.png",r="/GeometryOps.jl/dev/assets/nwmycxf.CXhMGpE5.png",g="/GeometryOps.jl/dev/assets/zdhpbjo.lu4jwpi-.png",d="/GeometryOps.jl/dev/assets/myliwke.DwqDxlAG.png",E="/GeometryOps.jl/dev/assets/tsxqssm.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.Cn4AE4RY.js";const t="/GeometryOps.jl/dev/assets/qhuyhbx.Dz86q2IX.png",n="/GeometryOps.jl/dev/assets/rdtzzvm.Cx40vhB3.png",l="/GeometryOps.jl/dev/assets/kxwijav.0OJvb21A.png",p="/GeometryOps.jl/dev/assets/qgngnes.DaovVbE6.png",h="/GeometryOps.jl/dev/assets/agonpww.BaZeu6ul.png",o="/GeometryOps.jl/dev/assets/yjwvhql.DFgr-JEI.png",k="/GeometryOps.jl/dev/assets/hyfmeiz.yuGUdylf.png",r="/GeometryOps.jl/dev/assets/rfubcoy.CXhMGpE5.png",g="/GeometryOps.jl/dev/assets/ruaxpdt.lu4jwpi-.png",d="/GeometryOps.jl/dev/assets/jnxgdcy.DwqDxlAG.png",E="/GeometryOps.jl/dev/assets/bctnugx.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
@@ -32,13 +32,13 @@ import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const t
 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)));
@@ -48,7 +48,7 @@ import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const t
 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/y0Tfj/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].
Plot geometries on a map using GeoMakie and coordinate reference system (CRS) ​
In geospatial sciences we often have data in one Coordinate Reference System (CRS) (source) and would like to display it in different (destination) CRS. GeoMakie allows us to do this by automatically projecting from source to destination CRS.
Here, our source CRS is common geographic (i.e. coordinates of latitude and longitude), WGS84.
julia
source_crs1 = GFT.EPSG(4326)
GeoFormatTypes.EPSG{1}((4326,))
Now let's pick a destination CRS for displaying our map. Here we'll pick natearth2.
julia
destination_crs = "+proj=natearth2"
"+proj=natearth2"
Let's add land area for context. First, download and open the Natural Earth global land polygons at 110 m resolution.GeoMakie ships with this particular dataset, so we will access it from there.
julia
land_path = GeoMakie.assetpath("ne_110m_land.geojson")
"/home/runner/.julia/packages/GeoMakie/Tu92I/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,
@@ -67,7 +67,7 @@ import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const t
  ⋮
  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
Create geospatial geometries with embedded coordinate reference system information
Great, we can make geometries and plot them on a map... now let's export the data to common geospatial data formats. To do this we now need to create geometries with embedded CRS information, making it a geospatial geometry. All that's needed is to include ; crs = crs as a keyword argument when constructing the geometry.
Let's do this for a new Polygon
julia
r = 3;
 k = 7;
 ϴ = 0:0.01:2pi;
 x = r .* (k + 1) .* cos.(ϴ) .- r .* cos.((k + 1) .* ϴ);
@@ -86,4 +86,4 @@ import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.DJCAxKqx.js";const t
 fn = "shapes.parquet"
 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.
`,119),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const N=s(c,[["render",u]]);export{D as __pageData,N as default};
+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.
`,120),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const N=s(c,[["render",u]]);export{D as __pageData,N as default};
diff --git a/dev/assets/tutorials_creating_geometry.md.Dm6HzB5S.lean.js b/dev/assets/tutorials_creating_geometry.md.Dm6HzB5S.lean.js
new file mode 100644
index 000000000..4f4dd13eb
--- /dev/null
+++ b/dev/assets/tutorials_creating_geometry.md.Dm6HzB5S.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.Cn4AE4RY.js";const t="/GeometryOps.jl/dev/assets/qhuyhbx.Dz86q2IX.png",n="/GeometryOps.jl/dev/assets/rdtzzvm.Cx40vhB3.png",l="/GeometryOps.jl/dev/assets/kxwijav.0OJvb21A.png",p="/GeometryOps.jl/dev/assets/qgngnes.DaovVbE6.png",h="/GeometryOps.jl/dev/assets/agonpww.BaZeu6ul.png",o="/GeometryOps.jl/dev/assets/yjwvhql.DFgr-JEI.png",k="/GeometryOps.jl/dev/assets/hyfmeiz.yuGUdylf.png",r="/GeometryOps.jl/dev/assets/rfubcoy.CXhMGpE5.png",g="/GeometryOps.jl/dev/assets/ruaxpdt.lu4jwpi-.png",d="/GeometryOps.jl/dev/assets/jnxgdcy.DwqDxlAG.png",E="/GeometryOps.jl/dev/assets/bctnugx.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e("",120),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const N=s(c,[["render",u]]);export{D as __pageData,N as default};
diff --git a/dev/assets/tutorials_spatial_joins.md.DAg6yQXg.js b/dev/assets/tutorials_spatial_joins.md.CwUcncdF.js
similarity index 99%
rename from dev/assets/tutorials_spatial_joins.md.DAg6yQXg.js
rename to dev/assets/tutorials_spatial_joins.md.CwUcncdF.js
index 0777b5296..2063d004b 100644
--- a/dev/assets/tutorials_spatial_joins.md.DAg6yQXg.js
+++ b/dev/assets/tutorials_spatial_joins.md.CwUcncdF.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.DJCAxKqx.js";const e="/GeometryOps.jl/dev/assets/jdcpluv.3UVIT8DR.png",l="/GeometryOps.jl/dev/assets/tstalrv.Do62yfNb.png",p="/GeometryOps.jl/dev/assets/lqphivm.DQgYdYl9.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.Cn4AE4RY.js";const e="/GeometryOps.jl/dev/assets/opoddkd.3UVIT8DR.png",l="/GeometryOps.jl/dev/assets/zdbbcgo.BJjF9rN3.png",p="/GeometryOps.jl/dev/assets/zujgzgt.DldxlgUC.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/dev/assets/tutorials_spatial_joins.md.DAg6yQXg.lean.js b/dev/assets/tutorials_spatial_joins.md.CwUcncdF.lean.js
similarity index 91%
rename from dev/assets/tutorials_spatial_joins.md.DAg6yQXg.lean.js
rename to dev/assets/tutorials_spatial_joins.md.CwUcncdF.lean.js
index 2dad651b2..252e5e9e5 100644
--- a/dev/assets/tutorials_spatial_joins.md.DAg6yQXg.lean.js
+++ b/dev/assets/tutorials_spatial_joins.md.CwUcncdF.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.DJCAxKqx.js";const e="/GeometryOps.jl/dev/assets/jdcpluv.3UVIT8DR.png",l="/GeometryOps.jl/dev/assets/tstalrv.Do62yfNb.png",p="/GeometryOps.jl/dev/assets/lqphivm.DQgYdYl9.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.Cn4AE4RY.js";const e="/GeometryOps.jl/dev/assets/opoddkd.3UVIT8DR.png",l="/GeometryOps.jl/dev/assets/zdbbcgo.BJjF9rN3.png",p="/GeometryOps.jl/dev/assets/zujgzgt.DldxlgUC.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/dev/assets/ntaogjs.-VpeHhXX.png b/dev/assets/xbccwvi.-VpeHhXX.png
similarity index 100%
rename from dev/assets/ntaogjs.-VpeHhXX.png
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diff --git a/dev/call_notes.html b/dev/call_notes.html
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--- a/dev/call_notes.html
+++ b/dev/call_notes.html
@@ -8,18 +8,18 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
   
   
     
GeometryOps.jl
Appearance
20th April, 2024 ​
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections

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index 887488b24..14faa4b49 100644
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@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
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-    
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@@ -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/dev/experiments/predicates.html b/dev/experiments/predicates.html index 104c63ce6..9cb0560be 100644 --- a/dev/experiments/predicates.html +++ b/dev/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/dev/explanations/crs.html b/dev/explanations/crs.html index f758dcfed..7b9b731d6 100644 --- a/dev/explanations/crs.html +++ b/dev/explanations/crs.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

- + \ No newline at end of file diff --git a/dev/explanations/paradigms.html b/dev/explanations/paradigms.html index 36f9ccead..69c62fcd0 100644 --- a/dev/explanations/paradigms.html +++ b/dev/explanations/paradigms.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

Paradigms ​

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

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

apply ​

The apply function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:

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

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

apply will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.

apply is unlike map in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.

applyreduce ​

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

fix and prepare ​

The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.

In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)

- + \ No newline at end of file diff --git a/dev/explanations/peculiarities.html b/dev/explanations/peculiarities.html index 4ef3c1892..f6fecd72a 100644 --- a/dev/explanations/peculiarities.html +++ b/dev/explanations/peculiarities.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

Peculiarities ​

What does apply return and why? ​

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

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

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

In polygon set operations like intersection, difference, and union, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.

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

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

_True and _False (or BoolsAsTypes) ​

Warning

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

When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like threaded and calc_extent in apply, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about

- + \ No newline at end of file diff --git a/dev/explanations/winding_order.html b/dev/explanations/winding_order.html index 044b62dd9..e97e85134 100644 --- a/dev/explanations/winding_order.html +++ b/dev/explanations/winding_order.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

- + \ No newline at end of file diff --git a/dev/hashmap.json b/dev/hashmap.json index eab1cfde0..9c908f4b7 100644 --- a/dev/hashmap.json +++ b/dev/hashmap.json @@ -1 +1 @@ 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diff --git a/dev/index.html b/dev/index.html index f89a2b078..085d39ada 100644 --- a/dev/index.html +++ b/dev/index.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

GeometryOps.jl

Blazing fast geometry operations in pure Julia

Introduction
View on Github
API Reference
GeometryOps
Julia code

Pure Julia code

Fast, understandable, extensible functions

Literate programming

Documented source code with examples!

Full integration with GeoInterface

Use any GeoInterface.jl-compatible geometry

What is GeometryOps.jl?

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

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

Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.

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

- + \ No newline at end of file diff --git a/dev/introduction.html b/dev/introduction.html index 759afb4ce..d7455c1c1 100644 --- a/dev/introduction.html +++ b/dev/introduction.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

Introduction ​

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

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

Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.

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

Main concepts ​

The apply paradigm ​

Note

See the Primitive Functions page for more information on this.

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

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

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

What's this GeoInterface.Wrapper thing? ​

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

- + \ No newline at end of file diff --git a/dev/source/GeometryOps.html b/dev/source/GeometryOps.html index 56f739be8..442630d60 100644 --- a/dev/source/GeometryOps.html +++ b/dev/source/GeometryOps.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -90,7 +90,7 @@ end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/angles.html b/dev/source/methods/angles.html index def9046eb..580481b3d 100644 --- a/dev/source/methods/angles.html +++ b/dev/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/dev/source/methods/area.html b/dev/source/methods/area.html index 9b9e0a3e1..d3e0a9d1b 100644 --- a/dev/source/methods/area.html +++ b/dev/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/dev/source/methods/barycentric.html b/dev/source/methods/barycentric.html index 91ee0690d..3a58e3b9c 100644 --- a/dev/source/methods/barycentric.html +++ b/dev/source/methods/barycentric.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -433,7 +433,7 @@ struct Wachspress <: AbstractBarycentricCoordinateMethod end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/buffer.html b/dev/source/methods/buffer.html index 38530e539..6ba9cedae 100644 --- a/dev/source/methods/buffer.html +++ b/dev/source/methods/buffer.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ println(io, " in your REPL, \nor otherwise loading LibGEOS.jl via using or import.") end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/centroid.html b/dev/source/methods/centroid.html index f27899526..20b3fafc5 100644 --- a/dev/source/methods/centroid.html +++ b/dev/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/dev/source/methods/clipping/clipping_processor.html b/dev/source/methods/clipping/clipping_processor.html index 36278f404..21968fc7c 100644 --- a/dev/source/methods/clipping/clipping_processor.html +++ b/dev/source/methods/clipping/clipping_processor.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -525,7 +525,7 @@ end return end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/coverage.html b/dev/source/methods/clipping/coverage.html index 097a758b8..d816801fc 100644 --- a/dev/source/methods/clipping/coverage.html +++ b/dev/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/dev/source/methods/clipping/cut.html b/dev/source/methods/clipping/cut.html index 66e774d58..2029ef3bd 100644 --- a/dev/source/methods/clipping/cut.html +++ b/dev/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/dev/source/methods/clipping/difference.html b/dev/source/methods/clipping/difference.html index b38ad620d..30e545ddf 100644 --- a/dev/source/methods/clipping/difference.html +++ b/dev/source/methods/clipping/difference.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -184,7 +184,7 @@ ) return nothing end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/intersection.html b/dev/source/methods/clipping/intersection.html index 59945ee8f..f6c53e03e 100644 --- a/dev/source/methods/clipping/intersection.html +++ b/dev/source/methods/clipping/intersection.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -401,7 +401,7 @@ α, β = _clamped_frac(distance(min_pt, a2, T), a_dist, eps(T)), one(T) - eps(T) end

Return point with smallest distance

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

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/predicates.html b/dev/source/methods/clipping/predicates.html index d904b92ad..c4dce3cde 100644 --- a/dev/source/methods/clipping/predicates.html +++ b/dev/source/methods/clipping/predicates.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -62,7 +62,7 @@ end import .Predicates

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

function cross(a, b, c) # try Predicates._cross_naive(a, b, c) # check the error bound there # then try Predicates._cross_adaptive(a, b, c) # then try Predicates._cross_exact end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/union.html b/dev/source/methods/clipping/union.html index da0f230f0..85fce4737 100644 --- a/dev/source/methods/clipping/union.html +++ b/dev/source/methods/clipping/union.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -268,7 +268,7 @@ throw(ArgumentError("Union between $trait_a and $trait_b with target $Target isn't implemented yet.")) return nothing end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/distance.html b/dev/source/methods/distance.html index e6b213044..eef12abe7 100644 --- a/dev/source/methods/distance.html +++ b/dev/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/dev/source/methods/equals.html b/dev/source/methods/equals.html index 8bf540905..534952ed4 100644 --- a/dev/source/methods/equals.html +++ b/dev/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/dev/source/methods/geom_relations/contains.html b/dev/source/methods/geom_relations/contains.html index e180dbfbe..7697179a6 100644 --- a/dev/source/methods/geom_relations/contains.html +++ b/dev/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/dev/source/methods/geom_relations/coveredby.html b/dev/source/methods/geom_relations/coveredby.html index c508804e3..564e9662b 100644 --- a/dev/source/methods/geom_relations/coveredby.html +++ b/dev/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/dev/source/methods/geom_relations/covers.html b/dev/source/methods/geom_relations/covers.html index 8cee42faf..3c69c3d1a 100644 --- a/dev/source/methods/geom_relations/covers.html +++ b/dev/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/dev/source/methods/geom_relations/crosses.html b/dev/source/methods/geom_relations/crosses.html index 85a0dc83e..67355ed85 100644 --- a/dev/source/methods/geom_relations/crosses.html +++ b/dev/source/methods/geom_relations/crosses.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -138,7 +138,7 @@ end return false end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/geom_relations/disjoint.html b/dev/source/methods/geom_relations/disjoint.html index fd25ff3e0..db79f5921 100644 --- a/dev/source/methods/geom_relations/disjoint.html +++ b/dev/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/dev/source/methods/geom_relations/geom_geom_processors.html b/dev/source/methods/geom_relations/geom_geom_processors.html index 282a7c691..63a3ed5b8 100644 --- a/dev/source/methods/geom_relations/geom_geom_processors.html +++ b/dev/source/methods/geom_relations/geom_geom_processors.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -455,7 +455,7 @@ end return skip, returnval end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/geom_relations/intersects.html b/dev/source/methods/geom_relations/intersects.html index 0978969f6..e7fbeb2c0 100644 --- a/dev/source/methods/geom_relations/intersects.html +++ b/dev/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/dev/source/methods/geom_relations/overlaps.html b/dev/source/methods/geom_relations/overlaps.html index 0eab336e8..80a5aabea 100644 --- a/dev/source/methods/geom_relations/overlaps.html +++ b/dev/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/dev/source/methods/geom_relations/touches.html b/dev/source/methods/geom_relations/touches.html index a82277452..28813fd66 100644 --- a/dev/source/methods/geom_relations/touches.html +++ b/dev/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/dev/source/methods/geom_relations/within.html b/dev/source/methods/geom_relations/within.html index 39e821680..0bd69fc9f 100644 --- a/dev/source/methods/geom_relations/within.html +++ b/dev/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/dev/source/methods/orientation.html b/dev/source/methods/orientation.html index d88b7e4b1..6b4d80a2b 100644 --- a/dev/source/methods/orientation.html +++ b/dev/source/methods/orientation.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -118,7 +118,7 @@ _isparallel(bx - ax, by - ay, dx - cx, dy - cy) _isparallel(Δx1, Δy1, Δx2, Δy2) = (Δx1 * Δy2 == Δy1 * Δx2)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/polygonize.html b/dev/source/methods/polygonize.html index 5622a1e0c..ac82386dd 100644 --- a/dev/source/methods/polygonize.html +++ b/dev/source/methods/polygonize.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -307,7 +307,7 @@ end return edges end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/not_implemented_yet.html b/dev/source/not_implemented_yet.html index 79a37d34f..f24cec76d 100644 --- a/dev/source/not_implemented_yet.html +++ b/dev/source/not_implemented_yet.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -22,7 +22,7 @@ function buffer end function convexhull end function concavehull end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/primitives.html b/dev/source/primitives.html index 1280d7a62..2e6a0cac0 100644 --- a/dev/source/primitives.html +++ b/dev/source/primitives.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -323,7 +323,7 @@ Base.@assume_effects :foldable function _mapreducetasks(f::F, op, taskrange, threaded::_False; init) where F mapreduce(f, op, taskrange; init) end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/correction/closed_ring.html b/dev/source/transformations/correction/closed_ring.html index ece5fbacc..08a078869 100644 --- a/dev/source/transformations/correction/closed_ring.html +++ b/dev/source/transformations/correction/closed_ring.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -48,7 +48,7 @@ else

Assemble the ring as a vector

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

Close the ring

julia
        push!(tups, tups[1])

Return an actual ring

julia
        return GI.LinearRing(tups)
     end
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/correction/geometry_correction.html b/dev/source/transformations/correction/geometry_correction.html index 2d1f8b118..7f5ada0cb 100644 --- a/dev/source/transformations/correction/geometry_correction.html +++ b/dev/source/transformations/correction/geometry_correction.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -49,7 +49,7 @@ end return final_geometry end

Available corrections ​

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

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

It can be called on any geometry correction as usual.

See also GeometryCorrection.

source


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

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

source


# GeometryOps.GeometryCorrection — Type.
julia
abstract type GeometryCorrection

This abstract type represents a geometry correction.

Interface

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

source


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

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

See also GeometryCorrection.

source


This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/correction/intersecting_polygons.html b/dev/source/transformations/correction/intersecting_polygons.html index b92c55449..cfd7655e8 100644 --- a/dev/source/transformations/correction/intersecting_polygons.html +++ b/dev/source/transformations/correction/intersecting_polygons.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -115,7 +115,7 @@ end return diff_multipoly end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/extent.html b/dev/source/transformations/extent.html index 33856ca24..2d9bab4d7 100644 --- a/dev/source/transformations/extent.html +++ b/dev/source/transformations/extent.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -31,7 +31,7 @@ """ embed_extent(x; threaded=false, crs=nothing) = apply(identity, GI.PointTrait(), x; calc_extent=true, threaded, crs)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/flip.html b/dev/source/transformations/flip.html index 04325678d..beba2bd29 100644 --- a/dev/source/transformations/flip.html +++ b/dev/source/transformations/flip.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -40,7 +40,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/reproject.html b/dev/source/transformations/reproject.html index c68decfc5..abc6916f4 100644 --- a/dev/source/transformations/reproject.html +++ b/dev/source/transformations/reproject.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -59,7 +59,7 @@ nothing end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/segmentize.html b/dev/source/transformations/segmentize.html index 43e4997fa..9b723dc76 100644 --- a/dev/source/transformations/segmentize.html +++ b/dev/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/dev/source/transformations/simplify.html b/dev/source/transformations/simplify.html index 4af1af72a..29d0967c4 100644 --- a/dev/source/transformations/simplify.html +++ b/dev/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/dev/source/transformations/transform.html b/dev/source/transformations/transform.html index 55cf91815..8ad6844b8 100644 --- a/dev/source/transformations/transform.html +++ b/dev/source/transformations/transform.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -73,7 +73,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/tuples.html b/dev/source/transformations/tuples.html index 6aca18f76..9e84a877b 100644 --- a/dev/source/transformations/tuples.html +++ b/dev/source/transformations/tuples.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -37,7 +37,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/types.html b/dev/source/types.html index 3959947e7..789bc06fa 100644 --- a/dev/source/types.html +++ b/dev/source/types.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -85,7 +85,7 @@ error("$(f) requires a `$(kw)` keyword argument to the `GEOS` algorithm, which was not provided.") end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/utils.html b/dev/source/utils.html index 8852126fc..bc307b087 100644 --- a/dev/source/utils.html +++ b/dev/source/utils.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -138,7 +138,7 @@ (x1, x2), (y1, y2) = extent.X, extent.Y return x1 ≤ GI.x(p) ≤ x2 && y1 ≤ GI.y(p) ≤ y2 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/tutorials/creating_geometry.html b/dev/tutorials/creating_geometry.html index cdf767609..405673668 100644 --- a/dev/tutorials/creating_geometry.html +++ b/dev/tutorials/creating_geometry.html @@ -8,17 +8,17 @@ - + - - - + + + -
GeometryOps.jl

Appearance

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
+    
GeometryOps.jl
Appearance
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
@@ -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/y0Tfj/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].
Plot geometries on a map using GeoMakie and coordinate reference system (CRS) ​
In geospatial sciences we often have data in one Coordinate Reference System (CRS) (source) and would like to display it in different (destination) CRS. GeoMakie allows us to do this by automatically projecting from source to destination CRS.
Here, our source CRS is common geographic (i.e. coordinates of latitude and longitude), WGS84.
julia
source_crs1 = GFT.EPSG(4326)
GeoFormatTypes.EPSG{1}((4326,))
Now let's pick a destination CRS for displaying our map. Here we'll pick natearth2.
julia
destination_crs = "+proj=natearth2"
"+proj=natearth2"
Let's add land area for context. First, download and open the Natural Earth global land polygons at 110 m resolution.GeoMakie ships with this particular dataset, so we will access it from there.
julia
land_path = GeoMakie.assetpath("ne_110m_land.geojson")
"/home/runner/.julia/packages/GeoMakie/Tu92I/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
Create geospatial geometries with embedded coordinate reference system information
Great, we can make geometries and plot them on a map... now let's export the data to common geospatial data formats. To do this we now need to create geometries with embedded CRS information, making it a geospatial geometry. All that's needed is to include ; crs = crs as a keyword argument when constructing the geometry.
Let's do this for a new Polygon
julia
r = 3;
 k = 7;
 ϴ = 0:0.01:2pi;
 x = r .* (k + 1) .* cos.(ϴ) .- r .* cos.((k + 1) .* ϴ);
@@ -107,7 +107,7 @@
 GeoParquet.write(fn, df, (:geometry,))
"shapes.parquet"
Finally, if there's no Julia-native package that can write data to your desired format (e.g. .gpkg, .gml, etc), you can use GeoDataFrames. This package uses the GDAL library under the hood which supports writing to nearly all geospatial formats.
julia
import GeoDataFrames
 fn = "shapes.gpkg"
 GeoDataFrames.write(fn, df)
"shapes.gpkg"
And there we go, you can now create mapped geometries from scratch, manipulate them, plot them on a map, and save them in multiple geospatial data formats.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/dev/tutorials/spatial_joins.html b/dev/tutorials/spatial_joins.html
index 2031ad97a..94e42953a 100644
--- a/dev/tutorials/spatial_joins.html
+++ b/dev/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