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-19,7 +19,7 @@
- + \ No newline at end of file diff --git a/previews/PR259/api.html b/previews/PR259/api.html index 2ad88c159..1ec2d5ff9 100644 --- a/previews/PR259/api.html +++ b/previews/PR259/api.html @@ -9,11 +9,11 @@ - + - + - + @@ -21,16 +21,16 @@ -
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 ​

GeometryOpsCore.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 ​
GeometryOpsCore.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)])])
 
 flipped_geom = GO.apply(GI.PointTrait, geom) do p
     (GI.y(p), GI.x(p))
-end
source
GeometryOpsCore.applyreduce Function
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)
Apply function f to all objects with the target trait, and reduce the result with an op like +.
The order and grouping of application of op is not guaranteed.
If threaded==true threads will be used over arrays and iterables, feature collections and nested geometries.
source
GeometryOps.reproject Function
julia
reproject(geometry; source_crs, target_crs, transform, always_xy, time)
+end
source
GeometryOpsCore.applyreduce Function
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)
Apply function f to all objects with the target trait, and reduce the result with an op like +.
The order and grouping of application of op is not guaranteed.
If threaded==true threads will be used over arrays and iterables, feature collections and nested geometries.
source
GeometryOps.reproject Function
julia
reproject(geometry; source_crs, target_crs, transform, always_xy, time)
 reproject(geometry, source_crs, target_crs; always_xy, time)
-reproject(geometry, transform; always_xy, time)
Reproject any GeoInterface.jl compatible geometry from source_crs to target_crs.
The returned object will be constructed from GeoInterface.WrapperGeometry geometries, wrapping views of a Vector{Proj.Point{D}}, where D is the dimension.
Tip
The Proj.jl package must be loaded for this method to work, since it is implemented in a package extension.
Arguments
  • geometry: Any GeoInterface.jl compatible geometries.
  • source_crs: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.
  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.
If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).
Keywords
  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.
  • time: the time for the coordinates. Inf by default.
  • 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.
source
GeometryOps.transform Function
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
+reproject(geometry, transform; always_xy, time)
Reproject any GeoInterface.jl compatible geometry from source_crs to target_crs.
The returned object will be constructed from GeoInterface.WrapperGeometry geometries, wrapping views of a Vector{Proj.Point{D}}, where D is the dimension.
Tip
The Proj.jl package must be loaded for this method to work, since it is implemented in a package extension.
Arguments
  • geometry: Any GeoInterface.jl compatible geometries.
  • source_crs: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.
  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.
If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).
Keywords
  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.
  • time: the time for the coordinates. Inf by default.
  • 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.
source
GeometryOps.transform Function
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
 
 julia> import GeometryOps as GO
 
@@ -49,147 +49,147 @@
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
General geometry methods ​
OGC methods ​
GeometryOps.contains Function
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
General geometry methods ​
OGC methods ​
GeometryOps.contains Function
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true
source
GeometryOps.coveredby Function
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
GeometryOps.coveredby Function
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true
source
GeometryOps.covers Function
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
GeometryOps.covers Function
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true
source
GeometryOps.crosses Function
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example
source
GeometryOps.disjoint Function
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
GeometryOps.crosses Function
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example
source
GeometryOps.disjoint Function
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true
source
GeometryOps.intersects Function
julia
intersects(geom1, geom2)::Bool
Return true if the interiors or boundaries of the two geometries interact.
intersects returns the exact opposite result of disjoint.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+true
source
GeometryOps.intersects Function
julia
intersects(geom1, geom2)::Bool
Return true if the interiors or boundaries of the two geometries interact.
intersects returns the exact opposite result of disjoint.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
 GO.intersects(line1, line2)
 
 # output
-true
source
GeometryOps.overlaps Function
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
GeometryOps.overlaps Function
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
 GO.overlaps(poly1, poly2)
 # output
-true
source
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source
julia
overlaps(
+true
source
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source
julia
overlaps(
     ::GI.MultiPointTrait, points1,
     ::GI.MultiPointTrait, points2,
-)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source
julia
overlaps(
+)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source
julia
overlaps(
     ::Union{GI.LineStringTrait, GI.LinearRing}, line1,
     ::Union{GI.LineStringTrait, GI.LinearRing}, line2,
-)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source
julia
overlaps(
+)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source
julia
overlaps(
     trait_a::GI.PolygonTrait, poly_a,
     trait_b::GI.PolygonTrait, poly_b,
-)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source
julia
overlaps(
+)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source
julia
overlaps(
     ::GI.PolygonTrait, poly1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.PolygonTrait, poly2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
GeometryOps.touches Function
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
GeometryOps.touches Function
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true
source
GeometryOps.within Function
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
GeometryOps.within Function
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true
source
Other general methods ​
GeometryOps.equals Function
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
Other general methods ​
GeometryOps.equals Function
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
 GO.equals(poly1, poly2)
 # output
-true
source
julia
equals(::T, geom_a, ::T, geom_b)::Bool
Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.
source
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source
julia
equals(
+true
source
julia
equals(::T, geom_a, ::T, geom_b)::Bool
Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.
source
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.
source
julia
equals(
+)::Bool
Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.
source
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
julia
equals(
+)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
julia
equals(
+)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
GeometryOps.centroid Function
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
GeometryOps.distance Function
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.signed_distance Function
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.area Function
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
+)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
GeometryOps.centroid Function
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
GeometryOps.distance Function
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.signed_distance Function
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.area Function
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.signed_area Function
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
+    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.signed_area Function
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
 - The signed area of a curve is always zero.
 - The signed area of a polygon is computed with the shoelace formula and is
 positive if the polygon coordinates wind clockwise and negative if
 counterclockwise.
 - You cannot compute the signed area of a multipolygon as it doesn't have a
-meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.angles Function
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
+meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.angles Function
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source
GeometryOps.embed_extent Function
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
Barycentric coordinates ​
GeometryOps.barycentric_coordinates Function
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
GeometryOps.barycentric_coordinates! Function
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
GeometryOps.barycentric_interpolate Function
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
Other methods ​
GeometryOps.GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS Constant
The number of vertices past which we should use a STRtree for edge intersection checking.
source
GeometryOps.AbstractBarycentricCoordinateMethod Type
julia
abstract type AbstractBarycentricCoordinateMethod
Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.
API
The following methods must be implemented for all subtypes:
  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V
The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.
source
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.DouglasPeucker Type
julia
DouglasPeucker <: SimplifyAlg
+    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source
GeometryOps.embed_extent Function
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
Barycentric coordinates ​
GeometryOps.barycentric_coordinates Function
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
GeometryOps.barycentric_coordinates! Function
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
GeometryOps.barycentric_interpolate Function
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
Other methods ​
GeometryOps.GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS Constant
The number of vertices past which we should use a STRtree for edge intersection checking.
source
GeometryOps.AbstractBarycentricCoordinateMethod Type
julia
abstract type AbstractBarycentricCoordinateMethod
Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.
API
The following methods must be implemented for all subtypes:
  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V
The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.
source
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.DouglasPeucker Type
julia
DouglasPeucker <: SimplifyAlg
 
-DouglasPeucker(; number, ratio, tol)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance a point will be from the line joining its neighboring points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source
GeometryOps.GEOS Type
julia
GEOS(; params...)
A struct which instructs the method it's passed to as an algorithm to use the appropriate GEOS function via LibGEOS.jl for the operation.
Dispatch is generally carried out using the names of the keyword arguments. For example, segmentize will only accept a GEOS struct with only a max_distance keyword, and no other.
It's generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!
source
GeometryOps.GeodesicSegments Type
julia
GeodesicSegments(; max_distance::Real, equatorial_radius::Real=6378137, flattening::Real=1/298.257223563)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.
Warning
Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.
Arguments
  • max_distance::Real: The maximum distance, in meters, between vertices in the geometry.
  • equatorial_radius::Real=6378137: The equatorial radius of the Earth, in meters. Passed to Proj.geod_geodesic.
  • flattening::Real=1/298.257223563: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to Proj.geod_geodesic.
One can also omit the equatorial_radius and flattening keyword arguments, and pass a geodesic object directly to the eponymous keyword.
This method uses the Proj/GeographicLib API for geodesic calculations.
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.LineOrientation Type
julia
Enum LineOrientation
Enum for the orientation of a line with respect to a curve. A line can be line_cross (crossing over the curve), line_hinge (crossing the endpoint of the curve), line_over (collinear with the curve), or line_out (not interacting with the curve).
source
GeometryOps.LinearSegments Type
julia
LinearSegments(; max_distance::Real)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.
Here, max_distance is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the max_distance will be in degrees of arc. If the polygon is provided in meters, then the max_distance will be in meters.
source
GeometryOps.MeanValue Type
julia
MeanValue() <: AbstractBarycentricCoordinateMethod
This method calculates barycentric coordinates using the mean value method.
References
source
GeometryOps.MonotoneChainMethod Type
julia
MonotoneChainMethod()
This is an algorithm for the convex_hull function.
Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.
See also convex_hull
source
GeometryOps.PointOrientation Type
julia
Enum PointOrientation
Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.
source
GeometryOps.RadialDistance Type
julia
RadialDistance <: SimplifyAlg
Simplifies geometries by removing points less than tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance between points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source
GeometryOps.SimplifyAlg Type
julia
abstract type SimplifyAlg
Abstract type for simplification algorithms.
API
For now, the algorithm must hold the number, ratio and tol properties.
Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.
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
GeometryOps.VisvalingamWhyatt Type
julia
VisvalingamWhyatt <: SimplifyAlg
+DouglasPeucker(; number, ratio, tol)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance a point will be from the line joining its neighboring points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source
GeometryOps.FosterHormannClipping Type
julia
FosterHormannClipping{M <: Manifold, A <: Union{Nothing, Accelerator}} <: GeometryOpsCore.Algorithm{M}
A type that represents the Foster-Hormann clipping algorithm.
Arguments
  • manifold::M: The manifold on which the algorithm operates.
  • accelerator::A: The accelerator to use for the algorithm. Can be nothing for automatic choice, or a custom accelerator.
source
GeometryOps.GEOS Type
julia
GEOS(; params...)
A struct which instructs the method it's passed to as an algorithm to use the appropriate GEOS function via LibGEOS.jl for the operation.
Dispatch is generally carried out using the names of the keyword arguments. For example, segmentize will only accept a GEOS struct with only a max_distance keyword, and no other.
It's generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!
source
GeometryOps.GeodesicSegments Type
julia
GeodesicSegments(; max_distance::Real, equatorial_radius::Real=6378137, flattening::Real=1/298.257223563)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.
Warning
Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.
Arguments
  • max_distance::Real: The maximum distance, in meters, between vertices in the geometry.
  • equatorial_radius::Real=6378137: The equatorial radius of the Earth, in meters. Passed to Proj.geod_geodesic.
  • flattening::Real=1/298.257223563: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to Proj.geod_geodesic.
One can also omit the equatorial_radius and flattening keyword arguments, and pass a geodesic object directly to the eponymous keyword.
This method uses the Proj/GeographicLib API for geodesic calculations.
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.IntersectionAccelerator Type
julia
abstract type IntersectionAccelerator
The abstract supertype for all intersection accelerator types.
The idea is that these speed up the edge-edge intersection checking process, perhaps at the cost of memory.
The naive case is NestedLoop, which is just a nested loop, running in O(n*m) time.
Then we have SingleSTRtree, which is a single STRtree, running in O(n*log(m)) time.
Then we have DoubleSTRtree, which is am simultaneous double-tree traversal of two STRtrees.
Finally, we have AutoAccelerator, which is an automatic accelerator that chooses the best accelerator based on the size of the input polygons. This gets materialized in build_a_list for now.
source
GeometryOps.LineOrientation Type
julia
Enum LineOrientation
Enum for the orientation of a line with respect to a curve. A line can be line_cross (crossing over the curve), line_hinge (crossing the endpoint of the curve), line_over (collinear with the curve), or line_out (not interacting with the curve).
source
GeometryOps.LinearSegments Type
julia
LinearSegments(; max_distance::Real)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.
Here, max_distance is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the max_distance will be in degrees of arc. If the polygon is provided in meters, then the max_distance will be in meters.
source
GeometryOps.MeanValue Type
julia
MeanValue() <: AbstractBarycentricCoordinateMethod
This method calculates barycentric coordinates using the mean value method.
References
source
GeometryOps.MonotoneChainMethod Type
julia
MonotoneChainMethod()
This is an algorithm for the convex_hull function.
Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.
See also convex_hull
source
GeometryOps.PointOrientation Type
julia
Enum PointOrientation
Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.
source
GeometryOps.RadialDistance Type
julia
RadialDistance <: SimplifyAlg
Simplifies geometries by removing points less than tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance between points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source
GeometryOps.SimplifyAlg Type
julia
abstract type SimplifyAlg
Abstract type for simplification algorithms.
API
For now, the algorithm must hold the number, ratio and tol properties.
Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.
source
GeometryOps.TracingHitEveryPointError Type
julia
TracingHitEveryPointError{T1, T2} <: Exception
An error that is thrown when the clipping tracing algorithm hits every point in a polygon. This is a bug in the algorithm, and should be reported.
The polygons are contained in the exception object, accessible by try-catch or as err in the REPL.
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
GeometryOps.VisvalingamWhyatt Type
julia
VisvalingamWhyatt <: SimplifyAlg
 
-VisvalingamWhyatt(; kw...)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum area of a triangle made with a point and its neighboring points.
Note: user input tol is doubled to avoid unnecessary computation in algorithm.
source
GeometryOps._det Method
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}
Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.
Specifically, this is:
julia
s1[1] * s2[2] - s1[2] * s2[1]
source
GeometryOps._equals_curves Method
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool
Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)
source
GeometryOps.angles Method
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
+VisvalingamWhyatt(; kw...)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum area of a triangle made with a point and its neighboring points.
Note: user input tol is doubled to avoid unnecessary computation in algorithm.
source
GeometryOps._det Method
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}
Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.
Specifically, this is:
julia
s1[1] * s2[2] - s1[2] * s2[1]
source
GeometryOps._equals_curves Method
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool
Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)
source
GeometryOps.angles Method
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source
GeometryOps.area Method
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
+    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source
GeometryOps.area Method
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.barycentric_coordinates! Method
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
GeometryOps.barycentric_coordinates Method
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
GeometryOps.barycentric_interpolate Method
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
GeometryOps.centroid Method
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
GeometryOps.centroid_and_area Method
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and area of a given geometry.
source
GeometryOps.centroid_and_length Method
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.
source
GeometryOps.contains Method
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.barycentric_coordinates! Method
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
GeometryOps.barycentric_coordinates Method
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
GeometryOps.barycentric_interpolate Method
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
GeometryOps.centroid Method
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
GeometryOps.centroid_and_area Method
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and area of a given geometry.
source
GeometryOps.centroid_and_length Method
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.
source
GeometryOps.contains Method
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true
source
GeometryOps.convex_hull Function
julia
convex_hull([method], geometries)
Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.
Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.
Warning
This interface only computes the 2-dimensional convex hull!
For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).
source
GeometryOps.coverage Method
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T
Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:
  • The signed area of a point is always zero.
  • The signed area of a curve is always zero.
  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.
  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.coveredby Method
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
GeometryOps.convex_hull Function
julia
convex_hull([method], geometries)
Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.
Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.
Warning
This interface only computes the 2-dimensional convex hull!
For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).
source
GeometryOps.coverage Method
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T
Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:
  • The signed area of a point is always zero.
  • The signed area of a curve is always zero.
  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.
  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.coveredby Method
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true
source
GeometryOps.covers Method
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
GeometryOps.covers Method
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true
source
GeometryOps.crosses Method
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example
source
GeometryOps.cut Method
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 geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.
Note: This currently doesn't work for degenerate cases there line crosses through vertices.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+true
source
GeometryOps.crosses Method
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example
source
GeometryOps.cut Method
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 geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.
Note: This currently doesn't work for degenerate cases there line crosses through vertices.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0.0, 0.0), (10.0, 0.0), (10.0, 10.0), (0.0, 10.0), (0.0, 0.0)]])
 line = GI.Line([(5.0, -5.0), (5.0, 15.0)])
@@ -199,7 +199,7 @@
 # output
 2-element Vector{Vector{Vector{Vector{Float64}}}}:
  [[[0.0, 0.0], [5.0, 0.0], [5.0, 10.0], [0.0, 10.0], [0.0, 0.0]]]
- [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]
source
GeometryOps.difference Method
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+ [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]
source
GeometryOps.difference Method
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 poly1 = GI.Polygon([[[0.0, 0.0], [5.0, 5.0], [10.0, 0.0], [5.0, -5.0], [0.0, 0.0]]])
 poly2 = GI.Polygon([[[3.0, 0.0], [8.0, 5.0], [13.0, 0.0], [8.0, -5.0], [3.0, 0.0]]])
@@ -208,32 +208,32 @@
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]
source
GeometryOps.disjoint Method
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]
source
GeometryOps.disjoint Method
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true
source
GeometryOps.distance Method
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.eachedge Method
julia
eachedge(geom, [::Type{T}])
Decompose a geometry into a list of edges. Currently only works for LineString and LinearRing.
Returns some iterator, which yields tuples of points. Each tuple is an edge.
It goes (p1, p2), (p2, p3), (p3, p4), ... etc.
source
GeometryOps.embed_extent Method
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
GeometryOps.enforce Method
julia
enforce(alg::GO.GEOS, kw::Symbol, f)
Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].
Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).
source
GeometryOps.equals Method
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source
GeometryOps.equals Method
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
GeometryOps.distance Method
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.eachedge Method
julia
eachedge(geom, [::Type{T}])
Decompose a geometry into a list of edges. Currently only works for LineString and LinearRing.
Returns some iterator, which yields tuples of points. Each tuple is an edge.
It goes (p1, p2), (p2, p3), (p3, p4), ... etc.
source
GeometryOps.embed_extent Method
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
GeometryOps.enforce Method
julia
enforce(alg::GO.GEOS, kw::Symbol, f)
Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].
Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).
source
GeometryOps.equals Method
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source
GeometryOps.equals Method
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
 GO.equals(poly1, poly2)
 # output
-true
source
GeometryOps.equals Method
julia
equals(
+true
source
GeometryOps.equals Method
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
GeometryOps.equals Method
julia
equals(
+)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
GeometryOps.equals Method
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
GeometryOps.equals Method
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source
GeometryOps.equals Method
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
GeometryOps.equals Method
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
GeometryOps.equals Method
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
GeometryOps.equals Method
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
GeometryOps.equals Method
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source
GeometryOps.equals Method
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
GeometryOps.equals Method
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
GeometryOps.equals Method
julia
equals(
+)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
GeometryOps.equals Method
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source
GeometryOps.equals Method
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
GeometryOps.equals Method
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
GeometryOps.equals Method
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
GeometryOps.equals Method
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
GeometryOps.equals Method
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source
GeometryOps.equals Method
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
GeometryOps.equals Method
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
GeometryOps.equals Method
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
GeometryOps.equals Method
julia
equals(
+)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
GeometryOps.equals Method
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.
source
GeometryOps.equals Method
julia
equals(::T, geom_a, ::T, geom_b)::Bool
Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.
source
GeometryOps.flip Method
julia
flip(obj)
Swap all of the x and y coordinates in obj, otherwise keeping the original structure (but not necessarily the original type).
Keywords
  • 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.
source
GeometryOps.forcexy Method
julia
forcexy(geom)
Force the geometry to be 2D. Works on any geometry, vector of geometries, feature collection, or table!
source
GeometryOps.forcexyz Function
julia
forcexyz(geom, z = 0)
Force the geometry to be 3D. Works on any geometry, vector of geometries, feature collection, or table!
The z parameter is the default z value - if a point has no z value, it will be set to this value. If it does, then the z value will be kept.
source
GeometryOps.intersection Method
julia
intersection(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the intersection between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a target type as a keyword argument and a list of target geometries found in the intersection will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to nothing if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+)::Bool
Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.
source
GeometryOps.equals Method
julia
equals(::T, geom_a, ::T, geom_b)::Bool
Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.
source
GeometryOps.flip Method
julia
flip(obj)
Swap all of the x and y coordinates in obj, otherwise keeping the original structure (but not necessarily the original type).
Keywords
  • 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.
source
GeometryOps.forcexy Method
julia
forcexy(geom)
Force the geometry to be 2D. Works on any geometry, vector of geometries, feature collection, or table!
source
GeometryOps.forcexyz Function
julia
forcexyz(geom, z = 0)
Force the geometry to be 3D. Works on any geometry, vector of geometries, feature collection, or table!
The z parameter is the default z value - if a point has no z value, it will be set to this value. If it does, then the z value will be kept.
source
GeometryOps.intersection Method
julia
intersection(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the intersection between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a target type as a keyword argument and a list of target geometries found in the intersection will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to nothing if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
@@ -242,7 +242,7 @@
 
 # output
 1-element Vector{Vector{Float64}}:
- [125.58375366067548, -14.83572303404496]
source
GeometryOps.intersection_points Method
julia
intersection_points(geom_a, geom_b, [T::Type])
Return a list of intersection tuple points between two geometries. If no intersection points exist, returns an empty list.
Example
jldoctest

+ [125.58375366067548, -14.83572303404496]
source
GeometryOps.intersection_points Method
julia
intersection_points(geom_a, geom_b, [T::Type])
Return a list of intersection tuple points between two geometries. If no intersection points exist, returns an empty list.
Example
jldoctest

 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)]) line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)]) inter_points = GO.intersection_points(line1, line2)
 
 **output**
@@ -250,7 +250,7 @@
 1-element Vector{Tuple{Float64, Float64}}:  (125.58375366067548, -14.83572303404496)
 
 
-[source](https://github.com/JuliaGeo/GeometryOps.jl/blob/81f70fd20ba2e9992e2c192c14b6558784249217/src/methods/clipping/intersection.jl#L177-L195)
+[source](https://github.com/JuliaGeo/GeometryOps.jl/blob/ad7303e2994d2cf37eed678d2200c9419134cb62/src/methods/clipping/intersection.jl#L190-L208)
 
 </details>
 
@@ -267,57 +267,57 @@
 GO.intersects(line1, line2)
 
 # output
-true
source
GeometryOps.isclockwise Method
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 counter-clockwise. "Going clockwise" means, mathematically,
(∑i=2n(xi−xi−1)⋅(yi+yi−1))>0
Example
julia
julia> import GeoInterface as GI, GeometryOps as GO
+true
source
GeometryOps.isclockwise Method
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 counter-clockwise. "Going clockwise" means, mathematically,
(∑i=2n(xi−xi−1)⋅(yi+yi−1))>0
Example
julia
julia> import GeoInterface as GI, GeometryOps as GO
 julia> ring = GI.LinearRing([(0, 0), (1, 1), (1, 0), (0, 0)]);
 julia> GO.isclockwise(ring)
 # output
-true
source
GeometryOps.isconcave Method
julia
isconcave(poly::Polygon)::Bool
Take a polygon and return true or false as to whether it is concave or not.
Examples
julia
import GeoInterface as GI, GeometryOps as GO
+true
source
GeometryOps.isconcave Method
julia
isconcave(poly::Polygon)::Bool
Take a polygon and return true or false as to whether it is concave or not.
Examples
julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0, 0), (0, 1), (1, 1), (1, 0), (0, 0)]])
 GO.isconcave(poly)
 
 # output
-false
source
GeometryOps.overlaps Method
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+false
source
GeometryOps.overlaps Method
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
 GO.overlaps(poly1, poly2)
 # output
-true
source
GeometryOps.overlaps Method
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source
GeometryOps.overlaps Method
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
+true
source
GeometryOps.overlaps Method
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source
GeometryOps.overlaps Method
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
     ::GI.MultiPointTrait, points1,
     ::GI.MultiPointTrait, points2,
-)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source
GeometryOps.overlaps Method
julia
overlaps(
+)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source
GeometryOps.overlaps Method
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
+)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.PolygonTrait, poly2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
     ::GI.PolygonTrait, poly1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
     trait_a::GI.PolygonTrait, poly_a,
     trait_b::GI.PolygonTrait, poly_b,
-)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
+)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source
GeometryOps.overlaps Method
julia
overlaps(
     ::Union{GI.LineStringTrait, GI.LinearRing}, line1,
     ::Union{GI.LineStringTrait, GI.LinearRing}, line2,
-)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source
GeometryOps.polygon_to_line Method
julia
polygon_to_line(poly::Polygon)
Converts a Polygon to LineString or MultiLineString
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source
GeometryOps.polygon_to_line Method
julia
polygon_to_line(poly::Polygon)
Converts a Polygon to LineString or MultiLineString
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 poly = GI.Polygon([[(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)]])
 GO.polygon_to_line(poly)
 # output
-GeoInterface.Wrappers.LineString{false, false}([(-2.275543, 53.464547), … (3) … , (-2.275543, 53.464547)])
source
GeometryOps.polygonize Method
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
+GeoInterface.Wrappers.LineString{false, false}([(-2.275543, 53.464547), … (3) … , (-2.275543, 53.464547)])
source
GeometryOps.polygonize Method
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
 polygonize(f, A::AbstractMatrix; kw...)
 polygonize(xs, ys, A::AbstractMatrix{Bool}; kw...)
 polygonize(f, xs, ys, A::AbstractMatrix; kw...)
Polygonize an AbstractMatrix of values, currently to a single class of polygons.
Returns a MultiPolygon for Bool values and f return values, and a FeatureCollection of Features holding MultiPolygon for all other values.
Function f should return either true or false or a transformation of values into simpler groups, especially useful for floating point arrays.
If xs and ys are ranges, they are used as the pixel/cell center points. If they are Vector of Tuple they are used as the lower and upper bounds of each pixel/cell.
Keywords
  • minpoints: ignore polygons with less than minpoints points.
  • values: the values to turn into polygons. By default these are union(A), If function f is passed these refer to the return values of f, by default union(map(f, A). If values Bool, false is ignored and a single MultiPolygon is returned rather than a FeatureCollection.
Example
julia
using GeometryOps
 A = rand(100, 100)
-multipolygon = polygonize(>(0.5), A);
source
GeometryOps.segmentize Method
julia
segmentize([method = Planar()], geom; max_distance::Real, threaded)
Segmentize 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.
Arguments
  • method::Manifold = Planar(): The method to use for segmentizing the geometry. At the moment, only Planar (assumes a flat plane) and Geodesic (assumes geometry on the ellipsoidal Earth and uses Vincenty's formulae) are available.
  • geom: The geometry to segmentize. Must be a LineString, LinearRing, Polygon, MultiPolygon, or GeometryCollection, or some vector or table of those.
  • max_distance::Real: The maximum distance between vertices in the geometry. Beware: for Planar, this is in the units of the geometry, but for Geodesic and Spherical it's in units of the radius of the sphere.
Returns a geometry of similar type to the input geometry, but resampled.
source
GeometryOps.signed_area Method
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
+multipolygon = polygonize(>(0.5), A);
source
GeometryOps.segmentize Method
julia
segmentize([method = Planar()], geom; max_distance::Real, threaded)
Segmentize 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.
Arguments
  • method::Manifold = Planar(): The method to use for segmentizing the geometry. At the moment, only Planar (assumes a flat plane) and Geodesic (assumes geometry on the ellipsoidal Earth and uses Vincenty's formulae) are available.
  • geom: The geometry to segmentize. Must be a LineString, LinearRing, Polygon, MultiPolygon, or GeometryCollection, or some vector or table of those.
  • max_distance::Real: The maximum distance between vertices in the geometry. Beware: for Planar, this is in the units of the geometry, but for Geodesic and Spherical it's in units of the radius of the sphere.
Returns a geometry of similar type to the input geometry, but resampled.
source
GeometryOps.signed_area Method
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
 - The signed area of a curve is always zero.
 - The signed area of a polygon is computed with the shoelace formula and is
 positive if the polygon coordinates wind clockwise and negative if
 counterclockwise.
 - You cannot compute the signed area of a multipolygon as it doesn't have a
-meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.signed_distance Method
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.simplify Method
julia
simplify(obj; kw...)
+meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.signed_distance Method
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
GeometryOps.simplify Method
julia
simplify(obj; kw...)
 simplify(::SimplifyAlg, obj; kw...)
Simplify a geometry, feature, feature collection, or nested vectors or a table of these.
RadialDistance, DouglasPeucker, or VisvalingamWhyatt algorithms are available, listed in order of increasing quality but decreasing performance.
PoinTrait and MultiPointTrait are returned unchanged.
The default behaviour is simplify(DouglasPeucker(; kw...), obj). Pass in other SimplifyAlg to use other algorithms.
Keywords
  • prefilter_alg: SimplifyAlg algorithm used to pre-filter object before using primary filtering algorithm.
  • 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.
Keywords for DouglasPeucker are allowed when no algorithm is specified:
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance a point will be from the line joining its neighboring points.
Example
Simplify a polygon to have six points:
julia
import GeoInterface as GI
 import GeometryOps as GO
 
@@ -347,9 +347,9 @@
 GI.npoint(simple)
 
 # output
-6
source
GeometryOps.t_value Method
julia
t_value(sᵢ, sᵢ₊₁, rᵢ, rᵢ₊₁)
Returns the "T-value" as described in Hormann's presentation [1] on how to calculate the mean-value coordinate.
Here, sᵢ is the vector from vertex vᵢ to the point, and rᵢ is the norm (length) of sᵢ. s must be Point and r must be real numbers.
tᵢ=det(sᵢ,sᵢ₊₁)rᵢ∗rᵢ₊₁+sᵢ⋅sᵢ₊₁

+6
source
GeometryOps.t_value Method
julia
t_value(sᵢ, sᵢ₊₁, rᵢ, rᵢ₊₁)
Returns the "T-value" as described in Hormann's presentation [1] on how to calculate the mean-value coordinate.
Here, sᵢ is the vector from vertex vᵢ to the point, and rᵢ is the norm (length) of sᵢ. s must be Point and r must be real numbers.
tᵢ=det(sᵢ,sᵢ₊₁)rᵢ∗rᵢ₊₁+sᵢ⋅sᵢ₊₁

 
-[source](https://github.com/JuliaGeo/GeometryOps.jl/blob/81f70fd20ba2e9992e2c192c14b6558784249217/src/methods/barycentric.jl#L289-L305)
+[source](https://github.com/JuliaGeo/GeometryOps.jl/blob/ad7303e2994d2cf37eed678d2200c9419134cb62/src/methods/barycentric.jl#L289-L305)
 
 </details>
 
@@ -359,14 +359,14 @@
 
 
 ```julia
-to_edgelist(geom, [::Type{T}])
Convert a geometry into a vector of GI.Line objects with attached extents.
source
GeometryOps.to_edges Method
julia
to_edges()
Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.
source
GeometryOps.touches Method
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+to_edgelist(geom, [::Type{T}])
Convert a geometry into a vector of GI.Line objects with attached extents.
source
GeometryOps.to_edges Method
julia
to_edges()
Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.
source
GeometryOps.touches Method
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true
source
GeometryOps.transform Method
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
+true
source
GeometryOps.transform Method
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
 
 julia> import GeometryOps as GO
 
@@ -385,7 +385,7 @@
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
GeometryOps.tuples Method
julia
tuples(obj)
Convert all points in obj to Tuples, wherever the are nested.
Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.
Keywords
  • 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.
source
GeometryOps.union Method
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Calculates the union between two polygons.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
GeometryOps.tuples Method
julia
tuples(obj)
Convert all points in obj to Tuples, wherever the are nested.
Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.
Keywords
  • 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.
source
GeometryOps.union Method
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Calculates the union between two polygons.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 p1 = GI.Polygon([[(0.0, 0.0), (5.0, 5.0), (10.0, 0.0), (5.0, -5.0), (0.0, 0.0)]])
 p2 = GI.Polygon([[(3.0, 0.0), (8.0, 5.0), (13.0, 0.0), (8.0, -5.0), (3.0, 0.0)]])
@@ -394,15 +394,15 @@
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]
source
GeometryOps.weighted_mean Method
julia
weighted_mean(weight::Real, x1, x2)
Returns the weighted mean of x1 and x2, where weight is the weight of x1.
Specifically, calculates x1 * weight + x2 * (1 - weight).
Note
The idea for this method is that you can override this for custom types, like Color types, in extension modules.
source
GeometryOps.within Method
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]
source
GeometryOps.weighted_mean Method
julia
weighted_mean(weight::Real, x1, x2)
Returns the weighted mean of x1 and x2, where weight is the weight of x1.
Specifically, calculates x1 * weight + x2 * (1 - weight).
Note
The idea for this method is that you can override this for custom types, like Color types, in extension modules.
source
GeometryOps.within Method
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true
source
  1. K. Hormann and N. Sukumar. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor & Fancis, CRC Press, 2017. ↩︎

-    
+true

source

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

+ \ No newline at end of file diff --git a/previews/PR259/assets/xllhyfu.Dig-DWOQ.png b/previews/PR259/assets/ajrqdho.Dig-DWOQ.png similarity index 100% rename from previews/PR259/assets/xllhyfu.Dig-DWOQ.png rename to previews/PR259/assets/ajrqdho.Dig-DWOQ.png diff --git a/previews/PR259/assets/mdypbur.Dab1-ETk.png b/previews/PR259/assets/akxuysk.Dab1-ETk.png similarity index 100% rename from previews/PR259/assets/mdypbur.Dab1-ETk.png rename to previews/PR259/assets/akxuysk.Dab1-ETk.png diff --git a/previews/PR259/assets/api.md.BjOA8ThU.js b/previews/PR259/assets/api.md.2CTl0mwp.js similarity index 80% rename from previews/PR259/assets/api.md.BjOA8ThU.js rename to previews/PR259/assets/api.md.2CTl0mwp.js index 6c6cc4bde..40070d761 100644 --- a/previews/PR259/assets/api.md.BjOA8ThU.js +++ b/previews/PR259/assets/api.md.2CTl0mwp.js @@ -1,13 +1,13 @@ -import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/framework.mcBEtuSi.js";const fi=JSON.parse('{"title":"Full 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custom-block",open:""};function ci(ui,s,mi,Fi,Ci,Ti){const t=k("Badge");return p(),l("div",null,[s[334]||(s[334]=a('

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 ​

',5)),i("details",o,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOpsCore.apply",href:"#GeometryOpsCore.apply"},[i("span",{class:"jlbinding"},"GeometryOpsCore.apply")],-1)),s[1]||(s[1]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=a(`
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.

Example

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

julia
import GeoInterface as GI
+import{_ as h,C as r,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/framework.mcBEtuSi.js";const _i=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),o={name:"api.md"},k={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},E={class:"jldocstring custom-block",open:""},c={class:"jldocstring custom-block",open:""},u={class:"jldocstring custom-block",open:""},m={class:"jldocstring custom-block",open:""},F={class:"jldocstring custom-block",open:""},C={class:"jldocstring custom-block",open:""},T={class:"jldocstring custom-block",open:""},b={class:"jldocstring custom-block",open:""},f={class:"jldocstring custom-block",open:""},A={class:"jldocstring custom-block",open:""},G={class:"jldocstring custom-block",open:""},_={class:"jldocstring 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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 ​
',5)),i("details",k,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOpsCore.apply",href:"#GeometryOpsCore.apply"},[i("span",{class:"jlbinding"},"GeometryOpsCore.apply")],-1)),s[1]||(s[1]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=a(`
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)])])
 
 flipped_geom = GO.apply(GI.PointTrait, geom) do p
     (GI.y(p), GI.x(p))
-end
source
`,10))]),i("details",d,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOpsCore.applyreduce",href:"#GeometryOpsCore.applyreduce"},[i("span",{class:"jlbinding"},"GeometryOpsCore.applyreduce")],-1)),s[4]||(s[4]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[5]||(s[5]=a('
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)
Apply function f to all objects with the target trait, and reduce the result with an op like +.
The order and grouping of application of op is not guaranteed.
If threaded==true threads will be used over arrays and iterables, feature collections and nested geometries.
source
',5))]),i("details",g,[i("summary",null,[s[6]||(s[6]=i("a",{id:"GeometryOps.reproject",href:"#GeometryOps.reproject"},[i("span",{class:"jlbinding"},"GeometryOps.reproject")],-1)),s[7]||(s[7]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[8]||(s[8]=a(`
julia
reproject(geometry; source_crs, target_crs, transform, always_xy, time)
+end
source
`,10))]),i("details",d,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOpsCore.applyreduce",href:"#GeometryOpsCore.applyreduce"},[i("span",{class:"jlbinding"},"GeometryOpsCore.applyreduce")],-1)),s[4]||(s[4]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[5]||(s[5]=a('
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)
Apply function f to all objects with the target trait, and reduce the result with an op like +.
The order and grouping of application of op is not guaranteed.
If threaded==true threads will be used over arrays and iterables, feature collections and nested geometries.
source
',5))]),i("details",g,[i("summary",null,[s[6]||(s[6]=i("a",{id:"GeometryOps.reproject",href:"#GeometryOps.reproject"},[i("span",{class:"jlbinding"},"GeometryOps.reproject")],-1)),s[7]||(s[7]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[8]||(s[8]=a(`
julia
reproject(geometry; source_crs, target_crs, transform, always_xy, time)
 reproject(geometry, source_crs, target_crs; always_xy, time)
-reproject(geometry, transform; always_xy, time)
Reproject any GeoInterface.jl compatible geometry from source_crs to target_crs.
The returned object will be constructed from GeoInterface.WrapperGeometry geometries, wrapping views of a Vector{Proj.Point{D}}, where D is the dimension.
Tip
The Proj.jl package must be loaded for this method to work, since it is implemented in a package extension.
Arguments
  • geometry: Any GeoInterface.jl compatible geometries.
  • source_crs: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.
  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.
If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).
Keywords
  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.
  • time: the time for the coordinates. Inf by default.
  • 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.
source
`,10))]),i("details",y,[i("summary",null,[s[9]||(s[9]=i("a",{id:"GeometryOps.transform",href:"#GeometryOps.transform"},[i("span",{class:"jlbinding"},"GeometryOps.transform")],-1)),s[10]||(s[10]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[11]||(s[11]=a(`
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
+reproject(geometry, transform; always_xy, time)
Reproject any GeoInterface.jl compatible geometry from source_crs to target_crs.
The returned object will be constructed from GeoInterface.WrapperGeometry geometries, wrapping views of a Vector{Proj.Point{D}}, where D is the dimension.
Tip
The Proj.jl package must be loaded for this method to work, since it is implemented in a package extension.
Arguments
  • geometry: Any GeoInterface.jl compatible geometries.
  • source_crs: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.
  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.
If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).
Keywords
  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.
  • time: the time for the coordinates. Inf by default.
  • 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.
source
`,10))]),i("details",y,[i("summary",null,[s[9]||(s[9]=i("a",{id:"GeometryOps.transform",href:"#GeometryOps.transform"},[i("span",{class:"jlbinding"},"GeometryOps.transform")],-1)),s[10]||(s[10]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[11]||(s[11]=a(`
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
 
 julia> import GeometryOps as GO
 
@@ -26,147 +26,147 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
`,9))]),s[335]||(s[335]=i("h2",{id:"General-geometry-methods",tabindex:"-1"},[e("General geometry methods "),i("a",{class:"header-anchor",href:"#General-geometry-methods","aria-label":'Permalink to "General geometry methods {#General-geometry-methods}"'},"​")],-1)),s[336]||(s[336]=i("h3",{id:"OGC-methods",tabindex:"-1"},[e("OGC methods "),i("a",{class:"header-anchor",href:"#OGC-methods","aria-label":'Permalink to "OGC methods {#OGC-methods}"'},"​")],-1)),i("details",E,[i("summary",null,[s[12]||(s[12]=i("a",{id:"GeometryOps.contains",href:"#GeometryOps.contains"},[i("span",{class:"jlbinding"},"GeometryOps.contains")],-1)),s[13]||(s[13]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[14]||(s[14]=a(`
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
`,9))]),s[344]||(s[344]=i("h2",{id:"General-geometry-methods",tabindex:"-1"},[e("General geometry methods "),i("a",{class:"header-anchor",href:"#General-geometry-methods","aria-label":'Permalink to "General geometry methods {#General-geometry-methods}"'},"​")],-1)),s[345]||(s[345]=i("h3",{id:"OGC-methods",tabindex:"-1"},[e("OGC methods "),i("a",{class:"header-anchor",href:"#OGC-methods","aria-label":'Permalink to "OGC methods {#OGC-methods}"'},"​")],-1)),i("details",E,[i("summary",null,[s[12]||(s[12]=i("a",{id:"GeometryOps.contains",href:"#GeometryOps.contains"},[i("span",{class:"jlbinding"},"GeometryOps.contains")],-1)),s[13]||(s[13]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[14]||(s[14]=a(`
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true
source
`,6))]),i("details",c,[i("summary",null,[s[15]||(s[15]=i("a",{id:"GeometryOps.coveredby",href:"#GeometryOps.coveredby"},[i("span",{class:"jlbinding"},"GeometryOps.coveredby")],-1)),s[16]||(s[16]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[17]||(s[17]=a(`
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
`,6))]),i("details",c,[i("summary",null,[s[15]||(s[15]=i("a",{id:"GeometryOps.coveredby",href:"#GeometryOps.coveredby"},[i("span",{class:"jlbinding"},"GeometryOps.coveredby")],-1)),s[16]||(s[16]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[17]||(s[17]=a(`
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true
source
`,6))]),i("details",u,[i("summary",null,[s[18]||(s[18]=i("a",{id:"GeometryOps.covers",href:"#GeometryOps.covers"},[i("span",{class:"jlbinding"},"GeometryOps.covers")],-1)),s[19]||(s[19]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[20]||(s[20]=a(`
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
`,6))]),i("details",u,[i("summary",null,[s[18]||(s[18]=i("a",{id:"GeometryOps.covers",href:"#GeometryOps.covers"},[i("span",{class:"jlbinding"},"GeometryOps.covers")],-1)),s[19]||(s[19]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[20]||(s[20]=a(`
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true
source
`,6))]),i("details",m,[i("summary",null,[s[21]||(s[21]=i("a",{id:"GeometryOps.crosses",href:"#GeometryOps.crosses"},[i("span",{class:"jlbinding"},"GeometryOps.crosses")],-1)),s[22]||(s[22]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[23]||(s[23]=a(`
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example
source
`,6))]),i("details",F,[i("summary",null,[s[24]||(s[24]=i("a",{id:"GeometryOps.disjoint",href:"#GeometryOps.disjoint"},[i("span",{class:"jlbinding"},"GeometryOps.disjoint")],-1)),s[25]||(s[25]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[26]||(s[26]=a(`
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
`,6))]),i("details",m,[i("summary",null,[s[21]||(s[21]=i("a",{id:"GeometryOps.crosses",href:"#GeometryOps.crosses"},[i("span",{class:"jlbinding"},"GeometryOps.crosses")],-1)),s[22]||(s[22]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[23]||(s[23]=a(`
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example
source
`,6))]),i("details",F,[i("summary",null,[s[24]||(s[24]=i("a",{id:"GeometryOps.disjoint",href:"#GeometryOps.disjoint"},[i("span",{class:"jlbinding"},"GeometryOps.disjoint")],-1)),s[25]||(s[25]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[26]||(s[26]=a(`
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true
source
`,6))]),i("details",C,[i("summary",null,[s[27]||(s[27]=i("a",{id:"GeometryOps.intersects",href:"#GeometryOps.intersects"},[i("span",{class:"jlbinding"},"GeometryOps.intersects")],-1)),s[28]||(s[28]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[29]||(s[29]=a(`
julia
intersects(geom1, geom2)::Bool
Return true if the interiors or boundaries of the two geometries interact.
intersects returns the exact opposite result of disjoint.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+true
source
`,6))]),i("details",C,[i("summary",null,[s[27]||(s[27]=i("a",{id:"GeometryOps.intersects",href:"#GeometryOps.intersects"},[i("span",{class:"jlbinding"},"GeometryOps.intersects")],-1)),s[28]||(s[28]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[29]||(s[29]=a(`
julia
intersects(geom1, geom2)::Bool
Return true if the interiors or boundaries of the two geometries interact.
intersects returns the exact opposite result of disjoint.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
 GO.intersects(line1, line2)
 
 # output
-true
source
`,6))]),i("details",T,[i("summary",null,[s[30]||(s[30]=i("a",{id:"GeometryOps.overlaps",href:"#GeometryOps.overlaps"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[31]||(s[31]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[32]||(s[32]=a(`
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
`,6))]),i("details",T,[i("summary",null,[s[30]||(s[30]=i("a",{id:"GeometryOps.overlaps",href:"#GeometryOps.overlaps"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[31]||(s[31]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[32]||(s[32]=a(`
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
 GO.overlaps(poly1, poly2)
 # output
-true
source
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source
julia
overlaps(
+true
source
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source
julia
overlaps(
     ::GI.MultiPointTrait, points1,
     ::GI.MultiPointTrait, points2,
-)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source
julia
overlaps(
+)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source
julia
overlaps(
     ::Union{GI.LineStringTrait, GI.LinearRing}, line1,
     ::Union{GI.LineStringTrait, GI.LinearRing}, line2,
-)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source
julia
overlaps(
+)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source
julia
overlaps(
     trait_a::GI.PolygonTrait, poly_a,
     trait_b::GI.PolygonTrait, poly_b,
-)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source
julia
overlaps(
+)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source
julia
overlaps(
     ::GI.PolygonTrait, poly1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.PolygonTrait, poly2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
`,29))]),i("details",b,[i("summary",null,[s[33]||(s[33]=i("a",{id:"GeometryOps.touches",href:"#GeometryOps.touches"},[i("span",{class:"jlbinding"},"GeometryOps.touches")],-1)),s[34]||(s[34]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[35]||(s[35]=a(`
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
`,29))]),i("details",b,[i("summary",null,[s[33]||(s[33]=i("a",{id:"GeometryOps.touches",href:"#GeometryOps.touches"},[i("span",{class:"jlbinding"},"GeometryOps.touches")],-1)),s[34]||(s[34]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[35]||(s[35]=a(`
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true
source
`,5))]),i("details",f,[i("summary",null,[s[36]||(s[36]=i("a",{id:"GeometryOps.within",href:"#GeometryOps.within"},[i("span",{class:"jlbinding"},"GeometryOps.within")],-1)),s[37]||(s[37]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[38]||(s[38]=a(`
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
`,5))]),i("details",f,[i("summary",null,[s[36]||(s[36]=i("a",{id:"GeometryOps.within",href:"#GeometryOps.within"},[i("span",{class:"jlbinding"},"GeometryOps.within")],-1)),s[37]||(s[37]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[38]||(s[38]=a(`
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true
source
`,6))]),s[337]||(s[337]=i("h3",{id:"Other-general-methods",tabindex:"-1"},[e("Other general methods "),i("a",{class:"header-anchor",href:"#Other-general-methods","aria-label":'Permalink to "Other general methods {#Other-general-methods}"'},"​")],-1)),i("details",A,[i("summary",null,[s[39]||(s[39]=i("a",{id:"GeometryOps.equals",href:"#GeometryOps.equals"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[40]||(s[40]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[41]||(s[41]=a(`
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
`,6))]),s[346]||(s[346]=i("h3",{id:"Other-general-methods",tabindex:"-1"},[e("Other general methods "),i("a",{class:"header-anchor",href:"#Other-general-methods","aria-label":'Permalink to "Other general methods {#Other-general-methods}"'},"​")],-1)),i("details",A,[i("summary",null,[s[39]||(s[39]=i("a",{id:"GeometryOps.equals",href:"#GeometryOps.equals"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[40]||(s[40]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[41]||(s[41]=a(`
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
 GO.equals(poly1, poly2)
 # output
-true
source
julia
equals(::T, geom_a, ::T, geom_b)::Bool
Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.
source
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source
julia
equals(
+true
source
julia
equals(::T, geom_a, ::T, geom_b)::Bool
Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.
source
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.
source
julia
equals(
+)::Bool
Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.
source
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
julia
equals(
+)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
julia
equals(
+)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
`,47))]),i("details",G,[i("summary",null,[s[42]||(s[42]=i("a",{id:"GeometryOps.centroid",href:"#GeometryOps.centroid"},[i("span",{class:"jlbinding"},"GeometryOps.centroid")],-1)),s[43]||(s[43]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[44]||(s[44]=a('
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
',3))]),i("details",_,[i("summary",null,[s[45]||(s[45]=i("a",{id:"GeometryOps.distance",href:"#GeometryOps.distance"},[i("span",{class:"jlbinding"},"GeometryOps.distance")],-1)),s[46]||(s[46]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[47]||(s[47]=a('
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',5))]),i("details",v,[i("summary",null,[s[48]||(s[48]=i("a",{id:"GeometryOps.signed_distance",href:"#GeometryOps.signed_distance"},[i("span",{class:"jlbinding"},"GeometryOps.signed_distance")],-1)),s[49]||(s[49]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[50]||(s[50]=a('
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',4))]),i("details",j,[i("summary",null,[s[51]||(s[51]=i("a",{id:"GeometryOps.area",href:"#GeometryOps.area"},[i("span",{class:"jlbinding"},"GeometryOps.area")],-1)),s[52]||(s[52]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[53]||(s[53]=a(`
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
+)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
`,47))]),i("details",G,[i("summary",null,[s[42]||(s[42]=i("a",{id:"GeometryOps.centroid",href:"#GeometryOps.centroid"},[i("span",{class:"jlbinding"},"GeometryOps.centroid")],-1)),s[43]||(s[43]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[44]||(s[44]=a('
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
',3))]),i("details",_,[i("summary",null,[s[45]||(s[45]=i("a",{id:"GeometryOps.distance",href:"#GeometryOps.distance"},[i("span",{class:"jlbinding"},"GeometryOps.distance")],-1)),s[46]||(s[46]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[47]||(s[47]=a('
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',5))]),i("details",v,[i("summary",null,[s[48]||(s[48]=i("a",{id:"GeometryOps.signed_distance",href:"#GeometryOps.signed_distance"},[i("span",{class:"jlbinding"},"GeometryOps.signed_distance")],-1)),s[49]||(s[49]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[50]||(s[50]=a('
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',4))]),i("details",j,[i("summary",null,[s[51]||(s[51]=i("a",{id:"GeometryOps.area",href:"#GeometryOps.area"},[i("span",{class:"jlbinding"},"GeometryOps.area")],-1)),s[52]||(s[52]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[53]||(s[53]=a(`
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
`,5))]),i("details",B,[i("summary",null,[s[54]||(s[54]=i("a",{id:"GeometryOps.signed_area",href:"#GeometryOps.signed_area"},[i("span",{class:"jlbinding"},"GeometryOps.signed_area")],-1)),s[55]||(s[55]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[56]||(s[56]=a(`
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
+    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
`,5))]),i("details",B,[i("summary",null,[s[54]||(s[54]=i("a",{id:"GeometryOps.signed_area",href:"#GeometryOps.signed_area"},[i("span",{class:"jlbinding"},"GeometryOps.signed_area")],-1)),s[55]||(s[55]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[56]||(s[56]=a(`
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
 - The signed area of a curve is always zero.
 - The signed area of a polygon is computed with the shoelace formula and is
 positive if the polygon coordinates wind clockwise and negative if
 counterclockwise.
 - You cannot compute the signed area of a multipolygon as it doesn't have a
-meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
`,5))]),i("details",O,[i("summary",null,[s[57]||(s[57]=i("a",{id:"GeometryOps.angles",href:"#GeometryOps.angles"},[i("span",{class:"jlbinding"},"GeometryOps.angles")],-1)),s[58]||(s[58]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[59]||(s[59]=a(`
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
+meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
`,5))]),i("details",O,[i("summary",null,[s[57]||(s[57]=i("a",{id:"GeometryOps.angles",href:"#GeometryOps.angles"},[i("span",{class:"jlbinding"},"GeometryOps.angles")],-1)),s[58]||(s[58]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[59]||(s[59]=a(`
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source
`,5))]),i("details",D,[i("summary",null,[s[60]||(s[60]=i("a",{id:"GeometryOps.embed_extent",href:"#GeometryOps.embed_extent"},[i("span",{class:"jlbinding"},"GeometryOps.embed_extent")],-1)),s[61]||(s[61]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[62]||(s[62]=a('
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
',6))]),s[338]||(s[338]=i("h2",{id:"Barycentric-coordinates",tabindex:"-1"},[e("Barycentric coordinates "),i("a",{class:"header-anchor",href:"#Barycentric-coordinates","aria-label":'Permalink to "Barycentric coordinates {#Barycentric-coordinates}"'},"​")],-1)),i("details",I,[i("summary",null,[s[63]||(s[63]=i("a",{id:"GeometryOps.barycentric_coordinates",href:"#GeometryOps.barycentric_coordinates"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates")],-1)),s[64]||(s[64]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[65]||(s[65]=a('
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
',3))]),i("details",x,[i("summary",null,[s[66]||(s[66]=i("a",{id:"GeometryOps.barycentric_coordinates!",href:"#GeometryOps.barycentric_coordinates!"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!")],-1)),s[67]||(s[67]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[68]||(s[68]=a('
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
',5))]),i("details",Q,[i("summary",null,[s[69]||(s[69]=i("a",{id:"GeometryOps.barycentric_interpolate",href:"#GeometryOps.barycentric_interpolate"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate")],-1)),s[70]||(s[70]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[71]||(s[71]=a('
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
',5))]),s[339]||(s[339]=i("h2",{id:"Other-methods",tabindex:"-1"},[e("Other methods "),i("a",{class:"header-anchor",href:"#Other-methods","aria-label":'Permalink to "Other methods {#Other-methods}"'},"​")],-1)),i("details",S,[i("summary",null,[s[72]||(s[72]=i("a",{id:"GeometryOps.GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS",href:"#GeometryOps.GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS"},[i("span",{class:"jlbinding"},"GeometryOps.GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS")],-1)),s[73]||(s[73]=e()),n(t,{type:"info",class:"jlObjectType jlConstant",text:"Constant"})]),s[74]||(s[74]=i("p",null,"The number of vertices past which we should use a STRtree for edge intersection checking.",-1)),s[75]||(s[75]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/81f70fd20ba2e9992e2c192c14b6558784249217/src/methods/clipping/clipping_processor.jl#L80",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",w,[i("summary",null,[s[76]||(s[76]=i("a",{id:"GeometryOps.AbstractBarycentricCoordinateMethod",href:"#GeometryOps.AbstractBarycentricCoordinateMethod"},[i("span",{class:"jlbinding"},"GeometryOps.AbstractBarycentricCoordinateMethod")],-1)),s[77]||(s[77]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[78]||(s[78]=a('
julia
abstract type AbstractBarycentricCoordinateMethod
Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.
API
The following methods must be implemented for all subtypes:
  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V
The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.
source
',7))]),i("details",P,[i("summary",null,[s[79]||(s[79]=i("a",{id:"GeometryOps.ClosedRing",href:"#GeometryOps.ClosedRing"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[80]||(s[80]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[81]||(s[81]=a('
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
',5))]),i("details",L,[i("summary",null,[s[82]||(s[82]=i("a",{id:"GeometryOps.DiffIntersectingPolygons",href:"#GeometryOps.DiffIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[83]||(s[83]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[84]||(s[84]=a('
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
',3))]),i("details",V,[i("summary",null,[s[85]||(s[85]=i("a",{id:"GeometryOps.DouglasPeucker",href:"#GeometryOps.DouglasPeucker"},[i("span",{class:"jlbinding"},"GeometryOps.DouglasPeucker")],-1)),s[86]||(s[86]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[87]||(s[87]=a(`
julia
DouglasPeucker <: SimplifyAlg
+    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source
`,5))]),i("details",D,[i("summary",null,[s[60]||(s[60]=i("a",{id:"GeometryOps.embed_extent",href:"#GeometryOps.embed_extent"},[i("span",{class:"jlbinding"},"GeometryOps.embed_extent")],-1)),s[61]||(s[61]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[62]||(s[62]=a('
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
',6))]),s[347]||(s[347]=i("h2",{id:"Barycentric-coordinates",tabindex:"-1"},[e("Barycentric coordinates "),i("a",{class:"header-anchor",href:"#Barycentric-coordinates","aria-label":'Permalink to "Barycentric coordinates {#Barycentric-coordinates}"'},"​")],-1)),i("details",I,[i("summary",null,[s[63]||(s[63]=i("a",{id:"GeometryOps.barycentric_coordinates",href:"#GeometryOps.barycentric_coordinates"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates")],-1)),s[64]||(s[64]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[65]||(s[65]=a('
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
',3))]),i("details",x,[i("summary",null,[s[66]||(s[66]=i("a",{id:"GeometryOps.barycentric_coordinates!",href:"#GeometryOps.barycentric_coordinates!"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!")],-1)),s[67]||(s[67]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[68]||(s[68]=a('
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
',5))]),i("details",Q,[i("summary",null,[s[69]||(s[69]=i("a",{id:"GeometryOps.barycentric_interpolate",href:"#GeometryOps.barycentric_interpolate"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate")],-1)),s[70]||(s[70]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[71]||(s[71]=a('
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
',5))]),s[348]||(s[348]=i("h2",{id:"Other-methods",tabindex:"-1"},[e("Other methods "),i("a",{class:"header-anchor",href:"#Other-methods","aria-label":'Permalink to "Other methods {#Other-methods}"'},"​")],-1)),i("details",S,[i("summary",null,[s[72]||(s[72]=i("a",{id:"GeometryOps.GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS",href:"#GeometryOps.GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS"},[i("span",{class:"jlbinding"},"GeometryOps.GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS")],-1)),s[73]||(s[73]=e()),n(t,{type:"info",class:"jlObjectType jlConstant",text:"Constant"})]),s[74]||(s[74]=i("p",null,"The number of vertices past which we should use a STRtree for edge intersection checking.",-1)),s[75]||(s[75]=i("p",null,[i("a",{href:"https://github.com/JuliaGeo/GeometryOps.jl/blob/ad7303e2994d2cf37eed678d2200c9419134cb62/src/methods/clipping/clipping_processor.jl#L165",target:"_blank",rel:"noreferrer"},"source")],-1))]),i("details",w,[i("summary",null,[s[76]||(s[76]=i("a",{id:"GeometryOps.AbstractBarycentricCoordinateMethod",href:"#GeometryOps.AbstractBarycentricCoordinateMethod"},[i("span",{class:"jlbinding"},"GeometryOps.AbstractBarycentricCoordinateMethod")],-1)),s[77]||(s[77]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[78]||(s[78]=a('
julia
abstract type AbstractBarycentricCoordinateMethod
Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.
API
The following methods must be implemented for all subtypes:
  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V
The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.
source
',7))]),i("details",P,[i("summary",null,[s[79]||(s[79]=i("a",{id:"GeometryOps.ClosedRing",href:"#GeometryOps.ClosedRing"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[80]||(s[80]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[81]||(s[81]=a('
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
',5))]),i("details",L,[i("summary",null,[s[82]||(s[82]=i("a",{id:"GeometryOps.DiffIntersectingPolygons",href:"#GeometryOps.DiffIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[83]||(s[83]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[84]||(s[84]=a('
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
',3))]),i("details",V,[i("summary",null,[s[85]||(s[85]=i("a",{id:"GeometryOps.DouglasPeucker",href:"#GeometryOps.DouglasPeucker"},[i("span",{class:"jlbinding"},"GeometryOps.DouglasPeucker")],-1)),s[86]||(s[86]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[87]||(s[87]=a(`
julia
DouglasPeucker <: SimplifyAlg
 
-DouglasPeucker(; number, ratio, tol)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance a point will be from the line joining its neighboring points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source
`,6))]),i("details",R,[i("summary",null,[s[88]||(s[88]=i("a",{id:"GeometryOps.GEOS",href:"#GeometryOps.GEOS"},[i("span",{class:"jlbinding"},"GeometryOps.GEOS")],-1)),s[89]||(s[89]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[90]||(s[90]=a('
julia
GEOS(; params...)
A struct which instructs the method it's passed to as an algorithm to use the appropriate GEOS function via LibGEOS.jl for the operation.
Dispatch is generally carried out using the names of the keyword arguments. For example, segmentize will only accept a GEOS struct with only a max_distance keyword, and no other.
It's generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!
source
',5))]),i("details",M,[i("summary",null,[s[91]||(s[91]=i("a",{id:"GeometryOps.GeodesicSegments",href:"#GeometryOps.GeodesicSegments"},[i("span",{class:"jlbinding"},"GeometryOps.GeodesicSegments")],-1)),s[92]||(s[92]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[93]||(s[93]=a('
julia
GeodesicSegments(; max_distance::Real, equatorial_radius::Real=6378137, flattening::Real=1/298.257223563)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.
Warning
Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.
Arguments
  • max_distance::Real: The maximum distance, in meters, between vertices in the geometry.
  • equatorial_radius::Real=6378137: The equatorial radius of the Earth, in meters. Passed to Proj.geod_geodesic.
  • flattening::Real=1/298.257223563: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to Proj.geod_geodesic.
One can also omit the equatorial_radius and flattening keyword arguments, and pass a geodesic object directly to the eponymous keyword.
This method uses the Proj/GeographicLib API for geodesic calculations.
source
',8))]),i("details",q,[i("summary",null,[s[94]||(s[94]=i("a",{id:"GeometryOps.GeometryCorrection",href:"#GeometryOps.GeometryCorrection"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[95]||(s[95]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[96]||(s[96]=a('
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
',5))]),i("details",N,[i("summary",null,[s[97]||(s[97]=i("a",{id:"GeometryOps.LineOrientation",href:"#GeometryOps.LineOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.LineOrientation")],-1)),s[98]||(s[98]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[99]||(s[99]=a('
julia
Enum LineOrientation
Enum for the orientation of a line with respect to a curve. A line can be line_cross (crossing over the curve), line_hinge (crossing the endpoint of the curve), line_over (collinear with the curve), or line_out (not interacting with the curve).
source
',3))]),i("details",J,[i("summary",null,[s[100]||(s[100]=i("a",{id:"GeometryOps.LinearSegments",href:"#GeometryOps.LinearSegments"},[i("span",{class:"jlbinding"},"GeometryOps.LinearSegments")],-1)),s[101]||(s[101]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[102]||(s[102]=a('
julia
LinearSegments(; max_distance::Real)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.
Here, max_distance is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the max_distance will be in degrees of arc. If the polygon is provided in meters, then the max_distance will be in meters.
source
',4))]),i("details",U,[i("summary",null,[s[103]||(s[103]=i("a",{id:"GeometryOps.MeanValue",href:"#GeometryOps.MeanValue"},[i("span",{class:"jlbinding"},"GeometryOps.MeanValue")],-1)),s[104]||(s[104]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[105]||(s[105]=a('
julia
MeanValue() <: AbstractBarycentricCoordinateMethod
This method calculates barycentric coordinates using the mean value method.
References
source
',4))]),i("details",H,[i("summary",null,[s[106]||(s[106]=i("a",{id:"GeometryOps.MonotoneChainMethod",href:"#GeometryOps.MonotoneChainMethod"},[i("span",{class:"jlbinding"},"GeometryOps.MonotoneChainMethod")],-1)),s[107]||(s[107]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[108]||(s[108]=a('
julia
MonotoneChainMethod()
This is an algorithm for the convex_hull function.
Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.
See also convex_hull
source
',5))]),i("details",z,[i("summary",null,[s[109]||(s[109]=i("a",{id:"GeometryOps.PointOrientation",href:"#GeometryOps.PointOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.PointOrientation")],-1)),s[110]||(s[110]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[111]||(s[111]=a('
julia
Enum PointOrientation
Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.
source
',3))]),i("details",W,[i("summary",null,[s[112]||(s[112]=i("a",{id:"GeometryOps.RadialDistance",href:"#GeometryOps.RadialDistance"},[i("span",{class:"jlbinding"},"GeometryOps.RadialDistance")],-1)),s[113]||(s[113]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[114]||(s[114]=a('
julia
RadialDistance <: SimplifyAlg
Simplifies geometries by removing points less than tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance between points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source
',6))]),i("details",Z,[i("summary",null,[s[115]||(s[115]=i("a",{id:"GeometryOps.SimplifyAlg",href:"#GeometryOps.SimplifyAlg"},[i("span",{class:"jlbinding"},"GeometryOps.SimplifyAlg")],-1)),s[116]||(s[116]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[117]||(s[117]=a('
julia
abstract type SimplifyAlg
Abstract type for simplification algorithms.
API
For now, the algorithm must hold the number, ratio and tol properties.
Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.
source
',6))]),i("details",K,[i("summary",null,[s[118]||(s[118]=i("a",{id:"GeometryOps.UnionIntersectingPolygons",href:"#GeometryOps.UnionIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[119]||(s[119]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[120]||(s[120]=a('
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
',4))]),i("details",X,[i("summary",null,[s[121]||(s[121]=i("a",{id:"GeometryOps.VisvalingamWhyatt",href:"#GeometryOps.VisvalingamWhyatt"},[i("span",{class:"jlbinding"},"GeometryOps.VisvalingamWhyatt")],-1)),s[122]||(s[122]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[123]||(s[123]=a(`
julia
VisvalingamWhyatt <: SimplifyAlg
+DouglasPeucker(; number, ratio, tol)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance a point will be from the line joining its neighboring points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source
`,6))]),i("details",R,[i("summary",null,[s[88]||(s[88]=i("a",{id:"GeometryOps.FosterHormannClipping",href:"#GeometryOps.FosterHormannClipping"},[i("span",{class:"jlbinding"},"GeometryOps.FosterHormannClipping")],-1)),s[89]||(s[89]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[90]||(s[90]=a('
julia
FosterHormannClipping{M <: Manifold, A <: Union{Nothing, Accelerator}} <: GeometryOpsCore.Algorithm{M}
A type that represents the Foster-Hormann clipping algorithm.
Arguments
  • manifold::M: The manifold on which the algorithm operates.
  • accelerator::A: The accelerator to use for the algorithm. Can be nothing for automatic choice, or a custom accelerator.
source
',5))]),i("details",M,[i("summary",null,[s[91]||(s[91]=i("a",{id:"GeometryOps.GEOS",href:"#GeometryOps.GEOS"},[i("span",{class:"jlbinding"},"GeometryOps.GEOS")],-1)),s[92]||(s[92]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[93]||(s[93]=a('
julia
GEOS(; params...)
A struct which instructs the method it's passed to as an algorithm to use the appropriate GEOS function via LibGEOS.jl for the operation.
Dispatch is generally carried out using the names of the keyword arguments. For example, segmentize will only accept a GEOS struct with only a max_distance keyword, and no other.
It's generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!
source
',5))]),i("details",q,[i("summary",null,[s[94]||(s[94]=i("a",{id:"GeometryOps.GeodesicSegments",href:"#GeometryOps.GeodesicSegments"},[i("span",{class:"jlbinding"},"GeometryOps.GeodesicSegments")],-1)),s[95]||(s[95]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[96]||(s[96]=a('
julia
GeodesicSegments(; max_distance::Real, equatorial_radius::Real=6378137, flattening::Real=1/298.257223563)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.
Warning
Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.
Arguments
  • max_distance::Real: The maximum distance, in meters, between vertices in the geometry.
  • equatorial_radius::Real=6378137: The equatorial radius of the Earth, in meters. Passed to Proj.geod_geodesic.
  • flattening::Real=1/298.257223563: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to Proj.geod_geodesic.
One can also omit the equatorial_radius and flattening keyword arguments, and pass a geodesic object directly to the eponymous keyword.
This method uses the Proj/GeographicLib API for geodesic calculations.
source
',8))]),i("details",N,[i("summary",null,[s[97]||(s[97]=i("a",{id:"GeometryOps.GeometryCorrection",href:"#GeometryOps.GeometryCorrection"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[98]||(s[98]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[99]||(s[99]=a('
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
',5))]),i("details",H,[i("summary",null,[s[100]||(s[100]=i("a",{id:"GeometryOps.IntersectionAccelerator",href:"#GeometryOps.IntersectionAccelerator"},[i("span",{class:"jlbinding"},"GeometryOps.IntersectionAccelerator")],-1)),s[101]||(s[101]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[102]||(s[102]=a('
julia
abstract type IntersectionAccelerator
The abstract supertype for all intersection accelerator types.
The idea is that these speed up the edge-edge intersection checking process, perhaps at the cost of memory.
The naive case is NestedLoop, which is just a nested loop, running in O(n*m) time.
Then we have SingleSTRtree, which is a single STRtree, running in O(n*log(m)) time.
Then we have DoubleSTRtree, which is am simultaneous double-tree traversal of two STRtrees.
Finally, we have AutoAccelerator, which is an automatic accelerator that chooses the best accelerator based on the size of the input polygons. This gets materialized in build_a_list for now.
source
',8))]),i("details",J,[i("summary",null,[s[103]||(s[103]=i("a",{id:"GeometryOps.LineOrientation",href:"#GeometryOps.LineOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.LineOrientation")],-1)),s[104]||(s[104]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[105]||(s[105]=a('
julia
Enum LineOrientation
Enum for the orientation of a line with respect to a curve. A line can be line_cross (crossing over the curve), line_hinge (crossing the endpoint of the curve), line_over (collinear with the curve), or line_out (not interacting with the curve).
source
',3))]),i("details",U,[i("summary",null,[s[106]||(s[106]=i("a",{id:"GeometryOps.LinearSegments",href:"#GeometryOps.LinearSegments"},[i("span",{class:"jlbinding"},"GeometryOps.LinearSegments")],-1)),s[107]||(s[107]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[108]||(s[108]=a('
julia
LinearSegments(; max_distance::Real)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.
Here, max_distance is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the max_distance will be in degrees of arc. If the polygon is provided in meters, then the max_distance will be in meters.
source
',4))]),i("details",z,[i("summary",null,[s[109]||(s[109]=i("a",{id:"GeometryOps.MeanValue",href:"#GeometryOps.MeanValue"},[i("span",{class:"jlbinding"},"GeometryOps.MeanValue")],-1)),s[110]||(s[110]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[111]||(s[111]=a('
julia
MeanValue() <: AbstractBarycentricCoordinateMethod
This method calculates barycentric coordinates using the mean value method.
References
source
',4))]),i("details",W,[i("summary",null,[s[112]||(s[112]=i("a",{id:"GeometryOps.MonotoneChainMethod",href:"#GeometryOps.MonotoneChainMethod"},[i("span",{class:"jlbinding"},"GeometryOps.MonotoneChainMethod")],-1)),s[113]||(s[113]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[114]||(s[114]=a('
julia
MonotoneChainMethod()
This is an algorithm for the convex_hull function.
Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.
See also convex_hull
source
',5))]),i("details",Z,[i("summary",null,[s[115]||(s[115]=i("a",{id:"GeometryOps.PointOrientation",href:"#GeometryOps.PointOrientation"},[i("span",{class:"jlbinding"},"GeometryOps.PointOrientation")],-1)),s[116]||(s[116]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[117]||(s[117]=a('
julia
Enum PointOrientation
Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.
source
',3))]),i("details",K,[i("summary",null,[s[118]||(s[118]=i("a",{id:"GeometryOps.RadialDistance",href:"#GeometryOps.RadialDistance"},[i("span",{class:"jlbinding"},"GeometryOps.RadialDistance")],-1)),s[119]||(s[119]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[120]||(s[120]=a('
julia
RadialDistance <: SimplifyAlg
Simplifies geometries by removing points less than tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance between points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source
',6))]),i("details",X,[i("summary",null,[s[121]||(s[121]=i("a",{id:"GeometryOps.SimplifyAlg",href:"#GeometryOps.SimplifyAlg"},[i("span",{class:"jlbinding"},"GeometryOps.SimplifyAlg")],-1)),s[122]||(s[122]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[123]||(s[123]=a('
julia
abstract type SimplifyAlg
Abstract type for simplification algorithms.
API
For now, the algorithm must hold the number, ratio and tol properties.
Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.
source
',6))]),i("details",Y,[i("summary",null,[s[124]||(s[124]=i("a",{id:"GeometryOps.TracingHitEveryPointError",href:"#GeometryOps.TracingHitEveryPointError"},[i("span",{class:"jlbinding"},"GeometryOps.TracingHitEveryPointError")],-1)),s[125]||(s[125]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[126]||(s[126]=a('
julia
TracingHitEveryPointError{T1, T2} <: Exception
An error that is thrown when the clipping tracing algorithm hits every point in a polygon. This is a bug in the algorithm, and should be reported.
The polygons are contained in the exception object, accessible by try-catch or as err in the REPL.
source
',4))]),i("details",$,[i("summary",null,[s[127]||(s[127]=i("a",{id:"GeometryOps.UnionIntersectingPolygons",href:"#GeometryOps.UnionIntersectingPolygons"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[128]||(s[128]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[129]||(s[129]=a('
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
',4))]),i("details",ss,[i("summary",null,[s[130]||(s[130]=i("a",{id:"GeometryOps.VisvalingamWhyatt",href:"#GeometryOps.VisvalingamWhyatt"},[i("span",{class:"jlbinding"},"GeometryOps.VisvalingamWhyatt")],-1)),s[131]||(s[131]=e()),n(t,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[132]||(s[132]=a(`
julia
VisvalingamWhyatt <: SimplifyAlg
 
-VisvalingamWhyatt(; kw...)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum area of a triangle made with a point and its neighboring points.
Note: user input tol is doubled to avoid unnecessary computation in algorithm.
source
`,6))]),i("details",Y,[i("summary",null,[s[124]||(s[124]=i("a",{id:"GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1<:Real, T2<:Real}",href:"#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1<:Real, T2<:Real}"},[i("span",{class:"jlbinding"},"GeometryOps._det")],-1)),s[125]||(s[125]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[126]||(s[126]=a('
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}
Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.
Specifically, this is:
julia
s1[1] * s2[2] - s1[2] * s2[1]
source
',5))]),i("details",$,[i("summary",null,[s[127]||(s[127]=i("a",{id:"GeometryOps._equals_curves-NTuple{4, Any}",href:"#GeometryOps._equals_curves-NTuple{4, Any}"},[i("span",{class:"jlbinding"},"GeometryOps._equals_curves")],-1)),s[128]||(s[128]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[129]||(s[129]=a('
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool
Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)
source
',3))]),i("details",ss,[i("summary",null,[s[130]||(s[130]=i("a",{id:"GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.angles")],-1)),s[131]||(s[131]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[132]||(s[132]=a(`
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
+VisvalingamWhyatt(; kw...)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum area of a triangle made with a point and its neighboring points.
Note: user input tol is doubled to avoid unnecessary computation in algorithm.
source
`,6))]),i("details",is,[i("summary",null,[s[133]||(s[133]=i("a",{id:"GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1<:Real, T2<:Real}",href:"#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1<:Real, T2<:Real}"},[i("span",{class:"jlbinding"},"GeometryOps._det")],-1)),s[134]||(s[134]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[135]||(s[135]=a('
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}
Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.
Specifically, this is:
julia
s1[1] * s2[2] - s1[2] * s2[1]
source
',5))]),i("details",as,[i("summary",null,[s[136]||(s[136]=i("a",{id:"GeometryOps._equals_curves-NTuple{4, Any}",href:"#GeometryOps._equals_curves-NTuple{4, Any}"},[i("span",{class:"jlbinding"},"GeometryOps._equals_curves")],-1)),s[137]||(s[137]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[138]||(s[138]=a('
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool
Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)
source
',3))]),i("details",es,[i("summary",null,[s[139]||(s[139]=i("a",{id:"GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.angles")],-1)),s[140]||(s[140]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[141]||(s[141]=a(`
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source
`,5))]),i("details",is,[i("summary",null,[s[133]||(s[133]=i("a",{id:"GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.area")],-1)),s[134]||(s[134]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[135]||(s[135]=a(`
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
+    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source
`,5))]),i("details",ts,[i("summary",null,[s[142]||(s[142]=i("a",{id:"GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.area")],-1)),s[143]||(s[143]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[144]||(s[144]=a(`
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
`,5))]),i("details",as,[i("summary",null,[s[136]||(s[136]=i("a",{id:"GeometryOps.barycentric_coordinates!-Tuple{Vector{<:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}",href:"#GeometryOps.barycentric_coordinates!-Tuple{Vector{<:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!")],-1)),s[137]||(s[137]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[138]||(s[138]=a('
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
',5))]),i("details",es,[i("summary",null,[s[139]||(s[139]=i("a",{id:"GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}",href:"#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates")],-1)),s[140]||(s[140]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[141]||(s[141]=a('
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
',3))]),i("details",ts,[i("summary",null,[s[142]||(s[142]=i("a",{id:"GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V",href:"#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate")],-1)),s[143]||(s[143]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[144]||(s[144]=a('
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
',5))]),i("details",ns,[i("summary",null,[s[145]||(s[145]=i("a",{id:"GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.centroid")],-1)),s[146]||(s[146]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[147]||(s[147]=a('
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
',3))]),i("details",ls,[i("summary",null,[s[148]||(s[148]=i("a",{id:"GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.centroid_and_area")],-1)),s[149]||(s[149]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[150]||(s[150]=a('
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and area of a given geometry.
source
',3))]),i("details",ps,[i("summary",null,[s[151]||(s[151]=i("a",{id:"GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.centroid_and_length")],-1)),s[152]||(s[152]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[153]||(s[153]=a('
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.
source
',3))]),i("details",hs,[i("summary",null,[s[154]||(s[154]=i("a",{id:"GeometryOps.contains-Tuple{Any, Any}",href:"#GeometryOps.contains-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.contains")],-1)),s[155]||(s[155]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[156]||(s[156]=a(`
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
`,5))]),i("details",ns,[i("summary",null,[s[145]||(s[145]=i("a",{id:"GeometryOps.barycentric_coordinates!-Tuple{Vector{<:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}",href:"#GeometryOps.barycentric_coordinates!-Tuple{Vector{<:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!")],-1)),s[146]||(s[146]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[147]||(s[147]=a('
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
',5))]),i("details",ls,[i("summary",null,[s[148]||(s[148]=i("a",{id:"GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}",href:"#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates")],-1)),s[149]||(s[149]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[150]||(s[150]=a('
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
',3))]),i("details",ps,[i("summary",null,[s[151]||(s[151]=i("a",{id:"GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V",href:"#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"},[i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate")],-1)),s[152]||(s[152]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[153]||(s[153]=a('
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
',5))]),i("details",hs,[i("summary",null,[s[154]||(s[154]=i("a",{id:"GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.centroid")],-1)),s[155]||(s[155]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[156]||(s[156]=a('
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
',3))]),i("details",rs,[i("summary",null,[s[157]||(s[157]=i("a",{id:"GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.centroid_and_area")],-1)),s[158]||(s[158]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[159]||(s[159]=a('
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and area of a given geometry.
source
',3))]),i("details",os,[i("summary",null,[s[160]||(s[160]=i("a",{id:"GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.centroid_and_length")],-1)),s[161]||(s[161]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[162]||(s[162]=a('
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.
source
',3))]),i("details",ks,[i("summary",null,[s[163]||(s[163]=i("a",{id:"GeometryOps.contains-Tuple{Any, Any}",href:"#GeometryOps.contains-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.contains")],-1)),s[164]||(s[164]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[165]||(s[165]=a(`
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true
source
`,6))]),i("details",ks,[i("summary",null,[s[157]||(s[157]=i("a",{id:"GeometryOps.convex_hull",href:"#GeometryOps.convex_hull"},[i("span",{class:"jlbinding"},"GeometryOps.convex_hull")],-1)),s[158]||(s[158]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[159]||(s[159]=a('
julia
convex_hull([method], geometries)
Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.
Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.
Warning
This interface only computes the 2-dimensional convex hull!
For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).
source
',5))]),i("details",rs,[i("summary",null,[s[160]||(s[160]=i("a",{id:"GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.coverage")],-1)),s[161]||(s[161]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[162]||(s[162]=a('
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T
Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:
  • The signed area of a point is always zero.
  • The signed area of a curve is always zero.
  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.
  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',5))]),i("details",os,[i("summary",null,[s[163]||(s[163]=i("a",{id:"GeometryOps.coveredby-Tuple{Any, Any}",href:"#GeometryOps.coveredby-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.coveredby")],-1)),s[164]||(s[164]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[165]||(s[165]=a(`
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
`,6))]),i("details",ds,[i("summary",null,[s[166]||(s[166]=i("a",{id:"GeometryOps.convex_hull",href:"#GeometryOps.convex_hull"},[i("span",{class:"jlbinding"},"GeometryOps.convex_hull")],-1)),s[167]||(s[167]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[168]||(s[168]=a('
julia
convex_hull([method], geometries)
Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.
Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.
Warning
This interface only computes the 2-dimensional convex hull!
For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).
source
',5))]),i("details",gs,[i("summary",null,[s[169]||(s[169]=i("a",{id:"GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.coverage")],-1)),s[170]||(s[170]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[171]||(s[171]=a('
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T
Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:
  • The signed area of a point is always zero.
  • The signed area of a curve is always zero.
  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.
  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',5))]),i("details",ys,[i("summary",null,[s[172]||(s[172]=i("a",{id:"GeometryOps.coveredby-Tuple{Any, Any}",href:"#GeometryOps.coveredby-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.coveredby")],-1)),s[173]||(s[173]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[174]||(s[174]=a(`
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true
source
`,6))]),i("details",ds,[i("summary",null,[s[166]||(s[166]=i("a",{id:"GeometryOps.covers-Tuple{Any, Any}",href:"#GeometryOps.covers-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.covers")],-1)),s[167]||(s[167]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[168]||(s[168]=a(`
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
`,6))]),i("details",Es,[i("summary",null,[s[175]||(s[175]=i("a",{id:"GeometryOps.covers-Tuple{Any, Any}",href:"#GeometryOps.covers-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.covers")],-1)),s[176]||(s[176]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[177]||(s[177]=a(`
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true
source
`,6))]),i("details",gs,[i("summary",null,[s[169]||(s[169]=i("a",{id:"GeometryOps.crosses-Tuple{Any, Any}",href:"#GeometryOps.crosses-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.crosses")],-1)),s[170]||(s[170]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[171]||(s[171]=a(`
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example
source
`,6))]),i("details",ys,[i("summary",null,[s[172]||(s[172]=i("a",{id:"GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.cut")],-1)),s[173]||(s[173]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[174]||(s[174]=a(`
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 geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.
Note: This currently doesn't work for degenerate cases there line crosses through vertices.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+true
source
`,6))]),i("details",cs,[i("summary",null,[s[178]||(s[178]=i("a",{id:"GeometryOps.crosses-Tuple{Any, Any}",href:"#GeometryOps.crosses-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.crosses")],-1)),s[179]||(s[179]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[180]||(s[180]=a(`
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example
source
`,6))]),i("details",us,[i("summary",null,[s[181]||(s[181]=i("a",{id:"GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.cut")],-1)),s[182]||(s[182]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[183]||(s[183]=a(`
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 geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.
Note: This currently doesn't work for degenerate cases there line crosses through vertices.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0.0, 0.0), (10.0, 0.0), (10.0, 10.0), (0.0, 10.0), (0.0, 0.0)]])
 line = GI.Line([(5.0, -5.0), (5.0, 15.0)])
@@ -176,7 +176,7 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 # output
 2-element Vector{Vector{Vector{Vector{Float64}}}}:
  [[[0.0, 0.0], [5.0, 0.0], [5.0, 10.0], [0.0, 10.0], [0.0, 0.0]]]
- [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]
source
`,6))]),i("details",Es,[i("summary",null,[s[175]||(s[175]=i("a",{id:"GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.difference")],-1)),s[176]||(s[176]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[177]||(s[177]=a(`
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+ [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]
source
`,6))]),i("details",ms,[i("summary",null,[s[184]||(s[184]=i("a",{id:"GeometryOps.difference-Union{Tuple{T}, Tuple{GeometryOps.FosterHormannClipping, Any, Any}, Tuple{GeometryOps.FosterHormannClipping, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.difference-Union{Tuple{T}, Tuple{GeometryOps.FosterHormannClipping, Any, Any}, Tuple{GeometryOps.FosterHormannClipping, Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.difference")],-1)),s[185]||(s[185]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[186]||(s[186]=a(`
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 poly1 = GI.Polygon([[[0.0, 0.0], [5.0, 5.0], [10.0, 0.0], [5.0, -5.0], [0.0, 0.0]]])
 poly2 = GI.Polygon([[[3.0, 0.0], [8.0, 5.0], [13.0, 0.0], [8.0, -5.0], [3.0, 0.0]]])
@@ -185,32 +185,32 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]
source
`,5))]),i("details",cs,[i("summary",null,[s[178]||(s[178]=i("a",{id:"GeometryOps.disjoint-Tuple{Any, Any}",href:"#GeometryOps.disjoint-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.disjoint")],-1)),s[179]||(s[179]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[180]||(s[180]=a(`
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]
source
`,5))]),i("details",Fs,[i("summary",null,[s[187]||(s[187]=i("a",{id:"GeometryOps.disjoint-Tuple{Any, Any}",href:"#GeometryOps.disjoint-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.disjoint")],-1)),s[188]||(s[188]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[189]||(s[189]=a(`
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true
source
`,6))]),i("details",us,[i("summary",null,[s[181]||(s[181]=i("a",{id:"GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.distance")],-1)),s[182]||(s[182]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[183]||(s[183]=a('
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',5))]),i("details",ms,[i("summary",null,[s[184]||(s[184]=i("a",{id:"GeometryOps.eachedge-Tuple{Any}",href:"#GeometryOps.eachedge-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.eachedge")],-1)),s[185]||(s[185]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[186]||(s[186]=a('
julia
eachedge(geom, [::Type{T}])
Decompose a geometry into a list of edges. Currently only works for LineString and LinearRing.
Returns some iterator, which yields tuples of points. Each tuple is an edge.
It goes (p1, p2), (p2, p3), (p3, p4), ... etc.
source
',5))]),i("details",Fs,[i("summary",null,[s[187]||(s[187]=i("a",{id:"GeometryOps.embed_extent-Tuple{Any}",href:"#GeometryOps.embed_extent-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.embed_extent")],-1)),s[188]||(s[188]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[189]||(s[189]=a('
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
',6))]),i("details",Cs,[i("summary",null,[s[190]||(s[190]=i("a",{id:"GeometryOps.enforce-Tuple{GEOS, Symbol, Any}",href:"#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.enforce")],-1)),s[191]||(s[191]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[192]||(s[192]=a('
julia
enforce(alg::GO.GEOS, kw::Symbol, f)
Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].
Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).
source
',4))]),i("details",Ts,[i("summary",null,[s[193]||(s[193]=i("a",{id:"GeometryOps.equals-NTuple{4, Any}",href:"#GeometryOps.equals-NTuple{4, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[194]||(s[194]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[195]||(s[195]=a('
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source
',3))]),i("details",bs,[i("summary",null,[s[196]||(s[196]=i("a",{id:"GeometryOps.equals-Tuple{Any, Any}",href:"#GeometryOps.equals-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[197]||(s[197]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[198]||(s[198]=a(`
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
`,6))]),i("details",Cs,[i("summary",null,[s[190]||(s[190]=i("a",{id:"GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.distance")],-1)),s[191]||(s[191]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[192]||(s[192]=a('
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',5))]),i("details",Ts,[i("summary",null,[s[193]||(s[193]=i("a",{id:"GeometryOps.eachedge-Tuple{Any}",href:"#GeometryOps.eachedge-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.eachedge")],-1)),s[194]||(s[194]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[195]||(s[195]=a('
julia
eachedge(geom, [::Type{T}])
Decompose a geometry into a list of edges. Currently only works for LineString and LinearRing.
Returns some iterator, which yields tuples of points. Each tuple is an edge.
It goes (p1, p2), (p2, p3), (p3, p4), ... etc.
source
',5))]),i("details",bs,[i("summary",null,[s[196]||(s[196]=i("a",{id:"GeometryOps.embed_extent-Tuple{Any}",href:"#GeometryOps.embed_extent-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.embed_extent")],-1)),s[197]||(s[197]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[198]||(s[198]=a('
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
',6))]),i("details",fs,[i("summary",null,[s[199]||(s[199]=i("a",{id:"GeometryOps.enforce-Tuple{GEOS, Symbol, Any}",href:"#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.enforce")],-1)),s[200]||(s[200]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[201]||(s[201]=a('
julia
enforce(alg::GO.GEOS, kw::Symbol, f)
Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].
Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).
source
',4))]),i("details",As,[i("summary",null,[s[202]||(s[202]=i("a",{id:"GeometryOps.equals-NTuple{4, Any}",href:"#GeometryOps.equals-NTuple{4, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[203]||(s[203]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[204]||(s[204]=a('
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source
',3))]),i("details",Gs,[i("summary",null,[s[205]||(s[205]=i("a",{id:"GeometryOps.equals-Tuple{Any, Any}",href:"#GeometryOps.equals-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[206]||(s[206]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[207]||(s[207]=a(`
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
 GO.equals(poly1, poly2)
 # output
-true
source
`,5))]),i("details",fs,[i("summary",null,[s[199]||(s[199]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[200]||(s[200]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[201]||(s[201]=a(`
julia
equals(
+true
source
`,5))]),i("details",_s,[i("summary",null,[s[208]||(s[208]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[209]||(s[209]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[210]||(s[210]=a(`
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
`,3))]),i("details",As,[i("summary",null,[s[202]||(s[202]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[203]||(s[203]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[204]||(s[204]=a(`
julia
equals(
+)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
`,3))]),i("details",vs,[i("summary",null,[s[211]||(s[211]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[212]||(s[212]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[213]||(s[213]=a(`
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
`,3))]),i("details",Gs,[i("summary",null,[s[205]||(s[205]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[206]||(s[206]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[207]||(s[207]=a('
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source
',3))]),i("details",_s,[i("summary",null,[s[208]||(s[208]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[209]||(s[209]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[210]||(s[210]=a('
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
',3))]),i("details",vs,[i("summary",null,[s[211]||(s[211]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[212]||(s[212]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[213]||(s[213]=a('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
',3))]),i("details",js,[i("summary",null,[s[214]||(s[214]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[215]||(s[215]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[216]||(s[216]=a('
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
',3))]),i("details",Bs,[i("summary",null,[s[217]||(s[217]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[218]||(s[218]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[219]||(s[219]=a('
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
',3))]),i("details",Os,[i("summary",null,[s[220]||(s[220]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[221]||(s[221]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[222]||(s[222]=a('
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source
',3))]),i("details",Ds,[i("summary",null,[s[223]||(s[223]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[224]||(s[224]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[225]||(s[225]=a('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
',3))]),i("details",Is,[i("summary",null,[s[226]||(s[226]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[227]||(s[227]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[228]||(s[228]=a('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
',3))]),i("details",xs,[i("summary",null,[s[229]||(s[229]=i("a",{id:"GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}",href:"#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[230]||(s[230]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[231]||(s[231]=a(`
julia
equals(
+)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
`,3))]),i("details",js,[i("summary",null,[s[214]||(s[214]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[215]||(s[215]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[216]||(s[216]=a('
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source
',3))]),i("details",Bs,[i("summary",null,[s[217]||(s[217]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[218]||(s[218]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[219]||(s[219]=a('
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
',3))]),i("details",Os,[i("summary",null,[s[220]||(s[220]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[221]||(s[221]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[222]||(s[222]=a('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
',3))]),i("details",Ds,[i("summary",null,[s[223]||(s[223]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[224]||(s[224]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[225]||(s[225]=a('
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
',3))]),i("details",Is,[i("summary",null,[s[226]||(s[226]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[227]||(s[227]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[228]||(s[228]=a('
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
',3))]),i("details",xs,[i("summary",null,[s[229]||(s[229]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[230]||(s[230]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[231]||(s[231]=a('
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source
',3))]),i("details",Qs,[i("summary",null,[s[232]||(s[232]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[233]||(s[233]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[234]||(s[234]=a('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
',3))]),i("details",Ss,[i("summary",null,[s[235]||(s[235]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[236]||(s[236]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[237]||(s[237]=a('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
',3))]),i("details",ws,[i("summary",null,[s[238]||(s[238]=i("a",{id:"GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}",href:"#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[239]||(s[239]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[240]||(s[240]=a(`
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
`,3))]),i("details",Qs,[i("summary",null,[s[232]||(s[232]=i("a",{id:"GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}",href:"#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[233]||(s[233]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[234]||(s[234]=a(`
julia
equals(
+)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
`,3))]),i("details",Ps,[i("summary",null,[s[241]||(s[241]=i("a",{id:"GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}",href:"#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[242]||(s[242]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[243]||(s[243]=a(`
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.
source
`,3))]),i("details",Ss,[i("summary",null,[s[235]||(s[235]=i("a",{id:"GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T",href:"#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[236]||(s[236]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[237]||(s[237]=a('
julia
equals(::T, geom_a, ::T, geom_b)::Bool
Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.
source
',3))]),i("details",ws,[i("summary",null,[s[238]||(s[238]=i("a",{id:"GeometryOps.flip-Tuple{Any}",href:"#GeometryOps.flip-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.flip")],-1)),s[239]||(s[239]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[240]||(s[240]=a('
julia
flip(obj)
Swap all of the x and y coordinates in obj, otherwise keeping the original structure (but not necessarily the original type).
Keywords
  • 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.
source
',5))]),i("details",Ps,[i("summary",null,[s[241]||(s[241]=i("a",{id:"GeometryOps.forcexy-Tuple{Any}",href:"#GeometryOps.forcexy-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.forcexy")],-1)),s[242]||(s[242]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[243]||(s[243]=a('
julia
forcexy(geom)
Force the geometry to be 2D. Works on any geometry, vector of geometries, feature collection, or table!
source
',3))]),i("details",Ls,[i("summary",null,[s[244]||(s[244]=i("a",{id:"GeometryOps.forcexyz",href:"#GeometryOps.forcexyz"},[i("span",{class:"jlbinding"},"GeometryOps.forcexyz")],-1)),s[245]||(s[245]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[246]||(s[246]=a('
julia
forcexyz(geom, z = 0)
Force the geometry to be 3D. Works on any geometry, vector of geometries, feature collection, or table!
The z parameter is the default z value - if a point has no z value, it will be set to this value. If it does, then the z value will be kept.
source
',4))]),i("details",Vs,[i("summary",null,[s[247]||(s[247]=i("a",{id:"GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.intersection")],-1)),s[248]||(s[248]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[249]||(s[249]=a(`
julia
intersection(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the intersection between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a target type as a keyword argument and a list of target geometries found in the intersection will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to nothing if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+)::Bool
Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.
source
`,3))]),i("details",Ls,[i("summary",null,[s[244]||(s[244]=i("a",{id:"GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T",href:"#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.equals")],-1)),s[245]||(s[245]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[246]||(s[246]=a('
julia
equals(::T, geom_a, ::T, geom_b)::Bool
Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.
source
',3))]),i("details",Vs,[i("summary",null,[s[247]||(s[247]=i("a",{id:"GeometryOps.flip-Tuple{Any}",href:"#GeometryOps.flip-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.flip")],-1)),s[248]||(s[248]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[249]||(s[249]=a('
julia
flip(obj)
Swap all of the x and y coordinates in obj, otherwise keeping the original structure (but not necessarily the original type).
Keywords
  • 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.
source
',5))]),i("details",Rs,[i("summary",null,[s[250]||(s[250]=i("a",{id:"GeometryOps.forcexy-Tuple{Any}",href:"#GeometryOps.forcexy-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.forcexy")],-1)),s[251]||(s[251]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[252]||(s[252]=a('
julia
forcexy(geom)
Force the geometry to be 2D. Works on any geometry, vector of geometries, feature collection, or table!
source
',3))]),i("details",Ms,[i("summary",null,[s[253]||(s[253]=i("a",{id:"GeometryOps.forcexyz",href:"#GeometryOps.forcexyz"},[i("span",{class:"jlbinding"},"GeometryOps.forcexyz")],-1)),s[254]||(s[254]=e()),n(t,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[255]||(s[255]=a('
julia
forcexyz(geom, z = 0)
Force the geometry to be 3D. Works on any geometry, vector of geometries, feature collection, or table!
The z parameter is the default z value - if a point has no z value, it will be set to this value. If it does, then the z value will be kept.
source
',4))]),i("details",qs,[i("summary",null,[s[256]||(s[256]=i("a",{id:"GeometryOps.intersection-Union{Tuple{T}, Tuple{GeometryOps.FosterHormannClipping, Any, Any}, Tuple{GeometryOps.FosterHormannClipping, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.intersection-Union{Tuple{T}, Tuple{GeometryOps.FosterHormannClipping, Any, Any}, Tuple{GeometryOps.FosterHormannClipping, Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.intersection")],-1)),s[257]||(s[257]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[258]||(s[258]=a(`
julia
intersection(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the intersection between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a target type as a keyword argument and a list of target geometries found in the intersection will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to nothing if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
@@ -219,7 +219,7 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 
 # output
 1-element Vector{Vector{Float64}}:
- [125.58375366067548, -14.83572303404496]
source
`,5))]),i("details",Rs,[i("summary",null,[s[250]||(s[250]=i("a",{id:"GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.intersection_points")],-1)),s[251]||(s[251]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[252]||(s[252]=a(`
julia
intersection_points(geom_a, geom_b, [T::Type])
Return a list of intersection tuple points between two geometries. If no intersection points exist, returns an empty list.
Example
jldoctest

+ [125.58375366067548, -14.83572303404496]
source
`,5))]),i("details",Ns,[i("summary",null,[s[259]||(s[259]=i("a",{id:"GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.intersection_points")],-1)),s[260]||(s[260]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[261]||(s[261]=a(`
julia
intersection_points(geom_a, geom_b, [T::Type])
Return a list of intersection tuple points between two geometries. If no intersection points exist, returns an empty list.
Example
jldoctest

 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)]) line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)]) inter_points = GO.intersection_points(line1, line2)
 
 **output**
@@ -227,7 +227,7 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 1-element Vector{Tuple{Float64, Float64}}:  (125.58375366067548, -14.83572303404496)
 
 
-[source](https://github.com/JuliaGeo/GeometryOps.jl/blob/81f70fd20ba2e9992e2c192c14b6558784249217/src/methods/clipping/intersection.jl#L177-L195)
+[source](https://github.com/JuliaGeo/GeometryOps.jl/blob/ad7303e2994d2cf37eed678d2200c9419134cb62/src/methods/clipping/intersection.jl#L190-L208)
 
 </details>
 
@@ -244,57 +244,57 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 GO.intersects(line1, line2)
 
 # output
-true
source
`,9))]),i("details",Ms,[i("summary",null,[s[253]||(s[253]=i("a",{id:"GeometryOps.isclockwise-Tuple{Any}",href:"#GeometryOps.isclockwise-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.isclockwise")],-1)),s[254]||(s[254]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[257]||(s[257]=a('
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 counter-clockwise. "Going clockwise" means, mathematically,
',2)),i("mjx-container",qs,[(p(),l("svg",Ns,s[255]||(s[255]=[a('',1)]))),s[256]||(s[256]=i("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%"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[i("mrow",{"data-mjx-texclass":"INNER"},[i("mo",{"data-mjx-texclass":"OPEN"},"("),i("munderover",null,[i("mo",{"data-mjx-texclass":"OP"},"∑"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"="),i("mn",null,"2")]),i("mi",null,"n")]),i("mo",{stretchy:"false"},"("),i("msub",null,[i("mi",null,"x"),i("mi",null,"i")]),i("mo",null,"−"),i("msub",null,[i("mi",null,"x"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"−"),i("mn",null,"1")])]),i("mo",{stretchy:"false"},")"),i("mo",null,"⋅"),i("mo",{stretchy:"false"},"("),i("msub",null,[i("mi",null,"y"),i("mi",null,"i")]),i("mo",null,"+"),i("msub",null,[i("mi",null,"y"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"−"),i("mn",null,"1")])]),i("mo",{stretchy:"false"},")"),i("mo",{"data-mjx-texclass":"CLOSE"},")")]),i("mo",null,">"),i("mn",null,"0")])],-1))]),s[258]||(s[258]=a(`
Example
julia
julia> import GeoInterface as GI, GeometryOps as GO
+true
source
`,9))]),i("details",Hs,[i("summary",null,[s[262]||(s[262]=i("a",{id:"GeometryOps.isclockwise-Tuple{Any}",href:"#GeometryOps.isclockwise-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.isclockwise")],-1)),s[263]||(s[263]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[266]||(s[266]=a('
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 counter-clockwise. "Going clockwise" means, mathematically,
',2)),i("mjx-container",Js,[(p(),l("svg",Us,s[264]||(s[264]=[a('',1)]))),s[265]||(s[265]=i("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%"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[i("mrow",{"data-mjx-texclass":"INNER"},[i("mo",{"data-mjx-texclass":"OPEN"},"("),i("munderover",null,[i("mo",{"data-mjx-texclass":"OP"},"∑"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"="),i("mn",null,"2")]),i("mi",null,"n")]),i("mo",{stretchy:"false"},"("),i("msub",null,[i("mi",null,"x"),i("mi",null,"i")]),i("mo",null,"−"),i("msub",null,[i("mi",null,"x"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"−"),i("mn",null,"1")])]),i("mo",{stretchy:"false"},")"),i("mo",null,"⋅"),i("mo",{stretchy:"false"},"("),i("msub",null,[i("mi",null,"y"),i("mi",null,"i")]),i("mo",null,"+"),i("msub",null,[i("mi",null,"y"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"−"),i("mn",null,"1")])]),i("mo",{stretchy:"false"},")"),i("mo",{"data-mjx-texclass":"CLOSE"},")")]),i("mo",null,">"),i("mn",null,"0")])],-1))]),s[267]||(s[267]=a(`
Example
julia
julia> import GeoInterface as GI, GeometryOps as GO
 julia> ring = GI.LinearRing([(0, 0), (1, 1), (1, 0), (0, 0)]);
 julia> GO.isclockwise(ring)
 # output
-true
source
`,3))]),i("details",Js,[i("summary",null,[s[259]||(s[259]=i("a",{id:"GeometryOps.isconcave-Tuple{Any}",href:"#GeometryOps.isconcave-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.isconcave")],-1)),s[260]||(s[260]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[261]||(s[261]=a(`
julia
isconcave(poly::Polygon)::Bool
Take a polygon and return true or false as to whether it is concave or not.
Examples
julia
import GeoInterface as GI, GeometryOps as GO
+true
source
`,3))]),i("details",zs,[i("summary",null,[s[268]||(s[268]=i("a",{id:"GeometryOps.isconcave-Tuple{Any}",href:"#GeometryOps.isconcave-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.isconcave")],-1)),s[269]||(s[269]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[270]||(s[270]=a(`
julia
isconcave(poly::Polygon)::Bool
Take a polygon and return true or false as to whether it is concave or not.
Examples
julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0, 0), (0, 1), (1, 1), (1, 0), (0, 0)]])
 GO.isconcave(poly)
 
 # output
-false
source
`,5))]),i("details",Us,[i("summary",null,[s[262]||(s[262]=i("a",{id:"GeometryOps.overlaps-Tuple{Any, Any}",href:"#GeometryOps.overlaps-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[263]||(s[263]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[264]||(s[264]=a(`
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+false
source
`,5))]),i("details",Ws,[i("summary",null,[s[271]||(s[271]=i("a",{id:"GeometryOps.overlaps-Tuple{Any, Any}",href:"#GeometryOps.overlaps-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[272]||(s[272]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[273]||(s[273]=a(`
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
 GO.overlaps(poly1, poly2)
 # output
-true
source
`,5))]),i("details",Hs,[i("summary",null,[s[265]||(s[265]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[266]||(s[266]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[267]||(s[267]=a('
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source
',3))]),i("details",zs,[i("summary",null,[s[268]||(s[268]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[269]||(s[269]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[270]||(s[270]=a('
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source
',3))]),i("details",Ws,[i("summary",null,[s[271]||(s[271]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[272]||(s[272]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[273]||(s[273]=a(`
julia
overlaps(
+true
source
`,5))]),i("details",Zs,[i("summary",null,[s[274]||(s[274]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[275]||(s[275]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[276]||(s[276]=a('
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source
',3))]),i("details",Ks,[i("summary",null,[s[277]||(s[277]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[278]||(s[278]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[279]||(s[279]=a('
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source
',3))]),i("details",Xs,[i("summary",null,[s[280]||(s[280]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[281]||(s[281]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[282]||(s[282]=a(`
julia
overlaps(
     ::GI.MultiPointTrait, points1,
     ::GI.MultiPointTrait, points2,
-)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source
`,3))]),i("details",Zs,[i("summary",null,[s[274]||(s[274]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[275]||(s[275]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[276]||(s[276]=a(`
julia
overlaps(
+)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source
`,3))]),i("details",Ys,[i("summary",null,[s[283]||(s[283]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[284]||(s[284]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[285]||(s[285]=a(`
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
`,3))]),i("details",Ks,[i("summary",null,[s[277]||(s[277]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[278]||(s[278]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[279]||(s[279]=a(`
julia
overlaps(
+)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
`,3))]),i("details",$s,[i("summary",null,[s[286]||(s[286]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[287]||(s[287]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[288]||(s[288]=a(`
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.PolygonTrait, poly2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
`,3))]),i("details",Xs,[i("summary",null,[s[280]||(s[280]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[281]||(s[281]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[282]||(s[282]=a(`
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
`,3))]),i("details",si,[i("summary",null,[s[289]||(s[289]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[290]||(s[290]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[291]||(s[291]=a(`
julia
overlaps(
     ::GI.PolygonTrait, poly1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
`,3))]),i("details",Ys,[i("summary",null,[s[283]||(s[283]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[284]||(s[284]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[285]||(s[285]=a(`
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
`,3))]),i("details",ii,[i("summary",null,[s[292]||(s[292]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[293]||(s[293]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[294]||(s[294]=a(`
julia
overlaps(
     trait_a::GI.PolygonTrait, poly_a,
     trait_b::GI.PolygonTrait, poly_b,
-)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source
`,3))]),i("details",$s,[i("summary",null,[s[286]||(s[286]=i("a",{id:"GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}",href:"#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[287]||(s[287]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[288]||(s[288]=a(`
julia
overlaps(
+)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source
`,3))]),i("details",ai,[i("summary",null,[s[295]||(s[295]=i("a",{id:"GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}",href:"#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.overlaps")],-1)),s[296]||(s[296]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[297]||(s[297]=a(`
julia
overlaps(
     ::Union{GI.LineStringTrait, GI.LinearRing}, line1,
     ::Union{GI.LineStringTrait, GI.LinearRing}, line2,
-)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source
`,3))]),i("details",si,[i("summary",null,[s[289]||(s[289]=i("a",{id:"GeometryOps.polygon_to_line-Tuple{Any}",href:"#GeometryOps.polygon_to_line-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.polygon_to_line")],-1)),s[290]||(s[290]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[291]||(s[291]=a(`
julia
polygon_to_line(poly::Polygon)
Converts a Polygon to LineString or MultiLineString
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source
`,3))]),i("details",ei,[i("summary",null,[s[298]||(s[298]=i("a",{id:"GeometryOps.polygon_to_line-Tuple{Any}",href:"#GeometryOps.polygon_to_line-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.polygon_to_line")],-1)),s[299]||(s[299]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[300]||(s[300]=a(`
julia
polygon_to_line(poly::Polygon)
Converts a Polygon to LineString or MultiLineString
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 poly = GI.Polygon([[(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)]])
 GO.polygon_to_line(poly)
 # output
-GeoInterface.Wrappers.LineString{false, false}([(-2.275543, 53.464547), … (3) … , (-2.275543, 53.464547)])
source
`,5))]),i("details",ii,[i("summary",null,[s[292]||(s[292]=i("a",{id:"GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}",href:"#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"},[i("span",{class:"jlbinding"},"GeometryOps.polygonize")],-1)),s[293]||(s[293]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[294]||(s[294]=a(`
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
+GeoInterface.Wrappers.LineString{false, false}([(-2.275543, 53.464547), … (3) … , (-2.275543, 53.464547)])
source
`,5))]),i("details",ti,[i("summary",null,[s[301]||(s[301]=i("a",{id:"GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}",href:"#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"},[i("span",{class:"jlbinding"},"GeometryOps.polygonize")],-1)),s[302]||(s[302]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[303]||(s[303]=a(`
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
 polygonize(f, A::AbstractMatrix; kw...)
 polygonize(xs, ys, A::AbstractMatrix{Bool}; kw...)
 polygonize(f, xs, ys, A::AbstractMatrix; kw...)
Polygonize an AbstractMatrix of values, currently to a single class of polygons.
Returns a MultiPolygon for Bool values and f return values, and a FeatureCollection of Features holding MultiPolygon for all other values.
Function f should return either true or false or a transformation of values into simpler groups, especially useful for floating point arrays.
If xs and ys are ranges, they are used as the pixel/cell center points. If they are Vector of Tuple they are used as the lower and upper bounds of each pixel/cell.
Keywords
  • minpoints: ignore polygons with less than minpoints points.
  • values: the values to turn into polygons. By default these are union(A), If function f is passed these refer to the return values of f, by default union(map(f, A). If values Bool, false is ignored and a single MultiPolygon is returned rather than a FeatureCollection.
Example
julia
using GeometryOps
 A = rand(100, 100)
-multipolygon = polygonize(>(0.5), A);
source
`,10))]),i("details",ai,[i("summary",null,[s[295]||(s[295]=i("a",{id:"GeometryOps.segmentize-Tuple{Any}",href:"#GeometryOps.segmentize-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.segmentize")],-1)),s[296]||(s[296]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[297]||(s[297]=a('
julia
segmentize([method = Planar()], geom; max_distance::Real, threaded)
Segmentize 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.
Arguments
  • method::Manifold = Planar(): The method to use for segmentizing the geometry. At the moment, only Planar (assumes a flat plane) and Geodesic (assumes geometry on the ellipsoidal Earth and uses Vincenty's formulae) are available.
  • geom: The geometry to segmentize. Must be a LineString, LinearRing, Polygon, MultiPolygon, or GeometryCollection, or some vector or table of those.
  • max_distance::Real: The maximum distance between vertices in the geometry. Beware: for Planar, this is in the units of the geometry, but for Geodesic and Spherical it's in units of the radius of the sphere.
Returns a geometry of similar type to the input geometry, but resampled.
source
',6))]),i("details",ei,[i("summary",null,[s[298]||(s[298]=i("a",{id:"GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.signed_area")],-1)),s[299]||(s[299]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[300]||(s[300]=a(`
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
+multipolygon = polygonize(>(0.5), A);
source
`,10))]),i("details",ni,[i("summary",null,[s[304]||(s[304]=i("a",{id:"GeometryOps.segmentize-Tuple{Any}",href:"#GeometryOps.segmentize-Tuple{Any}"},[i("span",{class:"jlbinding"},"GeometryOps.segmentize")],-1)),s[305]||(s[305]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[306]||(s[306]=a('
julia
segmentize([method = Planar()], geom; max_distance::Real, threaded)
Segmentize 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.
Arguments
  • method::Manifold = Planar(): The method to use for segmentizing the geometry. At the moment, only Planar (assumes a flat plane) and Geodesic (assumes geometry on the ellipsoidal Earth and uses Vincenty's formulae) are available.
  • geom: The geometry to segmentize. Must be a LineString, LinearRing, Polygon, MultiPolygon, or GeometryCollection, or some vector or table of those.
  • max_distance::Real: The maximum distance between vertices in the geometry. Beware: for Planar, this is in the units of the geometry, but for Geodesic and Spherical it's in units of the radius of the sphere.
Returns a geometry of similar type to the input geometry, but resampled.
source
',6))]),i("details",li,[i("summary",null,[s[307]||(s[307]=i("a",{id:"GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.signed_area")],-1)),s[308]||(s[308]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[309]||(s[309]=a(`
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
 - The signed area of a curve is always zero.
 - The signed area of a polygon is computed with the shoelace formula and is
 positive if the polygon coordinates wind clockwise and negative if
 counterclockwise.
 - You cannot compute the signed area of a multipolygon as it doesn't have a
-meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
`,5))]),i("details",ti,[i("summary",null,[s[301]||(s[301]=i("a",{id:"GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.signed_distance")],-1)),s[302]||(s[302]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[303]||(s[303]=a('
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',4))]),i("details",ni,[i("summary",null,[s[304]||(s[304]=i("a",{id:"GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}",href:"#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.simplify")],-1)),s[305]||(s[305]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[306]||(s[306]=a(`
julia
simplify(obj; kw...)
+meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
`,5))]),i("details",pi,[i("summary",null,[s[310]||(s[310]=i("a",{id:"GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.signed_distance")],-1)),s[311]||(s[311]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[312]||(s[312]=a('
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
',4))]),i("details",hi,[i("summary",null,[s[313]||(s[313]=i("a",{id:"GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}",href:"#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.simplify")],-1)),s[314]||(s[314]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[315]||(s[315]=a(`
julia
simplify(obj; kw...)
 simplify(::SimplifyAlg, obj; kw...)
Simplify a geometry, feature, feature collection, or nested vectors or a table of these.
RadialDistance, DouglasPeucker, or VisvalingamWhyatt algorithms are available, listed in order of increasing quality but decreasing performance.
PoinTrait and MultiPointTrait are returned unchanged.
The default behaviour is simplify(DouglasPeucker(; kw...), obj). Pass in other SimplifyAlg to use other algorithms.
Keywords
  • prefilter_alg: SimplifyAlg algorithm used to pre-filter object before using primary filtering algorithm.
  • 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.
Keywords for DouglasPeucker are allowed when no algorithm is specified:
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance a point will be from the line joining its neighboring points.
Example
Simplify a polygon to have six points:
julia
import GeoInterface as GI
 import GeometryOps as GO
 
@@ -324,9 +324,9 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 GI.npoint(simple)
 
 # output
-6
source
`,14))]),i("details",li,[i("summary",null,[s[307]||(s[307]=i("a",{id:"GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{NTuple{N, T1}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{NTuple{N, T1}, 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{NTuple{N, T1}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{NTuple{N, T1}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}"},[i("span",{class:"jlbinding"},"GeometryOps.t_value")],-1)),s[308]||(s[308]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[311]||(s[311]=a('
julia
t_value(sᵢ, sᵢ₊₁, rᵢ, rᵢ₊₁)
Returns the "T-value" as described in Hormann's presentation [1] on how to calculate the mean-value coordinate.
Here, sᵢ is the vector from vertex vᵢ to the point, and rᵢ is the norm (length) of sᵢ. s must be Point and r must be real numbers.
',3)),i("mjx-container",pi,[(p(),l("svg",hi,s[309]||(s[309]=[a('ᵢᵢᵢ₊₁ᵢᵢ₊₁ᵢᵢ₊₁',1)]))),s[310]||(s[310]=i("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%"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[i("mi",null,"t"),i("mi",null,"ᵢ"),i("mo",null,"="),i("mfrac",null,[i("mrow",null,[i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",{"data-mjx-auto-op":"false"},"det")]),i("mrow",{"data-mjx-texclass":"INNER"},[i("mo",{"data-mjx-texclass":"OPEN"},"("),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mo",null,","),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")]),i("mo",{"data-mjx-texclass":"CLOSE"},")")])]),i("mrow",null,[i("mi",null,"r"),i("mi",null,"ᵢ"),i("mo",null,"∗"),i("mi",null,"r"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")]),i("mo",null,"+"),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mo",null,"⋅"),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")])])])])],-1))]),s[312]||(s[312]=a(`

+6
source
`,14))]),i("details",ri,[i("summary",null,[s[316]||(s[316]=i("a",{id:"GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{NTuple{N, T1}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{NTuple{N, T1}, 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{NTuple{N, T1}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{NTuple{N, T1}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}"},[i("span",{class:"jlbinding"},"GeometryOps.t_value")],-1)),s[317]||(s[317]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[320]||(s[320]=a('
julia
t_value(sᵢ, sᵢ₊₁, rᵢ, rᵢ₊₁)
Returns the "T-value" as described in Hormann's presentation [1] on how to calculate the mean-value coordinate.
Here, sᵢ is the vector from vertex vᵢ to the point, and rᵢ is the norm (length) of sᵢ. s must be Point and r must be real numbers.
',3)),i("mjx-container",oi,[(p(),l("svg",ki,s[318]||(s[318]=[a('ᵢᵢᵢ₊₁ᵢᵢ₊₁ᵢᵢ₊₁',1)]))),s[319]||(s[319]=i("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%"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[i("mi",null,"t"),i("mi",null,"ᵢ"),i("mo",null,"="),i("mfrac",null,[i("mrow",null,[i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",{"data-mjx-auto-op":"false"},"det")]),i("mrow",{"data-mjx-texclass":"INNER"},[i("mo",{"data-mjx-texclass":"OPEN"},"("),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mo",null,","),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")]),i("mo",{"data-mjx-texclass":"CLOSE"},")")])]),i("mrow",null,[i("mi",null,"r"),i("mi",null,"ᵢ"),i("mo",null,"∗"),i("mi",null,"r"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")]),i("mo",null,"+"),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mo",null,"⋅"),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")])])])])],-1))]),s[321]||(s[321]=a(`

 
-[source](https://github.com/JuliaGeo/GeometryOps.jl/blob/81f70fd20ba2e9992e2c192c14b6558784249217/src/methods/barycentric.jl#L289-L305)
+[source](https://github.com/JuliaGeo/GeometryOps.jl/blob/ad7303e2994d2cf37eed678d2200c9419134cb62/src/methods/barycentric.jl#L289-L305)
 
 </details>
 
@@ -336,14 +336,14 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 
 
 \`\`\`julia
-to_edgelist(geom, [::Type{T}])
Convert a geometry into a vector of GI.Line objects with attached extents.
source
`,3))]),i("details",ki,[i("summary",null,[s[313]||(s[313]=i("a",{id:"GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.to_edges")],-1)),s[314]||(s[314]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[315]||(s[315]=a('
julia
to_edges()
Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.
source
',3))]),i("details",ri,[i("summary",null,[s[316]||(s[316]=i("a",{id:"GeometryOps.touches-Tuple{Any, Any}",href:"#GeometryOps.touches-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.touches")],-1)),s[317]||(s[317]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[318]||(s[318]=a(`
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+to_edgelist(geom, [::Type{T}])
Convert a geometry into a vector of GI.Line objects with attached extents.
source
`,3))]),i("details",di,[i("summary",null,[s[322]||(s[322]=i("a",{id:"GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.to_edges")],-1)),s[323]||(s[323]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[324]||(s[324]=a('
julia
to_edges()
Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.
source
',3))]),i("details",gi,[i("summary",null,[s[325]||(s[325]=i("a",{id:"GeometryOps.touches-Tuple{Any, Any}",href:"#GeometryOps.touches-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.touches")],-1)),s[326]||(s[326]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[327]||(s[327]=a(`
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true
source
`,5))]),i("details",oi,[i("summary",null,[s[319]||(s[319]=i("a",{id:"GeometryOps.transform-Tuple{Any, Any}",href:"#GeometryOps.transform-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.transform")],-1)),s[320]||(s[320]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[321]||(s[321]=a(`
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
+true
source
`,5))]),i("details",yi,[i("summary",null,[s[328]||(s[328]=i("a",{id:"GeometryOps.transform-Tuple{Any, Any}",href:"#GeometryOps.transform-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.transform")],-1)),s[329]||(s[329]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[330]||(s[330]=a(`
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
 
 julia> import GeometryOps as GO
 
@@ -362,7 +362,7 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
`,9))]),i("details",di,[i("summary",null,[s[322]||(s[322]=i("a",{id:"GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.tuples")],-1)),s[323]||(s[323]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[324]||(s[324]=a('
julia
tuples(obj)
Convert all points in obj to Tuples, wherever the are nested.
Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.
Keywords
  • 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.
source
',6))]),i("details",gi,[i("summary",null,[s[325]||(s[325]=i("a",{id:"GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.union")],-1)),s[326]||(s[326]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[327]||(s[327]=a(`
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Calculates the union between two polygons.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
`,9))]),i("details",Ei,[i("summary",null,[s[331]||(s[331]=i("a",{id:"GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},[i("span",{class:"jlbinding"},"GeometryOps.tuples")],-1)),s[332]||(s[332]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[333]||(s[333]=a('
julia
tuples(obj)
Convert all points in obj to Tuples, wherever the are nested.
Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.
Keywords
  • 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.
source
',6))]),i("details",ci,[i("summary",null,[s[334]||(s[334]=i("a",{id:"GeometryOps.union-Union{Tuple{T}, Tuple{GeometryOps.FosterHormannClipping, Any, Any}, Tuple{GeometryOps.FosterHormannClipping, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.union-Union{Tuple{T}, Tuple{GeometryOps.FosterHormannClipping, Any, Any}, Tuple{GeometryOps.FosterHormannClipping, Any, Any, Type{T}}} where T<:AbstractFloat"},[i("span",{class:"jlbinding"},"GeometryOps.union")],-1)),s[335]||(s[335]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[336]||(s[336]=a(`
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Calculates the union between two polygons.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 p1 = GI.Polygon([[(0.0, 0.0), (5.0, 5.0), (10.0, 0.0), (5.0, -5.0), (0.0, 0.0)]])
 p2 = GI.Polygon([[(3.0, 0.0), (8.0, 5.0), (13.0, 0.0), (8.0, -5.0), (3.0, 0.0)]])
@@ -371,11 +371,11 @@ import{_ as h,C as k,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/fr
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]
source
`,6))]),i("details",yi,[i("summary",null,[s[328]||(s[328]=i("a",{id:"GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real",href:"#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real"},[i("span",{class:"jlbinding"},"GeometryOps.weighted_mean")],-1)),s[329]||(s[329]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[330]||(s[330]=a('
julia
weighted_mean(weight::Real, x1, x2)
Returns the weighted mean of x1 and x2, where weight is the weight of x1.
Specifically, calculates x1 * weight + x2 * (1 - weight).
Note
The idea for this method is that you can override this for custom types, like Color types, in extension modules.
source
',5))]),i("details",Ei,[i("summary",null,[s[331]||(s[331]=i("a",{id:"GeometryOps.within-Tuple{Any, Any}",href:"#GeometryOps.within-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.within")],-1)),s[332]||(s[332]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[333]||(s[333]=a(`
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]
source
`,6))]),i("details",ui,[i("summary",null,[s[337]||(s[337]=i("a",{id:"GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real",href:"#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real"},[i("span",{class:"jlbinding"},"GeometryOps.weighted_mean")],-1)),s[338]||(s[338]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[339]||(s[339]=a('
julia
weighted_mean(weight::Real, x1, x2)
Returns the weighted mean of x1 and x2, where weight is the weight of x1.
Specifically, calculates x1 * weight + x2 * (1 - weight).
Note
The idea for this method is that you can override this for custom types, like Color types, in extension modules.
source
',5))]),i("details",mi,[i("summary",null,[s[340]||(s[340]=i("a",{id:"GeometryOps.within-Tuple{Any, Any}",href:"#GeometryOps.within-Tuple{Any, Any}"},[i("span",{class:"jlbinding"},"GeometryOps.within")],-1)),s[341]||(s[341]=e()),n(t,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[342]||(s[342]=a(`
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true
source
`,6))]),s[340]||(s[340]=a('
  1. K. Hormann and N. Sukumar. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor & Fancis, CRC Press, 2017. ↩︎
',2))])}const Ai=h(r,[["render",ci]]);export{fi as __pageData,Ai as default};
+true

source

`,6))]),s[349]||(s[349]=a('

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

',2))])}const vi=h(o,[["render",Fi]]);export{_i as __pageData,vi as default}; diff --git a/previews/PR259/assets/api.md.2CTl0mwp.lean.js b/previews/PR259/assets/api.md.2CTl0mwp.lean.js new file mode 100644 index 000000000..52338fcfb --- /dev/null +++ b/previews/PR259/assets/api.md.2CTl0mwp.lean.js @@ -0,0 +1 @@ +import{_ as h,C as r,c as l,o as p,az as a,j as i,a as e,G as n}from"./chunks/framework.mcBEtuSi.js";const _i=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),o={name:"api.md"},k={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},E={class:"jldocstring custom-block",open:""},c={class:"jldocstring custom-block",open:""},u={class:"jldocstring custom-block",open:""},m={class:"jldocstring custom-block",open:""},F={class:"jldocstring 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n="/GeometryOps.jl/previews/PR259/assets/damgmke.CeGTh3mf.png",y=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),p={name:"experiments/predicates.md"};function l(t,s,E,e,r,d){return h(),a("div",null,s[0]||(s[0]=[k(`

Predicates ​

Exact vs fast predicates

Orient ​

julia
using CairoMakie
+import{_ as i,c as a,o as h,az as k}from"./chunks/framework.mcBEtuSi.js";const n="/GeometryOps.jl/previews/PR259/assets/ywvqbqr.CTgutbHQ.png",y=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),p={name:"experiments/predicates.md"};function l(t,s,E,e,r,d){return h(),a("div",null,s[0]||(s[0]=[k(`
Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
diff --git a/previews/PR259/assets/experiments_predicates.md.CLK_u2-Y.lean.js b/previews/PR259/assets/experiments_predicates.md.CwpeGtcZ.lean.js
similarity index 74%
rename from previews/PR259/assets/experiments_predicates.md.CLK_u2-Y.lean.js
rename to previews/PR259/assets/experiments_predicates.md.CwpeGtcZ.lean.js
index e9ba8c581..510c598e7 100644
--- a/previews/PR259/assets/experiments_predicates.md.CLK_u2-Y.lean.js
+++ b/previews/PR259/assets/experiments_predicates.md.CwpeGtcZ.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as h,az as k}from"./chunks/framework.mcBEtuSi.js";const n="/GeometryOps.jl/previews/PR259/assets/damgmke.CeGTh3mf.png",y=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),p={name:"experiments/predicates.md"};function l(t,s,E,e,r,d){return h(),a("div",null,s[0]||(s[0]=[k("",10)]))}const F=i(p,[["render",l]]);export{y as __pageData,F as default};
+import{_ as i,c as a,o as h,az as k}from"./chunks/framework.mcBEtuSi.js";const n="/GeometryOps.jl/previews/PR259/assets/ywvqbqr.CTgutbHQ.png",y=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),p={name:"experiments/predicates.md"};function l(t,s,E,e,r,d){return h(),a("div",null,s[0]||(s[0]=[k("",10)]))}const F=i(p,[["render",l]]);export{y as __pageData,F as default};
diff --git a/previews/PR259/assets/oryldqg.D5-bot8v.png b/previews/PR259/assets/fytoaiu.D5-bot8v.png
similarity index 100%
rename from previews/PR259/assets/oryldqg.D5-bot8v.png
rename to previews/PR259/assets/fytoaiu.D5-bot8v.png
diff --git a/previews/PR259/assets/bnpxgdd.pAYw0Yqf.png b/previews/PR259/assets/gafzfvd.pAYw0Yqf.png
similarity index 100%
rename from previews/PR259/assets/bnpxgdd.pAYw0Yqf.png
rename to previews/PR259/assets/gafzfvd.pAYw0Yqf.png
diff --git a/previews/PR259/assets/lpkchxq.DaovVbE6.png b/previews/PR259/assets/gahyaod.DaovVbE6.png
similarity index 100%
rename from previews/PR259/assets/lpkchxq.DaovVbE6.png
rename to previews/PR259/assets/gahyaod.DaovVbE6.png
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z@Ulx%79VAngles ​
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 i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/ajrqdho.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return n(),a("div",null,s[0]||(s[0]=[h(`
Angles ​
julia
export angles
What is angles? ​
Angles are the angles formed by a given geometries line segments, if it has line segments.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie, CairoMakie
 
diff --git a/previews/PR259/assets/source_methods_angles.md.BrEpcqfH.lean.js b/previews/PR259/assets/source_methods_angles.md.QSMePFXJ.lean.js
similarity index 87%
rename from previews/PR259/assets/source_methods_angles.md.BrEpcqfH.lean.js
rename to previews/PR259/assets/source_methods_angles.md.QSMePFXJ.lean.js
index 3ed86794d..b51c4222b 100644
--- a/previews/PR259/assets/source_methods_angles.md.BrEpcqfH.lean.js
+++ b/previews/PR259/assets/source_methods_angles.md.QSMePFXJ.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/xllhyfu.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return n(),a("div",null,s[0]||(s[0]=[h("",27)]))}const F=i(k,[["render",t]]);export{y as __pageData,F as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/ajrqdho.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return n(),a("div",null,s[0]||(s[0]=[h("",27)]))}const F=i(k,[["render",t]]);export{y as __pageData,F as default};
diff --git a/previews/PR259/assets/source_methods_area.md.Dah0srf2.js b/previews/PR259/assets/source_methods_area.md.ZZGCMhJb.js
similarity index 99%
rename from previews/PR259/assets/source_methods_area.md.Dah0srf2.js
rename to previews/PR259/assets/source_methods_area.md.ZZGCMhJb.js
index 98ffe2a2d..becebe09b 100644
--- a/previews/PR259/assets/source_methods_area.md.Dah0srf2.js
+++ b/previews/PR259/assets/source_methods_area.md.ZZGCMhJb.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/xllhyfu.Dig-DWOQ.png",e="/GeometryOps.jl/previews/PR259/assets/wzhomjb.CULn5saZ.png",y=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return n(),a("div",null,s[0]||(s[0]=[h(`
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 i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/ajrqdho.Dig-DWOQ.png",e="/GeometryOps.jl/previews/PR259/assets/pbslvov.CULn5saZ.png",y=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return n(),a("div",null,s[0]||(s[0]=[h(`
Area and signed area ​
julia
export area, signed_area
What is area? What is signed area? ​
Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_area.md.Dah0srf2.lean.js b/previews/PR259/assets/source_methods_area.md.ZZGCMhJb.lean.js
similarity index 77%
rename from previews/PR259/assets/source_methods_area.md.Dah0srf2.lean.js
rename to previews/PR259/assets/source_methods_area.md.ZZGCMhJb.lean.js
index a7091ddb6..040a1d747 100644
--- a/previews/PR259/assets/source_methods_area.md.Dah0srf2.lean.js
+++ b/previews/PR259/assets/source_methods_area.md.ZZGCMhJb.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/xllhyfu.Dig-DWOQ.png",e="/GeometryOps.jl/previews/PR259/assets/wzhomjb.CULn5saZ.png",y=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return n(),a("div",null,s[0]||(s[0]=[h("",40)]))}const F=i(l,[["render",p]]);export{y as __pageData,F as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/ajrqdho.Dig-DWOQ.png",e="/GeometryOps.jl/previews/PR259/assets/pbslvov.CULn5saZ.png",y=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return n(),a("div",null,s[0]||(s[0]=[h("",40)]))}const F=i(l,[["render",p]]);export{y as __pageData,F as default};
diff --git a/previews/PR259/assets/source_methods_barycentric.md.FNhm1rob.js b/previews/PR259/assets/source_methods_barycentric.md.SwJFTLbx.js
similarity index 99%
rename from previews/PR259/assets/source_methods_barycentric.md.FNhm1rob.js
rename to previews/PR259/assets/source_methods_barycentric.md.SwJFTLbx.js
index c111b1bc0..6a397e69b 100644
--- a/previews/PR259/assets/source_methods_barycentric.md.FNhm1rob.js
+++ b/previews/PR259/assets/source_methods_barycentric.md.SwJFTLbx.js
@@ -1,4 +1,4 @@
-import{_ as k,c as n,o as h,az as t,j as s,a}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/bnpxgdd.pAYw0Yqf.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
+import{_ as k,c as n,o as h,az as t,j as s,a}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/gafzfvd.pAYw0Yqf.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
 export MeanValue
Generalized barycentric coordinates are a generalization of barycentric coordinates, which are typically used in triangles, to arbitrary polygons.
They provide a way to express a point within a polygon as a weighted average of the polygon's vertices.
`,4)),s("p",null,[i[2]||(i[2]=a("In the case of a triangle, barycentric coordinates are a set of three numbers ")),s("mjx-container",e,[(h(),n("svg",E,i[0]||(i[0]=[t('',1)]))),i[1]||(i[1]=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))]),i[3]||(i[3]=a(", 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[10]||(i[10]=a("For a polygon with ")),s("mjx-container",r,[(h(),n("svg",d,i[4]||(i[4]=[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)]))),i[5]||(i[5]=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))]),i[11]||(i[11]=a(" vertices, generalized barycentric coordinates are a set of ")),s("mjx-container",g,[(h(),n("svg",y,i[6]||(i[6]=[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)]))),i[7]||(i[7]=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))]),i[12]||(i[12]=a(" numbers ")),s("mjx-container",F,[(h(),n("svg",o,i[8]||(i[8]=[t('',1)]))),i[9]||(i[9]=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))]),i[13]||(i[13]=a(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates."))]),i[15]||(i[15]=t(`
As with the triangle case, the weights sum to 1, and each is non-negative.
Example ​
This example was taken from this page of CGAL's documentation.
julia
using GeometryOps
 using GeometryOps.GeometryBasics
 using Makie
diff --git a/previews/PR259/assets/source_methods_barycentric.md.FNhm1rob.lean.js b/previews/PR259/assets/source_methods_barycentric.md.SwJFTLbx.lean.js
similarity index 99%
rename from previews/PR259/assets/source_methods_barycentric.md.FNhm1rob.lean.js
rename to previews/PR259/assets/source_methods_barycentric.md.SwJFTLbx.lean.js
index b79204283..84e3e19ce 100644
--- a/previews/PR259/assets/source_methods_barycentric.md.FNhm1rob.lean.js
+++ b/previews/PR259/assets/source_methods_barycentric.md.SwJFTLbx.lean.js
@@ -1 +1 @@
-import{_ as k,c as n,o as h,az as t,j as s,a}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/bnpxgdd.pAYw0Yqf.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t("",4)),s("p",null,[i[2]||(i[2]=a("In the case of a triangle, barycentric coordinates are a set of three numbers ")),s("mjx-container",e,[(h(),n("svg",E,i[0]||(i[0]=[t("",1)]))),i[1]||(i[1]=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))]),i[3]||(i[3]=a(", 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[10]||(i[10]=a("For a polygon with ")),s("mjx-container",r,[(h(),n("svg",d,i[4]||(i[4]=[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)]))),i[5]||(i[5]=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))]),i[11]||(i[11]=a(" vertices, generalized barycentric coordinates are a set of ")),s("mjx-container",g,[(h(),n("svg",y,i[6]||(i[6]=[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)]))),i[7]||(i[7]=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))]),i[12]||(i[12]=a(" numbers ")),s("mjx-container",F,[(h(),n("svg",o,i[8]||(i[8]=[t("",1)]))),i[9]||(i[9]=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))]),i[13]||(i[13]=a(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates."))]),i[15]||(i[15]=t("",35))])}const b=k(p,[["render",C]]);export{m as __pageData,b as default};
+import{_ as k,c as n,o as h,az as t,j as s,a}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/gafzfvd.pAYw0Yqf.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t("",4)),s("p",null,[i[2]||(i[2]=a("In the case of a triangle, barycentric coordinates are a set of three numbers ")),s("mjx-container",e,[(h(),n("svg",E,i[0]||(i[0]=[t("",1)]))),i[1]||(i[1]=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))]),i[3]||(i[3]=a(", 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[10]||(i[10]=a("For a polygon with ")),s("mjx-container",r,[(h(),n("svg",d,i[4]||(i[4]=[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)]))),i[5]||(i[5]=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))]),i[11]||(i[11]=a(" vertices, generalized barycentric coordinates are a set of ")),s("mjx-container",g,[(h(),n("svg",y,i[6]||(i[6]=[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)]))),i[7]||(i[7]=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))]),i[12]||(i[12]=a(" numbers ")),s("mjx-container",F,[(h(),n("svg",o,i[8]||(i[8]=[t("",1)]))),i[9]||(i[9]=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))]),i[13]||(i[13]=a(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates."))]),i[15]||(i[15]=t("",35))])}const b=k(p,[["render",C]]);export{m as __pageData,b as default};
diff --git a/previews/PR259/assets/source_methods_centroid.md.Dm0OZPBY.js b/previews/PR259/assets/source_methods_centroid.md.DLnq527K.js
similarity index 99%
rename from previews/PR259/assets/source_methods_centroid.md.Dm0OZPBY.js
rename to previews/PR259/assets/source_methods_centroid.md.DLnq527K.js
index d97b7d582..7b2a7bf15 100644
--- a/previews/PR259/assets/source_methods_centroid.md.Dm0OZPBY.js
+++ b/previews/PR259/assets/source_methods_centroid.md.DLnq527K.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/lrsbchc.BD0hVfse.png",k="/GeometryOps.jl/previews/PR259/assets/rknpvdh.DHcwB147.png",o=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),p={name:"source/methods/centroid.md"};function l(e,s,r,E,d,g){return n(),a("div",null,s[0]||(s[0]=[h(`
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 i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/pjrencp.BD0hVfse.png",p="/GeometryOps.jl/previews/PR259/assets/nplnzhx.DHcwB147.png",o=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"};function l(e,s,r,E,d,g){return n(),a("div",null,s[0]||(s[0]=[h(`
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
@@ -6,7 +6,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t
 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)
 scatter!(GI.x(cent), GI.y(cent), color = :red)
-f
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.
The helper functions centroid_and_length and centroid_and_area are made available just in case the user also needs the area or length to decrease repeat computation.
julia
"""
+f
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.
The helper functions centroid_and_length and centroid_and_area are made available just in case the user also needs the area or length to decrease repeat computation.
julia
"""
     centroid(geom, [T=Float64])::Tuple{T, T}
 
 Returns the centroid of a given line segment, linear ring, polygon, or
@@ -90,4 +90,4 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t
     x = (x1 * area1 + x2 * area2) / area
     y = (y1 * area1 + y2 * area2) / area
     return (x, y), area
-end
This page was generated using Literate.jl.
`,57)]))}const c=i(p,[["render",l]]);export{o as __pageData,c as default};
+end
This page was generated using Literate.jl.
`,57)]))}const c=i(k,[["render",l]]);export{o as __pageData,c as default};
diff --git a/previews/PR259/assets/source_methods_centroid.md.Dm0OZPBY.lean.js b/previews/PR259/assets/source_methods_centroid.md.DLnq527K.lean.js
similarity index 56%
rename from previews/PR259/assets/source_methods_centroid.md.Dm0OZPBY.lean.js
rename to previews/PR259/assets/source_methods_centroid.md.DLnq527K.lean.js
index 7fd6906d0..77956ad1a 100644
--- a/previews/PR259/assets/source_methods_centroid.md.Dm0OZPBY.lean.js
+++ b/previews/PR259/assets/source_methods_centroid.md.DLnq527K.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/lrsbchc.BD0hVfse.png",k="/GeometryOps.jl/previews/PR259/assets/rknpvdh.DHcwB147.png",o=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),p={name:"source/methods/centroid.md"};function l(e,s,r,E,d,g){return n(),a("div",null,s[0]||(s[0]=[h("",57)]))}const c=i(p,[["render",l]]);export{o as __pageData,c as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/pjrencp.BD0hVfse.png",p="/GeometryOps.jl/previews/PR259/assets/nplnzhx.DHcwB147.png",o=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"};function l(e,s,r,E,d,g){return n(),a("div",null,s[0]||(s[0]=[h("",57)]))}const c=i(k,[["render",l]]);export{o as __pageData,c as default};
diff --git a/previews/PR259/assets/source_methods_clipping_clipping_processor.md.ChDFCqHs.js b/previews/PR259/assets/source_methods_clipping_clipping_processor.md.CVJUFgvw.js
similarity index 81%
rename from previews/PR259/assets/source_methods_clipping_clipping_processor.md.ChDFCqHs.js
rename to previews/PR259/assets/source_methods_clipping_clipping_processor.md.CVJUFgvw.js
index 696d07fce..ce6796088 100644
--- a/previews/PR259/assets/source_methods_clipping_clipping_processor.md.ChDFCqHs.js
+++ b/previews/PR259/assets/source_methods_clipping_clipping_processor.md.CVJUFgvw.js
@@ -1,4 +1,40 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),t={name:"source/methods/clipping/clipping_processor.md"};function p(l,s,k,e,E,d){return n(),a("div",null,s[0]||(s[0]=[h(`
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 i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),t={name:"source/methods/clipping/clipping_processor.md"};function l(p,s,k,e,E,r){return n(),a("div",null,s[0]||(s[0]=[h(`
Polygon clipping helpers ​
This file contains the shared helper functions for the polygon clipping functionalities.
This file specifically defines helpers for the Foster-Hormann clipping algorithm.
julia
"""
+    abstract type IntersectionAccelerator
+
+The abstract supertype for all intersection accelerator types.
+
+The idea is that these speed up the edge-edge intersection checking process,
+perhaps at the cost of memory.
+
+The naive case is \`NestedLoop\`, which is just a nested loop, running in O(n*m) time.
+
+Then we have \`SingleSTRtree\`, which is a single STRtree, running in O(n*log(m)) time.
+
+Then we have \`DoubleSTRtree\`, which is am simultaneous double-tree traversal of two STRtrees.
+
+Finally, we have \`AutoAccelerator\`, which is an automatic accelerator that chooses the best
+accelerator based on the size of the input polygons.  This gets materialized in build_a_list for now.
+"""
+abstract type IntersectionAccelerator end
+struct NestedLoop <: IntersectionAccelerator end
+struct SingleSTRtree <: IntersectionAccelerator end
+struct DoubleSTRtree <: IntersectionAccelerator end
+struct AutoAccelerator <: IntersectionAccelerator end
+
+"""
+    FosterHormannClipping{M <: Manifold, A <: Union{Nothing, Accelerator}} <: GeometryOpsCore.Algorithm{M}
+
+A type that represents the Foster-Hormann clipping algorithm.
Arguments
julia
- \`manifold::M\`: The manifold on which the algorithm operates.
+- \`accelerator::A\`: The accelerator to use for the algorithm.  Can be \`nothing\` for automatic choice, or a custom accelerator.
+"""
+struct FosterHormannClipping{M <: Manifold, A <: IntersectionAccelerator} <: GeometryOpsCore.Algorithm{M}
+    manifold::M
+    accelerator::A
TODO: add exact flag TODO: should exact flag be in the type domain?
julia
end
+
+
+FosterHormannClipping(; manifold::Manifold = Planar(), accelerator = nothing) = FosterHormannClipping(manifold, isnothing(accelerator) ? AutoAccelerator() : accelerator)
+FosterHormannClipping(manifold::Manifold, accelerator::Union{Nothing, IntersectionAccelerator} = nothing) = FosterHormannClipping(manifold, isnothing(accelerator) ? AutoAccelerator() : accelerator)
+FosterHormannClipping(accelerator::Union{Nothing, IntersectionAccelerator}) = FosterHormannClipping(Planar(), isnothing(accelerator) ? AutoAccelerator() : accelerator)
special case for spherical / geodesic manifolds since they can't use STRtrees (because those don't work on the sphere)
julia
FosterHormannClipping(manifold::Union{Spherical, Geodesic}, accelerator::Union{Nothing, IntersectionAccelerator} = nothing) = FosterHormannClipping(manifold, isnothing(accelerator) ? NestedLoop() : (accelerator isa AutoAccelerator ? NestedLoop() : accelerator))
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
@@ -34,31 +70,75 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
 GI.ncoord(::GI.PointTrait, p::PolyNode{T}) where T = 2 # TODO: change this to accomodate 3D spherical points
 GI.getcoord(::GI.PointTrait, p::PolyNode{T}, i::Int) where T = p.point[i]
 GI.crs(p::PolyNode{T}) where T = nothing # TODO: change this to accomodate 3D spherical points
Checks equality of two PolyNodes by backing point value, fractional value, and intersection status
julia
equals(pn1::PolyNode, pn2::PolyNode) = pn1.point == pn2.point && pn1.inter == pn2.inter && pn1.fracs == pn2.fracs
-Base.:(==)(pn1::PolyNode, pn2::PolyNode) = equals(pn1, pn2)
_build_ab_list(::Type{T}, poly_a, poly_b, delay_cross_f, delay_bounce_f; exact) ->
-    (a_list, b_list, a_idx_list)
This function takes in two polygon rings and calls '_build_a_list', '_build_b_list', and '_flag_ent_exit' in order to fully form a_list and b_list. The 'a_list' and 'b_list' that it returns are the fully updated vectors of PolyNodes that represent the rings 'poly_a' and 'poly_b', respectively. This function also returns 'a_idx_list', which at its "ith" index stores the index in 'a_list' at which the "ith" intersection point lies.
julia
function _build_ab_list(::Type{T}, poly_a, poly_b, delay_cross_f::F1, delay_bounce_f::F2; exact) where {T, F1, F2}
Make a list for nodes of each polygon
julia
    a_list, a_idx_list, n_b_intrs = _build_a_list(T, poly_a, poly_b; exact)
-    b_list = _build_b_list(T, a_idx_list, a_list, n_b_intrs, poly_b)
Flag crossings
julia
    _classify_crossing!(T, a_list, b_list; exact)
Flag the entry and exits
julia
    _flag_ent_exit!(T, GI.LinearRingTrait(), poly_b, a_list, delay_cross_f, Base.Fix2(delay_bounce_f, true); exact)
-    _flag_ent_exit!(T, GI.LinearRingTrait(), poly_a, b_list, delay_cross_f, Base.Fix2(delay_bounce_f, false); exact)
Set node indices and filter a_idx_list to just crossing points
julia
    _index_crossing_intrs!(a_list, b_list, a_idx_list)
+Base.:(==)(pn1::PolyNode, pn2::PolyNode) = equals(pn1, pn2)
Finally, we define a nice error type for when the clipping tracing algorithm hits every point in a polygon. This stores the polygons, the a_list, and the b_list, and the a_idx_list. allowing the user to understand what happened and why.
julia
"""
+    TracingHitEveryPointError{T1, T2} <: Exception
+
+An error that is thrown when the clipping tracing algorithm hits every point in a polygon.
+This is a bug in the algorithm, and should be reported.
+
+The polygons are contained in the exception object, accessible by try-catch or as \`err\` in the REPL.
+"""
+struct TracingHitEveryPointError{T1, T2, T} <: Exception
+    poly_a::T1
+    poly_b::T2
+    a_list::Vector{PolyNode{T}}
+    b_list::Vector{PolyNode{T}}
+    a_idx_list::Vector{Int}
+end
+
+function Base.showerror(io::IO, e::TracingHitEveryPointError{T1, T2}) where {T1, T2}
+    println(io, "TracingHitEveryPointError: Clipping tracing hit every point - clipping error. Please open an issue with the polygons contained in this error object.")
+    println(io)
+    if max(GI.npoint(e.poly_a), GI.npoint(e.poly_b)) < 10
+        println(io, "Polygon A:")
+        println(io, GI.coordinates(e.poly_a))
+        println(io)
+        println(io, "Polygon B:")
+        println(io, GI.coordinates(e.poly_b))
+    else
+        println(io, "The polygons are contained in the exception object, accessible by try-catch or as \`err\` in the REPL.")
+    end
+end
_build_ab_list(::Type{T}, poly_a, poly_b, delay_cross_f, delay_bounce_f; exact) ->
+    (a_list, b_list, a_idx_list)
This function takes in two polygon rings and calls '_build_a_list', '_build_b_list', and '_flag_ent_exit' in order to fully form a_list and b_list. The 'a_list' and 'b_list' that it returns are the fully updated vectors of PolyNodes that represent the rings 'poly_a' and 'poly_b', respectively. This function also returns 'a_idx_list', which at its "ith" index stores the index in 'a_list' at which the "ith" intersection point lies.
julia
function _build_ab_list(alg::FosterHormannClipping, ::Type{T}, poly_a, poly_b, delay_cross_f::F1, delay_bounce_f::F2; exact) where {T, F1, F2}
Make a list for nodes of each polygon
julia
    a_list, a_idx_list, n_b_intrs = _build_a_list(alg, T, poly_a, poly_b; exact)
+    b_list = _build_b_list(alg, T, a_idx_list, a_list, n_b_intrs, poly_b)
Flag crossings
julia
    _classify_crossing!(alg, T, a_list, b_list; exact)
Flag the entry and exits
julia
    _flag_ent_exit!(alg, T, GI.LinearRingTrait(), poly_b, a_list, delay_cross_f, Base.Fix2(delay_bounce_f, true); exact)
+    _flag_ent_exit!(alg, T, GI.LinearRingTrait(), poly_a, b_list, delay_cross_f, Base.Fix2(delay_bounce_f, false); exact)
Set node indices and filter a_idx_list to just crossing points
julia
    _index_crossing_intrs!(alg, a_list, b_list, a_idx_list)
 
     return a_list, b_list, a_idx_list
 end
 
 "The number of vertices past which we should use a STRtree for edge intersection checking."
-const GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS = 75
+const GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS = 75
Fallback convenience method so we can just pass the algorithm in
julia
function foreach_pair_of_maybe_intersecting_edges_in_order(
+    alg::FosterHormannClipping{M, A}, f_on_each_a::FA, f_after_each_a::FAAfter, f_on_each_maybe_intersect::FI, poly_a, poly_b, _t::Type{T} = Float64
+) where {FA, FAAfter, FI, T, M, A}
+    return foreach_pair_of_maybe_intersecting_edges_in_order(alg.manifold, alg.accelerator, f_on_each_a, f_after_each_a, f_on_each_maybe_intersect, poly_a, poly_b, T)
+end
+
 function foreach_pair_of_maybe_intersecting_edges_in_order(
-    f_on_each_a::FA, f_after_each_a::FAAfter, f_on_each_maybe_intersect::FI, poly_a, poly_b, _t::Type{T} = Float64
-) where {FA, FAAfter, FI, T}
TODO: dispatch on manifold this is suitable for planar but spherical / geodesic will need s2 support at some point, or – even now – just buffering
julia
    na = GI.npoint(poly_a)
+    manifold::M, accelerator::A, f_on_each_a::FA, f_after_each_a::FAAfter, f_on_each_maybe_intersect::FI, poly_a, poly_b, _t::Type{T} = Float64
+) where {FA, FAAfter, FI, T, M <: Manifold, A <: IntersectionAccelerator}
TODO: dispatch on manifold this is suitable for planar but spherical / geodesic will need s2 support at some point, or – even now – just buffering
julia
    na = GI.npoint(poly_a)
     nb = GI.npoint(poly_b)
 
+    accelerator = if accelerator isa AutoAccelerator
+        if na < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
+            NestedLoop()
+        elseif na < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb > GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
+            SingleSTRtree()
+        else
+            DoubleSTRtree()
+        end
+    else
+        accelerator
+    end
 
-    if na < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
if we don't have enough vertices in either of the polygons to merit an STRtree, then we can just do a simple nested loop this becomes extremely useful in e.g. regridding, where we know the polygon will only ever have a few vertices. This is also applicable to any manifold, since the checking is done within the loop. First, loop over "each edge" in poly_a
julia
        for (i, (a1t, a2t)) in enumerate(eachedge(poly_a, T))
+    if accelerator isa NestedLoop
if we don't have enough vertices in either of the polygons to merit an STRtree, then we can just do a simple nested loop this becomes extremely useful in e.g. regridding, where we know the polygon will only ever have a few vertices. This is also applicable to any manifold, since the checking is done within the loop. First, loop over "each edge" in poly_a
julia
        for (i, (a1t, a2t)) in enumerate(eachedge(poly_a, T))
             a1t == a2t && continue
             f_on_each_a(a1t, i)
             for (j, (b1t, b2t)) in enumerate(eachedge(poly_b, T))
                 b1t == b2t && continue
-                LoopStateMachine.@processloopaction f_on_each_maybe_intersect(((a1t, a2t), i), ((b1t, b2t), j))
+                LoopStateMachine.@processloopaction f_on_each_maybe_intersect(((a1t, a2t), i), ((b1t, b2t), j)) # this should be aware of manifold by construction.
             end
             f_after_each_a(a1t, i)
-        end
And we're done!
julia
    elseif na < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb > GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
This is the "middle ground" case - run only a strtree on poly_b without doing so on poly_a. This is less complex than running a dual tree traversal, and reduces the overhead of constructing an edge list and tree on poly_a.
julia
        ext_a, ext_b = GI.extent(poly_a), GI.extent(poly_b)
+        end
And we're done!
julia
    elseif accelerator isa SingleSTRtree
This is the "middle ground" case - run only a strtree on poly_b without doing so on poly_a. This is less complex than running a dual tree traversal, and reduces the overhead of constructing an edge list and tree on poly_a.
julia
        ext_a, ext_b = GI.extent(poly_a), GI.extent(poly_b)
         edges_b, indices_b = to_edgelist(ext_a, poly_b, T)
         tree_b = STRtree(edges_b)
Loop over each vertex in poly_a
julia
        for (i, (a1t, a2t)) in enumerate(eachedge(poly_a, T))
             a1t == a2t && continue
@@ -77,7 +157,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
             end
             f_after_each_a(a1t, i)
         end
-    elseif na >= GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb >= GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
If both of the polygons are quite large, then we do a dual-tree traversal of the STRtrees and find all potentially overlapping edges. This is kind of like an adjacency list of a graph or a sparse matrix that we're constructing.
First, we materialize an edge list for each polygon as a vector of GI.Line objects.
julia
        ext_a = GI.extent(poly_a)
+    elseif accelerator isa DoubleSTRtree
If both of the polygons are quite large, then we do a dual-tree traversal of the STRtrees and find all potentially overlapping edges. This is kind of like an adjacency list of a graph or a sparse matrix that we're constructing.
First, we materialize an edge list for each polygon as a vector of GI.Line objects.
julia
        ext_a = GI.extent(poly_a)
         ext_b = GI.extent(poly_b)
         edges_a, indices_a = to_edgelist(ext_b, poly_a, T) # ::Vector{GI.Line} # with precalculated extents
         edges_b, indices_b = to_edgelist(ext_a, poly_b, T) # ::Vector{GI.Line} # with precalculated extents
Now, construct STRtrees from the edge lists. TODO: we can optimize the strtrees by passing in only edges that reside within the area of extent overlap between poly_a and poly_b. this would greatly help for e.g. coverage transactions BUT this needs fixes in SortTileRecursiveTree.jl to allow you to pass in a vector of indices as well as extents / geometries.
julia
        tree_a = STRtree(edges_a)
@@ -109,12 +189,11 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
 
             last_a_idx_orig = a_idx_orig
 
-        end
-    end
+        end
println("DOUBLE TREE TRAVERSAL")
julia
    end
 
     return nothing
 
-end
_build_a_list(::Type{T}, poly_a, poly_b) -> (a_list, a_idx_list)
This function take in two polygon rings and creates a vector of PolyNodes to represent poly_a, including its intersection points with poly_b. The information stored in each PolyNode is needed for clipping using the Greiner-Hormann clipping algorithm.
Note: After calling this function, a_list is not fully formed because the neighboring indices of the intersection points in b_list still need to be updated. Also we still have not update the entry and exit flags for a_list.
The a_idx_list is a list of the indices of intersection points in a_list. The value at index i of a_idx_list is the location in a_list where the ith intersection point lies.
julia
function _build_a_list(::Type{T}, poly_a, poly_b; exact) where T
+end
_build_a_list(::Type{T}, poly_a, poly_b) -> (a_list, a_idx_list)
This function take in two polygon rings and creates a vector of PolyNodes to represent poly_a, including its intersection points with poly_b. The information stored in each PolyNode is needed for clipping using the Greiner-Hormann clipping algorithm.
Note: After calling this function, a_list is not fully formed because the neighboring indices of the intersection points in b_list still need to be updated. Also we still have not update the entry and exit flags for a_list.
The a_idx_list is a list of the indices of intersection points in a_list. The value at index i of a_idx_list is the location in a_list where the ith intersection point lies.
julia
function _build_a_list(alg::FosterHormannClipping{M, A}, ::Type{T}, poly_a, poly_b; exact) where {T, M, A}
     n_a_edges = _nedge(poly_a)
     a_list = PolyNode{T}[]  # list of points in poly_a
     sizehint!(a_list, n_a_edges)
@@ -143,7 +222,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
         if (b_pt1 == b_pt2)  # don't repeat points
             b_pt1 = b_pt2
             return
-        end
Determine if edges intersect and how they intersect
julia
        line_orient, intr1, intr2 = _intersection_point(T, (a_pt1, a_pt2), (b_pt1, b_pt2); exact)
+        end
Determine if edges intersect and how they intersect
julia
        line_orient, intr1, intr2 = _intersection_point(alg.manifold, T, (a_pt1, a_pt2), (b_pt1, b_pt2); exact)
         if line_orient != line_out  # edges intersect
             if line_orient == line_cross  # Intersection point that isn't a vertex
                 int_pt, fracs = intr1
@@ -198,10 +277,10 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
     end
     \`\`\`
     =#
-    foreach_pair_of_maybe_intersecting_edges_in_order(on_each_a, after_each_a, on_each_maybe_intersect, poly_a, poly_b, T)
+    foreach_pair_of_maybe_intersecting_edges_in_order(alg, on_each_a, after_each_a, on_each_maybe_intersect, poly_a, poly_b, T)
 
     return a_list, a_idx_list, n_b_intrs
-end
_build_b_list(::Type{T}, a_idx_list, a_list, poly_b) -> b_list
This function takes in the a_list and a_idx_list build in _build_a_list and poly_b and creates a vector of PolyNodes to represent poly_b. The information stored in each PolyNode is needed for clipping using the Greiner-Hormann clipping algorithm.
Note: after calling this function, b_list is not fully updated. The entry/exit flags still need to be updated. However, the neighbor value in a_list is now updated.
julia
function _build_b_list(::Type{T}, a_idx_list, a_list, n_b_intrs, poly_b) where T
Sort intersection points by insertion order in b_list
julia
    sort!(a_idx_list, by = x-> a_list[x].neighbor + a_list[x].fracs[2])
Initialize needed values and lists
julia
    n_b_edges = _nedge(poly_b)
+end
_build_b_list(::Type{T}, a_idx_list, a_list, poly_b) -> b_list
This function takes in the a_list and a_idx_list build in _build_a_list and poly_b and creates a vector of PolyNodes to represent poly_b. The information stored in each PolyNode is needed for clipping using the Greiner-Hormann clipping algorithm.
Note: after calling this function, b_list is not fully updated. The entry/exit flags still need to be updated. However, the neighbor value in a_list is now updated.
julia
function _build_b_list(alg::FosterHormannClipping{M, A}, ::Type{T}, a_idx_list, a_list, n_b_intrs, poly_b) where {T, M, A}
Sort intersection points by insertion order in b_list
julia
    sort!(a_idx_list, by = x-> a_list[x].neighbor + a_list[x].fracs[2])
Initialize needed values and lists
julia
    n_b_edges = _nedge(poly_b)
     n_intr_pts = length(a_idx_list)
     b_list = PolyNode{T}[]
     sizehint!(b_list, n_b_edges + n_b_intrs)
@@ -240,7 +319,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
     end
     sort!(a_idx_list)  # return a_idx_list to order of points in a_list
     return b_list
-end
_classify_crossing!(T, poly_b, a_list; exact)
This function marks all intersection points as either bouncing or crossing points. "Delayed" crossing or bouncing intersections (a chain of edges where the central edges overlap and thus only the first and last edge of the chain determine if the chain is bounding or crossing) are marked as follows: the first and the last points are marked as crossing if the chain is crossing and delayed otherwise and all middle points are marked as bouncing. Additionally, the start and end points of the chain are marked as endpoints using the endpoints field.
julia
function _classify_crossing!(::Type{T}, a_list, b_list; exact) where T
+end
_classify_crossing!(T, poly_b, a_list; exact)
This function marks all intersection points as either bouncing or crossing points. "Delayed" crossing or bouncing intersections (a chain of edges where the central edges overlap and thus only the first and last edge of the chain determine if the chain is bounding or crossing) are marked as follows: the first and the last points are marked as crossing if the chain is crossing and delayed otherwise and all middle points are marked as bouncing. Additionally, the start and end points of the chain are marked as endpoints using the endpoints field.
julia
function _classify_crossing!(alg::FosterHormannClipping{M, A}, ::Type{T}, a_list, b_list; exact) where {T, M, A}
     napts = length(a_list)
     nbpts = length(b_list)
start centered on last point
julia
    a_prev = a_list[end - 1]
     curr_pt = a_list[end]
@@ -254,7 +333,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
             b_next = j == nbpts ? b_list[1] : b_list[j+1]
determine if any segments are on top of one another
julia
            a_prev_is_b_prev = a_prev.inter && equals(a_prev, b_prev)
             a_prev_is_b_next = a_prev.inter && equals(a_prev, b_next)
             a_next_is_b_prev = a_next.inter && equals(a_next, b_prev)
-            a_next_is_b_next = a_next.inter && equals(a_next, b_next)
determine which side of a segments the p points are on
julia
            b_prev_side, b_next_side = _get_sides(b_prev, b_next, a_prev, curr_pt, a_next,
+            a_next_is_b_next = a_next.inter && equals(a_next, b_next)
determine which side of a segments the p points are on
julia
            b_prev_side, b_next_side = _get_sides(#=TODO: alg.manifold, =#b_prev, b_next, a_prev, curr_pt, a_next,
                 i, j, a_list, b_list; exact)
no sides overlap
julia
            if !a_prev_is_b_prev && !a_prev_is_b_next && !a_next_is_b_prev && !a_next_is_b_next
                 if b_prev_side != b_next_side  # lines cross
                     a_list[i] = PolyNode(curr_pt; crossing = true)
@@ -372,7 +451,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
 or a crossing point that isn't in a chain. Then take the midpoint of this point and the next
 point in the list and perform the in/out check. If none of these points exist, return
 a \`next_idx\` of \`nothing\`. =#
-function _pt_off_edge_status(::Type{T}, pt_list, poly, npts; exact) where T
+function _pt_off_edge_status(alg::FosterHormannClipping{M, A}, ::Type{T}, pt_list, poly, npts; exact) where {T, M, A}
     start_idx, is_non_intr_pt = findfirst(_is_not_intr, pt_list), true
     if isnothing(start_idx)
         start_idx, is_non_intr_pt = findfirst(_next_edge_off, pt_list), false
@@ -384,14 +463,14 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
     else
         (pt_list[start_idx].point .+ pt_list[next_idx].point) ./ 2
     end
-    start_status = !_point_filled_curve_orientation(start_pt, poly; in = true, on = false, out = false, exact)
+    start_status = !_point_filled_curve_orientation(#=TODO: alg.manifold=#start_pt, poly; in = true, on = false, out = false, exact)
     return next_idx, start_status
 end
Check if a PolyNode is an intersection point
julia
_is_not_intr(pt) = !pt.inter
 #= Check if a PolyNode is the last point of a chain or a non-overlapping crossing point.
 The next midpoint of one of these points and the next point within a polygon must not be on
 the polygon edge. =#
-_next_edge_off(pt) = (pt.endpoint == end_chain) || (pt.crossing && pt.endpoint == not_endpoint)
_flag_ent_exit!(::Type{T}, ::GI.LinearRingTrait, poly, pt_list, delay_cross_f, delay_bounce_f; exact)
This function flags all the intersection points as either an 'entry' or 'exit' point in relation to the given polygon. For non-delayed crossings we simply alternate the enter/exit status. This also holds true for the first and last points of a delayed bouncing, where they both have an opposite entry/exit flag. Conversely, the first and last point of a delayed crossing have the same entry/exit status. Furthermore, the crossing/bouncing flag of delayed crossings and bouncings may be updated. This depends on function specific rules that determine which of the start or end points (if any) should be marked as crossing for used during polygon tracing. A consistent rule is that the start and end points of a delayed crossing will have different crossing/bouncing flags, while a the endpoints of a delayed bounce will be the same.
Used for clipping polygons by other polygons.
julia
function _flag_ent_exit!(::Type{T}, ::GI.LinearRingTrait, poly, pt_list, delay_cross_f, delay_bounce_f; exact) where T
-    npts = length(pt_list)
Find starting index if there is one
julia
    next_idx, status = _pt_off_edge_status(T, pt_list, poly, npts; exact)
+_next_edge_off(pt) = (pt.endpoint == end_chain) || (pt.crossing && pt.endpoint == not_endpoint)
_flag_ent_exit!(::Type{T}, ::GI.LinearRingTrait, poly, pt_list, delay_cross_f, delay_bounce_f; exact)
This function flags all the intersection points as either an 'entry' or 'exit' point in relation to the given polygon. For non-delayed crossings we simply alternate the enter/exit status. This also holds true for the first and last points of a delayed bouncing, where they both have an opposite entry/exit flag. Conversely, the first and last point of a delayed crossing have the same entry/exit status. Furthermore, the crossing/bouncing flag of delayed crossings and bouncings may be updated. This depends on function specific rules that determine which of the start or end points (if any) should be marked as crossing for used during polygon tracing. A consistent rule is that the start and end points of a delayed crossing will have different crossing/bouncing flags, while a the endpoints of a delayed bounce will be the same.
Used for clipping polygons by other polygons.
julia
function _flag_ent_exit!(alg::FosterHormannClipping{M, A}, ::Type{T}, ::GI.LinearRingTrait, poly, pt_list, delay_cross_f, delay_bounce_f; exact) where {T, M, A}
+    npts = length(pt_list)
Find starting index if there is one
julia
    next_idx, status = _pt_off_edge_status(alg, T, pt_list, poly, npts; exact)
     isnothing(next_idx) && return
     start_idx = next_idx - 1
Loop over points and mark entry and exit status
julia
    start_chain_idx = 0
     for ii in Iterators.flatten((next_idx:npts, 1:start_idx))
@@ -409,7 +488,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
                 else  # delayed bouncing
                     next_idx = ii < npts ? (ii + 1) : 1
                     next_val = (curr_pt.point .+ pt_list[next_idx].point) ./ 2
-                    pt_in_poly = _point_filled_curve_orientation(next_val, poly; in = true, on = false, out = false, exact)
+                    pt_in_poly = _point_filled_curve_orientation(#=TODO: alg.manifold=#next_val, poly; in = true, on = false, out = false, exact)
                     #= start and end crossing status are the same and depend on if adjacent
                     edges of pt_list are within poly =#
                     start_crossing = delay_bounce_f(pt_in_poly)
@@ -424,8 +503,8 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
         end
     end
     return
-end
_flag_ent_exit!(::GI.LineTrait, line, pt_list; exact)
This function flags all the intersection points as either an 'entry' or 'exit' point in relation to the given line. Returns true if there are crossing points to classify, else returns false. Used for cutting polygons by lines.
Assumes that the first point is outside of the polygon and not on an edge.
julia
function _flag_ent_exit!(::GI.LineTrait, poly, pt_list; exact)
-    status = !_point_filled_curve_orientation(pt_list[1].point, poly; in = true, on = false, out = false, exact)
Loop over points and mark entry and exit status
julia
    for (ii, curr_pt) in enumerate(pt_list)
+end
_flag_ent_exit!(::GI.LineTrait, line, pt_list; exact)
This function flags all the intersection points as either an 'entry' or 'exit' point in relation to the given line. Returns true if there are crossing points to classify, else returns false. Used for cutting polygons by lines.
Assumes that the first point is outside of the polygon and not on an edge.
julia
function _flag_ent_exit!(alg::FosterHormannClipping{M, A}, ::GI.LineTrait, poly, pt_list; exact) where {M, A}
+    status = !_point_filled_curve_orientation(#=TODO: alg.manifold=#pt_list[1].point, poly; in = true, on = false, out = false, exact)
Loop over points and mark entry and exit status
julia
    for (ii, curr_pt) in enumerate(pt_list)
         if curr_pt.crossing
             pt_list[ii] = PolyNode(curr_pt; ent_exit = status)
             status = !status
@@ -436,7 +515,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
 
 #= Filters a_idx_list to just include crossing points and sets the index of all crossing
 points (which element they correspond to within a_idx_list). =#
-function _index_crossing_intrs!(a_list, b_list, a_idx_list)
+function _index_crossing_intrs!(alg::FosterHormannClipping{M, A}, a_list, b_list, a_idx_list) where {M, A}
     filter!(x -> a_list[x].crossing, a_idx_list)
     for (i, a_idx) in enumerate(a_idx_list)
         curr_node = a_list[a_idx]
@@ -445,7 +524,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
         b_list[curr_node.neighbor] = PolyNode(neighbor_node; idx = i)
     end
     return
-end
_trace_polynodes(::Type{T}, a_list, b_list, a_idx_list, f_step)::Vector{GI.Polygon}
This function takes the outputs of _build_ab_list and traces the lists to determine which polygons are formed as described in Greiner and Hormann. The function f_step determines in which direction the lists are traced. This function is different for intersection, difference, and union. f_step must take in two arguments: the most recent intersection node's entry/exit status and a boolean that is true if we are currently tracing a_list and false if we are tracing b_list. The functions used for each clipping operation are follows: - Intersection: (x, y) -> x ? 1 : (-1) - Difference: (x, y) -> (x ⊻ y) ? 1 : (-1) - Union: (x, y) -> x ? (-1) : 1
A list of GeoInterface polygons is returned from this function.
Note: poly_a and poly_b are temporary inputs used for debugging and can be removed eventually.
julia
function _trace_polynodes(::Type{T}, a_list, b_list, a_idx_list, f_step, poly_a, poly_b) where T
+end
_trace_polynodes(::Type{T}, a_list, b_list, a_idx_list, f_step)::Vector{GI.Polygon}
This function takes the outputs of _build_ab_list and traces the lists to determine which polygons are formed as described in Greiner and Hormann. The function f_step determines in which direction the lists are traced. This function is different for intersection, difference, and union. f_step must take in two arguments: the most recent intersection node's entry/exit status and a boolean that is true if we are currently tracing a_list and false if we are tracing b_list. The functions used for each clipping operation are follows: - Intersection: (x, y) -> x ? 1 : (-1) - Difference: (x, y) -> (x ⊻ y) ? 1 : (-1) - Union: (x, y) -> x ? (-1) : 1
A list of GeoInterface polygons is returned from this function.
Note: poly_a and poly_b are temporary inputs used for debugging and can be removed eventually.
julia
function _trace_polynodes(alg::FosterHormannClipping{M, A}, ::Type{T}, a_list, b_list, a_idx_list, f_step, poly_a, poly_b) where {T, M, A}
     n_a_pts, n_b_pts = length(a_list), length(b_list)
     total_pts = n_a_pts + n_b_pts
     n_cross_pts = length(a_idx_list)
@@ -466,7 +545,9 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
         while curr_not_start
             step = f_step(curr.ent_exit, on_a_list)
changed curr_not_intr to curr_not_same_ent_flag
julia
            same_status, prev_status = true, curr.ent_exit
             while same_status
-                @assert visited_pts < total_pts "Clipping tracing hit every point - clipping error. Please open an issue with polygons: $(GI.coordinates(poly_a)) and $(GI.coordinates(poly_b))."
Traverse polygon either forwards or backwards
julia
                idx += step
+                if visited_pts >= total_pts
+                    throw(TracingHitEveryPointError(poly_a, poly_b, a_list, b_list, a_idx_list))
+                end
Traverse polygon either forwards or backwards
julia
                idx += step
                 idx = (idx > curr_npoints) ? mod(idx, curr_npoints) : idx
                 idx = (idx == 0) ? curr_npoints : idx
Get current node and add to pt_list
julia
                curr = curr_list[idx]
                 push!(pt_list, curr.point)
@@ -500,7 +581,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
     a_in_b = a_pt_orient != point_out && b_pt_orient != point_in
     b_in_a = b_pt_orient != point_out && a_pt_orient != point_in
     return a_in_b, b_in_a
-end
_add_holes_to_polys!(::Type{T}, return_polys, hole_iterator, remove_poly_idx; exact)
The holes specified by the hole iterator are added to the polygons in the return_polys list. If this creates more polygons, they are added to the end of the list. If this removes polygons, they are removed from the list
julia
function _add_holes_to_polys!(::Type{T}, return_polys, hole_iterator, remove_poly_idx; exact) where T
+end
_add_holes_to_polys!(::Type{T}, return_polys, hole_iterator, remove_poly_idx; exact)
The holes specified by the hole iterator are added to the polygons in the return_polys list. If this creates more polygons, they are added to the end of the list. If this removes polygons, they are removed from the list
julia
function _add_holes_to_polys!(alg::FosterHormannClipping{M, A}, ::Type{T}, return_polys, hole_iterator, remove_poly_idx; exact) where {T, M, A}
     n_polys = length(return_polys)
     remove_hole_idx = Int[]
Remove set of holes from all polygons
julia
    for i in 1:n_polys
         n_new_per_poly = 0
@@ -509,9 +590,9 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
                 curr_poly = return_polys[j]
                 remove_poly_idx[j] && continue
                 curr_poly_ext = GI.nhole(curr_poly) > 0 ? GI.Polygon(StaticArrays.SVector(GI.getexterior(curr_poly))) : curr_poly
-                in_ext, on_ext, out_ext = _line_polygon_interactions(curr_hole, curr_poly_ext; exact, closed_line = true)
+                in_ext, on_ext, out_ext = _line_polygon_interactions(#=TODO: alg.manifold=#curr_hole, curr_poly_ext; exact, closed_line = true)
                 if in_ext  # hole is at least partially within the polygon's exterior
-                    new_hole, new_hole_poly, n_new_pieces = _combine_holes!(T, curr_hole, curr_poly, return_polys, remove_hole_idx)
+                    new_hole, new_hole_poly, n_new_pieces = _combine_holes!(alg, T, curr_hole, curr_poly, return_polys, remove_hole_idx)
                     if n_new_pieces > 0
                         append!(remove_poly_idx, falses(n_new_pieces))
                         n_new_per_poly += n_new_pieces
@@ -519,7 +600,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
                     if !on_ext && !out_ext  # hole is completely within exterior
                         push!(curr_poly.geom, new_hole)
                     else  # hole is partially within and outside of polygon's exterior
-                        new_polys = difference(curr_poly_ext, new_hole_poly, T; target=GI.PolygonTrait())
+                        new_polys = difference(#=TODO: alg=#curr_poly_ext, new_hole_poly, T; target=GI.PolygonTrait())
                         n_new_polys = length(new_polys) - 1
replace original
julia
                        curr_poly.geom[1] = GI.getexterior(new_polys[1])
                         append!(curr_poly.geom, GI.gethole(new_polys[1]))
                         if n_new_polys > 0  # add any extra pieces
@@ -527,7 +608,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
                             append!(remove_poly_idx, falses(n_new_polys))
                             n_new_per_poly += n_new_polys
                         end
-                    end
polygon is completely within hole
julia
                elseif coveredby(curr_poly_ext, GI.Polygon(StaticArrays.SVector(curr_hole)))
+                    end
polygon is completely within hole
julia
                elseif coveredby(#=TODO: alg.manifold=#curr_poly_ext, GI.Polygon(StaticArrays.SVector(curr_hole)))
                     remove_poly_idx[j] = true
                 end
             end
@@ -535,12 +616,12 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
         n_polys += n_new_per_poly
     end
Remove all polygon that were marked for removal
julia
    deleteat!(return_polys, remove_poly_idx)
     return
-end
_combine_holes!(::Type{T}, new_hole, curr_poly, return_polys)
The new hole is combined with any existing holes in curr_poly. The holes can be combined into a larger hole if they are intersecting. If this happens, then the new, combined hole is returned with the original holes making up the new hole removed from curr_poly. Additionally, if the combined holes form a ring, the interior is added to the return_polys as a new polygon piece. Additionally, holes leftover after combination will be checked for it they are in the "main" polygon or in one of these new pieces and moved accordingly.
If the holes don't touch or curr_poly has no holes, then new_hole is returned without any changes.
julia
function _combine_holes!(::Type{T}, new_hole, curr_poly, return_polys, remove_hole_idx) where T
+end
_combine_holes!(::Type{T}, new_hole, curr_poly, return_polys)
The new hole is combined with any existing holes in curr_poly. The holes can be combined into a larger hole if they are intersecting. If this happens, then the new, combined hole is returned with the original holes making up the new hole removed from curr_poly. Additionally, if the combined holes form a ring, the interior is added to the return_polys as a new polygon piece. Additionally, holes leftover after combination will be checked for it they are in the "main" polygon or in one of these new pieces and moved accordingly.
If the holes don't touch or curr_poly has no holes, then new_hole is returned without any changes.
julia
function _combine_holes!(alg::FosterHormannClipping{M, A}, ::Type{T}, new_hole, curr_poly, return_polys, remove_hole_idx) where {T, M, A}
     n_new_polys = 0
     empty!(remove_hole_idx)
     new_hole_poly = GI.Polygon(StaticArrays.SVector(new_hole))
Combine any existing holes in curr_poly with new hole
julia
    for (k, old_hole) in enumerate(GI.gethole(curr_poly))
         old_hole_poly = GI.Polygon(StaticArrays.SVector(old_hole))
-        if intersects(new_hole_poly, old_hole_poly)
If the holes intersect, combine them into a bigger hole
julia
            hole_union = union(new_hole_poly, old_hole_poly, T; target = GI.PolygonTrait())[1]
+        if intersects(#=TODO: alg.manifold=#new_hole_poly, old_hole_poly)
If the holes intersect, combine them into a bigger hole
julia
            hole_union = union(alg, new_hole_poly, old_hole_poly, T; target = GI.PolygonTrait())[1]
             push!(remove_hole_idx, k + 1)
             new_hole = GI.getexterior(hole_union)
             new_hole_poly = GI.Polygon(StaticArrays.SVector(new_hole))
@@ -565,7 +646,7 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
 
 #= Remove collinear edge points, other than the first and last edge vertex, to simplify
 polygon - including both the exterior ring and any holes=#
-function _remove_collinear_points!(polys, remove_idx, poly_a, poly_b)
+function _remove_collinear_points!(alg::FosterHormannClipping{M, A}, polys, remove_idx, poly_a, poly_b) where {M, A}
     for (i, poly) in Iterators.reverse(enumerate(polys))
         for (j, ring) in Iterators.reverse(enumerate(GI.getring(poly)))
             n = length(ring.geom)
resize and reset removing index buffer
julia
            resize!(remove_idx, n)
@@ -579,12 +660,12 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
                     p2 = p
                     continue
                 else
-                    p3 = p
check if p2 is approximately on the edge formed by p1 and p3 - remove if so
julia
                    if Predicates.orient(p1, p2, p3; exact = _False()) == 0
+                    p3 = p
check if p2 is approximately on the edge formed by p1 and p3 - remove if so TODO: make this manifold aware
julia
                    if Predicates.orient(p1, p2, p3; exact = _False()) == 0
                         remove_idx[i - 1] = true
                     end
                 end
                 p1, p2 = p2, p3
-            end
Check if the first point (which is repeated as the last point) is needed
julia
            if Predicates.orient(ring.geom[end - 1], ring.geom[1], ring.geom[2]; exact = _False()) == 0
+            end
Check if the first point (which is repeated as the last point) is needed TODO: make this manifold aware
julia
            if Predicates.orient(ring.geom[end - 1], ring.geom[1], ring.geom[2]; exact = _False()) == 0
                 remove_idx[1], remove_idx[end] = true, true
             end
Remove unneeded collinear points
julia
            deleteat!(ring.geom, remove_idx)
Check if enough points are left to form a polygon
julia
            if length(ring.geom) ≤ (remove_idx[1] ? 2 : 3)
                 if j == 1
@@ -601,4 +682,4 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g
         end
     end
     return
-end
This page was generated using Literate.jl.
`,200)]))}const y=i(t,[["render",p]]);export{g as __pageData,y as default};
+end
This page was generated using Literate.jl.
`,214)]))}const y=i(t,[["render",l]]);export{g as __pageData,y as default};
diff --git a/previews/PR259/assets/source_methods_clipping_clipping_processor.md.ChDFCqHs.lean.js b/previews/PR259/assets/source_methods_clipping_clipping_processor.md.CVJUFgvw.lean.js
similarity index 75%
rename from previews/PR259/assets/source_methods_clipping_clipping_processor.md.ChDFCqHs.lean.js
rename to previews/PR259/assets/source_methods_clipping_clipping_processor.md.CVJUFgvw.lean.js
index e58754d8a..155f7d565 100644
--- a/previews/PR259/assets/source_methods_clipping_clipping_processor.md.ChDFCqHs.lean.js
+++ b/previews/PR259/assets/source_methods_clipping_clipping_processor.md.CVJUFgvw.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),t={name:"source/methods/clipping/clipping_processor.md"};function p(l,s,k,e,E,d){return n(),a("div",null,s[0]||(s[0]=[h("",200)]))}const y=i(t,[["render",p]]);export{g as __pageData,y as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const g=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),t={name:"source/methods/clipping/clipping_processor.md"};function l(p,s,k,e,E,r){return n(),a("div",null,s[0]||(s[0]=[h("",214)]))}const y=i(t,[["render",l]]);export{g as __pageData,y as default};
diff --git a/previews/PR259/assets/source_methods_clipping_coverage.md.I3CmYQZR.js b/previews/PR259/assets/source_methods_clipping_coverage.md.7AzAfHEY.js
similarity index 99%
rename from previews/PR259/assets/source_methods_clipping_coverage.md.I3CmYQZR.js
rename to previews/PR259/assets/source_methods_clipping_coverage.md.7AzAfHEY.js
index 22ef57cff..c547279d5 100644
--- a/previews/PR259/assets/source_methods_clipping_coverage.md.I3CmYQZR.js
+++ b/previews/PR259/assets/source_methods_clipping_coverage.md.7AzAfHEY.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/mzfaxpf.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return n(),a("div",null,s[0]||(s[0]=[h(`
julia
export coverage
What is coverage? ​
Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordinates of that bounding box, or an Extent containing that information.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/tdtjlfv.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return n(),a("div",null,s[0]||(s[0]=[h(`
julia
export coverage
What is coverage? ​
Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordinates of that bounding box, or an Extent containing that information.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_clipping_coverage.md.I3CmYQZR.lean.js b/previews/PR259/assets/source_methods_clipping_coverage.md.7AzAfHEY.lean.js
similarity index 87%
rename from previews/PR259/assets/source_methods_clipping_coverage.md.I3CmYQZR.lean.js
rename to previews/PR259/assets/source_methods_clipping_coverage.md.7AzAfHEY.lean.js
index a2cdd9787..ce511dc94 100644
--- a/previews/PR259/assets/source_methods_clipping_coverage.md.I3CmYQZR.lean.js
+++ b/previews/PR259/assets/source_methods_clipping_coverage.md.7AzAfHEY.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/mzfaxpf.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return n(),a("div",null,s[0]||(s[0]=[h("",58)]))}const F=i(k,[["render",p]]);export{y as __pageData,F as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/tdtjlfv.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return n(),a("div",null,s[0]||(s[0]=[h("",58)]))}const F=i(k,[["render",p]]);export{y as __pageData,F as default};
diff --git a/previews/PR259/assets/source_methods_clipping_cut.md.BZkVBeDi.lean.js b/previews/PR259/assets/source_methods_clipping_cut.md.BZkVBeDi.lean.js
deleted file mode 100644
index e54f8e956..000000000
--- a/previews/PR259/assets/source_methods_clipping_cut.md.BZkVBeDi.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/xzplnml.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return n(),a("div",null,s[0]||(s[0]=[h("",34)]))}const o=i(l,[["render",p]]);export{y as __pageData,o as default};
diff --git a/previews/PR259/assets/source_methods_clipping_cut.md.BZkVBeDi.js b/previews/PR259/assets/source_methods_clipping_cut.md.s0ApEmIZ.js
similarity index 73%
rename from previews/PR259/assets/source_methods_clipping_cut.md.BZkVBeDi.js
rename to previews/PR259/assets/source_methods_clipping_cut.md.s0ApEmIZ.js
index d93692091..93a49cb6d 100644
--- a/previews/PR259/assets/source_methods_clipping_cut.md.BZkVBeDi.js
+++ b/previews/PR259/assets/source_methods_clipping_cut.md.s0ApEmIZ.js
@@ -1,15 +1,15 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/xzplnml.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return n(),a("div",null,s[0]||(s[0]=[h(`
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
-
-poly = GI.Polygon([[(0.0, 0.0), (10.0, 0.0), (10.0, 10.0), (0.0, 10.0), (0.0, 0.0)]])
-line = GI.Line([(5.0, -5.0), (5.0, 15.0)])
-cut_polys = GO.cut(poly, line)
-
-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
"""
+import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(h,s,e,k,r,d){return n(),a("div",null,s[0]||(s[0]=[t(`
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:
@example
import GeoInterface as GI, GeometryOps as GO
+using CairoMakie
+using Makie
+
+poly = GI.Polygon([[(0.0, 0.0), (10.0, 0.0), (10.0, 10.0), (0.0, 10.0), (0.0, 0.0)]])
+line = GI.Line([(5.0, -5.0), (5.0, 15.0)])
+cut_polys = GO.cut(poly, line)
+
+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
"""
     cut(geom, line, [T::Type])
 
 Return given geom cut by given line as a list of geometries of the same type as the input
@@ -84,4 +84,4 @@ import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t
         end
     end
     return return_coords
-end
This page was generated using Literate.jl.
`,34)]))}const o=i(l,[["render",p]]);export{y as __pageData,o as default};
+end
This page was generated using Literate.jl.
`,33)]))}const o=i(l,[["render",p]]);export{g as __pageData,o as default};
diff --git a/previews/PR259/assets/source_methods_clipping_cut.md.s0ApEmIZ.lean.js b/previews/PR259/assets/source_methods_clipping_cut.md.s0ApEmIZ.lean.js
new file mode 100644
index 000000000..1601e3e12
--- /dev/null
+++ b/previews/PR259/assets/source_methods_clipping_cut.md.s0ApEmIZ.lean.js
@@ -0,0 +1 @@
+import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(h,s,e,k,r,d){return n(),a("div",null,s[0]||(s[0]=[t("",33)]))}const o=i(l,[["render",p]]);export{g as __pageData,o as default};
diff --git a/previews/PR259/assets/source_methods_clipping_difference.md.BOSoRQpu.lean.js b/previews/PR259/assets/source_methods_clipping_difference.md.BOSoRQpu.lean.js
deleted file mode 100644
index 38e5fe7c0..000000000
--- a/previews/PR259/assets/source_methods_clipping_difference.md.BOSoRQpu.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),p={name:"source/methods/clipping/difference.md"};function t(h,s,e,k,r,d){return n(),a("div",null,s[0]||(s[0]=[l("",22)]))}const E=i(p,[["render",t]]);export{y as __pageData,E as default};
diff --git a/previews/PR259/assets/source_methods_clipping_difference.md.BOSoRQpu.js b/previews/PR259/assets/source_methods_clipping_difference.md.DEXW95_U.js
similarity index 74%
rename from previews/PR259/assets/source_methods_clipping_difference.md.BOSoRQpu.js
rename to previews/PR259/assets/source_methods_clipping_difference.md.DEXW95_U.js
index 70279cfdb..aeccd223c 100644
--- a/previews/PR259/assets/source_methods_clipping_difference.md.BOSoRQpu.js
+++ b/previews/PR259/assets/source_methods_clipping_difference.md.DEXW95_U.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),p={name:"source/methods/clipping/difference.md"};function t(h,s,e,k,r,d){return n(),a("div",null,s[0]||(s[0]=[l(`
Difference Polygon Clipping ​
julia
export difference
+import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const E=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),h={name:"source/methods/clipping/difference.md"};function p(t,s,k,e,r,g){return n(),a("div",null,s[0]||(s[0]=[l(`
Difference Polygon Clipping ​
julia
export difference
 
 
 """
@@ -29,26 +29,26 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
 \`\`\`
 """
 function difference(
-    geom_a, geom_b, ::Type{T} = Float64; target=nothing, kwargs...,
+    alg::FosterHormannClipping, geom_a, geom_b, ::Type{T} = Float64; target=nothing, kwargs...,
 ) where {T<:AbstractFloat}
     return _difference(
-        TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b;
+        alg, TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b;
         exact = _True(), kwargs...,
     )
-end
+end
fallback definitions
julia
difference(geom_a, geom_b, ::Type{T} = Float64; target=nothing, kwargs...) where T = difference(FosterHormannClipping(Planar()), geom_a, geom_b, T; target, kwargs...)
if manifold but no algorithm - assume FosterHormannClipping with provided manifold.
julia
difference(m::Manifold, geom_a, geom_b, ::Type{T} = Float64; target=nothing, kwargs...) where T = difference(FosterHormannClipping(m), geom_a, geom_b, T; target, kwargs...)
 
-#= The 'difference' function returns the difference of two polygons as a list of polygons.
-The algorithm to determine the difference was adapted from "Efficient clipping of efficient
-polygons," by Greiner and Hormann (1998). DOI: https://doi.org/10.1145/274363.274364 =#
-function _difference(
-    ::TraitTarget{GI.PolygonTrait}, ::Type{T},
-    ::GI.PolygonTrait, poly_a,
-    ::GI.PolygonTrait, poly_b;
-    exact, kwargs...
-) where T
Get the exterior of the polygons
julia
    ext_a = GI.getexterior(poly_a)
-    ext_b = GI.getexterior(poly_b)
Find the difference of the exterior of the polygons
julia
    a_list, b_list, a_idx_list = _build_ab_list(T, ext_a, ext_b, _diff_delay_cross_f, _diff_delay_bounce_f; exact)
-    polys = _trace_polynodes(T, a_list, b_list, a_idx_list, _diff_step, poly_a, poly_b)
if no crossing points, determine if either poly is inside of the other
julia
    if isempty(polys)
-        a_in_b, b_in_a = _find_non_cross_orientation(a_list, b_list, ext_a, ext_b; exact)
add case for if they polygons are the same (all intersection points!) add a find_first check to find first non-inter poly!
julia
        if b_in_a && !a_in_b  # b in a and can't be the same polygon
+#= The 'difference' function returns the difference of two polygons as a list of polygons.
+The algorithm to determine the difference was adapted from "Efficient clipping of efficient
+polygons," by Greiner and Hormann (1998). DOI: https://doi.org/10.1145/274363.274364 =#
+function _difference(
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.PolygonTrait, poly_b;
+    exact, kwargs...
+) where T
Get the exterior of the polygons
julia
    ext_a = GI.getexterior(poly_a)
+    ext_b = GI.getexterior(poly_b)
Find the difference of the exterior of the polygons
julia
    a_list, b_list, a_idx_list = _build_ab_list(alg, T, ext_a, ext_b, _diff_delay_cross_f, _diff_delay_bounce_f; exact)
+    polys = _trace_polynodes(alg, T, a_list, b_list, a_idx_list, _diff_step, poly_a, poly_b)
if no crossing points, determine if either poly is inside of the other
julia
    if isempty(polys)
+        a_in_b, b_in_a = _find_non_cross_orientation(#=TODO: alg=#a_list, b_list, ext_a, ext_b; exact)
add case for if they polygons are the same (all intersection points!) add a find_first check to find first non-inter poly!
julia
        if b_in_a && !a_in_b  # b in a and can't be the same polygon
             poly_a_b_hole = GI.Polygon([tuples(ext_a), tuples(ext_b)])
             push!(polys, poly_a_b_hole)
         elseif !b_in_a && !a_in_b # polygons don't intersect
@@ -57,17 +57,17 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
         end
     end
     remove_idx = falses(length(polys))
If the original polygons had holes, take that into account.
julia
    if GI.nhole(poly_a) != 0
-        _add_holes_to_polys!(T, polys, GI.gethole(poly_a), remove_idx; exact)
+        _add_holes_to_polys!(alg, T, polys, GI.gethole(poly_a), remove_idx; exact)
     end
     if GI.nhole(poly_b) != 0
         for hole in GI.gethole(poly_b)
             hole_poly = GI.Polygon(StaticArrays.SVector(hole))
-            new_polys = intersection(hole_poly, poly_a, T; target = GI.PolygonTrait)
+            new_polys = intersection(alg, hole_poly, poly_a, T; target = GI.PolygonTrait)
             if length(new_polys) > 0
                 append!(polys, new_polys)
             end
         end
-    end
Remove unneeded collinear points on same edge
julia
    _remove_collinear_points!(polys, remove_idx, poly_a, poly_b)
+    end
Remove unneeded collinear points on same edge
julia
    _remove_collinear_points!(alg, polys, remove_idx, poly_a, poly_b)
     return polys
 end
Helper functions for Differences with Greiner and Hormann Polygon Clipping ​
julia
#= When marking the crossing status of a delayed crossing, the chain start point is crossing
 when the start point is a entry point and is a bouncing point when the start point is an
@@ -89,7 +89,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
 #= Polygon with multipolygon difference - note that all intersection regions between
 \`poly_a\` and any of the sub-polygons of \`multipoly_b\` are removed from \`poly_a\`. =#
 function _difference(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.PolygonTrait, poly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     kwargs...,
@@ -97,7 +97,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
     polys = [tuples(poly_a, T)]
     for poly_b in GI.getpolygon(multipoly_b)
         isempty(polys) && break
-        polys = mapreduce(p -> difference(p, poly_b; target), append!, polys)
+        polys = mapreduce(p -> difference(alg, p, poly_b; target), append!, polys)
     end
     return polys
 end
@@ -107,7 +107,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
 sub-polygon. Unless specified with \`fix_multipoly = nothing\`, \`multipolygon_a\` will be
 validated using the given (default is \`UnionIntersectingPolygons()\`) correction. =#
 function _difference(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.PolygonTrait, poly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -118,7 +118,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
     polys = Vector{_get_poly_type(T)}()
     sizehint!(polys, GI.npolygon(multipoly_a))
     for poly_a in GI.getpolygon(multipoly_a)
-        append!(polys, difference(poly_a, poly_b; target))
+        append!(polys, difference(alg, poly_a, poly_b; target))
     end
     return polys
 end
@@ -129,7 +129,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
 \`multipolygon_a\` will be validated using the given (default is \`UnionIntersectingPolygons()\`)
 correction. =#
 function _difference(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -144,9 +144,9 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
         pieces of \`multipolygon_a\`\` are removed, continue to take difference with new shape
         \`polys\` =#
         polys = if i == 1
-            difference(multipoly_a, poly_b; target, fix_multipoly)
+            difference(alg, multipoly_a, poly_b; target, fix_multipoly)
         else
-            difference(GI.MultiPolygon(polys), poly_b; target, fix_multipoly)
+            difference(alg, GI.MultiPolygon(polys), poly_b; target, fix_multipoly)
         end
         #= One multipoly_a has been completely covered (and thus removed) there is no need to
         continue taking the difference =#
@@ -154,13 +154,13 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
     end
     return polys
 end
Many type and target combos aren't implemented
julia
function _difference(
-    ::TraitTarget{Target}, ::Type{T},
+    alg::GeometryOpsCore.Algorithm, target::TraitTarget{Target}, ::Type{T},
     trait_a::GI.AbstractTrait, geom_a,
     trait_b::GI.AbstractTrait, geom_b,
 ) where {Target, T}
     @assert(
         false,
-        "Difference between $trait_a and $trait_b with target $Target isn't implemented yet.",
+        "Difference between $trait_a and $trait_b with target $Target and algorithm $alg isn't implemented yet.",
     )
     return nothing
-end
This page was generated using Literate.jl.
`,22)]))}const E=i(p,[["render",t]]);export{y as __pageData,E as default};
+end
This page was generated using Literate.jl.
`,26)]))}const y=i(h,[["render",p]]);export{E as __pageData,y as default};
diff --git a/previews/PR259/assets/source_methods_clipping_difference.md.DEXW95_U.lean.js b/previews/PR259/assets/source_methods_clipping_difference.md.DEXW95_U.lean.js
new file mode 100644
index 000000000..b7c9a0282
--- /dev/null
+++ b/previews/PR259/assets/source_methods_clipping_difference.md.DEXW95_U.lean.js
@@ -0,0 +1 @@
+import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const E=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),h={name:"source/methods/clipping/difference.md"};function p(t,s,k,e,r,g){return n(),a("div",null,s[0]||(s[0]=[l("",26)]))}const y=i(h,[["render",p]]);export{E as __pageData,y as default};
diff --git a/previews/PR259/assets/source_methods_clipping_intersection.md.CLIavVgq.js b/previews/PR259/assets/source_methods_clipping_intersection.md.Bigo6bS9.js
similarity index 85%
rename from previews/PR259/assets/source_methods_clipping_intersection.md.CLIavVgq.js
rename to previews/PR259/assets/source_methods_clipping_intersection.md.Bigo6bS9.js
index 16eaf08b5..91cf0fb53 100644
--- a/previews/PR259/assets/source_methods_clipping_intersection.md.CLIavVgq.js
+++ b/previews/PR259/assets/source_methods_clipping_intersection.md.Bigo6bS9.js
@@ -36,33 +36,39 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
 \`\`\`
 """
 function intersection(
-    geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...,
+    alg::FosterHormannClipping, geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...
 ) where {T<:AbstractFloat}
     return _intersection(
-        TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b;
+        alg, TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b;
         exact = _True(), kwargs...,
     )
-end
Curve-Curve Intersections with target Point
julia
_intersection(
-    ::TraitTarget{GI.PointTrait}, ::Type{T},
+end
fallback definitions if no manifold - assume planar (until we have best_manifold)
julia
function intersection(
+    geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...
+) where {T<:AbstractFloat}
+    return intersection(FosterHormannClipping(Planar()), geom_a, geom_b; target, kwargs...)
+end
if manifold but no algorithm - assume FosterHormannClipping with provided manifold.
julia
function intersection(m::Manifold, geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...) where {T<:AbstractFloat}
+    return intersection(FosterHormannClipping(m), geom_a, geom_b; target, kwargs...)
+end
Curve-Curve Intersections with target Point
julia
_intersection(
+    alg::FosterHormannClipping, ::TraitTarget{GI.PointTrait}, ::Type{T},
     trait_a::Union{GI.LineTrait, GI.LineStringTrait, GI.LinearRingTrait}, geom_a,
     trait_b::Union{GI.LineTrait, GI.LineStringTrait, GI.LinearRingTrait}, geom_b;
     kwargs...,
-) where T = _intersection_points(T, trait_a, geom_a, trait_b, geom_b)
+) where T = _intersection_points(alg.manifold, alg.accelerator, T, trait_a, geom_a, trait_b, geom_b)
 
 #= Polygon-Polygon Intersections with target Polygon
 The algorithm to determine the intersection was adapted from "Efficient clipping
 of efficient polygons," by Greiner and Hormann (1998).
 DOI: https://doi.org/10.1145/274363.274364 =#
 function _intersection(
-    ::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, ::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.PolygonTrait, poly_a,
     ::GI.PolygonTrait, poly_b;
     exact, kwargs...,
 ) where {T}
First we get the exteriors of 'poly_a' and 'poly_b'
julia
    ext_a = GI.getexterior(poly_a)
-    ext_b = GI.getexterior(poly_b)
Then we find the intersection of the exteriors
julia
    a_list, b_list, a_idx_list = _build_ab_list(T, ext_a, ext_b, _inter_delay_cross_f, _inter_delay_bounce_f; exact)
-    polys = _trace_polynodes(T, a_list, b_list, a_idx_list, _inter_step, poly_a, poly_b)
+    ext_b = GI.getexterior(poly_b)
Then we find the intersection of the exteriors
julia
    a_list, b_list, a_idx_list = _build_ab_list(alg, T, ext_a, ext_b, _inter_delay_cross_f, _inter_delay_bounce_f; exact)
+    polys = _trace_polynodes(alg, T, a_list, b_list, a_idx_list, _inter_step, poly_a, poly_b)
     if isempty(polys) # no crossing points, determine if either poly is inside the other
-        a_in_b, b_in_a = _find_non_cross_orientation(a_list, b_list, ext_a, ext_b; exact)
+        a_in_b, b_in_a = _find_non_cross_orientation(alg, a_list, b_list, ext_a, ext_b; exact)
         if a_in_b
             push!(polys, GI.Polygon([tuples(ext_a)]))
         elseif b_in_a
@@ -71,8 +77,8 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
     end
     remove_idx = falses(length(polys))
If the original polygons had holes, take that into account.
julia
    if GI.nhole(poly_a) != 0 || GI.nhole(poly_b) != 0
         hole_iterator = Iterators.flatten((GI.gethole(poly_a), GI.gethole(poly_b)))
-        _add_holes_to_polys!(T, polys, hole_iterator, remove_idx; exact)
-    end
Remove unneeded collinear points on same edge
julia
    _remove_collinear_points!(polys, remove_idx, poly_a, poly_b)
+        _add_holes_to_polys!(alg, T, polys, hole_iterator, remove_idx; exact)
+    end
Remove unneeded collinear points on same edge
julia
    _remove_collinear_points!(alg, polys, remove_idx, poly_a, poly_b)
     return polys
 end
Helper functions for Intersections with Greiner and Hormann Polygon Clipping ​
julia
#= When marking the crossing status of a delayed crossing, the chain start point is bouncing
 when the start point is a entry point and is a crossing point when the start point is an
@@ -93,7 +99,7 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
 Unless specified with \`fix_multipoly = nothing\`, \`multipolygon_b\` will be validated using
 the given (default is \`UnionIntersectingPolygons()\`) correction. =#
 function _intersection(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.PolygonTrait, poly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -103,7 +109,7 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
     end
     polys = Vector{_get_poly_type(T)}()
     for poly_b in GI.getpolygon(multipoly_b)
-        append!(polys, intersection(poly_a, poly_b; target))
+        append!(polys, intersection(alg, poly_a, poly_b; target))
     end
     return polys
 end
@@ -112,11 +118,11 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
 polygon with the multipolygon and thus simply switches the order of operations and calls the
 above method. =#
 _intersection(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.PolygonTrait, poly_b;
     kwargs...,
-) where T = intersection(poly_b, multipoly_a; target , kwargs...)
+) where T = intersection(alg, poly_b, multipoly_a; target , kwargs...)
 
 #= Multipolygon with multipolygon intersection - note that all intersection regions between
 any sub-polygons of \`multipoly_a\` and any of the sub-polygons of \`multipoly_b\` are counted
@@ -124,7 +130,7 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
 \`multipolygon_a\` and \`multipolygon_b\` will be validated using the given (default is
 \`UnionIntersectingPolygons()\`) correction. =#
 function _intersection(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -136,18 +142,18 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
     end
     polys = Vector{_get_poly_type(T)}()
     for poly_a in GI.getpolygon(multipoly_a)
-        append!(polys, intersection(poly_a, multipoly_b; target, fix_multipoly))
+        append!(polys, intersection(alg, poly_a, multipoly_b; target, fix_multipoly))
     end
     return polys
 end
Many type and target combos aren't implemented
julia
function _intersection(
-    ::TraitTarget{Target}, ::Type{T},
+    alg::GeometryOpsCore.Algorithm, target::TraitTarget{Target}, ::Type{T},
     trait_a::GI.AbstractTrait, geom_a,
     trait_b::GI.AbstractTrait, geom_b;
     kwargs...,
 ) where {Target, T}
     @assert(
         false,
-        "Intersection between $trait_a and $trait_b with target $Target isn't implemented yet.",
+        "Intersection between $trait_a and $trait_b with target $Target and algorithm $alg isn't implemented yet.",
     )
     return nothing
 end
@@ -168,14 +174,20 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
 inter_points = GO.intersection_points(line1, line2)
output
julia
1-element Vector{Tuple{Float64, Float64}}:
  (125.58375366067548, -14.83572303404496)
 """
-intersection_points(geom_a, geom_b, ::Type{T} = Float64) where T <: AbstractFloat =
-    _intersection_points(T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b)
+intersection_points(geom_a, geom_b, ::Type{T} = Float64) where T <: AbstractFloat = intersection_points(FosterHormannClipping(Planar()), geom_a, geom_b, T)
+function intersection_points(alg::FosterHormannClipping{M, A}, geom_a, geom_b, ::Type{T} = Float64) where {M, A, T <: AbstractFloat}
+    return _intersection_points(alg.manifold, alg.accelerator, T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b)
+end
+
+function intersection_points(m::Manifold, a::IntersectionAccelerator, geom_a, geom_b, ::Type{T} = Float64) where T <: AbstractFloat
+    return _intersection_points(m, a, T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b)
+end
 
 
 #= Calculates the list of intersection points between two geometries, including line
 segments, line strings, linear rings, polygons, and multipolygons. =#
-function _intersection_points(::Type{T}, ::GI.AbstractTrait, a, ::GI.AbstractTrait, b; exact = _True()) where T
Initialize an empty list of points
julia
    result = Tuple{T, T}[]
Check if the geometries extents even overlap
julia
    Extents.intersects(GI.extent(a), GI.extent(b)) || return result
Create a list of edges from the two input geometries
julia
    edges_a, edges_b = map(sort! ∘ to_edges, (a, b))
Loop over pairs of edges and add any unique intersection points to results
julia
    for a_edge in edges_a, b_edge in edges_b
-        line_orient, intr1, intr2 = _intersection_point(T, a_edge, b_edge; exact)
+function _intersection_points(manifold::M, accelerator::A, ::Type{T}, ::GI.AbstractTrait, a, ::GI.AbstractTrait, b; exact = _True()) where {M <: Manifold, A <: IntersectionAccelerator, T}
Initialize an empty list of points
julia
    result = Tuple{T, T}[]
Check if the geometries extents even overlap
julia
    Extents.intersects(GI.extent(a), GI.extent(b)) || return result
Create a list of edges from the two input geometries
julia
    edges_a, edges_b = map(sort! ∘ to_edges, (a, b))
Loop over pairs of edges and add any unique intersection points to results TODO: add intersection acceleration here.
julia
    for a_edge in edges_a, b_edge in edges_b
+        line_orient, intr1, intr2 = _intersection_point(manifold, T, a_edge, b_edge; exact)
         line_orient == line_out && continue  # no intersection points
         pt1, _ = intr1
         push!(result, pt1)  # if not line_out, there is at least one intersection point
@@ -210,7 +222,7 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
 that point.
 
 Calculation derivation can be found here: https://stackoverflow.com/questions/563198/ =#
-function _intersection_point(::Type{T}, (a1, a2)::Edge, (b1, b2)::Edge; exact) where T
Default answer for no intersection
julia
    line_orient = line_out
+function _intersection_point(manifold::M, ::Type{T}, (a1, a2)::Edge, (b1, b2)::Edge; exact) where {M <: Manifold, T}
Default answer for no intersection
julia
    line_orient = line_out
     intr1 = ((zero(T), zero(T)), (zero(T), zero(T)))
     intr2 = intr1
     no_intr_result = (line_orient, intr1, intr2)
Seperate out line segment points
julia
    (a1x, a1y), (a2x, a2y) = _tuple_point(a1, T), _tuple_point(a2, T)
@@ -221,14 +233,14 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
     a1_orient != 0 && a1_orient == a2_orient && return no_intr_result  # α < 0 or α > 1
     b1_orient = Predicates.orient(a1, a2, b1; exact)
     b2_orient = Predicates.orient(a1, a2, b2; exact)
-    b1_orient != 0 && b1_orient == b2_orient && return no_intr_result  # β < 0 or β > 1
Determine intersection type and intersection point(s)
julia
    if a1_orient == a2_orient == b1_orient == b2_orient == 0
Intersection is collinear if all endpoints lie on the same line
julia
        line_orient, intr1, intr2 = _find_collinear_intersection(T, a1, a2, b1, b2, a_ext, b_ext, no_intr_result)
+    b1_orient != 0 && b1_orient == b2_orient && return no_intr_result  # β < 0 or β > 1
Determine intersection type and intersection point(s)
julia
    if a1_orient == a2_orient == b1_orient == b2_orient == 0
Intersection is collinear if all endpoints lie on the same line
julia
        line_orient, intr1, intr2 = _find_collinear_intersection(manifold, T, a1, a2, b1, b2, a_ext, b_ext, no_intr_result)
     elseif a1_orient == 0 || a2_orient == 0 || b1_orient == 0 || b2_orient == 0
Intersection is a hinge if the intersection point is an endpoint
julia
        line_orient = line_hinge
         intr1 = _find_hinge_intersection(T, a1, a2, b1, b2, a1_orient, a2_orient, b1_orient)
     else
Intersection is a cross if there is only one non-endpoint intersection point
julia
        line_orient = line_cross
         intr1 = _find_cross_intersection(T, a1, a2, b1, b2, a_ext, b_ext)
     end
     return line_orient, intr1, intr2
-end
+end
TODO: deprecate this
julia
_intersection_point(::Type{T}, (a1, a2)::Edge, (b1, b2)::Edge; exact) where T = _intersection_point(Planar(), T, (a1, a2), (b1, b2); exact)
 
 #= If lines defined by (a1, a2) and (b1, b2) are collinear, find endpoints of overlapping
 region if they exist. This could result in three possibilities. First, there could be no
@@ -236,7 +248,7 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
 returned. Second, the two regions could just meet at one shared endpoint, in which case it
 is a hinge intersection with one intersection point. Otherwise, it is a overlapping
 intersection defined by two of the endpoints of the line segments. =#
-function _find_collinear_intersection(::Type{T}, a1, a2, b1, b2, a_ext, b_ext, no_intr_result) where T
Define default return for no intersection points
julia
    line_orient, intr1, intr2 = no_intr_result
Determine collinear line overlaps
julia
    a1_in_b = _point_in_extent(a1, b_ext)
+function _find_collinear_intersection(manifold::M, ::Type{T}, a1, a2, b1, b2, a_ext, b_ext, no_intr_result) where {M <: Manifold, T}
Define default return for no intersection points
julia
    line_orient, intr1, intr2 = no_intr_result
Determine collinear line overlaps
julia
    a1_in_b = _point_in_extent(a1, b_ext)
     a2_in_b = _point_in_extent(a2, b_ext)
     b1_in_a = _point_in_extent(b1, a_ext)
     b2_in_a = _point_in_extent(b2, a_ext)
Determine line distances
julia
    a_dist, b_dist = distance(a1, a2, T), distance(b1, b2, T)
Set collinear intersection points if they exist
julia
    if a1_in_b && a2_in_b      # 1st vertex of a and 2nd vertex of a form overlap
@@ -380,4 +392,4 @@ import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g
         min_pt, min_dist = b2, dist
         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.
`,80)]))}const y=i(h,[["render",l]]);export{g as __pageData,y as default};
+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.
`,86)]))}const y=i(h,[["render",l]]);export{g as __pageData,y as default};
diff --git a/previews/PR259/assets/source_methods_clipping_intersection.md.CLIavVgq.lean.js b/previews/PR259/assets/source_methods_clipping_intersection.md.Bigo6bS9.lean.js
similarity index 87%
rename from previews/PR259/assets/source_methods_clipping_intersection.md.CLIavVgq.lean.js
rename to previews/PR259/assets/source_methods_clipping_intersection.md.Bigo6bS9.lean.js
index 6c165cfd0..f1040e121 100644
--- a/previews/PR259/assets/source_methods_clipping_intersection.md.CLIavVgq.lean.js
+++ b/previews/PR259/assets/source_methods_clipping_intersection.md.Bigo6bS9.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),h={name:"source/methods/clipping/intersection.md"};function l(p,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[t("",80)]))}const y=i(h,[["render",l]]);export{g as __pageData,y as default};
+import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const g=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),h={name:"source/methods/clipping/intersection.md"};function l(p,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[t("",86)]))}const y=i(h,[["render",l]]);export{g as __pageData,y as default};
diff --git a/previews/PR259/assets/source_methods_clipping_union.md.cKYnnZNN.js b/previews/PR259/assets/source_methods_clipping_union.md.D30VBadw.js
similarity index 69%
rename from previews/PR259/assets/source_methods_clipping_union.md.cKYnnZNN.js
rename to previews/PR259/assets/source_methods_clipping_union.md.D30VBadw.js
index 16b073430..ede5ba90d 100644
--- a/previews/PR259/assets/source_methods_clipping_union.md.cKYnnZNN.js
+++ b/previews/PR259/assets/source_methods_clipping_union.md.D30VBadw.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),h={name:"source/methods/clipping/union.md"};function p(t,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[l(`
Union Polygon Clipping ​
julia
export union
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const y=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"};function p(t,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[h(`
Union Polygon Clipping ​
julia
export union
 
 """
     union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
@@ -29,28 +29,34 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
 \`\`\`
 """
 function union(
-    geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...
+    alg::FosterHormannClipping, geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...
 ) where {T<:AbstractFloat}
     return _union(
-        TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b;
+        alg, TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b;
         exact = _True(), kwargs...,
     )
-end
-
-#= This 'union' implementation returns the union of two polygons. The algorithm to determine
-the union was adapted from "Efficient clipping of efficient polygons," by Greiner and
-Hormann (1998). DOI: https://doi.org/10.1145/274363.274364 =#
-function _union(
-    ::TraitTarget{GI.PolygonTrait}, ::Type{T},
-    ::GI.PolygonTrait, poly_a,
-    ::GI.PolygonTrait, poly_b;
-    exact, kwargs...,
-) where T
First, I get the exteriors of the two polygons
julia
    ext_a = GI.getexterior(poly_a)
-    ext_b = GI.getexterior(poly_b)
Then, I get the union of the exteriors
julia
    a_list, b_list, a_idx_list = _build_ab_list(T, ext_a, ext_b, _union_delay_cross_f, _union_delay_bounce_f; exact)
-    polys = _trace_polynodes(T, a_list, b_list, a_idx_list, _union_step, poly_a, poly_b)
+end
fallback definitions if no manifold - assume planar (until we have best_manifold)
julia
function union(
+    geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...
+) where {T<:AbstractFloat}
+    return union(FosterHormannClipping(Planar()), geom_a, geom_b; target, kwargs...)
+end
if manifold but no algorithm - assume FosterHormannClipping with provided manifold.
julia
function union(m::Manifold, geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...) where {T<:AbstractFloat}
+    return union(FosterHormannClipping(m), geom_a, geom_b; target, kwargs...)
+end
+
+#= This 'union' implementation returns the union of two polygons. The algorithm to determine
+the union was adapted from "Efficient clipping of efficient polygons," by Greiner and
+Hormann (1998). DOI: https://doi.org/10.1145/274363.274364 =#
+function _union(
+    alg::FosterHormannClipping, ::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.PolygonTrait, poly_b;
+    exact, kwargs...,
+) where T
First, I get the exteriors of the two polygons
julia
    ext_a = GI.getexterior(poly_a)
+    ext_b = GI.getexterior(poly_b)
Then, I get the union of the exteriors
julia
    a_list, b_list, a_idx_list = _build_ab_list(alg, T, ext_a, ext_b, _union_delay_cross_f, _union_delay_bounce_f; exact)
+    polys = _trace_polynodes(alg, T, a_list, b_list, a_idx_list, _union_step, poly_a, poly_b)
     n_pieces = length(polys)
Check if one polygon totally within other and if so, return the larger polygon
julia
    a_in_b, b_in_a = false, false
     if n_pieces == 0 # no crossing points, determine if either poly is inside the other
-        a_in_b, b_in_a = _find_non_cross_orientation(a_list, b_list, ext_a, ext_b; exact)
+        a_in_b, b_in_a = _find_non_cross_orientation(alg, T, a_list, b_list, ext_a, ext_b; exact)
         if a_in_b
             push!(polys, GI.Polygon([_linearring(tuples(ext_b))]))
         elseif b_in_a
@@ -67,8 +73,8 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
         sort!(polys, by = area, rev = true)  # sort by area so first element is the exterior
the first element is the exterior, the rest are holes
julia
        @views append!(polys[1].geom, (GI.getexterior(p) for p in polys[2:end]))
         keepat!(polys, 1)
     end
Add in holes
julia
    if GI.nhole(poly_a) != 0 || GI.nhole(poly_b) != 0
-        _add_union_holes!(polys, a_in_b, b_in_a, poly_a, poly_b; exact)
-    end
Remove unneeded collinear points on same edge
julia
    _remove_collinear_points!(polys, [false], poly_a, poly_b)
+        _add_union_holes!(alg, polys, a_in_b, b_in_a, poly_a, poly_b; exact)
+    end
Remove unneeded collinear points on same edge
julia
    _remove_collinear_points!(alg, polys, [false], poly_a, poly_b)
     return polys
 end
Helper functions for Unions with Greiner and Hormann Polygon Clipping ​
julia
#= When marking the crossing status of a delayed crossing, the chain start point is crossing
 when the start point is a entry point and is a bouncing point when the start point is an
@@ -88,11 +94,11 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
 #= Add holes from two polygons to the exterior polygon formed by their union. If adding the
 the holes reveals that the polygons aren't actually intersecting, return the original
 polygons. =#
-function _add_union_holes!(polys, a_in_b, b_in_a, poly_a, poly_b; exact)
+function _add_union_holes!(alg::FosterHormannClipping, polys, a_in_b, b_in_a, poly_a, poly_b; exact)
     if a_in_b
-        _add_union_holes_contained_polys!(polys, poly_a, poly_b; exact)
+        _add_union_holes_contained_polys!(alg, polys, poly_a, poly_b; exact)
     elseif b_in_a
-        _add_union_holes_contained_polys!(polys, poly_b, poly_a; exact)
+        _add_union_holes_contained_polys!(alg, polys, poly_b, poly_a; exact)
     else  # Polygons intersect, but neither is contained in the other
         n_a_holes = GI.nhole(poly_a)
         ext_poly_a = GI.Polygon(StaticArrays.SVector(GI.getexterior(poly_a)))
@@ -103,7 +109,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
         curr_exterior_poly = n_a_holes > 0 ? ext_poly_b : ext_poly_a
         current_poly = n_a_holes > 0 ? ext_poly_b : poly_a
Loop over all holes in both original polygons
julia
        for (i, ih) in enumerate(Iterators.flatten((GI.gethole(poly_a), GI.gethole(poly_b))))
             ih = _linearring(ih)
-            in_ext, _, _ = _line_polygon_interactions(ih, curr_exterior_poly; exact, closed_line = true)
+            in_ext, _, _ = _line_polygon_interactions(#=TODO: alg.manifold=# ih, curr_exterior_poly; exact, closed_line = true)
             if !in_ext
                 #= if the hole isn't in the overlapping region between the two polygons, add
                 the hole to the resulting polygon as we know it can't interact with any
@@ -116,7 +122,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
                 between poly_a and poly_b within the overlap are added, in addition to all
                 holes in non-overlapping regions =#
                 h_poly = GI.Polygon(StaticArrays.SVector(ih))
-                new_holes = difference(h_poly, current_poly; target = GI.PolygonTrait())
+                new_holes = difference(alg, h_poly, current_poly; target = GI.PolygonTrait())
                 append!(polys[1].geom, (GI.getexterior(new_h) for new_h in new_holes))
             end
             if i == n_a_holes
@@ -131,12 +137,12 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
 #= Add holes holes to the union of two polygons where one of the original polygons was
 inside of the other. If adding the the holes reveal that the polygons aren't actually
 intersecting, return the original polygons.=#
-function _add_union_holes_contained_polys!(polys, interior_poly, exterior_poly; exact)
+function _add_union_holes_contained_polys!(alg::FosterHormannClipping, polys, interior_poly, exterior_poly; exact)
     union_poly = polys[1]
     ext_int_ring = GI.getexterior(interior_poly)
     for (i, ih) in enumerate(GI.gethole(exterior_poly))
         poly_ih = GI.Polygon(StaticArrays.SVector(ih))
-        in_ih, on_ih, out_ih = _line_polygon_interactions(ext_int_ring, poly_ih; exact, closed_line = true)
+        in_ih, on_ih, out_ih = _line_polygon_interactions(#=TODO: alg.manifold=# ext_int_ring, poly_ih; exact, closed_line = true)
         if in_ih  # at least part of interior polygon exterior is within the ith hole
             if !on_ih && !out_ih
                 #= interior polygon is completely within the ith hole - polygons aren't
@@ -147,7 +153,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
             else
                 #= interior polygon is partially within the ith hole - area of interior
                 polygon reduces the size of the hole =#
-                new_holes = difference(poly_ih, interior_poly; target = GI.PolygonTrait())
+                new_holes = difference(alg, poly_ih, interior_poly; target = GI.PolygonTrait())
                 append!(union_poly.geom, (GI.getexterior(new_h) for new_h in new_holes))
             end
         else  # none of interior polygon exterior is within the ith hole
@@ -161,14 +167,14 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
                 #= interior polygon's exterior is outside of the ith hole - the interior
                 polygon could either be disjoint from the hole, or contain the hole =#
                 ext_int_poly = GI.Polygon(StaticArrays.SVector(ext_int_ring))
-                in_int, _, _ = _line_polygon_interactions(ih, ext_int_poly; exact, closed_line = true)
+                in_int, _, _ = _line_polygon_interactions(#=TODO: alg.manifold=# ih, ext_int_poly; exact, closed_line = true)
                 if in_int
                     #= interior polygon contains the hole - overlapping holes between the
                     interior and exterior polygons will be added =#
                     for jh in GI.gethole(interior_poly)
                         poly_jh = GI.Polygon(StaticArrays.SVector(jh))
                         if intersects(poly_ih, poly_jh)
-                            new_holes = intersection(poly_ih, poly_jh; target = GI.PolygonTrait())
+                            new_holes = intersection(#=TODO: alg, =#poly_ih, poly_jh; target = GI.PolygonTrait())
                             append!(union_poly.geom, (GI.getexterior(new_h) for new_h in new_holes))
                         end
                     end
@@ -188,7 +194,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
 with \`fix_multipoly = nothing\`, \`multipolygon_b\` will be validated using the given (default
 is \`UnionIntersectingPolygons()\`) correction. =#
 function _union(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.PolygonTrait, poly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -198,7 +204,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
     end
     polys = [tuples(poly_a, T)]
     for poly_b in GI.getpolygon(multipoly_b)
-        if intersects(polys[1], poly_b)
If polygons intersect and form a new polygon, swap out polygon
julia
            new_polys = union(polys[1], poly_b; target)
+        if intersects(#=TODO: alg.manifold, =#polys[1], poly_b)
If polygons intersect and form a new polygon, swap out polygon
julia
            new_polys = union(alg, polys[1], poly_b; target)
             if length(new_polys) > 1 # case where they intersect by just one point
                 push!(polys, tuples(poly_b, T))  # add poly_b to list
             else
@@ -213,18 +219,18 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
 #= Multipolygon with polygon union is equivalent to taking the union of the polygon with the
 multipolygon and thus simply switches the order of operations and calls the above method. =#
 _union(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.PolygonTrait, poly_b;
     kwargs...,
-) where T = union(poly_b, multipoly_a; target, kwargs...)
+) where T = union(alg, poly_b, multipoly_a; target, kwargs...)
 
 #= Multipolygon with multipolygon union - note that all of the sub-polygons of \`multipoly_a\`
 and the sub-polygons of \`multipoly_b\` are included and combined together where there are
 intersections. Unless specified with \`fix_multipoly = nothing\`, \`multipolygon_b\` will be
 validated using the given (default is \`UnionIntersectingPolygons()\`) correction. =#
 function _union(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -236,16 +242,57 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y
     multipolys = multipoly_b
     local polys
     for poly_a in GI.getpolygon(multipoly_a)
-        polys = union(poly_a, multipolys; target, fix_multipoly)
+        polys = union(alg, poly_a, multipolys; target, fix_multipoly)
         multipolys = GI.MultiPolygon(polys)
     end
     return polys
+end
+
+function _union(
+    alg::FosterHormannClipping, target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.PolygonTrait, poly_b;
+    kwargs...,
+) where T
+    return UnionIntersectingPolygons(#=TODO: alg.manifold=#)(GI.MultiPolygon([poly_a, poly_b]))
+end
+
+function _union(
+    alg::FosterHormannClipping, target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.MultiPolygonTrait, multipoly_b;
+    fix_multipoly = UnionIntersectingPolygons(),
+    kwargs...,
+) where T
+    res = union(alg, multipoly_b, poly_a; target = GI.PolygonTrait(), kwargs...)
+    if !isnothing(fix_multipoly)
+        return fix_multipoly(GI.MultiPolygon(res))
+    else
+        return GI.MultiPolygon(res)
+    end
+end
this is the opposite of the above
julia
function _union(
+    alg::FosterHormannClipping, target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.MultiPolygonTrait, multipoly_a,
+    ::GI.PolygonTrait, poly_b;
+    fix_multipoly = UnionIntersectingPolygons(),
+    kwargs...,
+) where T
+    union(alg, poly_b, multipoly_a; target, fix_multipoly, kwargs...)
+end
+
+function _union(
+    alg::FosterHormannClipping, target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    trait_a::GI.MultiPolygonTrait, multipoly_a,
+    trait_b::GI.MultiPolygonTrait, multipoly_b;
+    fix_multipoly = UnionIntersectingPolygons(), kwargs...,
+) where T
+    return GI.MultiPolygon(_union(alg, TraitTarget{GI.PolygonTrait}(), T, trait_a, multipoly_a, trait_b, multipoly_b; fix_multipoly, kwargs...))
 end
Many type and target combos aren't implemented
julia
function _union(
-    ::TraitTarget{Target}, ::Type{T},
+    alg::GeometryOpsCore.Algorithm, target::TraitTarget{Target}, ::Type{T},
     trait_a::GI.AbstractTrait, geom_a,
     trait_b::GI.AbstractTrait, geom_b;
     kwargs...
 ) where {Target,T}
     throw(ArgumentError("Union between $trait_a and $trait_b with target $Target isn't implemented yet."))
     return nothing
-end
This page was generated using Literate.jl.
`,28)]))}const d=i(h,[["render",p]]);export{y as __pageData,d as default};
+end
This page was generated using Literate.jl.
`,34)]))}const d=i(l,[["render",p]]);export{y as __pageData,d as default};
diff --git a/previews/PR259/assets/source_methods_clipping_union.md.cKYnnZNN.lean.js b/previews/PR259/assets/source_methods_clipping_union.md.D30VBadw.lean.js
similarity index 59%
rename from previews/PR259/assets/source_methods_clipping_union.md.cKYnnZNN.lean.js
rename to previews/PR259/assets/source_methods_clipping_union.md.D30VBadw.lean.js
index 01eee6d0f..e97ecc3f8 100644
--- a/previews/PR259/assets/source_methods_clipping_union.md.cKYnnZNN.lean.js
+++ b/previews/PR259/assets/source_methods_clipping_union.md.D30VBadw.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const y=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),h={name:"source/methods/clipping/union.md"};function p(t,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[l("",28)]))}const d=i(h,[["render",p]]);export{y as __pageData,d as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const y=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"};function p(t,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[h("",34)]))}const d=i(l,[["render",p]]);export{y as __pageData,d as default};
diff --git a/previews/PR259/assets/source_methods_convex_hull.md.C85szPKf.js b/previews/PR259/assets/source_methods_convex_hull.md.DsezimTp.js
similarity index 99%
rename from previews/PR259/assets/source_methods_convex_hull.md.C85szPKf.js
rename to previews/PR259/assets/source_methods_convex_hull.md.DsezimTp.js
index 4a96fa6e9..e47c2e9d4 100644
--- a/previews/PR259/assets/source_methods_convex_hull.md.C85szPKf.js
+++ b/previews/PR259/assets/source_methods_convex_hull.md.DsezimTp.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/lvdeuyz.ClUWLGb5.png",t="/GeometryOps.jl/previews/PR259/assets/rmhjrlj.mCtKcWOr.png",e="/GeometryOps.jl/previews/PR259/assets/hemmjkf.DxSgu1w0.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return n(),a("div",null,s[0]||(s[0]=[l(`
Convex hull ​
The convex hull of a set of points is the smallest convex polygon that contains all the points.
GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
Example ​
Simple hull ​
julia
import GeometryOps as GO, GeoInterface as GI
+import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/ifidzel.CuQ6xaOg.png",h="/GeometryOps.jl/previews/PR259/assets/ykfdwsk.mCtKcWOr.png",e="/GeometryOps.jl/previews/PR259/assets/kmmnlnv.BJ-fni57.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return n(),a("div",null,s[0]||(s[0]=[l(`
Convex hull ​
The convex hull of a set of points is the smallest convex polygon that contains all the points.
GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
Example ​
Simple hull ​
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 
 points = randn(GO.Point2f, 100)
@@ -6,7 +6,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const h
 hull_poly = GO.convex_hull(points)
 lines!(a, hull_poly; label = "Convex hull", color = Makie.wong_colors()[2])
 axislegend(a)
-f
Convex hull of the USA ​
julia
import GeometryOps as GO, GeoInterface as GI
+f
Convex hull of the USA ​
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 using NaturalEarth # for data
 
@@ -14,7 +14,7 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const h
 usa = all_adm0.geometry[findfirst(==("USA"), all_adm0.ADM0_A3)]
 f, a, p = lines(usa)
 lines!(a, GO.convex_hull(usa); color = Makie.wong_colors()[2])
-f
Investigating the winding order ​
The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.
GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.
In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!
We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...
julia
import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
+f
Investigating the winding order ​
The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.
GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.
In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!
We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...
julia
import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
 using CairoMakie # to plot
 
 points = rand(Point2{Float64}, 100)
diff --git a/previews/PR259/assets/source_methods_convex_hull.md.C85szPKf.lean.js b/previews/PR259/assets/source_methods_convex_hull.md.DsezimTp.lean.js
similarity index 60%
rename from previews/PR259/assets/source_methods_convex_hull.md.C85szPKf.lean.js
rename to previews/PR259/assets/source_methods_convex_hull.md.DsezimTp.lean.js
index cba4e4460..121bf8453 100644
--- a/previews/PR259/assets/source_methods_convex_hull.md.C85szPKf.lean.js
+++ b/previews/PR259/assets/source_methods_convex_hull.md.DsezimTp.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/lvdeuyz.ClUWLGb5.png",t="/GeometryOps.jl/previews/PR259/assets/rmhjrlj.mCtKcWOr.png",e="/GeometryOps.jl/previews/PR259/assets/hemmjkf.DxSgu1w0.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return n(),a("div",null,s[0]||(s[0]=[l("",35)]))}const u=i(p,[["render",k]]);export{c as __pageData,u as default};
+import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/ifidzel.CuQ6xaOg.png",h="/GeometryOps.jl/previews/PR259/assets/ykfdwsk.mCtKcWOr.png",e="/GeometryOps.jl/previews/PR259/assets/kmmnlnv.BJ-fni57.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return n(),a("div",null,s[0]||(s[0]=[l("",35)]))}const u=i(p,[["render",k]]);export{c as __pageData,u as default};
diff --git a/previews/PR259/assets/source_methods_distance.md.BiREGcW9.js b/previews/PR259/assets/source_methods_distance.md.CS0zsiKS.js
similarity index 99%
rename from previews/PR259/assets/source_methods_distance.md.BiREGcW9.js
rename to previews/PR259/assets/source_methods_distance.md.CS0zsiKS.js
index f04df427d..037ce7c32 100644
--- a/previews/PR259/assets/source_methods_distance.md.BiREGcW9.js
+++ b/previews/PR259/assets/source_methods_distance.md.CS0zsiKS.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/ykjufqt.DiwGEg2f.png",k="/GeometryOps.jl/previews/PR259/assets/ofcembu.CSlwc-Vp.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return n(),a("div",null,s[0]||(s[0]=[h(`
Distance and signed distance ​
julia
export distance, signed_distance
What is distance? What is signed distance? ​
Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all "non-filled" geometries, like curves, the distance will either be positive or 0.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/cbphmub.DiwGEg2f.png",k="/GeometryOps.jl/previews/PR259/assets/pzxxmit.CSlwc-Vp.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return n(),a("div",null,s[0]||(s[0]=[h(`
Distance and signed distance ​
julia
export distance, signed_distance
What is distance? What is signed distance? ​
Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all "non-filled" geometries, like curves, the distance will either be positive or 0.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_distance.md.BiREGcW9.lean.js b/previews/PR259/assets/source_methods_distance.md.CS0zsiKS.lean.js
similarity index 78%
rename from previews/PR259/assets/source_methods_distance.md.BiREGcW9.lean.js
rename to previews/PR259/assets/source_methods_distance.md.CS0zsiKS.lean.js
index b4a082123..2714969ea 100644
--- a/previews/PR259/assets/source_methods_distance.md.BiREGcW9.lean.js
+++ b/previews/PR259/assets/source_methods_distance.md.CS0zsiKS.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/ykjufqt.DiwGEg2f.png",k="/GeometryOps.jl/previews/PR259/assets/ofcembu.CSlwc-Vp.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return n(),a("div",null,s[0]||(s[0]=[h("",54)]))}const o=i(p,[["render",l]]);export{F as __pageData,o as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/cbphmub.DiwGEg2f.png",k="/GeometryOps.jl/previews/PR259/assets/pzxxmit.CSlwc-Vp.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return n(),a("div",null,s[0]||(s[0]=[h("",54)]))}const o=i(p,[["render",l]]);export{F as __pageData,o as default};
diff --git a/previews/PR259/assets/source_methods_equals.md.C0JGt2AW.js b/previews/PR259/assets/source_methods_equals.md.D83aqY81.js
similarity index 99%
rename from previews/PR259/assets/source_methods_equals.md.C0JGt2AW.js
rename to previews/PR259/assets/source_methods_equals.md.D83aqY81.js
index 2fdb9f264..b69bdb8fb 100644
--- a/previews/PR259/assets/source_methods_equals.md.C0JGt2AW.js
+++ b/previews/PR259/assets/source_methods_equals.md.D83aqY81.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/peeyyat.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return n(),a("div",null,s[0]||(s[0]=[l(`
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 i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/drsvfbl.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return n(),a("div",null,s[0]||(s[0]=[l(`
Equals ​
julia
export equals
What is equals? ​
The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_equals.md.C0JGt2AW.lean.js b/previews/PR259/assets/source_methods_equals.md.D83aqY81.lean.js
similarity index 87%
rename from previews/PR259/assets/source_methods_equals.md.C0JGt2AW.lean.js
rename to previews/PR259/assets/source_methods_equals.md.D83aqY81.lean.js
index 48edeff22..e6edc285f 100644
--- a/previews/PR259/assets/source_methods_equals.md.C0JGt2AW.lean.js
+++ b/previews/PR259/assets/source_methods_equals.md.D83aqY81.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/peeyyat.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return n(),a("div",null,s[0]||(s[0]=[l("",47)]))}const o=i(p,[["render",h]]);export{F as __pageData,o as default};
+import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/drsvfbl.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return n(),a("div",null,s[0]||(s[0]=[l("",47)]))}const o=i(p,[["render",h]]);export{F as __pageData,o as default};
diff --git a/previews/PR259/assets/source_methods_geom_relations_contains.md.VIlx77Qk.js b/previews/PR259/assets/source_methods_geom_relations_contains.md.CgzN2dAX.js
similarity index 99%
rename from previews/PR259/assets/source_methods_geom_relations_contains.md.VIlx77Qk.js
rename to previews/PR259/assets/source_methods_geom_relations_contains.md.CgzN2dAX.js
index d08729d02..1ee01a310 100644
--- a/previews/PR259/assets/source_methods_geom_relations_contains.md.VIlx77Qk.js
+++ b/previews/PR259/assets/source_methods_geom_relations_contains.md.CgzN2dAX.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const e="/GeometryOps.jl/previews/PR259/assets/djftybr._0R9BbFk.png",g=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[t(`
Contains ​
do not export to avoid conflict with Base.contains
What is contains? ​
The contains function checks if a given geometry completely contains another geometry, or in other words, that the second geometry is completely within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const e="/GeometryOps.jl/previews/PR259/assets/locpohl._0R9BbFk.png",g=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[t(`
Contains ​
do not export to avoid conflict with Base.contains
What is contains? ​
The contains function checks if a given geometry completely contains another geometry, or in other words, that the second geometry is completely within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_geom_relations_contains.md.VIlx77Qk.lean.js b/previews/PR259/assets/source_methods_geom_relations_contains.md.CgzN2dAX.lean.js
similarity index 88%
rename from previews/PR259/assets/source_methods_geom_relations_contains.md.VIlx77Qk.lean.js
rename to previews/PR259/assets/source_methods_geom_relations_contains.md.CgzN2dAX.lean.js
index 9a5ef58a9..6f3e5fdd6 100644
--- a/previews/PR259/assets/source_methods_geom_relations_contains.md.VIlx77Qk.lean.js
+++ b/previews/PR259/assets/source_methods_geom_relations_contains.md.CgzN2dAX.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const e="/GeometryOps.jl/previews/PR259/assets/djftybr._0R9BbFk.png",g=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[t("",18)]))}const c=i(h,[["render",l]]);export{g as __pageData,c as default};
+import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const e="/GeometryOps.jl/previews/PR259/assets/locpohl._0R9BbFk.png",g=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[t("",18)]))}const c=i(h,[["render",l]]);export{g as __pageData,c as default};
diff --git a/previews/PR259/assets/source_methods_geom_relations_coveredby.md.CLu86Dst.js b/previews/PR259/assets/source_methods_geom_relations_coveredby.md.sX_y8V1r.js
similarity index 99%
rename from previews/PR259/assets/source_methods_geom_relations_coveredby.md.CLu86Dst.js
rename to previews/PR259/assets/source_methods_geom_relations_coveredby.md.sX_y8V1r.js
index 0ae2cc07b..e37980d22 100644
--- a/previews/PR259/assets/source_methods_geom_relations_coveredby.md.CLu86Dst.js
+++ b/previews/PR259/assets/source_methods_geom_relations_coveredby.md.sX_y8V1r.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as e}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/fpshubg.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return n(),a("div",null,s[0]||(s[0]=[e(`
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 i,c as a,o as n,az as e}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/jbxzeyr.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return n(),a("div",null,s[0]||(s[0]=[e(`
CoveredBy ​
julia
export coveredby
What is coveredby? ​
The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn't outside of the second geometry.
To provide an example, consider this point and line:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_geom_relations_coveredby.md.CLu86Dst.lean.js b/previews/PR259/assets/source_methods_geom_relations_coveredby.md.sX_y8V1r.lean.js
similarity index 88%
rename from previews/PR259/assets/source_methods_geom_relations_coveredby.md.CLu86Dst.lean.js
rename to previews/PR259/assets/source_methods_geom_relations_coveredby.md.sX_y8V1r.lean.js
index bdbb4c834..1c9550203 100644
--- a/previews/PR259/assets/source_methods_geom_relations_coveredby.md.CLu86Dst.lean.js
+++ b/previews/PR259/assets/source_methods_geom_relations_coveredby.md.sX_y8V1r.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as e}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/fpshubg.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return n(),a("div",null,s[0]||(s[0]=[e("",45)]))}const y=i(h,[["render",t]]);export{o as __pageData,y as default};
+import{_ as i,c as a,o as n,az as e}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/jbxzeyr.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return n(),a("div",null,s[0]||(s[0]=[e("",45)]))}const y=i(h,[["render",t]]);export{o as __pageData,y as default};
diff --git a/previews/PR259/assets/source_methods_geom_relations_covers.md.5TIFrjW7.js b/previews/PR259/assets/source_methods_geom_relations_covers.md.Qct8xDi5.js
similarity index 99%
rename from previews/PR259/assets/source_methods_geom_relations_covers.md.5TIFrjW7.js
rename to previews/PR259/assets/source_methods_geom_relations_covers.md.Qct8xDi5.js
index b17001a2d..37476f5ad 100644
--- a/previews/PR259/assets/source_methods_geom_relations_covers.md.5TIFrjW7.js
+++ b/previews/PR259/assets/source_methods_geom_relations_covers.md.Qct8xDi5.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as e,az as n}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/fpshubg.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return e(),a("div",null,s[0]||(s[0]=[n(`
Covers ​
julia
export covers
What is covers? ​
The covers function checks if a given geometry completely covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as i,c as a,o as e,az as n}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/jbxzeyr.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return e(),a("div",null,s[0]||(s[0]=[n(`
Covers ​
julia
export covers
What is covers? ​
The covers function checks if a given geometry completely covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_geom_relations_covers.md.5TIFrjW7.lean.js b/previews/PR259/assets/source_methods_geom_relations_covers.md.Qct8xDi5.lean.js
similarity index 88%
rename from previews/PR259/assets/source_methods_geom_relations_covers.md.5TIFrjW7.lean.js
rename to previews/PR259/assets/source_methods_geom_relations_covers.md.Qct8xDi5.lean.js
index 7832135d0..52b0fc772 100644
--- a/previews/PR259/assets/source_methods_geom_relations_covers.md.5TIFrjW7.lean.js
+++ b/previews/PR259/assets/source_methods_geom_relations_covers.md.Qct8xDi5.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as e,az as n}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/fpshubg.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return e(),a("div",null,s[0]||(s[0]=[n("",17)]))}const E=i(p,[["render",l]]);export{g as __pageData,E as default};
+import{_ as i,c as a,o as e,az as n}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/jbxzeyr.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return e(),a("div",null,s[0]||(s[0]=[n("",17)]))}const E=i(p,[["render",l]]);export{g as __pageData,E as default};
diff --git a/previews/PR259/assets/source_methods_geom_relations_disjoint.md.QOuhVB9O.js b/previews/PR259/assets/source_methods_geom_relations_disjoint.md.B3kUZtEp.js
similarity index 99%
rename from previews/PR259/assets/source_methods_geom_relations_disjoint.md.QOuhVB9O.js
rename to previews/PR259/assets/source_methods_geom_relations_disjoint.md.B3kUZtEp.js
index 91367dc53..6e8a3977a 100644
--- a/previews/PR259/assets/source_methods_geom_relations_disjoint.md.QOuhVB9O.js
+++ b/previews/PR259/assets/source_methods_geom_relations_disjoint.md.B3kUZtEp.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/liwhgnp.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return n(),a("div",null,s[0]||(s[0]=[t(`
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 i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/piftqdk.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return n(),a("div",null,s[0]||(s[0]=[t(`
Disjoint ​
julia
export disjoint
What is disjoint? ​
The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_geom_relations_disjoint.md.QOuhVB9O.lean.js b/previews/PR259/assets/source_methods_geom_relations_disjoint.md.B3kUZtEp.lean.js
similarity index 88%
rename from previews/PR259/assets/source_methods_geom_relations_disjoint.md.QOuhVB9O.lean.js
rename to previews/PR259/assets/source_methods_geom_relations_disjoint.md.B3kUZtEp.lean.js
index 4e6bd94f5..520007fc1 100644
--- a/previews/PR259/assets/source_methods_geom_relations_disjoint.md.QOuhVB9O.lean.js
+++ b/previews/PR259/assets/source_methods_geom_relations_disjoint.md.B3kUZtEp.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/liwhgnp.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return n(),a("div",null,s[0]||(s[0]=[t("",39)]))}const y=i(l,[["render",p]]);export{o as __pageData,y as default};
+import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/piftqdk.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return n(),a("div",null,s[0]||(s[0]=[t("",39)]))}const y=i(l,[["render",p]]);export{o as __pageData,y as default};
diff --git a/previews/PR259/assets/source_methods_geom_relations_intersects.md.WNMjFrcC.js b/previews/PR259/assets/source_methods_geom_relations_intersects.md.B3WWAOpP.js
similarity index 99%
rename from previews/PR259/assets/source_methods_geom_relations_intersects.md.WNMjFrcC.js
rename to previews/PR259/assets/source_methods_geom_relations_intersects.md.B3WWAOpP.js
index 7a60fc296..0247ff80b 100644
--- a/previews/PR259/assets/source_methods_geom_relations_intersects.md.WNMjFrcC.js
+++ b/previews/PR259/assets/source_methods_geom_relations_intersects.md.B3WWAOpP.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as e,az as n}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/jquwtio.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return e(),a("div",null,s[0]||(s[0]=[n(`
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 i,c as a,o as e,az as n}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/opjywme.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return e(),a("div",null,s[0]||(s[0]=[n(`
Intersection checks ​
julia
export intersects
What is intersects? ​
The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_geom_relations_intersects.md.WNMjFrcC.lean.js b/previews/PR259/assets/source_methods_geom_relations_intersects.md.B3WWAOpP.lean.js
similarity index 88%
rename from previews/PR259/assets/source_methods_geom_relations_intersects.md.WNMjFrcC.lean.js
rename to previews/PR259/assets/source_methods_geom_relations_intersects.md.B3WWAOpP.lean.js
index 826459edc..7aad197c9 100644
--- a/previews/PR259/assets/source_methods_geom_relations_intersects.md.WNMjFrcC.lean.js
+++ b/previews/PR259/assets/source_methods_geom_relations_intersects.md.B3WWAOpP.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as e,az as n}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/jquwtio.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return e(),a("div",null,s[0]||(s[0]=[n("",18)]))}const E=i(p,[["render",l]]);export{g as __pageData,E as default};
+import{_ as i,c as a,o as e,az as n}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/opjywme.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return e(),a("div",null,s[0]||(s[0]=[n("",18)]))}const E=i(p,[["render",l]]);export{g as __pageData,E as default};
diff --git a/previews/PR259/assets/source_methods_geom_relations_overlaps.md.0TWszI_z.js b/previews/PR259/assets/source_methods_geom_relations_overlaps.md.DE3_JRNZ.js
similarity index 99%
rename from previews/PR259/assets/source_methods_geom_relations_overlaps.md.0TWszI_z.js
rename to previews/PR259/assets/source_methods_geom_relations_overlaps.md.DE3_JRNZ.js
index 62e51e2da..2c70dd2ef 100644
--- a/previews/PR259/assets/source_methods_geom_relations_overlaps.md.0TWszI_z.js
+++ b/previews/PR259/assets/source_methods_geom_relations_overlaps.md.DE3_JRNZ.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const p="/GeometryOps.jl/previews/PR259/assets/peeyyat.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return n(),a("div",null,s[0]||(s[0]=[l(`
Overlaps ​
julia
export overlaps
What is overlaps? ​
The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.
Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is collinear.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const p="/GeometryOps.jl/previews/PR259/assets/drsvfbl.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return n(),a("div",null,s[0]||(s[0]=[l(`
Overlaps ​
julia
export overlaps
What is overlaps? ​
The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.
Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is collinear.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_geom_relations_overlaps.md.0TWszI_z.lean.js b/previews/PR259/assets/source_methods_geom_relations_overlaps.md.DE3_JRNZ.lean.js
similarity index 88%
rename from previews/PR259/assets/source_methods_geom_relations_overlaps.md.0TWszI_z.lean.js
rename to previews/PR259/assets/source_methods_geom_relations_overlaps.md.DE3_JRNZ.lean.js
index 39fd7622f..400488e83 100644
--- a/previews/PR259/assets/source_methods_geom_relations_overlaps.md.0TWszI_z.lean.js
+++ b/previews/PR259/assets/source_methods_geom_relations_overlaps.md.DE3_JRNZ.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const p="/GeometryOps.jl/previews/PR259/assets/peeyyat.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return n(),a("div",null,s[0]||(s[0]=[l("",37)]))}const E=i(t,[["render",e]]);export{o as __pageData,E as default};
+import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const p="/GeometryOps.jl/previews/PR259/assets/drsvfbl.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return n(),a("div",null,s[0]||(s[0]=[l("",37)]))}const E=i(t,[["render",e]]);export{o as __pageData,E as default};
diff --git a/previews/PR259/assets/source_methods_geom_relations_touches.md.CWU5CXuI.js b/previews/PR259/assets/source_methods_geom_relations_touches.md.CVRi9dgb.js
similarity index 99%
rename from previews/PR259/assets/source_methods_geom_relations_touches.md.CWU5CXuI.js
rename to previews/PR259/assets/source_methods_geom_relations_touches.md.CVRi9dgb.js
index 747386aa8..c44ff3feb 100644
--- a/previews/PR259/assets/source_methods_geom_relations_touches.md.CWU5CXuI.js
+++ b/previews/PR259/assets/source_methods_geom_relations_touches.md.CVRi9dgb.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/dbytsic.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return n(),a("div",null,s[0]||(s[0]=[t(`
Touches ​
julia
export touches
What is touches? ​
The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/nomkzrh.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return n(),a("div",null,s[0]||(s[0]=[t(`
Touches ​
julia
export touches
What is touches? ​
The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_geom_relations_touches.md.CWU5CXuI.lean.js b/previews/PR259/assets/source_methods_geom_relations_touches.md.CVRi9dgb.lean.js
similarity index 88%
rename from previews/PR259/assets/source_methods_geom_relations_touches.md.CWU5CXuI.lean.js
rename to previews/PR259/assets/source_methods_geom_relations_touches.md.CVRi9dgb.lean.js
index 3ff7cf80c..baa65e9a1 100644
--- a/previews/PR259/assets/source_methods_geom_relations_touches.md.CWU5CXuI.lean.js
+++ b/previews/PR259/assets/source_methods_geom_relations_touches.md.CVRi9dgb.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/dbytsic.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return n(),a("div",null,s[0]||(s[0]=[t("",41)]))}const y=i(l,[["render",e]]);export{o as __pageData,y as default};
+import{_ as i,c as a,o as n,az as t}from"./chunks/framework.mcBEtuSi.js";const h="/GeometryOps.jl/previews/PR259/assets/nomkzrh.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return n(),a("div",null,s[0]||(s[0]=[t("",41)]))}const y=i(l,[["render",e]]);export{o as __pageData,y as default};
diff --git a/previews/PR259/assets/source_methods_geom_relations_within.md.Bg8YPm-m.js b/previews/PR259/assets/source_methods_geom_relations_within.md.TxMgBL2-.js
similarity index 99%
rename from previews/PR259/assets/source_methods_geom_relations_within.md.Bg8YPm-m.js
rename to previews/PR259/assets/source_methods_geom_relations_within.md.TxMgBL2-.js
index 593f3b083..3c8e7b293 100644
--- a/previews/PR259/assets/source_methods_geom_relations_within.md.Bg8YPm-m.js
+++ b/previews/PR259/assets/source_methods_geom_relations_within.md.TxMgBL2-.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/djftybr._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return n(),a("div",null,s[0]||(s[0]=[h(`
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 i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/locpohl._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return n(),a("div",null,s[0]||(s[0]=[h(`
Within ​
julia
export within
What is within? ​
The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR259/assets/source_methods_geom_relations_within.md.Bg8YPm-m.lean.js b/previews/PR259/assets/source_methods_geom_relations_within.md.TxMgBL2-.lean.js
similarity index 88%
rename from previews/PR259/assets/source_methods_geom_relations_within.md.Bg8YPm-m.lean.js
rename to previews/PR259/assets/source_methods_geom_relations_within.md.TxMgBL2-.lean.js
index 7efe3782f..f56810ef9 100644
--- a/previews/PR259/assets/source_methods_geom_relations_within.md.Bg8YPm-m.lean.js
+++ b/previews/PR259/assets/source_methods_geom_relations_within.md.TxMgBL2-.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/djftybr._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return n(),a("div",null,s[0]||(s[0]=[h("",41)]))}const y=i(l,[["render",e]]);export{o as __pageData,y as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/locpohl._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return n(),a("div",null,s[0]||(s[0]=[h("",41)]))}const y=i(l,[["render",e]]);export{o as __pageData,y as default};
diff --git a/previews/PR259/assets/source_src_apply.md.CVvCElZR.js b/previews/PR259/assets/source_src_apply.md.Kbhd3sJW.js
similarity index 99%
rename from previews/PR259/assets/source_src_apply.md.CVvCElZR.js
rename to previews/PR259/assets/source_src_apply.md.Kbhd3sJW.js
index adae5a8de..14e39e8ae 100644
--- a/previews/PR259/assets/source_src_apply.md.CVvCElZR.js
+++ b/previews/PR259/assets/source_src_apply.md.Kbhd3sJW.js
@@ -5,7 +5,7 @@ import{_ as h,C as l,c as p,o as k,az as a,j as i,a as t,G as n}from"./chunks/fr
 
 flipped_geom = GO.apply(GI.PointTrait, geom) do p
     (GI.y(p), GI.x(p))
-end
source
`,10))]),i("details",g,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOpsCore.applyreduce-source-src-apply",href:"#GeometryOpsCore.applyreduce-source-src-apply"},[i("span",{class:"jlbinding"},"GeometryOpsCore.applyreduce")],-1)),s[4]||(s[4]=t()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[5]||(s[5]=a('
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)
Apply function f to all objects with the target trait, and reduce the result with an op like +.
The order and grouping of application of op is not guaranteed.
If threaded==true threads will be used over arrays and iterables, feature collections and nested geometries.
source
',5))]),s[7]||(s[7]=a(`
What is apply? ​
apply applies some function to every geometry matching the Target GeoInterface trait, in some arbitrarily nested object made up of:
  • AbstractArrays (we also try to iterate other non-GeoInteface compatible object)
  • FeatureCollectionTrait objects
  • FeatureTrait objects
  • AbstractGeometryTrait objects
apply recursively calls itself through these nested layers until it reaches objects with the Target GeoInterface trait. When found apply applies the function f, and stops.
The outer recursive functions then progressively rebuild the object using GeoInterface objects matching the original traits.
If PointTrait is found but it is not the Target, an error is thrown. This likely means the object contains a different geometry trait to the target, such as MultiPointTrait when LineStringTrait was specified.
To handle this possibility it may be necessary to make Target a Union of traits found at the same level of nesting, and define methods of f to handle all cases.
Be careful making a union across "levels" of nesting, e.g. Union{FeatureTrait,PolygonTrait}, as _apply will just never reach PolygonTrait when all the polygons are wrapped in a FeatureTrait object.
Embedding: ​
extent and crs can be embedded in all geometries, features, and feature collections as part of apply. Geometries deeper than Target will of course not have new extent or crs embedded.
  • calc_extent signals to recalculate an Extent and embed it.
  • crs will be embedded as-is
Threading ​
Threading is used at the outermost level possible - over an array, feature collection, or e.g. a MultiPolygonTrait where each PolygonTrait sub-geometry may be calculated on a different thread.
Currently, threading defaults to false for all objects, but can be turned on by passing the keyword argument threaded=true to apply.
julia
"""
+end
source
`,10))]),i("details",g,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOpsCore.applyreduce-source-src-apply",href:"#GeometryOpsCore.applyreduce-source-src-apply"},[i("span",{class:"jlbinding"},"GeometryOpsCore.applyreduce")],-1)),s[4]||(s[4]=t()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[5]||(s[5]=a('
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)
Apply function f to all objects with the target trait, and reduce the result with an op like +.
The order and grouping of application of op is not guaranteed.
If threaded==true threads will be used over arrays and iterables, feature collections and nested geometries.
source
',5))]),s[7]||(s[7]=a(`
What is apply? ​
apply applies some function to every geometry matching the Target GeoInterface trait, in some arbitrarily nested object made up of:
  • AbstractArrays (we also try to iterate other non-GeoInteface compatible object)
  • FeatureCollectionTrait objects
  • FeatureTrait objects
  • AbstractGeometryTrait objects
apply recursively calls itself through these nested layers until it reaches objects with the Target GeoInterface trait. When found apply applies the function f, and stops.
The outer recursive functions then progressively rebuild the object using GeoInterface objects matching the original traits.
If PointTrait is found but it is not the Target, an error is thrown. This likely means the object contains a different geometry trait to the target, such as MultiPointTrait when LineStringTrait was specified.
To handle this possibility it may be necessary to make Target a Union of traits found at the same level of nesting, and define methods of f to handle all cases.
Be careful making a union across "levels" of nesting, e.g. Union{FeatureTrait,PolygonTrait}, as _apply will just never reach PolygonTrait when all the polygons are wrapped in a FeatureTrait object.
Embedding: ​
extent and crs can be embedded in all geometries, features, and feature collections as part of apply. Geometries deeper than Target will of course not have new extent or crs embedded.
  • calc_extent signals to recalculate an Extent and embed it.
  • crs will be embedded as-is
Threading ​
Threading is used at the outermost level possible - over an array, feature collection, or e.g. a MultiPolygonTrait where each PolygonTrait sub-geometry may be calculated on a different thread.
Currently, threading defaults to false for all objects, but can be turned on by passing the keyword argument threaded=true to apply.
julia
"""
     apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
 
 Reconstruct a geometry, feature, feature collection, or nested vectors of
diff --git a/previews/PR259/assets/source_src_apply.md.CVvCElZR.lean.js b/previews/PR259/assets/source_src_apply.md.Kbhd3sJW.lean.js
similarity index 100%
rename from previews/PR259/assets/source_src_apply.md.CVvCElZR.lean.js
rename to previews/PR259/assets/source_src_apply.md.Kbhd3sJW.lean.js
diff --git a/previews/PR259/assets/source_src_other_primitives.md.dtBRK5Cf.js b/previews/PR259/assets/source_src_other_primitives.md.PuhCqAkV.js
similarity index 99%
rename from previews/PR259/assets/source_src_other_primitives.md.dtBRK5Cf.js
rename to previews/PR259/assets/source_src_other_primitives.md.PuhCqAkV.js
index e21b04fd5..7833e126c 100644
--- a/previews/PR259/assets/source_src_other_primitives.md.dtBRK5Cf.js
+++ b/previews/PR259/assets/source_src_other_primitives.md.PuhCqAkV.js
@@ -1,6 +1,6 @@
 import{_ as e,C as l,c as p,o as k,j as i,az as a,a as t,G as h}from"./chunks/framework.mcBEtuSi.js";const A=JSON.parse('{"title":"Other primitives (unwrap, flatten, etc)","description":"","frontmatter":{},"headers":[],"relativePath":"source/src/other_primitives.md","filePath":"source/src/other_primitives.md","lastUpdated":null}'),r={name:"source/src/other_primitives.md"},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""},E={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""};function o(F,s,c,C,u,m){const n=l("Badge");return k(),p("div",null,[s[12]||(s[12]=i("h1",{id:"Other-primitives-(unwrap,-flatten,-etc)",tabindex:"-1"},[t("Other primitives (unwrap, flatten, etc) "),i("a",{class:"header-anchor",href:"#Other-primitives-(unwrap,-flatten,-etc)","aria-label":'Permalink to "Other primitives (unwrap, flatten, etc) {#Other-primitives-(unwrap,-flatten,-etc)}"'},"​")],-1)),s[13]||(s[13]=i("p",null,"This file defines the following primitives:",-1)),i("details",d,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOpsCore.unwrap-source-src-other_primitives",href:"#GeometryOpsCore.unwrap-source-src-other_primitives"},[i("span",{class:"jlbinding"},"GeometryOpsCore.unwrap")],-1)),s[1]||(s[1]=t()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[2]||(s[2]=a(`
julia
unwrap(target::Type{<:AbstractTrait}, obj)
-unwrap(f, target::Type{<:AbstractTrait}, obj)
Unwrap the object to vectors, down to the target trait.
If f is passed in it will be applied to the target geometries as they are found.
source
`,4))]),i("details",g,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOpsCore.flatten-source-src-other_primitives",href:"#GeometryOpsCore.flatten-source-src-other_primitives"},[i("span",{class:"jlbinding"},"GeometryOpsCore.flatten")],-1)),s[4]||(s[4]=t()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[5]||(s[5]=a(`
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
`,4))]),i("details",E,[i("summary",null,[s[6]||(s[6]=i("a",{id:"GeometryOpsCore.reconstruct-source-src-other_primitives",href:"#GeometryOpsCore.reconstruct-source-src-other_primitives"},[i("span",{class:"jlbinding"},"GeometryOpsCore.reconstruct")],-1)),s[7]||(s[7]=t()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[8]||(s[8]=a('
julia
reconstruct(geom, components)
Reconstruct geom from an iterable of component objects that match its structure.
All objects in components must have the same GeoInterface.trait.
Usually used in combination with flatten.
source
',5))]),i("details",y,[i("summary",null,[s[9]||(s[9]=i("a",{id:"GeometryOpsCore.rebuild-source-src-other_primitives",href:"#GeometryOpsCore.rebuild-source-src-other_primitives"},[i("span",{class:"jlbinding"},"GeometryOpsCore.rebuild")],-1)),s[10]||(s[10]=t()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[11]||(s[11]=a('
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
',5))]),s[14]||(s[14]=a(`
julia
"""
+unwrap(f, target::Type{<:AbstractTrait}, obj)
Unwrap the object to vectors, down to the target trait.
If f is passed in it will be applied to the target geometries as they are found.
source
`,4))]),i("details",g,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOpsCore.flatten-source-src-other_primitives",href:"#GeometryOpsCore.flatten-source-src-other_primitives"},[i("span",{class:"jlbinding"},"GeometryOpsCore.flatten")],-1)),s[4]||(s[4]=t()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[5]||(s[5]=a(`
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
`,4))]),i("details",E,[i("summary",null,[s[6]||(s[6]=i("a",{id:"GeometryOpsCore.reconstruct-source-src-other_primitives",href:"#GeometryOpsCore.reconstruct-source-src-other_primitives"},[i("span",{class:"jlbinding"},"GeometryOpsCore.reconstruct")],-1)),s[7]||(s[7]=t()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[8]||(s[8]=a('
julia
reconstruct(geom, components)
Reconstruct geom from an iterable of component objects that match its structure.
All objects in components must have the same GeoInterface.trait.
Usually used in combination with flatten.
source
',5))]),i("details",y,[i("summary",null,[s[9]||(s[9]=i("a",{id:"GeometryOpsCore.rebuild-source-src-other_primitives",href:"#GeometryOpsCore.rebuild-source-src-other_primitives"},[i("span",{class:"jlbinding"},"GeometryOpsCore.rebuild")],-1)),s[10]||(s[10]=t()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[11]||(s[11]=a('
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
',5))]),s[14]||(s[14]=a(`
julia
"""
     unwrap(target::Type{<:AbstractTrait}, obj)
     unwrap(f, target::Type{<:AbstractTrait}, obj)
 
diff --git a/previews/PR259/assets/source_src_other_primitives.md.dtBRK5Cf.lean.js b/previews/PR259/assets/source_src_other_primitives.md.PuhCqAkV.lean.js
similarity index 100%
rename from previews/PR259/assets/source_src_other_primitives.md.dtBRK5Cf.lean.js
rename to previews/PR259/assets/source_src_other_primitives.md.PuhCqAkV.lean.js
diff --git a/previews/PR259/assets/source_transformations_correction_geometry_correction.md.CJuqib7t.js b/previews/PR259/assets/source_transformations_correction_geometry_correction.md.Dl_s_MAo.js
similarity index 76%
rename from previews/PR259/assets/source_transformations_correction_geometry_correction.md.CJuqib7t.js
rename to previews/PR259/assets/source_transformations_correction_geometry_correction.md.Dl_s_MAo.js
index 9fec08da7..777ecac19 100644
--- a/previews/PR259/assets/source_transformations_correction_geometry_correction.md.CJuqib7t.js
+++ b/previews/PR259/assets/source_transformations_correction_geometry_correction.md.Dl_s_MAo.js
@@ -1,4 +1,4 @@
-import{_ as r,C as o,c as l,o as p,az as e,j as i,a as t,G as n}from"./chunks/framework.mcBEtuSi.js";const _=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),h={name:"source/transformations/correction/geometry_correction.md"},k={class:"jldocstring custom-block",open:""},c={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,C,F,b){const a=o("Badge");return p(),l("div",null,[s[15]||(s[15]=e('
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.
',8)),i("details",k,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[1]||(s[1]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[2]||(s[2]=e('
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
',5))]),s[16]||(s[16]=e(`
Any geometry correction must implement the interface as given above.
julia
"""
+import{_ as r,C as o,c as l,o as p,az as e,j as i,a as t,G as n}from"./chunks/framework.mcBEtuSi.js";const _=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),h={name:"source/transformations/correction/geometry_correction.md"},c={class:"jldocstring custom-block",open:""},k={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,C,F,b){const a=o("Badge");return p(),l("div",null,[s[15]||(s[15]=e('
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.
',8)),i("details",c,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[1]||(s[1]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[2]||(s[2]=e('
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
',5))]),s[16]||(s[16]=e(`
Any geometry correction must implement the interface as given above.
julia
"""
     abstract type GeometryCorrection
 
 This abstract type represents a geometry correction.
@@ -28,4 +28,4 @@ import{_ as r,C as o,c as l,o as p,az as e,j as i,a as t,G as n}from"./chunks/fr
         final_geometry = apply(net_function, Trait, final_geometry; kwargs...)
     end
     return final_geometry
-end
Available corrections ​
`,3)),i("details",c,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOps.ClosedRing-source-transformations-correction-geometry_correction",href:"#GeometryOps.ClosedRing-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[4]||(s[4]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[5]||(s[5]=e('
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
',5))]),i("details",y,[i("summary",null,[s[6]||(s[6]=i("a",{id:"GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[7]||(s[7]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[8]||(s[8]=e('
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
',3))]),i("details",d,[i("summary",null,[s[9]||(s[9]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[10]||(s[10]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[11]||(s[11]=e('
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
',5))]),i("details",g,[i("summary",null,[s[12]||(s[12]=i("a",{id:"GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[13]||(s[13]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[14]||(s[14]=e('
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
',4))]),s[17]||(s[17]=i("hr",null,null,-1)),s[18]||(s[18]=i("p",null,[i("em",null,[t("This page was generated using "),i("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),t(".")])],-1))])}const T=r(h,[["render",m]]);export{_ as __pageData,T as default};
+end
Available corrections ​
`,3)),i("details",k,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOps.ClosedRing-source-transformations-correction-geometry_correction",href:"#GeometryOps.ClosedRing-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[4]||(s[4]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[5]||(s[5]=e('
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
',5))]),i("details",d,[i("summary",null,[s[6]||(s[6]=i("a",{id:"GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[7]||(s[7]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[8]||(s[8]=e('
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
',3))]),i("details",y,[i("summary",null,[s[9]||(s[9]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[10]||(s[10]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[11]||(s[11]=e('
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
',5))]),i("details",g,[i("summary",null,[s[12]||(s[12]=i("a",{id:"GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[13]||(s[13]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[14]||(s[14]=e('
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
',4))]),s[17]||(s[17]=i("hr",null,null,-1)),s[18]||(s[18]=i("p",null,[i("em",null,[t("This page was generated using "),i("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),t(".")])],-1))])}const T=r(h,[["render",m]]);export{_ as __pageData,T as default};
diff --git a/previews/PR259/assets/source_transformations_correction_geometry_correction.md.CJuqib7t.lean.js b/previews/PR259/assets/source_transformations_correction_geometry_correction.md.Dl_s_MAo.lean.js
similarity index 85%
rename from previews/PR259/assets/source_transformations_correction_geometry_correction.md.CJuqib7t.lean.js
rename to previews/PR259/assets/source_transformations_correction_geometry_correction.md.Dl_s_MAo.lean.js
index 23cb733cf..fd7e9ac20 100644
--- a/previews/PR259/assets/source_transformations_correction_geometry_correction.md.CJuqib7t.lean.js
+++ b/previews/PR259/assets/source_transformations_correction_geometry_correction.md.Dl_s_MAo.lean.js
@@ -1 +1 @@
-import{_ as r,C as o,c as l,o as p,az as e,j as i,a as t,G as n}from"./chunks/framework.mcBEtuSi.js";const _=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),h={name:"source/transformations/correction/geometry_correction.md"},k={class:"jldocstring custom-block",open:""},c={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,C,F,b){const a=o("Badge");return p(),l("div",null,[s[15]||(s[15]=e("",8)),i("details",k,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[1]||(s[1]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[2]||(s[2]=e("",5))]),s[16]||(s[16]=e("",3)),i("details",c,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOps.ClosedRing-source-transformations-correction-geometry_correction",href:"#GeometryOps.ClosedRing-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[4]||(s[4]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[5]||(s[5]=e("",5))]),i("details",y,[i("summary",null,[s[6]||(s[6]=i("a",{id:"GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[7]||(s[7]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[8]||(s[8]=e("",3))]),i("details",d,[i("summary",null,[s[9]||(s[9]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[10]||(s[10]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[11]||(s[11]=e("",5))]),i("details",g,[i("summary",null,[s[12]||(s[12]=i("a",{id:"GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[13]||(s[13]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[14]||(s[14]=e("",4))]),s[17]||(s[17]=i("hr",null,null,-1)),s[18]||(s[18]=i("p",null,[i("em",null,[t("This page was generated using "),i("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),t(".")])],-1))])}const T=r(h,[["render",m]]);export{_ as __pageData,T as default};
+import{_ as r,C as o,c as l,o as p,az as e,j as i,a as t,G as n}from"./chunks/framework.mcBEtuSi.js";const _=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),h={name:"source/transformations/correction/geometry_correction.md"},c={class:"jldocstring custom-block",open:""},k={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,C,F,b){const a=o("Badge");return p(),l("div",null,[s[15]||(s[15]=e("",8)),i("details",c,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[1]||(s[1]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[2]||(s[2]=e("",5))]),s[16]||(s[16]=e("",3)),i("details",k,[i("summary",null,[s[3]||(s[3]=i("a",{id:"GeometryOps.ClosedRing-source-transformations-correction-geometry_correction",href:"#GeometryOps.ClosedRing-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.ClosedRing")],-1)),s[4]||(s[4]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[5]||(s[5]=e("",5))]),i("details",d,[i("summary",null,[s[6]||(s[6]=i("a",{id:"GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons")],-1)),s[7]||(s[7]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[8]||(s[8]=e("",3))]),i("details",y,[i("summary",null,[s[9]||(s[9]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2"},[i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection")],-1)),s[10]||(s[10]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[11]||(s[11]=e("",5))]),i("details",g,[i("summary",null,[s[12]||(s[12]=i("a",{id:"GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction"},[i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons")],-1)),s[13]||(s[13]=t()),n(a,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[14]||(s[14]=e("",4))]),s[17]||(s[17]=i("hr",null,null,-1)),s[18]||(s[18]=i("p",null,[i("em",null,[t("This page was generated using "),i("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),t(".")])],-1))])}const T=r(h,[["render",m]]);export{_ as __pageData,T as default};
diff --git a/previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.D3Q-1by7.js b/previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.Kc5GxVrF.js
similarity index 93%
rename from previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.D3Q-1by7.js
rename to previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.Kc5GxVrF.js
index 1be5b3779..12255ca17 100644
--- a/previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.D3Q-1by7.js
+++ b/previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.Kc5GxVrF.js
@@ -1,7 +1,7 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const d=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),h={name:"source/transformations/correction/intersecting_polygons.md"};function t(p,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[l(`
Intersecting Polygons ​
julia
export UnionIntersectingPolygons
If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirement for a valid multipolygon. However, different libraries may achieve this in different ways.
For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the UnionIntersectingPolygons correction.
The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon's that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.
Example ​
Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.
For example, the following multipolygon is not valid:
julia
import GeoInterface as GI
+import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const d=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),p={name:"source/transformations/correction/intersecting_polygons.md"};function h(t,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[l(`
Intersecting Polygons ​
julia
export UnionIntersectingPolygons
If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirement for a valid multipolygon. However, different libraries may achieve this in different ways.
For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the UnionIntersectingPolygons correction.
The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon's that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.
Example ​
Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.
For example, the following multipolygon is not valid:
julia
import GeoInterface as GI
 polygon = GI.Polygon([[(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)]])
-multipolygon = GI.MultiPolygon([polygon, polygon])
GeoInterface.Wrappers.MultiPolygon{false, false}([GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])]), GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])])])
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}([GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])])])
You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.
Implementation ​
julia
"""
+multipolygon = GI.MultiPolygon([polygon, polygon])
GeoInterface.Wrappers.MultiPolygon{false, false}([GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])]), GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])])])
given that the two sub-polygons are the exact same shape.
@example
import GeometryOps as GO
+GO.fix(multipolygon, corrections = [GO.UnionIntersectingPolygons()])
You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.
Implementation ​
julia
"""
     UnionIntersectingPolygons() <: GeometryCorrection
 
 This correction ensures that the polygon's included in a multipolygon aren't intersecting.
@@ -94,4 +94,4 @@ import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const d
         keepat!(diff_multipoly.geom, keep_idx)
     end
     return diff_multipoly
-end
This page was generated using Literate.jl.
`,22)]))}const y=i(h,[["render",t]]);export{d as __pageData,y as default};
+end
This page was generated using Literate.jl.
`,21)]))}const y=i(p,[["render",h]]);export{d as __pageData,y as default};
diff --git a/previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.D3Q-1by7.lean.js b/previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.Kc5GxVrF.lean.js
similarity index 65%
rename from previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.D3Q-1by7.lean.js
rename to previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.Kc5GxVrF.lean.js
index 21de63624..1e27e9c06 100644
--- a/previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.D3Q-1by7.lean.js
+++ b/previews/PR259/assets/source_transformations_correction_intersecting_polygons.md.Kc5GxVrF.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const d=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),h={name:"source/transformations/correction/intersecting_polygons.md"};function t(p,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[l("",22)]))}const y=i(h,[["render",t]]);export{d as __pageData,y as default};
+import{_ as i,c as a,o as n,az as l}from"./chunks/framework.mcBEtuSi.js";const d=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),p={name:"source/transformations/correction/intersecting_polygons.md"};function h(t,s,k,e,r,E){return n(),a("div",null,s[0]||(s[0]=[l("",21)]))}const y=i(p,[["render",h]]);export{d as __pageData,y as default};
diff --git a/previews/PR259/assets/source_transformations_segmentize.md.BSWtZ6uM.js b/previews/PR259/assets/source_transformations_segmentize.md.cTDQnynI.js
similarity index 99%
rename from previews/PR259/assets/source_transformations_segmentize.md.BSWtZ6uM.js
rename to previews/PR259/assets/source_transformations_segmentize.md.cTDQnynI.js
index 2efb8f093..0e88eabd7 100644
--- a/previews/PR259/assets/source_transformations_segmentize.md.BSWtZ6uM.js
+++ b/previews/PR259/assets/source_transformations_segmentize.md.cTDQnynI.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/oryldqg.D5-bot8v.png",l="/GeometryOps.jl/previews/PR259/assets/gektpcp.BaImpRtB.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),k={name:"source/transformations/segmentize.md"};function e(p,s,r,d,E,g){return n(),a("div",null,s[0]||(s[0]=[h(`
Segmentize ​
julia
export segmentize
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/fytoaiu.D5-bot8v.png",l="/GeometryOps.jl/previews/PR259/assets/pevsyum.BQvae1s1.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),k={name:"source/transformations/segmentize.md"};function e(p,s,r,d,E,g){return n(),a("div",null,s[0]||(s[0]=[h(`
Segmentize ​
julia
export segmentize
 export LinearSegments, GeodesicSegments
This function "segmentizes" or "densifies" a geometry by adding extra vertices to the geometry so that no segment is longer than a given distance. This is useful for plotting geometries with a limited number of vertices, or for ensuring that a geometry is not too "coarse" for a given application.
Info
We plan to add interpolated segmentization from DataInterpolations.jl in the future, which will be available to any vector of point-like objects.
For now, this function only works on 2D geometries.  We will also support 3D geometries, as well as measure interpolation, in the future.
Examples ​
julia
import GeometryOps as GO, GeoInterface as GI
 rectangle = GI.Wrappers.Polygon([[(0.0, 50.0), (7.071, 57.07), (0, 64.14), (-7.07, 57.07), (0.0, 50.0)]])
 linear = GO.segmentize(rectangle; max_distance = 5)
diff --git a/previews/PR259/assets/source_transformations_segmentize.md.BSWtZ6uM.lean.js b/previews/PR259/assets/source_transformations_segmentize.md.cTDQnynI.lean.js
similarity index 68%
rename from previews/PR259/assets/source_transformations_segmentize.md.BSWtZ6uM.lean.js
rename to previews/PR259/assets/source_transformations_segmentize.md.cTDQnynI.lean.js
index 0994ec429..1378420f3 100644
--- a/previews/PR259/assets/source_transformations_segmentize.md.BSWtZ6uM.lean.js
+++ b/previews/PR259/assets/source_transformations_segmentize.md.cTDQnynI.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/oryldqg.D5-bot8v.png",l="/GeometryOps.jl/previews/PR259/assets/gektpcp.BaImpRtB.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),k={name:"source/transformations/segmentize.md"};function e(p,s,r,d,E,g){return n(),a("div",null,s[0]||(s[0]=[h("",39)]))}const F=i(k,[["render",e]]);export{o as __pageData,F as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/fytoaiu.D5-bot8v.png",l="/GeometryOps.jl/previews/PR259/assets/pevsyum.BQvae1s1.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),k={name:"source/transformations/segmentize.md"};function e(p,s,r,d,E,g){return n(),a("div",null,s[0]||(s[0]=[h("",39)]))}const F=i(k,[["render",e]]);export{o as __pageData,F as default};
diff --git a/previews/PR259/assets/source_transformations_simplify.md.CGLyBXhr.js b/previews/PR259/assets/source_transformations_simplify.md.7t6xu-a1.js
similarity index 99%
rename from previews/PR259/assets/source_transformations_simplify.md.CGLyBXhr.js
rename to previews/PR259/assets/source_transformations_simplify.md.7t6xu-a1.js
index 25c04fc88..7549ee417 100644
--- a/previews/PR259/assets/source_transformations_simplify.md.CGLyBXhr.js
+++ b/previews/PR259/assets/source_transformations_simplify.md.7t6xu-a1.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/zmkscox.Bglvb-jp.png",k="/GeometryOps.jl/previews/PR259/assets/cxxsirk.B94PsR1K.png",t="/GeometryOps.jl/previews/PR259/assets/lratuul.dWQJO9xl.png",p="/GeometryOps.jl/previews/PR259/assets/hkdryle.Bv9yzSwF.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return n(),a("div",null,s[0]||(s[0]=[h(`
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 i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/jgenehz.Bglvb-jp.png",k="/GeometryOps.jl/previews/PR259/assets/wnsinzo.B94PsR1K.png",t="/GeometryOps.jl/previews/PR259/assets/ltpuwqf.BJOgYTTM.png",p="/GeometryOps.jl/previews/PR259/assets/xikmlzv.D2HA1hzZ.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return n(),a("div",null,s[0]||(s[0]=[h(`
Geometry simplification ​
This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
Examples ​
A quick and dirty example is:
julia
using Makie, GeoInterfaceMakie
 import GeoInterface as GI
 import GeometryOps as GO
 
diff --git a/previews/PR259/assets/source_transformations_simplify.md.CGLyBXhr.lean.js b/previews/PR259/assets/source_transformations_simplify.md.7t6xu-a1.lean.js
similarity index 56%
rename from previews/PR259/assets/source_transformations_simplify.md.CGLyBXhr.lean.js
rename to previews/PR259/assets/source_transformations_simplify.md.7t6xu-a1.lean.js
index a36b7b221..cf8256d5c 100644
--- a/previews/PR259/assets/source_transformations_simplify.md.CGLyBXhr.lean.js
+++ b/previews/PR259/assets/source_transformations_simplify.md.7t6xu-a1.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/zmkscox.Bglvb-jp.png",k="/GeometryOps.jl/previews/PR259/assets/cxxsirk.B94PsR1K.png",t="/GeometryOps.jl/previews/PR259/assets/lratuul.dWQJO9xl.png",p="/GeometryOps.jl/previews/PR259/assets/hkdryle.Bv9yzSwF.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return n(),a("div",null,s[0]||(s[0]=[h("",71)]))}const C=i(e,[["render",E]]);export{c as __pageData,C as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const l="/GeometryOps.jl/previews/PR259/assets/jgenehz.Bglvb-jp.png",k="/GeometryOps.jl/previews/PR259/assets/wnsinzo.B94PsR1K.png",t="/GeometryOps.jl/previews/PR259/assets/ltpuwqf.BJOgYTTM.png",p="/GeometryOps.jl/previews/PR259/assets/xikmlzv.D2HA1hzZ.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return n(),a("div",null,s[0]||(s[0]=[h("",71)]))}const C=i(e,[["render",E]]);export{c as __pageData,C as default};
diff --git a/previews/PR259/assets/source_utils_STRDualQuery.md.CdYCwv_Y.js b/previews/PR259/assets/source_utils_STRDualQuery.md.BtZT1ewz.js
similarity index 93%
rename from previews/PR259/assets/source_utils_STRDualQuery.md.CdYCwv_Y.js
rename to previews/PR259/assets/source_utils_STRDualQuery.md.BtZT1ewz.js
index aed7701c4..53799affc 100644
--- a/previews/PR259/assets/source_utils_STRDualQuery.md.CdYCwv_Y.js
+++ b/previews/PR259/assets/source_utils_STRDualQuery.md.BtZT1ewz.js
@@ -15,8 +15,6 @@ import{_ as a,c as i,o as n,az as e}from"./chunks/framework.mcBEtuSi.js";const o
 import GeoInterface as GI
 
 "helper function to get the extent of any STR node, since leaf nodes don't store global extent."
-node_extent(node::STRNode) = node.extent
-node_extent(node::STRLeafNode) = reduce(Extents.union, node.extents)
 
 """
     maybe_overlapping_geoms_and_query_lists_in_order(tree_a::STRtree, tree_b::STRtree, edges_a::Vector{<: GI.Line}, edges_b::Vector{<: GI.Line})
@@ -57,7 +55,7 @@ import{_ as a,c as i,o as n,az as e}from"./chunks/framework.mcBEtuSi.js";const o
     node_b::Union{STRNode,STRLeafNode},
     edges_a::Vector{<: GI.Line},
     edges_b::Vector{<: GI.Line}
-)
Early exit if bounding boxes don't overlap
julia
    if !Extents.intersects(node_extent(node_a), node_extent(node_b))
+)
Early exit if bounding boxes don't overlap
julia
    if !Extents.intersects(GI.extent(node_a), GI.extent(node_b))
         return
     end
Case 1: Both nodes are leaves
julia
    if node_a isa STRLeafNode && node_b isa STRLeafNode
         for idx_a in node_a.indices
@@ -157,4 +155,4 @@ import{_ as a,c as i,o as n,az as e}from"./chunks/framework.mcBEtuSi.js";const o
     # Test empty tree with empty tree
     result3 = maybe_overlapping_geoms_and_query_lists_in_order(empty_tree, empty_tree)
     @test isempty(result3)
-end
end
This page was generated using Literate.jl.
`,25)]))}const E=a(p,[["render",l]]);export{o as __pageData,E as default};
+end
end
This page was generated using Literate.jl.
`,25)]))}const c=a(p,[["render",l]]);export{o as __pageData,c as default};
diff --git a/previews/PR259/assets/source_utils_STRDualQuery.md.CdYCwv_Y.lean.js b/previews/PR259/assets/source_utils_STRDualQuery.md.BtZT1ewz.lean.js
similarity index 72%
rename from previews/PR259/assets/source_utils_STRDualQuery.md.CdYCwv_Y.lean.js
rename to previews/PR259/assets/source_utils_STRDualQuery.md.BtZT1ewz.lean.js
index 9be29fdbd..065859b45 100644
--- a/previews/PR259/assets/source_utils_STRDualQuery.md.CdYCwv_Y.lean.js
+++ b/previews/PR259/assets/source_utils_STRDualQuery.md.BtZT1ewz.lean.js
@@ -1 +1 @@
-import{_ as a,c as i,o as n,az as e}from"./chunks/framework.mcBEtuSi.js";const o=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils/STRDualQuery.md","filePath":"source/utils/STRDualQuery.md","lastUpdated":null}'),p={name:"source/utils/STRDualQuery.md"};function l(t,s,h,k,r,d){return n(),i("div",null,s[0]||(s[0]=[e("",25)]))}const E=a(p,[["render",l]]);export{o as __pageData,E as default};
+import{_ as a,c as i,o as n,az as e}from"./chunks/framework.mcBEtuSi.js";const o=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils/STRDualQuery.md","filePath":"source/utils/STRDualQuery.md","lastUpdated":null}'),p={name:"source/utils/STRDualQuery.md"};function l(t,s,h,k,r,d){return n(),i("div",null,s[0]||(s[0]=[e("",25)]))}const c=a(p,[["render",l]]);export{o as __pageData,c as default};
diff --git a/previews/PR259/assets/mzfaxpf.Cb0_DiYE.png b/previews/PR259/assets/tdtjlfv.Cb0_DiYE.png
similarity index 100%
rename from previews/PR259/assets/mzfaxpf.Cb0_DiYE.png
rename to previews/PR259/assets/tdtjlfv.Cb0_DiYE.png
diff --git a/previews/PR259/assets/tutorials_creating_geometry.md.cmMoMkYm.js b/previews/PR259/assets/tutorials_creating_geometry.md.KKAr36jr.js
similarity index 99%
rename from previews/PR259/assets/tutorials_creating_geometry.md.cmMoMkYm.js
rename to previews/PR259/assets/tutorials_creating_geometry.md.KKAr36jr.js
index 642205884..510c59f1b 100644
--- a/previews/PR259/assets/tutorials_creating_geometry.md.cmMoMkYm.js
+++ b/previews/PR259/assets/tutorials_creating_geometry.md.KKAr36jr.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as t,az as e}from"./chunks/framework.mcBEtuSi.js";const n="/GeometryOps.jl/previews/PR259/assets/gndpngj.Dz86q2IX.png",h="/GeometryOps.jl/previews/PR259/assets/eszdrmb.Cx40vhB3.png",p="/GeometryOps.jl/previews/PR259/assets/hfcyqzz.0OJvb21A.png",l="/GeometryOps.jl/previews/PR259/assets/lpkchxq.DaovVbE6.png",k="/GeometryOps.jl/previews/PR259/assets/twfeprn.B9NpLJr_.png",r="/GeometryOps.jl/previews/PR259/assets/vwpdddx.CG4dr3Lx.png",d="/GeometryOps.jl/previews/PR259/assets/rifctxq.3sfpQl2i.png",o="/GeometryOps.jl/previews/PR259/assets/mdypbur.Dab1-ETk.png",g="/GeometryOps.jl/previews/PR259/assets/fhasrqb.C4--srcf.png",E="/GeometryOps.jl/previews/PR259/assets/opybygz.niLCt72m.png",c="/GeometryOps.jl/previews/PR259/assets/czstwla.DuRAWgH5.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function u(F,s,C,m,b,v){return t(),a("div",null,s[0]||(s[0]=[e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
+import{_ as i,c as a,o as t,az as e}from"./chunks/framework.mcBEtuSi.js";const n="/GeometryOps.jl/previews/PR259/assets/kxdvzuc.Dz86q2IX.png",h="/GeometryOps.jl/previews/PR259/assets/wtrbvkh.Cx40vhB3.png",p="/GeometryOps.jl/previews/PR259/assets/udwcilo.0OJvb21A.png",l="/GeometryOps.jl/previews/PR259/assets/gahyaod.DaovVbE6.png",k="/GeometryOps.jl/previews/PR259/assets/wgdatcw.B9NpLJr_.png",r="/GeometryOps.jl/previews/PR259/assets/xnnvwmq.CG4dr3Lx.png",d="/GeometryOps.jl/previews/PR259/assets/mvxalhg.3sfpQl2i.png",o="/GeometryOps.jl/previews/PR259/assets/akxuysk.Dab1-ETk.png",g="/GeometryOps.jl/previews/PR259/assets/zhgkkba.C4--srcf.png",E="/GeometryOps.jl/previews/PR259/assets/irpmxop.niLCt72m.png",c="/GeometryOps.jl/previews/PR259/assets/jfdzwod.DuRAWgH5.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function u(F,s,C,m,b,v){return t(),a("div",null,s[0]||(s[0]=[e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
diff --git a/previews/PR259/assets/tutorials_creating_geometry.md.KKAr36jr.lean.js b/previews/PR259/assets/tutorials_creating_geometry.md.KKAr36jr.lean.js
new file mode 100644
index 000000000..2e2e1452b
--- /dev/null
+++ b/previews/PR259/assets/tutorials_creating_geometry.md.KKAr36jr.lean.js
@@ -0,0 +1 @@
+import{_ as i,c as a,o as t,az as e}from"./chunks/framework.mcBEtuSi.js";const n="/GeometryOps.jl/previews/PR259/assets/kxdvzuc.Dz86q2IX.png",h="/GeometryOps.jl/previews/PR259/assets/wtrbvkh.Cx40vhB3.png",p="/GeometryOps.jl/previews/PR259/assets/udwcilo.0OJvb21A.png",l="/GeometryOps.jl/previews/PR259/assets/gahyaod.DaovVbE6.png",k="/GeometryOps.jl/previews/PR259/assets/wgdatcw.B9NpLJr_.png",r="/GeometryOps.jl/previews/PR259/assets/xnnvwmq.CG4dr3Lx.png",d="/GeometryOps.jl/previews/PR259/assets/mvxalhg.3sfpQl2i.png",o="/GeometryOps.jl/previews/PR259/assets/akxuysk.Dab1-ETk.png",g="/GeometryOps.jl/previews/PR259/assets/zhgkkba.C4--srcf.png",E="/GeometryOps.jl/previews/PR259/assets/irpmxop.niLCt72m.png",c="/GeometryOps.jl/previews/PR259/assets/jfdzwod.DuRAWgH5.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function u(F,s,C,m,b,v){return t(),a("div",null,s[0]||(s[0]=[e("",120)]))}const A=i(y,[["render",u]]);export{D as __pageData,A as default};
diff --git a/previews/PR259/assets/tutorials_creating_geometry.md.cmMoMkYm.lean.js b/previews/PR259/assets/tutorials_creating_geometry.md.cmMoMkYm.lean.js
deleted file mode 100644
index 3e24efcdc..000000000
--- a/previews/PR259/assets/tutorials_creating_geometry.md.cmMoMkYm.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as i,c as a,o as t,az as e}from"./chunks/framework.mcBEtuSi.js";const n="/GeometryOps.jl/previews/PR259/assets/gndpngj.Dz86q2IX.png",h="/GeometryOps.jl/previews/PR259/assets/eszdrmb.Cx40vhB3.png",p="/GeometryOps.jl/previews/PR259/assets/hfcyqzz.0OJvb21A.png",l="/GeometryOps.jl/previews/PR259/assets/lpkchxq.DaovVbE6.png",k="/GeometryOps.jl/previews/PR259/assets/twfeprn.B9NpLJr_.png",r="/GeometryOps.jl/previews/PR259/assets/vwpdddx.CG4dr3Lx.png",d="/GeometryOps.jl/previews/PR259/assets/rifctxq.3sfpQl2i.png",o="/GeometryOps.jl/previews/PR259/assets/mdypbur.Dab1-ETk.png",g="/GeometryOps.jl/previews/PR259/assets/fhasrqb.C4--srcf.png",E="/GeometryOps.jl/previews/PR259/assets/opybygz.niLCt72m.png",c="/GeometryOps.jl/previews/PR259/assets/czstwla.DuRAWgH5.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function u(F,s,C,m,b,v){return t(),a("div",null,s[0]||(s[0]=[e("",120)]))}const A=i(y,[["render",u]]);export{D as __pageData,A as default};
diff --git a/previews/PR259/assets/tutorials_geodesic_paths.md.Bi6AfT8k.js b/previews/PR259/assets/tutorials_geodesic_paths.md.DVzoewbj.js
similarity index 97%
rename from previews/PR259/assets/tutorials_geodesic_paths.md.Bi6AfT8k.js
rename to previews/PR259/assets/tutorials_geodesic_paths.md.DVzoewbj.js
index dff17b34a..54ae28a7f 100644
--- a/previews/PR259/assets/tutorials_geodesic_paths.md.Bi6AfT8k.js
+++ b/previews/PR259/assets/tutorials_geodesic_paths.md.DVzoewbj.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/tyqfueu.DI6pFDzZ.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(e,s,l,E,r,d){return n(),a("div",null,s[0]||(s[0]=[h(`
Geodesic paths ​
Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
julia
import GeometryOps as GO, GeoInterface as GI
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/julymcg.DI6pFDzZ.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,r,d){return n(),a("div",null,s[0]||(s[0]=[h(`
Geodesic paths ​
Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie, GeoMakie
 
 
diff --git a/previews/PR259/assets/tutorials_geodesic_paths.md.Bi6AfT8k.lean.js b/previews/PR259/assets/tutorials_geodesic_paths.md.DVzoewbj.lean.js
similarity index 75%
rename from previews/PR259/assets/tutorials_geodesic_paths.md.Bi6AfT8k.lean.js
rename to previews/PR259/assets/tutorials_geodesic_paths.md.DVzoewbj.lean.js
index 1059b24c1..37629b306 100644
--- a/previews/PR259/assets/tutorials_geodesic_paths.md.Bi6AfT8k.lean.js
+++ b/previews/PR259/assets/tutorials_geodesic_paths.md.DVzoewbj.lean.js
@@ -1 +1 @@
-import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/tyqfueu.DI6pFDzZ.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(e,s,l,E,r,d){return n(),a("div",null,s[0]||(s[0]=[h("",4)]))}const y=i(p,[["render",k]]);export{o as __pageData,y as default};
+import{_ as i,c as a,o as n,az as h}from"./chunks/framework.mcBEtuSi.js";const t="/GeometryOps.jl/previews/PR259/assets/julymcg.DI6pFDzZ.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,r,d){return n(),a("div",null,s[0]||(s[0]=[h("",4)]))}const y=i(p,[["render",k]]);export{o as __pageData,y as default};
diff --git a/previews/PR259/assets/tutorials_spatial_joins.md.BhkCpzpU.js b/previews/PR259/assets/tutorials_spatial_joins.md.C5qn5hXN.js
similarity index 99%
rename from previews/PR259/assets/tutorials_spatial_joins.md.BhkCpzpU.js
rename to previews/PR259/assets/tutorials_spatial_joins.md.C5qn5hXN.js
index 151cce1db..377eb8b7d 100644
--- a/previews/PR259/assets/tutorials_spatial_joins.md.BhkCpzpU.js
+++ b/previews/PR259/assets/tutorials_spatial_joins.md.C5qn5hXN.js
@@ -1,4 +1,4 @@
-import{_ as l,c as t,o as n,j as i,az as h,a}from"./chunks/framework.mcBEtuSi.js";const e="/GeometryOps.jl/previews/PR259/assets/orziclx.3UVIT8DR.png",p="/GeometryOps.jl/previews/PR259/assets/ehpuvwt.CSAMkaNh.png",k="/GeometryOps.jl/previews/PR259/assets/lxudkwo.ClxMIRwN.png",C=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),r={name:"tutorials/spatial_joins.md"},E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={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"};function o(g,s,y,F,c,u){return n(),t("div",null,[s[12]||(s[12]=i("h1",{id:"Spatial-joins",tabindex:"-1"},[a("Spatial joins "),i("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1)),i("p",null,[s[2]||(s[2]=a("Spatial joins are ")),s[3]||(s[3]=i("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1)),s[4]||(s[4]=a(" which are based not on equality, but on some predicate ")),i("mjx-container",E,[(n(),t("svg",d,s[0]||(s[0]=[h('',1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"p"),i("mo",{stretchy:"false"},"("),i("mi",null,"x"),i("mo",null,","),i("mi",null,"y"),i("mo",{stretchy:"false"},")")])],-1))]),s[5]||(s[5]=a(", which takes two geometries, and returns a value of either ")),s[6]||(s[6]=i("code",null,"true",-1)),s[7]||(s[7]=a(" or ")),s[8]||(s[8]=i("code",null,"false",-1)),s[9]||(s[9]=a(". For geometries, the ")),s[10]||(s[10]=i("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[i("code",null,"DE-9IM")],-1)),s[11]||(s[11]=a(" spatial relationship model is used to determine the spatial relationship between two geometries."))]),s[13]||(s[13]=h(`
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, for any kind of table join operation:
julia
using FlexiJoins
+import{_ as l,c as t,o as n,j as i,az as h,a}from"./chunks/framework.mcBEtuSi.js";const e="/GeometryOps.jl/previews/PR259/assets/izbsurh.3UVIT8DR.png",p="/GeometryOps.jl/previews/PR259/assets/hbovccs.Ooo070yi.png",k="/GeometryOps.jl/previews/PR259/assets/lwksvhj.Cb9ft44q.png",C=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),r={name:"tutorials/spatial_joins.md"},E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={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"};function o(g,s,y,F,c,u){return n(),t("div",null,[s[12]||(s[12]=i("h1",{id:"Spatial-joins",tabindex:"-1"},[a("Spatial joins "),i("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1)),i("p",null,[s[2]||(s[2]=a("Spatial joins are ")),s[3]||(s[3]=i("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1)),s[4]||(s[4]=a(" which are based not on equality, but on some predicate ")),i("mjx-container",E,[(n(),t("svg",d,s[0]||(s[0]=[h('',1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"p"),i("mo",{stretchy:"false"},"("),i("mi",null,"x"),i("mo",null,","),i("mi",null,"y"),i("mo",{stretchy:"false"},")")])],-1))]),s[5]||(s[5]=a(", which takes two geometries, and returns a value of either ")),s[6]||(s[6]=i("code",null,"true",-1)),s[7]||(s[7]=a(" or ")),s[8]||(s[8]=i("code",null,"false",-1)),s[9]||(s[9]=a(". For geometries, the ")),s[10]||(s[10]=i("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[i("code",null,"DE-9IM")],-1)),s[11]||(s[11]=a(" spatial relationship model is used to determine the spatial relationship between two geometries."))]),s[13]||(s[13]=h(`
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, for any kind of table join operation:
julia
using FlexiJoins
 innerjoin((table1, table1),
     by_pred(:table1_column, predicate_function, :table2_column) # & add other conditions here
 )
diff --git a/previews/PR259/assets/tutorials_spatial_joins.md.BhkCpzpU.lean.js b/previews/PR259/assets/tutorials_spatial_joins.md.C5qn5hXN.lean.js
similarity index 92%
rename from previews/PR259/assets/tutorials_spatial_joins.md.BhkCpzpU.lean.js
rename to previews/PR259/assets/tutorials_spatial_joins.md.C5qn5hXN.lean.js
index 35ad51bfb..c1d769108 100644
--- a/previews/PR259/assets/tutorials_spatial_joins.md.BhkCpzpU.lean.js
+++ b/previews/PR259/assets/tutorials_spatial_joins.md.C5qn5hXN.lean.js
@@ -1 +1 @@
-import{_ as l,c as t,o as n,j as i,az as h,a}from"./chunks/framework.mcBEtuSi.js";const e="/GeometryOps.jl/previews/PR259/assets/orziclx.3UVIT8DR.png",p="/GeometryOps.jl/previews/PR259/assets/ehpuvwt.CSAMkaNh.png",k="/GeometryOps.jl/previews/PR259/assets/lxudkwo.ClxMIRwN.png",C=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),r={name:"tutorials/spatial_joins.md"},E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={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"};function o(g,s,y,F,c,u){return n(),t("div",null,[s[12]||(s[12]=i("h1",{id:"Spatial-joins",tabindex:"-1"},[a("Spatial joins "),i("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1)),i("p",null,[s[2]||(s[2]=a("Spatial joins are ")),s[3]||(s[3]=i("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1)),s[4]||(s[4]=a(" which are based not on equality, but on some predicate ")),i("mjx-container",E,[(n(),t("svg",d,s[0]||(s[0]=[h("",1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"p"),i("mo",{stretchy:"false"},"("),i("mi",null,"x"),i("mo",null,","),i("mi",null,"y"),i("mo",{stretchy:"false"},")")])],-1))]),s[5]||(s[5]=a(", which takes two geometries, and returns a value of either ")),s[6]||(s[6]=i("code",null,"true",-1)),s[7]||(s[7]=a(" or ")),s[8]||(s[8]=i("code",null,"false",-1)),s[9]||(s[9]=a(". For geometries, the ")),s[10]||(s[10]=i("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[i("code",null,"DE-9IM")],-1)),s[11]||(s[11]=a(" spatial relationship model is used to determine the spatial relationship between two geometries."))]),s[13]||(s[13]=h("",37))])}const T=l(r,[["render",o]]);export{C as __pageData,T as default};
+import{_ as l,c as t,o as n,j as i,az as h,a}from"./chunks/framework.mcBEtuSi.js";const e="/GeometryOps.jl/previews/PR259/assets/izbsurh.3UVIT8DR.png",p="/GeometryOps.jl/previews/PR259/assets/hbovccs.Ooo070yi.png",k="/GeometryOps.jl/previews/PR259/assets/lwksvhj.Cb9ft44q.png",C=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),r={name:"tutorials/spatial_joins.md"},E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={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"};function o(g,s,y,F,c,u){return n(),t("div",null,[s[12]||(s[12]=i("h1",{id:"Spatial-joins",tabindex:"-1"},[a("Spatial joins "),i("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1)),i("p",null,[s[2]||(s[2]=a("Spatial joins are ")),s[3]||(s[3]=i("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1)),s[4]||(s[4]=a(" which are based not on equality, but on some predicate ")),i("mjx-container",E,[(n(),t("svg",d,s[0]||(s[0]=[h("",1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"p"),i("mo",{stretchy:"false"},"("),i("mi",null,"x"),i("mo",null,","),i("mi",null,"y"),i("mo",{stretchy:"false"},")")])],-1))]),s[5]||(s[5]=a(", which takes two geometries, and returns a value of either ")),s[6]||(s[6]=i("code",null,"true",-1)),s[7]||(s[7]=a(" or ")),s[8]||(s[8]=i("code",null,"false",-1)),s[9]||(s[9]=a(". For geometries, the ")),s[10]||(s[10]=i("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[i("code",null,"DE-9IM")],-1)),s[11]||(s[11]=a(" spatial relationship model is used to determine the spatial relationship between two geometries."))]),s[13]||(s[13]=h("",37))])}const T=l(r,[["render",o]]);export{C as __pageData,T as default};
diff --git a/previews/PR259/assets/hfcyqzz.0OJvb21A.png b/previews/PR259/assets/udwcilo.0OJvb21A.png
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diff --git a/previews/PR259/assets/cxxsirk.B94PsR1K.png b/previews/PR259/assets/wnsinzo.B94PsR1K.png
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rename from previews/PR259/assets/cxxsirk.B94PsR1K.png
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diff --git a/previews/PR259/assets/eszdrmb.Cx40vhB3.png b/previews/PR259/assets/wtrbvkh.Cx40vhB3.png
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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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 using NaturalEarth
 
 all_adm0 = naturalearth("admin_0_countries", 10)
FeatureCollection with 258 Features
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GO.area(all_adm0)
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AccurateArithmetic.sum_oro(GO.area.(all_adm0.geometry))
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AccurateArithmetic.sum_kbn(GO.area.(all_adm0.geometry))
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GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum
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GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_oro
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@example accurate GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_kbn ```

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     display(fig)
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Dashboard ​
julia
using WGLMakie
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Dashboard ​
julia
using WGLMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
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 GO.intersection(p1_m, p2_m; target = GI.PolygonTrait(), fix_multipoly = nothing)
 LG.intersection(p1_m, p2_m)
Incircle ​

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GeometryOps.jl
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GeometryOps.jl
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Manifolds ​
A manifold is, mathematically, a description of some space that is locally Euclidean (i.e., locally flat). All geographic projections, and the surface of the sphere and ellipsoid, fall under this category of space - and these are all the spaces that are relevant to geographic geometry.
What manifolds are available? ​
GeometryOps has three Manifold types: Planar, Spherical, and Geodesic.
  • Planar() is, as the name suggests, a perfectly Cartesian, usually 2-dimensional, space. The shortest path from one point to another is a straight line.
  • Spherical(; radius) describes points on the surface of a sphere of a given radius. The most convenient sphere for geometry processing is the unit sphere, but one can also use the sphere of the Earth for e.g. projections.
  • Geodesic(; semimajor_axis, inv_flattening) describes points on the surface of a flattened ellipsoid, similar to the Earth. The parameters describe the curvature and shape of the ellipsoid, and are equivalent to the flags +a and +f in Proj's ellipsoid specification. The default values are the values of the WGS84 ellipsoid. For Geodesic, we need an AbstractGeodesic that can wrap representations from Proj.jl and SphericalGeodesics.jl.
The idea here is that the manifold describes how the geometry needs to be treated.
Why this is needed ​
The classical problem this is intended to solve is that in GIS, latitude and longitude coordinates are often treated as planar coordinates, when they in fact live on the sphere/ellipsoid, and must be treated as such. For example, computing the area of the USA on the lat/long plane yields a result of 1116, which is plainly nonsensical.
How this is done ​
In order to avoid this, we've introduced three complementary CRS-related systems to the JuliaGeo ecosystem.
  1. GeoInterface's crstrait. This is a method that returns the ideal CRS type of a geometry, either Cartesian or Geographic.
  2. Proj's PreparedCRS type, which extracts ellipsoid parameters and the nature of the projection from a coordinate reference system, and caches the results in a struct. This allows GeometryOps to quickly determine the correct manifold to use for a given geometry.
  3. GeometryOps's Manifold type, which defines the surface on which to perform operations. This is what allows GeometryOps to perform calculations correctly depending on the nature of the geometry.
The way this flow works, is that when you load a geometry using GeoDataFrames, its CRS is extracted and parsed into a PreparedCRS type. This is then used to determine the manifold to use for the geometry, and the geometry is converted to the manifold's coordinate system.
There is a table of known geographic coordinate systems in GeoFormatTypes.jl, and anything else is assumed to be a Cartesian or planar coordinate system. CRStrait is used as the cheap determinant, but PreparedCRS is more general and better to use if possible.
When GeometryOps sees a geometry, it first checks its CRS to see if it is a geographic coordinate system. If it is, it uses the PreparedCRS, or falls back to crstrait and geographic defaults to determine the manifold.
Algorithms and manifolds ​
Algorithms define what operation is performed on the geometry; however, the choice of algorithm can also depend on the manifold. L'Huilier's algorithm for the area of a polygon is not applicable to the plane, but is applicable to either the sphere or ellipsoid, for example.

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GeometryOps.jl
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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.)

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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

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GeometryOps.jl
Appearance

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diff --git a/previews/PR259/hashmap.json b/previews/PR259/hashmap.json
index 033066545..8b0f45a66 100644
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+++ b/previews/PR259/hashmap.json
@@ -1 +1 @@
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diff --git a/previews/PR259/index.html b/previews/PR259/index.html
index d23f78a19..65872ca47 100644
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GeometryOps.jl
Appearance
GeometryOps.jl
Blazing fast geometry operations in pure Julia
Introduction
View on Github
API Reference
GeometryOps
Julia code
Pure Julia code
Fast, understandable, extensible functions
Literate programming
Documented source code with examples!
Full integration with GeoInterface
Use any GeoInterface.jl-compatible geometry
What is GeometryOps.jl? ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.
We welcome contributions, either as pull requests or discussion on issues!
How to navigate the docs ​
GeometryOps' docs are divided into three main sections: tutorials, explanations and source code.
 Documentation and examples for many functions can be found in the source code section, since we use literate programming in GeometryOps.
  • Tutorials are meant to teach the fundamental concepts behind GeometryOps, and how to perform certain operations.
  • Explanations usually contain little code, and explain in more detail how GeometryOps works.
  • Source code usually contains explanations and examples at the top of the page, followed by annotated source code from that file.

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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.

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diff --git a/previews/PR259/source/GeometryOps.html b/previews/PR259/source/GeometryOps.html
index 2c804c458..307e48f44 100644
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 end
 
 end
This page was generated using Literate.jl.

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diff --git a/previews/PR259/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.html b/previews/PR259/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.html
index 88b4e7236..14f383e57 100644
--- a/previews/PR259/source/GeometryOpsFlexiJoinsExt/GeometryOpsFlexiJoinsExt.html
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@@ -9,9 +9,9 @@
     
     
     
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@@ -37,7 +37,7 @@
 FlexiJoins.swap_sides(::typeof(GO.within)) = GO.contains
 FlexiJoins.swap_sides(::typeof(GO.coveredby)) = GO.covers
 FlexiJoins.swap_sides(::typeof(GO.covers)) = GO.coveredby
That's a wrap, folks!
julia
end
This page was generated using Literate.jl.
- + \ No newline at end of file diff --git a/previews/PR259/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.html b/previews/PR259/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.html index c4b10d44b..b2c7b52ad 100644 --- a/previews/PR259/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.html +++ b/previews/PR259/source/GeometryOpsLibGEOSExt/GeometryOpsLibGEOSExt.html @@ -9,9 +9,9 @@ - + - + @@ -52,7 +52,7 @@ include("simple_overrides.jl") end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/GeometryOpsLibGEOSExt/buffer.html b/previews/PR259/source/GeometryOpsLibGEOSExt/buffer.html index 69ea6bc5b..798ef1a6b 100644 --- a/previews/PR259/source/GeometryOpsLibGEOSExt/buffer.html +++ b/previews/PR259/source/GeometryOpsLibGEOSExt/buffer.html @@ -9,9 +9,9 @@ - + - + @@ -52,7 +52,7 @@ return _wrap(newgeom; crs = GI.crs(geom), calc_extent) end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/GeometryOpsLibGEOSExt/segmentize.html b/previews/PR259/source/GeometryOpsLibGEOSExt/segmentize.html index 45cbaa697..cda9687cc 100644 --- a/previews/PR259/source/GeometryOpsLibGEOSExt/segmentize.html +++ b/previews/PR259/source/GeometryOpsLibGEOSExt/segmentize.html @@ -9,9 +9,9 @@ - + - + @@ -42,7 +42,7 @@ threaded ) end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/GeometryOpsLibGEOSExt/simple_overrides.html b/previews/PR259/source/GeometryOpsLibGEOSExt/simple_overrides.html index c844b5d44..44e3d7f70 100644 --- a/previews/PR259/source/GeometryOpsLibGEOSExt/simple_overrides.html +++ b/previews/PR259/source/GeometryOpsLibGEOSExt/simple_overrides.html @@ -9,9 +9,9 @@ - + - + @@ -67,7 +67,7 @@ calc_extent = false ) end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/GeometryOpsLibGEOSExt/simplify.html b/previews/PR259/source/GeometryOpsLibGEOSExt/simplify.html index ccce5199d..62f4a2daf 100644 --- a/previews/PR259/source/GeometryOpsLibGEOSExt/simplify.html +++ b/previews/PR259/source/GeometryOpsLibGEOSExt/simplify.html @@ -9,9 +9,9 @@ - + - + @@ -50,7 +50,7 @@ kw... ) end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/GeometryOpsProjExt/GeometryOpsProjExt.html b/previews/PR259/source/GeometryOpsProjExt/GeometryOpsProjExt.html index e1fb1bf60..f170361fa 100644 --- a/previews/PR259/source/GeometryOpsProjExt/GeometryOpsProjExt.html +++ b/previews/PR259/source/GeometryOpsProjExt/GeometryOpsProjExt.html @@ -9,9 +9,9 @@ - + - + @@ -29,7 +29,7 @@ include("segmentize.jl") end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/GeometryOpsProjExt/reproject.html b/previews/PR259/source/GeometryOpsProjExt/reproject.html index 8da591e6f..62c81c824 100644 --- a/previews/PR259/source/GeometryOpsProjExt/reproject.html +++ b/previews/PR259/source/GeometryOpsProjExt/reproject.html @@ -9,9 +9,9 @@ - + - + @@ -65,7 +65,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/GeometryOpsProjExt/segmentize.html b/previews/PR259/source/GeometryOpsProjExt/segmentize.html index e241a9fff..a675b2bd8 100644 --- a/previews/PR259/source/GeometryOpsProjExt/segmentize.html +++ b/previews/PR259/source/GeometryOpsProjExt/segmentize.html @@ -9,9 +9,9 @@ - + - + @@ -52,7 +52,7 @@ end

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/angles.html b/previews/PR259/source/methods/angles.html index 01c3d622b..6bef46c1c 100644 --- a/previews/PR259/source/methods/angles.html +++ b/previews/PR259/source/methods/angles.html @@ -9,11 +9,11 @@ - + - + - + @@ -26,7 +26,7 @@ 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
@@ -145,7 +145,7 @@
     angle = real(acos(val) * 180 / π)
     return angle * (cross_prod < 0 ? -1 : 1)
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/area.html b/previews/PR259/source/methods/area.html index bcf103b74..65632da11 100644 --- a/previews/PR259/source/methods/area.html +++ b/previews/PR259/source/methods/area.html @@ -9,11 +9,11 @@ - + - + - + @@ -27,10 +27,10 @@ using CairoMakie rect = GI.Polygon([[(0,0), (0,1), (1,1), (1,0), (0, 0)]]) -f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

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

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

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

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

The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a positive area.

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

Implementation ​

This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that area and signed area are zero for all points and curves, even if the curves are closed like with a linear ring. Also note that signed area really only makes sense for polygons, given with a multipolygon can have several polygons each with a different orientation and thus the absolute value of the signed area might not be the area. This is why signed area is only implemented for polygons.

Targets for applys functions

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

The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a positive area.

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

Implementation ​

This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that area and signed area are zero for all points and curves, even if the curves are closed like with a linear ring. Also note that signed area really only makes sense for polygons, given with a multipolygon can have several polygons each with a different orientation and thus the absolute value of the signed area might not be the area. This is why signed area is only implemented for polygons.

Targets for applys functions

julia
const _AREA_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
 
 """
     area(geom, [T = Float64])::T
@@ -108,7 +108,7 @@
     area += _area_component(p1, p2)
     return T(area / 2)
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/barycentric.html b/previews/PR259/source/methods/barycentric.html index 9bec4c042..e98486f97 100644 --- a/previews/PR259/source/methods/barycentric.html +++ b/previews/PR259/source/methods/barycentric.html @@ -9,11 +9,11 @@ - + - + - + @@ -88,7 +88,7 @@ # and render! hm = heatmap!(a2, xrange, yrange, mean_values; colormap = p1.colormap, colorrange = p1.plots[1].colorrange[], xautolimits = false, yautolimits = false) translate!(hm, 0, 0, -1) # translate the heatmap behind the cropping polygon! -f # finally, display the figure

Barycentric-coordinate API ​

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

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

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

Barycentric-coordinate API ​

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

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

julia
const _VecTypes = Union{Tuple{Vararg{T, N}}, GeometryBasics.StaticArraysCore.StaticArray{Tuple{N}, T, 1}} where {N, T}
 
 """
     abstract type AbstractBarycentricCoordinateMethod
@@ -436,7 +436,7 @@
 
 struct Wachspress <: AbstractBarycentricCoordinateMethod
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/buffer.html b/previews/PR259/source/methods/buffer.html index 2846458e0..ec8c65ffb 100644 --- a/previews/PR259/source/methods/buffer.html +++ b/previews/PR259/source/methods/buffer.html @@ -9,9 +9,9 @@ - + - + @@ -32,7 +32,7 @@ println(io, " in your REPL, \nor otherwise loading LibGEOS.jl via using or import.") end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/centroid.html b/previews/PR259/source/methods/centroid.html index 60c36e614..3b3dac588 100644 --- a/previews/PR259/source/methods/centroid.html +++ b/previews/PR259/source/methods/centroid.html @@ -9,11 +9,11 @@ - + - + - + @@ -27,9 +27,9 @@ using CairoMakie cshape = GI.Polygon([[(0,0), (0,3), (3,3), (3,2), (1,2), (1,1), (3,1), (3,0), (0,0)]]) -f, a, p = poly(collect(GI.getpoint(cshape)); axis = (; aspect = DataAspect()))

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

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

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.

The helper functions centroid_and_length and centroid_and_area are made available just in case the user also needs the area or length to decrease repeat computation.

julia
"""
+f

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.

The helper functions centroid_and_length and centroid_and_area are made available just in case the user also needs the area or length to decrease repeat computation.

julia
"""
     centroid(geom, [T=Float64])::Tuple{T, T}
 
 Returns the centroid of a given line segment, linear ring, polygon, or
@@ -114,7 +114,7 @@
     y = (y1 * area1 + y2 * area2) / area
     return (x, y), area
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/clipping/clipping_processor.html b/previews/PR259/source/methods/clipping/clipping_processor.html index db97b5add..bd1124216 100644 --- a/previews/PR259/source/methods/clipping/clipping_processor.html +++ b/previews/PR259/source/methods/clipping/clipping_processor.html @@ -9,11 +9,11 @@ - + - + - + @@ -21,7 +21,43 @@ -
GeometryOps.jl

Appearance

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
+    
GeometryOps.jl
Appearance
Polygon clipping helpers ​
This file contains the shared helper functions for the polygon clipping functionalities.
This file specifically defines helpers for the Foster-Hormann clipping algorithm.
julia
"""
+    abstract type IntersectionAccelerator
+
+The abstract supertype for all intersection accelerator types.
+
+The idea is that these speed up the edge-edge intersection checking process,
+perhaps at the cost of memory.
+
+The naive case is `NestedLoop`, which is just a nested loop, running in O(n*m) time.
+
+Then we have `SingleSTRtree`, which is a single STRtree, running in O(n*log(m)) time.
+
+Then we have `DoubleSTRtree`, which is am simultaneous double-tree traversal of two STRtrees.
+
+Finally, we have `AutoAccelerator`, which is an automatic accelerator that chooses the best
+accelerator based on the size of the input polygons.  This gets materialized in build_a_list for now.
+"""
+abstract type IntersectionAccelerator end
+struct NestedLoop <: IntersectionAccelerator end
+struct SingleSTRtree <: IntersectionAccelerator end
+struct DoubleSTRtree <: IntersectionAccelerator end
+struct AutoAccelerator <: IntersectionAccelerator end
+
+"""
+    FosterHormannClipping{M <: Manifold, A <: Union{Nothing, Accelerator}} <: GeometryOpsCore.Algorithm{M}
+
+A type that represents the Foster-Hormann clipping algorithm.
Arguments
julia
- `manifold::M`: The manifold on which the algorithm operates.
+- `accelerator::A`: The accelerator to use for the algorithm.  Can be `nothing` for automatic choice, or a custom accelerator.
+"""
+struct FosterHormannClipping{M <: Manifold, A <: IntersectionAccelerator} <: GeometryOpsCore.Algorithm{M}
+    manifold::M
+    accelerator::A
TODO: add exact flag TODO: should exact flag be in the type domain?
julia
end
+
+
+FosterHormannClipping(; manifold::Manifold = Planar(), accelerator = nothing) = FosterHormannClipping(manifold, isnothing(accelerator) ? AutoAccelerator() : accelerator)
+FosterHormannClipping(manifold::Manifold, accelerator::Union{Nothing, IntersectionAccelerator} = nothing) = FosterHormannClipping(manifold, isnothing(accelerator) ? AutoAccelerator() : accelerator)
+FosterHormannClipping(accelerator::Union{Nothing, IntersectionAccelerator}) = FosterHormannClipping(Planar(), isnothing(accelerator) ? AutoAccelerator() : accelerator)
special case for spherical / geodesic manifolds since they can't use STRtrees (because those don't work on the sphere)
julia
FosterHormannClipping(manifold::Union{Spherical, Geodesic}, accelerator::Union{Nothing, IntersectionAccelerator} = nothing) = FosterHormannClipping(manifold, isnothing(accelerator) ? NestedLoop() : (accelerator isa AutoAccelerator ? NestedLoop() : accelerator))
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
@@ -57,31 +93,75 @@
 GI.ncoord(::GI.PointTrait, p::PolyNode{T}) where T = 2 # TODO: change this to accomodate 3D spherical points
 GI.getcoord(::GI.PointTrait, p::PolyNode{T}, i::Int) where T = p.point[i]
 GI.crs(p::PolyNode{T}) where T = nothing # TODO: change this to accomodate 3D spherical points
Checks equality of two PolyNodes by backing point value, fractional value, and intersection status
julia
equals(pn1::PolyNode, pn2::PolyNode) = pn1.point == pn2.point && pn1.inter == pn2.inter && pn1.fracs == pn2.fracs
-Base.:(==)(pn1::PolyNode, pn2::PolyNode) = equals(pn1, pn2)
_build_ab_list(::Type{T}, poly_a, poly_b, delay_cross_f, delay_bounce_f; exact) ->
-    (a_list, b_list, a_idx_list)
This function takes in two polygon rings and calls '_build_a_list', '_build_b_list', and '_flag_ent_exit' in order to fully form a_list and b_list. The 'a_list' and 'b_list' that it returns are the fully updated vectors of PolyNodes that represent the rings 'poly_a' and 'poly_b', respectively. This function also returns 'a_idx_list', which at its "ith" index stores the index in 'a_list' at which the "ith" intersection point lies.
julia
function _build_ab_list(::Type{T}, poly_a, poly_b, delay_cross_f::F1, delay_bounce_f::F2; exact) where {T, F1, F2}
Make a list for nodes of each polygon
julia
    a_list, a_idx_list, n_b_intrs = _build_a_list(T, poly_a, poly_b; exact)
-    b_list = _build_b_list(T, a_idx_list, a_list, n_b_intrs, poly_b)
Flag crossings
julia
    _classify_crossing!(T, a_list, b_list; exact)
Flag the entry and exits
julia
    _flag_ent_exit!(T, GI.LinearRingTrait(), poly_b, a_list, delay_cross_f, Base.Fix2(delay_bounce_f, true); exact)
-    _flag_ent_exit!(T, GI.LinearRingTrait(), poly_a, b_list, delay_cross_f, Base.Fix2(delay_bounce_f, false); exact)
Set node indices and filter a_idx_list to just crossing points
julia
    _index_crossing_intrs!(a_list, b_list, a_idx_list)
+Base.:(==)(pn1::PolyNode, pn2::PolyNode) = equals(pn1, pn2)
Finally, we define a nice error type for when the clipping tracing algorithm hits every point in a polygon. This stores the polygons, the a_list, and the b_list, and the a_idx_list. allowing the user to understand what happened and why.
julia
"""
+    TracingHitEveryPointError{T1, T2} <: Exception
+
+An error that is thrown when the clipping tracing algorithm hits every point in a polygon.
+This is a bug in the algorithm, and should be reported.
+
+The polygons are contained in the exception object, accessible by try-catch or as `err` in the REPL.
+"""
+struct TracingHitEveryPointError{T1, T2, T} <: Exception
+    poly_a::T1
+    poly_b::T2
+    a_list::Vector{PolyNode{T}}
+    b_list::Vector{PolyNode{T}}
+    a_idx_list::Vector{Int}
+end
+
+function Base.showerror(io::IO, e::TracingHitEveryPointError{T1, T2}) where {T1, T2}
+    println(io, "TracingHitEveryPointError: Clipping tracing hit every point - clipping error. Please open an issue with the polygons contained in this error object.")
+    println(io)
+    if max(GI.npoint(e.poly_a), GI.npoint(e.poly_b)) < 10
+        println(io, "Polygon A:")
+        println(io, GI.coordinates(e.poly_a))
+        println(io)
+        println(io, "Polygon B:")
+        println(io, GI.coordinates(e.poly_b))
+    else
+        println(io, "The polygons are contained in the exception object, accessible by try-catch or as `err` in the REPL.")
+    end
+end
_build_ab_list(::Type{T}, poly_a, poly_b, delay_cross_f, delay_bounce_f; exact) ->
+    (a_list, b_list, a_idx_list)
This function takes in two polygon rings and calls '_build_a_list', '_build_b_list', and '_flag_ent_exit' in order to fully form a_list and b_list. The 'a_list' and 'b_list' that it returns are the fully updated vectors of PolyNodes that represent the rings 'poly_a' and 'poly_b', respectively. This function also returns 'a_idx_list', which at its "ith" index stores the index in 'a_list' at which the "ith" intersection point lies.
julia
function _build_ab_list(alg::FosterHormannClipping, ::Type{T}, poly_a, poly_b, delay_cross_f::F1, delay_bounce_f::F2; exact) where {T, F1, F2}
Make a list for nodes of each polygon
julia
    a_list, a_idx_list, n_b_intrs = _build_a_list(alg, T, poly_a, poly_b; exact)
+    b_list = _build_b_list(alg, T, a_idx_list, a_list, n_b_intrs, poly_b)
Flag crossings
julia
    _classify_crossing!(alg, T, a_list, b_list; exact)
Flag the entry and exits
julia
    _flag_ent_exit!(alg, T, GI.LinearRingTrait(), poly_b, a_list, delay_cross_f, Base.Fix2(delay_bounce_f, true); exact)
+    _flag_ent_exit!(alg, T, GI.LinearRingTrait(), poly_a, b_list, delay_cross_f, Base.Fix2(delay_bounce_f, false); exact)
Set node indices and filter a_idx_list to just crossing points
julia
    _index_crossing_intrs!(alg, a_list, b_list, a_idx_list)
 
     return a_list, b_list, a_idx_list
 end
 
 "The number of vertices past which we should use a STRtree for edge intersection checking."
-const GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS = 75
+const GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS = 75
Fallback convenience method so we can just pass the algorithm in
julia
function foreach_pair_of_maybe_intersecting_edges_in_order(
+    alg::FosterHormannClipping{M, A}, f_on_each_a::FA, f_after_each_a::FAAfter, f_on_each_maybe_intersect::FI, poly_a, poly_b, _t::Type{T} = Float64
+) where {FA, FAAfter, FI, T, M, A}
+    return foreach_pair_of_maybe_intersecting_edges_in_order(alg.manifold, alg.accelerator, f_on_each_a, f_after_each_a, f_on_each_maybe_intersect, poly_a, poly_b, T)
+end
+
 function foreach_pair_of_maybe_intersecting_edges_in_order(
-    f_on_each_a::FA, f_after_each_a::FAAfter, f_on_each_maybe_intersect::FI, poly_a, poly_b, _t::Type{T} = Float64
-) where {FA, FAAfter, FI, T}
TODO: dispatch on manifold this is suitable for planar but spherical / geodesic will need s2 support at some point, or – even now – just buffering
julia
    na = GI.npoint(poly_a)
+    manifold::M, accelerator::A, f_on_each_a::FA, f_after_each_a::FAAfter, f_on_each_maybe_intersect::FI, poly_a, poly_b, _t::Type{T} = Float64
+) where {FA, FAAfter, FI, T, M <: Manifold, A <: IntersectionAccelerator}
TODO: dispatch on manifold this is suitable for planar but spherical / geodesic will need s2 support at some point, or – even now – just buffering
julia
    na = GI.npoint(poly_a)
     nb = GI.npoint(poly_b)
 
+    accelerator = if accelerator isa AutoAccelerator
+        if na < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
+            NestedLoop()
+        elseif na < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb > GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
+            SingleSTRtree()
+        else
+            DoubleSTRtree()
+        end
+    else
+        accelerator
+    end
 
-    if na < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
if we don't have enough vertices in either of the polygons to merit an STRtree, then we can just do a simple nested loop this becomes extremely useful in e.g. regridding, where we know the polygon will only ever have a few vertices. This is also applicable to any manifold, since the checking is done within the loop. First, loop over "each edge" in poly_a
julia
        for (i, (a1t, a2t)) in enumerate(eachedge(poly_a, T))
+    if accelerator isa NestedLoop
if we don't have enough vertices in either of the polygons to merit an STRtree, then we can just do a simple nested loop this becomes extremely useful in e.g. regridding, where we know the polygon will only ever have a few vertices. This is also applicable to any manifold, since the checking is done within the loop. First, loop over "each edge" in poly_a
julia
        for (i, (a1t, a2t)) in enumerate(eachedge(poly_a, T))
             a1t == a2t && continue
             f_on_each_a(a1t, i)
             for (j, (b1t, b2t)) in enumerate(eachedge(poly_b, T))
                 b1t == b2t && continue
-                LoopStateMachine.@processloopaction f_on_each_maybe_intersect(((a1t, a2t), i), ((b1t, b2t), j))
+                LoopStateMachine.@processloopaction f_on_each_maybe_intersect(((a1t, a2t), i), ((b1t, b2t), j)) # this should be aware of manifold by construction.
             end
             f_after_each_a(a1t, i)
-        end
And we're done!
julia
    elseif na < GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb > GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
This is the "middle ground" case - run only a strtree on poly_b without doing so on poly_a. This is less complex than running a dual tree traversal, and reduces the overhead of constructing an edge list and tree on poly_a.
julia
        ext_a, ext_b = GI.extent(poly_a), GI.extent(poly_b)
+        end
And we're done!
julia
    elseif accelerator isa SingleSTRtree
This is the "middle ground" case - run only a strtree on poly_b without doing so on poly_a. This is less complex than running a dual tree traversal, and reduces the overhead of constructing an edge list and tree on poly_a.
julia
        ext_a, ext_b = GI.extent(poly_a), GI.extent(poly_b)
         edges_b, indices_b = to_edgelist(ext_a, poly_b, T)
         tree_b = STRtree(edges_b)
Loop over each vertex in poly_a
julia
        for (i, (a1t, a2t)) in enumerate(eachedge(poly_a, T))
             a1t == a2t && continue
@@ -100,7 +180,7 @@
             end
             f_after_each_a(a1t, i)
         end
-    elseif na >= GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS && nb >= GEOMETRYOPS_NO_OPTIMIZE_EDGEINTERSECT_NUMVERTS
If both of the polygons are quite large, then we do a dual-tree traversal of the STRtrees and find all potentially overlapping edges. This is kind of like an adjacency list of a graph or a sparse matrix that we're constructing.
First, we materialize an edge list for each polygon as a vector of GI.Line objects.
julia
        ext_a = GI.extent(poly_a)
+    elseif accelerator isa DoubleSTRtree
If both of the polygons are quite large, then we do a dual-tree traversal of the STRtrees and find all potentially overlapping edges. This is kind of like an adjacency list of a graph or a sparse matrix that we're constructing.
First, we materialize an edge list for each polygon as a vector of GI.Line objects.
julia
        ext_a = GI.extent(poly_a)
         ext_b = GI.extent(poly_b)
         edges_a, indices_a = to_edgelist(ext_b, poly_a, T) # ::Vector{GI.Line} # with precalculated extents
         edges_b, indices_b = to_edgelist(ext_a, poly_b, T) # ::Vector{GI.Line} # with precalculated extents
Now, construct STRtrees from the edge lists. TODO: we can optimize the strtrees by passing in only edges that reside within the area of extent overlap between poly_a and poly_b. this would greatly help for e.g. coverage transactions BUT this needs fixes in SortTileRecursiveTree.jl to allow you to pass in a vector of indices as well as extents / geometries.
julia
        tree_a = STRtree(edges_a)
@@ -132,12 +212,11 @@
 
             last_a_idx_orig = a_idx_orig
 
-        end
-    end
+        end
println("DOUBLE TREE TRAVERSAL")
julia
    end
 
     return nothing
 
-end
_build_a_list(::Type{T}, poly_a, poly_b) -> (a_list, a_idx_list)
This function take in two polygon rings and creates a vector of PolyNodes to represent poly_a, including its intersection points with poly_b. The information stored in each PolyNode is needed for clipping using the Greiner-Hormann clipping algorithm.
Note: After calling this function, a_list is not fully formed because the neighboring indices of the intersection points in b_list still need to be updated. Also we still have not update the entry and exit flags for a_list.
The a_idx_list is a list of the indices of intersection points in a_list. The value at index i of a_idx_list is the location in a_list where the ith intersection point lies.
julia
function _build_a_list(::Type{T}, poly_a, poly_b; exact) where T
+end
_build_a_list(::Type{T}, poly_a, poly_b) -> (a_list, a_idx_list)
This function take in two polygon rings and creates a vector of PolyNodes to represent poly_a, including its intersection points with poly_b. The information stored in each PolyNode is needed for clipping using the Greiner-Hormann clipping algorithm.
Note: After calling this function, a_list is not fully formed because the neighboring indices of the intersection points in b_list still need to be updated. Also we still have not update the entry and exit flags for a_list.
The a_idx_list is a list of the indices of intersection points in a_list. The value at index i of a_idx_list is the location in a_list where the ith intersection point lies.
julia
function _build_a_list(alg::FosterHormannClipping{M, A}, ::Type{T}, poly_a, poly_b; exact) where {T, M, A}
     n_a_edges = _nedge(poly_a)
     a_list = PolyNode{T}[]  # list of points in poly_a
     sizehint!(a_list, n_a_edges)
@@ -166,7 +245,7 @@
         if (b_pt1 == b_pt2)  # don't repeat points
             b_pt1 = b_pt2
             return
-        end
Determine if edges intersect and how they intersect
julia
        line_orient, intr1, intr2 = _intersection_point(T, (a_pt1, a_pt2), (b_pt1, b_pt2); exact)
+        end
Determine if edges intersect and how they intersect
julia
        line_orient, intr1, intr2 = _intersection_point(alg.manifold, T, (a_pt1, a_pt2), (b_pt1, b_pt2); exact)
         if line_orient != line_out  # edges intersect
             if line_orient == line_cross  # Intersection point that isn't a vertex
                 int_pt, fracs = intr1
@@ -221,10 +300,10 @@
     end
     ```
     =#
-    foreach_pair_of_maybe_intersecting_edges_in_order(on_each_a, after_each_a, on_each_maybe_intersect, poly_a, poly_b, T)
+    foreach_pair_of_maybe_intersecting_edges_in_order(alg, on_each_a, after_each_a, on_each_maybe_intersect, poly_a, poly_b, T)
 
     return a_list, a_idx_list, n_b_intrs
-end
_build_b_list(::Type{T}, a_idx_list, a_list, poly_b) -> b_list
This function takes in the a_list and a_idx_list build in _build_a_list and poly_b and creates a vector of PolyNodes to represent poly_b. The information stored in each PolyNode is needed for clipping using the Greiner-Hormann clipping algorithm.
Note: after calling this function, b_list is not fully updated. The entry/exit flags still need to be updated. However, the neighbor value in a_list is now updated.
julia
function _build_b_list(::Type{T}, a_idx_list, a_list, n_b_intrs, poly_b) where T
Sort intersection points by insertion order in b_list
julia
    sort!(a_idx_list, by = x-> a_list[x].neighbor + a_list[x].fracs[2])
Initialize needed values and lists
julia
    n_b_edges = _nedge(poly_b)
+end
_build_b_list(::Type{T}, a_idx_list, a_list, poly_b) -> b_list
This function takes in the a_list and a_idx_list build in _build_a_list and poly_b and creates a vector of PolyNodes to represent poly_b. The information stored in each PolyNode is needed for clipping using the Greiner-Hormann clipping algorithm.
Note: after calling this function, b_list is not fully updated. The entry/exit flags still need to be updated. However, the neighbor value in a_list is now updated.
julia
function _build_b_list(alg::FosterHormannClipping{M, A}, ::Type{T}, a_idx_list, a_list, n_b_intrs, poly_b) where {T, M, A}
Sort intersection points by insertion order in b_list
julia
    sort!(a_idx_list, by = x-> a_list[x].neighbor + a_list[x].fracs[2])
Initialize needed values and lists
julia
    n_b_edges = _nedge(poly_b)
     n_intr_pts = length(a_idx_list)
     b_list = PolyNode{T}[]
     sizehint!(b_list, n_b_edges + n_b_intrs)
@@ -263,7 +342,7 @@
     end
     sort!(a_idx_list)  # return a_idx_list to order of points in a_list
     return b_list
-end
_classify_crossing!(T, poly_b, a_list; exact)
This function marks all intersection points as either bouncing or crossing points. "Delayed" crossing or bouncing intersections (a chain of edges where the central edges overlap and thus only the first and last edge of the chain determine if the chain is bounding or crossing) are marked as follows: the first and the last points are marked as crossing if the chain is crossing and delayed otherwise and all middle points are marked as bouncing. Additionally, the start and end points of the chain are marked as endpoints using the endpoints field.
julia
function _classify_crossing!(::Type{T}, a_list, b_list; exact) where T
+end
_classify_crossing!(T, poly_b, a_list; exact)
This function marks all intersection points as either bouncing or crossing points. "Delayed" crossing or bouncing intersections (a chain of edges where the central edges overlap and thus only the first and last edge of the chain determine if the chain is bounding or crossing) are marked as follows: the first and the last points are marked as crossing if the chain is crossing and delayed otherwise and all middle points are marked as bouncing. Additionally, the start and end points of the chain are marked as endpoints using the endpoints field.
julia
function _classify_crossing!(alg::FosterHormannClipping{M, A}, ::Type{T}, a_list, b_list; exact) where {T, M, A}
     napts = length(a_list)
     nbpts = length(b_list)
start centered on last point
julia
    a_prev = a_list[end - 1]
     curr_pt = a_list[end]
@@ -277,7 +356,7 @@
             b_next = j == nbpts ? b_list[1] : b_list[j+1]
determine if any segments are on top of one another
julia
            a_prev_is_b_prev = a_prev.inter && equals(a_prev, b_prev)
             a_prev_is_b_next = a_prev.inter && equals(a_prev, b_next)
             a_next_is_b_prev = a_next.inter && equals(a_next, b_prev)
-            a_next_is_b_next = a_next.inter && equals(a_next, b_next)
determine which side of a segments the p points are on
julia
            b_prev_side, b_next_side = _get_sides(b_prev, b_next, a_prev, curr_pt, a_next,
+            a_next_is_b_next = a_next.inter && equals(a_next, b_next)
determine which side of a segments the p points are on
julia
            b_prev_side, b_next_side = _get_sides(#=TODO: alg.manifold, =#b_prev, b_next, a_prev, curr_pt, a_next,
                 i, j, a_list, b_list; exact)
no sides overlap
julia
            if !a_prev_is_b_prev && !a_prev_is_b_next && !a_next_is_b_prev && !a_next_is_b_next
                 if b_prev_side != b_next_side  # lines cross
                     a_list[i] = PolyNode(curr_pt; crossing = true)
@@ -395,7 +474,7 @@
 or a crossing point that isn't in a chain. Then take the midpoint of this point and the next
 point in the list and perform the in/out check. If none of these points exist, return
 a `next_idx` of `nothing`. =#
-function _pt_off_edge_status(::Type{T}, pt_list, poly, npts; exact) where T
+function _pt_off_edge_status(alg::FosterHormannClipping{M, A}, ::Type{T}, pt_list, poly, npts; exact) where {T, M, A}
     start_idx, is_non_intr_pt = findfirst(_is_not_intr, pt_list), true
     if isnothing(start_idx)
         start_idx, is_non_intr_pt = findfirst(_next_edge_off, pt_list), false
@@ -407,14 +486,14 @@
     else
         (pt_list[start_idx].point .+ pt_list[next_idx].point) ./ 2
     end
-    start_status = !_point_filled_curve_orientation(start_pt, poly; in = true, on = false, out = false, exact)
+    start_status = !_point_filled_curve_orientation(#=TODO: alg.manifold=#start_pt, poly; in = true, on = false, out = false, exact)
     return next_idx, start_status
 end
Check if a PolyNode is an intersection point
julia
_is_not_intr(pt) = !pt.inter
 #= Check if a PolyNode is the last point of a chain or a non-overlapping crossing point.
 The next midpoint of one of these points and the next point within a polygon must not be on
 the polygon edge. =#
-_next_edge_off(pt) = (pt.endpoint == end_chain) || (pt.crossing && pt.endpoint == not_endpoint)
_flag_ent_exit!(::Type{T}, ::GI.LinearRingTrait, poly, pt_list, delay_cross_f, delay_bounce_f; exact)
This function flags all the intersection points as either an 'entry' or 'exit' point in relation to the given polygon. For non-delayed crossings we simply alternate the enter/exit status. This also holds true for the first and last points of a delayed bouncing, where they both have an opposite entry/exit flag. Conversely, the first and last point of a delayed crossing have the same entry/exit status. Furthermore, the crossing/bouncing flag of delayed crossings and bouncings may be updated. This depends on function specific rules that determine which of the start or end points (if any) should be marked as crossing for used during polygon tracing. A consistent rule is that the start and end points of a delayed crossing will have different crossing/bouncing flags, while a the endpoints of a delayed bounce will be the same.
Used for clipping polygons by other polygons.
julia
function _flag_ent_exit!(::Type{T}, ::GI.LinearRingTrait, poly, pt_list, delay_cross_f, delay_bounce_f; exact) where T
-    npts = length(pt_list)
Find starting index if there is one
julia
    next_idx, status = _pt_off_edge_status(T, pt_list, poly, npts; exact)
+_next_edge_off(pt) = (pt.endpoint == end_chain) || (pt.crossing && pt.endpoint == not_endpoint)
_flag_ent_exit!(::Type{T}, ::GI.LinearRingTrait, poly, pt_list, delay_cross_f, delay_bounce_f; exact)
This function flags all the intersection points as either an 'entry' or 'exit' point in relation to the given polygon. For non-delayed crossings we simply alternate the enter/exit status. This also holds true for the first and last points of a delayed bouncing, where they both have an opposite entry/exit flag. Conversely, the first and last point of a delayed crossing have the same entry/exit status. Furthermore, the crossing/bouncing flag of delayed crossings and bouncings may be updated. This depends on function specific rules that determine which of the start or end points (if any) should be marked as crossing for used during polygon tracing. A consistent rule is that the start and end points of a delayed crossing will have different crossing/bouncing flags, while a the endpoints of a delayed bounce will be the same.
Used for clipping polygons by other polygons.
julia
function _flag_ent_exit!(alg::FosterHormannClipping{M, A}, ::Type{T}, ::GI.LinearRingTrait, poly, pt_list, delay_cross_f, delay_bounce_f; exact) where {T, M, A}
+    npts = length(pt_list)
Find starting index if there is one
julia
    next_idx, status = _pt_off_edge_status(alg, T, pt_list, poly, npts; exact)
     isnothing(next_idx) && return
     start_idx = next_idx - 1
Loop over points and mark entry and exit status
julia
    start_chain_idx = 0
     for ii in Iterators.flatten((next_idx:npts, 1:start_idx))
@@ -432,7 +511,7 @@
                 else  # delayed bouncing
                     next_idx = ii < npts ? (ii + 1) : 1
                     next_val = (curr_pt.point .+ pt_list[next_idx].point) ./ 2
-                    pt_in_poly = _point_filled_curve_orientation(next_val, poly; in = true, on = false, out = false, exact)
+                    pt_in_poly = _point_filled_curve_orientation(#=TODO: alg.manifold=#next_val, poly; in = true, on = false, out = false, exact)
                     #= start and end crossing status are the same and depend on if adjacent
                     edges of pt_list are within poly =#
                     start_crossing = delay_bounce_f(pt_in_poly)
@@ -447,8 +526,8 @@
         end
     end
     return
-end
_flag_ent_exit!(::GI.LineTrait, line, pt_list; exact)
This function flags all the intersection points as either an 'entry' or 'exit' point in relation to the given line. Returns true if there are crossing points to classify, else returns false. Used for cutting polygons by lines.
Assumes that the first point is outside of the polygon and not on an edge.
julia
function _flag_ent_exit!(::GI.LineTrait, poly, pt_list; exact)
-    status = !_point_filled_curve_orientation(pt_list[1].point, poly; in = true, on = false, out = false, exact)
Loop over points and mark entry and exit status
julia
    for (ii, curr_pt) in enumerate(pt_list)
+end
_flag_ent_exit!(::GI.LineTrait, line, pt_list; exact)
This function flags all the intersection points as either an 'entry' or 'exit' point in relation to the given line. Returns true if there are crossing points to classify, else returns false. Used for cutting polygons by lines.
Assumes that the first point is outside of the polygon and not on an edge.
julia
function _flag_ent_exit!(alg::FosterHormannClipping{M, A}, ::GI.LineTrait, poly, pt_list; exact) where {M, A}
+    status = !_point_filled_curve_orientation(#=TODO: alg.manifold=#pt_list[1].point, poly; in = true, on = false, out = false, exact)
Loop over points and mark entry and exit status
julia
    for (ii, curr_pt) in enumerate(pt_list)
         if curr_pt.crossing
             pt_list[ii] = PolyNode(curr_pt; ent_exit = status)
             status = !status
@@ -459,7 +538,7 @@
 
 #= Filters a_idx_list to just include crossing points and sets the index of all crossing
 points (which element they correspond to within a_idx_list). =#
-function _index_crossing_intrs!(a_list, b_list, a_idx_list)
+function _index_crossing_intrs!(alg::FosterHormannClipping{M, A}, a_list, b_list, a_idx_list) where {M, A}
     filter!(x -> a_list[x].crossing, a_idx_list)
     for (i, a_idx) in enumerate(a_idx_list)
         curr_node = a_list[a_idx]
@@ -468,7 +547,7 @@
         b_list[curr_node.neighbor] = PolyNode(neighbor_node; idx = i)
     end
     return
-end
_trace_polynodes(::Type{T}, a_list, b_list, a_idx_list, f_step)::Vector{GI.Polygon}
This function takes the outputs of _build_ab_list and traces the lists to determine which polygons are formed as described in Greiner and Hormann. The function f_step determines in which direction the lists are traced. This function is different for intersection, difference, and union. f_step must take in two arguments: the most recent intersection node's entry/exit status and a boolean that is true if we are currently tracing a_list and false if we are tracing b_list. The functions used for each clipping operation are follows: - Intersection: (x, y) -> x ? 1 : (-1) - Difference: (x, y) -> (x ⊻ y) ? 1 : (-1) - Union: (x, y) -> x ? (-1) : 1
A list of GeoInterface polygons is returned from this function.
Note: poly_a and poly_b are temporary inputs used for debugging and can be removed eventually.
julia
function _trace_polynodes(::Type{T}, a_list, b_list, a_idx_list, f_step, poly_a, poly_b) where T
+end
_trace_polynodes(::Type{T}, a_list, b_list, a_idx_list, f_step)::Vector{GI.Polygon}
This function takes the outputs of _build_ab_list and traces the lists to determine which polygons are formed as described in Greiner and Hormann. The function f_step determines in which direction the lists are traced. This function is different for intersection, difference, and union. f_step must take in two arguments: the most recent intersection node's entry/exit status and a boolean that is true if we are currently tracing a_list and false if we are tracing b_list. The functions used for each clipping operation are follows: - Intersection: (x, y) -> x ? 1 : (-1) - Difference: (x, y) -> (x ⊻ y) ? 1 : (-1) - Union: (x, y) -> x ? (-1) : 1
A list of GeoInterface polygons is returned from this function.
Note: poly_a and poly_b are temporary inputs used for debugging and can be removed eventually.
julia
function _trace_polynodes(alg::FosterHormannClipping{M, A}, ::Type{T}, a_list, b_list, a_idx_list, f_step, poly_a, poly_b) where {T, M, A}
     n_a_pts, n_b_pts = length(a_list), length(b_list)
     total_pts = n_a_pts + n_b_pts
     n_cross_pts = length(a_idx_list)
@@ -489,7 +568,9 @@
         while curr_not_start
             step = f_step(curr.ent_exit, on_a_list)
changed curr_not_intr to curr_not_same_ent_flag
julia
            same_status, prev_status = true, curr.ent_exit
             while same_status
-                @assert visited_pts < total_pts "Clipping tracing hit every point - clipping error. Please open an issue with polygons: $(GI.coordinates(poly_a)) and $(GI.coordinates(poly_b))."
Traverse polygon either forwards or backwards
julia
                idx += step
+                if visited_pts >= total_pts
+                    throw(TracingHitEveryPointError(poly_a, poly_b, a_list, b_list, a_idx_list))
+                end
Traverse polygon either forwards or backwards
julia
                idx += step
                 idx = (idx > curr_npoints) ? mod(idx, curr_npoints) : idx
                 idx = (idx == 0) ? curr_npoints : idx
Get current node and add to pt_list
julia
                curr = curr_list[idx]
                 push!(pt_list, curr.point)
@@ -523,7 +604,7 @@
     a_in_b = a_pt_orient != point_out && b_pt_orient != point_in
     b_in_a = b_pt_orient != point_out && a_pt_orient != point_in
     return a_in_b, b_in_a
-end
_add_holes_to_polys!(::Type{T}, return_polys, hole_iterator, remove_poly_idx; exact)
The holes specified by the hole iterator are added to the polygons in the return_polys list. If this creates more polygons, they are added to the end of the list. If this removes polygons, they are removed from the list
julia
function _add_holes_to_polys!(::Type{T}, return_polys, hole_iterator, remove_poly_idx; exact) where T
+end
_add_holes_to_polys!(::Type{T}, return_polys, hole_iterator, remove_poly_idx; exact)
The holes specified by the hole iterator are added to the polygons in the return_polys list. If this creates more polygons, they are added to the end of the list. If this removes polygons, they are removed from the list
julia
function _add_holes_to_polys!(alg::FosterHormannClipping{M, A}, ::Type{T}, return_polys, hole_iterator, remove_poly_idx; exact) where {T, M, A}
     n_polys = length(return_polys)
     remove_hole_idx = Int[]
Remove set of holes from all polygons
julia
    for i in 1:n_polys
         n_new_per_poly = 0
@@ -532,9 +613,9 @@
                 curr_poly = return_polys[j]
                 remove_poly_idx[j] && continue
                 curr_poly_ext = GI.nhole(curr_poly) > 0 ? GI.Polygon(StaticArrays.SVector(GI.getexterior(curr_poly))) : curr_poly
-                in_ext, on_ext, out_ext = _line_polygon_interactions(curr_hole, curr_poly_ext; exact, closed_line = true)
+                in_ext, on_ext, out_ext = _line_polygon_interactions(#=TODO: alg.manifold=#curr_hole, curr_poly_ext; exact, closed_line = true)
                 if in_ext  # hole is at least partially within the polygon's exterior
-                    new_hole, new_hole_poly, n_new_pieces = _combine_holes!(T, curr_hole, curr_poly, return_polys, remove_hole_idx)
+                    new_hole, new_hole_poly, n_new_pieces = _combine_holes!(alg, T, curr_hole, curr_poly, return_polys, remove_hole_idx)
                     if n_new_pieces > 0
                         append!(remove_poly_idx, falses(n_new_pieces))
                         n_new_per_poly += n_new_pieces
@@ -542,7 +623,7 @@
                     if !on_ext && !out_ext  # hole is completely within exterior
                         push!(curr_poly.geom, new_hole)
                     else  # hole is partially within and outside of polygon's exterior
-                        new_polys = difference(curr_poly_ext, new_hole_poly, T; target=GI.PolygonTrait())
+                        new_polys = difference(#=TODO: alg=#curr_poly_ext, new_hole_poly, T; target=GI.PolygonTrait())
                         n_new_polys = length(new_polys) - 1
replace original
julia
                        curr_poly.geom[1] = GI.getexterior(new_polys[1])
                         append!(curr_poly.geom, GI.gethole(new_polys[1]))
                         if n_new_polys > 0  # add any extra pieces
@@ -550,7 +631,7 @@
                             append!(remove_poly_idx, falses(n_new_polys))
                             n_new_per_poly += n_new_polys
                         end
-                    end
polygon is completely within hole
julia
                elseif coveredby(curr_poly_ext, GI.Polygon(StaticArrays.SVector(curr_hole)))
+                    end
polygon is completely within hole
julia
                elseif coveredby(#=TODO: alg.manifold=#curr_poly_ext, GI.Polygon(StaticArrays.SVector(curr_hole)))
                     remove_poly_idx[j] = true
                 end
             end
@@ -558,12 +639,12 @@
         n_polys += n_new_per_poly
     end
Remove all polygon that were marked for removal
julia
    deleteat!(return_polys, remove_poly_idx)
     return
-end
_combine_holes!(::Type{T}, new_hole, curr_poly, return_polys)
The new hole is combined with any existing holes in curr_poly. The holes can be combined into a larger hole if they are intersecting. If this happens, then the new, combined hole is returned with the original holes making up the new hole removed from curr_poly. Additionally, if the combined holes form a ring, the interior is added to the return_polys as a new polygon piece. Additionally, holes leftover after combination will be checked for it they are in the "main" polygon or in one of these new pieces and moved accordingly.
If the holes don't touch or curr_poly has no holes, then new_hole is returned without any changes.
julia
function _combine_holes!(::Type{T}, new_hole, curr_poly, return_polys, remove_hole_idx) where T
+end
_combine_holes!(::Type{T}, new_hole, curr_poly, return_polys)
The new hole is combined with any existing holes in curr_poly. The holes can be combined into a larger hole if they are intersecting. If this happens, then the new, combined hole is returned with the original holes making up the new hole removed from curr_poly. Additionally, if the combined holes form a ring, the interior is added to the return_polys as a new polygon piece. Additionally, holes leftover after combination will be checked for it they are in the "main" polygon or in one of these new pieces and moved accordingly.
If the holes don't touch or curr_poly has no holes, then new_hole is returned without any changes.
julia
function _combine_holes!(alg::FosterHormannClipping{M, A}, ::Type{T}, new_hole, curr_poly, return_polys, remove_hole_idx) where {T, M, A}
     n_new_polys = 0
     empty!(remove_hole_idx)
     new_hole_poly = GI.Polygon(StaticArrays.SVector(new_hole))
Combine any existing holes in curr_poly with new hole
julia
    for (k, old_hole) in enumerate(GI.gethole(curr_poly))
         old_hole_poly = GI.Polygon(StaticArrays.SVector(old_hole))
-        if intersects(new_hole_poly, old_hole_poly)
If the holes intersect, combine them into a bigger hole
julia
            hole_union = union(new_hole_poly, old_hole_poly, T; target = GI.PolygonTrait())[1]
+        if intersects(#=TODO: alg.manifold=#new_hole_poly, old_hole_poly)
If the holes intersect, combine them into a bigger hole
julia
            hole_union = union(alg, new_hole_poly, old_hole_poly, T; target = GI.PolygonTrait())[1]
             push!(remove_hole_idx, k + 1)
             new_hole = GI.getexterior(hole_union)
             new_hole_poly = GI.Polygon(StaticArrays.SVector(new_hole))
@@ -588,7 +669,7 @@
 
 #= Remove collinear edge points, other than the first and last edge vertex, to simplify
 polygon - including both the exterior ring and any holes=#
-function _remove_collinear_points!(polys, remove_idx, poly_a, poly_b)
+function _remove_collinear_points!(alg::FosterHormannClipping{M, A}, polys, remove_idx, poly_a, poly_b) where {M, A}
     for (i, poly) in Iterators.reverse(enumerate(polys))
         for (j, ring) in Iterators.reverse(enumerate(GI.getring(poly)))
             n = length(ring.geom)
resize and reset removing index buffer
julia
            resize!(remove_idx, n)
@@ -602,12 +683,12 @@
                     p2 = p
                     continue
                 else
-                    p3 = p
check if p2 is approximately on the edge formed by p1 and p3 - remove if so
julia
                    if Predicates.orient(p1, p2, p3; exact = _False()) == 0
+                    p3 = p
check if p2 is approximately on the edge formed by p1 and p3 - remove if so TODO: make this manifold aware
julia
                    if Predicates.orient(p1, p2, p3; exact = _False()) == 0
                         remove_idx[i - 1] = true
                     end
                 end
                 p1, p2 = p2, p3
-            end
Check if the first point (which is repeated as the last point) is needed
julia
            if Predicates.orient(ring.geom[end - 1], ring.geom[1], ring.geom[2]; exact = _False()) == 0
+            end
Check if the first point (which is repeated as the last point) is needed TODO: make this manifold aware
julia
            if Predicates.orient(ring.geom[end - 1], ring.geom[1], ring.geom[2]; exact = _False()) == 0
                 remove_idx[1], remove_idx[end] = true, true
             end
Remove unneeded collinear points
julia
            deleteat!(ring.geom, remove_idx)
Check if enough points are left to form a polygon
julia
            if length(ring.geom) ≤ (remove_idx[1] ? 2 : 3)
                 if j == 1
@@ -625,7 +706,7 @@
     end
     return
 end
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/previews/PR259/source/methods/clipping/coverage.html b/previews/PR259/source/methods/clipping/coverage.html
index df269cd8f..45bd306f7 100644
--- a/previews/PR259/source/methods/clipping/coverage.html
+++ b/previews/PR259/source/methods/clipping/coverage.html
@@ -9,11 +9,11 @@
     
     
     
-    
+    
     
-    
+    
     
-    
+    
     
     
     
@@ -31,7 +31,7 @@
 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
@@ -244,7 +244,7 @@
     y_wall = (wall == NORTH || wall == WEST) ? ymax : ymin
     return x1 * y_wall - x_wall * y1
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/clipping/cut.html b/previews/PR259/source/methods/clipping/cut.html index cc15dddcb..a361c2850 100644 --- a/previews/PR259/source/methods/clipping/cut.html +++ b/previews/PR259/source/methods/clipping/cut.html @@ -9,11 +9,11 @@ - + - + - + @@ -21,18 +21,18 @@ -
GeometryOps.jl

Appearance

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
-
-poly = GI.Polygon([[(0.0, 0.0), (10.0, 0.0), (10.0, 10.0), (0.0, 10.0), (0.0, 0.0)]])
-line = GI.Line([(5.0, -5.0), (5.0, 15.0)])
-cut_polys = GO.cut(poly, line)
-
-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
"""
+    
GeometryOps.jl
Appearance
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:
@example
import GeoInterface as GI, GeometryOps as GO
+using CairoMakie
+using Makie
+
+poly = GI.Polygon([[(0.0, 0.0), (10.0, 0.0), (10.0, 10.0), (0.0, 10.0), (0.0, 0.0)]])
+line = GI.Line([(5.0, -5.0), (5.0, 15.0)])
+cut_polys = GO.cut(poly, line)
+
+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
"""
     cut(geom, line, [T::Type])
 
 Return given geom cut by given line as a list of geometries of the same type as the input
@@ -108,7 +108,7 @@
     end
     return return_coords
 end
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/previews/PR259/source/methods/clipping/difference.html b/previews/PR259/source/methods/clipping/difference.html
index 9a71c327a..7c8b5bd42 100644
--- a/previews/PR259/source/methods/clipping/difference.html
+++ b/previews/PR259/source/methods/clipping/difference.html
@@ -9,11 +9,11 @@
     
     
     
-    
+    
     
-    
+    
     
-    
+    
     
     
     
@@ -52,26 +52,26 @@
 ```
 """
 function difference(
-    geom_a, geom_b, ::Type{T} = Float64; target=nothing, kwargs...,
+    alg::FosterHormannClipping, geom_a, geom_b, ::Type{T} = Float64; target=nothing, kwargs...,
 ) where {T<:AbstractFloat}
     return _difference(
-        TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b;
+        alg, TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b;
         exact = _True(), kwargs...,
     )
-end
+end

fallback definitions

julia
difference(geom_a, geom_b, ::Type{T} = Float64; target=nothing, kwargs...) where T = difference(FosterHormannClipping(Planar()), geom_a, geom_b, T; target, kwargs...)

if manifold but no algorithm - assume FosterHormannClipping with provided manifold.

julia
difference(m::Manifold, geom_a, geom_b, ::Type{T} = Float64; target=nothing, kwargs...) where T = difference(FosterHormannClipping(m), geom_a, geom_b, T; target, kwargs...)
 
-#= The 'difference' function returns the difference of two polygons as a list of polygons.
-The algorithm to determine the difference was adapted from "Efficient clipping of efficient
-polygons," by Greiner and Hormann (1998). DOI: https://doi.org/10.1145/274363.274364 =#
-function _difference(
-    ::TraitTarget{GI.PolygonTrait}, ::Type{T},
-    ::GI.PolygonTrait, poly_a,
-    ::GI.PolygonTrait, poly_b;
-    exact, kwargs...
-) where T

Get the exterior of the polygons

julia
    ext_a = GI.getexterior(poly_a)
-    ext_b = GI.getexterior(poly_b)

Find the difference of the exterior of the polygons

julia
    a_list, b_list, a_idx_list = _build_ab_list(T, ext_a, ext_b, _diff_delay_cross_f, _diff_delay_bounce_f; exact)
-    polys = _trace_polynodes(T, a_list, b_list, a_idx_list, _diff_step, poly_a, poly_b)

if no crossing points, determine if either poly is inside of the other

julia
    if isempty(polys)
-        a_in_b, b_in_a = _find_non_cross_orientation(a_list, b_list, ext_a, ext_b; exact)

add case for if they polygons are the same (all intersection points!) add a find_first check to find first non-inter poly!

julia
        if b_in_a && !a_in_b  # b in a and can't be the same polygon
+#= The 'difference' function returns the difference of two polygons as a list of polygons.
+The algorithm to determine the difference was adapted from "Efficient clipping of efficient
+polygons," by Greiner and Hormann (1998). DOI: https://doi.org/10.1145/274363.274364 =#
+function _difference(
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.PolygonTrait, poly_b;
+    exact, kwargs...
+) where T

Get the exterior of the polygons

julia
    ext_a = GI.getexterior(poly_a)
+    ext_b = GI.getexterior(poly_b)

Find the difference of the exterior of the polygons

julia
    a_list, b_list, a_idx_list = _build_ab_list(alg, T, ext_a, ext_b, _diff_delay_cross_f, _diff_delay_bounce_f; exact)
+    polys = _trace_polynodes(alg, T, a_list, b_list, a_idx_list, _diff_step, poly_a, poly_b)

if no crossing points, determine if either poly is inside of the other

julia
    if isempty(polys)
+        a_in_b, b_in_a = _find_non_cross_orientation(#=TODO: alg=#a_list, b_list, ext_a, ext_b; exact)

add case for if they polygons are the same (all intersection points!) add a find_first check to find first non-inter poly!

julia
        if b_in_a && !a_in_b  # b in a and can't be the same polygon
             poly_a_b_hole = GI.Polygon([tuples(ext_a), tuples(ext_b)])
             push!(polys, poly_a_b_hole)
         elseif !b_in_a && !a_in_b # polygons don't intersect
@@ -80,17 +80,17 @@
         end
     end
     remove_idx = falses(length(polys))

If the original polygons had holes, take that into account.

julia
    if GI.nhole(poly_a) != 0
-        _add_holes_to_polys!(T, polys, GI.gethole(poly_a), remove_idx; exact)
+        _add_holes_to_polys!(alg, T, polys, GI.gethole(poly_a), remove_idx; exact)
     end
     if GI.nhole(poly_b) != 0
         for hole in GI.gethole(poly_b)
             hole_poly = GI.Polygon(StaticArrays.SVector(hole))
-            new_polys = intersection(hole_poly, poly_a, T; target = GI.PolygonTrait)
+            new_polys = intersection(alg, hole_poly, poly_a, T; target = GI.PolygonTrait)
             if length(new_polys) > 0
                 append!(polys, new_polys)
             end
         end
-    end

Remove unneeded collinear points on same edge

julia
    _remove_collinear_points!(polys, remove_idx, poly_a, poly_b)
+    end

Remove unneeded collinear points on same edge

julia
    _remove_collinear_points!(alg, polys, remove_idx, poly_a, poly_b)
     return polys
 end

Helper functions for Differences with Greiner and Hormann Polygon Clipping ​

julia
#= When marking the crossing status of a delayed crossing, the chain start point is crossing
 when the start point is a entry point and is a bouncing point when the start point is an
@@ -112,7 +112,7 @@
 #= Polygon with multipolygon difference - note that all intersection regions between
 `poly_a` and any of the sub-polygons of `multipoly_b` are removed from `poly_a`. =#
 function _difference(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.PolygonTrait, poly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     kwargs...,
@@ -120,7 +120,7 @@
     polys = [tuples(poly_a, T)]
     for poly_b in GI.getpolygon(multipoly_b)
         isempty(polys) && break
-        polys = mapreduce(p -> difference(p, poly_b; target), append!, polys)
+        polys = mapreduce(p -> difference(alg, p, poly_b; target), append!, polys)
     end
     return polys
 end
@@ -130,7 +130,7 @@
 sub-polygon. Unless specified with `fix_multipoly = nothing`, `multipolygon_a` will be
 validated using the given (default is `UnionIntersectingPolygons()`) correction. =#
 function _difference(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.PolygonTrait, poly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -141,7 +141,7 @@
     polys = Vector{_get_poly_type(T)}()
     sizehint!(polys, GI.npolygon(multipoly_a))
     for poly_a in GI.getpolygon(multipoly_a)
-        append!(polys, difference(poly_a, poly_b; target))
+        append!(polys, difference(alg, poly_a, poly_b; target))
     end
     return polys
 end
@@ -152,7 +152,7 @@
 `multipolygon_a` will be validated using the given (default is `UnionIntersectingPolygons()`)
 correction. =#
 function _difference(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -167,9 +167,9 @@
         pieces of `multipolygon_a`` are removed, continue to take difference with new shape
         `polys` =#
         polys = if i == 1
-            difference(multipoly_a, poly_b; target, fix_multipoly)
+            difference(alg, multipoly_a, poly_b; target, fix_multipoly)
         else
-            difference(GI.MultiPolygon(polys), poly_b; target, fix_multipoly)
+            difference(alg, GI.MultiPolygon(polys), poly_b; target, fix_multipoly)
         end
         #= One multipoly_a has been completely covered (and thus removed) there is no need to
         continue taking the difference =#
@@ -177,17 +177,17 @@
     end
     return polys
 end

Many type and target combos aren't implemented

julia
function _difference(
-    ::TraitTarget{Target}, ::Type{T},
+    alg::GeometryOpsCore.Algorithm, target::TraitTarget{Target}, ::Type{T},
     trait_a::GI.AbstractTrait, geom_a,
     trait_b::GI.AbstractTrait, geom_b,
 ) where {Target, T}
     @assert(
         false,
-        "Difference between $trait_a and $trait_b with target $Target isn't implemented yet.",
+        "Difference between $trait_a and $trait_b with target $Target and algorithm $alg isn't implemented yet.",
     )
     return nothing
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/clipping/intersection.html b/previews/PR259/source/methods/clipping/intersection.html index 44e4e6d1f..d6413de97 100644 --- a/previews/PR259/source/methods/clipping/intersection.html +++ b/previews/PR259/source/methods/clipping/intersection.html @@ -9,11 +9,11 @@ - + - + - + @@ -59,33 +59,39 @@ ``` """ function intersection( - geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs..., + alg::FosterHormannClipping, geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs... ) where {T<:AbstractFloat} return _intersection( - TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b; + alg, TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b; exact = _True(), kwargs..., ) -end

Curve-Curve Intersections with target Point

julia
_intersection(
-    ::TraitTarget{GI.PointTrait}, ::Type{T},
+end

fallback definitions if no manifold - assume planar (until we have best_manifold)

julia
function intersection(
+    geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...
+) where {T<:AbstractFloat}
+    return intersection(FosterHormannClipping(Planar()), geom_a, geom_b; target, kwargs...)
+end

if manifold but no algorithm - assume FosterHormannClipping with provided manifold.

julia
function intersection(m::Manifold, geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...) where {T<:AbstractFloat}
+    return intersection(FosterHormannClipping(m), geom_a, geom_b; target, kwargs...)
+end

Curve-Curve Intersections with target Point

julia
_intersection(
+    alg::FosterHormannClipping, ::TraitTarget{GI.PointTrait}, ::Type{T},
     trait_a::Union{GI.LineTrait, GI.LineStringTrait, GI.LinearRingTrait}, geom_a,
     trait_b::Union{GI.LineTrait, GI.LineStringTrait, GI.LinearRingTrait}, geom_b;
     kwargs...,
-) where T = _intersection_points(T, trait_a, geom_a, trait_b, geom_b)
+) where T = _intersection_points(alg.manifold, alg.accelerator, T, trait_a, geom_a, trait_b, geom_b)
 
 #= Polygon-Polygon Intersections with target Polygon
 The algorithm to determine the intersection was adapted from "Efficient clipping
 of efficient polygons," by Greiner and Hormann (1998).
 DOI: https://doi.org/10.1145/274363.274364 =#
 function _intersection(
-    ::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, ::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.PolygonTrait, poly_a,
     ::GI.PolygonTrait, poly_b;
     exact, kwargs...,
 ) where {T}

First we get the exteriors of 'poly_a' and 'poly_b'

julia
    ext_a = GI.getexterior(poly_a)
-    ext_b = GI.getexterior(poly_b)

Then we find the intersection of the exteriors

julia
    a_list, b_list, a_idx_list = _build_ab_list(T, ext_a, ext_b, _inter_delay_cross_f, _inter_delay_bounce_f; exact)
-    polys = _trace_polynodes(T, a_list, b_list, a_idx_list, _inter_step, poly_a, poly_b)
+    ext_b = GI.getexterior(poly_b)

Then we find the intersection of the exteriors

julia
    a_list, b_list, a_idx_list = _build_ab_list(alg, T, ext_a, ext_b, _inter_delay_cross_f, _inter_delay_bounce_f; exact)
+    polys = _trace_polynodes(alg, T, a_list, b_list, a_idx_list, _inter_step, poly_a, poly_b)
     if isempty(polys) # no crossing points, determine if either poly is inside the other
-        a_in_b, b_in_a = _find_non_cross_orientation(a_list, b_list, ext_a, ext_b; exact)
+        a_in_b, b_in_a = _find_non_cross_orientation(alg, a_list, b_list, ext_a, ext_b; exact)
         if a_in_b
             push!(polys, GI.Polygon([tuples(ext_a)]))
         elseif b_in_a
@@ -94,8 +100,8 @@
     end
     remove_idx = falses(length(polys))

If the original polygons had holes, take that into account.

julia
    if GI.nhole(poly_a) != 0 || GI.nhole(poly_b) != 0
         hole_iterator = Iterators.flatten((GI.gethole(poly_a), GI.gethole(poly_b)))
-        _add_holes_to_polys!(T, polys, hole_iterator, remove_idx; exact)
-    end

Remove unneeded collinear points on same edge

julia
    _remove_collinear_points!(polys, remove_idx, poly_a, poly_b)
+        _add_holes_to_polys!(alg, T, polys, hole_iterator, remove_idx; exact)
+    end

Remove unneeded collinear points on same edge

julia
    _remove_collinear_points!(alg, polys, remove_idx, poly_a, poly_b)
     return polys
 end

Helper functions for Intersections with Greiner and Hormann Polygon Clipping ​

julia
#= When marking the crossing status of a delayed crossing, the chain start point is bouncing
 when the start point is a entry point and is a crossing point when the start point is an
@@ -116,7 +122,7 @@
 Unless specified with `fix_multipoly = nothing`, `multipolygon_b` will be validated using
 the given (default is `UnionIntersectingPolygons()`) correction. =#
 function _intersection(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.PolygonTrait, poly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -126,7 +132,7 @@
     end
     polys = Vector{_get_poly_type(T)}()
     for poly_b in GI.getpolygon(multipoly_b)
-        append!(polys, intersection(poly_a, poly_b; target))
+        append!(polys, intersection(alg, poly_a, poly_b; target))
     end
     return polys
 end
@@ -135,11 +141,11 @@
 polygon with the multipolygon and thus simply switches the order of operations and calls the
 above method. =#
 _intersection(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.PolygonTrait, poly_b;
     kwargs...,
-) where T = intersection(poly_b, multipoly_a; target , kwargs...)
+) where T = intersection(alg, poly_b, multipoly_a; target , kwargs...)
 
 #= Multipolygon with multipolygon intersection - note that all intersection regions between
 any sub-polygons of `multipoly_a` and any of the sub-polygons of `multipoly_b` are counted
@@ -147,7 +153,7 @@
 `multipolygon_a` and `multipolygon_b` will be validated using the given (default is
 `UnionIntersectingPolygons()`) correction. =#
 function _intersection(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -159,18 +165,18 @@
     end
     polys = Vector{_get_poly_type(T)}()
     for poly_a in GI.getpolygon(multipoly_a)
-        append!(polys, intersection(poly_a, multipoly_b; target, fix_multipoly))
+        append!(polys, intersection(alg, poly_a, multipoly_b; target, fix_multipoly))
     end
     return polys
 end

Many type and target combos aren't implemented

julia
function _intersection(
-    ::TraitTarget{Target}, ::Type{T},
+    alg::GeometryOpsCore.Algorithm, target::TraitTarget{Target}, ::Type{T},
     trait_a::GI.AbstractTrait, geom_a,
     trait_b::GI.AbstractTrait, geom_b;
     kwargs...,
 ) where {Target, T}
     @assert(
         false,
-        "Intersection between $trait_a and $trait_b with target $Target isn't implemented yet.",
+        "Intersection between $trait_a and $trait_b with target $Target and algorithm $alg isn't implemented yet.",
     )
     return nothing
 end
@@ -191,14 +197,20 @@
 inter_points = GO.intersection_points(line1, line2)

output

julia
1-element Vector{Tuple{Float64, Float64}}:
  (125.58375366067548, -14.83572303404496)
 """
-intersection_points(geom_a, geom_b, ::Type{T} = Float64) where T <: AbstractFloat =
-    _intersection_points(T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b)
+intersection_points(geom_a, geom_b, ::Type{T} = Float64) where T <: AbstractFloat = intersection_points(FosterHormannClipping(Planar()), geom_a, geom_b, T)
+function intersection_points(alg::FosterHormannClipping{M, A}, geom_a, geom_b, ::Type{T} = Float64) where {M, A, T <: AbstractFloat}
+    return _intersection_points(alg.manifold, alg.accelerator, T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b)
+end
+
+function intersection_points(m::Manifold, a::IntersectionAccelerator, geom_a, geom_b, ::Type{T} = Float64) where T <: AbstractFloat
+    return _intersection_points(m, a, T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b)
+end
 
 
 #= Calculates the list of intersection points between two geometries, including line
 segments, line strings, linear rings, polygons, and multipolygons. =#
-function _intersection_points(::Type{T}, ::GI.AbstractTrait, a, ::GI.AbstractTrait, b; exact = _True()) where T

Initialize an empty list of points

julia
    result = Tuple{T, T}[]

Check if the geometries extents even overlap

julia
    Extents.intersects(GI.extent(a), GI.extent(b)) || return result

Create a list of edges from the two input geometries

julia
    edges_a, edges_b = map(sort! ∘ to_edges, (a, b))

Loop over pairs of edges and add any unique intersection points to results

julia
    for a_edge in edges_a, b_edge in edges_b
-        line_orient, intr1, intr2 = _intersection_point(T, a_edge, b_edge; exact)
+function _intersection_points(manifold::M, accelerator::A, ::Type{T}, ::GI.AbstractTrait, a, ::GI.AbstractTrait, b; exact = _True()) where {M <: Manifold, A <: IntersectionAccelerator, T}

Initialize an empty list of points

julia
    result = Tuple{T, T}[]

Check if the geometries extents even overlap

julia
    Extents.intersects(GI.extent(a), GI.extent(b)) || return result

Create a list of edges from the two input geometries

julia
    edges_a, edges_b = map(sort! ∘ to_edges, (a, b))

Loop over pairs of edges and add any unique intersection points to results TODO: add intersection acceleration here.

julia
    for a_edge in edges_a, b_edge in edges_b
+        line_orient, intr1, intr2 = _intersection_point(manifold, T, a_edge, b_edge; exact)
         line_orient == line_out && continue  # no intersection points
         pt1, _ = intr1
         push!(result, pt1)  # if not line_out, there is at least one intersection point
@@ -233,7 +245,7 @@
 that point.
 
 Calculation derivation can be found here: https://stackoverflow.com/questions/563198/ =#
-function _intersection_point(::Type{T}, (a1, a2)::Edge, (b1, b2)::Edge; exact) where T

Default answer for no intersection

julia
    line_orient = line_out
+function _intersection_point(manifold::M, ::Type{T}, (a1, a2)::Edge, (b1, b2)::Edge; exact) where {M <: Manifold, T}

Default answer for no intersection

julia
    line_orient = line_out
     intr1 = ((zero(T), zero(T)), (zero(T), zero(T)))
     intr2 = intr1
     no_intr_result = (line_orient, intr1, intr2)

Seperate out line segment points

julia
    (a1x, a1y), (a2x, a2y) = _tuple_point(a1, T), _tuple_point(a2, T)
@@ -244,14 +256,14 @@
     a1_orient != 0 && a1_orient == a2_orient && return no_intr_result  # α < 0 or α > 1
     b1_orient = Predicates.orient(a1, a2, b1; exact)
     b2_orient = Predicates.orient(a1, a2, b2; exact)
-    b1_orient != 0 && b1_orient == b2_orient && return no_intr_result  # β < 0 or β > 1

Determine intersection type and intersection point(s)

julia
    if a1_orient == a2_orient == b1_orient == b2_orient == 0

Intersection is collinear if all endpoints lie on the same line

julia
        line_orient, intr1, intr2 = _find_collinear_intersection(T, a1, a2, b1, b2, a_ext, b_ext, no_intr_result)
+    b1_orient != 0 && b1_orient == b2_orient && return no_intr_result  # β < 0 or β > 1

Determine intersection type and intersection point(s)

julia
    if a1_orient == a2_orient == b1_orient == b2_orient == 0

Intersection is collinear if all endpoints lie on the same line

julia
        line_orient, intr1, intr2 = _find_collinear_intersection(manifold, T, a1, a2, b1, b2, a_ext, b_ext, no_intr_result)
     elseif a1_orient == 0 || a2_orient == 0 || b1_orient == 0 || b2_orient == 0

Intersection is a hinge if the intersection point is an endpoint

julia
        line_orient = line_hinge
         intr1 = _find_hinge_intersection(T, a1, a2, b1, b2, a1_orient, a2_orient, b1_orient)
     else

Intersection is a cross if there is only one non-endpoint intersection point

julia
        line_orient = line_cross
         intr1 = _find_cross_intersection(T, a1, a2, b1, b2, a_ext, b_ext)
     end
     return line_orient, intr1, intr2
-end
+end

TODO: deprecate this

julia
_intersection_point(::Type{T}, (a1, a2)::Edge, (b1, b2)::Edge; exact) where T = _intersection_point(Planar(), T, (a1, a2), (b1, b2); exact)
 
 #= If lines defined by (a1, a2) and (b1, b2) are collinear, find endpoints of overlapping
 region if they exist. This could result in three possibilities. First, there could be no
@@ -259,7 +271,7 @@
 returned. Second, the two regions could just meet at one shared endpoint, in which case it
 is a hinge intersection with one intersection point. Otherwise, it is a overlapping
 intersection defined by two of the endpoints of the line segments. =#
-function _find_collinear_intersection(::Type{T}, a1, a2, b1, b2, a_ext, b_ext, no_intr_result) where T

Define default return for no intersection points

julia
    line_orient, intr1, intr2 = no_intr_result

Determine collinear line overlaps

julia
    a1_in_b = _point_in_extent(a1, b_ext)
+function _find_collinear_intersection(manifold::M, ::Type{T}, a1, a2, b1, b2, a_ext, b_ext, no_intr_result) where {M <: Manifold, T}

Define default return for no intersection points

julia
    line_orient, intr1, intr2 = no_intr_result

Determine collinear line overlaps

julia
    a1_in_b = _point_in_extent(a1, b_ext)
     a2_in_b = _point_in_extent(a2, b_ext)
     b1_in_a = _point_in_extent(b1, a_ext)
     b2_in_a = _point_in_extent(b2, a_ext)

Determine line distances

julia
    a_dist, b_dist = distance(a1, a2, T), distance(b1, b2, T)

Set collinear intersection points if they exist

julia
    if a1_in_b && a2_in_b      # 1st vertex of a and 2nd vertex of a form overlap
@@ -404,7 +416,7 @@
         α, β = _clamped_frac(distance(min_pt, a2, T), a_dist, eps(T)), one(T) - eps(T)
     end

Return point with smallest distance

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

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/clipping/predicates.html b/previews/PR259/source/methods/clipping/predicates.html index 964b3452e..bb4a8ac23 100644 --- a/previews/PR259/source/methods/clipping/predicates.html +++ b/previews/PR259/source/methods/clipping/predicates.html @@ -9,9 +9,9 @@ - + - + @@ -65,7 +65,7 @@ end import .Predicates

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/clipping/union.html b/previews/PR259/source/methods/clipping/union.html index a2f77c70b..e2bd1cb3f 100644 --- a/previews/PR259/source/methods/clipping/union.html +++ b/previews/PR259/source/methods/clipping/union.html @@ -9,11 +9,11 @@ - + - + - + @@ -52,28 +52,34 @@ ``` """ function union( - geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs... + alg::FosterHormannClipping, geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs... ) where {T<:AbstractFloat} return _union( - TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b; + alg, TraitTarget(target), T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b; exact = _True(), kwargs..., ) -end +end

fallback definitions if no manifold - assume planar (until we have best_manifold)

julia
function union(
+    geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...
+) where {T<:AbstractFloat}
+    return union(FosterHormannClipping(Planar()), geom_a, geom_b; target, kwargs...)
+end

if manifold but no algorithm - assume FosterHormannClipping with provided manifold.

julia
function union(m::Manifold, geom_a, geom_b, ::Type{T}=Float64; target=nothing, kwargs...) where {T<:AbstractFloat}
+    return union(FosterHormannClipping(m), geom_a, geom_b; target, kwargs...)
+end
 
-#= This 'union' implementation returns the union of two polygons. The algorithm to determine
-the union was adapted from "Efficient clipping of efficient polygons," by Greiner and
-Hormann (1998). DOI: https://doi.org/10.1145/274363.274364 =#
-function _union(
-    ::TraitTarget{GI.PolygonTrait}, ::Type{T},
-    ::GI.PolygonTrait, poly_a,
-    ::GI.PolygonTrait, poly_b;
-    exact, kwargs...,
-) where T

First, I get the exteriors of the two polygons

julia
    ext_a = GI.getexterior(poly_a)
-    ext_b = GI.getexterior(poly_b)

Then, I get the union of the exteriors

julia
    a_list, b_list, a_idx_list = _build_ab_list(T, ext_a, ext_b, _union_delay_cross_f, _union_delay_bounce_f; exact)
-    polys = _trace_polynodes(T, a_list, b_list, a_idx_list, _union_step, poly_a, poly_b)
+#= This 'union' implementation returns the union of two polygons. The algorithm to determine
+the union was adapted from "Efficient clipping of efficient polygons," by Greiner and
+Hormann (1998). DOI: https://doi.org/10.1145/274363.274364 =#
+function _union(
+    alg::FosterHormannClipping, ::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.PolygonTrait, poly_b;
+    exact, kwargs...,
+) where T

First, I get the exteriors of the two polygons

julia
    ext_a = GI.getexterior(poly_a)
+    ext_b = GI.getexterior(poly_b)

Then, I get the union of the exteriors

julia
    a_list, b_list, a_idx_list = _build_ab_list(alg, T, ext_a, ext_b, _union_delay_cross_f, _union_delay_bounce_f; exact)
+    polys = _trace_polynodes(alg, T, a_list, b_list, a_idx_list, _union_step, poly_a, poly_b)
     n_pieces = length(polys)

Check if one polygon totally within other and if so, return the larger polygon

julia
    a_in_b, b_in_a = false, false
     if n_pieces == 0 # no crossing points, determine if either poly is inside the other
-        a_in_b, b_in_a = _find_non_cross_orientation(a_list, b_list, ext_a, ext_b; exact)
+        a_in_b, b_in_a = _find_non_cross_orientation(alg, T, a_list, b_list, ext_a, ext_b; exact)
         if a_in_b
             push!(polys, GI.Polygon([_linearring(tuples(ext_b))]))
         elseif b_in_a
@@ -90,8 +96,8 @@
         sort!(polys, by = area, rev = true)  # sort by area so first element is the exterior

the first element is the exterior, the rest are holes

julia
        @views append!(polys[1].geom, (GI.getexterior(p) for p in polys[2:end]))
         keepat!(polys, 1)
     end

Add in holes

julia
    if GI.nhole(poly_a) != 0 || GI.nhole(poly_b) != 0
-        _add_union_holes!(polys, a_in_b, b_in_a, poly_a, poly_b; exact)
-    end

Remove unneeded collinear points on same edge

julia
    _remove_collinear_points!(polys, [false], poly_a, poly_b)
+        _add_union_holes!(alg, polys, a_in_b, b_in_a, poly_a, poly_b; exact)
+    end

Remove unneeded collinear points on same edge

julia
    _remove_collinear_points!(alg, polys, [false], poly_a, poly_b)
     return polys
 end

Helper functions for Unions with Greiner and Hormann Polygon Clipping ​

julia
#= When marking the crossing status of a delayed crossing, the chain start point is crossing
 when the start point is a entry point and is a bouncing point when the start point is an
@@ -111,11 +117,11 @@
 #= Add holes from two polygons to the exterior polygon formed by their union. If adding the
 the holes reveals that the polygons aren't actually intersecting, return the original
 polygons. =#
-function _add_union_holes!(polys, a_in_b, b_in_a, poly_a, poly_b; exact)
+function _add_union_holes!(alg::FosterHormannClipping, polys, a_in_b, b_in_a, poly_a, poly_b; exact)
     if a_in_b
-        _add_union_holes_contained_polys!(polys, poly_a, poly_b; exact)
+        _add_union_holes_contained_polys!(alg, polys, poly_a, poly_b; exact)
     elseif b_in_a
-        _add_union_holes_contained_polys!(polys, poly_b, poly_a; exact)
+        _add_union_holes_contained_polys!(alg, polys, poly_b, poly_a; exact)
     else  # Polygons intersect, but neither is contained in the other
         n_a_holes = GI.nhole(poly_a)
         ext_poly_a = GI.Polygon(StaticArrays.SVector(GI.getexterior(poly_a)))
@@ -126,7 +132,7 @@
         curr_exterior_poly = n_a_holes > 0 ? ext_poly_b : ext_poly_a
         current_poly = n_a_holes > 0 ? ext_poly_b : poly_a

Loop over all holes in both original polygons

julia
        for (i, ih) in enumerate(Iterators.flatten((GI.gethole(poly_a), GI.gethole(poly_b))))
             ih = _linearring(ih)
-            in_ext, _, _ = _line_polygon_interactions(ih, curr_exterior_poly; exact, closed_line = true)
+            in_ext, _, _ = _line_polygon_interactions(#=TODO: alg.manifold=# ih, curr_exterior_poly; exact, closed_line = true)
             if !in_ext
                 #= if the hole isn't in the overlapping region between the two polygons, add
                 the hole to the resulting polygon as we know it can't interact with any
@@ -139,7 +145,7 @@
                 between poly_a and poly_b within the overlap are added, in addition to all
                 holes in non-overlapping regions =#
                 h_poly = GI.Polygon(StaticArrays.SVector(ih))
-                new_holes = difference(h_poly, current_poly; target = GI.PolygonTrait())
+                new_holes = difference(alg, h_poly, current_poly; target = GI.PolygonTrait())
                 append!(polys[1].geom, (GI.getexterior(new_h) for new_h in new_holes))
             end
             if i == n_a_holes
@@ -154,12 +160,12 @@
 #= Add holes holes to the union of two polygons where one of the original polygons was
 inside of the other. If adding the the holes reveal that the polygons aren't actually
 intersecting, return the original polygons.=#
-function _add_union_holes_contained_polys!(polys, interior_poly, exterior_poly; exact)
+function _add_union_holes_contained_polys!(alg::FosterHormannClipping, polys, interior_poly, exterior_poly; exact)
     union_poly = polys[1]
     ext_int_ring = GI.getexterior(interior_poly)
     for (i, ih) in enumerate(GI.gethole(exterior_poly))
         poly_ih = GI.Polygon(StaticArrays.SVector(ih))
-        in_ih, on_ih, out_ih = _line_polygon_interactions(ext_int_ring, poly_ih; exact, closed_line = true)
+        in_ih, on_ih, out_ih = _line_polygon_interactions(#=TODO: alg.manifold=# ext_int_ring, poly_ih; exact, closed_line = true)
         if in_ih  # at least part of interior polygon exterior is within the ith hole
             if !on_ih && !out_ih
                 #= interior polygon is completely within the ith hole - polygons aren't
@@ -170,7 +176,7 @@
             else
                 #= interior polygon is partially within the ith hole - area of interior
                 polygon reduces the size of the hole =#
-                new_holes = difference(poly_ih, interior_poly; target = GI.PolygonTrait())
+                new_holes = difference(alg, poly_ih, interior_poly; target = GI.PolygonTrait())
                 append!(union_poly.geom, (GI.getexterior(new_h) for new_h in new_holes))
             end
         else  # none of interior polygon exterior is within the ith hole
@@ -184,14 +190,14 @@
                 #= interior polygon's exterior is outside of the ith hole - the interior
                 polygon could either be disjoint from the hole, or contain the hole =#
                 ext_int_poly = GI.Polygon(StaticArrays.SVector(ext_int_ring))
-                in_int, _, _ = _line_polygon_interactions(ih, ext_int_poly; exact, closed_line = true)
+                in_int, _, _ = _line_polygon_interactions(#=TODO: alg.manifold=# ih, ext_int_poly; exact, closed_line = true)
                 if in_int
                     #= interior polygon contains the hole - overlapping holes between the
                     interior and exterior polygons will be added =#
                     for jh in GI.gethole(interior_poly)
                         poly_jh = GI.Polygon(StaticArrays.SVector(jh))
                         if intersects(poly_ih, poly_jh)
-                            new_holes = intersection(poly_ih, poly_jh; target = GI.PolygonTrait())
+                            new_holes = intersection(#=TODO: alg, =#poly_ih, poly_jh; target = GI.PolygonTrait())
                             append!(union_poly.geom, (GI.getexterior(new_h) for new_h in new_holes))
                         end
                     end
@@ -211,7 +217,7 @@
 with `fix_multipoly = nothing`, `multipolygon_b` will be validated using the given (default
 is `UnionIntersectingPolygons()`) correction. =#
 function _union(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.PolygonTrait, poly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -221,7 +227,7 @@
     end
     polys = [tuples(poly_a, T)]
     for poly_b in GI.getpolygon(multipoly_b)
-        if intersects(polys[1], poly_b)

If polygons intersect and form a new polygon, swap out polygon

julia
            new_polys = union(polys[1], poly_b; target)
+        if intersects(#=TODO: alg.manifold, =#polys[1], poly_b)

If polygons intersect and form a new polygon, swap out polygon

julia
            new_polys = union(alg, polys[1], poly_b; target)
             if length(new_polys) > 1 # case where they intersect by just one point
                 push!(polys, tuples(poly_b, T))  # add poly_b to list
             else
@@ -236,18 +242,18 @@
 #= Multipolygon with polygon union is equivalent to taking the union of the polygon with the
 multipolygon and thus simply switches the order of operations and calls the above method. =#
 _union(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.PolygonTrait, poly_b;
     kwargs...,
-) where T = union(poly_b, multipoly_a; target, kwargs...)
+) where T = union(alg, poly_b, multipoly_a; target, kwargs...)
 
 #= Multipolygon with multipolygon union - note that all of the sub-polygons of `multipoly_a`
 and the sub-polygons of `multipoly_b` are included and combined together where there are
 intersections. Unless specified with `fix_multipoly = nothing`, `multipolygon_b` will be
 validated using the given (default is `UnionIntersectingPolygons()`) correction. =#
 function _union(
-    target::TraitTarget{GI.PolygonTrait}, ::Type{T},
+    alg::FosterHormannClipping, target::TraitTarget{GI.PolygonTrait}, ::Type{T},
     ::GI.MultiPolygonTrait, multipoly_a,
     ::GI.MultiPolygonTrait, multipoly_b;
     fix_multipoly = UnionIntersectingPolygons(), kwargs...,
@@ -259,12 +265,53 @@
     multipolys = multipoly_b
     local polys
     for poly_a in GI.getpolygon(multipoly_a)
-        polys = union(poly_a, multipolys; target, fix_multipoly)
+        polys = union(alg, poly_a, multipolys; target, fix_multipoly)
         multipolys = GI.MultiPolygon(polys)
     end
     return polys
+end
+
+function _union(
+    alg::FosterHormannClipping, target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.PolygonTrait, poly_b;
+    kwargs...,
+) where T
+    return UnionIntersectingPolygons(#=TODO: alg.manifold=#)(GI.MultiPolygon([poly_a, poly_b]))
+end
+
+function _union(
+    alg::FosterHormannClipping, target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.PolygonTrait, poly_a,
+    ::GI.MultiPolygonTrait, multipoly_b;
+    fix_multipoly = UnionIntersectingPolygons(),
+    kwargs...,
+) where T
+    res = union(alg, multipoly_b, poly_a; target = GI.PolygonTrait(), kwargs...)
+    if !isnothing(fix_multipoly)
+        return fix_multipoly(GI.MultiPolygon(res))
+    else
+        return GI.MultiPolygon(res)
+    end
+end

this is the opposite of the above

julia
function _union(
+    alg::FosterHormannClipping, target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    ::GI.MultiPolygonTrait, multipoly_a,
+    ::GI.PolygonTrait, poly_b;
+    fix_multipoly = UnionIntersectingPolygons(),
+    kwargs...,
+) where T
+    union(alg, poly_b, multipoly_a; target, fix_multipoly, kwargs...)
+end
+
+function _union(
+    alg::FosterHormannClipping, target::TraitTarget{GI.MultiPolygonTrait}, ::Type{T},
+    trait_a::GI.MultiPolygonTrait, multipoly_a,
+    trait_b::GI.MultiPolygonTrait, multipoly_b;
+    fix_multipoly = UnionIntersectingPolygons(), kwargs...,
+) where T
+    return GI.MultiPolygon(_union(alg, TraitTarget{GI.PolygonTrait}(), T, trait_a, multipoly_a, trait_b, multipoly_b; fix_multipoly, kwargs...))
 end

Many type and target combos aren't implemented

julia
function _union(
-    ::TraitTarget{Target}, ::Type{T},
+    alg::GeometryOpsCore.Algorithm, target::TraitTarget{Target}, ::Type{T},
     trait_a::GI.AbstractTrait, geom_a,
     trait_b::GI.AbstractTrait, geom_b;
     kwargs...
@@ -272,7 +319,7 @@
     throw(ArgumentError("Union between $trait_a and $trait_b with target $Target isn't implemented yet."))
     return nothing
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/convex_hull.html b/previews/PR259/source/methods/convex_hull.html index 5521c61cd..4b1eef7fb 100644 --- a/previews/PR259/source/methods/convex_hull.html +++ b/previews/PR259/source/methods/convex_hull.html @@ -9,11 +9,11 @@ - + - + - + @@ -29,7 +29,7 @@ hull_poly = GO.convex_hull(points) lines!(a, hull_poly; label = "Convex hull", color = Makie.wong_colors()[2]) axislegend(a) -f

Convex hull of the USA ​

julia
import GeometryOps as GO, GeoInterface as GI
+f

Convex hull of the USA ​

julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 using NaturalEarth # for data
 
@@ -37,7 +37,7 @@
 usa = all_adm0.geometry[findfirst(==("USA"), all_adm0.ADM0_A3)]
 f, a, p = lines(usa)
 lines!(a, GO.convex_hull(usa); color = Makie.wong_colors()[2])
-f

Investigating the winding order ​

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

GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.

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

We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...

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

Investigating the winding order ​

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

GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.

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

We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...

julia
import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
 using CairoMakie # to plot
 
 points = rand(Point2{Float64}, 100)
@@ -48,7 +48,7 @@
 a1, p1 = lines(fig[1, 1], go_hull; color = 1:GI.npoint(go_hull), axis = (; title = "MonotoneChainMethod()"))
 a2, p2 = lines(fig[2, 1], lg_hull; color = 1:GI.npoint(lg_hull), axis = (; title = "GEOS()"))
 cb = Colorbar(fig[1:2, 2], p1; label = "Vertex number")
-fig

Implementation ​

julia
"""
+fig

Implementation ​

julia
"""
     convex_hull([method], geometries)
 
 Compute the convex hull of the points in `geometries`.
@@ -78,7 +78,7 @@
 struct MonotoneChainMethod end

GrahamScanMethod, etc. can be implemented in GO as well, if someone wants to. If we add an extension on Quickhull.jl, then that would be another algorithm.

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

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

julia
function convex_hull(::MonotoneChainMethod, geometries)

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

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

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

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

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

julia
    hull = DelaunayTriangulation.convex_hull(points)

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/distance.html b/previews/PR259/source/methods/distance.html index 6700370a4..80c3948f7 100644 --- a/previews/PR259/source/methods/distance.html +++ b/previews/PR259/source/methods/distance.html @@ -9,11 +9,11 @@ - + - + - + @@ -32,13 +32,13 @@ 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
@@ -202,7 +202,7 @@
     end
     return min_dist
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/equals.html b/previews/PR259/source/methods/equals.html index 4c54cd585..baffd7764 100644 --- a/previews/PR259/source/methods/equals.html +++ b/previews/PR259/source/methods/equals.html @@ -9,11 +9,11 @@ - + - + - + @@ -32,7 +32,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

We can see that the two lines do not share a common set of points and edges in the plot, so they are not equal:

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

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that while we need the same set of points and edges, they don't need to be provided in the same order for polygons. For for example, we need the same set points for two multipoints to be equal, but they don't have to be saved in the same order. The winding order also doesn't have to be the same to represent the same geometry. This requires checking every point against every other point in the two geometries we are comparing. Also, some geometries must be "closed" like polygons and linear rings. These will be assumed to be closed, even if they don't have a repeated last point explicitly written in the coordinates. Additionally, geometries and multi-geometries can be equal if the multi-geometry only includes that single geometry.

julia
"""
+f

We can see that the two lines do not share a common set of points and edges in the plot, so they are not equal:

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

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that while we need the same set of points and edges, they don't need to be provided in the same order for polygons. For for example, we need the same set points for two multipoints to be equal, but they don't have to be saved in the same order. The winding order also doesn't have to be the same to represent the same geometry. This requires checking every point against every other point in the two geometries we are comparing. Also, some geometries must be "closed" like polygons and linear rings. These will be assumed to be closed, even if they don't have a repeated last point explicitly written in the coordinates. Additionally, geometries and multi-geometries can be equal if the multi-geometry only includes that single geometry.

julia
"""
     equals(geom1, geom2)::Bool
 
 Compare two Geometries return true if they are the same geometry.
@@ -286,7 +286,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/contains.html b/previews/PR259/source/methods/geom_relations/contains.html index 96643cd66..8d8a8d106 100644 --- a/previews/PR259/source/methods/geom_relations/contains.html +++ b/previews/PR259/source/methods/geom_relations/contains.html @@ -9,11 +9,11 @@ - + - + - + @@ -32,7 +32,7 @@ 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
 
@@ -54,7 +54,7 @@
 ```
 """
 contains(g1, g2) = GeometryOps.within(g2, g1)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/coveredby.html b/previews/PR259/source/methods/geom_relations/coveredby.html index 25ec09106..80ccbc056 100644 --- a/previews/PR259/source/methods/geom_relations/coveredby.html +++ b/previews/PR259/source/methods/geom_relations/coveredby.html @@ -9,11 +9,11 @@ - + - + - + @@ -30,7 +30,7 @@ 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,)
@@ -204,7 +204,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/covers.html b/previews/PR259/source/methods/geom_relations/covers.html index 45cd5417d..0c21398ab 100644 --- a/previews/PR259/source/methods/geom_relations/covers.html +++ b/previews/PR259/source/methods/geom_relations/covers.html @@ -9,11 +9,11 @@ - + - + - + @@ -32,7 +32,7 @@ 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
 
@@ -54,7 +54,7 @@
 ```
 """
 covers(g1, g2)::Bool = GeometryOps.coveredby(g2, g1)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/crosses.html b/previews/PR259/source/methods/geom_relations/crosses.html index 2427fd3ac..f26bd55ad 100644 --- a/previews/PR259/source/methods/geom_relations/crosses.html +++ b/previews/PR259/source/methods/geom_relations/crosses.html @@ -9,9 +9,9 @@ - + - + @@ -141,7 +141,7 @@ end return false end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/disjoint.html b/previews/PR259/source/methods/geom_relations/disjoint.html index 627ecea45..3d0112866 100644 --- a/previews/PR259/source/methods/geom_relations/disjoint.html +++ b/previews/PR259/source/methods/geom_relations/disjoint.html @@ -9,11 +9,11 @@ - + - + - + @@ -32,7 +32,7 @@ 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(),)
@@ -199,7 +199,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/geom_geom_processors.html b/previews/PR259/source/methods/geom_relations/geom_geom_processors.html index 20f4dbcc3..4c9cb1552 100644 --- a/previews/PR259/source/methods/geom_relations/geom_geom_processors.html +++ b/previews/PR259/source/methods/geom_relations/geom_geom_processors.html @@ -9,9 +9,9 @@ - + - + @@ -458,7 +458,7 @@ end return skip, returnval end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/intersects.html b/previews/PR259/source/methods/geom_relations/intersects.html index 175048f1c..f058f9629 100644 --- a/previews/PR259/source/methods/geom_relations/intersects.html +++ b/previews/PR259/source/methods/geom_relations/intersects.html @@ -9,11 +9,11 @@ - + - + - + @@ -30,7 +30,7 @@ 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.
@@ -48,7 +48,7 @@
 ```
 """
 intersects(geom1, geom2) = !disjoint(geom1, geom2)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/overlaps.html b/previews/PR259/source/methods/geom_relations/overlaps.html index 94fa57199..828e421a5 100644 --- a/previews/PR259/source/methods/geom_relations/overlaps.html +++ b/previews/PR259/source/methods/geom_relations/overlaps.html @@ -9,11 +9,11 @@ - + - + - + @@ -32,7 +32,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions automatically can return false.

For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectively, without being contained.

julia
"""
+f

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions automatically can return false.

For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectively, without being contained.

julia
"""
     overlaps(geom1, geom2)::Bool
 
 Compare two Geometries of the same dimension and return true if their
@@ -233,7 +233,7 @@
     seg_val, _, _ = _intersection_point(Float64, edge_a, edge_b; exact = _False())
     return seg_val != line_out
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/touches.html b/previews/PR259/source/methods/geom_relations/touches.html index 74619be74..d33e1cfa6 100644 --- a/previews/PR259/source/methods/geom_relations/touches.html +++ b/previews/PR259/source/methods/geom_relations/touches.html @@ -9,11 +9,11 @@ - + - + - + @@ -31,7 +31,7 @@ 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)
@@ -195,7 +195,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/geom_relations/within.html b/previews/PR259/source/methods/geom_relations/within.html index c09192be3..6cea7cd2d 100644 --- a/previews/PR259/source/methods/geom_relations/within.html +++ b/previews/PR259/source/methods/geom_relations/within.html @@ -9,11 +9,11 @@ - + - + - + @@ -32,7 +32,7 @@ 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)
@@ -214,7 +214,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/orientation.html b/previews/PR259/source/methods/orientation.html index 097e5e9ec..4db3e5fc7 100644 --- a/previews/PR259/source/methods/orientation.html +++ b/previews/PR259/source/methods/orientation.html @@ -9,9 +9,9 @@ - + - + @@ -121,7 +121,7 @@ _isparallel(bx - ax, by - ay, dx - cx, dy - cy) _isparallel(Δx1, Δy1, Δx2, Δy2) = (Δx1 * Δy2 == Δy1 * Δx2)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/methods/polygonize.html b/previews/PR259/source/methods/polygonize.html index 9dedcd30a..4b4978027 100644 --- a/previews/PR259/source/methods/polygonize.html +++ b/previews/PR259/source/methods/polygonize.html @@ -9,9 +9,9 @@ - + - + @@ -311,7 +311,7 @@ end return edges end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/not_implemented_yet.html b/previews/PR259/source/not_implemented_yet.html index c077457a2..e6743e014 100644 --- a/previews/PR259/source/not_implemented_yet.html +++ b/previews/PR259/source/not_implemented_yet.html @@ -9,9 +9,9 @@ - + - + @@ -22,7 +22,7 @@
GeometryOps.jl

Appearance

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/primitives.html b/previews/PR259/source/primitives.html index 9f92b869f..dd2ec8a00 100644 --- a/previews/PR259/source/primitives.html +++ b/previews/PR259/source/primitives.html @@ -9,9 +9,9 @@ - + - + @@ -22,7 +22,7 @@
GeometryOps.jl

Appearance

- + \ No newline at end of file diff --git a/previews/PR259/source/src/GeometryOpsCore.html b/previews/PR259/source/src/GeometryOpsCore.html index 9dc0f218e..7eaf573ab 100644 --- a/previews/PR259/source/src/GeometryOpsCore.html +++ b/previews/PR259/source/src/GeometryOpsCore.html @@ -9,9 +9,9 @@ - + - + @@ -53,7 +53,7 @@ include("geometry_utils.jl") end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/apply.html b/previews/PR259/source/src/apply.html index 631809a08..b3402d34e 100644 --- a/previews/PR259/source/src/apply.html +++ b/previews/PR259/source/src/apply.html @@ -9,11 +9,11 @@ - + - + - + @@ -30,7 +30,7 @@ flipped_geom = GO.apply(GI.PointTrait, geom) do p (GI.y(p), GI.x(p)) -end

source

GeometryOpsCore.applyreduce Function
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)

Apply function f to all objects with the target trait, and reduce the result with an op like +.

The order and grouping of application of op is not guaranteed.

If threaded==true threads will be used over arrays and iterables, feature collections and nested geometries.

source

What is apply? ​

apply applies some function to every geometry matching the Target GeoInterface trait, in some arbitrarily nested object made up of:

  • AbstractArrays (we also try to iterate other non-GeoInteface compatible object)

  • FeatureCollectionTrait objects

  • FeatureTrait objects

  • AbstractGeometryTrait objects

apply recursively calls itself through these nested layers until it reaches objects with the Target GeoInterface trait. When found apply applies the function f, and stops.

The outer recursive functions then progressively rebuild the object using GeoInterface objects matching the original traits.

If PointTrait is found but it is not the Target, an error is thrown. This likely means the object contains a different geometry trait to the target, such as MultiPointTrait when LineStringTrait was specified.

To handle this possibility it may be necessary to make Target a Union of traits found at the same level of nesting, and define methods of f to handle all cases.

Be careful making a union across "levels" of nesting, e.g. Union{FeatureTrait,PolygonTrait}, as _apply will just never reach PolygonTrait when all the polygons are wrapped in a FeatureTrait object.

Embedding: ​

extent and crs can be embedded in all geometries, features, and feature collections as part of apply. Geometries deeper than Target will of course not have new extent or crs embedded.

  • calc_extent signals to recalculate an Extent and embed it.

  • crs will be embedded as-is

Threading ​

Threading is used at the outermost level possible - over an array, feature collection, or e.g. a MultiPolygonTrait where each PolygonTrait sub-geometry may be calculated on a different thread.

Currently, threading defaults to false for all objects, but can be turned on by passing the keyword argument threaded=true to apply.

julia
"""
+end

source

GeometryOpsCore.applyreduce Function
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)

Apply function f to all objects with the target trait, and reduce the result with an op like +.

The order and grouping of application of op is not guaranteed.

If threaded==true threads will be used over arrays and iterables, feature collections and nested geometries.

source

What is apply? ​

apply applies some function to every geometry matching the Target GeoInterface trait, in some arbitrarily nested object made up of:

  • AbstractArrays (we also try to iterate other non-GeoInteface compatible object)

  • FeatureCollectionTrait objects

  • FeatureTrait objects

  • AbstractGeometryTrait objects

apply recursively calls itself through these nested layers until it reaches objects with the Target GeoInterface trait. When found apply applies the function f, and stops.

The outer recursive functions then progressively rebuild the object using GeoInterface objects matching the original traits.

If PointTrait is found but it is not the Target, an error is thrown. This likely means the object contains a different geometry trait to the target, such as MultiPointTrait when LineStringTrait was specified.

To handle this possibility it may be necessary to make Target a Union of traits found at the same level of nesting, and define methods of f to handle all cases.

Be careful making a union across "levels" of nesting, e.g. Union{FeatureTrait,PolygonTrait}, as _apply will just never reach PolygonTrait when all the polygons are wrapped in a FeatureTrait object.

Embedding: ​

extent and crs can be embedded in all geometries, features, and feature collections as part of apply. Geometries deeper than Target will of course not have new extent or crs embedded.

  • calc_extent signals to recalculate an Extent and embed it.

  • crs will be embedded as-is

Threading ​

Threading is used at the outermost level possible - over an array, feature collection, or e.g. a MultiPolygonTrait where each PolygonTrait sub-geometry may be calculated on a different thread.

Currently, threading defaults to false for all objects, but can be turned on by passing the keyword argument threaded=true to apply.

julia
"""
     apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
 
 Reconstruct a geometry, feature, feature collection, or nested vectors of
@@ -174,7 +174,7 @@
         end
     end

Finally we join the results into a new vector

julia
    return mapreduce(fetch, vcat, tasks)
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/applyreduce.html b/previews/PR259/source/src/applyreduce.html index 43b4364f4..918a73eab 100644 --- a/previews/PR259/source/src/applyreduce.html +++ b/previews/PR259/source/src/applyreduce.html @@ -9,9 +9,9 @@ - + - + @@ -101,7 +101,7 @@ function _mapreducetasks(f::F, op, taskrange, threaded::_False; init) where F mapreduce(f, op, taskrange; init) end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/geometry_utils.html b/previews/PR259/source/src/geometry_utils.html index 8ff09e0bd..588c40406 100644 --- a/previews/PR259/source/src/geometry_utils.html +++ b/previews/PR259/source/src/geometry_utils.html @@ -9,9 +9,9 @@ - + - + @@ -23,7 +23,7 @@
GeometryOps.jl

Appearance

julia
_linearring(geom::GI.LineString) = GI.LinearRing(parent(geom); extent=geom.extent, crs=geom.crs)
 _linearring(geom::GI.LinearRing) = geom

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/keyword_docs.html b/previews/PR259/source/src/keyword_docs.html index 8745c3ef4..aa4cab513 100644 --- a/previews/PR259/source/src/keyword_docs.html +++ b/previews/PR259/source/src/keyword_docs.html @@ -9,9 +9,9 @@ - + - + @@ -30,7 +30,7 @@ $CRS_KEYWORD $CALC_EXTENT_KEYWORD """

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/other_primitives.html b/previews/PR259/source/src/other_primitives.html index 7fa0fafc1..b40559a2c 100644 --- a/previews/PR259/source/src/other_primitives.html +++ b/previews/PR259/source/src/other_primitives.html @@ -9,11 +9,11 @@ - + - + - + @@ -22,8 +22,8 @@
GeometryOps.jl

Appearance

Other primitives (unwrap, flatten, etc) ​

This file defines the following primitives:

GeometryOpsCore.unwrap Function
julia
unwrap(target::Type{<:AbstractTrait}, obj)
-unwrap(f, target::Type{<:AbstractTrait}, obj)

Unwrap the object to vectors, down to the target trait.

If f is passed in it will be applied to the target geometries as they are found.

source

GeometryOpsCore.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

GeometryOpsCore.reconstruct Function
julia
reconstruct(geom, components)

Reconstruct geom from an iterable of component objects that match its structure.

All objects in components must have the same GeoInterface.trait.

Usually used in combination with flatten.

source

GeometryOpsCore.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

julia
"""
+unwrap(f, target::Type{<:AbstractTrait}, obj)

Unwrap the object to vectors, down to the target trait.

If f is passed in it will be applied to the target geometries as they are found.

source

GeometryOpsCore.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

GeometryOpsCore.reconstruct Function
julia
reconstruct(geom, components)

Reconstruct geom from an iterable of component objects that match its structure.

All objects in components must have the same GeoInterface.trait.

Usually used in combination with flatten.

source

GeometryOpsCore.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

julia
"""
     unwrap(target::Type{<:AbstractTrait}, obj)
     unwrap(f, target::Type{<:AbstractTrait}, obj)
 
@@ -138,7 +138,7 @@
 
     return T{hasZ,hasM}(child_geoms; crs, extent)
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/types/algorithm.html b/previews/PR259/source/src/types/algorithm.html index 7c7b953d1..1a82a0e4e 100644 --- a/previews/PR259/source/src/types/algorithm.html +++ b/previews/PR259/source/src/types/algorithm.html @@ -9,9 +9,9 @@ - + - + @@ -56,7 +56,7 @@ end MyIndependentAlgorithm(m::Manifold; kw1 = 1, kw2 = "hello") = MyIndependentAlgorithm(m, kw1, kw2)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/types/booltypes.html b/previews/PR259/source/src/types/booltypes.html index bd03634d4..2c90b4983 100644 --- a/previews/PR259/source/src/types/booltypes.html +++ b/previews/PR259/source/src/types/booltypes.html @@ -9,9 +9,9 @@ - + - + @@ -53,7 +53,7 @@ @inline _booltype(x::Bool)::BoolsAsTypes = x ? _True() : _False() @inline _booltype(x::BoolsAsTypes)::BoolsAsTypes = x

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/types/exceptions.html b/previews/PR259/source/src/types/exceptions.html index 92269864f..a5f62333e 100644 --- a/previews/PR259/source/src/types/exceptions.html +++ b/previews/PR259/source/src/types/exceptions.html @@ -9,9 +9,9 @@ - + - + @@ -53,7 +53,7 @@ print(io, e.extra_text) end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/types/manifold.html b/previews/PR259/source/src/types/manifold.html index 609c32dcd..a4073c0d0 100644 --- a/previews/PR259/source/src/types/manifold.html +++ b/previews/PR259/source/src/types/manifold.html @@ -9,9 +9,9 @@ - + - + @@ -95,7 +95,7 @@ semiminor_axis::T inv_flattening::T end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/types/operation.html b/previews/PR259/source/src/types/operation.html index 6bfa6b578..d14143d01 100644 --- a/previews/PR259/source/src/types/operation.html +++ b/previews/PR259/source/src/types/operation.html @@ -9,9 +9,9 @@ - + - + @@ -35,7 +35,7 @@ function (op::Area{Alg})(data; threaded = _False(), init = 0.0) where {Alg <: Algorithm} return GO.area(op.alg, data; threaded, init) end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/src/types/traittarget.html b/previews/PR259/source/src/types/traittarget.html index d2f867e9f..7a1772137 100644 --- a/previews/PR259/source/src/types/traittarget.html +++ b/previews/PR259/source/src/types/traittarget.html @@ -9,9 +9,9 @@ - + - + @@ -48,7 +48,7 @@ Base.in(::Trait, ::TraitTarget{Target}) where {Trait <: GI.AbstractTrait, Target} = Trait <: Target

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/correction/closed_ring.html b/previews/PR259/source/transformations/correction/closed_ring.html index 695c2857c..f166cb29a 100644 --- a/previews/PR259/source/transformations/correction/closed_ring.html +++ b/previews/PR259/source/transformations/correction/closed_ring.html @@ -9,9 +9,9 @@ - + - + @@ -51,7 +51,7 @@ else

Assemble the ring as a vector

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

Close the ring

julia
        push!(tups, tups[1])

Return an actual ring

julia
        return GI.LinearRing(tups)
     end
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/correction/geometry_correction.html b/previews/PR259/source/transformations/correction/geometry_correction.html index 8ea8434bc..c57009933 100644 --- a/previews/PR259/source/transformations/correction/geometry_correction.html +++ b/previews/PR259/source/transformations/correction/geometry_correction.html @@ -9,11 +9,11 @@ - + - + - + @@ -21,7 +21,7 @@ -
GeometryOps.jl

Appearance

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
"""
+    
GeometryOps.jl
Appearance
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.
@@ -51,8 +51,8 @@
         final_geometry = apply(net_function, Trait, final_geometry; kwargs...)
     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.

-    
+end

Available corrections ​

GeometryOps.ClosedRing Type
julia
ClosedRing() <: GeometryCorrection

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

It can be called on any geometry correction as usual.

See also GeometryCorrection.

source

GeometryOps.DiffIntersectingPolygons Type
julia
DiffIntersectingPolygons() <: GeometryCorrection

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

source

GeometryOps.GeometryCorrection Type
julia
abstract type GeometryCorrection

This abstract type represents a geometry correction.

Interface

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

source

GeometryOps.UnionIntersectingPolygons Type
julia
UnionIntersectingPolygons() <: GeometryCorrection

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

See also GeometryCorrection.

source

This page was generated using Literate.jl.

+ \ No newline at end of file diff --git a/previews/PR259/source/transformations/correction/intersecting_polygons.html b/previews/PR259/source/transformations/correction/intersecting_polygons.html index 71d017b72..0470e331a 100644 --- a/previews/PR259/source/transformations/correction/intersecting_polygons.html +++ b/previews/PR259/source/transformations/correction/intersecting_polygons.html @@ -9,11 +9,11 @@ - + - + - + @@ -23,8 +23,8 @@
GeometryOps.jl

Appearance

Intersecting Polygons ​

julia
export UnionIntersectingPolygons

If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirement for a valid multipolygon. However, different libraries may achieve this in different ways.

For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the UnionIntersectingPolygons correction.

The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon's that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.

Example ​

Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.

For example, the following multipolygon is not valid:

julia
import GeoInterface as GI
 polygon = GI.Polygon([[(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)]])
-multipolygon = GI.MultiPolygon([polygon, polygon])
GeoInterface.Wrappers.MultiPolygon{false, false}([GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])]), GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])])])

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}([GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])])])

You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.

Implementation ​

julia
"""
+multipolygon = GI.MultiPolygon([polygon, polygon])
GeoInterface.Wrappers.MultiPolygon{false, false}([GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])]), GeoInterface.Wrappers.Polygon([GeoInterface.Wrappers.LinearRing([(0.0, 0.0), … (3) … , (0.0, 0.0)])])])

given that the two sub-polygons are the exact same shape.

@example
import GeometryOps as GO
+GO.fix(multipolygon, corrections = [GO.UnionIntersectingPolygons()])

You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.

Implementation ​

julia
"""
     UnionIntersectingPolygons() <: GeometryCorrection
 
 This correction ensures that the polygon's included in a multipolygon aren't intersecting.
@@ -118,7 +118,7 @@
     end
     return diff_multipoly
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/extent.html b/previews/PR259/source/transformations/extent.html index d3e91ced7..b29199909 100644 --- a/previews/PR259/source/transformations/extent.html +++ b/previews/PR259/source/transformations/extent.html @@ -9,9 +9,9 @@ - + - + @@ -34,7 +34,7 @@ """ embed_extent(x; threaded=false, crs=nothing) = apply(identity, GI.PointTrait(), x; calc_extent=true, threaded, crs)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/flip.html b/previews/PR259/source/transformations/flip.html index eb777e080..3fcc4c6aa 100644 --- a/previews/PR259/source/transformations/flip.html +++ b/previews/PR259/source/transformations/flip.html @@ -9,9 +9,9 @@ - + - + @@ -43,7 +43,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/forcedims.html b/previews/PR259/source/transformations/forcedims.html index 5e686f9c6..5e492c34a 100644 --- a/previews/PR259/source/transformations/forcedims.html +++ b/previews/PR259/source/transformations/forcedims.html @@ -9,9 +9,9 @@ - + - + @@ -49,7 +49,7 @@ (x, y, z) end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/reproject.html b/previews/PR259/source/transformations/reproject.html index 90f5f8068..2f20c9e64 100644 --- a/previews/PR259/source/transformations/reproject.html +++ b/previews/PR259/source/transformations/reproject.html @@ -9,9 +9,9 @@ - + - + @@ -62,7 +62,7 @@ nothing end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/segmentize.html b/previews/PR259/source/transformations/segmentize.html index e2f99823c..4f96959af 100644 --- a/previews/PR259/source/transformations/segmentize.html +++ b/previews/PR259/source/transformations/segmentize.html @@ -9,11 +9,11 @@ - + - + - + @@ -42,7 +42,7 @@ 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
@@ -80,7 +80,7 @@
 
 end
 
-plot_trials(segmentize_suite)

julia
abstract type SegmentizeMethod end
+plot_trials(segmentize_suite)

julia
abstract type SegmentizeMethod end
 """
     LinearSegments(; max_distance::Real)
 
@@ -182,7 +182,7 @@
     end

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

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

Note

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/simplify.html b/previews/PR259/source/transformations/simplify.html index 64257183f..6e3717946 100644 --- a/previews/PR259/source/transformations/simplify.html +++ b/previews/PR259/source/transformations/simplify.html @@ -9,11 +9,11 @@ - + - + - + @@ -32,7 +32,7 @@ f, a, p = poly(original; label = "Original") poly!(simple; label = "Simplified") axislegend(a) -f

Benchmark ​

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

julia
using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
+f

Benchmark ​

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

julia
using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
 import GeometryOps as GO, LibGEOS as LG, GeoInterface as GI
 using CoordinateTransformations
 using NaturalEarth
@@ -45,7 +45,7 @@
 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"))
@@ -59,7 +59,7 @@
     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)
@@ -78,7 +78,7 @@
     # 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
@@ -511,7 +511,7 @@
     end
     return nothing
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/transform.html b/previews/PR259/source/transformations/transform.html index 6db7f5397..e2f54a345 100644 --- a/previews/PR259/source/transformations/transform.html +++ b/previews/PR259/source/transformations/transform.html @@ -9,9 +9,9 @@ - + - + @@ -76,7 +76,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/transformations/tuples.html b/previews/PR259/source/transformations/tuples.html index fa397ee90..11ed657ff 100644 --- a/previews/PR259/source/transformations/tuples.html +++ b/previews/PR259/source/transformations/tuples.html @@ -9,9 +9,9 @@ - + - + @@ -40,7 +40,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/types.html b/previews/PR259/source/types.html index 3fbe1abc2..2935a0c7a 100644 --- a/previews/PR259/source/types.html +++ b/previews/PR259/source/types.html @@ -9,9 +9,9 @@ - + - + @@ -59,7 +59,7 @@ error("$(f) requires a `$(kw)` keyword argument to the `GEOS` algorithm, which was not provided.") end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/utils/LoopStateMachine.html b/previews/PR259/source/utils/LoopStateMachine.html index 18067e2f4..04c8f2809 100644 --- a/previews/PR259/source/utils/LoopStateMachine.html +++ b/previews/PR259/source/utils/LoopStateMachine.html @@ -9,9 +9,9 @@ - + - + @@ -95,7 +95,7 @@ end end end

You can define more actions as you desire.

julia
end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/utils/STRDualQuery.html b/previews/PR259/source/utils/STRDualQuery.html index f5c455df8..0e4ee6897 100644 --- a/previews/PR259/source/utils/STRDualQuery.html +++ b/previews/PR259/source/utils/STRDualQuery.html @@ -9,11 +9,11 @@ - + - + - + @@ -38,8 +38,6 @@ import GeoInterface as GI "helper function to get the extent of any STR node, since leaf nodes don't store global extent." -node_extent(node::STRNode) = node.extent -node_extent(node::STRLeafNode) = reduce(Extents.union, node.extents) """ maybe_overlapping_geoms_and_query_lists_in_order(tree_a::STRtree, tree_b::STRtree, edges_a::Vector{<: GI.Line}, edges_b::Vector{<: GI.Line}) @@ -80,7 +78,7 @@ node_b::Union{STRNode,STRLeafNode}, edges_a::Vector{<: GI.Line}, edges_b::Vector{<: GI.Line} -)

Early exit if bounding boxes don't overlap

julia
    if !Extents.intersects(node_extent(node_a), node_extent(node_b))
+)

Early exit if bounding boxes don't overlap

julia
    if !Extents.intersects(GI.extent(node_a), GI.extent(node_b))
         return
     end

Case 1: Both nodes are leaves

julia
    if node_a isa STRLeafNode && node_b isa STRLeafNode
         for idx_a in node_a.indices
@@ -181,7 +179,7 @@
     result3 = maybe_overlapping_geoms_and_query_lists_in_order(empty_tree, empty_tree)
     @test isempty(result3)
 end

end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/source/utils/utils.html b/previews/PR259/source/utils/utils.html index 585646bc1..33a9cb5ab 100644 --- a/previews/PR259/source/utils/utils.html +++ b/previews/PR259/source/utils/utils.html @@ -9,9 +9,9 @@ - + - + @@ -185,7 +185,7 @@ e = GI.extent(l) return GI.Line(l.geom; extent=e) end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR259/tutorials/creating_geometry.html b/previews/PR259/tutorials/creating_geometry.html index d19e0ab03..324958bda 100644 --- a/previews/PR259/tutorials/creating_geometry.html +++ b/previews/PR259/tutorials/creating_geometry.html @@ -9,11 +9,11 @@ - + - + - + @@ -31,37 +31,37 @@ 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)
Point{false, false}((0, 0))

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)
Point{false, false}((0, 0))

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}([Point((20.0, 0.0)), … (627) … , Point((20.001115954499138, -1.4219350464667047e-5))])

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

julia
polygon1 = GI.Polygon([ring1]);
GeoInterface.Wrappers.Polygon{false, false}([GeoInterface.Wrappers.LinearRing([Point((20.0, 0.0)), … (627) … , Point((20.001115954499138, -1.4219350464667047e-5))])])

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}([Point((20.0, 0.0)), … (627) … , Point((20.001115954499138, -1.4219350464667047e-5))])

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

julia
polygon1 = GI.Polygon([ring1]);
GeoInterface.Wrappers.Polygon{false, false}([GeoInterface.Wrappers.LinearRing([Point((20.0, 0.0)), … (627) … , Point((20.001115954499138, -1.4219350464667047e-5))])])

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}([GeoInterface.Wrappers.LinearRing([Point((20.0, 0.0)), … (627) … , Point((20.001115954499138, -1.4219350464667047e-5))]), GeoInterface.Wrappers.LinearRing([Point((-5, -5)), … (2) … , Point((5, -5))])])

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)));
@@ -71,7 +71,7 @@
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 multipolygon = GO.transform(f, multipolygon);
 plot!(multipolygon)
-fig

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

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

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

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

julia
source_crs1 = GFT.EPSG(4326)
EPSG: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/Sd1xa/assets/ne_110m_land.geojson"

Note

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

Read the land MultiPolygons as a GeoJSON.FeatureCollection.

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

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

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

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

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

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

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

julia
source_crs1 = GFT.EPSG(4326)
EPSG: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/Sd1xa/assets/ne_110m_land.geojson"

Note

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

Read the land MultiPolygons as a GeoJSON.FeatureCollection.

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

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

julia
fig = Figure(size=(1000, 500));
 ga = GeoAxis(
     fig[1, 1];
     source = source_crs1,
@@ -79,8 +79,8 @@
     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)
EPSG: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)
EPSG: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}:
@@ -90,7 +90,7 @@
  ⋮
  5.0e6
  5.0e6

Now create a LinearRing from Points

julia
ring3 = GI.LinearRing(Point.(zip(x, y)))
GeoInterface.Wrappers.LinearRing{false, false}([[1.5e6, 5.0e6], … (627) … , [1.499984780817334e6, 4.999999967681458e6]])

Now create a Polygon from the LineRing

julia
polygon3 = GI.Polygon([ring3])
GeoInterface.Wrappers.Polygon{false, false}([GeoInterface.Wrappers.LinearRing([[1.5e6, 5.0e6], … (627) … , [1.499984780817334e6, 4.999999967681458e6]])])

Now plot on the existing GeoAxis.

Note

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

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

Create geospatial geometries with embedded coordinate reference system information ​

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

Let's do this for a new Polygon

julia
r = 3;
+fig

Create geospatial geometries with embedded coordinate reference system information ​

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

Let's do this for a new Polygon

julia
r = 3;
 k = 7;
 ϴ = 0:0.01:2pi;
 x = r .* (k + 1) .* cos.(ϴ) .- r .* cos.((k + 1) .* ϴ);
@@ -110,7 +110,7 @@
 GeoParquet.write(fn, df, (:geometry,))
"shapes.parquet"

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

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

And there we go, you can now create mapped geometries from scratch, manipulate them, plot them on a map, and save them in multiple geospatial data formats.

- + \ No newline at end of file diff --git a/previews/PR259/tutorials/geodesic_paths.html b/previews/PR259/tutorials/geodesic_paths.html index 80895222b..a6b8ee94a 100644 --- a/previews/PR259/tutorials/geodesic_paths.html +++ b/previews/PR259/tutorials/geodesic_paths.html @@ -9,11 +9,11 @@ - + - + - + @@ -31,8 +31,8 @@ fig, ga, _cp = lines(GeoMakie.coastlines(); axis = (; type = GeoAxis)) lines!(ga, GO.segmentize(GO.GeodesicSegments(; max_distance = 100_000), GI.LineString([IAH, AMS])); color = Makie.wong_colors()[2]) -fig

- +fig

+ \ No newline at end of file diff --git a/previews/PR259/tutorials/spatial_joins.html b/previews/PR259/tutorials/spatial_joins.html index 5b7ba1c50..eb3f60074 100644 --- a/previews/PR259/tutorials/spatial_joins.html +++ b/previews/PR259/tutorials/spatial_joins.html @@ -9,11 +9,11 @@ - + - + - + @@ -41,14 +41,14 @@ 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
@@ -73,7 +73,7 @@
     ::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