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- + \ No newline at end of file diff --git a/dev/api.html b/dev/api.html index 4f91d04af..7cb517ec9 100644 --- a/dev/api.html +++ b/dev/api.html @@ -8,17 +8,17 @@ - + - - - + + + -
GeometryOps.jl

Appearance

Full GeometryOps API documentation ​

Warning

This page is still very much WIP!

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

apply and associated functions ​

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

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

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

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

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

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

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

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

Example

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

julia
import GeoInterface as GI
+    
GeometryOps.jl
Appearance
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
# GeometryOps.apply — Function. 
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
@@ -27,7 +27,7 @@
     (GI.y(p), GI.x(p))
 end
source

# GeometryOps.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 referece system, as a GeoFormatTypes.jl object or a string.
  • target_crs: the target coordinate referece 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 retreivable 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
 
@@ -40,7 +40,7 @@
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Linea
 rRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}(StaticArraysCo
 re.SVector{2, Float64}[[4.5, 3.5], [6.5, 5.5], [8.5, 7.5], [4.5, 3.5]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}(StaticA
-rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing)
With Rotations.jl you need to actuall multiply the Rotation by the SVector point, which is easy using an anonymous function.
julia
julia> using Rotations
+rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing)
With Rotations.jl you need to actually multiply the Rotation by the SVector point, which is easy using an anonymous function.
julia
julia> using Rotations
 
 julia> GO.transform(p -> one(RotMatrix{2}) * p, geom)
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
@@ -89,7 +89,7 @@
 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 colinear 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(
@@ -104,7 +104,7 @@
 )::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 geometies 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)])
@@ -127,13 +127,13 @@
 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.
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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.
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julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
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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 defintion.
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 defintion, 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 defintion, 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.
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julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
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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.
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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.
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julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
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# 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.
@@ -141,7 +141,7 @@
 - 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 slighly 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
@@ -150,11 +150,11 @@
 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 polygin is a vector of vectors of angles formed by each ring.
+- 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.
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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.
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# 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.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.
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# 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 uneccesary 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.
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# 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 (colinear 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.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 uneccesary 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.TraitTarget — Type. 
julia
TraitTarget{T}
This struct holds a trait parameter or a union of trait parameters.
It is primarily used for dispatch into methods which select trait levels, like apply, or as a parameter to target.
Constructors
julia
TraitTarget(GI.PointTrait())
+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.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.TraitTarget — Type. 
julia
TraitTarget{T}
This struct holds a trait parameter or a union of trait parameters.
It is primarily used for dispatch into methods which select trait levels, like apply, or as a parameter to target.
Constructors
julia
TraitTarget(GI.PointTrait())
 TraitTarget(GI.LineStringTrait(), GI.LinearRingTrait()) # and other traits as you may like
 TraitTarget(TraitTarget(...))
 # There are also type based constructors available, but that's not advised.
@@ -162,10 +162,10 @@
 TraitTarget(Union{GI.LineStringTrait, GI.LinearRingTrait})
 # etc.
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 uneccesary 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 polygin is a vector of vectors of angles formed by each ring.
+- 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.apply — Method. 
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
@@ -237,13 +237,13 @@
 )::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 defintion, 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 defintion, 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 defintion.
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.flatten — Method. 
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
+)::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.flatten — Method. 
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
 flatten(f, target::Type{<:GI.AbstractTrait}, obj)
Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.
If f is passed in it will be applied to the target geometries.
source

# GeometryOps.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.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)])
@@ -295,7 +295,7 @@
 
 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 colinear 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(
@@ -323,14 +323,14 @@
 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.rebuild — Method. 
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

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

# GeometryOps.segmentize — Method. 
julia
segmentize([method = LinearSegments()], 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::SegmentizeMethod = LinearSegments(): The method to use for segmentizing the geometry. At the moment, only LinearSegments and GeodesicSegments are available.
  • geom: The geometry to segmentize. Must be a LineString, LinearRing, or greater in complexity.
  • max_distance::Real: The maximum distance, in the input space, between vertices in the geometry. Only used if you don't explicitly pass a method.
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 slighly differently for different geometries:
- The signed area of a point is always zero.
+multipolygon = polygonize(>(0.5), A);
source

# GeometryOps.rebuild — Method. 
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

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

# GeometryOps.segmentize — Method. 
julia
segmentize([method = LinearSegments()], 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::SegmentizeMethod = LinearSegments(): The method to use for segmentizing the geometry. At the moment, only LinearSegments and GeodesicSegments are available.
  • geom: The geometry to segmentize. Must be a LineString, LinearRing, or greater in complexity.
  • max_distance::Real: The maximum distance, in the input space, between vertices in the geometry. Only used if you don't explicitly pass a method.
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...)
-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 decreaseing 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
+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
 
 poly = GI.Polygon([[
@@ -372,7 +372,7 @@
 
 
 ```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 geometies interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+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)])
@@ -392,7 +392,7 @@
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Linea
 rRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}(StaticArraysCo
 re.SVector{2, Float64}[[4.5, 3.5], [6.5, 5.5], [8.5, 7.5], [4.5, 3.5]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}(StaticA
-rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing)
With Rotations.jl you need to actuall multiply the Rotation by the SVector point, which is easy using an anonymous function.
julia
julia> using Rotations
+rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing)
With Rotations.jl you need to actually multiply the Rotation by the SVector point, which is easy using an anonymous function.
julia
julia> using Rotations
 
 julia> GO.transform(p -> one(RotMatrix{2}) * p, geom)
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
@@ -416,7 +416,7 @@
 
 # output
 true
source

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

-    
+    
     
   
 
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diff --git a/dev/assets/kvzfeag.Cx40vhB3.png b/dev/assets/anpauvw.Cx40vhB3.png
similarity index 100%
rename from dev/assets/kvzfeag.Cx40vhB3.png
rename to dev/assets/anpauvw.Cx40vhB3.png
diff --git a/dev/assets/api.md.BaSIMxyj.js b/dev/assets/api.md.D8vRTXzc.js
similarity index 88%
rename from dev/assets/api.md.BaSIMxyj.js
rename to dev/assets/api.md.D8vRTXzc.js
index 168620a59..956d3c2bf 100644
--- a/dev/assets/api.md.BaSIMxyj.js
+++ b/dev/assets/api.md.D8vRTXzc.js
@@ -1,4 +1,4 @@
-import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js";const S=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h=i(`
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
# GeometryOps.apply — Function. 
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
+import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.CpnCegiD.js";const S=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h=i(`
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
# GeometryOps.apply — Function. 
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
@@ -7,7 +7,7 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
     (GI.y(p), GI.x(p))
 end
source

# GeometryOps.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 referece system, as a GeoFormatTypes.jl object or a string.
  • target_crs: the target coordinate referece 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 retreivable 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
 
@@ -20,7 +20,7 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Linea
 rRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}(StaticArraysCo
 re.SVector{2, Float64}[[4.5, 3.5], [6.5, 5.5], [8.5, 7.5], [4.5, 3.5]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}(StaticA
-rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing)
With Rotations.jl you need to actuall multiply the Rotation by the SVector point, which is easy using an anonymous function.
julia
julia> using Rotations
+rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing)
With Rotations.jl you need to actually multiply the Rotation by the SVector point, which is easy using an anonymous function.
julia
julia> using Rotations
 
 julia> GO.transform(p -> one(RotMatrix{2}) * p, geom)
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
@@ -69,7 +69,7 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 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 colinear 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(
@@ -84,7 +84,7 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 )::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 geometies 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)])
@@ -107,13 +107,13 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 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 defintion.
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 defintion, 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 defintion, 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.
@@ -121,7 +121,7 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 - 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 slighly 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
@@ -130,11 +130,11 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 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 polygin is a vector of vectors of angles formed by each ring.
+- 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.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 uneccesary 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 (colinear 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.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 uneccesary 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.TraitTarget — Type. 
julia
TraitTarget{T}
This struct holds a trait parameter or a union of trait parameters.
It is primarily used for dispatch into methods which select trait levels, like apply, or as a parameter to target.
Constructors
julia
TraitTarget(GI.PointTrait())
+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.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.TraitTarget — Type. 
julia
TraitTarget{T}
This struct holds a trait parameter or a union of trait parameters.
It is primarily used for dispatch into methods which select trait levels, like apply, or as a parameter to target.
Constructors
julia
TraitTarget(GI.PointTrait())
 TraitTarget(GI.LineStringTrait(), GI.LinearRingTrait()) # and other traits as you may like
 TraitTarget(TraitTarget(...))
 # There are also type based constructors available, but that's not advised.
@@ -142,10 +142,10 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 TraitTarget(Union{GI.LineStringTrait, GI.LinearRingTrait})
 # etc.
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 uneccesary 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 polygin is a vector of vectors of angles formed by each ring.
+- 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.apply — Method. 
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
@@ -217,13 +217,13 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 )::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 defintion, 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 defintion, 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 defintion.
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.flatten — Method. 
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
+)::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.flatten — Method. 
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
 flatten(f, target::Type{<:GI.AbstractTrait}, obj)
Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.
If f is passed in it will be applied to the target geometries.
source

# GeometryOps.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.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)])
@@ -275,7 +275,7 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 
 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 colinear 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(
@@ -303,14 +303,14 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 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.rebuild — Method. 
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

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

# GeometryOps.segmentize — Method. 
julia
segmentize([method = LinearSegments()], 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::SegmentizeMethod = LinearSegments(): The method to use for segmentizing the geometry. At the moment, only LinearSegments and GeodesicSegments are available.
  • geom: The geometry to segmentize. Must be a LineString, LinearRing, or greater in complexity.
  • max_distance::Real: The maximum distance, in the input space, between vertices in the geometry. Only used if you don't explicitly pass a method.
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 slighly differently for different geometries:
- The signed area of a point is always zero.
+multipolygon = polygonize(>(0.5), A);
source

# GeometryOps.rebuild — Method. 
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

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

# GeometryOps.segmentize — Method. 
julia
segmentize([method = LinearSegments()], 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::SegmentizeMethod = LinearSegments(): The method to use for segmentizing the geometry. At the moment, only LinearSegments and GeodesicSegments are available.
  • geom: The geometry to segmentize. Must be a LineString, LinearRing, or greater in complexity.
  • max_distance::Real: The maximum distance, in the input space, between vertices in the geometry. Only used if you don't explicitly pass a method.
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...)
-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 decreaseing 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
+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
 
 poly = GI.Polygon([[
@@ -352,7 +352,7 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 
 
 \`\`\`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),x=i(`
# 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 geometies interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+to_edges()
Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.
source
`,3),x=i(`
# 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)])
@@ -372,7 +372,7 @@ import{_ as n,c as e,j as s,a,a7 as i,o as t}from"./chunks/framework.B24clL9_.js
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Linea
 rRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}(StaticArraysCo
 re.SVector{2, Float64}[[4.5, 3.5], [6.5, 5.5], [8.5, 7.5], [4.5, 3.5]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, Nothing}(StaticA
-rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing)
With Rotations.jl you need to actuall multiply the Rotation by the SVector point, which is easy using an anonymous function.
julia
julia> using Rotations
+rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing)
With Rotations.jl you need to actually multiply the Rotation by the SVector point, which is easy using an anonymous function.
julia
julia> using Rotations
 
 julia> GO.transform(p -> one(RotMatrix{2}) * p, geom)
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
diff --git a/dev/assets/api.md.BaSIMxyj.lean.js b/dev/assets/api.md.D8vRTXzc.lean.js
similarity index 98%
rename from dev/assets/api.md.BaSIMxyj.lean.js
rename to dev/assets/api.md.D8vRTXzc.lean.js
index 50a41e00a..294979af1 100644
--- a/dev/assets/api.md.BaSIMxyj.lean.js
+++ b/dev/assets/api.md.D8vRTXzc.lean.js
@@ -1 +1 @@
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index 5d31c9532..baff19b14 100644
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diff --git a/dev/assets/wpfwfat.B9NpLJr_.png b/dev/assets/bvuwypa.B9NpLJr_.png
similarity index 100%
rename from dev/assets/wpfwfat.B9NpLJr_.png
rename to dev/assets/bvuwypa.B9NpLJr_.png
diff --git a/dev/assets/call_notes.md.C_fGYeG6.js b/dev/assets/call_notes.md.Sm3Jf0W7.js
similarity index 96%
rename from dev/assets/call_notes.md.C_fGYeG6.js
rename to dev/assets/call_notes.md.Sm3Jf0W7.js
index 31dde17b0..ac7cf8fb8 100644
--- a/dev/assets/call_notes.md.C_fGYeG6.js
+++ b/dev/assets/call_notes.md.Sm3Jf0W7.js
@@ -1 +1 @@
-import{_ as e,c as i,o as l,a7 as t}from"./chunks/framework.B24clL9_.js";const m=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"call_notes.md","filePath":"call_notes.md","lastUpdated":null}'),o={name:"call_notes.md"},a=t('
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections
',8),n=[a];function r(s,p,c,d,h,u){return l(),i("div",null,n)}const g=e(o,[["render",r]]);export{m as __pageData,g as default};
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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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 * focus-trap 7.5.4
 * @license MIT, https://github.com/focus-trap/focus-trap/blob/master/LICENSE
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--- /dev/null
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diff --git a/dev/assets/chunks/theme.CA8W1fhX.js b/dev/assets/chunks/theme.DpIXNgls.js
similarity index 99%
rename from dev/assets/chunks/theme.CA8W1fhX.js
rename to dev/assets/chunks/theme.DpIXNgls.js
index 04fda60d4..c90dfa8c3 100644
--- a/dev/assets/chunks/theme.CA8W1fhX.js
+++ b/dev/assets/chunks/theme.DpIXNgls.js
@@ -1,2 +1,2 @@
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diff --git a/dev/assets/zhfsxlq.Dig-DWOQ.png b/dev/assets/cifeaqx.Dig-DWOQ.png
similarity index 100%
rename from dev/assets/zhfsxlq.Dig-DWOQ.png
rename to dev/assets/cifeaqx.Dig-DWOQ.png
diff --git a/dev/assets/olvcwxh._0R9BbFk.png b/dev/assets/dgfelxe._0R9BbFk.png
similarity index 100%
rename from dev/assets/olvcwxh._0R9BbFk.png
rename to dev/assets/dgfelxe._0R9BbFk.png
diff --git a/dev/assets/jxbxcun.DC3TvBOO.png b/dev/assets/doyulqn.DC3TvBOO.png
similarity index 100%
rename from dev/assets/jxbxcun.DC3TvBOO.png
rename to dev/assets/doyulqn.DC3TvBOO.png
diff --git a/dev/assets/krsfyzm.DuBHk1fh.png b/dev/assets/dyqtlpa.DuBHk1fh.png
similarity index 100%
rename from dev/assets/krsfyzm.DuBHk1fh.png
rename to dev/assets/dyqtlpa.DuBHk1fh.png
diff --git a/dev/assets/experiments_accurate_accumulators.md.BPqWh7OV.js b/dev/assets/experiments_accurate_accumulators.md.CqEFN_MH.js
similarity index 98%
rename from dev/assets/experiments_accurate_accumulators.md.BPqWh7OV.js
rename to dev/assets/experiments_accurate_accumulators.md.CqEFN_MH.js
index af0a88eb7..ac7e8c6a4 100644
--- a/dev/assets/experiments_accurate_accumulators.md.BPqWh7OV.js
+++ b/dev/assets/experiments_accurate_accumulators.md.CqEFN_MH.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t(`
Accurate accumulation ​
Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.
We will use the accurate sum routines from AccurateArithmetic.jl to show the difference!
julia
import GeometryOps as GO, GeoInterface as GI
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t(`
Accurate accumulation ​
Accurate arithmetic is a technique which allows you to calculate using more precision than the provided numeric type.
We will use the accurate sum routines from AccurateArithmetic.jl to show the difference!
julia
import GeometryOps as GO, GeoInterface as GI
 using GeoJSON
 using AccurateArithmetic
 using NaturalEarth
diff --git a/dev/assets/experiments_accurate_accumulators.md.BPqWh7OV.lean.js b/dev/assets/experiments_accurate_accumulators.md.CqEFN_MH.lean.js
similarity index 73%
rename from dev/assets/experiments_accurate_accumulators.md.BPqWh7OV.lean.js
rename to dev/assets/experiments_accurate_accumulators.md.CqEFN_MH.lean.js
index 9ca67e2aa..7354444f4 100644
--- a/dev/assets/experiments_accurate_accumulators.md.BPqWh7OV.lean.js
+++ b/dev/assets/experiments_accurate_accumulators.md.CqEFN_MH.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t("",16),l=[n];function h(p,k,d,r,c,g){return a(),i("div",null,l)}const u=s(e,[["render",h]]);export{o as __pageData,u as default};
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Accurate accumulation","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/accurate_accumulators.md","filePath":"experiments/accurate_accumulators.md","lastUpdated":null}'),e={name:"experiments/accurate_accumulators.md"},n=t("",16),l=[n];function h(p,k,d,r,c,g){return a(),i("div",null,l)}const u=s(e,[["render",h]]);export{o as __pageData,u as default};
diff --git a/dev/assets/experiments_predicates.md.Bv_nbSH7.js b/dev/assets/experiments_predicates.md.DS4MeDQL.js
similarity index 99%
rename from dev/assets/experiments_predicates.md.Bv_nbSH7.js
rename to dev/assets/experiments_predicates.md.DS4MeDQL.js
index f72c2886c..932ab18fe 100644
--- a/dev/assets/experiments_predicates.md.Bv_nbSH7.js
+++ b/dev/assets/experiments_predicates.md.DS4MeDQL.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as h}from"./chunks/framework.B24clL9_.js";const k="/GeometryOps.jl/dev/assets/aawycxi.0nxlbsqv.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h(`
Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
+import{_ as s,c as i,o as a,a7 as h}from"./chunks/framework.CpnCegiD.js";const k="/GeometryOps.jl/dev/assets/oglzmiy.BGGXnzMt.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h(`
Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
diff --git a/dev/assets/experiments_predicates.md.Bv_nbSH7.lean.js b/dev/assets/experiments_predicates.md.DS4MeDQL.lean.js
similarity index 73%
rename from dev/assets/experiments_predicates.md.Bv_nbSH7.lean.js
rename to dev/assets/experiments_predicates.md.DS4MeDQL.lean.js
index ba1ad3457..f411d33c1 100644
--- a/dev/assets/experiments_predicates.md.Bv_nbSH7.lean.js
+++ b/dev/assets/experiments_predicates.md.DS4MeDQL.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as h}from"./chunks/framework.B24clL9_.js";const k="/GeometryOps.jl/dev/assets/aawycxi.0nxlbsqv.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h("",10),l=[p];function t(E,e,r,d,g,y){return a(),i("div",null,l)}const A=s(n,[["render",t]]);export{C as __pageData,A as default};
+import{_ as s,c as i,o as a,a7 as h}from"./chunks/framework.CpnCegiD.js";const k="/GeometryOps.jl/dev/assets/oglzmiy.BGGXnzMt.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h("",10),l=[p];function t(E,e,r,d,g,y){return a(),i("div",null,l)}const A=s(n,[["render",t]]);export{C as __pageData,A as default};
diff --git a/dev/assets/explanations_crs.md.DJ9--UE-.js b/dev/assets/explanations_crs.md.D9xjcHO4.js
similarity index 83%
rename from dev/assets/explanations_crs.md.DJ9--UE-.js
rename to dev/assets/explanations_crs.md.D9xjcHO4.js
index 217c0ee4a..ae315a02f 100644
--- a/dev/assets/explanations_crs.md.DJ9--UE-.js
+++ b/dev/assets/explanations_crs.md.D9xjcHO4.js
@@ -1 +1 @@
-import{_ as e,c as t,o as a}from"./chunks/framework.B24clL9_.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
+import{_ as e,c as t,o as a}from"./chunks/framework.CpnCegiD.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
diff --git a/dev/assets/explanations_crs.md.DJ9--UE-.lean.js b/dev/assets/explanations_crs.md.D9xjcHO4.lean.js
similarity index 83%
rename from dev/assets/explanations_crs.md.DJ9--UE-.lean.js
rename to dev/assets/explanations_crs.md.D9xjcHO4.lean.js
index 217c0ee4a..ae315a02f 100644
--- a/dev/assets/explanations_crs.md.DJ9--UE-.lean.js
+++ b/dev/assets/explanations_crs.md.D9xjcHO4.lean.js
@@ -1 +1 @@
-import{_ as e,c as t,o as a}from"./chunks/framework.B24clL9_.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
+import{_ as e,c as t,o as a}from"./chunks/framework.CpnCegiD.js";const _=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),s={name:"explanations/crs.md"};function n(r,o,c,p,i,l){return a(),t("div")}const m=e(s,[["render",n]]);export{_ as __pageData,m as default};
diff --git a/dev/assets/explanations_paradigms.md.DBcWqEbw.js b/dev/assets/explanations_paradigms.md.PSNZ06gt.js
similarity index 97%
rename from dev/assets/explanations_paradigms.md.DBcWqEbw.js
rename to dev/assets/explanations_paradigms.md.PSNZ06gt.js
index 979d96ada..d116e9954 100644
--- a/dev/assets/explanations_paradigms.md.DBcWqEbw.js
+++ b/dev/assets/explanations_paradigms.md.PSNZ06gt.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o('
Paradigms ​
GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.
Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!
apply ​
The apply function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:
julia
apply(f, trait::Trait, geom)
Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.
apply will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.
apply is unlike map in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.
applyreduce ​
applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).
fix and prepare ​
The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.
In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)
',14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
+import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o('
Paradigms ​
GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.
Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!
apply ​
The apply function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:
julia
apply(f, trait::Trait, geom)
Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.
apply will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.
apply is unlike map in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.
applyreduce ​
applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).
fix and prepare ​
The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.
In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)
',14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
diff --git a/dev/assets/explanations_paradigms.md.DBcWqEbw.lean.js b/dev/assets/explanations_paradigms.md.PSNZ06gt.lean.js
similarity index 70%
rename from dev/assets/explanations_paradigms.md.DBcWqEbw.lean.js
rename to dev/assets/explanations_paradigms.md.PSNZ06gt.lean.js
index ec2456be0..96af7e45b 100644
--- a/dev/assets/explanations_paradigms.md.DBcWqEbw.lean.js
+++ b/dev/assets/explanations_paradigms.md.PSNZ06gt.lean.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o("",14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
+import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Paradigms","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/paradigms.md","filePath":"explanations/paradigms.md","lastUpdated":null}'),i={name:"explanations/paradigms.md"},s=o("",14),n=[s];function r(c,d,p,l,h,u){return t(),a("div",null,n)}const g=e(i,[["render",r]]);export{y as __pageData,g as default};
diff --git a/dev/assets/explanations_peculiarities.md.YNoUlJgY.js b/dev/assets/explanations_peculiarities.md.B6SBpZ9S.js
similarity index 96%
rename from dev/assets/explanations_peculiarities.md.YNoUlJgY.js
rename to dev/assets/explanations_peculiarities.md.B6SBpZ9S.js
index 02210a3a4..acc28d653 100644
--- a/dev/assets/explanations_peculiarities.md.YNoUlJgY.js
+++ b/dev/assets/explanations_peculiarities.md.B6SBpZ9S.js
@@ -1 +1 @@
-import{_ as e,c as o,o as t,a7 as a}from"./chunks/framework.B24clL9_.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a('
Peculiarities ​
What does apply return and why? ​
apply returns the target geometries returned by f, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching GeoInterface.trait to the originals. All non-geointerface iterables become Arrays. Tables.jl compatible tables are converted either back to the original type if a Tables.materializer is defined, and if not then returned as generic NamedTuple column tables (i.e., a NamedTuple of vectors).
It is recommended for consistency that f returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.
Why do you want me to provide a target in set operations? ​
In polygon set operations like intersection, difference, and union, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.
We use the target keyword to allow the user to control which kinds of geometry they want back. For example, setting target to PolygonTrait will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement MultiPolygonTrait or GeometryCollectionTrait targets which will return a single geometry, as LibGEOS and ArchGDAL do.
This also allows for a lot more type stability - when you ask for polygons, we won't return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.
_True and _False (or BoolsAsTypes) ​
Warning
These are internals and explicitly not public API, meaning they may change at any time!
When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like threaded and calc_extent in apply, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about
',11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
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Peculiarities ​
What does apply return and why? ​
apply returns the target geometries returned by f, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching GeoInterface.trait to the originals. All non-geointerface iterables become Arrays. Tables.jl compatible tables are converted either back to the original type if a Tables.materializer is defined, and if not then returned as generic NamedTuple column tables (i.e., a NamedTuple of vectors).
It is recommended for consistency that f returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.
Why do you want me to provide a target in set operations? ​
In polygon set operations like intersection, difference, and union, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.
We use the target keyword to allow the user to control which kinds of geometry they want back. For example, setting target to PolygonTrait will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement MultiPolygonTrait or GeometryCollectionTrait targets which will return a single geometry, as LibGEOS and ArchGDAL do.
This also allows for a lot more type stability - when you ask for polygons, we won't return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.
_True and _False (or BoolsAsTypes) ​
Warning
These are internals and explicitly not public API, meaning they may change at any time!
When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like threaded and calc_extent in apply, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about
',11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
diff --git a/dev/assets/explanations_peculiarities.md.YNoUlJgY.lean.js b/dev/assets/explanations_peculiarities.md.B6SBpZ9S.lean.js
similarity index 71%
rename from dev/assets/explanations_peculiarities.md.YNoUlJgY.lean.js
rename to dev/assets/explanations_peculiarities.md.B6SBpZ9S.lean.js
index 966b8e6e7..f73373956 100644
--- a/dev/assets/explanations_peculiarities.md.YNoUlJgY.lean.js
+++ b/dev/assets/explanations_peculiarities.md.B6SBpZ9S.lean.js
@@ -1 +1 @@
-import{_ as e,c as o,o as t,a7 as a}from"./chunks/framework.B24clL9_.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a("",11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
+import{_ as e,c as o,o as t,a7 as a}from"./chunks/framework.CpnCegiD.js";const m=JSON.parse('{"title":"Peculiarities","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/peculiarities.md","filePath":"explanations/peculiarities.md","lastUpdated":null}'),r={name:"explanations/peculiarities.md"},n=a("",11),i=[n];function s(l,c,d,p,h,u){return t(),o("div",null,i)}const g=e(r,[["render",s]]);export{m as __pageData,g as default};
diff --git a/dev/assets/explanations_winding_order.md.C9ZwbxD-.js b/dev/assets/explanations_winding_order.md.Cf8Ra8rH.js
similarity index 84%
rename from dev/assets/explanations_winding_order.md.C9ZwbxD-.js
rename to dev/assets/explanations_winding_order.md.Cf8Ra8rH.js
index 50c904f82..9d6e66d58 100644
--- a/dev/assets/explanations_winding_order.md.C9ZwbxD-.js
+++ b/dev/assets/explanations_winding_order.md.Cf8Ra8rH.js
@@ -1 +1 @@
-import{_ as e,c as n,o as t}from"./chunks/framework.B24clL9_.js";const l=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/winding_order.md","filePath":"explanations/winding_order.md","lastUpdated":null}'),a={name:"explanations/winding_order.md"};function r(o,i,d,s,c,p){return t(),n("div")}const m=e(a,[["render",r]]);export{l as __pageData,m as default};
+import{_ as e,c as n,o as t}from"./chunks/framework.CpnCegiD.js";const l=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/winding_order.md","filePath":"explanations/winding_order.md","lastUpdated":null}'),a={name:"explanations/winding_order.md"};function r(o,i,d,s,c,p){return t(),n("div")}const m=e(a,[["render",r]]);export{l as __pageData,m as default};
diff --git a/dev/assets/explanations_winding_order.md.C9ZwbxD-.lean.js b/dev/assets/explanations_winding_order.md.Cf8Ra8rH.lean.js
similarity index 84%
rename from dev/assets/explanations_winding_order.md.C9ZwbxD-.lean.js
rename to dev/assets/explanations_winding_order.md.Cf8Ra8rH.lean.js
index 50c904f82..9d6e66d58 100644
--- a/dev/assets/explanations_winding_order.md.C9ZwbxD-.lean.js
+++ b/dev/assets/explanations_winding_order.md.Cf8Ra8rH.lean.js
@@ -1 +1 @@
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similarity index 100%
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similarity index 100%
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+import{_ as e,c as t,o as a,a7 as o}from"./chunks/framework.CpnCegiD.js";const g=JSON.parse('{"title":"What is GeometryOps.jl?","description":"","frontmatter":{"layout":"home","hero":{"name":"GeometryOps.jl","text":"","tagline":"Blazing fast geometry operations in pure Julia","image":{"src":"/logo.png","alt":"GeometryOps"},"actions":[{"theme":"brand","text":"Introduction","link":"/introduction"},{"theme":"alt","text":"View on Github","link":"https://github.com/JuliaGeo/GeometryOps.jl"},{"theme":"alt","text":"API Reference","link":"/api"}]},"features":[{"icon":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","title":"Full integration with GeoInterface","details":"Use any GeoInterface.jl-compatible geometry","link":"https://juliageo.org/GeoInterface.jl/stable"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":null}'),i={name:"index.md"},n=o('
What is GeometryOps.jl? ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.
We welcome contributions, either as pull requests or discussion on issues!
How to navigate the docs ​
GeometryOps' docs are divided into three main sections: tutorials, explanations and source code.
 Documentation and examples for many functions can be found in the source code section, since we use literate programming in GeometryOps.
  • Tutorials are meant to teach the fundamental concepts behind GeometryOps, and how to perform certain operations.
  • Explanations usually contain little code, and explain in more detail how GeometryOps works.
  • Source code usually contains explanations and examples at the top of the page, followed by annotated source code from that file.
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-import{_ as e,c as t,o as a,a7 as o}from"./chunks/framework.B24clL9_.js";const g=JSON.parse('{"title":"What is GeometryOps.jl?","description":"","frontmatter":{"layout":"home","hero":{"name":"GeometryOps.jl","text":"","tagline":"Blazing fast geometry operations in pure Julia","image":{"src":"/logo.png","alt":"GeometryOps"},"actions":[{"theme":"brand","text":"Introduction","link":"/introduction"},{"theme":"alt","text":"View on Github","link":"https://github.com/JuliaGeo/GeometryOps.jl"},{"theme":"alt","text":"API Reference","link":"/api"}]},"features":[{"icon":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","title":"Full integration with GeoInterface","details":"Use any GeoInterface.jl-compatible geometry","link":"https://juliageo.org/GeoInterface.jl/stable"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":null}'),i={name:"index.md"},n=o("",2),s=[n];function r(l,c,d,h,p,m){return a(),t("div",null,s)}const f=e(i,[["render",r]]);export{g as __pageData,f as default};
+import{_ as e,c as t,o as a,a7 as o}from"./chunks/framework.CpnCegiD.js";const g=JSON.parse('{"title":"What is GeometryOps.jl?","description":"","frontmatter":{"layout":"home","hero":{"name":"GeometryOps.jl","text":"","tagline":"Blazing fast geometry operations in pure Julia","image":{"src":"/logo.png","alt":"GeometryOps"},"actions":[{"theme":"brand","text":"Introduction","link":"/introduction"},{"theme":"alt","text":"View on Github","link":"https://github.com/JuliaGeo/GeometryOps.jl"},{"theme":"alt","text":"API Reference","link":"/api"}]},"features":[{"icon":"\\"Julia","title":"Pure Julia code","details":"Fast, understandable, extensible functions","link":"/introduction"},{"icon":"","title":"Literate programming","details":"Documented source code with examples!","link":"/source/methods/clipping/cut"},{"icon":"","title":"Full integration with GeoInterface","details":"Use any GeoInterface.jl-compatible geometry","link":"https://juliageo.org/GeoInterface.jl/stable"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":null}'),i={name:"index.md"},n=o("",2),s=[n];function r(l,c,d,h,p,m){return a(),t("div",null,s)}const f=e(i,[["render",r]]);export{g as __pageData,f as default};
diff --git a/dev/assets/esclgnl.C3SxJ3x-.png b/dev/assets/ingzict.C3SxJ3x-.png
similarity index 100%
rename from dev/assets/esclgnl.C3SxJ3x-.png
rename to dev/assets/ingzict.C3SxJ3x-.png
diff --git a/dev/assets/introduction.md.Bxgq13n_.js b/dev/assets/introduction.md.C36sb0xX.js
similarity index 95%
rename from dev/assets/introduction.md.Bxgq13n_.js
rename to dev/assets/introduction.md.C36sb0xX.js
index 3196e8216..addc32a86 100644
--- a/dev/assets/introduction.md.Bxgq13n_.js
+++ b/dev/assets/introduction.md.C36sb0xX.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.B24clL9_.js";const f=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),i={name:"introduction.md"},r=o('
Introduction ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.
We welcome contributions, either as pull requests or discussion on issues!
Main concepts ​
The apply paradigm ​
Note
See the Primitive Functions page for more information on this.
The apply function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.
Functionally, it's similar to map in the way you apply it to geometries.
apply and applyreduce take any geometry, vector of geometries, collection of geometries, or table (like Shapefile.Table, DataFrame, or GeoTable)!
What's this GeoInterface.Wrapper thing? ​
Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.
',13),n=[r];function c(s,p,l,d,h,m){return t(),a("div",null,n)}const g=e(i,[["render",c]]);export{f as __pageData,g as default};
+import{_ as e,c as a,o as t,a7 as o}from"./chunks/framework.CpnCegiD.js";const f=JSON.parse('{"title":"Introduction","description":"","frontmatter":{},"headers":[],"relativePath":"introduction.md","filePath":"introduction.md","lastUpdated":null}'),i={name:"introduction.md"},r=o('
Introduction ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.
We welcome contributions, either as pull requests or discussion on issues!
Main concepts ​
The apply paradigm ​
Note
See the Primitive Functions page for more information on this.
The apply function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.
Functionally, it's similar to map in the way you apply it to geometries.
apply and applyreduce take any geometry, vector of geometries, collection of geometries, or table (like Shapefile.Table, DataFrame, or GeoTable)!
What's this GeoInterface.Wrapper thing? ​
Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.
',13),n=[r];function c(s,p,l,d,h,m){return t(),a("div",null,n)}const g=e(i,[["render",c]]);export{f as __pageData,g as default};
diff --git a/dev/assets/introduction.md.Bxgq13n_.lean.js b/dev/assets/introduction.md.C36sb0xX.lean.js
similarity index 68%
rename from dev/assets/introduction.md.Bxgq13n_.lean.js
rename to dev/assets/introduction.md.C36sb0xX.lean.js
index f5c5f8fb2..e704dc269 100644
--- a/dev/assets/introduction.md.Bxgq13n_.lean.js
+++ b/dev/assets/introduction.md.C36sb0xX.lean.js
@@ -1 +1 @@
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G@!tRGeometryOps.jl ​
julia
module GeometryOps
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n(`
GeometryOps.jl ​
julia
module GeometryOps
 
 using GeoInterface
 using GeometryBasics
diff --git a/dev/assets/source_GeometryOps.md.CEBUZDYK.lean.js b/dev/assets/source_GeometryOps.md.lnbjBCgq.lean.js
similarity index 70%
rename from dev/assets/source_GeometryOps.md.CEBUZDYK.lean.js
rename to dev/assets/source_GeometryOps.md.lnbjBCgq.lean.js
index 25fb44b16..3607dbb39 100644
--- a/dev/assets/source_GeometryOps.md.CEBUZDYK.lean.js
+++ b/dev/assets/source_GeometryOps.md.lnbjBCgq.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n("",8),t=[h];function k(p,e,E,r,d,g){return a(),i("div",null,t)}const F=s(l,[["render",k]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"GeometryOps.jl","description":"","frontmatter":{},"headers":[],"relativePath":"source/GeometryOps.md","filePath":"source/GeometryOps.md","lastUpdated":null}'),l={name:"source/GeometryOps.md"},h=n("",8),t=[h];function k(p,e,E,r,d,g){return a(),i("div",null,t)}const F=s(l,[["render",k]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_methods_angles.md.Co3OX7YF.js b/dev/assets/source_methods_angles.md.D6z_FLba.js
similarity index 99%
rename from dev/assets/source_methods_angles.md.Co3OX7YF.js
rename to dev/assets/source_methods_angles.md.D6z_FLba.js
index 012e4c3b4..474b384e8 100644
--- a/dev/assets/source_methods_angles.md.Co3OX7YF.js
+++ b/dev/assets/source_methods_angles.md.D6z_FLba.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/zhfsxlq.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n(`
Angles ​
julia
export angles
What is angles? ​
Angles are the angles formed by a given geometries line segments, if it has line segments.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/cifeaqx.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n(`
Angles ​
julia
export angles
What is angles? ​
Angles are the angles formed by a given geometries line segments, if it has line segments.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie, CairoMakie
 
@@ -18,7 +18,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
     - 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 polygin is a vector of vectors of angles formed by each ring.
+    - 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.
 
@@ -59,7 +59,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 end
 
 #= The angles of a polygon is a vector of polygon angles. Note that if there are holes
-within the polyogn, the angles will be listed after the exterior ring angles in order of the
+within the polygon, the angles will be listed after the exterior ring angles in order of the
 holes. All angles, including the hole angles, are interior angles of the polygon.=#
 function _angles(::Type{T}, ::GI.PolygonTrait, geom) where T
     angles = _angles(T, GI.LinearRingTrait(), GI.getexterior(geom); interior = true)
diff --git a/dev/assets/source_methods_angles.md.Co3OX7YF.lean.js b/dev/assets/source_methods_angles.md.D6z_FLba.lean.js
similarity index 73%
rename from dev/assets/source_methods_angles.md.Co3OX7YF.lean.js
rename to dev/assets/source_methods_angles.md.D6z_FLba.lean.js
index 4f571d4f6..318fe3c0e 100644
--- a/dev/assets/source_methods_angles.md.Co3OX7YF.lean.js
+++ b/dev/assets/source_methods_angles.md.D6z_FLba.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/zhfsxlq.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n("",27),t=[k];function p(e,r,E,g,d,y){return a(),i("div",null,t)}const c=s(l,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/cifeaqx.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n("",27),t=[k];function p(e,r,E,g,d,y){return a(),i("div",null,t)}const c=s(l,[["render",p]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_methods_area.md.CyNnYHMW.js b/dev/assets/source_methods_area.md.BVvuCOln.js
similarity index 92%
rename from dev/assets/source_methods_area.md.CyNnYHMW.js
rename to dev/assets/source_methods_area.md.BVvuCOln.js
index 97c3e151c..8f6320aa4 100644
--- a/dev/assets/source_methods_area.md.CyNnYHMW.js
+++ b/dev/assets/source_methods_area.md.BVvuCOln.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/zhfsxlq.Dig-DWOQ.png",t="/GeometryOps.jl/dev/assets/lqjajgs.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n(`
Area and signed area ​
julia
export area, signed_area
What is area? What is signed area? ​
Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/cifeaqx.Dig-DWOQ.png",t="/GeometryOps.jl/dev/assets/cdpcpju.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n(`
Area and signed area ​
julia
export area, signed_area
What is area? What is signed area? ​
Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -7,7 +7,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))
This is clearly a rectangle, etc. But now let's look at how the points look:
julia
lines!(
     collect(GI.getpoint(rect));
     color = 1:GI.npoint(rect), linewidth = 10.0)
-f
The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a postive area.
julia
GO.signed_area(rect)  # -1.0
-1.0
Implementation ​
This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that area and signed area are zero for all points and curves, even if the curves are closed like with a linear ring. Also note that signed area really only makes sense for polygons, given with a multipolygon can have several polygons each with a different orientation and thus the absolute value of the signed area might not be the area. This is why signed area is only implemented for polygons.
Targets for applys functions
julia
const _AREA_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
+f
The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a 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
@@ -35,7 +35,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
     signed_area(geom, [T = Float64])::T
 
 Returns the signed area of a single geometry, based on winding order.
-This is computed slighly differently for different geometries:
+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.
diff --git a/dev/assets/source_methods_area.md.CyNnYHMW.lean.js b/dev/assets/source_methods_area.md.BVvuCOln.lean.js
similarity index 64%
rename from dev/assets/source_methods_area.md.CyNnYHMW.lean.js
rename to dev/assets/source_methods_area.md.BVvuCOln.lean.js
index 9a2dbc274..aa689e1f9 100644
--- a/dev/assets/source_methods_area.md.CyNnYHMW.lean.js
+++ b/dev/assets/source_methods_area.md.BVvuCOln.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/zhfsxlq.Dig-DWOQ.png",t="/GeometryOps.jl/dev/assets/lqjajgs.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n("",40),p=[l];function k(r,d,g,E,o,y){return a(),i("div",null,p)}const C=s(e,[["render",k]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/cifeaqx.Dig-DWOQ.png",t="/GeometryOps.jl/dev/assets/cdpcpju.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n("",40),p=[l];function k(r,d,g,E,o,y){return a(),i("div",null,p)}const C=s(e,[["render",k]]);export{c as __pageData,C as default};
diff --git a/dev/assets/source_methods_barycentric.md.9FZWAtEK.js b/dev/assets/source_methods_barycentric.md.Crjs7J0g.js
similarity index 99%
rename from dev/assets/source_methods_barycentric.md.9FZWAtEK.js
rename to dev/assets/source_methods_barycentric.md.Crjs7J0g.js
index 051ca10bd..9781f6cc5 100644
--- a/dev/assets/source_methods_barycentric.md.9FZWAtEK.js
+++ b/dev/assets/source_methods_barycentric.md.Crjs7J0g.js
@@ -1,4 +1,4 @@
-import{_ as t,c as a,j as s,a as i,a7 as h,o as n}from"./chunks/framework.B24clL9_.js";const k="/GeometryOps.jl/dev/assets/zjkexok.CZy9YIUA.png",R=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=h(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
+import{_ as t,c as a,j as s,a as i,a7 as h,o as n}from"./chunks/framework.CpnCegiD.js";const k="/GeometryOps.jl/dev/assets/bdqumbk.CZy9YIUA.png",R=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=h(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
 export MeanValue
Generalized barycentric coordinates are a generalization of barycentric coordinates, which are typically used in triangles, to arbitrary polygons.
They provide a way to express a point within a polygon as a weighted average of the polygon's vertices.
`,4),e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r=h('',1),d=[r],g=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"3")]),s("mo",{stretchy:"false"},")")])],-1),y={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},o=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),c=[o],C=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 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404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),u=[D],T=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},b={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"},Q=h('',1),_=[Q],v=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1),w=h(`
As with the triangle case, the weights sum to 1, and each is non-negative.
Example ​
This example was taken from this page of CGAL's documentation.
julia
using GeometryOps
 using GeometryOps.GeometryBasics
 using Makie
diff --git a/dev/assets/source_methods_barycentric.md.9FZWAtEK.lean.js b/dev/assets/source_methods_barycentric.md.Crjs7J0g.lean.js
similarity index 98%
rename from dev/assets/source_methods_barycentric.md.9FZWAtEK.lean.js
rename to dev/assets/source_methods_barycentric.md.Crjs7J0g.lean.js
index f99c1316e..f24c2fa79 100644
--- a/dev/assets/source_methods_barycentric.md.9FZWAtEK.lean.js
+++ b/dev/assets/source_methods_barycentric.md.Crjs7J0g.lean.js
@@ -1 +1 @@
-import{_ as t,c as a,j as s,a as i,a7 as h,o as n}from"./chunks/framework.B24clL9_.js";const k="/GeometryOps.jl/dev/assets/zjkexok.CZy9YIUA.png",R=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=h("",4),e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r=h("",1),d=[r],g=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 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1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),B={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},A={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},D=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),u=[D],T=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},b={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"},Q=h("",1),_=[Q],v=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1),w=h("",35);function f(x,V,P,M,q,N){return n(),a("div",null,[p,s("p",null,[i("In the case of a triangle, barycentric coordinates are a set of three numbers "),s("mjx-container",e,[(n(),a("svg",E,d)),g]),i(", each associated with a vertex of the triangle. Any point within the triangle can be expressed as a weighted average of the vertices, where the weights are the barycentric coordinates. The weights sum to 1, and each is non-negative.")]),s("p",null,[i("For a polygon with "),s("mjx-container",y,[(n(),a("svg",F,c)),C]),i(" vertices, generalized barycentric coordinates are a set of "),s("mjx-container",B,[(n(),a("svg",A,u)),T]),i(" numbers "),s("mjx-container",m,[(n(),a("svg",b,_)),v]),i(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates.")]),w])}const G=t(l,[["render",f]]);export{R as __pageData,G as default};
+import{_ as t,c as a,j as s,a as i,a7 as h,o as n}from"./chunks/framework.CpnCegiD.js";const k="/GeometryOps.jl/dev/assets/bdqumbk.CZy9YIUA.png",R=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),l={name:"source/methods/barycentric.md"},p=h("",4),e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r=h("",1),d=[r],g=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 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453","aria-hidden":"true"},o=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),c=[o],C=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 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336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),u=[D],T=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},b={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"},Q=h("",1),_=[Q],v=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1),w=h("",35);function f(x,V,P,M,q,N){return n(),a("div",null,[p,s("p",null,[i("In the case of a triangle, barycentric coordinates are a set of three numbers "),s("mjx-container",e,[(n(),a("svg",E,d)),g]),i(", each associated with a vertex of the triangle. Any point within the triangle can be expressed as a weighted average of the vertices, where the weights are the barycentric coordinates. The weights sum to 1, and each is non-negative.")]),s("p",null,[i("For a polygon with "),s("mjx-container",y,[(n(),a("svg",F,c)),C]),i(" vertices, generalized barycentric coordinates are a set of "),s("mjx-container",B,[(n(),a("svg",A,u)),T]),i(" numbers "),s("mjx-container",m,[(n(),a("svg",b,_)),v]),i(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates.")]),w])}const G=t(l,[["render",f]]);export{R as __pageData,G as default};
diff --git a/dev/assets/source_methods_buffer.md.DkINH657.js b/dev/assets/source_methods_buffer.md.DazqrJzE.js
similarity index 98%
rename from dev/assets/source_methods_buffer.md.DkINH657.js
rename to dev/assets/source_methods_buffer.md.DazqrJzE.js
index cf2911567..19f7f1ec5 100644
--- a/dev/assets/source_methods_buffer.md.DkINH657.js
+++ b/dev/assets/source_methods_buffer.md.DazqrJzE.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t(`
Buffer ​
Buffering a geometry means computing the region distance away from it, and returning that region as the new geometry.
As of now, we only support GEOS as the backend, meaning that LibGEOS must be loaded.
julia
function buffer(geometry, distance; kwargs...)
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t(`
Buffer ​
Buffering a geometry means computing the region distance away from it, and returning that region as the new geometry.
As of now, we only support GEOS as the backend, meaning that LibGEOS must be loaded.
julia
function buffer(geometry, distance; kwargs...)
     buffered = buffer(GEOS(; kwargs...), geometry, distance)
     return tuples(buffered)
 end
Below is an error handler similar to the others we have for e.g. segmentize, which checks if there is a method error for the geos backend.
Add an error hint for buffer if LibGEOS is not loaded!
julia
function _buffer_error_hinter(io, exc, argtypes, kwargs)
diff --git a/dev/assets/source_methods_buffer.md.DkINH657.lean.js b/dev/assets/source_methods_buffer.md.DazqrJzE.lean.js
similarity index 70%
rename from dev/assets/source_methods_buffer.md.DkINH657.lean.js
rename to dev/assets/source_methods_buffer.md.DazqrJzE.lean.js
index 675cbffd5..2683fa6b6 100644
--- a/dev/assets/source_methods_buffer.md.DkINH657.lean.js
+++ b/dev/assets/source_methods_buffer.md.DazqrJzE.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t("",9),h=[e];function k(p,l,r,d,E,o){return a(),i("div",null,h)}const c=s(n,[["render",k]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Buffer","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/buffer.md","filePath":"source/methods/buffer.md","lastUpdated":null}'),n={name:"source/methods/buffer.md"},e=t("",9),h=[e];function k(p,l,r,d,E,o){return a(),i("div",null,h)}const c=s(n,[["render",k]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_methods_centroid.md.BnJYQgzS.js b/dev/assets/source_methods_centroid.md.IR8dpgJi.js
similarity index 99%
rename from dev/assets/source_methods_centroid.md.BnJYQgzS.js
rename to dev/assets/source_methods_centroid.md.IR8dpgJi.js
index d2bc78683..05f2ee628 100644
--- a/dev/assets/source_methods_centroid.md.BnJYQgzS.js
+++ b/dev/assets/source_methods_centroid.md.IR8dpgJi.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/liicypg.BD0hVfse.png",t="/GeometryOps.jl/dev/assets/fgtllgl.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),l={name:"source/methods/centroid.md"},k=n(`
Centroid ​
julia
export centroid, centroid_and_length, centroid_and_area
What is the centroid? ​
The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.
Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge's by their 'area components'.
To provide an example, consider this concave polygon in the shape of a 'C':
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/lnugvso.BD0hVfse.png",t="/GeometryOps.jl/dev/assets/lsfurro.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),l={name:"source/methods/centroid.md"},k=n(`
Centroid ​
julia
export centroid, centroid_and_length, centroid_and_area
What is the centroid? ​
The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.
Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge's by their 'area components'.
To provide an example, consider this concave polygon in the shape of a 'C':
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -6,7 +6,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 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 availible just in case the user also needs the area or length to decrease repeat computation.
julia
"""
+f
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.
The helper functions centroid_and_length and centroid_and_area are made 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
diff --git a/dev/assets/source_methods_centroid.md.BnJYQgzS.lean.js b/dev/assets/source_methods_centroid.md.IR8dpgJi.lean.js
similarity index 64%
rename from dev/assets/source_methods_centroid.md.BnJYQgzS.lean.js
rename to dev/assets/source_methods_centroid.md.IR8dpgJi.lean.js
index 22b484744..ca5706933 100644
--- a/dev/assets/source_methods_centroid.md.BnJYQgzS.lean.js
+++ b/dev/assets/source_methods_centroid.md.IR8dpgJi.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/liicypg.BD0hVfse.png",t="/GeometryOps.jl/dev/assets/fgtllgl.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),l={name:"source/methods/centroid.md"},k=n("",57),p=[k];function e(r,E,d,g,y,o){return a(),i("div",null,p)}const C=s(l,[["render",e]]);export{F as __pageData,C as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/lnugvso.BD0hVfse.png",t="/GeometryOps.jl/dev/assets/lsfurro.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),l={name:"source/methods/centroid.md"},k=n("",57),p=[k];function e(r,E,d,g,y,o){return a(),i("div",null,p)}const C=s(l,[["render",e]]);export{F as __pageData,C as default};
diff --git a/dev/assets/source_methods_clipping_clipping_processor.md.Bcxp8BIM.js b/dev/assets/source_methods_clipping_clipping_processor.md.BWhMiGnY.js
similarity index 96%
rename from dev/assets/source_methods_clipping_clipping_processor.md.Bcxp8BIM.js
rename to dev/assets/source_methods_clipping_clipping_processor.md.BWhMiGnY.js
index a4d7b6792..c37c3976f 100644
--- a/dev/assets/source_methods_clipping_clipping_processor.md.Bcxp8BIM.js
+++ b/dev/assets/source_methods_clipping_clipping_processor.md.BWhMiGnY.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n(`
Polygon clipping helpers ​
This file contains the shared helper functions for the polygon clipping functionalities.
This enum defines which side of an edge a point is on
julia
@enum PointEdgeSide left=1 right=2 unknown=3
Constants assigned for readability
julia
const enter, exit = true, false
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n(`
Polygon clipping helpers ​
This file contains the shared helper functions for the polygon clipping functionalities.
This enum defines which side of an edge a point is on
julia
@enum PointEdgeSide left=1 right=2 unknown=3
Constants assigned for readability
julia
const enter, exit = true, false
 const crossing, bouncing = true, false
 
 #= A point can either be the start or end of an overlapping chain of points between two
@@ -32,7 +32,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
     _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)
 
     return a_list, b_list, a_idx_list
-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 indicies 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 indicies 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(::Type{T}, poly_a, poly_b; exact) where T
     n_a_edges = _nedge(poly_a)
     a_list = PolyNode{T}[]  # list of points in poly_a
     sizehint!(a_list, n_a_edges)
@@ -105,7 +105,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         a_pt1 = a_pt2
     end
     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 neightbor 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(::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)
     n_intr_pts = length(a_idx_list)
     b_list = PolyNode{T}[]
     sizehint!(b_list, n_b_edges + n_b_intrs)
@@ -392,7 +392,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
     end
     return return_polys
 end
Get type of polygons that will be made TODO: Increase type options
julia
_get_poly_type(::Type{T}) where T =
-    GI.Polygon{false, false, Vector{GI.LinearRing{false, false, Vector{Tuple{T, T}}, Nothing, Nothing}}, Nothing, Nothing}
_find_non_cross_orientation(a_list, b_list, a_poly, b_poly; exact)
For polygns with no crossing intersection points, either one polygon is inside of another, or they are seperate polygons with no intersection (other than an edge or point).
Return two booleans that represent if a is inside b (potentially with shared edges / points) and visa versa if b is inside of a.
julia
function _find_non_cross_orientation(a_list, b_list, a_poly, b_poly; exact)
+    GI.Polygon{false, false, Vector{GI.LinearRing{false, false, Vector{Tuple{T, T}}, Nothing, Nothing}}, Nothing, Nothing}
_find_non_cross_orientation(a_list, b_list, a_poly, b_poly; exact)
For polygons with no crossing intersection points, either one polygon is inside of another, or they are separate polygons with no intersection (other than an edge or point).
Return two booleans that represent if a is inside b (potentially with shared edges / points) and visa versa if b is inside of a.
julia
function _find_non_cross_orientation(a_list, b_list, a_poly, b_poly; exact)
     non_intr_a_idx = findfirst(x -> !x.inter, a_list)
     non_intr_b_idx = findfirst(x -> !x.inter, b_list)
     #= Determine if non-intersection point is in or outside of polygon - if there isn't A
@@ -419,7 +419,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
                         append!(remove_poly_idx, falses(n_new_pieces))
                         n_new_per_poly += n_new_pieces
                     end
-                    if !on_ext && !out_ext  # hole is completly within exterior
+                    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())
@@ -430,7 +430,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
                             append!(remove_poly_idx, falses(n_new_polys))
                             n_new_per_poly += n_new_polys
                         end
-                    end
polygon is completly within hole
julia
                elseif coveredby(curr_poly_ext, GI.Polygon(StaticArrays.SVector(curr_hole)))
+                    end
polygon is completely within hole
julia
                elseif coveredby(curr_poly_ext, GI.Polygon(StaticArrays.SVector(curr_hole)))
                     remove_poly_idx[j] = true
                 end
             end
@@ -438,7 +438,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         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 orignal 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!(::Type{T}, new_hole, curr_poly, return_polys, remove_hole_idx) where T
     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))
@@ -482,7 +482,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
                     p2 = p
                     continue
                 else
-                    p3 = p
check if p2 is approximatly 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
julia
                    if Predicates.orient(p1, p2, p3; exact = _False()) == 0
                         remove_idx[i - 1] = true
                     end
                 end
diff --git a/dev/assets/source_methods_clipping_clipping_processor.md.Bcxp8BIM.lean.js b/dev/assets/source_methods_clipping_clipping_processor.md.BWhMiGnY.lean.js
similarity index 75%
rename from dev/assets/source_methods_clipping_clipping_processor.md.Bcxp8BIM.lean.js
rename to dev/assets/source_methods_clipping_clipping_processor.md.BWhMiGnY.lean.js
index 9b67a3ac4..96c3cb4c3 100644
--- a/dev/assets/source_methods_clipping_clipping_processor.md.Bcxp8BIM.lean.js
+++ b/dev/assets/source_methods_clipping_clipping_processor.md.BWhMiGnY.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n("",169),p=[t];function l(k,e,E,r,d,g){return a(),i("div",null,p)}const c=s(h,[["render",l]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Polygon clipping helpers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/clipping_processor.md","filePath":"source/methods/clipping/clipping_processor.md","lastUpdated":null}'),h={name:"source/methods/clipping/clipping_processor.md"},t=n("",169),p=[t];function l(k,e,E,r,d,g){return a(),i("div",null,p)}const c=s(h,[["render",l]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_methods_clipping_coverage.md.0c_XYlaF.js b/dev/assets/source_methods_clipping_coverage.md.KxEH9c7F.js
similarity index 99%
rename from dev/assets/source_methods_clipping_coverage.md.0c_XYlaF.js
rename to dev/assets/source_methods_clipping_coverage.md.KxEH9c7F.js
index 132f512e2..9c64bf88e 100644
--- a/dev/assets/source_methods_clipping_coverage.md.0c_XYlaF.js
+++ b/dev/assets/source_methods_clipping_coverage.md.KxEH9c7F.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/qdzykgu.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n(`
julia
export coverage
What is coverage? ​
Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordiantes of that bounding box, or an Extent containing that information.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/odnjzpw.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n(`
julia
export coverage
What is coverage? ​
Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordinates of that bounding box, or an Extent containing that information.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/dev/assets/source_methods_clipping_coverage.md.0c_XYlaF.lean.js b/dev/assets/source_methods_clipping_coverage.md.KxEH9c7F.lean.js
similarity index 74%
rename from dev/assets/source_methods_clipping_coverage.md.0c_XYlaF.lean.js
rename to dev/assets/source_methods_clipping_coverage.md.KxEH9c7F.lean.js
index 11d9c9c1b..91cd627f1 100644
--- a/dev/assets/source_methods_clipping_coverage.md.0c_XYlaF.lean.js
+++ b/dev/assets/source_methods_clipping_coverage.md.KxEH9c7F.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/qdzykgu.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n("",58),p=[k];function t(e,E,r,d,g,y){return a(),i("div",null,p)}const o=s(l,[["render",t]]);export{c as __pageData,o as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/odnjzpw.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n("",58),p=[k];function t(e,E,r,d,g,y){return a(),i("div",null,p)}const o=s(l,[["render",t]]);export{c as __pageData,o as default};
diff --git a/dev/assets/source_methods_clipping_cut.md.B9hPmCjC.js b/dev/assets/source_methods_clipping_cut.md.DwfIybVD.js
similarity index 99%
rename from dev/assets/source_methods_clipping_cut.md.B9hPmCjC.js
rename to dev/assets/source_methods_clipping_cut.md.DwfIybVD.js
index 7ac7e8b94..3d14dcfce 100644
--- a/dev/assets/source_methods_clipping_cut.md.B9hPmCjC.js
+++ b/dev/assets/source_methods_clipping_cut.md.DwfIybVD.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/emzwabp.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n(`
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/fkidkll.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n(`
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
 using CairoMakie
 using Makie
 
@@ -59,7 +59,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 of cut geometry in Vector{Vector{Tuple}} format.
 
 Note: degenerate cases where intersection points are vertices do not work right now. =#
-function _cut(::Type{T}, geom, line, geom_list, intr_list, n_intr_pts; exact) where T
Sort and catagorize the intersection points
julia
    sort!(intr_list, by = x -> geom_list[x].fracs[2])
+function _cut(::Type{T}, geom, line, geom_list, intr_list, n_intr_pts; exact) where T
Sort and categorize the intersection points
julia
    sort!(intr_list, by = x -> geom_list[x].fracs[2])
     _flag_ent_exit!(GI.LineTrait(), line, geom_list; exact)
Add first point to output list
julia
    return_coords = [[geom_list[1].point]]
     cross_backs = [(T(Inf),T(Inf))]
     poly_idx = 1
diff --git a/dev/assets/source_methods_clipping_cut.md.B9hPmCjC.lean.js b/dev/assets/source_methods_clipping_cut.md.DwfIybVD.lean.js
similarity index 74%
rename from dev/assets/source_methods_clipping_cut.md.B9hPmCjC.lean.js
rename to dev/assets/source_methods_clipping_cut.md.DwfIybVD.lean.js
index 89f15dba7..877c5c3fe 100644
--- a/dev/assets/source_methods_clipping_cut.md.B9hPmCjC.lean.js
+++ b/dev/assets/source_methods_clipping_cut.md.DwfIybVD.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/emzwabp.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n("",34),p=[l];function k(e,r,E,d,g,y){return a(),i("div",null,p)}const F=s(t,[["render",k]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/fkidkll.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n("",34),p=[l];function k(e,r,E,d,g,y){return a(),i("div",null,p)}const F=s(t,[["render",k]]);export{c as __pageData,F as default};
diff --git a/dev/assets/source_methods_clipping_difference.md.OH-ojrcQ.js b/dev/assets/source_methods_clipping_difference.md.CtVeedUt.js
similarity index 98%
rename from dev/assets/source_methods_clipping_difference.md.OH-ojrcQ.js
rename to dev/assets/source_methods_clipping_difference.md.CtVeedUt.js
index 9675e7aa6..eebbe3135 100644
--- a/dev/assets/source_methods_clipping_difference.md.OH-ojrcQ.js
+++ b/dev/assets/source_methods_clipping_difference.md.CtVeedUt.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n(`
Difference Polygon Clipping ​
julia
export difference
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n(`
Difference Polygon Clipping ​
julia
export difference
 
 
 """
@@ -67,7 +67,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
                 append!(polys, new_polys)
             end
         end
-    end
Remove uneeded 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!(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
@@ -126,7 +126,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
 #= Multipolygon with multipolygon difference - note that all intersection regions between
 sub-polygons of \`multipoly_a\` and sub-polygons of \`multipoly_b\` will be removed from the
 corresponding sub-polygon of \`multipoly_a\`. Unless specified with \`fix_multipoly = nothing\`,
-\`multipolygon_a\` will be validated using the given (defauly is \`UnionIntersectingPolygons()\`)
+\`multipolygon_a\` will be validated using the given (default is \`UnionIntersectingPolygons()\`)
 correction. =#
 function _difference(
     target::TraitTarget{GI.PolygonTrait}, ::Type{T},
@@ -148,7 +148,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         else
             difference(GI.MultiPolygon(polys), poly_b; target, fix_multipoly)
         end
-        #= One multipoly_a has been completly covered (and thus removed) there is no need to
+        #= One multipoly_a has been completely covered (and thus removed) there is no need to
         continue taking the difference =#
         isempty(polys) && break
     end
diff --git a/dev/assets/source_methods_clipping_difference.md.OH-ojrcQ.lean.js b/dev/assets/source_methods_clipping_difference.md.CtVeedUt.lean.js
similarity index 73%
rename from dev/assets/source_methods_clipping_difference.md.OH-ojrcQ.lean.js
rename to dev/assets/source_methods_clipping_difference.md.CtVeedUt.lean.js
index 05e72a0c5..7dc3aed9b 100644
--- a/dev/assets/source_methods_clipping_difference.md.OH-ojrcQ.lean.js
+++ b/dev/assets/source_methods_clipping_difference.md.CtVeedUt.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n("",22),t=[p];function h(e,k,r,d,g,y){return a(),i("div",null,t)}const F=s(l,[["render",h]]);export{o as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Difference Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/difference.md","filePath":"source/methods/clipping/difference.md","lastUpdated":null}'),l={name:"source/methods/clipping/difference.md"},p=n("",22),t=[p];function h(e,k,r,d,g,y){return a(),i("div",null,t)}const F=s(l,[["render",h]]);export{o as __pageData,F as default};
diff --git a/dev/assets/source_methods_clipping_intersection.md.CxIjImlm.js b/dev/assets/source_methods_clipping_intersection.md.BFsZe1GD.js
similarity index 99%
rename from dev/assets/source_methods_clipping_intersection.md.CxIjImlm.js
rename to dev/assets/source_methods_clipping_intersection.md.BFsZe1GD.js
index b332e75be..dd6a0a419 100644
--- a/dev/assets/source_methods_clipping_intersection.md.CxIjImlm.js
+++ b/dev/assets/source_methods_clipping_intersection.md.BFsZe1GD.js
@@ -1,10 +1,10 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n(`
Geometry Intersection ​
julia
export intersection, intersection_points
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n(`
Geometry Intersection ​
julia
export intersection, intersection_points
 
 """
     Enum LineOrientation
 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\` (colinear with the curve), or \`line_out\` (not interacting with the curve).
+\`line_over\` (collinear with the curve), or \`line_out\` (not interacting with the curve).
 """
 @enum LineOrientation line_cross=1 line_hinge=2 line_over=3 line_out=4
 
@@ -72,7 +72,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
     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 uneeded 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!(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
@@ -109,7 +109,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
 end
 
 #= Multipolygon with polygon intersection is equivalent to taking the intersection of the
-poylgon with the multipolygon and thus simply switches the order of operations and calls the
+polygon with the multipolygon and thus simply switches the order of operations and calls the
 above method. =#
 _intersection(
     target::TraitTarget{GI.PolygonTrait}, ::Type{T},
@@ -172,7 +172,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
     _intersection_points(T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b)
 
 
-#= Calculates the list of intersection points between two geometries, inlcuding line
+#= 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)
@@ -327,7 +327,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
 
 #= If lines defined by (a1, a2) and (b1, b2) meet at one point that is not an endpoint of
 either segment, they form a crossing intersection with a singular intersection point. That
-point is caculated by finding the fractional distance along each segment the point occurs
+point is calculated by finding the fractional distance along each segment the point occurs
 at (α, β). If the point is too close to an endpoint to be distinct, the point shares a value
 with the endpoint, but with a non-zero and non-one fractional value. If the intersection
 point calculated is outside of the envelope of the two segments due to floating point error,
@@ -342,9 +342,9 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
     β = _clamped_frac(Δbax * Δay - Δbay * Δax, a_cross_b, eps(T))
 
     #= Intersection will be where a1 + α * Δa = b1 + β * Δb. However, due to floating point
-    innacurracies, α and β calculations may yeild different intersection points. Average
+    inaccuracies, α and β calculations may yield different intersection points. Average
     both points together to minimize difference from real value, as long as segment isn't
-    vertical or horizontal as this will almost certianly lead to the point being outside the
+    vertical or horizontal as this will almost certainly lead to the point being outside the
     envelope due to floating point error. Also note that floating point limitations could
     make intersection be endpoint if α≈0 or α≈1.=#
     x = if Δax == 0
diff --git a/dev/assets/source_methods_clipping_intersection.md.CxIjImlm.lean.js b/dev/assets/source_methods_clipping_intersection.md.BFsZe1GD.lean.js
similarity index 73%
rename from dev/assets/source_methods_clipping_intersection.md.CxIjImlm.lean.js
rename to dev/assets/source_methods_clipping_intersection.md.BFsZe1GD.lean.js
index a5aa70041..917bc94ce 100644
--- a/dev/assets/source_methods_clipping_intersection.md.CxIjImlm.lean.js
+++ b/dev/assets/source_methods_clipping_intersection.md.BFsZe1GD.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n("",80),l=[h];function p(k,e,r,E,d,g){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Geometry Intersection","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/intersection.md","filePath":"source/methods/clipping/intersection.md","lastUpdated":null}'),t={name:"source/methods/clipping/intersection.md"},h=n("",80),l=[h];function p(k,e,r,E,d,g){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_methods_clipping_predicates.md.G1r6ZHhc.js b/dev/assets/source_methods_clipping_predicates.md.DndNuKgS.js
similarity index 99%
rename from dev/assets/source_methods_clipping_predicates.md.G1r6ZHhc.js
rename to dev/assets/source_methods_clipping_predicates.md.DndNuKgS.js
index 04f6e6832..1860b8435 100644
--- a/dev/assets/source_methods_clipping_predicates.md.G1r6ZHhc.js
+++ b/dev/assets/source_methods_clipping_predicates.md.DndNuKgS.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),t={name:"source/methods/clipping/predicates.md"},h=n(`
julia
module Predicates
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),t={name:"source/methods/clipping/predicates.md"},h=n(`
julia
module Predicates
     using ExactPredicates, ExactPredicates.Codegen
     import ExactPredicates: ext
     import ExactPredicates.Codegen: group!, @genpredicate
diff --git a/dev/assets/source_methods_clipping_predicates.md.G1r6ZHhc.lean.js b/dev/assets/source_methods_clipping_predicates.md.DndNuKgS.lean.js
similarity index 75%
rename from dev/assets/source_methods_clipping_predicates.md.G1r6ZHhc.lean.js
rename to dev/assets/source_methods_clipping_predicates.md.DndNuKgS.lean.js
index 2ff7d4bd7..6d1cda4f8 100644
--- a/dev/assets/source_methods_clipping_predicates.md.G1r6ZHhc.lean.js
+++ b/dev/assets/source_methods_clipping_predicates.md.DndNuKgS.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),t={name:"source/methods/clipping/predicates.md"},h=n("",13),e=[h];function p(l,k,r,d,E,c){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{o as __pageData,y as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"If we want to inject adaptivity, we would do something like:","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/predicates.md","filePath":"source/methods/clipping/predicates.md","lastUpdated":null}'),t={name:"source/methods/clipping/predicates.md"},h=n("",13),e=[h];function p(l,k,r,d,E,c){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{o as __pageData,y as default};
diff --git a/dev/assets/source_methods_clipping_union.md.2_48PnSR.js b/dev/assets/source_methods_clipping_union.md.wPjIz2t-.js
similarity index 98%
rename from dev/assets/source_methods_clipping_union.md.2_48PnSR.js
rename to dev/assets/source_methods_clipping_union.md.wPjIz2t-.js
index 627542ab2..80456a660 100644
--- a/dev/assets/source_methods_clipping_union.md.2_48PnSR.js
+++ b/dev/assets/source_methods_clipping_union.md.wPjIz2t-.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n(`
Union Polygon Clipping ​
julia
export union
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n(`
Union Polygon Clipping ​
julia
export union
 
 """
     union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
@@ -68,7 +68,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         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 uneeded collinear points on same edge
julia
    _remove_collinear_points!(polys, [false], poly_a, poly_b)
+    end
Remove unneeded collinear points on same edge
julia
    _remove_collinear_points!(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
@@ -138,7 +138,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         in_ih, on_ih, out_ih = _line_polygon_interactions(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 completly within the ith hole - polygons aren't
+                #= interior polygon is completely within the ith hole - polygons aren't
                 touching and do not actually form a union =#
                 polys[1] = tuples(interior_poly)
                 push!(polys, tuples(exterior_poly))
@@ -209,7 +209,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
     return polys
 end
 
-#= Multipolygon with polygon union is equivalent to taking the union of the poylgon with the
+#= 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},
diff --git a/dev/assets/source_methods_clipping_union.md.2_48PnSR.lean.js b/dev/assets/source_methods_clipping_union.md.wPjIz2t-.lean.js
similarity index 72%
rename from dev/assets/source_methods_clipping_union.md.2_48PnSR.lean.js
rename to dev/assets/source_methods_clipping_union.md.wPjIz2t-.lean.js
index b7e2767a6..55b73e527 100644
--- a/dev/assets/source_methods_clipping_union.md.2_48PnSR.lean.js
+++ b/dev/assets/source_methods_clipping_union.md.wPjIz2t-.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n("",28),p=[h];function t(k,e,r,E,g,y){return a(),i("div",null,p)}const F=s(l,[["render",t]]);export{o as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Union Polygon Clipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/union.md","filePath":"source/methods/clipping/union.md","lastUpdated":null}'),l={name:"source/methods/clipping/union.md"},h=n("",28),p=[h];function t(k,e,r,E,g,y){return a(),i("div",null,p)}const F=s(l,[["render",t]]);export{o as __pageData,F as default};
diff --git a/dev/assets/source_methods_distance.md.CyM1f5P-.js b/dev/assets/source_methods_distance.md.B1hZWVIF.js
similarity index 99%
rename from dev/assets/source_methods_distance.md.CyM1f5P-.js
rename to dev/assets/source_methods_distance.md.B1hZWVIF.js
index a783a7de2..a01f76109 100644
--- a/dev/assets/source_methods_distance.md.CyM1f5P-.js
+++ b/dev/assets/source_methods_distance.md.B1hZWVIF.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/lipsvjw.DiwGEg2f.png",t="/GeometryOps.jl/dev/assets/krsfyzm.DuBHk1fh.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n(`
Distance and signed distance ​
julia
export distance, signed_distance
What is distance? What is signed distance? ​
Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all "non-filled" geometries, like curves, the distance will either be postitive or 0.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/yfkpvhd.DiwGEg2f.png",t="/GeometryOps.jl/dev/assets/dyqtlpa.DuBHk1fh.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n(`
Distance and signed distance ​
julia
export distance, signed_distance
What is distance? What is signed distance? ​
Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all "non-filled" geometries, like curves, the distance will either be positive or 0.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/dev/assets/source_methods_distance.md.CyM1f5P-.lean.js b/dev/assets/source_methods_distance.md.B1hZWVIF.lean.js
similarity index 65%
rename from dev/assets/source_methods_distance.md.CyM1f5P-.lean.js
rename to dev/assets/source_methods_distance.md.B1hZWVIF.lean.js
index 81f650a1c..ab0ddeaf4 100644
--- a/dev/assets/source_methods_distance.md.CyM1f5P-.lean.js
+++ b/dev/assets/source_methods_distance.md.B1hZWVIF.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/lipsvjw.DiwGEg2f.png",t="/GeometryOps.jl/dev/assets/krsfyzm.DuBHk1fh.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n("",54),l=[p];function e(d,E,r,g,y,F){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/yfkpvhd.DiwGEg2f.png",t="/GeometryOps.jl/dev/assets/dyqtlpa.DuBHk1fh.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n("",54),l=[p];function e(d,E,r,g,y,F){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{c as __pageData,C as default};
diff --git a/dev/assets/source_methods_equals.md.De9KY65L.js b/dev/assets/source_methods_equals.md.Ch6uNWJu.js
similarity index 98%
rename from dev/assets/source_methods_equals.md.De9KY65L.js
rename to dev/assets/source_methods_equals.md.Ch6uNWJu.js
index 44b8b9947..17723bd7a 100644
--- a/dev/assets/source_methods_equals.md.De9KY65L.js
+++ b/dev/assets/source_methods_equals.md.Ch6uNWJu.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l="/GeometryOps.jl/dev/assets/atfvmse.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n(`
Equals ​
julia
export equals
What is equals? ​
The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const l="/GeometryOps.jl/dev/assets/qmdfdhw.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n(`
Equals ​
julia
export equals
What is equals? ​
The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -9,7 +9,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l
 scatter!(GI.getpoint(l1), color = :blue)
 lines!(GI.getpoint(l2), color = :orange)
 scatter!(GI.getpoint(l2), color = :orange)
-f
We can see that the two lines do not share a commen set of points and edges in the plot, so they are not equal:
julia
GO.equals(l1, l2)  # returns false
false
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that while we need the same set of points and edges, they don't need to be provided in the same order for polygons. For for example, we need the same set points for two multipoints to be equal, but they don't have to be saved in the same order. The winding order also doesn't have to be the same to represent the same geometry. This requires checking every point against every other point in the two geometries we are comparing. Also, some geometries must be "closed" like polygons and linear rings. These will be assumed to be closed, even if they don't have a repeated last point explicity written in the coordinates. Additionally, geometries and multi-geometries can be equal if the multi-geometry only includes that single geometry.
julia
"""
+f
We can see that the two lines do not share a 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.
@@ -150,7 +150,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l
     )::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 defintion.
+along the curve. Note that lines/linestrings aren't closed by definition.
 """
 equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
@@ -164,7 +164,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l
     )::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 defintion, but
+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
 """
 equals(
@@ -179,7 +179,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l
     )::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 defintion, but
+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
 """
 equals(
@@ -262,4 +262,4 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l
         has_match || return false
     end
     return true
-end
This page was generated using Literate.jl.
`,47),p=[h];function e(k,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",e]]);export{y as __pageData,c as default};
+end
This page was generated using Literate.jl.
`,47),p=[h];function k(e,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",k]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_methods_equals.md.Ch6uNWJu.lean.js b/dev/assets/source_methods_equals.md.Ch6uNWJu.lean.js
new file mode 100644
index 000000000..fd3f81348
--- /dev/null
+++ b/dev/assets/source_methods_equals.md.Ch6uNWJu.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const l="/GeometryOps.jl/dev/assets/qmdfdhw.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n("",47),p=[h];function k(e,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",k]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_methods_equals.md.De9KY65L.lean.js b/dev/assets/source_methods_equals.md.De9KY65L.lean.js
deleted file mode 100644
index 9bdc013c7..000000000
--- a/dev/assets/source_methods_equals.md.De9KY65L.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l="/GeometryOps.jl/dev/assets/atfvmse.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n("",47),p=[h];function e(k,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",e]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_methods_geom_relations_contains.md.BBjEMOLE.js b/dev/assets/source_methods_geom_relations_contains.md.BS3Tc390.js
similarity index 91%
rename from dev/assets/source_methods_geom_relations_contains.md.BBjEMOLE.js
rename to dev/assets/source_methods_geom_relations_contains.md.BS3Tc390.js
index 1e51ba6b0..645d894d6 100644
--- a/dev/assets/source_methods_geom_relations_contains.md.BBjEMOLE.js
+++ b/dev/assets/source_methods_geom_relations_contains.md.BS3Tc390.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t="/GeometryOps.jl/dev/assets/olvcwxh._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n(`
Contains ​
julia
export contains
What is contains? ​
The contains function checks if a given geometry completly contains another geometry, or in other words, that the second geometry is completly within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const t="/GeometryOps.jl/dev/assets/dgfelxe._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n(`
Contains ​
julia
export contains
What is contains? ​
The contains function checks if a given geometry completely contains another geometry, or in other words, that the second geometry is completely within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/dev/assets/source_methods_geom_relations_contains.md.BBjEMOLE.lean.js b/dev/assets/source_methods_geom_relations_contains.md.BS3Tc390.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_contains.md.BBjEMOLE.lean.js
rename to dev/assets/source_methods_geom_relations_contains.md.BS3Tc390.lean.js
index 660b1212f..ec5cb60af 100644
--- a/dev/assets/source_methods_geom_relations_contains.md.BBjEMOLE.lean.js
+++ b/dev/assets/source_methods_geom_relations_contains.md.BS3Tc390.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t="/GeometryOps.jl/dev/assets/olvcwxh._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n("",18),l=[h];function p(k,r,o,d,g,E){return a(),i("div",null,l)}const F=s(e,[["render",p]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const t="/GeometryOps.jl/dev/assets/dgfelxe._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n("",18),l=[h];function p(k,r,o,d,g,E){return a(),i("div",null,l)}const F=s(e,[["render",p]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_methods_geom_relations_coveredby.md.DsEyTkLB.js b/dev/assets/source_methods_geom_relations_coveredby.md.CBrVFPVo.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_coveredby.md.DsEyTkLB.js
rename to dev/assets/source_methods_geom_relations_coveredby.md.CBrVFPVo.js
index 64075350d..ca913ce0a 100644
--- a/dev/assets/source_methods_geom_relations_coveredby.md.DsEyTkLB.js
+++ b/dev/assets/source_methods_geom_relations_coveredby.md.CBrVFPVo.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const e="/GeometryOps.jl/dev/assets/jxbxcun.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n(`
CoveredBy ​
julia
export coveredby
What is coveredby? ​
The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn't outside of the second geometry.
To provide an example, consider this point and line:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const e="/GeometryOps.jl/dev/assets/doyulqn.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n(`
CoveredBy ​
julia
export coveredby
What is coveredby? ​
The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn't outside of the second geometry.
To provide an example, consider this point and line:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -91,7 +91,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const e
 )
 
 #= Linestring is coveredby a polygon if all interior and boundary points of the
-line are in the polygon interior or on its edges, inlcuding hole edges. =#
+line are in the polygon interior or on its edges, including hole edges. =#
 _coveredby(
     ::Union{GI.LineTrait, GI.LineStringTrait}, g1,
     ::GI.PolygonTrait, g2,
@@ -130,7 +130,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const e
 )
 
 #= Linearring is coveredby a polygon if all vertices and edges of the ring are
-in the polygon interior or on the polygon edges, inlcuding hole edges. =#
+in the polygon interior or on the polygon edges, including hole edges. =#
 _coveredby(
     ::GI.LinearRingTrait, g1,
     ::GI.PolygonTrait, g2,
diff --git a/dev/assets/source_methods_geom_relations_coveredby.md.DsEyTkLB.lean.js b/dev/assets/source_methods_geom_relations_coveredby.md.CBrVFPVo.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_coveredby.md.DsEyTkLB.lean.js
rename to dev/assets/source_methods_geom_relations_coveredby.md.CBrVFPVo.lean.js
index f7c1810d4..2ffa6b970 100644
--- a/dev/assets/source_methods_geom_relations_coveredby.md.DsEyTkLB.lean.js
+++ b/dev/assets/source_methods_geom_relations_coveredby.md.CBrVFPVo.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const e="/GeometryOps.jl/dev/assets/jxbxcun.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n("",45),t=[h];function p(k,r,E,d,g,o){return a(),i("div",null,t)}const F=s(l,[["render",p]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const e="/GeometryOps.jl/dev/assets/doyulqn.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n("",45),t=[h];function p(k,r,E,d,g,o){return a(),i("div",null,t)}const F=s(l,[["render",p]]);export{c as __pageData,F as default};
diff --git a/dev/assets/source_methods_geom_relations_covers.md.DBGlhZWH.js b/dev/assets/source_methods_geom_relations_covers.md.CJImsgZm.js
similarity index 90%
rename from dev/assets/source_methods_geom_relations_covers.md.DBGlhZWH.js
rename to dev/assets/source_methods_geom_relations_covers.md.CJImsgZm.js
index fdfbfd0f4..a00f7e5af 100644
--- a/dev/assets/source_methods_geom_relations_covers.md.DBGlhZWH.js
+++ b/dev/assets/source_methods_geom_relations_covers.md.CJImsgZm.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const n="/GeometryOps.jl/dev/assets/jxbxcun.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e(`
Covers ​
julia
export covers
What is covers? ​
The covers function checks if a given geometry completly covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.CpnCegiD.js";const n="/GeometryOps.jl/dev/assets/doyulqn.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e(`
Covers ​
julia
export covers
What is covers? ​
The covers function checks if a given geometry completely covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/dev/assets/source_methods_geom_relations_covers.md.DBGlhZWH.lean.js b/dev/assets/source_methods_geom_relations_covers.md.CJImsgZm.lean.js
similarity index 75%
rename from dev/assets/source_methods_geom_relations_covers.md.DBGlhZWH.lean.js
rename to dev/assets/source_methods_geom_relations_covers.md.CJImsgZm.lean.js
index 22f1433db..39516a576 100644
--- a/dev/assets/source_methods_geom_relations_covers.md.DBGlhZWH.lean.js
+++ b/dev/assets/source_methods_geom_relations_covers.md.CJImsgZm.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const n="/GeometryOps.jl/dev/assets/jxbxcun.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e("",17),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const u=s(t,[["render",h]]);export{y as __pageData,u as default};
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.CpnCegiD.js";const n="/GeometryOps.jl/dev/assets/doyulqn.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e("",17),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const u=s(t,[["render",h]]);export{y as __pageData,u as default};
diff --git a/dev/assets/source_methods_geom_relations_crosses.md.CWVmsKpo.js b/dev/assets/source_methods_geom_relations_crosses.md.DFkK36VY.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_crosses.md.CWVmsKpo.js
rename to dev/assets/source_methods_geom_relations_crosses.md.DFkK36VY.js
index bf4c3b5a7..ea1ff9e8e 100644
--- a/dev/assets/source_methods_geom_relations_crosses.md.CWVmsKpo.js
+++ b/dev/assets/source_methods_geom_relations_crosses.md.DFkK36VY.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n(`
Crossing checks ​
julia
"""
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n(`
Crossing checks ​
julia
"""
      crosses(geom1, geom2)::Bool
 
 Return \`true\` if the intersection results in a geometry whose dimension is one less than
diff --git a/dev/assets/source_methods_geom_relations_crosses.md.CWVmsKpo.lean.js b/dev/assets/source_methods_geom_relations_crosses.md.DFkK36VY.lean.js
similarity index 73%
rename from dev/assets/source_methods_geom_relations_crosses.md.CWVmsKpo.lean.js
rename to dev/assets/source_methods_geom_relations_crosses.md.DFkK36VY.lean.js
index 0f4bb543d..c71ffed36 100644
--- a/dev/assets/source_methods_geom_relations_crosses.md.CWVmsKpo.lean.js
+++ b/dev/assets/source_methods_geom_relations_crosses.md.DFkK36VY.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n("",10),h=[p];function t(k,e,r,E,g,d){return a(),i("div",null,h)}const o=s(l,[["render",t]]);export{y as __pageData,o as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Crossing checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/crosses.md","filePath":"source/methods/geom_relations/crosses.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/crosses.md"},p=n("",10),h=[p];function t(k,e,r,E,g,d){return a(),i("div",null,h)}const o=s(l,[["render",t]]);export{y as __pageData,o as default};
diff --git a/dev/assets/source_methods_geom_relations_disjoint.md.B8jOB-e2.js b/dev/assets/source_methods_geom_relations_disjoint.md.Ey3ncSdC.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_disjoint.md.B8jOB-e2.js
rename to dev/assets/source_methods_geom_relations_disjoint.md.Ey3ncSdC.js
index 2701cc9b2..6814dca53 100644
--- a/dev/assets/source_methods_geom_relations_disjoint.md.B8jOB-e2.js
+++ b/dev/assets/source_methods_geom_relations_disjoint.md.Ey3ncSdC.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t="/GeometryOps.jl/dev/assets/esclgnl.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n(`
Disjoint ​
julia
export disjoint
What is disjoint? ​
The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const t="/GeometryOps.jl/dev/assets/ingzict.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n(`
Disjoint ​
julia
export disjoint
What is disjoint? ​
The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -110,7 +110,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t
 )
 
 #= Geometry is disjoint from a linestring if the line's interior and boundary
-points don't intersect with the geometrie's interior and boundary points. =#
+points don't intersect with the geometry's interior and boundary points. =#
 _disjoint(
     trait1::Union{GI.LinearRingTrait, GI.PolygonTrait}, g1,
     trait2::Union{GI.LineTrait, GI.LineStringTrait}, g2,
diff --git a/dev/assets/source_methods_geom_relations_disjoint.md.B8jOB-e2.lean.js b/dev/assets/source_methods_geom_relations_disjoint.md.Ey3ncSdC.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_disjoint.md.B8jOB-e2.lean.js
rename to dev/assets/source_methods_geom_relations_disjoint.md.Ey3ncSdC.lean.js
index 5e51bd78f..a3a0ff778 100644
--- a/dev/assets/source_methods_geom_relations_disjoint.md.B8jOB-e2.lean.js
+++ b/dev/assets/source_methods_geom_relations_disjoint.md.Ey3ncSdC.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t="/GeometryOps.jl/dev/assets/esclgnl.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n("",39),p=[l];function k(e,r,E,g,d,o){return a(),i("div",null,p)}const F=s(h,[["render",k]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const t="/GeometryOps.jl/dev/assets/ingzict.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n("",39),p=[l];function k(e,r,E,g,d,o){return a(),i("div",null,p)}const F=s(h,[["render",k]]);export{c as __pageData,F as default};
diff --git a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.BjtPpMj6.js b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.BKbXzScL.js
similarity index 97%
rename from dev/assets/source_methods_geom_relations_geom_geom_processors.md.BjtPpMj6.js
rename to dev/assets/source_methods_geom_relations_geom_geom_processors.md.BKbXzScL.js
index 056a2c157..b7c2ee4fa 100644
--- a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.BjtPpMj6.js
+++ b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.BKbXzScL.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n(`
Line-curve interaction ​
julia
#= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n(`
Line-curve interaction ​
julia
#= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)
 and attempts a standardized solution for most of the functions.
 =#
 
@@ -36,7 +36,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
 )
Check interaction of geom with polygon's exterior boundary
julia
    ext_val = _point_filled_curve_orientation(point, GI.getexterior(polygon); exact)
If a point is outside, it isn't interacting with any holes
julia
    ext_val == point_out && return out_allow
if a point is on an external boundary, it isn't interacting with any holes
julia
    ext_val == point_on && return on_allow
If geom is within the polygon, need to check interactions with holes
julia
    for hole in GI.gethole(polygon)
         hole_val = _point_filled_curve_orientation(point, hole; exact)
If a point in in a hole, it is outside of the polygon
julia
        hole_val == point_in && return out_allow
If a point in on a hole edge, it is on the edge of the polygon
julia
        hole_val == point_on && return on_allow
     end
Point is within external boundary and on in/on any holes
julia
    return in_allow
-end
Determines if a line meets the given checks with respect to a curve.
If over_allow is true, segments of the line and curve can be co-linear. If cross_allow is true, segments of the line and curve can cross. If on_allow is true, endpoints of either the line or curve can intersect a segment of the other geometry. If cross_allow is true, segments of the line and curve can be disjoint.
If in_require is true, the interiors of the line and curve must meet in at least one point. If on_require is true, the bounday of one of the two geometries can meet the interior or boundary of the other geometry in at least one point. If out_require is true, there must be at least one point of the given line that is exterior of the curve.
If the point is in an "allowed" location and meets all requirments, return true. Else, return false.
If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment. Same with closed_curve.
julia
@inline function _line_curve_process(line, curve;
+end
Determines if a line meets the given checks with respect to a curve.
If over_allow is true, segments of the line and curve can be co-linear. If cross_allow is true, segments of the line and curve can cross. If on_allow is true, endpoints of either the line or curve can intersect a segment of the other geometry. If cross_allow is true, segments of the line and curve can be disjoint.
If in_require is true, the interiors of the line and curve must meet in at least one point. If on_require is true, the boundary of one of the two geometries can meet the interior or boundary of the other geometry in at least one point. If out_require is true, there must be at least one point of the given line that is exterior of the curve.
If the point is in an "allowed" location and meets all requirements, return true. Else, return false.
If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment. Same with closed_curve.
julia
@inline function _line_curve_process(line, curve;
     over_allow, cross_allow, kw...
 )
     skip, returnval = _maybe_skip_disjoint_extents(line, curve;
@@ -53,7 +53,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
     in_require, on_require, out_require,
     closed_line = false, closed_curve = false,
     exact,
-)
Set up requirments
julia
    in_req_met = !in_require
+)
Set up requirements
julia
    in_req_met = !in_require
     on_req_met = !on_require
     out_req_met = !out_require
Determine curve endpoints
julia
    nl = GI.npoint(line)
     nc = GI.npoint(curve)
@@ -68,7 +68,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         l_end = _tuple_point(GI.getpoint(line, i))
         c_start = _tuple_point(GI.getpoint(curve, closed_curve ? nc : 1))
Loop over each curve segment
julia
        for j in (closed_curve ? 1 : 2):nc
             c_end = _tuple_point(GI.getpoint(curve, j))
Check if line and curve segments meet
julia
            seg_val, intr1, _ = _intersection_point(Float64, (l_start, l_end), (c_start, c_end); exact)
If segments are co-linear
julia
            if seg_val == line_over
-                !over_allow && return false
at least one point in, meets requirments
julia
                in_req_met = true
+                !over_allow && return false
at least one point in, meets requirements
julia
                in_req_met = true
                 point_val = _point_segment_orientation(l_start, c_start, c_end)
If entire segment isn't covered, consider remaining section
julia
                if point_val != point_out
                     i, l_start, break_off = _find_new_seg(i, l_start, l_end, c_start, c_end)
                     break_off && break
@@ -113,7 +113,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
 end
 
 #= If entire segment (le to ls) isn't covered by segment (cs to ce), find remaining section
-part of section outside of cs to ce. If completly covered, increase segment index i. =#
+part of section outside of cs to ce. If completely covered, increase segment index i. =#
 function _find_new_seg(i, ls, le, cs, ce)
     break_off = true
     if _point_segment_orientation(le, cs, ce) != point_out
@@ -141,7 +141,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         ((le, _tuple_point(GI.getpoint(line, i + 1))), (cs, ce))
     end
     return next_seg
-end
Determines if a line meets the given checks with respect to a polygon.
If in_allow is true, segments of the line can be in the polygon interior. If on_allow is true, segments of the line can be on the polygon's boundary. If out_allow is true, segments of the line can be outside of the polygon.
If in_require is true, the interiors of the line and polygon must meet in at least one point. If on_require is true, the line must have at least one point on the polygon'same boundary. If out_require is true, the line must have at least one point outside of the polygon.
If the point is in an "allowed" location and meets all requirments, return true. Else, return false.
If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment.
julia
@inline function _line_polygon_process(line, polygon; kw...)
+end
Determines if a line meets the given checks with respect to a polygon.
If in_allow is true, segments of the line can be in the polygon interior. If on_allow is true, segments of the line can be on the polygon's boundary. If out_allow is true, segments of the line can be outside of the polygon.
If in_require is true, the interiors of the line and polygon must meet in at least one point. If on_require is true, the line must have at least one point on the polygon'same boundary. If out_require is true, the line must have at least one point outside of the polygon.
If the point is in an "allowed" location and meets all requirements, return true. Else, return false.
If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment.
julia
@inline function _line_polygon_process(line, polygon; kw...)
     skip, returnval = _maybe_skip_disjoint_extents(line, polygon; kw...)
     skip && return returnval
     return _inner_line_polygon_process(line, polygon; kw...)
@@ -175,7 +175,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
             !out_allow && return false
             out_req_met = true
         end
-        if on_hole  # hole bounday is polygon boundary
+        if on_hole  # hole boundary is polygon boundary
             !on_allow && return false
             on_req_met = true
         end
@@ -189,7 +189,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         in_req_met = true
     end
     return in_req_met && on_req_met && out_req_met
-end
Determines if a polygon meets the given checks with respect to a polygon.
If in_allow is true, the polygon's interiors must intersect. If on_allow is true, the one of the polygon's boundaries must either interact with the other polygon's boundary or interior. If out_allow is true, the first polygon must have interior regions outside of the second polygon.
If in_require is true, the polygon interiors must meet in at least one point. If on_require is true, one of the polygon's must have at least one boundary point in or on the other polygon. If out_require is true, the first polygon must have at least one interior point outside of the second polygon.
If the point is in an "allowed" location and meets all requirments, return true. Else, return false.
julia
@inline function _polygon_polygon_process(poly1, poly2; kw...)
+end
Determines if a polygon meets the given checks with respect to a polygon.
If in_allow is true, the polygon's interiors must intersect. If on_allow is true, the one of the polygon's boundaries must either interact with the other polygon's boundary or interior. If out_allow is true, the first polygon must have interior regions outside of the second polygon.
If in_require is true, the polygon interiors must meet in at least one point. If on_require is true, one of the polygon's must have at least one boundary point in or on the other polygon. If out_require is true, the first polygon must have at least one interior point outside of the second polygon.
If the point is in an "allowed" location and meets all requirements, return true. Else, return false.
julia
@inline function _polygon_polygon_process(poly1, poly2; kw...)
     skip, returnval = _maybe_skip_disjoint_extents(poly1, poly2; kw...)
     skip && return returnval
     return _inner_polygon_polygon_process(poly1, poly2; kw...)
@@ -287,7 +287,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         !between_endpoints && return out
     end
     return in
-end
Determine if point is in, on, or out of a closed curve, which includes the space enclosed by the closed curve.
In means the point is within the closed curve (excluding edges and vertices). On means the point is on an edge or a vertex of the closed curve. Out means the point is outside of the closed curve.
Point should be an object of point trait and curve should be an object with a linestring or linearring trait, that is assumed to be closed, regardless of repeated last point.
Can provide values of in, on, and out keywords, which determines return values for each scenario.
Note that this uses the Algorithm by Hao and Sun (2018): https://doi.org/10.3390/sym10100477 Paper seperates orientation of point and edge into 26 cases. For each case, it is either a case where the point is on the edge (returns on), where a ray from the point (x, y) to infinity along the line y = y cut through the edge (k += 1), or the ray does not pass through the edge (do nothing and continue). If the ray passes through an odd number of edges, it is within the curve, else outside of of the curve if it didn't return 'on'. See paper for more information on cases denoted in comments.
julia
function _point_filled_curve_orientation(
+end
Determine if point is in, on, or out of a closed curve, which includes the space enclosed by the closed curve.
In means the point is within the closed curve (excluding edges and vertices). On means the point is on an edge or a vertex of the closed curve. Out means the point is outside of the closed curve.
Point should be an object of point trait and curve should be an object with a linestring or linearring trait, that is assumed to be closed, regardless of repeated last point.
Can provide values of in, on, and out keywords, which determines return values for each scenario.
Note that this uses the Algorithm by Hao and Sun (2018): https://doi.org/10.3390/sym10100477 Paper separates orientation of point and edge into 26 cases. For each case, it is either a case where the point is on the edge (returns on), where a ray from the point (x, y) to infinity along the line y = y cut through the edge (k += 1), or the ray does not pass through the edge (do nothing and continue). If the ray passes through an odd number of edges, it is within the curve, else outside of of the curve if it didn't return 'on'. See paper for more information on cases denoted in comments.
julia
function _point_filled_curve_orientation(
     point, curve;
     in::T = point_in, on::T = point_on, out::T = point_out, exact,
 ) where {T}
@@ -392,7 +392,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
         l_start = l_end
     end
     return in_curve, on_curve, out_curve
-end
Determines the types of interactions of a line with a polygon.
Returns a tuple of booleans: (in_poly, on_poly, out_poly).
If in_poly is true, some of the lines interior points interact with the polygon interior points. If in_poly is true, endpoints of either the line intersect with the polygon or the line interacts with the polygon boundary, including hole bounaries. If out_curve is true, at least one segments of the line is outside the polygon, including inside of holes.
If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment.
julia
function _line_polygon_interactions(
+end
Determines the types of interactions of a line with a polygon.
Returns a tuple of booleans: (in_poly, on_poly, out_poly).
If in_poly is true, some of the lines interior points interact with the polygon interior points. If in_poly is true, endpoints of either the line intersect with the polygon or the line interacts with the polygon boundary, including hole boundaries. If out_curve is true, at least one segments of the line is outside the polygon, including inside of holes.
If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment.
julia
function _line_polygon_interactions(
     line, polygon;
     exact, closed_line = false,
 )
diff --git a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.BjtPpMj6.lean.js b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.BKbXzScL.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_geom_geom_processors.md.BjtPpMj6.lean.js
rename to dev/assets/source_methods_geom_relations_geom_geom_processors.md.BKbXzScL.lean.js
index a3ae61afb..77e7e7713 100644
--- a/dev/assets/source_methods_geom_relations_geom_geom_processors.md.BjtPpMj6.lean.js
+++ b/dev/assets/source_methods_geom_relations_geom_geom_processors.md.BKbXzScL.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n("",142),t=[l];function p(k,e,r,E,d,g){return a(),i("div",null,t)}const c=s(h,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Line-curve interaction","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/geom_geom_processors.md","filePath":"source/methods/geom_relations/geom_geom_processors.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/geom_geom_processors.md"},l=n("",142),t=[l];function p(k,e,r,E,d,g){return a(),i("div",null,t)}const c=s(h,[["render",p]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_methods_geom_relations_intersects.md.DSsOzsR7.js b/dev/assets/source_methods_geom_relations_intersects.md.BipP7oNj.js
similarity index 98%
rename from dev/assets/source_methods_geom_relations_intersects.md.DSsOzsR7.js
rename to dev/assets/source_methods_geom_relations_intersects.md.BipP7oNj.js
index 1f20fad66..bbf226adc 100644
--- a/dev/assets/source_methods_geom_relations_intersects.md.DSsOzsR7.js
+++ b/dev/assets/source_methods_geom_relations_intersects.md.BipP7oNj.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const n="/GeometryOps.jl/dev/assets/lbpsisg.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e(`
Intersection checks ​
julia
export intersects
What is intersects? ​
The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.CpnCegiD.js";const n="/GeometryOps.jl/dev/assets/ofqxxvh.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e(`
Intersection checks ​
julia
export intersects
What is intersects? ​
The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/dev/assets/source_methods_geom_relations_intersects.md.DSsOzsR7.lean.js b/dev/assets/source_methods_geom_relations_intersects.md.BipP7oNj.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_intersects.md.DSsOzsR7.lean.js
rename to dev/assets/source_methods_geom_relations_intersects.md.BipP7oNj.lean.js
index 688f55508..10d20b7e5 100644
--- a/dev/assets/source_methods_geom_relations_intersects.md.DSsOzsR7.lean.js
+++ b/dev/assets/source_methods_geom_relations_intersects.md.BipP7oNj.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const n="/GeometryOps.jl/dev/assets/lbpsisg.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e("",18),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.CpnCegiD.js";const n="/GeometryOps.jl/dev/assets/ofqxxvh.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e("",18),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_methods_geom_relations_overlaps.md.BvA1Wxsv.js b/dev/assets/source_methods_geom_relations_overlaps.md.-oFxCtIE.js
similarity index 96%
rename from dev/assets/source_methods_geom_relations_overlaps.md.BvA1Wxsv.js
rename to dev/assets/source_methods_geom_relations_overlaps.md.-oFxCtIE.js
index 312b346fe..ef49c9270 100644
--- a/dev/assets/source_methods_geom_relations_overlaps.md.BvA1Wxsv.js
+++ b/dev/assets/source_methods_geom_relations_overlaps.md.-oFxCtIE.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l="/GeometryOps.jl/dev/assets/atfvmse.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n(`
Overlaps ​
julia
export overlaps
What is overlaps? ​
The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.
Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is colinear.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const l="/GeometryOps.jl/dev/assets/qmdfdhw.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n(`
Overlaps ​
julia
export overlaps
What is overlaps? ​
The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.
Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is collinear.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -9,7 +9,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l
 scatter!(GI.getpoint(l1), color = :blue)
 lines!(GI.getpoint(l2), color = :orange)
 scatter!(GI.getpoint(l2), color = :orange)
-f
We can see that the two lines overlap in the plot:
julia
GO.overlaps(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions autmoatically can return false.
For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectivly, without being contained.
julia
"""
+f
We can see that the two lines overlap in the plot:
julia
GO.overlaps(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions 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
@@ -73,7 +73,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l
 """
     overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
 
-If the lines overlap, meaning that they are colinear but each have one endpoint
+If the lines overlap, meaning that they are collinear but each have one endpoint
 outside of the other line, return true. Else false.
 """
 overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line) =
@@ -169,7 +169,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l
     return false
 end
 
-#= If the edges overlap, meaning that they are colinear but each have one endpoint
+#= If the edges overlap, meaning that they are collinear but each have one endpoint
 outside of the other edge, return true. Else false. =#
 function _overlaps(
     (a1, a2)::Edge,
diff --git a/dev/assets/source_methods_geom_relations_overlaps.md.BvA1Wxsv.lean.js b/dev/assets/source_methods_geom_relations_overlaps.md.-oFxCtIE.lean.js
similarity index 76%
rename from dev/assets/source_methods_geom_relations_overlaps.md.BvA1Wxsv.lean.js
rename to dev/assets/source_methods_geom_relations_overlaps.md.-oFxCtIE.lean.js
index 1634b7cc6..fbbc9634c 100644
--- a/dev/assets/source_methods_geom_relations_overlaps.md.BvA1Wxsv.lean.js
+++ b/dev/assets/source_methods_geom_relations_overlaps.md.-oFxCtIE.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const l="/GeometryOps.jl/dev/assets/atfvmse.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n("",37),e=[t];function h(k,r,d,g,o,F){return a(),i("div",null,e)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const l="/GeometryOps.jl/dev/assets/qmdfdhw.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n("",37),e=[t];function h(k,r,d,g,o,F){return a(),i("div",null,e)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_methods_geom_relations_touches.md.bOdhhT-s.js b/dev/assets/source_methods_geom_relations_touches.md.Be6oTFXc.js
similarity index 97%
rename from dev/assets/source_methods_geom_relations_touches.md.bOdhhT-s.js
rename to dev/assets/source_methods_geom_relations_touches.md.Be6oTFXc.js
index 20f062a6f..f2cac41c4 100644
--- a/dev/assets/source_methods_geom_relations_touches.md.bOdhhT-s.js
+++ b/dev/assets/source_methods_geom_relations_touches.md.Be6oTFXc.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t="/GeometryOps.jl/dev/assets/adbjhet.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n(`
Touches ​
julia
export touches
What is touches? ​
The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometies interior or boundary.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const t="/GeometryOps.jl/dev/assets/lhpdfnq.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n(`
Touches ​
julia
export touches
What is touches? ​
The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -19,7 +19,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t
 
 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 geometies interior or
+boundary point that interacts with either the other geometry's interior or
 boundary.
 
 # Examples
@@ -62,8 +62,8 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t
 _touches(
     trait1::Union{GI.AbstractCurveTrait, GI.PolygonTrait}, g1,
     trait2::GI.PointTrait, g2,
-) = _touches(trait2, g2, trait1, g1)
Lines touching geometries ​
julia
#= Linestring touches another line if at least one bounday point interacts with
-the bounday of interior of the other line, but the interiors don't interact. =#
+) = _touches(trait2, g2, trait1, g1)
Lines touching geometries ​
julia
#= Linestring touches another line if at least one boundary point interacts with
+the boundary of interior of the other line, but the interiors don't interact. =#
 _touches(
     ::Union{GI.LineTrait, GI.LineStringTrait}, g1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, g2,
@@ -110,14 +110,14 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t
 ) = _touches(trait2, g2, trait1, g1)
 
 #= Linearring cannot touch another linear ring since they are both exclusively
-made up of interior points and no bounday points =#
+made up of interior points and no boundary points =#
 _touches(
     ::GI.LinearRingTrait, g1,
     ::GI.LinearRingTrait, g2,
 ) = false
 
 #= Linearring touches a polygon if at least one of the points of the ring
-interact with the polygon bounday and non are in the polygon interior. =#
+interact with the polygon boundary and non are in the polygon interior. =#
 _touches(
     ::GI.LinearRingTrait, g1,
     ::GI.PolygonTrait, g2,
@@ -127,8 +127,8 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t
     TOUCHES_REQUIRES...,
     TOUCHES_EXACT...,
     closed_line = true,
-)
Polygons touch geometries ​
julia
#= Polygon touches a curve if at least one of the curve bounday points interacts
-with the polygon's bounday and no curve points interact with the interior.=#
+)
Polygons touch geometries ​
julia
#= Polygon touches a curve if at least one of the curve boundary points interacts
+with the polygon's boundary and no curve points interact with the interior.=#
 _touches(
     trait1::GI.PolygonTrait, g1,
     trait2::GI.AbstractCurveTrait, g2
diff --git a/dev/assets/source_methods_geom_relations_touches.md.bOdhhT-s.lean.js b/dev/assets/source_methods_geom_relations_touches.md.Be6oTFXc.lean.js
similarity index 75%
rename from dev/assets/source_methods_geom_relations_touches.md.bOdhhT-s.lean.js
rename to dev/assets/source_methods_geom_relations_touches.md.Be6oTFXc.lean.js
index 6a9ead2c6..b9b81c993 100644
--- a/dev/assets/source_methods_geom_relations_touches.md.bOdhhT-s.lean.js
+++ b/dev/assets/source_methods_geom_relations_touches.md.Be6oTFXc.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const t="/GeometryOps.jl/dev/assets/adbjhet.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(h,[["render",p]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const t="/GeometryOps.jl/dev/assets/lhpdfnq.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(h,[["render",p]]);export{c as __pageData,F as default};
diff --git a/dev/assets/source_methods_geom_relations_within.md.CzUr-h8N.js b/dev/assets/source_methods_geom_relations_within.md.326UAtQM.js
similarity index 99%
rename from dev/assets/source_methods_geom_relations_within.md.CzUr-h8N.js
rename to dev/assets/source_methods_geom_relations_within.md.326UAtQM.js
index e9d1a43c1..807171c98 100644
--- a/dev/assets/source_methods_geom_relations_within.md.CzUr-h8N.js
+++ b/dev/assets/source_methods_geom_relations_within.md.326UAtQM.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/olvcwxh._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n(`
Within ​
julia
export within
What is within? ​
The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/dgfelxe._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n(`
Within ​
julia
export within
What is within? ​
The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/dev/assets/source_methods_geom_relations_within.md.CzUr-h8N.lean.js b/dev/assets/source_methods_geom_relations_within.md.326UAtQM.lean.js
similarity index 75%
rename from dev/assets/source_methods_geom_relations_within.md.CzUr-h8N.lean.js
rename to dev/assets/source_methods_geom_relations_within.md.326UAtQM.lean.js
index 2b274cc85..315424fc3 100644
--- a/dev/assets/source_methods_geom_relations_within.md.CzUr-h8N.lean.js
+++ b/dev/assets/source_methods_geom_relations_within.md.326UAtQM.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/olvcwxh._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n("",41),p=[l];function e(k,r,E,g,d,y){return a(),i("div",null,p)}const F=s(t,[["render",e]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/dgfelxe._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n("",41),p=[l];function e(k,r,E,g,d,y){return a(),i("div",null,p)}const F=s(t,[["render",e]]);export{c as __pageData,F as default};
diff --git a/dev/assets/source_methods_orientation.md.CASnd2QG.js b/dev/assets/source_methods_orientation.md.DA9Vnshv.js
similarity index 99%
rename from dev/assets/source_methods_orientation.md.CASnd2QG.js
rename to dev/assets/source_methods_orientation.md.DA9Vnshv.js
index 895f33b7d..84f66ddfb 100644
--- a/dev/assets/source_methods_orientation.md.CASnd2QG.js
+++ b/dev/assets/source_methods_orientation.md.DA9Vnshv.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n(`
Orientation ​
julia
export isclockwise, isconcave
isclockwise ​
The orientation of a geometry is whether it runs clockwise or counter-clockwise.
This is defined for linestrings, linear rings, or vectors of points.
isconcave ​
A polygon is concave if it has at least one interior angle greater than 180 degrees, meaning that the interior of the polygon is not a convex set.
These are all adapted from Turf.jl.
The may not necessarily be what want in the end but work for now!
julia
"""
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n(`
Orientation ​
julia
export isclockwise, isconcave
isclockwise ​
The orientation of a geometry is whether it runs clockwise or counter-clockwise.
This is defined for linestrings, linear rings, or vectors of points.
isconcave ​
A polygon is concave if it has at least one interior angle greater than 180 degrees, meaning that the interior of the polygon is not a convex set.
These are all adapted from Turf.jl.
The may not necessarily be what want in the end but work for now!
julia
"""
     isclockwise(line::Union{LineString, Vector{Position}})::Bool
 
 Take a ring and return \`true\` if the line goes clockwise, or \`false\` if the line goes
diff --git a/dev/assets/source_methods_orientation.md.CASnd2QG.lean.js b/dev/assets/source_methods_orientation.md.DA9Vnshv.lean.js
similarity index 71%
rename from dev/assets/source_methods_orientation.md.CASnd2QG.lean.js
rename to dev/assets/source_methods_orientation.md.DA9Vnshv.lean.js
index 56f7f97f7..46206a862 100644
--- a/dev/assets/source_methods_orientation.md.CASnd2QG.lean.js
+++ b/dev/assets/source_methods_orientation.md.DA9Vnshv.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n("",28),h=[p];function t(e,k,r,d,g,E){return a(),i("div",null,h)}const c=s(l,[["render",t]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Orientation","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/orientation.md","filePath":"source/methods/orientation.md","lastUpdated":null}'),l={name:"source/methods/orientation.md"},p=n("",28),h=[p];function t(e,k,r,d,g,E){return a(),i("div",null,h)}const c=s(l,[["render",t]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_methods_polygonize.md.Geb3kI4e.js b/dev/assets/source_methods_polygonize.md.S22nQIi1.js
similarity index 99%
rename from dev/assets/source_methods_polygonize.md.Geb3kI4e.js
rename to dev/assets/source_methods_polygonize.md.S22nQIi1.js
index d8c041a89..934f0f8dd 100644
--- a/dev/assets/source_methods_polygonize.md.Geb3kI4e.js
+++ b/dev/assets/source_methods_polygonize.md.S22nQIi1.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n(`
Polygonizing raster data ​
julia
export polygonize
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n(`
Polygonizing raster data ​
julia
export polygonize
 
 #=
 The methods in this file convert a raster image into a set of polygons,
@@ -33,7 +33,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
 Now, we can use the \`polygonize\` function to convert the raster data into polygons.
 
 For this particular example, we chose a range of z-values between 0.8 and 3.2,
-which would provide two distinct polyogns with holes.
+which would provide two distinct polygons with holes.
 
 \`\`\`@example polygonize
 polygons = polygonize(xs, ys, 0.8 .< zs .< 3.2)
@@ -246,7 +246,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o
     assigned_holes = count(assigned)
     assigned_holes == length(holes) || @warn "Not all holes were assigned to polygons, $(length(holes) - assigned_holes) where missed from $(length(holes)) holes and $(length(polygons)) polygons"
 
-    if isempty(polygons)
TODO: this really should return an emtpty MultiPolygon but GeoInterface wrappers cant do that yet, which is not ideal...
julia
        @warn "No polgons found, check your data or try another function for \`f\`"
+    if isempty(polygons)
TODO: this really should return an empty MultiPolygon but GeoInterface wrappers cant do that yet, which is not ideal...
julia
        @warn "No polgons found, check your data or try another function for \`f\`"
         return nothing
     else
Otherwise return a wrapped MultiPolygon
julia
        return GI.MultiPolygon(polygons; crs, extent = mapreduce(GI.extent, Extents.union, polygons))
     end
diff --git a/dev/assets/source_methods_polygonize.md.Geb3kI4e.lean.js b/dev/assets/source_methods_polygonize.md.S22nQIi1.lean.js
similarity index 72%
rename from dev/assets/source_methods_polygonize.md.Geb3kI4e.lean.js
rename to dev/assets/source_methods_polygonize.md.S22nQIi1.lean.js
index 0ef225b02..10937045c 100644
--- a/dev/assets/source_methods_polygonize.md.Geb3kI4e.lean.js
+++ b/dev/assets/source_methods_polygonize.md.S22nQIi1.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n("",86),p=[l];function t(k,e,d,E,r,g){return a(),i("div",null,p)}const c=s(h,[["render",t]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Polygonizing raster data","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/polygonize.md","filePath":"source/methods/polygonize.md","lastUpdated":null}'),h={name:"source/methods/polygonize.md"},l=n("",86),p=[l];function t(k,e,d,E,r,g){return a(),i("div",null,p)}const c=s(h,[["render",t]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_not_implemented_yet.md.DmzFilCO.js b/dev/assets/source_not_implemented_yet.md.B6R1ju5V.js
similarity index 94%
rename from dev/assets/source_not_implemented_yet.md.DmzFilCO.js
rename to dev/assets/source_not_implemented_yet.md.B6R1ju5V.js
index 83b9c191a..1e2bf6bf2 100644
--- a/dev/assets/source_not_implemented_yet.md.DmzFilCO.js
+++ b/dev/assets/source_not_implemented_yet.md.B6R1ju5V.js
@@ -1,4 +1,4 @@
-import{_ as e,c as i,o as t,a7 as s}from"./chunks/framework.B24clL9_.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s(`
Not implemented yet ​
All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.
julia
function symdifference end
+import{_ as e,c as i,o as t,a7 as s}from"./chunks/framework.CpnCegiD.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s(`
Not implemented yet ​
All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.
julia
function symdifference end
 function buffer end
 function convexhull end
 function concavehull end
This page was generated using Literate.jl.
`,5),l=[n];function p(h,o,r,d,c,m){return t(),i("div",null,l)}const u=e(a,[["render",p]]);export{_ as __pageData,u as default};
diff --git a/dev/assets/source_not_implemented_yet.md.DmzFilCO.lean.js b/dev/assets/source_not_implemented_yet.md.B6R1ju5V.lean.js
similarity index 71%
rename from dev/assets/source_not_implemented_yet.md.DmzFilCO.lean.js
rename to dev/assets/source_not_implemented_yet.md.B6R1ju5V.lean.js
index 5deef59e3..6b08b912d 100644
--- a/dev/assets/source_not_implemented_yet.md.DmzFilCO.lean.js
+++ b/dev/assets/source_not_implemented_yet.md.B6R1ju5V.lean.js
@@ -1 +1 @@
-import{_ as e,c as i,o as t,a7 as s}from"./chunks/framework.B24clL9_.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s("",5),l=[n];function p(h,o,r,d,c,m){return t(),i("div",null,l)}const u=e(a,[["render",p]]);export{_ as __pageData,u as default};
+import{_ as e,c as i,o as t,a7 as s}from"./chunks/framework.CpnCegiD.js";const _=JSON.parse('{"title":"Not implemented yet","description":"","frontmatter":{},"headers":[],"relativePath":"source/not_implemented_yet.md","filePath":"source/not_implemented_yet.md","lastUpdated":null}'),a={name:"source/not_implemented_yet.md"},n=s("",5),l=[n];function p(h,o,r,d,c,m){return t(),i("div",null,l)}const u=e(a,[["render",p]]);export{_ as __pageData,u as default};
diff --git a/dev/assets/source_primitives.md.CJbutZTX.js b/dev/assets/source_primitives.md.Ci3epseD.js
similarity index 97%
rename from dev/assets/source_primitives.md.CJbutZTX.js
rename to dev/assets/source_primitives.md.Ci3epseD.js
index 41127271a..fae9abb81 100644
--- a/dev/assets/source_primitives.md.CJbutZTX.js
+++ b/dev/assets/source_primitives.md.Ci3epseD.js
@@ -1,7 +1,7 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t(`
Primitive functions ​
julia
export apply, applyreduce, TraitTarget
This file mainly defines the apply and applyreduce functions, and some related functionality.
In general, the idea behind the apply framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or TraitTarget union thereof, like PointTrait or PolygonTrait) and perform some operation on it.
This allows for a simple and consistent framework within which users can define their own operations trivially easily, and removes a lot of the complexity involved with handling complex geometry structures.
For example, a simple way to flip the x and y coordinates of a geometry is:
julia
flipped_geom = GO.apply(GI.PointTrait(), geom) do p
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t(`
Primitive functions ​
julia
export apply, applyreduce, TraitTarget
This file mainly defines the apply and applyreduce functions, and some related functionality.
In general, the idea behind the apply framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or TraitTarget union thereof, like PointTrait or PolygonTrait) and perform some operation on it.
This allows for a simple and consistent framework within which users can define their own operations trivially easily, and removes a lot of the complexity involved with handling complex geometry structures.
For example, a simple way to flip the x and y coordinates of a geometry is:
julia
flipped_geom = GO.apply(GI.PointTrait(), geom) do p
     (GI.y(p), GI.x(p))
 end
As simple as that. There's no need to implement your own decomposition because it's done for you.
Functions like flip, reproject, transform, even segmentize and simplify have been implemented using the apply framework. Similarly, centroid, area and distance have been implemented using the applyreduce framework.
Docstrings ​
Functions ​
Missing docstring.
Missing docstring for apply. Check Documenter's build log for details.
Missing docstring.
Missing docstring for applyreduce. Check Documenter's build log for details.
Missing docstring.
Missing docstring for GeometryOps.unwrap. Check Documenter's build log for details.
# GeometryOps.flatten — Function. 
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
-flatten(f, target::Type{<:GI.AbstractTrait}, obj)
Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.
If f is passed in it will be applied to the target geometries.
source

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

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

Types ​
Missing docstring.
Missing docstring for TraitTarget. Check Documenter's build log for details.
Implementation ​
julia
const THREADED_KEYWORD = "- \`threaded\`: \`true\` or \`false\`. Whether to use multithreading. Defaults to \`false\`."
+flatten(f, target::Type{<:GI.AbstractTrait}, obj)
Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.
If f is passed in it will be applied to the target geometries.
source

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

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

Types ​
Missing docstring.
Missing docstring for TraitTarget. Check Documenter's build log for details.
Implementation ​
julia
const THREADED_KEYWORD = "- \`threaded\`: \`true\` or \`false\`. Whether to use multithreading. Defaults to \`false\`."
 const CRS_KEYWORD = "- \`crs\`: The CRS to attach to geometries. Defaults to \`nothing\`."
 const CALC_EXTENT_KEYWORD = "- \`calc_extent\`: \`true\` or \`false\`. Whether to calculate the extent. Defaults to \`false\`."
 
@@ -86,14 +86,14 @@ import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const o
 ) where F
Run _apply on all features in the feature collection, possibly threaded
julia
    apply_to_feature(i) =
         _apply(f, target, GI.getfeature(fc, i); crs, calc_extent, threaded=_False())::GI.Feature
     features = _maptasks(apply_to_feature, 1:GI.nfeature(fc), threaded)
-    if calc_extent isa _True
Calculate the extent of the features
julia
        extent = mapreduce(GI.extent, Extents.union, features)
Return a FeatureCollection with features, crs and caculated extent
julia
        return GI.FeatureCollection(features; crs, extent)
+    if calc_extent isa _True
Calculate the extent of the features
julia
        extent = mapreduce(GI.extent, Extents.union, features)
Return a FeatureCollection with features, crs and calculated extent
julia
        return GI.FeatureCollection(features; crs, extent)
     else
Return a FeatureCollection with features and crs
julia
        return GI.FeatureCollection(features; crs)
     end
 end
Rewrap all FeatureTrait features as GI.Feature, keeping the properties
julia
@inline function _apply(f::F, target, ::GI.FeatureTrait, feature;
     crs=GI.crs(feature), calc_extent=_False(), threaded
 ) where F
Run _apply on the contained geometry
julia
    geometry = _apply(f, target, GI.geometry(feature); crs, calc_extent, threaded)
Get the feature properties
julia
    properties = GI.properties(feature)
-    if calc_extent isa _True
Calculate the extent of the geometry
julia
        extent = GI.extent(geometry)
Return a new Feature with the new geometry and calculated extent, but the oroginal properties and crs
julia
        return GI.Feature(geometry; properties, crs, extent)
-    else
Return a new Feature with the new geometry, but the oroginal properties and crs
julia
        return GI.Feature(geometry; properties, crs)
+    if calc_extent isa _True
Calculate the extent of the geometry
julia
        extent = GI.extent(geometry)
Return a new Feature with the new geometry and calculated extent, but the original properties and crs
julia
        return GI.Feature(geometry; properties, crs, extent)
+    else
Return a new Feature with the new geometry, but the original properties and crs
julia
        return GI.Feature(geometry; properties, crs)
     end
 end
Reconstruct nested geometries, maybe using threads to call _apply on component geoms
julia
@inline function _apply(f::F, target, trait, geom;
     crs=GI.crs(geom), calc_extent=_False(), threaded
@@ -101,9 +101,9 @@ import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const o
     geoms = _maptasks(apply_to_geom, 1:GI.ngeom(geom), threaded)
     return _apply_inner(geom, geoms, crs, calc_extent)
 end
-function _apply_inner(geom, geoms, crs, calc_extent::_True)
Calculate the extent of the sub geometries
julia
    extent = mapreduce(GI.extent, Extents.union, geoms)
Return a new geometry of the same trait as geom, holding tnew geoms with crs and calcualted extent
julia
    return rebuild(geom, geoms; crs, extent)
+function _apply_inner(geom, geoms, crs, calc_extent::_True)
Calculate the extent of the sub geometries
julia
    extent = mapreduce(GI.extent, Extents.union, geoms)
Return a new geometry of the same trait as geom, holding the new geoms with crs and calculated extent
julia
    return rebuild(geom, geoms; crs, extent)
 end
-function _apply_inner(geom, geoms, crs, calc_extent::_False)
Return a new geometryof the same trait as geom, holding the new geoms with crs
julia
    return rebuild(geom, geoms; crs)
+function _apply_inner(geom, geoms, crs, calc_extent::_False)
Return a new geometry of the same trait as geom, holding the new geoms with crs
julia
    return rebuild(geom, geoms; crs)
 end
Fail loudly if we hit PointTrait without running f (after PointTrait there is no further to dig with _apply) @inline _apply(f, ::TraitTarget{Target}, trait::GI.PointTrait, geom; crs=nothing, kw...) where Target = throw(ArgumentError("target Target not found, but reached a PointTrait leaf")) Finally, these short methods are the main purpose of apply. The Trait is a subtype of the Target (or identical to it) So the Target is found. We apply f to geom and return it to previous _apply calls to be wrapped with the outer geometries/feature/featurecollection/array.
julia
_apply(f::F, ::TraitTarget{Target}, ::Trait, geom; crs=GI.crs(geom), kw...) where {F,Target,Trait<:Target} = f(geom)
Define some specific cases of this match to avoid method ambiguity
julia
for T in (
     GI.PointTrait, GI.LinearRing, GI.LineString,
     GI.MultiPoint, GI.FeatureTrait, GI.FeatureCollectionTrait
@@ -130,7 +130,7 @@ import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const o
 end
 
 @inline _applyreduce(f::F, op::O, target, geom; threaded, init) where {F, O} =
-    _applyreduce(f, op, target, GI.trait(geom), geom; threaded, init)
Maybe use threads recucing over arrays
julia
@inline function _applyreduce(f::F, op::O, target, ::Nothing, A::AbstractArray; threaded, init) where {F, O}
+    _applyreduce(f, op, target, GI.trait(geom), geom; threaded, init)
Maybe use threads reducing over arrays
julia
@inline function _applyreduce(f::F, op::O, target, ::Nothing, A::AbstractArray; threaded, init) where {F, O}
     applyreduce_array(i) = _applyreduce(f, op, target, A[i]; threaded=_False(), init)
     _mapreducetasks(applyreduce_array, op, eachindex(A), threaded; init)
 end
Try to applyreduce over iterables
julia
@inline function _applyreduce(f::F, op::O, target, ::Nothing, iterable::IterableType; threaded, init) where {F, O, IterableType}
@@ -227,7 +227,7 @@ import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const o
 
 All objects in \`components\` must have the same \`GeoInterface.trait\`.
 
-Ususally used in combination with \`flatten\`.
+Usually used in combination with \`flatten\`.
 """
 function reconstruct(geom, components)
     obj, iter = _reconstruct(geom, components)
@@ -287,14 +287,14 @@ import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const o
     end
 end
 
-using Base.Threads: nthreads, @threads, @spawn
Threading utility, modified Mason Protters threading PSA run f over ntasks, where f recieves an AbstractArray/range of linear indices
julia
@inline function _maptasks(f::F, taskrange, threaded::_True)::Vector where F
+using Base.Threads: nthreads, @threads, @spawn
Threading utility, modified Mason Protters threading PSA run f over ntasks, where f receives an AbstractArray/range of linear indices
julia
@inline function _maptasks(f::F, taskrange, threaded::_True)::Vector where F
     ntasks = length(taskrange)
Customize this as needed. More tasks have more overhead, but better load balancing
julia
    tasks_per_thread = 2
     chunk_size = max(1, ntasks ÷ (tasks_per_thread * nthreads()))
partition the range into chunks
julia
    task_chunks = Iterators.partition(taskrange, chunk_size)
Map over the chunks
julia
    tasks = map(task_chunks) do chunk
Spawn a task to process this chunk
julia
        @spawn begin
Where we map f over the chunk indices
julia
            map(f, chunk)
         end
     end
Finally we join the results into a new vector
julia
    return mapreduce(fetch, vcat, tasks)
 end
Here we use the compiler directive @assume_effects :foldable to force the compiler to lookup through the closure. This alone makes e.g. flip 2.5x faster!
julia
Base.@assume_effects :foldable @inline function _maptasks(f::F, taskrange, threaded::_False)::Vector where F
     map(f, taskrange)
-end
Threading utility, modified Mason Protters threading PSA run f over ntasks, where f recieves an AbstractArray/range of linear indices
WARNING: this will not work for mean/median - only ops where grouping is possible
julia
@inline function _mapreducetasks(f::F, op, taskrange, threaded::_True; init) where F
+end
Threading utility, modified Mason Protters threading PSA run f over ntasks, where f receives an AbstractArray/range of linear indices
WARNING: this will not work for mean/median - only ops where grouping is possible
julia
@inline function _mapreducetasks(f::F, op, taskrange, threaded::_True; init) where F
     ntasks = length(taskrange)
Customize this as needed. More tasks have more overhead, but better load balancing
julia
    tasks_per_thread = 2
     chunk_size = max(1, ntasks ÷ (tasks_per_thread * nthreads()))
partition the range into chunks
julia
    task_chunks = Iterators.partition(taskrange, chunk_size)
Map over the chunks
julia
    tasks = map(task_chunks) do chunk
Spawn a task to process this chunk
julia
        @spawn begin
Where we map f over the chunk indices
julia
            mapreduce(f, op, chunk; init)
         end
diff --git a/dev/assets/source_primitives.md.CJbutZTX.lean.js b/dev/assets/source_primitives.md.Ci3epseD.lean.js
similarity index 70%
rename from dev/assets/source_primitives.md.CJbutZTX.lean.js
rename to dev/assets/source_primitives.md.Ci3epseD.lean.js
index 50de90a97..3d33b7735 100644
--- a/dev/assets/source_primitives.md.CJbutZTX.lean.js
+++ b/dev/assets/source_primitives.md.Ci3epseD.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t("",194),e=[h];function l(p,k,r,d,g,E){return a(),i("div",null,e)}const c=s(n,[["render",l]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as t}from"./chunks/framework.CpnCegiD.js";const o=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),n={name:"source/primitives.md"},h=t("",194),e=[h];function l(p,k,r,d,g,E){return a(),i("div",null,e)}const c=s(n,[["render",l]]);export{o as __pageData,c as default};
diff --git a/dev/assets/source_transformations_correction_closed_ring.md.BWSVYN50.js b/dev/assets/source_transformations_correction_closed_ring.md.By-OKekv.js
similarity index 99%
rename from dev/assets/source_transformations_correction_closed_ring.md.BWSVYN50.js
rename to dev/assets/source_transformations_correction_closed_ring.md.By-OKekv.js
index 5e16f6218..e5eecec71 100644
--- a/dev/assets/source_transformations_correction_closed_ring.md.BWSVYN50.js
+++ b/dev/assets/source_transformations_correction_closed_ring.md.By-OKekv.js
@@ -1,4 +1,4 @@
-import{_ as t,c as i,j as s,a,a7 as e,o as n}from"./chunks/framework.B24clL9_.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e(`
Closed Rings ​
julia
export ClosedRing
A closed ring is a ring that has the same start and end point. This is a requirement for a valid polygon (technically, for a valid LinearRing). This correction is used to ensure that the polygon is valid.
The reason this operates on the polygon level is that several packages are loose about whether they return LinearRings (which is correct) or LineStrings (which is incorrect) for the contents of a polygon. Therefore, we decompose manually to ensure correctness.
Example ​
Many polygon providers do not close their polygons, which makes them invalid according to the specification. Quite a few geometry algorithms assume that polygons are closed, and leaving them open can lead to incorrect results!
For example, the following polygon is not valid:
julia
import GeoInterface as GI
+import{_ as t,c as i,j as s,a,a7 as e,o as n}from"./chunks/framework.CpnCegiD.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e(`
Closed Rings ​
julia
export ClosedRing
A closed ring is a ring that has the same start and end point. This is a requirement for a valid polygon (technically, for a valid LinearRing). This correction is used to ensure that the polygon is valid.
The reason this operates on the polygon level is that several packages are loose about whether they return LinearRings (which is correct) or LineStrings (which is incorrect) for the contents of a polygon. Therefore, we decompose manually to ensure correctness.
Example ​
Many polygon providers do not close their polygons, which makes them invalid according to the specification. Quite a few geometry algorithms assume that polygons are closed, and leaving them open can lead to incorrect results!
For example, the following polygon is not valid:
julia
import GeoInterface as GI
 polygon = GI.Polygon([[(0, 0), (1, 0), (1, 1), (0, 1)]])
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Int64, Int64}}, Nothing, Nothing}([(0, 0), (1, 0), (1, 1), (0, 1)], nothing, nothing)], nothing, nothing)
even though it will look correct when visualized, and indeed appears correct.
julia
import GeometryOps as GO
 GO.fix(polygon, corrections = [GO.ClosedRing()])
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (1.0, 0.0), (1.0, 1.0), (0.0, 1.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)
`,12),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),o=[r],d=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"},E=e('',1),y=[E],u=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])],-1),F=e(`
Implementation ​
julia
"""
     ClosedRing() <: GeometryCorrection
diff --git a/dev/assets/source_transformations_correction_closed_ring.md.BWSVYN50.lean.js b/dev/assets/source_transformations_correction_closed_ring.md.By-OKekv.lean.js
similarity index 97%
rename from dev/assets/source_transformations_correction_closed_ring.md.BWSVYN50.lean.js
rename to dev/assets/source_transformations_correction_closed_ring.md.By-OKekv.lean.js
index ccebbdab1..c60174e29 100644
--- a/dev/assets/source_transformations_correction_closed_ring.md.BWSVYN50.lean.js
+++ b/dev/assets/source_transformations_correction_closed_ring.md.By-OKekv.lean.js
@@ -1 +1 @@
-import{_ as t,c as i,j as s,a,a7 as e,o as n}from"./chunks/framework.B24clL9_.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e("",12),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),o=[r],d=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"},E=e("",1),y=[E],u=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])],-1),F=e("",12);function m(C,_,v,T,b,f){return n(),i("div",null,[h,s("p",null,[a("You can see that the last point of the ring here is equal to the first point. For a polygon with "),s("mjx-container",p,[(n(),i("svg",k,o)),d]),a(" sides, there should be "),s("mjx-container",g,[(n(),i("svg",c,y)),u]),a(" vertices.")]),F])}const A=t(l,[["render",m]]);export{Q as __pageData,A as default};
+import{_ as t,c as i,j as s,a,a7 as e,o as n}from"./chunks/framework.CpnCegiD.js";const Q=JSON.parse('{"title":"Closed Rings","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/closed_ring.md","filePath":"source/transformations/correction/closed_ring.md","lastUpdated":null}'),l={name:"source/transformations/correction/closed_ring.md"},h=e("",12),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},r=s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1),o=[r],d=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1),g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},c={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.254ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2322.4 748","aria-hidden":"true"},E=e("",1),y=[E],u=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])],-1),F=e("",12);function m(C,_,v,T,b,f){return n(),i("div",null,[h,s("p",null,[a("You can see that the last point of the ring here is equal to the first point. For a polygon with "),s("mjx-container",p,[(n(),i("svg",k,o)),d]),a(" sides, there should be "),s("mjx-container",g,[(n(),i("svg",c,y)),u]),a(" vertices.")]),F])}const A=t(l,[["render",m]]);export{Q as __pageData,A as default};
diff --git a/dev/assets/source_transformations_correction_geometry_correction.md.C9Yo3rkc.js b/dev/assets/source_transformations_correction_geometry_correction.md.Bj6QaD57.js
similarity index 99%
rename from dev/assets/source_transformations_correction_geometry_correction.md.C9Yo3rkc.js
rename to dev/assets/source_transformations_correction_geometry_correction.md.Bj6QaD57.js
index 1d12441bb..0e10cbafd 100644
--- a/dev/assets/source_transformations_correction_geometry_correction.md.C9Yo3rkc.js
+++ b/dev/assets/source_transformations_correction_geometry_correction.md.Bj6QaD57.js
@@ -1,4 +1,4 @@
-import{_ as i,c as s,o as e,a7 as t}from"./chunks/framework.B24clL9_.js";const g=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t(`
Geometry Corrections ​
julia
export fix
This file simply defines the GeometryCorrection abstract type, and the interface that any GeometryCorrection must implement.
A geometry correction is a transformation that is applied to a geometry to correct it in some way.
For example, a ClosedRing correction might be applied to a Polygon to ensure that its exterior ring is closed.
Interface ​
All GeometryCorrections are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).
See below for the full interface specification.
# GeometryOps.GeometryCorrection — Type. 
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source

Any geometry correction must implement the interface as given above.
julia
"""
+import{_ as i,c as s,o as e,a7 as t}from"./chunks/framework.CpnCegiD.js";const g=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t(`
Geometry Corrections ​
julia
export fix
This file simply defines the GeometryCorrection abstract type, and the interface that any GeometryCorrection must implement.
A geometry correction is a transformation that is applied to a geometry to correct it in some way.
For example, a ClosedRing correction might be applied to a Polygon to ensure that its exterior ring is closed.
Interface ​
All GeometryCorrections are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).
See below for the full interface specification.
# GeometryOps.GeometryCorrection — Type. 
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source

Any geometry correction must implement the interface as given above.
julia
"""
     abstract type GeometryCorrection
 
 This abstract type represents a geometry correction.
diff --git a/dev/assets/source_transformations_correction_geometry_correction.md.C9Yo3rkc.lean.js b/dev/assets/source_transformations_correction_geometry_correction.md.Bj6QaD57.lean.js
similarity index 76%
rename from dev/assets/source_transformations_correction_geometry_correction.md.C9Yo3rkc.lean.js
rename to dev/assets/source_transformations_correction_geometry_correction.md.Bj6QaD57.lean.js
index 151c430b5..c6d040ec2 100644
--- a/dev/assets/source_transformations_correction_geometry_correction.md.C9Yo3rkc.lean.js
+++ b/dev/assets/source_transformations_correction_geometry_correction.md.Bj6QaD57.lean.js
@@ -1 +1 @@
-import{_ as i,c as s,o as e,a7 as t}from"./chunks/framework.B24clL9_.js";const g=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t("",23),r=[n];function o(l,p,h,c,k,d){return e(),s("div",null,r)}const m=i(a,[["render",o]]);export{g as __pageData,m as default};
+import{_ as i,c as s,o as e,a7 as t}from"./chunks/framework.CpnCegiD.js";const g=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),a={name:"source/transformations/correction/geometry_correction.md"},n=t("",23),r=[n];function o(l,p,h,c,k,d){return e(),s("div",null,r)}const m=i(a,[["render",o]]);export{g as __pageData,m as default};
diff --git a/dev/assets/source_transformations_correction_intersecting_polygons.md.F5THHt5h.js b/dev/assets/source_transformations_correction_intersecting_polygons.md.RsuC_abn.js
similarity index 95%
rename from dev/assets/source_transformations_correction_intersecting_polygons.md.F5THHt5h.js
rename to dev/assets/source_transformations_correction_intersecting_polygons.md.RsuC_abn.js
index b8ba0c2db..8b5e67bee 100644
--- a/dev/assets/source_transformations_correction_intersecting_polygons.md.F5THHt5h.js
+++ b/dev/assets/source_transformations_correction_intersecting_polygons.md.RsuC_abn.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n(`
Intersecting Polygons ​
julia
export UnionIntersectingPolygons
If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirment for a valid multipolygon. However, different libraries may achieve this in different ways.
For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the UnionIntersectingPolygons correction.
The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon's that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.
Example ​
Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.
For example, the following multipolygon is not valid:
julia
import GeoInterface as GI
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n(`
Intersecting Polygons ​
julia
export UnionIntersectingPolygons
If the sub-polygons of a multipolygon are intersecting, this makes them invalid according to specification. Each sub-polygon of a multipolygon being disjoint (other than by a single point) is a requirement for a valid multipolygon. However, different libraries may achieve this in different ways.
For example, taking the union of all sub-polygons of a multipolygon will create a new multipolygon where each sub-polygon is disjoint. This can be done with the UnionIntersectingPolygons correction.
The reason this operates on a multipolygon level is that it is easy for users to mistakenly create multipolygon's that overlap, which can then be detrimental to polygon clipping performance and even create wrong answers.
Example ​
Multipolygon providers may not check that the polygons making up their multipolygons do not intersect, which makes them invalid according to the specification.
For example, the following multipolygon is not valid:
julia
import GeoInterface as GI
 polygon = GI.Polygon([[(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)]])
 multipolygon = GI.MultiPolygon([polygon, polygon])
GeoInterface.Wrappers.MultiPolygon{false, false, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing), GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)
given that the two sub-polygons are the exact same shape.
julia
import GeometryOps as GO
 GO.fix(multipolygon, corrections = [GO.UnionIntersectingPolygons()])
GeoInterface.Wrappers.MultiPolygon{false, false, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)
You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.
Implementation ​
julia
"""
diff --git a/dev/assets/source_transformations_correction_intersecting_polygons.md.F5THHt5h.lean.js b/dev/assets/source_transformations_correction_intersecting_polygons.md.RsuC_abn.lean.js
similarity index 76%
rename from dev/assets/source_transformations_correction_intersecting_polygons.md.F5THHt5h.lean.js
rename to dev/assets/source_transformations_correction_intersecting_polygons.md.RsuC_abn.lean.js
index 320eb711a..5e7916fe8 100644
--- a/dev/assets/source_transformations_correction_intersecting_polygons.md.F5THHt5h.lean.js
+++ b/dev/assets/source_transformations_correction_intersecting_polygons.md.RsuC_abn.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n("",22),h=[t];function p(e,k,r,g,o,E){return a(),i("div",null,h)}const c=s(l,[["render",p]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Intersecting Polygons","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/intersecting_polygons.md","filePath":"source/transformations/correction/intersecting_polygons.md","lastUpdated":null}'),l={name:"source/transformations/correction/intersecting_polygons.md"},t=n("",22),h=[t];function p(e,k,r,g,o,E){return a(),i("div",null,h)}const c=s(l,[["render",p]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_transformations_extent.md.DmS08vS9.js b/dev/assets/source_transformations_extent.md.BPu3IaY5.js
similarity index 95%
rename from dev/assets/source_transformations_extent.md.DmS08vS9.js
rename to dev/assets/source_transformations_extent.md.BPu3IaY5.js
index 4c8807f85..71c312e12 100644
--- a/dev/assets/source_transformations_extent.md.DmS08vS9.js
+++ b/dev/assets/source_transformations_extent.md.BPu3IaY5.js
@@ -1,4 +1,4 @@
-import{_ as s,c as e,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t(`
Extent embedding ​
julia
"""
+import{_ as s,c as e,o as a,a7 as t}from"./chunks/framework.CpnCegiD.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t(`
Extent embedding ​
julia
"""
     embed_extent(obj)
 
 Recursively wrap the object with a GeoInterface.jl geometry,
diff --git a/dev/assets/source_transformations_extent.md.DmS08vS9.lean.js b/dev/assets/source_transformations_extent.md.BPu3IaY5.lean.js
similarity index 72%
rename from dev/assets/source_transformations_extent.md.DmS08vS9.lean.js
rename to dev/assets/source_transformations_extent.md.BPu3IaY5.lean.js
index 2a86c490f..0af81ea05 100644
--- a/dev/assets/source_transformations_extent.md.DmS08vS9.lean.js
+++ b/dev/assets/source_transformations_extent.md.BPu3IaY5.lean.js
@@ -1 +1 @@
-import{_ as s,c as e,o as a,a7 as t}from"./chunks/framework.B24clL9_.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t("",6),l=[i];function p(r,h,d,o,c,k){return a(),e("div",null,l)}const m=s(n,[["render",p]]);export{u as __pageData,m as default};
+import{_ as s,c as e,o as a,a7 as t}from"./chunks/framework.CpnCegiD.js";const u=JSON.parse('{"title":"Extent embedding","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/extent.md","filePath":"source/transformations/extent.md","lastUpdated":null}'),n={name:"source/transformations/extent.md"},i=t("",6),l=[i];function p(r,h,d,o,c,k){return a(),e("div",null,l)}const m=s(n,[["render",p]]);export{u as __pageData,m as default};
diff --git a/dev/assets/source_transformations_flip.md.BJm-42I_.js b/dev/assets/source_transformations_flip.md.BGimQo7i.js
similarity index 97%
rename from dev/assets/source_transformations_flip.md.BJm-42I_.js
rename to dev/assets/source_transformations_flip.md.BGimQo7i.js
index 81942fc32..4098ec5e1 100644
--- a/dev/assets/source_transformations_flip.md.BJm-42I_.js
+++ b/dev/assets/source_transformations_flip.md.BGimQo7i.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n(`
Coordinate flipping ​
This is a simple example of how to use the apply functionality in a function, by flipping the x and y coordinates of a geometry.
julia
"""
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n(`
Coordinate flipping ​
This is a simple example of how to use the apply functionality in a function, by flipping the x and y coordinates of a geometry.
julia
"""
     flip(obj)
 
 Swap all of the x and y coordinates in obj, otherwise
diff --git a/dev/assets/source_transformations_flip.md.BJm-42I_.lean.js b/dev/assets/source_transformations_flip.md.BGimQo7i.lean.js
similarity index 72%
rename from dev/assets/source_transformations_flip.md.BJm-42I_.lean.js
rename to dev/assets/source_transformations_flip.md.BGimQo7i.lean.js
index e5a31707c..3211a6ba4 100644
--- a/dev/assets/source_transformations_flip.md.BJm-42I_.lean.js
+++ b/dev/assets/source_transformations_flip.md.BGimQo7i.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n("",5),l=[t];function h(e,k,r,d,o,g){return a(),i("div",null,l)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Coordinate flipping","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/flip.md","filePath":"source/transformations/flip.md","lastUpdated":null}'),p={name:"source/transformations/flip.md"},t=n("",5),l=[t];function h(e,k,r,d,o,g){return a(),i("div",null,l)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
diff --git a/dev/assets/source_transformations_reproject.md.6JWOJF2A.js b/dev/assets/source_transformations_reproject.md.6JWOJF2A.js
deleted file mode 100644
index 12974e959..000000000
--- a/dev/assets/source_transformations_reproject.md.6JWOJF2A.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e('
Geometry reprojection ​
julia
export reproject
This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the Proj package for the transformation, but this could be moved to an extension if needed.
Note that the actual implementation is in the GeometryOpsProjExt extension module.
This works using the apply functionality.
julia
"""\n    reproject(geometry; source_crs, target_crs, transform, always_xy, time)\n    reproject(geometry, source_crs, target_crs; always_xy, time)\n    reproject(geometry, transform; always_xy, time)\n\nReproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.\n\nThe returned object will be constructed from `GeoInterface.WrapperGeometry`\ngeometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.\n\n!!! tip\n    The `Proj.jl` package must be loaded for this method to work,\n    since it is implemented in a package extension.\n\n# Arguments\n\n- `geometry`: Any GeoInterface.jl compatible geometries.\n- `source_crs`: the source coordinate referece system, as a GeoFormatTypes.jl object or a string.\n- `target_crs`: the target coordinate referece system, as a GeoFormatTypes.jl object or a string.\n\nIf these a passed as keywords, `transform` will take priority.\nWithout it `target_crs` is always needed, and `source_crs` is\nneeded if it is not retreivable from the geometry with `GeoInterface.crs(geometry)`.\n\n# Keywords\n\n- `always_xy`: force x, y coordinate order, `true` by default.\n    `false` will expect and return points in the crs coordinate order.\n- `time`: the time for the coordinates. `Inf` by default.\n$APPLY_KEYWORDS\n"""\nfunction reproject end
Method error handling ​
We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.
julia
function _reproject_error_hinter(io, exc, argtypes, kwargs)\n    if isnothing(Base.get_extension(GeometryOps, :GeometryOpsProjExt)) && exc.f == reproject\n        print(io, "\\n\\nThe `reproject` method requires the Proj.jl package to be explicitly loaded.\\n")\n        print(io, "You can do this by simply typing ")\n        printstyled(io, "using Proj"; color = :cyan, bold = true)\n        println(io, " in your REPL, \\nor otherwise loading Proj.jl via using or import.")\n    else # this is a more general error\n        nothing\n    end\nend
This page was generated using Literate.jl.
',11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_transformations_reproject.md.DHAjuiB9.js b/dev/assets/source_transformations_reproject.md.DHAjuiB9.js
new file mode 100644
index 000000000..719f9d374
--- /dev/null
+++ b/dev/assets/source_transformations_reproject.md.DHAjuiB9.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e('
Geometry reprojection ​
julia
export reproject
This file is pretty simple - it simply reprojects a geometry pointwise from one CRS to another. It uses the Proj package for the transformation, but this could be moved to an extension if needed.
Note that the actual implementation is in the GeometryOpsProjExt extension module.
This works using the apply functionality.
julia
"""\n    reproject(geometry; source_crs, target_crs, transform, always_xy, time)\n    reproject(geometry, source_crs, target_crs; always_xy, time)\n    reproject(geometry, transform; always_xy, time)\n\nReproject any GeoInterface.jl compatible `geometry` from `source_crs` to `target_crs`.\n\nThe returned object will be constructed from `GeoInterface.WrapperGeometry`\ngeometries, wrapping views of a `Vector{Proj.Point{D}}`, where `D` is the dimension.\n\n!!! tip\n    The `Proj.jl` package must be loaded for this method to work,\n    since it is implemented in a package extension.\n\n# Arguments\n\n- `geometry`: Any GeoInterface.jl compatible geometries.\n- `source_crs`: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.\n- `target_crs`: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.\n\nIf these a passed as keywords, `transform` will take priority.\nWithout it `target_crs` is always needed, and `source_crs` is\nneeded if it is not retrievable from the geometry with `GeoInterface.crs(geometry)`.\n\n# Keywords\n\n- `always_xy`: force x, y coordinate order, `true` by default.\n    `false` will expect and return points in the crs coordinate order.\n- `time`: the time for the coordinates. `Inf` by default.\n$APPLY_KEYWORDS\n"""\nfunction reproject end
Method error handling ​
We also inject a method error handler, which prints a suggestion if the Proj extension is not loaded.
julia
function _reproject_error_hinter(io, exc, argtypes, kwargs)\n    if isnothing(Base.get_extension(GeometryOps, :GeometryOpsProjExt)) && exc.f == reproject\n        print(io, "\\n\\nThe `reproject` method requires the Proj.jl package to be explicitly loaded.\\n")\n        print(io, "You can do this by simply typing ")\n        printstyled(io, "using Proj"; color = :cyan, bold = true)\n        println(io, " in your REPL, \\nor otherwise loading Proj.jl via using or import.")\n    else # this is a more general error\n        nothing\n    end\nend
This page was generated using Literate.jl.
',11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_transformations_reproject.md.6JWOJF2A.lean.js b/dev/assets/source_transformations_reproject.md.DHAjuiB9.lean.js
similarity index 73%
rename from dev/assets/source_transformations_reproject.md.6JWOJF2A.lean.js
rename to dev/assets/source_transformations_reproject.md.DHAjuiB9.lean.js
index 647a95196..2c4e3fa03 100644
--- a/dev/assets/source_transformations_reproject.md.6JWOJF2A.lean.js
+++ b/dev/assets/source_transformations_reproject.md.DHAjuiB9.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e("",11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Geometry reprojection","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/reproject.md","filePath":"source/transformations/reproject.md","lastUpdated":null}'),n={name:"source/transformations/reproject.md"},t=e("",11),p=[t];function l(r,h,o,k,d,c){return a(),i("div",null,p)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
diff --git a/dev/assets/source_transformations_segmentize.md.DZWIMZsy.js b/dev/assets/source_transformations_segmentize.md.D4VG4yA6.js
similarity index 99%
rename from dev/assets/source_transformations_segmentize.md.DZWIMZsy.js
rename to dev/assets/source_transformations_segmentize.md.D4VG4yA6.js
index b1c66592f..561561235 100644
--- a/dev/assets/source_transformations_segmentize.md.DZWIMZsy.js
+++ b/dev/assets/source_transformations_segmentize.md.D4VG4yA6.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/nzznycn.BOOG5oTW.png",t="/GeometryOps.jl/dev/assets/qtioqlb.D_GL9RZM.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),l={name:"source/transformations/segmentize.md"},e=n(`
Segmentize ​
julia
export segmentize
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/lpjngjy.BOOG5oTW.png",t="/GeometryOps.jl/dev/assets/azslksb.DfFnyYWA.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),l={name:"source/transformations/segmentize.md"},e=n(`
Segmentize ​
julia
export segmentize
 export LinearSegments, GeodesicSegments
This function "segmentizes" or "densifies" a geometry by adding extra vertices to the geometry so that no segment is longer than a given distance. This is useful for plotting geometries with a limited number of vertices, or for ensuring that a geometry is not too "coarse" for a given application.
Info
We plan to add interpolated segmentization from DataInterpolations.jl in the future, which will be available to any vector of point-like objects.
For now, this function only works on 2D geometries. We will also support 3D geometries, as well as measure interpolation, in the future.
Examples ​
julia
import GeometryOps as GO, GeoInterface as GI
 rectangle = GI.Wrappers.Polygon([[(0.0, 50.0), (7.071, 57.07), (0, 64.14), (-7.07, 57.07), (0.0, 50.0)]])
 linear = GO.segmentize(rectangle; max_distance = 5)
diff --git a/dev/assets/source_transformations_segmentize.md.DZWIMZsy.lean.js b/dev/assets/source_transformations_segmentize.md.D4VG4yA6.lean.js
similarity index 66%
rename from dev/assets/source_transformations_segmentize.md.DZWIMZsy.lean.js
rename to dev/assets/source_transformations_segmentize.md.D4VG4yA6.lean.js
index 633b0cbd0..e0946780f 100644
--- a/dev/assets/source_transformations_segmentize.md.DZWIMZsy.lean.js
+++ b/dev/assets/source_transformations_segmentize.md.D4VG4yA6.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/nzznycn.BOOG5oTW.png",t="/GeometryOps.jl/dev/assets/qtioqlb.D_GL9RZM.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),l={name:"source/transformations/segmentize.md"},e=n("",34),k=[e];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(l,[["render",p]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/lpjngjy.BOOG5oTW.png",t="/GeometryOps.jl/dev/assets/azslksb.DfFnyYWA.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),l={name:"source/transformations/segmentize.md"},e=n("",34),k=[e];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(l,[["render",p]]);export{c as __pageData,C as default};
diff --git a/dev/assets/source_transformations_simplify.md.CTR8JsZ-.js b/dev/assets/source_transformations_simplify.md.BT2U96wa.js
similarity index 99%
rename from dev/assets/source_transformations_simplify.md.CTR8JsZ-.js
rename to dev/assets/source_transformations_simplify.md.BT2U96wa.js
index 1be3ad343..c87974917 100644
--- a/dev/assets/source_transformations_simplify.md.CTR8JsZ-.js
+++ b/dev/assets/source_transformations_simplify.md.BT2U96wa.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/reeyhtn.Bglvb-jp.png",l="/GeometryOps.jl/dev/assets/cpjtgip.B94PsR1K.png",k="/GeometryOps.jl/dev/assets/haxqwpd.T7QiddIg.png",t="/GeometryOps.jl/dev/assets/bjjpnwy.CGuOBdTF.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n(`
Geometry simplification ​
This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
Examples ​
A quick and dirty example is:
julia
using Makie, GeoInterfaceMakie
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/ihbnhiw.Bglvb-jp.png",l="/GeometryOps.jl/dev/assets/prkyiek.B94PsR1K.png",k="/GeometryOps.jl/dev/assets/jehsbsq.Ca53rWB_.png",t="/GeometryOps.jl/dev/assets/sbyddke.BQg609vq.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n(`
Geometry simplification ​
This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
Examples ​
A quick and dirty example is:
julia
using Makie, GeoInterfaceMakie
 import GeoInterface as GI
 import GeometryOps as GO
 
@@ -95,7 +95,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 
 \`RadialDistance\`, \`DouglasPeucker\`, or
 \`VisvalingamWhyatt\` algorithms are available,
-listed in order of increasing quality but decreaseing performance.
+listed in order of increasing quality but decreasing performance.
 
 \`PoinTrait\` and \`MultiPointTrait\` are returned unchanged.
 
@@ -146,7 +146,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
  ) = _simplify(DouglasPeucker(; kw...), data; prefilter_alg, calc_extent, threaded, crs)
 
 
-#= For each algorithm, apply simplication to all curves, multipoints, and
+#= For each algorithm, apply simplification to all curves, multipoints, and
 points, reconstructing everything else around them. =#
 function _simplify(alg::Union{SimplifyAlg, GEOS}, data; prefilter_alg=nothing, kw...)
     simplifier(geom) = _simplify(GI.trait(geom), alg, geom; prefilter_alg)
@@ -188,7 +188,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 $SIMPLIFY_ALG_KEYWORDS
 - \`tol\`: the minimum distance between points.
 
-Note: user input \`tol\` is squared to avoid uneccesary computation in algorithm.
+Note: user input \`tol\` is squared to avoid unnecessary computation in algorithm.
 """
 @kwdef struct RadialDistance <: SimplifyAlg
     number::Union{Int64,Nothing} = nothing
@@ -221,7 +221,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 distance from the line between its neighboring points.
 
 $DOUGLAS_PEUCKER_KEYWORDS
-Note: user input \`tol\` is squared to avoid uneccesary computation in algorithm.
+Note: user input \`tol\` is squared to avoid unnecessary computation in algorithm.
 """
 @kwdef struct DouglasPeucker <: SimplifyAlg
     number::Union{Int64,Nothing} = nothing
@@ -238,7 +238,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 (https://en.wikipedia.org/wiki/Ramer-Douglas-Peucker_algorithm). =#
 function _simplify(alg::DouglasPeucker, points::Vector, preserve_endpoint)
     npoints = length(points)
-    npoints <= MIN_POINTS && return points
Determine stopping critetia
julia
    max_points = if !isnothing(alg.tol)
+    npoints <= MIN_POINTS && return points
Determine stopping criteria
julia
    max_points = if !isnothing(alg.tol)
         npoints
     else
         npts = !isnothing(alg.number) ? alg.number : max(3, round(Int, alg.ratio * npoints))
@@ -304,7 +304,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 end
 
 #= find maximum distance of any point between the start_idx and end_idx to the line formed
-by conencting the points at start_idx and end_idx. Note that the first index of maximum
+by connecting the points at start_idx and end_idx. Note that the first index of maximum
 value will be used, which might cause differences in results from other algorithms.=#
 function _find_max_squared_dist(points, start_idx, end_idx)
     max_idx = start_idx
@@ -328,7 +328,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h
 $SIMPLIFY_ALG_KEYWORDS
 - \`tol\`: the minimum area of a triangle made with a point and
     its neighboring points.
-Note: user input \`tol\` is doubled to avoid uneccesary computation in algorithm.
+Note: user input \`tol\` is doubled to avoid unnecessary computation in algorithm.
 """
 @kwdef struct VisvalingamWhyatt <: SimplifyAlg
     number::Union{Int,Nothing} = nothing
diff --git a/dev/assets/source_transformations_simplify.md.CTR8JsZ-.lean.js b/dev/assets/source_transformations_simplify.md.BT2U96wa.lean.js
similarity index 53%
rename from dev/assets/source_transformations_simplify.md.CTR8JsZ-.lean.js
rename to dev/assets/source_transformations_simplify.md.BT2U96wa.lean.js
index 5f045fb7b..9e072aa93 100644
--- a/dev/assets/source_transformations_simplify.md.CTR8JsZ-.lean.js
+++ b/dev/assets/source_transformations_simplify.md.BT2U96wa.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const h="/GeometryOps.jl/dev/assets/reeyhtn.Bglvb-jp.png",l="/GeometryOps.jl/dev/assets/cpjtgip.B94PsR1K.png",k="/GeometryOps.jl/dev/assets/haxqwpd.T7QiddIg.png",t="/GeometryOps.jl/dev/assets/bjjpnwy.CGuOBdTF.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n("",71),E=[e];function r(d,g,y,F,o,c){return a(),i("div",null,E)}const D=s(p,[["render",r]]);export{u as __pageData,D as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const h="/GeometryOps.jl/dev/assets/ihbnhiw.Bglvb-jp.png",l="/GeometryOps.jl/dev/assets/prkyiek.B94PsR1K.png",k="/GeometryOps.jl/dev/assets/jehsbsq.Ca53rWB_.png",t="/GeometryOps.jl/dev/assets/sbyddke.BQg609vq.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n("",71),E=[e];function r(d,g,y,F,o,c){return a(),i("div",null,E)}const D=s(p,[["render",r]]);export{u as __pageData,D as default};
diff --git a/dev/assets/source_transformations_transform.md.DW-rR35W.js b/dev/assets/source_transformations_transform.md.DzNIRGhW.js
similarity index 98%
rename from dev/assets/source_transformations_transform.md.DW-rR35W.js
rename to dev/assets/source_transformations_transform.md.DzNIRGhW.js
index 3620877dd..1f2d91c19 100644
--- a/dev/assets/source_transformations_transform.md.DW-rR35W.js
+++ b/dev/assets/source_transformations_transform.md.DzNIRGhW.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n(`
Pointwise transformation ​
julia
"""
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n(`
Pointwise transformation ​
julia
"""
     transform(f, obj)
 
 Apply a function \`f\` to all the points in \`obj\`.
@@ -29,7 +29,7 @@ import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const d
 rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing)
 \`\`\`
 
-With Rotations.jl you need to actuall multiply the Rotation
+With Rotations.jl you need to actually multiply the Rotation
 by the \`SVector\` point, which is easy using an anonymous function.
 
 \`\`\`julia
diff --git a/dev/assets/source_transformations_transform.md.DW-rR35W.lean.js b/dev/assets/source_transformations_transform.md.DzNIRGhW.lean.js
similarity index 73%
rename from dev/assets/source_transformations_transform.md.DW-rR35W.lean.js
rename to dev/assets/source_transformations_transform.md.DzNIRGhW.lean.js
index 8266513ca..d05750173 100644
--- a/dev/assets/source_transformations_transform.md.DW-rR35W.lean.js
+++ b/dev/assets/source_transformations_transform.md.DzNIRGhW.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n("",4),e=[l];function p(h,r,k,o,g,F){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{d as __pageData,y as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const d=JSON.parse('{"title":"Pointwise transformation","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/transform.md","filePath":"source/transformations/transform.md","lastUpdated":null}'),t={name:"source/transformations/transform.md"},l=n("",4),e=[l];function p(h,r,k,o,g,F){return a(),i("div",null,e)}const y=s(t,[["render",p]]);export{d as __pageData,y as default};
diff --git a/dev/assets/source_transformations_tuples.md.edr8CO-n.js b/dev/assets/source_transformations_tuples.md.ZfaVsRxE.js
similarity index 96%
rename from dev/assets/source_transformations_tuples.md.edr8CO-n.js
rename to dev/assets/source_transformations_tuples.md.ZfaVsRxE.js
index 79331bed3..9a7d29a48 100644
--- a/dev/assets/source_transformations_tuples.md.edr8CO-n.js
+++ b/dev/assets/source_transformations_tuples.md.ZfaVsRxE.js
@@ -1,4 +1,4 @@
-import{_ as s,c as a,o as n,a7 as i}from"./chunks/framework.B24clL9_.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i(`
Tuple conversion ​
julia
"""
+import{_ as s,c as a,o as n,a7 as i}from"./chunks/framework.CpnCegiD.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i(`
Tuple conversion ​
julia
"""
     tuples(obj)
 
 Convert all points in \`obj\` to \`Tuple\`s, wherever the are nested.
diff --git a/dev/assets/source_transformations_tuples.md.edr8CO-n.lean.js b/dev/assets/source_transformations_tuples.md.ZfaVsRxE.lean.js
similarity index 72%
rename from dev/assets/source_transformations_tuples.md.edr8CO-n.lean.js
rename to dev/assets/source_transformations_tuples.md.ZfaVsRxE.lean.js
index eefddcb37..c371940dc 100644
--- a/dev/assets/source_transformations_tuples.md.edr8CO-n.lean.js
+++ b/dev/assets/source_transformations_tuples.md.ZfaVsRxE.lean.js
@@ -1 +1 @@
-import{_ as s,c as a,o as n,a7 as i}from"./chunks/framework.B24clL9_.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i("",6),p=[t];function l(o,r,h,c,k,d){return n(),a("div",null,p)}const g=s(e,[["render",l]]);export{u as __pageData,g as default};
+import{_ as s,c as a,o as n,a7 as i}from"./chunks/framework.CpnCegiD.js";const u=JSON.parse('{"title":"Tuple conversion","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/tuples.md","filePath":"source/transformations/tuples.md","lastUpdated":null}'),e={name:"source/transformations/tuples.md"},t=i("",6),p=[t];function l(o,r,h,c,k,d){return n(),a("div",null,p)}const g=s(e,[["render",l]]);export{u as __pageData,g as default};
diff --git a/dev/assets/source_types.md.FZoqYnp-.js b/dev/assets/source_types.md.CpC4Xnr3.js
similarity index 99%
rename from dev/assets/source_types.md.FZoqYnp-.js
rename to dev/assets/source_types.md.CpC4Xnr3.js
index 2b320695e..1b90eab26 100644
--- a/dev/assets/source_types.md.FZoqYnp-.js
+++ b/dev/assets/source_types.md.CpC4Xnr3.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n(`
Types ​
This file defines some fundamental types used in GeometryOps.
Warning
Unlike in other Julia packages, only some types are defined in this file, not all. This is because we define types in the files where they are used, to make it easier to understand the code.
julia
export TraitTarget, GEOS
TraitTarget ​
This struct holds a trait parameter or a union of trait parameters. It's essentially a way to construct unions.
julia
"""
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n(`
Types ​
This file defines some fundamental types used in GeometryOps.
Warning
Unlike in other Julia packages, only some types are defined in this file, not all. This is because we define types in the files where they are used, to make it easier to understand the code.
julia
export TraitTarget, GEOS
TraitTarget ​
This struct holds a trait parameter or a union of trait parameters. It's essentially a way to construct unions.
julia
"""
     TraitTarget{T}
 
 This struct holds a trait parameter or a union of trait parameters.
diff --git a/dev/assets/source_types.md.FZoqYnp-.lean.js b/dev/assets/source_types.md.CpC4Xnr3.lean.js
similarity index 68%
rename from dev/assets/source_types.md.FZoqYnp-.lean.js
rename to dev/assets/source_types.md.CpC4Xnr3.lean.js
index 1ae68bc63..f67e3b2ec 100644
--- a/dev/assets/source_types.md.FZoqYnp-.lean.js
+++ b/dev/assets/source_types.md.CpC4Xnr3.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n("",27),l=[e];function p(h,k,r,d,o,g){return a(),i("div",null,l)}const E=s(t,[["render",p]]);export{y as __pageData,E as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Types","description":"","frontmatter":{},"headers":[],"relativePath":"source/types.md","filePath":"source/types.md","lastUpdated":null}'),t={name:"source/types.md"},e=n("",27),l=[e];function p(h,k,r,d,o,g){return a(),i("div",null,l)}const E=s(t,[["render",p]]);export{y as __pageData,E as default};
diff --git a/dev/assets/source_utils.md.HjHA-HQh.js b/dev/assets/source_utils.md.Czr5gCUE.js
similarity index 99%
rename from dev/assets/source_utils.md.HjHA-HQh.js
rename to dev/assets/source_utils.md.Czr5gCUE.js
index 54b9ddabd..fd1a90995 100644
--- a/dev/assets/source_utils.md.HjHA-HQh.js
+++ b/dev/assets/source_utils.md.Czr5gCUE.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n(`
Utility functions ​
julia
_is3d(geom)::Bool = _is3d(GI.trait(geom), geom)
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n(`
Utility functions ​
julia
_is3d(geom)::Bool = _is3d(GI.trait(geom), geom)
 _is3d(::GI.AbstractGeometryTrait, geom)::Bool = GI.is3d(geom)
 _is3d(::GI.FeatureTrait, feature)::Bool = _is3d(GI.geometry(feature))
 _is3d(::GI.FeatureCollectionTrait, fc)::Bool = _is3d(GI.getfeature(fc, 1))
diff --git a/dev/assets/source_utils.md.HjHA-HQh.lean.js b/dev/assets/source_utils.md.Czr5gCUE.lean.js
similarity index 69%
rename from dev/assets/source_utils.md.HjHA-HQh.lean.js
rename to dev/assets/source_utils.md.Czr5gCUE.lean.js
index 2ca61425e..e2e0bf3e8 100644
--- a/dev/assets/source_utils.md.HjHA-HQh.lean.js
+++ b/dev/assets/source_utils.md.Czr5gCUE.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.B24clL9_.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n("",8),l=[p];function h(k,e,r,F,g,d){return a(),i("div",null,l)}const o=s(t,[["render",h]]);export{y as __pageData,o as default};
+import{_ as s,c as i,o as a,a7 as n}from"./chunks/framework.CpnCegiD.js";const y=JSON.parse('{"title":"Utility functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/utils.md","filePath":"source/utils.md","lastUpdated":null}'),t={name:"source/utils.md"},p=n("",8),l=[p];function h(k,e,r,F,g,d){return a(),i("div",null,l)}const o=s(t,[["render",h]]);export{y as __pageData,o as default};
diff --git a/dev/assets/gotqnrr.lu4jwpi-.png b/dev/assets/tgxocmm.lu4jwpi-.png
similarity index 100%
rename from dev/assets/gotqnrr.lu4jwpi-.png
rename to dev/assets/tgxocmm.lu4jwpi-.png
diff --git a/dev/assets/tutorials_creating_geometry.md.Dpft0-QP.lean.js b/dev/assets/tutorials_creating_geometry.md.Dpft0-QP.lean.js
deleted file mode 100644
index 4edb8bf50..000000000
--- a/dev/assets/tutorials_creating_geometry.md.Dpft0-QP.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const t="/GeometryOps.jl/dev/assets/qkrpuin.Dz86q2IX.png",n="/GeometryOps.jl/dev/assets/kvzfeag.Cx40vhB3.png",l="/GeometryOps.jl/dev/assets/vtsevil.0OJvb21A.png",p="/GeometryOps.jl/dev/assets/hbkqfhf.DaovVbE6.png",h="/GeometryOps.jl/dev/assets/wpfwfat.B9NpLJr_.png",o="/GeometryOps.jl/dev/assets/fxutssm.CG4dr3Lx.png",k="/GeometryOps.jl/dev/assets/xizbhxl.3sfpQl2i.png",r="/GeometryOps.jl/dev/assets/zkusagc.Dab1-ETk.png",g="/GeometryOps.jl/dev/assets/gotqnrr.lu4jwpi-.png",d="/GeometryOps.jl/dev/assets/chjhvry.DwqDxlAG.png",E="/GeometryOps.jl/dev/assets/nuutrqs.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e("",120),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const N=s(c,[["render",u]]);export{D as __pageData,N as default};
diff --git a/dev/assets/tutorials_creating_geometry.md.Dpft0-QP.js b/dev/assets/tutorials_creating_geometry.md.k23w5UdQ.js
similarity index 98%
rename from dev/assets/tutorials_creating_geometry.md.Dpft0-QP.js
rename to dev/assets/tutorials_creating_geometry.md.k23w5UdQ.js
index 1c90c40cd..3dc363092 100644
--- a/dev/assets/tutorials_creating_geometry.md.Dpft0-QP.js
+++ b/dev/assets/tutorials_creating_geometry.md.k23w5UdQ.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const t="/GeometryOps.jl/dev/assets/qkrpuin.Dz86q2IX.png",n="/GeometryOps.jl/dev/assets/kvzfeag.Cx40vhB3.png",l="/GeometryOps.jl/dev/assets/vtsevil.0OJvb21A.png",p="/GeometryOps.jl/dev/assets/hbkqfhf.DaovVbE6.png",h="/GeometryOps.jl/dev/assets/wpfwfat.B9NpLJr_.png",o="/GeometryOps.jl/dev/assets/fxutssm.CG4dr3Lx.png",k="/GeometryOps.jl/dev/assets/xizbhxl.3sfpQl2i.png",r="/GeometryOps.jl/dev/assets/zkusagc.Dab1-ETk.png",g="/GeometryOps.jl/dev/assets/gotqnrr.lu4jwpi-.png",d="/GeometryOps.jl/dev/assets/chjhvry.DwqDxlAG.png",E="/GeometryOps.jl/dev/assets/nuutrqs.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.CpnCegiD.js";const t="/GeometryOps.jl/dev/assets/ksxutwl.Dz86q2IX.png",n="/GeometryOps.jl/dev/assets/anpauvw.Cx40vhB3.png",l="/GeometryOps.jl/dev/assets/wecdjri.0OJvb21A.png",p="/GeometryOps.jl/dev/assets/kssggsd.DaovVbE6.png",h="/GeometryOps.jl/dev/assets/bvuwypa.B9NpLJr_.png",o="/GeometryOps.jl/dev/assets/bawalzh.CG4dr3Lx.png",k="/GeometryOps.jl/dev/assets/vmgxabz.3sfpQl2i.png",r="/GeometryOps.jl/dev/assets/futqezz.Dab1-ETk.png",g="/GeometryOps.jl/dev/assets/tgxocmm.lu4jwpi-.png",d="/GeometryOps.jl/dev/assets/fktvlcp.DwqDxlAG.png",E="/GeometryOps.jl/dev/assets/kcnoiau.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
@@ -48,7 +48,7 @@ import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const t
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 multipolygon = GO.transform(f, multipolygon);
 plot!(multipolygon)
-fig
Great, now we can make Points, MultiPoints, Lines, LineStrings, Polygons (with holes), and MultiPolygons and modify them using [CoordinateTransformations] and [GeometryOps].
Plot geometries on a map using GeoMakie and coordinate reference system (CRS) ​
In geospatial sciences we often have data in one Coordinate Reference System (CRS) (source) and would like to display it in different (destination) CRS. GeoMakie allows us to do this by automatically projecting from source to destination CRS.
Here, our source CRS is common geographic (i.e. coordinates of latitude and longitude), WGS84.
julia
source_crs1 = GFT.EPSG(4326)
GeoFormatTypes.EPSG{1}((4326,))
Now let's pick a destination CRS for displaying our map. Here we'll pick natearth2.
julia
destination_crs = "+proj=natearth2"
"+proj=natearth2"
Let's add land area for context. First, download and open the Natural Earth global land polygons at 110 m resolution.GeoMakie ships with this particular dataset, so we will access it from there.
julia
land_path = GeoMakie.assetpath("ne_110m_land.geojson")
"/home/runner/.julia/packages/GeoMakie/nOel0/assets/ne_110m_land.geojson"
Note
Natural Earth has lots of other datasets, and there is a Julia package that provides an interface to it called NaturalEarth.jl.
Read the land MultiPolygons as a GeoJSON.FeatureCollection.
julia
land_geo = GeoJSON.read(land_path)
FeatureCollection with 127 Features
We then need to create a figure with a GeoAxis that can handle the projection between source and destinaton CRS. For GeoMakie, source is the CRS of the input and dest is the CRS you want to visualize in.
julia
fig = Figure(size=(1000, 500));
+fig
Great, now we can make Points, MultiPoints, Lines, LineStrings, Polygons (with holes), and MultiPolygons and modify them using [CoordinateTransformations] and [GeometryOps].
Plot geometries on a map using GeoMakie and coordinate reference system (CRS) ​
In geospatial sciences we often have data in one Coordinate Reference System (CRS) (source) and would like to display it in different (destination) CRS. GeoMakie allows us to do this by automatically projecting from source to destination CRS.
Here, our source CRS is common geographic (i.e. coordinates of latitude and longitude), WGS84.
julia
source_crs1 = GFT.EPSG(4326)
GeoFormatTypes.EPSG{1}((4326,))
Now let's pick a destination CRS for displaying our map. Here we'll pick natearth2.
julia
destination_crs = "+proj=natearth2"
"+proj=natearth2"
Let's add land area for context. First, download and open the Natural Earth global land polygons at 110 m resolution.GeoMakie ships with this particular dataset, so we will access it from there.
julia
land_path = GeoMakie.assetpath("ne_110m_land.geojson")
"/home/runner/.julia/packages/GeoMakie/HExpB/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,
@@ -72,7 +72,7 @@ import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.B24clL9_.js";const t
 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);
-ring4 = GI.LinearRing(Point.(zip(x, y)))
GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[21.0, 0.0], [21.00839489109211, 0.00025191811248184703], [21.033518309870985, 0.0020133807972559925], [21.075186885419612, 0.006784125578492062], [21.13309630561615, 0.016044338630866517], [21.206823267470536, 0.031245035570328428], [21.29582819010705, 0.053798628882221644], [21.39945867303846, 0.08506974233813636], [21.516953677609987, 0.12636633117296836], [21.64744840486518, 0.17893116483784577]  …  [21.69159119078359, -0.19823293781563178], [21.557153362189904, -0.14182952335952814], [21.43541888381864, -0.09707519809793252], [21.327284472232776, -0.06274967861547665], [21.233544778745394, -0.03756486776283019], [21.15488729606723, -0.020173244847778715], [21.091887951911644, -0.0091766360295773], [21.045007417743918, -0.0031353088009582475], [21.01458815628695, -0.0005773323690041465], [21.00085222666982, -8.14404531208901e-6]], nothing, nothing)
But this time when we create the Polygon we beed to specify the CRS at the time of creation, making it a geospatial polygon
julia
geopoly1 = GI.Polygon([ring4], crs = source_crs1)
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}}, Nothing, GeoFormatTypes.EPSG{1}}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[21.0, 0.0], [21.00839489109211, 0.00025191811248184703], [21.033518309870985, 0.0020133807972559925], [21.075186885419612, 0.006784125578492062], [21.13309630561615, 0.016044338630866517], [21.206823267470536, 0.031245035570328428], [21.29582819010705, 0.053798628882221644], [21.39945867303846, 0.08506974233813636], [21.516953677609987, 0.12636633117296836], [21.64744840486518, 0.17893116483784577]  …  [21.69159119078359, -0.19823293781563178], [21.557153362189904, -0.14182952335952814], [21.43541888381864, -0.09707519809793252], [21.327284472232776, -0.06274967861547665], [21.233544778745394, -0.03756486776283019], [21.15488729606723, -0.020173244847778715], [21.091887951911644, -0.0091766360295773], [21.045007417743918, -0.0031353088009582475], [21.01458815628695, -0.0005773323690041465], [21.00085222666982, -8.14404531208901e-6]], nothing, nothing)], nothing, GeoFormatTypes.EPSG{1}((4326,)))
Note
It is good practice to only include CRS information with the highest-level geometry. Not doing so can bloat the memory footprint of the geometry. CRS information can be included at the individual Point level but is discouraged.
And let's create second Polygon by shifting the first using CoordinateTransformations
julia
xoffset = 20.;
+ring4 = GI.LinearRing(Point.(zip(x, y)))
GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[21.0, 0.0], [21.00839489109211, 0.00025191811248184703], [21.033518309870985, 0.0020133807972559925], [21.075186885419612, 0.006784125578492062], [21.13309630561615, 0.016044338630866517], [21.206823267470536, 0.031245035570328428], [21.29582819010705, 0.053798628882221644], [21.39945867303846, 0.08506974233813636], [21.516953677609987, 0.12636633117296836], [21.64744840486518, 0.17893116483784577]  …  [21.69159119078359, -0.19823293781563178], [21.557153362189904, -0.14182952335952814], [21.43541888381864, -0.09707519809793252], [21.327284472232776, -0.06274967861547665], [21.233544778745394, -0.03756486776283019], [21.15488729606723, -0.020173244847778715], [21.091887951911644, -0.0091766360295773], [21.045007417743918, -0.0031353088009582475], [21.01458815628695, -0.0005773323690041465], [21.00085222666982, -8.14404531208901e-6]], nothing, nothing)
But this time when we create the Polygon we need to specify the CRS at the time of creation, making it a geospatial polygon
julia
geopoly1 = GI.Polygon([ring4], crs = source_crs1)
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}}, Nothing, GeoFormatTypes.EPSG{1}}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[21.0, 0.0], [21.00839489109211, 0.00025191811248184703], [21.033518309870985, 0.0020133807972559925], [21.075186885419612, 0.006784125578492062], [21.13309630561615, 0.016044338630866517], [21.206823267470536, 0.031245035570328428], [21.29582819010705, 0.053798628882221644], [21.39945867303846, 0.08506974233813636], [21.516953677609987, 0.12636633117296836], [21.64744840486518, 0.17893116483784577]  …  [21.69159119078359, -0.19823293781563178], [21.557153362189904, -0.14182952335952814], [21.43541888381864, -0.09707519809793252], [21.327284472232776, -0.06274967861547665], [21.233544778745394, -0.03756486776283019], [21.15488729606723, -0.020173244847778715], [21.091887951911644, -0.0091766360295773], [21.045007417743918, -0.0031353088009582475], [21.01458815628695, -0.0005773323690041465], [21.00085222666982, -8.14404531208901e-6]], nothing, nothing)], nothing, GeoFormatTypes.EPSG{1}((4326,)))
Note
It is good practice to only include CRS information with the highest-level geometry. Not doing so can bloat the memory footprint of the geometry. CRS information can be included at the individual Point level but is discouraged.
And let's create second Polygon by shifting the first using CoordinateTransformations
julia
xoffset = 20.;
 yoffset = -25.;
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 geopoly2 = GO.transform(f, geopoly1);
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, GeoFormatTypes.EPSG{1}}}, Nothing, GeoFormatTypes.EPSG{1}}(GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, GeoFormatTypes.EPSG{1}}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, GeoFormatTypes.EPSG{1}}(StaticArraysCore.SVector{2, Float64}[[41.0, -25.0], [41.00839489109211, -24.999748081887518], [41.033518309870985, -24.997986619202745], [41.07518688541961, -24.99321587442151], [41.13309630561615, -24.983955661369134], [41.20682326747054, -24.96875496442967], [41.295828190107045, -24.946201371117777], [41.39945867303846, -24.914930257661865], [41.51695367760999, -24.873633668827033], [41.64744840486518, -24.821068835162155]  …  [41.69159119078359, -25.198232937815632], [41.55715336218991, -25.14182952335953], [41.43541888381864, -25.097075198097933], [41.327284472232776, -25.062749678615475], [41.2335447787454, -25.037564867762832], [41.15488729606723, -25.02017324484778], [41.091887951911644, -25.009176636029576], [41.04500741774392, -25.003135308800957], [41.01458815628695, -25.000577332369005], [41.00085222666982, -25.000008144045314]], nothing, GeoFormatTypes.EPSG{1}((4326,)))], nothing, GeoFormatTypes.EPSG{1}((4326,)))
Creating a table with attributes and geometry ​
Typically, you'll also want to include attributes with your geometries. Attributes are simply data that are attributed to each geometry. The easiest way to do this is to create a table with a :geometry column. Let's do this using DataFrames.
julia
using DataFrames
diff --git a/dev/assets/tutorials_creating_geometry.md.k23w5UdQ.lean.js b/dev/assets/tutorials_creating_geometry.md.k23w5UdQ.lean.js
new file mode 100644
index 000000000..01a1c9639
--- /dev/null
+++ b/dev/assets/tutorials_creating_geometry.md.k23w5UdQ.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a7 as e}from"./chunks/framework.CpnCegiD.js";const t="/GeometryOps.jl/dev/assets/ksxutwl.Dz86q2IX.png",n="/GeometryOps.jl/dev/assets/anpauvw.Cx40vhB3.png",l="/GeometryOps.jl/dev/assets/wecdjri.0OJvb21A.png",p="/GeometryOps.jl/dev/assets/kssggsd.DaovVbE6.png",h="/GeometryOps.jl/dev/assets/bvuwypa.B9NpLJr_.png",o="/GeometryOps.jl/dev/assets/bawalzh.CG4dr3Lx.png",k="/GeometryOps.jl/dev/assets/vmgxabz.3sfpQl2i.png",r="/GeometryOps.jl/dev/assets/futqezz.Dab1-ETk.png",g="/GeometryOps.jl/dev/assets/tgxocmm.lu4jwpi-.png",d="/GeometryOps.jl/dev/assets/fktvlcp.DwqDxlAG.png",E="/GeometryOps.jl/dev/assets/kcnoiau.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e("",120),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const N=s(c,[["render",u]]);export{D as __pageData,N as default};
diff --git a/dev/assets/tutorials_spatial_joins.md.DVpey7LA.js b/dev/assets/tutorials_spatial_joins.md.CcDuRcBC.js
similarity index 99%
rename from dev/assets/tutorials_spatial_joins.md.DVpey7LA.js
rename to dev/assets/tutorials_spatial_joins.md.CcDuRcBC.js
index 6c9d59570..64cc7553f 100644
--- a/dev/assets/tutorials_spatial_joins.md.DVpey7LA.js
+++ b/dev/assets/tutorials_spatial_joins.md.CcDuRcBC.js
@@ -1,4 +1,4 @@
-import{_ as h,c as a,j as s,a as i,a7 as n,o as t}from"./chunks/framework.B24clL9_.js";const e="/GeometryOps.jl/dev/assets/svnamec.3UVIT8DR.png",l="/GeometryOps.jl/dev/assets/ghuyiqw.ntn85YF1.png",p="/GeometryOps.jl/dev/assets/ozfobmp.CdEPS9bT.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n('',1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n(`
Spatial joins can be done between any geometry types (from geometrycollections to points), just as geometrical predicates can be evaluated on any geometries.
In this tutorial, we will show how to perform a spatial join on first a toy dataset and then two Natural Earth datasets, to show how this can be used in the real world.
In order to perform the spatial join, we use FlexiJoins.jl to perform the join, specifically using its by_pred joining method. This allows the user to specify a predicate in the following manner:
julia
[inner/left/right/outer/...]join((table1, table1),
+import{_ as h,c as a,j as s,a as i,a7 as n,o as t}from"./chunks/framework.CpnCegiD.js";const e="/GeometryOps.jl/dev/assets/wjmfxnc.3UVIT8DR.png",l="/GeometryOps.jl/dev/assets/uugsbqm.CgeJoG2G.png",p="/GeometryOps.jl/dev/assets/usyjtvi.CKZ1zuzD.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n('',1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n(`
Spatial joins can be done between any geometry types (from geometrycollections to points), just as geometrical predicates can be evaluated on any geometries.
In this tutorial, we will show how to perform a spatial join on first a toy dataset and then two Natural Earth datasets, to show how this can be used in the real world.
In order to perform the spatial join, we use FlexiJoins.jl to perform the join, specifically using its by_pred joining method. This allows the user to specify a predicate in the following manner:
julia
[inner/left/right/outer/...]join((table1, table1),
     by_pred(:table1_column, predicate_function, :table2_column) # & add other conditions here
 )
We have enabled the use of all of GeometryOps' boolean comparisons here. These are:
julia
GO.contains, GO.within, GO.intersects, GO.touches, GO.crosses, GO.disjoint, GO.overlaps, GO.covers, GO.coveredby, GO.equals
Tip
Always place the dataframe with more complex geometries second, as that is the one which will be sorted into a tree.
Simple example ​
This example demonstrates how to perform a spatial join between two datasets: a set of polygons and a set of randomly generated points.
The polygons are represented as a DataFrame with geometries and colors, while the points are stored in a separate DataFrame.
The spatial join is performed using the contains predicate from GeometryOps, which checks if each point is contained within any of the polygons. The resulting joined DataFrame is then used to plot the points, colored according to the containing polygon.
First, we generate our data. We create two triangle polygons which, together, span the rectangle (0, 0, 1, 1), and a set of points which are randomly distributed within this rectangle.
julia
import GeoInterface as GI, GeometryOps as GO
 using FlexiJoins, DataFrames
diff --git a/dev/assets/tutorials_spatial_joins.md.DVpey7LA.lean.js b/dev/assets/tutorials_spatial_joins.md.CcDuRcBC.lean.js
similarity index 91%
rename from dev/assets/tutorials_spatial_joins.md.DVpey7LA.lean.js
rename to dev/assets/tutorials_spatial_joins.md.CcDuRcBC.lean.js
index b54c02386..b18166c1e 100644
--- a/dev/assets/tutorials_spatial_joins.md.DVpey7LA.lean.js
+++ b/dev/assets/tutorials_spatial_joins.md.CcDuRcBC.lean.js
@@ -1 +1 @@
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@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
@@ -24,7 +24,7 @@
 using NaturalEarth
 
 all_adm0 = naturalearth("admin_0_countries", 10)
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
FeatureCollection with 258 Features
julia
GO.area(all_adm0)
21427.909318372607
julia
AccurateArithmetic.sum_oro(GO.area.(all_adm0.geometry))
21427.909318372607
julia
AccurateArithmetic.sum_kbn(GO.area.(all_adm0.geometry))
21427.909318372607
julia
GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum
-21427.90063612163
julia
GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_oro
-21427.90063612163
@example accurate GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_kbn ```
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.
20th April, 2024 ​
- + \ No newline at end of file diff --git a/dev/experiments/predicates.html b/dev/experiments/predicates.html index a13b75596..1e0e38d5d 100644 --- a/dev/experiments/predicates.html +++ b/dev/experiments/predicates.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -59,7 +59,7 @@ display(fig) end resize!(fig, 1000, 450) -fig

Dashboard ​

julia
using WGLMakie
+fig

Dashboard ​

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

Incircle ​

- + \ No newline at end of file diff --git a/dev/explanations/crs.html b/dev/explanations/crs.html index c332daec6..8fee412c2 100644 --- a/dev/explanations/crs.html +++ b/dev/explanations/crs.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

- + \ No newline at end of file diff --git a/dev/explanations/paradigms.html b/dev/explanations/paradigms.html index 15284376f..6ce35c68c 100644 --- a/dev/explanations/paradigms.html +++ b/dev/explanations/paradigms.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

Paradigms ​

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

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

apply ​

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

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

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

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

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

applyreduce ​

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

fix and prepare ​

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

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

- + \ No newline at end of file diff --git a/dev/explanations/peculiarities.html b/dev/explanations/peculiarities.html index 765f38271..020014a5e 100644 --- a/dev/explanations/peculiarities.html +++ b/dev/explanations/peculiarities.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

Peculiarities ​

What does apply return and why? ​

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

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

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

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

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

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

_True and _False (or BoolsAsTypes) ​

Warning

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

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

- + \ No newline at end of file diff --git a/dev/explanations/winding_order.html b/dev/explanations/winding_order.html index 096c41a3f..78261938b 100644 --- a/dev/explanations/winding_order.html +++ b/dev/explanations/winding_order.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

- + \ No newline at end of file diff --git a/dev/hashmap.json b/dev/hashmap.json index 5c067df66..d2b6aa76f 100644 --- a/dev/hashmap.json +++ b/dev/hashmap.json @@ -1 +1 @@ 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diff --git a/dev/index.html b/dev/index.html index 58426896b..03eef268b 100644 --- a/dev/index.html +++ b/dev/index.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

GeometryOps.jl

Blazing fast geometry operations in pure Julia

Introduction
View on Github
API Reference
GeometryOps
Julia code

Pure Julia code

Fast, understandable, extensible functions

Literate programming

Documented source code with examples!

Full integration with GeoInterface

Use any GeoInterface.jl-compatible geometry

What is GeometryOps.jl? ​

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

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

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

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

How to navigate the docs ​

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

  • Tutorials are meant to teach the fundamental concepts behind GeometryOps, and how to perform certain operations.
  • Explanations usually contain little code, and explain in more detail how GeometryOps works.
  • Source code usually contains explanations and examples at the top of the page, followed by annotated source code from that file.
- + \ No newline at end of file diff --git a/dev/introduction.html b/dev/introduction.html index ae8d8d965..0d519a09a 100644 --- a/dev/introduction.html +++ b/dev/introduction.html @@ -8,18 +8,18 @@ - + - - - + + +
GeometryOps.jl

Appearance

Introduction ​

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

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

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

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

Main concepts ​

The apply paradigm ​

Note

See the Primitive Functions page for more information on this.

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

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

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

What's this GeoInterface.Wrapper thing? ​

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

- + \ No newline at end of file diff --git a/dev/source/GeometryOps.html b/dev/source/GeometryOps.html index e13424229..b4b748cb4 100644 --- a/dev/source/GeometryOps.html +++ b/dev/source/GeometryOps.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -90,7 +90,7 @@ end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/angles.html b/dev/source/methods/angles.html index 5e03ad61d..947ddafb0 100644 --- a/dev/source/methods/angles.html +++ b/dev/source/methods/angles.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -23,7 +23,7 @@ using Makie, CairoMakie rect = GI.Polygon([[(0.0, 0.0), (0.0, 1.0), (1.0, 1.0), (1.0, 0.0), (0.0, 0.0)]]) -f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

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

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

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

julia
GO.angles(rect)  # [90, 90, 90, 90]
4-element Vector{Float64}:
  90.0
  90.0
  90.0
@@ -38,7 +38,7 @@
     - 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 polygin is a vector of vectors of angles formed by each ring.
+    - 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.
 
@@ -79,7 +79,7 @@
 end
 
 #= The angles of a polygon is a vector of polygon angles. Note that if there are holes
-within the polyogn, the angles will be listed after the exterior ring angles in order of the
+within the polygon, the angles will be listed after the exterior ring angles in order of the
 holes. All angles, including the hole angles, are interior angles of the polygon.=#
 function _angles(::Type{T}, ::GI.PolygonTrait, geom) where T
     angles = _angles(T, GI.LinearRingTrait(), GI.getexterior(geom); interior = true)
@@ -142,7 +142,7 @@
     angle = real(acos(val) * 180 / π)
     return angle * (cross_prod < 0 ? -1 : 1)
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/area.html b/dev/source/methods/area.html index 9c5be2a37..e9c9587fd 100644 --- a/dev/source/methods/area.html +++ b/dev/source/methods/area.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -24,10 +24,10 @@ using CairoMakie rect = GI.Polygon([[(0,0), (0,1), (1,1), (1,0), (0, 0)]]) -f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

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

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

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

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

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

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

Implementation ​

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

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

Targets for applys functions

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

The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a 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
@@ -55,7 +55,7 @@
     signed_area(geom, [T = Float64])::T
 
 Returns the signed area of a single geometry, based on winding order.
-This is computed slighly differently for different geometries:
+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.
@@ -105,7 +105,7 @@
     area += _area_component(p1, p2)
     return T(area / 2)
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/barycentric.html b/dev/source/methods/barycentric.html index 120c71e39..555861c01 100644 --- a/dev/source/methods/barycentric.html +++ b/dev/source/methods/barycentric.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -85,7 +85,7 @@ # and render! hm = heatmap!(a2, xrange, yrange, mean_values; colormap = p1.colormap, colorrange = p1.plots[1].colorrange[], xautolimits = false, yautolimits = false) translate!(hm, 0, 0, -1) # translate the heatmap behind the cropping polygon! -f # finally, display the figure

Barycentric-coordinate API ​

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

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

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

Barycentric-coordinate API ​

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

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/buffer.html b/dev/source/methods/buffer.html index d4d4ef7a5..b71aead31 100644 --- a/dev/source/methods/buffer.html +++ b/dev/source/methods/buffer.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ println(io, " in your REPL, \nor otherwise loading LibGEOS.jl via using or import.") end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/centroid.html b/dev/source/methods/centroid.html index cfc0f0804..e4dfe1b07 100644 --- a/dev/source/methods/centroid.html +++ b/dev/source/methods/centroid.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -24,9 +24,9 @@ using CairoMakie cshape = GI.Polygon([[(0,0), (0,3), (3,3), (3,2), (1,2), (1,1), (3,1), (3,0), (0,0)]]) -f, a, p = poly(collect(GI.getpoint(cshape)); axis = (; aspect = DataAspect()))

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

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

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

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

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

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

julia
"""
+f

Implementation ​

This is the GeoInterface-compatible implementation.

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

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

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/clipping_processor.html b/dev/source/methods/clipping/clipping_processor.html index e050542c1..bd67bac5e 100644 --- a/dev/source/methods/clipping/clipping_processor.html +++ b/dev/source/methods/clipping/clipping_processor.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -52,7 +52,7 @@ _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)
 
     return a_list, b_list, a_idx_list
-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 indicies 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 indicies 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(::Type{T}, poly_a, poly_b; exact) where T
     n_a_edges = _nedge(poly_a)
     a_list = PolyNode{T}[]  # list of points in poly_a
     sizehint!(a_list, n_a_edges)
@@ -125,7 +125,7 @@
         a_pt1 = a_pt2
     end
     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 neightbor 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(::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)
     n_intr_pts = length(a_idx_list)
     b_list = PolyNode{T}[]
     sizehint!(b_list, n_b_edges + n_b_intrs)
@@ -412,7 +412,7 @@
     end
     return return_polys
 end

Get type of polygons that will be made TODO: Increase type options

julia
_get_poly_type(::Type{T}) where T =
-    GI.Polygon{false, false, Vector{GI.LinearRing{false, false, Vector{Tuple{T, T}}, Nothing, Nothing}}, Nothing, Nothing}
_find_non_cross_orientation(a_list, b_list, a_poly, b_poly; exact)

For polygns with no crossing intersection points, either one polygon is inside of another, or they are seperate polygons with no intersection (other than an edge or point).

Return two booleans that represent if a is inside b (potentially with shared edges / points) and visa versa if b is inside of a.

julia
function _find_non_cross_orientation(a_list, b_list, a_poly, b_poly; exact)
+    GI.Polygon{false, false, Vector{GI.LinearRing{false, false, Vector{Tuple{T, T}}, Nothing, Nothing}}, Nothing, Nothing}
_find_non_cross_orientation(a_list, b_list, a_poly, b_poly; exact)

For polygons with no crossing intersection points, either one polygon is inside of another, or they are separate polygons with no intersection (other than an edge or point).

Return two booleans that represent if a is inside b (potentially with shared edges / points) and visa versa if b is inside of a.

julia
function _find_non_cross_orientation(a_list, b_list, a_poly, b_poly; exact)
     non_intr_a_idx = findfirst(x -> !x.inter, a_list)
     non_intr_b_idx = findfirst(x -> !x.inter, b_list)
     #= Determine if non-intersection point is in or outside of polygon - if there isn't A
@@ -439,7 +439,7 @@
                         append!(remove_poly_idx, falses(n_new_pieces))
                         n_new_per_poly += n_new_pieces
                     end
-                    if !on_ext && !out_ext  # hole is completly within exterior
+                    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())
@@ -450,7 +450,7 @@
                             append!(remove_poly_idx, falses(n_new_polys))
                             n_new_per_poly += n_new_polys
                         end
-                    end

polygon is completly within hole

julia
                elseif coveredby(curr_poly_ext, GI.Polygon(StaticArrays.SVector(curr_hole)))
+                    end

polygon is completely within hole

julia
                elseif coveredby(curr_poly_ext, GI.Polygon(StaticArrays.SVector(curr_hole)))
                     remove_poly_idx[j] = true
                 end
             end
@@ -458,7 +458,7 @@
         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 orignal 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!(::Type{T}, new_hole, curr_poly, return_polys, remove_hole_idx) where T
     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))
@@ -502,7 +502,7 @@
                     p2 = p
                     continue
                 else
-                    p3 = p

check if p2 is approximatly 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

julia
                    if Predicates.orient(p1, p2, p3; exact = _False()) == 0
                         remove_idx[i - 1] = true
                     end
                 end
@@ -525,7 +525,7 @@
     end
     return
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/coverage.html b/dev/source/methods/clipping/coverage.html index d8185c781..042c0cff5 100644 --- a/dev/source/methods/clipping/coverage.html +++ b/dev/source/methods/clipping/coverage.html @@ -8,17 +8,17 @@ - + - - - + + + -
GeometryOps.jl

Appearance

julia
export coverage

What is coverage? ​

Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordiantes of that bounding box, or an Extent containing that information.

To provide an example, consider this rectangle:

julia
import GeometryOps as GO
+    
GeometryOps.jl
Appearance
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
@@ -28,7 +28,7 @@
 xmin, xmax, ymin, ymax = 0, 2, 0, 2
 f, a, p = poly(collect(GI.getpoint(cell)); axis = (; aspect = DataAspect()))
 poly!(collect(GI.getpoint(rect)))
-f
It is clear that half of the polygon is within the cell, so the coverage should be 1.0, half of the area of the rectangle.
julia
GO.coverage(rect, xmin, xmax, ymin, ymax)
1.0
Implementation ​
This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that the coverage is zero for all points and curves, even if the curves are closed like with a linear ring.
Targets for applys functions
julia
const _COVERAGE_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
Wall types for coverage
julia
const UNKNOWN, NORTH, EAST, SOUTH, WEST = 0:4
+f
It is clear that half of the polygon is within the cell, so the coverage should be 1.0, half of the area of the rectangle.
julia
GO.coverage(rect, xmin, xmax, ymin, ymax)
1.0
Implementation ​
This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that the coverage is zero for all points and curves, even if the curves are closed like with a linear ring.
Targets for applys functions
julia
const _COVERAGE_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
Wall types for coverage
julia
const UNKNOWN, NORTH, EAST, SOUTH, WEST = 0:4
 
 """
     coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T
@@ -241,7 +241,7 @@
     y_wall = (wall == NORTH || wall == WEST) ? ymax : ymin
     return x1 * y_wall - x_wall * y1
 end
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/dev/source/methods/clipping/cut.html b/dev/source/methods/clipping/cut.html
index 200634d84..7b036ec42 100644
--- a/dev/source/methods/clipping/cut.html
+++ b/dev/source/methods/clipping/cut.html
@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
@@ -29,7 +29,7 @@
 f, a, p1 = Makie.poly(collect(GI.getpoint(cut_polys[1])); color = (:blue, 0.5))
 Makie.poly!(collect(GI.getpoint(cut_polys[2])); color = (:orange, 0.5))
 Makie.lines!(GI.getpoint(line); color = :black)
-f

Implementation ​

This function depends on polygon clipping helper function and is inspired by the Greiner-Hormann clipping algorithm used elsewhere in this library. The inspiration came from this Stack Overflow discussion.

julia
"""
+f

Implementation ​

This function depends on polygon clipping helper function and is inspired by the Greiner-Hormann clipping algorithm used elsewhere in this library. The inspiration came from this Stack Overflow discussion.

julia
"""
     cut(geom, line, [T::Type])
 
 Return given geom cut by given line as a list of geometries of the same type as the input
@@ -79,7 +79,7 @@
 of cut geometry in Vector{Vector{Tuple}} format.
 
 Note: degenerate cases where intersection points are vertices do not work right now. =#
-function _cut(::Type{T}, geom, line, geom_list, intr_list, n_intr_pts; exact) where T

Sort and catagorize the intersection points

julia
    sort!(intr_list, by = x -> geom_list[x].fracs[2])
+function _cut(::Type{T}, geom, line, geom_list, intr_list, n_intr_pts; exact) where T

Sort and categorize the intersection points

julia
    sort!(intr_list, by = x -> geom_list[x].fracs[2])
     _flag_ent_exit!(GI.LineTrait(), line, geom_list; exact)

Add first point to output list

julia
    return_coords = [[geom_list[1].point]]
     cross_backs = [(T(Inf),T(Inf))]
     poly_idx = 1
@@ -105,7 +105,7 @@
     end
     return return_coords
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/difference.html b/dev/source/methods/clipping/difference.html index 3018bd0f2..436d48404 100644 --- a/dev/source/methods/clipping/difference.html +++ b/dev/source/methods/clipping/difference.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -87,7 +87,7 @@ append!(polys, new_polys) end end - end

Remove uneeded 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!(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
@@ -146,7 +146,7 @@
 #= Multipolygon with multipolygon difference - note that all intersection regions between
 sub-polygons of `multipoly_a` and sub-polygons of `multipoly_b` will be removed from the
 corresponding sub-polygon of `multipoly_a`. Unless specified with `fix_multipoly = nothing`,
-`multipolygon_a` will be validated using the given (defauly is `UnionIntersectingPolygons()`)
+`multipolygon_a` will be validated using the given (default is `UnionIntersectingPolygons()`)
 correction. =#
 function _difference(
     target::TraitTarget{GI.PolygonTrait}, ::Type{T},
@@ -168,7 +168,7 @@
         else
             difference(GI.MultiPolygon(polys), poly_b; target, fix_multipoly)
         end
-        #= One multipoly_a has been completly covered (and thus removed) there is no need to
+        #= One multipoly_a has been completely covered (and thus removed) there is no need to
         continue taking the difference =#
         isempty(polys) && break
     end
@@ -184,7 +184,7 @@
     )
     return nothing
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/intersection.html b/dev/source/methods/clipping/intersection.html index 4a4df6bee..4b6626764 100644 --- a/dev/source/methods/clipping/intersection.html +++ b/dev/source/methods/clipping/intersection.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -24,7 +24,7 @@ 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` (colinear with the curve), or `line_out` (not interacting with the curve). +`line_over` (collinear with the curve), or `line_out` (not interacting with the curve). """ @enum LineOrientation line_cross=1 line_hinge=2 line_over=3 line_out=4 @@ -92,7 +92,7 @@ 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 uneeded 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!(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
@@ -129,7 +129,7 @@
 end
 
 #= Multipolygon with polygon intersection is equivalent to taking the intersection of the
-poylgon with the multipolygon and thus simply switches the order of operations and calls the
+polygon with the multipolygon and thus simply switches the order of operations and calls the
 above method. =#
 _intersection(
     target::TraitTarget{GI.PolygonTrait}, ::Type{T},
@@ -192,7 +192,7 @@
     _intersection_points(T, GI.trait(geom_a), geom_a, GI.trait(geom_b), geom_b)
 
 
-#= Calculates the list of intersection points between two geometries, inlcuding line
+#= 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)
@@ -347,7 +347,7 @@
 
 #= If lines defined by (a1, a2) and (b1, b2) meet at one point that is not an endpoint of
 either segment, they form a crossing intersection with a singular intersection point. That
-point is caculated by finding the fractional distance along each segment the point occurs
+point is calculated by finding the fractional distance along each segment the point occurs
 at (α, β). If the point is too close to an endpoint to be distinct, the point shares a value
 with the endpoint, but with a non-zero and non-one fractional value. If the intersection
 point calculated is outside of the envelope of the two segments due to floating point error,
@@ -362,9 +362,9 @@
     β = _clamped_frac(Δbax * Δay - Δbay * Δax, a_cross_b, eps(T))
 
     #= Intersection will be where a1 + α * Δa = b1 + β * Δb. However, due to floating point
-    innacurracies, α and β calculations may yeild different intersection points. Average
+    inaccuracies, α and β calculations may yield different intersection points. Average
     both points together to minimize difference from real value, as long as segment isn't
-    vertical or horizontal as this will almost certianly lead to the point being outside the
+    vertical or horizontal as this will almost certainly lead to the point being outside the
     envelope due to floating point error. Also note that floating point limitations could
     make intersection be endpoint if α≈0 or α≈1.=#
     x = if Δax == 0
@@ -401,7 +401,7 @@
         α, β = _clamped_frac(distance(min_pt, a2, T), a_dist, eps(T)), one(T) - eps(T)
     end

Return point with smallest distance

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

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/predicates.html b/dev/source/methods/clipping/predicates.html index 1eb27bfe5..3cc6cb3c0 100644 --- a/dev/source/methods/clipping/predicates.html +++ b/dev/source/methods/clipping/predicates.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -62,7 +62,7 @@ end import .Predicates

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/clipping/union.html b/dev/source/methods/clipping/union.html index cb180d204..cbd15c64c 100644 --- a/dev/source/methods/clipping/union.html +++ b/dev/source/methods/clipping/union.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -88,7 +88,7 @@ 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 uneeded collinear points on same edge

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

Remove unneeded collinear points on same edge

julia
    _remove_collinear_points!(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
@@ -158,7 +158,7 @@
         in_ih, on_ih, out_ih = _line_polygon_interactions(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 completly within the ith hole - polygons aren't
+                #= interior polygon is completely within the ith hole - polygons aren't
                 touching and do not actually form a union =#
                 polys[1] = tuples(interior_poly)
                 push!(polys, tuples(exterior_poly))
@@ -229,7 +229,7 @@
     return polys
 end
 
-#= Multipolygon with polygon union is equivalent to taking the union of the poylgon with the
+#= 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},
@@ -268,7 +268,7 @@
     throw(ArgumentError("Union between $trait_a and $trait_b with target $Target isn't implemented yet."))
     return nothing
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/distance.html b/dev/source/methods/distance.html index 102e7a99b..6c7f21f35 100644 --- a/dev/source/methods/distance.html +++ b/dev/source/methods/distance.html @@ -8,17 +8,17 @@ - + - - - + + + -
GeometryOps.jl

Appearance

Distance and signed distance ​

julia
export distance, signed_distance

What is distance? What is signed distance? ​

Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all "non-filled" geometries, like curves, the distance will either be postitive or 0.

To provide an example, consider this rectangle:

julia
import GeometryOps as GO
+    
GeometryOps.jl
Appearance
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
@@ -29,13 +29,13 @@
 f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))
 scatter!(GI.x(point_in), GI.y(point_in); color = :red)
 scatter!(GI.x(point_out), GI.y(point_out); color = :orange)
-f
This is clearly a rectangle with one point inside and one point outside. The points are both an equal distance to the polygon. The distance to point_in is negative while the distance to point_out is positive.
julia
(
+f
This is clearly a rectangle with one point inside and one point outside. The points are both an equal distance to the polygon. The distance to point_in is negative while the distance to point_out is positive.
julia
(
 GO.distance(point_in, rect),  # == 0
 GO.signed_distance(point_in, rect),  # < 0
 GO.signed_distance(point_out, rect)  # > 0
 )
(0.0, -0.5, 0.5)
Consider also a heatmap of signed distances around this object:
julia
xrange = yrange = LinRange(-0.5, 1.5, 300)
 f, a, p = heatmap(xrange, yrange, GO.signed_distance.(Point2f.(xrange, yrange'), Ref(rect)); colormap = :RdBu, colorrange = (-0.75, 0.75))
-a.aspect = DataAspect(); Colorbar(f[1, 2], p, label = "Signed distance"); lines!(a, GI.convert(GO.GeometryBasics, rect)); f
Implementation ​
This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Distance and signed distance are only implemented for points to other geometries right now. This could be extended to include distance from other geometries in the future.
The distance calculated is the Euclidean distance using the Pythagorean theorem. Also note that singed_distance only makes sense for "filled-in" shapes, like polygons, so it isn't implemented for curves.
julia
const _DISTANCE_TARGETS = TraitTarget{Union{GI.AbstractPolygonTrait,GI.LineStringTrait,GI.LinearRingTrait,GI.LineTrait,GI.PointTrait}}()
+a.aspect = DataAspect(); Colorbar(f[1, 2], p, label = "Signed distance"); lines!(a, GI.convert(GO.GeometryBasics, rect)); f
Implementation ​
This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Distance and signed distance are only implemented for points to other geometries right now. This could be extended to include distance from other geometries in the future.
The distance calculated is the Euclidean distance using the Pythagorean theorem. Also note that singed_distance only makes sense for "filled-in" shapes, like polygons, so it isn't implemented for curves.
julia
const _DISTANCE_TARGETS = TraitTarget{Union{GI.AbstractPolygonTrait,GI.LineStringTrait,GI.LinearRingTrait,GI.LineTrait,GI.PointTrait}}()
 
 """
     distance(point, geom, ::Type{T} = Float64)::T
@@ -199,7 +199,7 @@
     end
     return min_dist
 end
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/dev/source/methods/equals.html b/dev/source/methods/equals.html
index 17e8a6c38..56839c6a6 100644
--- a/dev/source/methods/equals.html
+++ b/dev/source/methods/equals.html
@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
@@ -29,7 +29,7 @@
 scatter!(GI.getpoint(l1), color = :blue)
 lines!(GI.getpoint(l2), color = :orange)
 scatter!(GI.getpoint(l2), color = :orange)
-f

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

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

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

julia
"""
+f

We can see that the two lines do not share a 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.
@@ -170,7 +170,7 @@
     )::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 defintion.
+along the curve. Note that lines/linestrings aren't closed by definition.
 """
 equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
@@ -184,7 +184,7 @@
     )::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 defintion, but
+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
 """
 equals(
@@ -199,7 +199,7 @@
     )::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 defintion, but
+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
 """
 equals(
@@ -283,7 +283,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/geom_relations/contains.html b/dev/source/methods/geom_relations/contains.html index b5587b1f9..d18c7c171 100644 --- a/dev/source/methods/geom_relations/contains.html +++ b/dev/source/methods/geom_relations/contains.html @@ -8,17 +8,17 @@ - + - - - + + + -
GeometryOps.jl

Appearance

Contains ​

julia
export contains

What is contains? ​

The contains function checks if a given geometry completly contains another geometry, or in other words, that the second geometry is completly within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.

To provide an example, consider these two lines:

julia
import GeometryOps as GO
+    
GeometryOps.jl
Appearance
Contains ​
julia
export contains
What is contains? ​
The contains function checks if a given geometry completely contains another geometry, or in other words, that the second geometry is completely within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
@@ -29,7 +29,7 @@
 scatter!(GI.getpoint(l1), color = :blue)
 lines!(GI.getpoint(l2), color = :orange)
 scatter!(GI.getpoint(l2), color = :orange)
-f
We can see that all of the points and edges of l2 are within l1, so l1 contains l2. However, l2 does not contain l1.
julia
GO.contains(l1, l2)  # returns true
+f
We can see that all of the points and edges of l2 are within l1, so l1 contains l2. However, l2 does not contain l1.
julia
GO.contains(l1, l2)  # returns true
 GO.contains(l2, l1)  # returns false
false
Implementation ​
This is the GeoInterface-compatible implementation.
Given that contains is the exact opposite of within, we simply pass the two inputs variables, swapped in order, to within.
julia
"""
     contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
 
@@ -51,7 +51,7 @@
 ```
 """
 contains(g1, g2) = GeometryOps.within(g2, g1)
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/dev/source/methods/geom_relations/coveredby.html b/dev/source/methods/geom_relations/coveredby.html
index f70abd78a..c9a5c4af4 100644
--- a/dev/source/methods/geom_relations/coveredby.html
+++ b/dev/source/methods/geom_relations/coveredby.html
@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
@@ -27,7 +27,7 @@
 l1 = GI.Line([p1, (1.0, 1.0)])
 f, a, p = lines(GI.getpoint(l1))
 scatter!(p1, color = :red)
-f

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

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

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the coveredby function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

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

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

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

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

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the coveredby function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

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

julia
const COVEREDBY_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
 const COVEREDBY_CURVE_ALLOWS = (over_allow = true, cross_allow = true, on_allow = true, out_allow = false)
 const COVEREDBY_CURVE_REQUIRES = (in_require = false, on_require = false, out_require = false)
 const COVEREDBY_POLYGON_REQUIRES = (in_require = true, on_require = false, out_require = false,)
@@ -111,7 +111,7 @@
 )
 
 #= Linestring is coveredby a polygon if all interior and boundary points of the
-line are in the polygon interior or on its edges, inlcuding hole edges. =#
+line are in the polygon interior or on its edges, including hole edges. =#
 _coveredby(
     ::Union{GI.LineTrait, GI.LineStringTrait}, g1,
     ::GI.PolygonTrait, g2,
@@ -150,7 +150,7 @@
 )
 
 #= Linearring is coveredby a polygon if all vertices and edges of the ring are
-in the polygon interior or on the polygon edges, inlcuding hole edges. =#
+in the polygon interior or on the polygon edges, including hole edges. =#
 _coveredby(
     ::GI.LinearRingTrait, g1,
     ::GI.PolygonTrait, g2,
@@ -201,7 +201,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/geom_relations/covers.html b/dev/source/methods/geom_relations/covers.html index dd90e97ba..640eb68ca 100644 --- a/dev/source/methods/geom_relations/covers.html +++ b/dev/source/methods/geom_relations/covers.html @@ -8,17 +8,17 @@ - + - - - + + + -
GeometryOps.jl

Appearance

Covers ​

julia
export covers

What is covers? ​

The covers function checks if a given geometry completly covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.

To provide an example, consider these two lines:

julia
import GeometryOps as GO
+    
GeometryOps.jl
Appearance
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
@@ -29,7 +29,7 @@
 
 f, a, p = lines(GI.getpoint(l1))
 scatter!(p1, color = :red)
-f
julia
GO.covers(l1, p1)  # returns true
+f
julia
GO.covers(l1, p1)  # returns true
 GO.covers(p1, l1)  # returns false
false
Implementation ​
This is the GeoInterface-compatible implementation.
Given that covers is the exact opposite of coveredby, we simply pass the two inputs variables, swapped in order, to coveredby.
julia
"""
     covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
 
@@ -51,7 +51,7 @@
 ```
 """
 covers(g1, g2)::Bool = GeometryOps.coveredby(g2, g1)
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/dev/source/methods/geom_relations/crosses.html b/dev/source/methods/geom_relations/crosses.html
index b3e8987bd..5bfd04fa6 100644
--- a/dev/source/methods/geom_relations/crosses.html
+++ b/dev/source/methods/geom_relations/crosses.html
@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
@@ -138,7 +138,7 @@
     end
     return false
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/geom_relations/disjoint.html b/dev/source/methods/geom_relations/disjoint.html index 69e450ba9..ad4d2b53e 100644 --- a/dev/source/methods/geom_relations/disjoint.html +++ b/dev/source/methods/geom_relations/disjoint.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

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

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the disjoint function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are not allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

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

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

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

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

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the disjoint function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are not allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

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

julia
const DISJOINT_ALLOWS = (in_allow = false, on_allow = false, out_allow = true)
 const DISJOINT_CURVE_ALLOWS = (over_allow = false, cross_allow = false, on_allow = false, out_allow = true)
 const DISJOINT_REQUIRES = (in_require = false, on_require = false, out_require = false)
 const DISJOINT_EXACT = (exact = _False(),)
@@ -130,7 +130,7 @@
 )
 
 #= Geometry is disjoint from a linestring if the line's interior and boundary
-points don't intersect with the geometrie's interior and boundary points. =#
+points don't intersect with the geometry's interior and boundary points. =#
 _disjoint(
     trait1::Union{GI.LinearRingTrait, GI.PolygonTrait}, g1,
     trait2::Union{GI.LineTrait, GI.LineStringTrait}, g2,
@@ -196,7 +196,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/geom_relations/geom_geom_processors.html b/dev/source/methods/geom_relations/geom_geom_processors.html index bb687d538..37f096409 100644 --- a/dev/source/methods/geom_relations/geom_geom_processors.html +++ b/dev/source/methods/geom_relations/geom_geom_processors.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -56,7 +56,7 @@ )

Check interaction of geom with polygon's exterior boundary

julia
    ext_val = _point_filled_curve_orientation(point, GI.getexterior(polygon); exact)

If a point is outside, it isn't interacting with any holes

julia
    ext_val == point_out && return out_allow

if a point is on an external boundary, it isn't interacting with any holes

julia
    ext_val == point_on && return on_allow

If geom is within the polygon, need to check interactions with holes

julia
    for hole in GI.gethole(polygon)
         hole_val = _point_filled_curve_orientation(point, hole; exact)

If a point in in a hole, it is outside of the polygon

julia
        hole_val == point_in && return out_allow

If a point in on a hole edge, it is on the edge of the polygon

julia
        hole_val == point_on && return on_allow
     end

Point is within external boundary and on in/on any holes

julia
    return in_allow
-end

Determines if a line meets the given checks with respect to a curve.

If over_allow is true, segments of the line and curve can be co-linear. If cross_allow is true, segments of the line and curve can cross. If on_allow is true, endpoints of either the line or curve can intersect a segment of the other geometry. If cross_allow is true, segments of the line and curve can be disjoint.

If in_require is true, the interiors of the line and curve must meet in at least one point. If on_require is true, the bounday of one of the two geometries can meet the interior or boundary of the other geometry in at least one point. If out_require is true, there must be at least one point of the given line that is exterior of the curve.

If the point is in an "allowed" location and meets all requirments, return true. Else, return false.

If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment. Same with closed_curve.

julia
@inline function _line_curve_process(line, curve;
+end

Determines if a line meets the given checks with respect to a curve.

If over_allow is true, segments of the line and curve can be co-linear. If cross_allow is true, segments of the line and curve can cross. If on_allow is true, endpoints of either the line or curve can intersect a segment of the other geometry. If cross_allow is true, segments of the line and curve can be disjoint.

If in_require is true, the interiors of the line and curve must meet in at least one point. If on_require is true, the boundary of one of the two geometries can meet the interior or boundary of the other geometry in at least one point. If out_require is true, there must be at least one point of the given line that is exterior of the curve.

If the point is in an "allowed" location and meets all requirements, return true. Else, return false.

If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment. Same with closed_curve.

julia
@inline function _line_curve_process(line, curve;
     over_allow, cross_allow, kw...
 )
     skip, returnval = _maybe_skip_disjoint_extents(line, curve;
@@ -73,7 +73,7 @@
     in_require, on_require, out_require,
     closed_line = false, closed_curve = false,
     exact,
-)

Set up requirments

julia
    in_req_met = !in_require
+)

Set up requirements

julia
    in_req_met = !in_require
     on_req_met = !on_require
     out_req_met = !out_require

Determine curve endpoints

julia
    nl = GI.npoint(line)
     nc = GI.npoint(curve)
@@ -88,7 +88,7 @@
         l_end = _tuple_point(GI.getpoint(line, i))
         c_start = _tuple_point(GI.getpoint(curve, closed_curve ? nc : 1))

Loop over each curve segment

julia
        for j in (closed_curve ? 1 : 2):nc
             c_end = _tuple_point(GI.getpoint(curve, j))

Check if line and curve segments meet

julia
            seg_val, intr1, _ = _intersection_point(Float64, (l_start, l_end), (c_start, c_end); exact)

If segments are co-linear

julia
            if seg_val == line_over
-                !over_allow && return false

at least one point in, meets requirments

julia
                in_req_met = true
+                !over_allow && return false

at least one point in, meets requirements

julia
                in_req_met = true
                 point_val = _point_segment_orientation(l_start, c_start, c_end)

If entire segment isn't covered, consider remaining section

julia
                if point_val != point_out
                     i, l_start, break_off = _find_new_seg(i, l_start, l_end, c_start, c_end)
                     break_off && break
@@ -133,7 +133,7 @@
 end
 
 #= If entire segment (le to ls) isn't covered by segment (cs to ce), find remaining section
-part of section outside of cs to ce. If completly covered, increase segment index i. =#
+part of section outside of cs to ce. If completely covered, increase segment index i. =#
 function _find_new_seg(i, ls, le, cs, ce)
     break_off = true
     if _point_segment_orientation(le, cs, ce) != point_out
@@ -161,7 +161,7 @@
         ((le, _tuple_point(GI.getpoint(line, i + 1))), (cs, ce))
     end
     return next_seg
-end

Determines if a line meets the given checks with respect to a polygon.

If in_allow is true, segments of the line can be in the polygon interior. If on_allow is true, segments of the line can be on the polygon's boundary. If out_allow is true, segments of the line can be outside of the polygon.

If in_require is true, the interiors of the line and polygon must meet in at least one point. If on_require is true, the line must have at least one point on the polygon'same boundary. If out_require is true, the line must have at least one point outside of the polygon.

If the point is in an "allowed" location and meets all requirments, return true. Else, return false.

If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment.

julia
@inline function _line_polygon_process(line, polygon; kw...)
+end

Determines if a line meets the given checks with respect to a polygon.

If in_allow is true, segments of the line can be in the polygon interior. If on_allow is true, segments of the line can be on the polygon's boundary. If out_allow is true, segments of the line can be outside of the polygon.

If in_require is true, the interiors of the line and polygon must meet in at least one point. If on_require is true, the line must have at least one point on the polygon'same boundary. If out_require is true, the line must have at least one point outside of the polygon.

If the point is in an "allowed" location and meets all requirements, return true. Else, return false.

If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment.

julia
@inline function _line_polygon_process(line, polygon; kw...)
     skip, returnval = _maybe_skip_disjoint_extents(line, polygon; kw...)
     skip && return returnval
     return _inner_line_polygon_process(line, polygon; kw...)
@@ -195,7 +195,7 @@
             !out_allow && return false
             out_req_met = true
         end
-        if on_hole  # hole bounday is polygon boundary
+        if on_hole  # hole boundary is polygon boundary
             !on_allow && return false
             on_req_met = true
         end
@@ -209,7 +209,7 @@
         in_req_met = true
     end
     return in_req_met && on_req_met && out_req_met
-end

Determines if a polygon meets the given checks with respect to a polygon.

If in_allow is true, the polygon's interiors must intersect. If on_allow is true, the one of the polygon's boundaries must either interact with the other polygon's boundary or interior. If out_allow is true, the first polygon must have interior regions outside of the second polygon.

If in_require is true, the polygon interiors must meet in at least one point. If on_require is true, one of the polygon's must have at least one boundary point in or on the other polygon. If out_require is true, the first polygon must have at least one interior point outside of the second polygon.

If the point is in an "allowed" location and meets all requirments, return true. Else, return false.

julia
@inline function _polygon_polygon_process(poly1, poly2; kw...)
+end

Determines if a polygon meets the given checks with respect to a polygon.

If in_allow is true, the polygon's interiors must intersect. If on_allow is true, the one of the polygon's boundaries must either interact with the other polygon's boundary or interior. If out_allow is true, the first polygon must have interior regions outside of the second polygon.

If in_require is true, the polygon interiors must meet in at least one point. If on_require is true, one of the polygon's must have at least one boundary point in or on the other polygon. If out_require is true, the first polygon must have at least one interior point outside of the second polygon.

If the point is in an "allowed" location and meets all requirements, return true. Else, return false.

julia
@inline function _polygon_polygon_process(poly1, poly2; kw...)
     skip, returnval = _maybe_skip_disjoint_extents(poly1, poly2; kw...)
     skip && return returnval
     return _inner_polygon_polygon_process(poly1, poly2; kw...)
@@ -307,7 +307,7 @@
         !between_endpoints && return out
     end
     return in
-end

Determine if point is in, on, or out of a closed curve, which includes the space enclosed by the closed curve.

In means the point is within the closed curve (excluding edges and vertices). On means the point is on an edge or a vertex of the closed curve. Out means the point is outside of the closed curve.

Point should be an object of point trait and curve should be an object with a linestring or linearring trait, that is assumed to be closed, regardless of repeated last point.

Can provide values of in, on, and out keywords, which determines return values for each scenario.

Note that this uses the Algorithm by Hao and Sun (2018): https://doi.org/10.3390/sym10100477 Paper seperates orientation of point and edge into 26 cases. For each case, it is either a case where the point is on the edge (returns on), where a ray from the point (x, y) to infinity along the line y = y cut through the edge (k += 1), or the ray does not pass through the edge (do nothing and continue). If the ray passes through an odd number of edges, it is within the curve, else outside of of the curve if it didn't return 'on'. See paper for more information on cases denoted in comments.

julia
function _point_filled_curve_orientation(
+end

Determine if point is in, on, or out of a closed curve, which includes the space enclosed by the closed curve.

In means the point is within the closed curve (excluding edges and vertices). On means the point is on an edge or a vertex of the closed curve. Out means the point is outside of the closed curve.

Point should be an object of point trait and curve should be an object with a linestring or linearring trait, that is assumed to be closed, regardless of repeated last point.

Can provide values of in, on, and out keywords, which determines return values for each scenario.

Note that this uses the Algorithm by Hao and Sun (2018): https://doi.org/10.3390/sym10100477 Paper separates orientation of point and edge into 26 cases. For each case, it is either a case where the point is on the edge (returns on), where a ray from the point (x, y) to infinity along the line y = y cut through the edge (k += 1), or the ray does not pass through the edge (do nothing and continue). If the ray passes through an odd number of edges, it is within the curve, else outside of of the curve if it didn't return 'on'. See paper for more information on cases denoted in comments.

julia
function _point_filled_curve_orientation(
     point, curve;
     in::T = point_in, on::T = point_on, out::T = point_out, exact,
 ) where {T}
@@ -412,7 +412,7 @@
         l_start = l_end
     end
     return in_curve, on_curve, out_curve
-end

Determines the types of interactions of a line with a polygon.

Returns a tuple of booleans: (in_poly, on_poly, out_poly).

If in_poly is true, some of the lines interior points interact with the polygon interior points. If in_poly is true, endpoints of either the line intersect with the polygon or the line interacts with the polygon boundary, including hole bounaries. If out_curve is true, at least one segments of the line is outside the polygon, including inside of holes.

If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment.

julia
function _line_polygon_interactions(
+end

Determines the types of interactions of a line with a polygon.

Returns a tuple of booleans: (in_poly, on_poly, out_poly).

If in_poly is true, some of the lines interior points interact with the polygon interior points. If in_poly is true, endpoints of either the line intersect with the polygon or the line interacts with the polygon boundary, including hole boundaries. If out_curve is true, at least one segments of the line is outside the polygon, including inside of holes.

If closed_line is true, line is treated as a closed line where the first and last point are connected by a segment.

julia
function _line_polygon_interactions(
     line, polygon;
     exact, closed_line = false,
 )
@@ -455,7 +455,7 @@
     end
     return skip, returnval
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/geom_relations/intersects.html b/dev/source/methods/geom_relations/intersects.html index 504215b08..aac608f96 100644 --- a/dev/source/methods/geom_relations/intersects.html +++ b/dev/source/methods/geom_relations/intersects.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -27,7 +27,7 @@ line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)]) f, a, p = lines(GI.getpoint(line1)) lines!(GI.getpoint(line2)) -f

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

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

julia
"""
+f

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

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

Implementation ​

This is the GeoInterface-compatible implementation.

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

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/geom_relations/overlaps.html b/dev/source/methods/geom_relations/overlaps.html index db5dd4b71..abc662e35 100644 --- a/dev/source/methods/geom_relations/overlaps.html +++ b/dev/source/methods/geom_relations/overlaps.html @@ -8,17 +8,17 @@ - + - - - + + + -
GeometryOps.jl

Appearance

Overlaps ​

julia
export overlaps

What is overlaps? ​

The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.

Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is colinear.

To provide an example, consider these two lines:

julia
import GeometryOps as GO
+    
GeometryOps.jl
Appearance
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
@@ -29,7 +29,7 @@
 scatter!(GI.getpoint(l1), color = :blue)
 lines!(GI.getpoint(l2), color = :orange)
 scatter!(GI.getpoint(l2), color = :orange)
-f
We can see that the two lines overlap in the plot:
julia
GO.overlaps(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions autmoatically can return false.
For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectivly, without being contained.
julia
"""
+f
We can see that the two lines overlap in the plot:
julia
GO.overlaps(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions 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
@@ -93,7 +93,7 @@
 """
     overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
 
-If the lines overlap, meaning that they are colinear but each have one endpoint
+If the lines overlap, meaning that they are collinear but each have one endpoint
 outside of the other line, return true. Else false.
 """
 overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line) =
@@ -189,7 +189,7 @@
     return false
 end
 
-#= If the edges overlap, meaning that they are colinear but each have one endpoint
+#= If the edges overlap, meaning that they are collinear but each have one endpoint
 outside of the other edge, return true. Else false. =#
 function _overlaps(
     (a1, a2)::Edge,
@@ -230,7 +230,7 @@
     seg_val, _, _ = _intersection_point(Float64, edge_a, edge_b; exact = _False())
     return seg_val != line_out
 end
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/dev/source/methods/geom_relations/touches.html b/dev/source/methods/geom_relations/touches.html
index f64b53484..f9aedf5a8 100644
--- a/dev/source/methods/geom_relations/touches.html
+++ b/dev/source/methods/geom_relations/touches.html
@@ -8,17 +8,17 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
   
   
-    
GeometryOps.jl
Appearance
Touches ​
julia
export touches
What is touches? ​
The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometies interior or boundary.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+    
GeometryOps.jl
Appearance
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
@@ -28,7 +28,7 @@
 
 f, a, p = lines(GI.getpoint(l1))
 lines!(GI.getpoint(l2))
-f
We can see that these two lines touch only at their endpoints.
julia
GO.touches(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.
Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the touches function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - at least one point of g1 is required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2
The code for the specific implementations is in the geom_geom_processors file.
julia
const TOUCHES_POINT_ALLOWED = (in_allow = false, on_allow = true, out_allow = false)
+f
We can see that these two lines touch only at their endpoints.
julia
GO.touches(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.
Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the touches function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - at least one point of g1 is required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2
The code for the specific implementations is in the geom_geom_processors file.
julia
const TOUCHES_POINT_ALLOWED = (in_allow = false, on_allow = true, out_allow = false)
 const TOUCHES_CURVE_ALLOWED = (over_allow = false, cross_allow = false, on_allow = true, out_allow = true)
 const TOUCHES_POLYGON_ALLOWS = (in_allow = false, on_allow = true, out_allow = true)
 const TOUCHES_REQUIRES = (in_require = false, on_require = true, out_require = false)
@@ -39,7 +39,7 @@
 
 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 geometies interior or
+boundary point that interacts with either the other geometry's interior or
 boundary.
 
 # Examples
@@ -82,8 +82,8 @@
 _touches(
     trait1::Union{GI.AbstractCurveTrait, GI.PolygonTrait}, g1,
     trait2::GI.PointTrait, g2,
-) = _touches(trait2, g2, trait1, g1)
Lines touching geometries ​
julia
#= Linestring touches another line if at least one bounday point interacts with
-the bounday of interior of the other line, but the interiors don't interact. =#
+) = _touches(trait2, g2, trait1, g1)
Lines touching geometries ​
julia
#= Linestring touches another line if at least one boundary point interacts with
+the boundary of interior of the other line, but the interiors don't interact. =#
 _touches(
     ::Union{GI.LineTrait, GI.LineStringTrait}, g1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, g2,
@@ -130,14 +130,14 @@
 ) = _touches(trait2, g2, trait1, g1)
 
 #= Linearring cannot touch another linear ring since they are both exclusively
-made up of interior points and no bounday points =#
+made up of interior points and no boundary points =#
 _touches(
     ::GI.LinearRingTrait, g1,
     ::GI.LinearRingTrait, g2,
 ) = false
 
 #= Linearring touches a polygon if at least one of the points of the ring
-interact with the polygon bounday and non are in the polygon interior. =#
+interact with the polygon boundary and non are in the polygon interior. =#
 _touches(
     ::GI.LinearRingTrait, g1,
     ::GI.PolygonTrait, g2,
@@ -147,8 +147,8 @@
     TOUCHES_REQUIRES...,
     TOUCHES_EXACT...,
     closed_line = true,
-)
Polygons touch geometries ​
julia
#= Polygon touches a curve if at least one of the curve bounday points interacts
-with the polygon's bounday and no curve points interact with the interior.=#
+)
Polygons touch geometries ​
julia
#= Polygon touches a curve if at least one of the curve boundary points interacts
+with the polygon's boundary and no curve points interact with the interior.=#
 _touches(
     trait1::GI.PolygonTrait, g1,
     trait2::GI.AbstractCurveTrait, g2
@@ -192,7 +192,7 @@
     end
     return true
 end
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/dev/source/methods/geom_relations/within.html b/dev/source/methods/geom_relations/within.html
index 59bbab215..8cc38d012 100644
--- a/dev/source/methods/geom_relations/within.html
+++ b/dev/source/methods/geom_relations/within.html
@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
@@ -29,7 +29,7 @@
 scatter!(GI.getpoint(l1), color = :blue)
 lines!(GI.getpoint(l2), color = :orange)
 scatter!(GI.getpoint(l2), color = :orange)
-f
We can see that all of the points and edges of l2 are within l1, so l2 is within l1, but l1 is not within l2
julia
GO.within(l1, l2)  # false
+f
We can see that all of the points and edges of l2 are within l1, so l2 is within l1, but l1 is not within l2
julia
GO.within(l1, l2)  # false
 GO.within(l2, l1)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.
Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the within function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - at least one point of g1 is required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2
The code for the specific implementations is in the geom_geom_processors file.
julia
const WITHIN_POINT_ALLOWS = (in_allow = true, on_allow = false, out_allow = false)
 const WITHIN_CURVE_ALLOWS = (over_allow = true, cross_allow = true, on_allow = true, out_allow = false)
 const WITHIN_POLYGON_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
@@ -211,7 +211,7 @@
     end
     return true
 end
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/dev/source/methods/orientation.html b/dev/source/methods/orientation.html
index 1bda33fcc..b4d50d217 100644
--- a/dev/source/methods/orientation.html
+++ b/dev/source/methods/orientation.html
@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
@@ -118,7 +118,7 @@
     _isparallel(bx - ax, by - ay, dx - cx, dy - cy)
 
 _isparallel(Δx1, Δy1, Δx2, Δy2) = (Δx1 * Δy2 == Δy1 * Δx2)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/methods/polygonize.html b/dev/source/methods/polygonize.html index 304682a09..3fa1a8d6c 100644 --- a/dev/source/methods/polygonize.html +++ b/dev/source/methods/polygonize.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -53,7 +53,7 @@ Now, we can use the `polygonize` function to convert the raster data into polygons. For this particular example, we chose a range of z-values between 0.8 and 3.2, -which would provide two distinct polyogns with holes. +which would provide two distinct polygons with holes. ```@example polygonize polygons = polygonize(xs, ys, 0.8 .< zs .< 3.2) @@ -266,7 +266,7 @@ assigned_holes = count(assigned) assigned_holes == length(holes) || @warn "Not all holes were assigned to polygons, $(length(holes) - assigned_holes) where missed from $(length(holes)) holes and $(length(polygons)) polygons" - if isempty(polygons)

TODO: this really should return an emtpty MultiPolygon but GeoInterface wrappers cant do that yet, which is not ideal...

julia
        @warn "No polgons found, check your data or try another function for `f`"
+    if isempty(polygons)

TODO: this really should return an empty MultiPolygon but GeoInterface wrappers cant do that yet, which is not ideal...

julia
        @warn "No polgons found, check your data or try another function for `f`"
         return nothing
     else

Otherwise return a wrapped MultiPolygon

julia
        return GI.MultiPolygon(polygons; crs, extent = mapreduce(GI.extent, Extents.union, polygons))
     end
@@ -307,7 +307,7 @@
     end
     return edges
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/not_implemented_yet.html b/dev/source/not_implemented_yet.html index 27264737f..6bff90ba1 100644 --- a/dev/source/not_implemented_yet.html +++ b/dev/source/not_implemented_yet.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -22,7 +22,7 @@ function buffer end function convexhull end function concavehull end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/primitives.html b/dev/source/primitives.html index 4f3955e23..757695390 100644 --- a/dev/source/primitives.html +++ b/dev/source/primitives.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -21,7 +21,7 @@
GeometryOps.jl

Appearance

Primitive functions ​

julia
export apply, applyreduce, TraitTarget

This file mainly defines the apply and applyreduce functions, and some related functionality.

In general, the idea behind the apply framework is to take as input any geometry, vector of geometries, or feature collection, deconstruct it to the given trait target (any arbitrary GI.AbstractTrait or TraitTarget union thereof, like PointTrait or PolygonTrait) and perform some operation on it.

This allows for a simple and consistent framework within which users can define their own operations trivially easily, and removes a lot of the complexity involved with handling complex geometry structures.

For example, a simple way to flip the x and y coordinates of a geometry is:

julia
flipped_geom = GO.apply(GI.PointTrait(), geom) do p
     (GI.y(p), GI.x(p))
 end

As simple as that. There's no need to implement your own decomposition because it's done for you.

Functions like flip, reproject, transform, even segmentize and simplify have been implemented using the apply framework. Similarly, centroid, area and distance have been implemented using the applyreduce framework.

Docstrings ​

Functions ​

Missing docstring.

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

Missing docstring.

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

Missing docstring.

Missing docstring for GeometryOps.unwrap. Check Documenter's build log for details.

# GeometryOps.flatten — Function.
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
-flatten(f, target::Type{<:GI.AbstractTrait}, obj)

Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.

If f is passed in it will be applied to the target geometries.

source


# GeometryOps.reconstruct — Function.
julia
reconstruct(geom, components)

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

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

Ususally used in combination with flatten.

source


# GeometryOps.rebuild — Function.
julia
rebuild(geom, child_geoms)

Rebuild a geometry from child geometries.

By default geometries will be rebuilt as a GeoInterface.Wrappers geometry, but rebuild can have methods added to it to dispatch on geometries from other packages and specify how to rebuild them.

(Maybe it should go into GeoInterface.jl)

source


Types ​

Missing docstring.

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

Implementation ​

julia
const THREADED_KEYWORD = "- `threaded`: `true` or `false`. Whether to use multithreading. Defaults to `false`."
+flatten(f, target::Type{<:GI.AbstractTrait}, obj)

Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.

If f is passed in it will be applied to the target geometries.

source


# GeometryOps.reconstruct — Function.
julia
reconstruct(geom, components)

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

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

Usually used in combination with flatten.

source


# GeometryOps.rebuild — Function.
julia
rebuild(geom, child_geoms)

Rebuild a geometry from child geometries.

By default geometries will be rebuilt as a GeoInterface.Wrappers geometry, but rebuild can have methods added to it to dispatch on geometries from other packages and specify how to rebuild them.

(Maybe it should go into GeoInterface.jl)

source


Types ​

Missing docstring.

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

Implementation ​

julia
const THREADED_KEYWORD = "- `threaded`: `true` or `false`. Whether to use multithreading. Defaults to `false`."
 const CRS_KEYWORD = "- `crs`: The CRS to attach to geometries. Defaults to `nothing`."
 const CALC_EXTENT_KEYWORD = "- `calc_extent`: `true` or `false`. Whether to calculate the extent. Defaults to `false`."
 
@@ -106,14 +106,14 @@
 ) where F

Run _apply on all features in the feature collection, possibly threaded

julia
    apply_to_feature(i) =
         _apply(f, target, GI.getfeature(fc, i); crs, calc_extent, threaded=_False())::GI.Feature
     features = _maptasks(apply_to_feature, 1:GI.nfeature(fc), threaded)
-    if calc_extent isa _True

Calculate the extent of the features

julia
        extent = mapreduce(GI.extent, Extents.union, features)

Return a FeatureCollection with features, crs and caculated extent

julia
        return GI.FeatureCollection(features; crs, extent)
+    if calc_extent isa _True

Calculate the extent of the features

julia
        extent = mapreduce(GI.extent, Extents.union, features)

Return a FeatureCollection with features, crs and calculated extent

julia
        return GI.FeatureCollection(features; crs, extent)
     else

Return a FeatureCollection with features and crs

julia
        return GI.FeatureCollection(features; crs)
     end
 end

Rewrap all FeatureTrait features as GI.Feature, keeping the properties

julia
@inline function _apply(f::F, target, ::GI.FeatureTrait, feature;
     crs=GI.crs(feature), calc_extent=_False(), threaded
 ) where F

Run _apply on the contained geometry

julia
    geometry = _apply(f, target, GI.geometry(feature); crs, calc_extent, threaded)

Get the feature properties

julia
    properties = GI.properties(feature)
-    if calc_extent isa _True

Calculate the extent of the geometry

julia
        extent = GI.extent(geometry)

Return a new Feature with the new geometry and calculated extent, but the oroginal properties and crs

julia
        return GI.Feature(geometry; properties, crs, extent)
-    else

Return a new Feature with the new geometry, but the oroginal properties and crs

julia
        return GI.Feature(geometry; properties, crs)
+    if calc_extent isa _True

Calculate the extent of the geometry

julia
        extent = GI.extent(geometry)

Return a new Feature with the new geometry and calculated extent, but the original properties and crs

julia
        return GI.Feature(geometry; properties, crs, extent)
+    else

Return a new Feature with the new geometry, but the original properties and crs

julia
        return GI.Feature(geometry; properties, crs)
     end
 end

Reconstruct nested geometries, maybe using threads to call _apply on component geoms

julia
@inline function _apply(f::F, target, trait, geom;
     crs=GI.crs(geom), calc_extent=_False(), threaded
@@ -121,9 +121,9 @@
     geoms = _maptasks(apply_to_geom, 1:GI.ngeom(geom), threaded)
     return _apply_inner(geom, geoms, crs, calc_extent)
 end
-function _apply_inner(geom, geoms, crs, calc_extent::_True)

Calculate the extent of the sub geometries

julia
    extent = mapreduce(GI.extent, Extents.union, geoms)

Return a new geometry of the same trait as geom, holding tnew geoms with crs and calcualted extent

julia
    return rebuild(geom, geoms; crs, extent)
+function _apply_inner(geom, geoms, crs, calc_extent::_True)

Calculate the extent of the sub geometries

julia
    extent = mapreduce(GI.extent, Extents.union, geoms)

Return a new geometry of the same trait as geom, holding the new geoms with crs and calculated extent

julia
    return rebuild(geom, geoms; crs, extent)
 end
-function _apply_inner(geom, geoms, crs, calc_extent::_False)

Return a new geometryof the same trait as geom, holding the new geoms with crs

julia
    return rebuild(geom, geoms; crs)
+function _apply_inner(geom, geoms, crs, calc_extent::_False)

Return a new geometry of the same trait as geom, holding the new geoms with crs

julia
    return rebuild(geom, geoms; crs)
 end

Fail loudly if we hit PointTrait without running f (after PointTrait there is no further to dig with _apply) @inline _apply(f, ::TraitTarget{Target}, trait::GI.PointTrait, geom; crs=nothing, kw...) where Target = throw(ArgumentError("target Target not found, but reached a PointTrait leaf")) Finally, these short methods are the main purpose of apply. The Trait is a subtype of the Target (or identical to it) So the Target is found. We apply f to geom and return it to previous _apply calls to be wrapped with the outer geometries/feature/featurecollection/array.

julia
_apply(f::F, ::TraitTarget{Target}, ::Trait, geom; crs=GI.crs(geom), kw...) where {F,Target,Trait<:Target} = f(geom)

Define some specific cases of this match to avoid method ambiguity

julia
for T in (
     GI.PointTrait, GI.LinearRing, GI.LineString,
     GI.MultiPoint, GI.FeatureTrait, GI.FeatureCollectionTrait
@@ -150,7 +150,7 @@
 end
 
 @inline _applyreduce(f::F, op::O, target, geom; threaded, init) where {F, O} =
-    _applyreduce(f, op, target, GI.trait(geom), geom; threaded, init)

Maybe use threads recucing over arrays

julia
@inline function _applyreduce(f::F, op::O, target, ::Nothing, A::AbstractArray; threaded, init) where {F, O}
+    _applyreduce(f, op, target, GI.trait(geom), geom; threaded, init)

Maybe use threads reducing over arrays

julia
@inline function _applyreduce(f::F, op::O, target, ::Nothing, A::AbstractArray; threaded, init) where {F, O}
     applyreduce_array(i) = _applyreduce(f, op, target, A[i]; threaded=_False(), init)
     _mapreducetasks(applyreduce_array, op, eachindex(A), threaded; init)
 end

Try to applyreduce over iterables

julia
@inline function _applyreduce(f::F, op::O, target, ::Nothing, iterable::IterableType; threaded, init) where {F, O, IterableType}
@@ -247,7 +247,7 @@
 
 All objects in `components` must have the same `GeoInterface.trait`.
 
-Ususally used in combination with `flatten`.
+Usually used in combination with `flatten`.
 """
 function reconstruct(geom, components)
     obj, iter = _reconstruct(geom, components)
@@ -307,14 +307,14 @@
     end
 end
 
-using Base.Threads: nthreads, @threads, @spawn

Threading utility, modified Mason Protters threading PSA run f over ntasks, where f recieves an AbstractArray/range of linear indices

julia
@inline function _maptasks(f::F, taskrange, threaded::_True)::Vector where F
+using Base.Threads: nthreads, @threads, @spawn

Threading utility, modified Mason Protters threading PSA run f over ntasks, where f receives an AbstractArray/range of linear indices

julia
@inline function _maptasks(f::F, taskrange, threaded::_True)::Vector where F
     ntasks = length(taskrange)

Customize this as needed. More tasks have more overhead, but better load balancing

julia
    tasks_per_thread = 2
     chunk_size = max(1, ntasks ÷ (tasks_per_thread * nthreads()))

partition the range into chunks

julia
    task_chunks = Iterators.partition(taskrange, chunk_size)

Map over the chunks

julia
    tasks = map(task_chunks) do chunk

Spawn a task to process this chunk

julia
        @spawn begin

Where we map f over the chunk indices

julia
            map(f, chunk)
         end
     end

Finally we join the results into a new vector

julia
    return mapreduce(fetch, vcat, tasks)
 end

Here we use the compiler directive @assume_effects :foldable to force the compiler to lookup through the closure. This alone makes e.g. flip 2.5x faster!

julia
Base.@assume_effects :foldable @inline function _maptasks(f::F, taskrange, threaded::_False)::Vector where F
     map(f, taskrange)
-end

Threading utility, modified Mason Protters threading PSA run f over ntasks, where f recieves an AbstractArray/range of linear indices

WARNING: this will not work for mean/median - only ops where grouping is possible

julia
@inline function _mapreducetasks(f::F, op, taskrange, threaded::_True; init) where F
+end

Threading utility, modified Mason Protters threading PSA run f over ntasks, where f receives an AbstractArray/range of linear indices

WARNING: this will not work for mean/median - only ops where grouping is possible

julia
@inline function _mapreducetasks(f::F, op, taskrange, threaded::_True; init) where F
     ntasks = length(taskrange)

Customize this as needed. More tasks have more overhead, but better load balancing

julia
    tasks_per_thread = 2
     chunk_size = max(1, ntasks ÷ (tasks_per_thread * nthreads()))

partition the range into chunks

julia
    task_chunks = Iterators.partition(taskrange, chunk_size)

Map over the chunks

julia
    tasks = map(task_chunks) do chunk

Spawn a task to process this chunk

julia
        @spawn begin

Where we map f over the chunk indices

julia
            mapreduce(f, op, chunk; init)
         end
@@ -323,7 +323,7 @@
 Base.@assume_effects :foldable function _mapreducetasks(f::F, op, taskrange, threaded::_False; init) where F
     mapreduce(f, op, taskrange; init)
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/correction/closed_ring.html b/dev/source/transformations/correction/closed_ring.html index 3a49d323e..aeb5ccc95 100644 --- a/dev/source/transformations/correction/closed_ring.html +++ b/dev/source/transformations/correction/closed_ring.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -48,7 +48,7 @@ else

Assemble the ring as a vector

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

Close the ring

julia
        push!(tups, tups[1])

Return an actual ring

julia
        return GI.LinearRing(tups)
     end
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/correction/geometry_correction.html b/dev/source/transformations/correction/geometry_correction.html index 143f559b9..78968f4bb 100644 --- a/dev/source/transformations/correction/geometry_correction.html +++ b/dev/source/transformations/correction/geometry_correction.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -49,7 +49,7 @@ end return final_geometry end

Available corrections ​

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

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

It can be called on any geometry correction as usual.

See also GeometryCorrection.

source


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

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

source


# GeometryOps.GeometryCorrection — Type.
julia
abstract type GeometryCorrection

This abstract type represents a geometry correction.

Interface

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

source


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

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

See also GeometryCorrection.

source


This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/correction/intersecting_polygons.html b/dev/source/transformations/correction/intersecting_polygons.html index fe35bfd0c..65308de6b 100644 --- a/dev/source/transformations/correction/intersecting_polygons.html +++ b/dev/source/transformations/correction/intersecting_polygons.html @@ -8,17 +8,17 @@ - + - - - + + + -
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 requirment for a valid multipolygon. However, different libraries may achieve this in different ways.

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

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

Example ​

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

For example, the following multipolygon is not valid:

julia
import GeoInterface as GI
+    
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, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing), GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)
given that the two sub-polygons are the exact same shape.
julia
import GeometryOps as GO
 GO.fix(multipolygon, corrections = [GO.UnionIntersectingPolygons()])
GeoInterface.Wrappers.MultiPolygon{false, false, Vector{GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(0.0, 0.0), (3.0, 0.0), (3.0, 3.0), (0.0, 3.0), (0.0, 0.0)], nothing, nothing)], nothing, nothing)], nothing, nothing)
You can see that the the multipolygon now only contains one sub-polygon, rather than the two identical ones provided.
Implementation ​
julia
"""
@@ -115,7 +115,7 @@
     end
     return diff_multipoly
 end
This page was generated using Literate.jl.

-    
+    
     
   
 
\ No newline at end of file
diff --git a/dev/source/transformations/extent.html b/dev/source/transformations/extent.html
index 1fb2f8b03..97602b9d9 100644
--- a/dev/source/transformations/extent.html
+++ b/dev/source/transformations/extent.html
@@ -8,11 +8,11 @@
     
     
     
-    
+    
     
-    
-    
-    
+    
+    
+    
     
     
     
@@ -31,7 +31,7 @@
 """
 embed_extent(x; threaded=false, crs=nothing) =
     apply(identity, GI.PointTrait(), x; calc_extent=true, threaded, crs)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/flip.html b/dev/source/transformations/flip.html index c8c8eb335..83012cd9c 100644 --- a/dev/source/transformations/flip.html +++ b/dev/source/transformations/flip.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -40,7 +40,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/reproject.html b/dev/source/transformations/reproject.html index 43bb674cd..79027bc85 100644 --- a/dev/source/transformations/reproject.html +++ b/dev/source/transformations/reproject.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -35,12 +35,12 @@ # Arguments - `geometry`: Any GeoInterface.jl compatible geometries. -- `source_crs`: the source coordinate referece system, as a GeoFormatTypes.jl object or a string. -- `target_crs`: the target coordinate referece system, as a GeoFormatTypes.jl object or a string. +- `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 retreivable from the geometry with `GeoInterface.crs(geometry)`. +needed if it is not retrievable from the geometry with `GeoInterface.crs(geometry)`. # Keywords @@ -59,7 +59,7 @@ nothing end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/segmentize.html b/dev/source/transformations/segmentize.html index 568497021..d68c991c4 100644 --- a/dev/source/transformations/segmentize.html +++ b/dev/source/transformations/segmentize.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -39,7 +39,7 @@ f, a, p = poly(collect(GI.getpoint(linear)); label = "Linear", axis = (; aspect = DataAspect())) p2 = poly!(collect(GI.getpoint(geodesic)); label = "Geodesic") axislegend(a; position = :lt) -f

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

Missing docstring.

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

Missing docstring.

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

Benchmark ​

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

julia
using BenchmarkTools: BenchmarkGroup
+f

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

Missing docstring.

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

Missing docstring.

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

Benchmark ​

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

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

julia
abstract type SegmentizeMethod end
+plot_trials(segmentize_suite)

julia
abstract type SegmentizeMethod end
 """
     LinearSegments(; max_distance::Real)
 
@@ -172,7 +172,7 @@
     end

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

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

Note

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

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/simplify.html b/dev/source/transformations/simplify.html index 19ada1d9e..5de3354b5 100644 --- a/dev/source/transformations/simplify.html +++ b/dev/source/transformations/simplify.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -29,7 +29,7 @@ f, a, p = poly(original; label = "Original") poly!(simple; label = "Simplified") axislegend(a) -f

Benchmark ​

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

julia
using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
+f

Benchmark ​

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

julia
using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
 import GeometryOps as GO, LibGEOS as LG, GeoInterface as GI
 using CoordinateTransformations
 lg_and_go(geometry) = (GI.convert(LG, geometry), GO.tuples(geometry))
@@ -41,7 +41,7 @@
 usa_poly = GI.getgeom(usa_multipoly, findmax(GO.area.(GI.getgeom(usa_multipoly)))[2]) # isolate the poly with the most area
 usa_centroid = GO.centroid(usa_poly)
 usa_reflected = GO.transform(Translation(usa_centroid...) ∘ LinearMap(Makie.rotmatrix2d(π)) ∘ Translation((-).(usa_centroid)...), usa_poly)
-f, a, p = plot(usa_poly; label = "Original", axis = (; aspect = DataAspect()))#; plot!(usa_reflected; label = "Reflected")

This is the complex polygon we'll be benchmarking.

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

This is the complex polygon we'll be benchmarking.

julia
simplify_suite = BenchmarkGroup(["Simplify"])
 singlepoly_suite = BenchmarkGroup(["Polygon", "title:Polygon simplify", "subtitle:Random blob"])
 
 include(joinpath(dirname(dirname(pathof(GO))), "test", "data", "polygon_generation.jl"))
@@ -55,7 +55,7 @@
     singlepoly_suite["LibGEOS"][GI.npoint(geom)] = @be LG.simplify($geom_lg, 0.1) seconds=1
 end
 
-plot_trials(singlepoly_suite; legend_position=(1, 1, TopRight()), legend_valign = -2, legend_halign = 1.2, legend_orientation = :horizontal)

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

julia
multipoly_suite = BenchmarkGroup(["MultiPolygon", "title:Multipolygon simplify", "subtitle:USA multipolygon"])
 
 for frac in exp10.(LinRange(log10(0.3), log10(1), 6)) # TODO: this example isn't the best.  How can we get this better?
     geom = GO.simplify(usa_multipoly; ratio = frac)
@@ -74,7 +74,7 @@
     # GO-VW : $(GI.npoint( GO.simplify((GO.VisvalingamWhyatt(; tol = _tol)), geom_go)))
     println()
 end
-plot_trials(multipoly_suite)

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

julia
export simplify, VisvalingamWhyatt, DouglasPeucker, RadialDistance
 
 const _SIMPLIFY_TARGET = TraitTarget{Union{GI.PolygonTrait, GI.AbstractCurveTrait, GI.MultiPointTrait, GI.PointTrait}}()
 const MIN_POINTS = 3
@@ -115,7 +115,7 @@
 
 `RadialDistance`, `DouglasPeucker`, or
 `VisvalingamWhyatt` algorithms are available,
-listed in order of increasing quality but decreaseing performance.
+listed in order of increasing quality but decreasing performance.
 
 `PoinTrait` and `MultiPointTrait` are returned unchanged.
 
@@ -166,7 +166,7 @@
  ) = _simplify(DouglasPeucker(; kw...), data; prefilter_alg, calc_extent, threaded, crs)
 
 
-#= For each algorithm, apply simplication to all curves, multipoints, and
+#= For each algorithm, apply simplification to all curves, multipoints, and
 points, reconstructing everything else around them. =#
 function _simplify(alg::Union{SimplifyAlg, GEOS}, data; prefilter_alg=nothing, kw...)
     simplifier(geom) = _simplify(GI.trait(geom), alg, geom; prefilter_alg)
@@ -208,7 +208,7 @@
 $SIMPLIFY_ALG_KEYWORDS
 - `tol`: the minimum distance between points.
 
-Note: user input `tol` is squared to avoid uneccesary computation in algorithm.
+Note: user input `tol` is squared to avoid unnecessary computation in algorithm.
 """
 @kwdef struct RadialDistance <: SimplifyAlg
     number::Union{Int64,Nothing} = nothing
@@ -241,7 +241,7 @@
 distance from the line between its neighboring points.
 
 $DOUGLAS_PEUCKER_KEYWORDS
-Note: user input `tol` is squared to avoid uneccesary computation in algorithm.
+Note: user input `tol` is squared to avoid unnecessary computation in algorithm.
 """
 @kwdef struct DouglasPeucker <: SimplifyAlg
     number::Union{Int64,Nothing} = nothing
@@ -258,7 +258,7 @@
 (https://en.wikipedia.org/wiki/Ramer-Douglas-Peucker_algorithm). =#
 function _simplify(alg::DouglasPeucker, points::Vector, preserve_endpoint)
     npoints = length(points)
-    npoints <= MIN_POINTS && return points

Determine stopping critetia

julia
    max_points = if !isnothing(alg.tol)
+    npoints <= MIN_POINTS && return points

Determine stopping criteria

julia
    max_points = if !isnothing(alg.tol)
         npoints
     else
         npts = !isnothing(alg.number) ? alg.number : max(3, round(Int, alg.ratio * npoints))
@@ -324,7 +324,7 @@
 end
 
 #= find maximum distance of any point between the start_idx and end_idx to the line formed
-by conencting the points at start_idx and end_idx. Note that the first index of maximum
+by connecting the points at start_idx and end_idx. Note that the first index of maximum
 value will be used, which might cause differences in results from other algorithms.=#
 function _find_max_squared_dist(points, start_idx, end_idx)
     max_idx = start_idx
@@ -348,7 +348,7 @@
 $SIMPLIFY_ALG_KEYWORDS
 - `tol`: the minimum area of a triangle made with a point and
     its neighboring points.
-Note: user input `tol` is doubled to avoid uneccesary computation in algorithm.
+Note: user input `tol` is doubled to avoid unnecessary computation in algorithm.
 """
 @kwdef struct VisvalingamWhyatt <: SimplifyAlg
     number::Union{Int,Nothing} = nothing
@@ -507,7 +507,7 @@
     end
     return nothing
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/transform.html b/dev/source/transformations/transform.html index 5243162b9..c83255441 100644 --- a/dev/source/transformations/transform.html +++ b/dev/source/transformations/transform.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -49,7 +49,7 @@ rraysCore.SVector{2, Float64}[[6.5, 5.5], [8.5, 7.5], [9.5, 8.5], [6.5, 5.5]], nothing, nothing)], nothing, nothing) ``` -With Rotations.jl you need to actuall multiply the Rotation +With Rotations.jl you need to actually multiply the Rotation by the `SVector` point, which is easy using an anonymous function. ```julia @@ -73,7 +73,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/transformations/tuples.html b/dev/source/transformations/tuples.html index 80bbd788c..d51fcf35a 100644 --- a/dev/source/transformations/tuples.html +++ b/dev/source/transformations/tuples.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -37,7 +37,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/types.html b/dev/source/types.html index 5e9f9d637..35baed4e9 100644 --- a/dev/source/types.html +++ b/dev/source/types.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -85,7 +85,7 @@ error("$(f) requires a `$(kw)` keyword argument to the `GEOS` algorithm, which was not provided.") end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/source/utils.html b/dev/source/utils.html index d315e1eba..2c0460b99 100644 --- a/dev/source/utils.html +++ b/dev/source/utils.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -138,7 +138,7 @@ (x1, x2), (y1, y2) = extent.X, extent.Y return x1 ≤ GI.x(p) ≤ x2 && y1 ≤ GI.y(p) ≤ y2 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/dev/tutorials/creating_geometry.html b/dev/tutorials/creating_geometry.html index 09c3ba1ab..eb245e6d5 100644 --- a/dev/tutorials/creating_geometry.html +++ b/dev/tutorials/creating_geometry.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -28,37 +28,37 @@ import Proj # Plotting using CairoMakie -using GeoMakie

Creating and plotting geometries ​

Let's start by making a single Point.

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

Now, let's plot our point.

julia
fig, ax, plt = plot(point)

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

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

Creating and plotting geometries ​

Let's start by making a single Point.

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

Now, let's plot our point.

julia
fig, ax, plt = plot(point)

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

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

Points can be combined into a single MultiPoint geometry.

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

Points can be combined into a single MultiPoint geometry.

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

Let's create a LineString connecting two points.

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

Let's create a LineString connecting two points.

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

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

julia
r = 2;
+fig

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

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

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

A LinearRing is composed of a series of points.

julia
ring1 = GI.LinearRing(GI.getpoint(lines));
GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)

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

julia
polygon1 = GI.Polygon([ring1]);
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)], nothing, nothing)

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

julia
xoffset = 0.;
+fig

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

A LinearRing is composed of a series of points.

julia
ring1 = GI.LinearRing(GI.getpoint(lines));
GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)

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

julia
polygon1 = GI.Polygon([ring1]);
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)], nothing, nothing)

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

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

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

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

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

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

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

julia
hole = GI.LinearRing(GI.getpoint(multipoint))
 polygon2 = GI.Polygon([ring1, hole])
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, T, Nothing, Nothing} where T}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, T, Nothing, Nothing} where T[GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((-5, -5), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((-5, 5), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((5, 5), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((5, -5), nothing)], nothing, nothing)], nothing, nothing)

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

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

Polygons can also be grouped together as a MultiPolygon.

julia
r = 5;
+fig

Polygons can also be grouped together as a MultiPolygon.

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

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

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

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

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

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

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

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

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

julia
land_path = GeoMakie.assetpath("ne_110m_land.geojson")
"/home/runner/.julia/packages/GeoMakie/nOel0/assets/ne_110m_land.geojson"

Note

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

Read the land MultiPolygons as a GeoJSON.FeatureCollection.

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

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

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

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

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

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

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

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

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

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

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

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

Note

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

Read the land MultiPolygons as a GeoJSON.FeatureCollection.

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

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

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

Plot land for context.

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

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

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

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

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

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

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

julia
r = 1000000;
+fig

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

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

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

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

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

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

julia
r = 1000000;
 ϴ = 0:0.01:2pi;
 x = r .* cos.(ϴ).^3 .+ 500000;
 y = r .* sin.(ϴ) .^ 3 .+5000000;
629-element Vector{Float64}:
@@ -87,12 +87,12 @@
  ⋮
  5.0e6
  5.0e6

Now create a LinearRing from Points

julia
ring3 = GI.LinearRing(Point.(zip(x, y)))
GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[1.5e6, 5.0e6], [1.4998500087497458e6, 5.000000999950001e6], [1.4994001399837343e6, 5.000007998400139e6], [1.4986507085647392e6, 5.000026987852369e6], [1.4976022389592e6, 5.000063948817746e6], [1.4962554647802354e6, 5.000124843834609e6], [1.4946113281484335e6, 5.000215611503127e6], [1.4926709788709967e6, 5.000342160541625e6], [1.4904357734399722e6, 5.000510363870095e6], [1.4879072738504685e6, 5.0007260527263e6]  …  [1.4870405593989636e6, 4.999194331880103e6], [1.4896621210021754e6, 4.999426363321033e6], [1.491990928929295e6, 4.999609061508909e6], [1.4940253560034204e6, 4.999748243174828e6], [1.4957639801366436e6, 4.999849768598615e6], [1.497205585568957e6, 4.999919535736425e6], [1.4983491639274692e6, 4.999963474314044e6], [1.4991939151049731e6, 4.999987539891298e6], [1.4997392479570867e6, 4.999997707902938e6], [1.499984780817334e6, 4.999999967681458e6]], nothing, nothing)

Now create a Polygon from the LineRing

julia
polygon3 = GI.Polygon([ring3])
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[1.5e6, 5.0e6], [1.4998500087497458e6, 5.000000999950001e6], [1.4994001399837343e6, 5.000007998400139e6], [1.4986507085647392e6, 5.000026987852369e6], [1.4976022389592e6, 5.000063948817746e6], [1.4962554647802354e6, 5.000124843834609e6], [1.4946113281484335e6, 5.000215611503127e6], [1.4926709788709967e6, 5.000342160541625e6], [1.4904357734399722e6, 5.000510363870095e6], [1.4879072738504685e6, 5.0007260527263e6]  …  [1.4870405593989636e6, 4.999194331880103e6], [1.4896621210021754e6, 4.999426363321033e6], [1.491990928929295e6, 4.999609061508909e6], [1.4940253560034204e6, 4.999748243174828e6], [1.4957639801366436e6, 4.999849768598615e6], [1.497205585568957e6, 4.999919535736425e6], [1.4983491639274692e6, 4.999963474314044e6], [1.4991939151049731e6, 4.999987539891298e6], [1.4997392479570867e6, 4.999997707902938e6], [1.499984780817334e6, 4.999999967681458e6]], nothing, nothing)], nothing, nothing)

Now plot on the existing GeoAxis.

Note

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

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

Create geospatial geometries with embedded coordinate reference system information ​

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

Let's do this for a new Polygon

julia
r = 3;
+fig

Create geospatial geometries with embedded coordinate reference system information ​

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

Let's do this for a new Polygon

julia
r = 3;
 k = 7;
 ϴ = 0:0.01:2pi;
 x = r .* (k + 1) .* cos.(ϴ) .- r .* cos.((k + 1) .* ϴ);
 y = r .* (k + 1) .* sin.(ϴ) .- r .* sin.((k + 1) .* ϴ);
-ring4 = GI.LinearRing(Point.(zip(x, y)))
GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[21.0, 0.0], [21.00839489109211, 0.00025191811248184703], [21.033518309870985, 0.0020133807972559925], [21.075186885419612, 0.006784125578492062], [21.13309630561615, 0.016044338630866517], [21.206823267470536, 0.031245035570328428], [21.29582819010705, 0.053798628882221644], [21.39945867303846, 0.08506974233813636], [21.516953677609987, 0.12636633117296836], [21.64744840486518, 0.17893116483784577]  …  [21.69159119078359, -0.19823293781563178], [21.557153362189904, -0.14182952335952814], [21.43541888381864, -0.09707519809793252], [21.327284472232776, -0.06274967861547665], [21.233544778745394, -0.03756486776283019], [21.15488729606723, -0.020173244847778715], [21.091887951911644, -0.0091766360295773], [21.045007417743918, -0.0031353088009582475], [21.01458815628695, -0.0005773323690041465], [21.00085222666982, -8.14404531208901e-6]], nothing, nothing)

But this time when we create the Polygon we beed to specify the CRS at the time of creation, making it a geospatial polygon

julia
geopoly1 = GI.Polygon([ring4], crs = source_crs1)
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}}, Nothing, GeoFormatTypes.EPSG{1}}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[21.0, 0.0], [21.00839489109211, 0.00025191811248184703], [21.033518309870985, 0.0020133807972559925], [21.075186885419612, 0.006784125578492062], [21.13309630561615, 0.016044338630866517], [21.206823267470536, 0.031245035570328428], [21.29582819010705, 0.053798628882221644], [21.39945867303846, 0.08506974233813636], [21.516953677609987, 0.12636633117296836], [21.64744840486518, 0.17893116483784577]  …  [21.69159119078359, -0.19823293781563178], [21.557153362189904, -0.14182952335952814], [21.43541888381864, -0.09707519809793252], [21.327284472232776, -0.06274967861547665], [21.233544778745394, -0.03756486776283019], [21.15488729606723, -0.020173244847778715], [21.091887951911644, -0.0091766360295773], [21.045007417743918, -0.0031353088009582475], [21.01458815628695, -0.0005773323690041465], [21.00085222666982, -8.14404531208901e-6]], nothing, nothing)], nothing, GeoFormatTypes.EPSG{1}((4326,)))

Note

It is good practice to only include CRS information with the highest-level geometry. Not doing so can bloat the memory footprint of the geometry. CRS information can be included at the individual Point level but is discouraged.

And let's create second Polygon by shifting the first using CoordinateTransformations

julia
xoffset = 20.;
+ring4 = GI.LinearRing(Point.(zip(x, y)))
GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[21.0, 0.0], [21.00839489109211, 0.00025191811248184703], [21.033518309870985, 0.0020133807972559925], [21.075186885419612, 0.006784125578492062], [21.13309630561615, 0.016044338630866517], [21.206823267470536, 0.031245035570328428], [21.29582819010705, 0.053798628882221644], [21.39945867303846, 0.08506974233813636], [21.516953677609987, 0.12636633117296836], [21.64744840486518, 0.17893116483784577]  …  [21.69159119078359, -0.19823293781563178], [21.557153362189904, -0.14182952335952814], [21.43541888381864, -0.09707519809793252], [21.327284472232776, -0.06274967861547665], [21.233544778745394, -0.03756486776283019], [21.15488729606723, -0.020173244847778715], [21.091887951911644, -0.0091766360295773], [21.045007417743918, -0.0031353088009582475], [21.01458815628695, -0.0005773323690041465], [21.00085222666982, -8.14404531208901e-6]], nothing, nothing)

But this time when we create the Polygon we need to specify the CRS at the time of creation, making it a geospatial polygon

julia
geopoly1 = GI.Polygon([ring4], crs = source_crs1)
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}}, Nothing, GeoFormatTypes.EPSG{1}}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[21.0, 0.0], [21.00839489109211, 0.00025191811248184703], [21.033518309870985, 0.0020133807972559925], [21.075186885419612, 0.006784125578492062], [21.13309630561615, 0.016044338630866517], [21.206823267470536, 0.031245035570328428], [21.29582819010705, 0.053798628882221644], [21.39945867303846, 0.08506974233813636], [21.516953677609987, 0.12636633117296836], [21.64744840486518, 0.17893116483784577]  …  [21.69159119078359, -0.19823293781563178], [21.557153362189904, -0.14182952335952814], [21.43541888381864, -0.09707519809793252], [21.327284472232776, -0.06274967861547665], [21.233544778745394, -0.03756486776283019], [21.15488729606723, -0.020173244847778715], [21.091887951911644, -0.0091766360295773], [21.045007417743918, -0.0031353088009582475], [21.01458815628695, -0.0005773323690041465], [21.00085222666982, -8.14404531208901e-6]], nothing, nothing)], nothing, GeoFormatTypes.EPSG{1}((4326,)))

Note

It is good practice to only include CRS information with the highest-level geometry. Not doing so can bloat the memory footprint of the geometry. CRS information can be included at the individual Point level but is discouraged.

And let's create second Polygon by shifting the first using CoordinateTransformations

julia
xoffset = 20.;
 yoffset = -25.;
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 geopoly2 = GO.transform(f, geopoly1);
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, GeoFormatTypes.EPSG{1}}}, Nothing, GeoFormatTypes.EPSG{1}}(GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, GeoFormatTypes.EPSG{1}}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Float64}}, Nothing, GeoFormatTypes.EPSG{1}}(StaticArraysCore.SVector{2, Float64}[[41.0, -25.0], [41.00839489109211, -24.999748081887518], [41.033518309870985, -24.997986619202745], [41.07518688541961, -24.99321587442151], [41.13309630561615, -24.983955661369134], [41.20682326747054, -24.96875496442967], [41.295828190107045, -24.946201371117777], [41.39945867303846, -24.914930257661865], [41.51695367760999, -24.873633668827033], [41.64744840486518, -24.821068835162155]  …  [41.69159119078359, -25.198232937815632], [41.55715336218991, -25.14182952335953], [41.43541888381864, -25.097075198097933], [41.327284472232776, -25.062749678615475], [41.2335447787454, -25.037564867762832], [41.15488729606723, -25.02017324484778], [41.091887951911644, -25.009176636029576], [41.04500741774392, -25.003135308800957], [41.01458815628695, -25.000577332369005], [41.00085222666982, -25.000008144045314]], nothing, GeoFormatTypes.EPSG{1}((4326,)))], nothing, GeoFormatTypes.EPSG{1}((4326,)))

Creating a table with attributes and geometry ​

Typically, you'll also want to include attributes with your geometries. Attributes are simply data that are attributed to each geometry. The easiest way to do this is to create a table with a :geometry column. Let's do this using DataFrames.

julia
using DataFrames
@@ -107,7 +107,7 @@
 GeoParquet.write(fn, df, (:geometry,))
"shapes.parquet"

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

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

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

- + \ No newline at end of file diff --git a/dev/tutorials/spatial_joins.html b/dev/tutorials/spatial_joins.html index 84ab9e4a2..94f24547c 100644 --- a/dev/tutorials/spatial_joins.html +++ b/dev/tutorials/spatial_joins.html @@ -8,11 +8,11 @@ - + - - - + + + @@ -28,14 +28,14 @@ pl = GI.Polygon([GI.LinearRing([(0, 0), (1, 0), (1, 1), (0, 0)])]) pu = GI.Polygon([GI.LinearRing([(0, 0), (0, 1), (1, 1), (0, 0)])]) poly_df = DataFrame(geometry = [pl, pu], color = [:red, :blue]) -f, a, p = poly(poly_df.geometry; color = tuple.(poly_df.color, 0.3))

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

Now, we generate the points.

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

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

Now, we generate the points.

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

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

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

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

julia
@time joined_df = FlexiJoins.innerjoin(
+f

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

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

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

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

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

Real-world example ​

Suppose I have a list of polygons representing administrative regions (or mining sites, or what have you), and I have a list of polygons for each country. I want to find the country each region is in.

julia
import GeoInterface as GI, GeometryOps as GO
+f

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

Real-world example ​

Suppose I have a list of polygons representing administrative regions (or mining sites, or what have you), and I have a list of polygons for each country. I want to find the country each region is in.

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

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

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