diff --git a/previews/PR206/404.html b/previews/PR206/404.html index 688cd105b..ff2f9596c 100644 --- a/previews/PR206/404.html +++ b/previews/PR206/404.html @@ -8,15 +8,14 @@ - + -
- + \ No newline at end of file diff --git a/previews/PR206/api.html b/previews/PR206/api.html index f7bbfff95..b4875ee7b 100644 --- a/previews/PR206/api.html +++ b/previews/PR206/api.html @@ -8,26 +8,25 @@ - + - + - - + -
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)])])
 
 flipped_geom = GO.apply(GI.PointTrait, geom) do p
     (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)
+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 reference system, as a GeoFormatTypes.jl object or a string.
  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.
If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).
Keywords
  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.
  • time: the time for the coordinates. Inf by default.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
source

# GeometryOps.transform — Function. 
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
+reproject(geometry, transform; always_xy, time)
Reproject any GeoInterface.jl compatible geometry from source_crs to target_crs.
The returned object will be constructed from GeoInterface.WrapperGeometry geometries, wrapping views of a Vector{Proj.Point{D}}, where D is the dimension.
Tip
The Proj.jl package must be loaded for this method to work, since it is implemented in a package extension.
Arguments
  • geometry: Any GeoInterface.jl compatible geometries.
  • source_crs: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.
  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.
If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).
Keywords
  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.
  • time: the time for the coordinates. Inf by default.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
source
# GeometryOps.transform Function
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
 
 julia> import GeometryOps as GO
 
@@ -46,41 +45,41 @@
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source

General geometry methods ​
OGC methods ​
# GeometryOps.contains — Function. 
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
General geometry methods ​
OGC methods ​
# GeometryOps.contains Function
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true
source

# GeometryOps.coveredby — Function. 
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
# GeometryOps.coveredby Function
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true
source

# GeometryOps.covers — Function. 
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
# GeometryOps.covers Function
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true
source

# GeometryOps.crosses — Function. 
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example
source

# GeometryOps.disjoint — Function. 
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
# GeometryOps.crosses Function
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example
source
# GeometryOps.disjoint Function
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true
source

# GeometryOps.intersects — Function. 
julia
intersects(geom1, geom2)::Bool
Return true if the interiors or boundaries of the two geometries interact.
intersects returns the exact opposite result of disjoint.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+true
source
# GeometryOps.intersects Function
julia
intersects(geom1, geom2)::Bool
Return true if the interiors or boundaries of the two geometries interact.
intersects returns the exact opposite result of disjoint.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
 GO.intersects(line1, line2)
 
 # output
-true
source

# GeometryOps.overlaps — Function. 
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
# GeometryOps.overlaps Function
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
@@ -104,21 +103,21 @@
 )::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source

# GeometryOps.touches — Function. 
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
# GeometryOps.touches Function
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true
source

# GeometryOps.within — Function. 
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
# GeometryOps.within Function
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true
source

Other general methods ​
# GeometryOps.equals — Function. 
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
Other general methods ​
# GeometryOps.equals Function
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
@@ -136,70 +135,70 @@
 )::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source

# GeometryOps.centroid — Function. 
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source

# GeometryOps.distance — Function. 
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source

# GeometryOps.signed_distance — Function. 
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source

# GeometryOps.area — Function. 
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
+)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
# GeometryOps.centroid Function
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
# GeometryOps.distance Function
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
# GeometryOps.signed_distance Function
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
# GeometryOps.area Function
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source

# GeometryOps.signed_area — Function. 
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
+    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
# GeometryOps.signed_area Function
julia
signed_area(geom, [T = Float64])::T
Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:
- The signed area of a point is always zero.
 - The signed area of a curve is always zero.
 - The signed area of a polygon is computed with the shoelace formula and is
 positive if the polygon coordinates wind clockwise and negative if
 counterclockwise.
 - You cannot compute the signed area of a multipolygon as it doesn't have a
-meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source

# GeometryOps.angles — Function. 
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
+meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
# GeometryOps.angles Function
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source

# GeometryOps.embed_extent — Function. 
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source

Barycentric coordinates ​
# GeometryOps.barycentric_coordinates — Function. 
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source

# GeometryOps.barycentric_coordinates! — Function. 
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source

# GeometryOps.barycentric_interpolate — Function. 
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source

Other methods ​
# GeometryOps.AbstractBarycentricCoordinateMethod — Type. 
julia
abstract type AbstractBarycentricCoordinateMethod
Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.
API
The following methods must be implemented for all subtypes:
  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V
The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.
source

# GeometryOps.ClosedRing — Type. 
julia
ClosedRing() <: GeometryCorrection
This correction ensures that a polygon's exterior and interior rings are closed.
It can be called on any geometry correction as usual.
See also GeometryCorrection.
source

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

# GeometryOps.DouglasPeucker — Type. 
julia
DouglasPeucker <: SimplifyAlg
+    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source
# GeometryOps.embed_extent Function
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
Barycentric coordinates ​
# GeometryOps.barycentric_coordinates Function
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
# GeometryOps.barycentric_coordinates! Function
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
# GeometryOps.barycentric_interpolate Function
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
Other methods ​
# GeometryOps.AbstractBarycentricCoordinateMethod Type
julia
abstract type AbstractBarycentricCoordinateMethod
Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.
API
The following methods must be implemented for all subtypes:
  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V
  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V
The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.
source
# GeometryOps.ClosedRing Type
julia
ClosedRing() <: GeometryCorrection
This correction ensures that a polygon's exterior and interior rings are closed.
It can be called on any geometry correction as usual.
See also GeometryCorrection.
source
# GeometryOps.DiffIntersectingPolygons Type
julia
DiffIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygons included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be made nonintersecting through the difference operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also GeometryCorrection, UnionIntersectingPolygons.
source
# GeometryOps.DouglasPeucker Type
julia
DouglasPeucker <: SimplifyAlg
 
-DouglasPeucker(; number, ratio, tol)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance a point will be from the line joining its neighboring points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source

# GeometryOps.GEOS — Type. 
julia
GEOS(; params...)
A struct which instructs the method it's passed to as an algorithm to use the appropriate GEOS function via LibGEOS.jl for the operation.
Dispatch is generally carried out using the names of the keyword arguments. For example, segmentize will only accept a GEOS struct with only a max_distance keyword, and no other.
It's generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!
source

# GeometryOps.GeodesicSegments — Type. 
julia
GeodesicSegments(; max_distance::Real, equatorial_radius::Real=6378137, flattening::Real=1/298.257223563)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.
Warning
Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.
Arguments
  • max_distance::Real: The maximum distance, in meters, between vertices in the geometry.
  • equatorial_radius::Real=6378137: The equatorial radius of the Earth, in meters. Passed to Proj.geod_geodesic.
  • flattening::Real=1/298.257223563: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to Proj.geod_geodesic.
One can also omit the equatorial_radius and flattening keyword arguments, and pass a geodesic object directly to the eponymous keyword.
This method uses the Proj/GeographicLib API for geodesic calculations.
source

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

# GeometryOps.LineOrientation — Type. 
julia
Enum LineOrientation
Enum for the orientation of a line with respect to a curve. A line can be line_cross (crossing over the curve), line_hinge (crossing the endpoint of the curve), line_over (collinear with the curve), or line_out (not interacting with the curve).
source

# GeometryOps.LinearSegments — Type. 
julia
LinearSegments(; max_distance::Real)
A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.
Here, max_distance is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the max_distance will be in degrees of arc. If the polygon is provided in meters, then the max_distance will be in meters.
source

# GeometryOps.MeanValue — Type. 
julia
MeanValue() <: AbstractBarycentricCoordinateMethod
This method calculates barycentric coordinates using the mean value method.
References
source

# GeometryOps.MonotoneChainMethod — Type. 
julia
MonotoneChainMethod()
This is an algorithm for the convex_hull function.
Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.
See also convex_hull
source

# GeometryOps.PointOrientation — Type. 
julia
Enum PointOrientation
Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.
source

# GeometryOps.RadialDistance — Type. 
julia
RadialDistance <: SimplifyAlg
Simplifies geometries by removing points less than tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance between points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source

# GeometryOps.SimplifyAlg — Type. 
julia
abstract type SimplifyAlg
Abstract type for simplification algorithms.
API
For now, the algorithm must hold the number, ratio and tol properties.
Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.
source

# GeometryOps.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.MonotoneChainMethod Type
julia
MonotoneChainMethod()
This is an algorithm for the convex_hull function.
Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.
See also convex_hull
source
# GeometryOps.PointOrientation Type
julia
Enum PointOrientation
Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.
source
# GeometryOps.RadialDistance Type
julia
RadialDistance <: SimplifyAlg
Simplifies geometries by removing points less than tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance between points.
Note: user input tol is squared to avoid unnecessary computation in algorithm.
source
# GeometryOps.SimplifyAlg Type
julia
abstract type SimplifyAlg
Abstract type for simplification algorithms.
API
For now, the algorithm must hold the number, ratio and tol properties.
Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.
source
# GeometryOps.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.
 TraitTarget(GI.PointTrait)
 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
+# 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 unnecessary computation in algorithm.
source

# GeometryOps._det — Method. 
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}
Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.
Specifically, this is:
julia
s1[1] * s2[2] - s1[2] * s2[1]
source

# GeometryOps._equals_curves — Method. 
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool
Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)
source

# GeometryOps.angles — Method. 
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
+VisvalingamWhyatt(; kw...)
Simplifies geometries by removing points below tol distance from the line between its neighboring points.
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum area of a triangle made with a point and its neighboring points.
Note: user input tol is doubled to avoid unnecessary computation in algorithm.
source
# GeometryOps._det Method
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}
Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.
Specifically, this is:
julia
s1[1] * s2[2] - s1[2] * s2[1]
source
# GeometryOps._equals_curves Method
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool
Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)
source
# GeometryOps.angles Method
julia
angles(geom, ::Type{T} = Float64)
Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:
- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.
Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.
source

# GeometryOps.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
+    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
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
 
 flipped_geom = GO.apply(GI.PointTrait, geom) do p
     (GI.y(p), GI.x(p))
-end
source

# GeometryOps.applyreduce — Method. 
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.area — Method. 
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
+end
source
# GeometryOps.applyreduce Method
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.area Method
julia
area(geom, [T = Float64])::T
Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:
- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source

# GeometryOps.barycentric_coordinates! — Method. 
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source

# GeometryOps.barycentric_coordinates — Method. 
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source

# GeometryOps.barycentric_interpolate — Method. 
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source

# GeometryOps.centroid — Method. 
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source

# GeometryOps.centroid_and_area — Method. 
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and area of a given geometry.
source

# GeometryOps.centroid_and_length — Method. 
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.
source

# GeometryOps.contains — Method. 
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+    is the sum of the areas of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
# GeometryOps.barycentric_coordinates! Method
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)
Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.
λs must be of the length of the polygon plus its holes.
Tip
Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.
source
# GeometryOps.barycentric_coordinates Method
julia
barycentric_coordinates(method = MeanValue(), polygon, point)
Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.
source
# GeometryOps.barycentric_interpolate Method
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)
Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.
Returns an object of type V.
Warning
Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).
source
# GeometryOps.centroid Method
julia
centroid(geom, [T=Float64])::Tuple{T, T}
Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.
source
# GeometryOps.centroid_and_area Method
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and area of a given geometry.
source
# GeometryOps.centroid_and_length Method
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)
Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.
source
# GeometryOps.contains Method
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).
contains returns the exact opposite result of within.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true
source

# GeometryOps.convex_hull — Function. 
julia
convex_hull([method], geometries)
Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.
Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.
Warning
This interface only computes the 2-dimensional convex hull!
For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).
source

# GeometryOps.coverage — Method. 
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T
Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:
  • The signed area of a point is always zero.
  • The signed area of a curve is always zero.
  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.
  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source

# GeometryOps.coveredby — Method. 
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
# GeometryOps.convex_hull Function
julia
convex_hull([method], geometries)
Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.
Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.
Warning
This interface only computes the 2-dimensional convex hull!
For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).
source
# GeometryOps.coverage Method
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T
Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:
  • The signed area of a point is always zero.
  • The signed area of a curve is always zero.
  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.
  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
# GeometryOps.coveredby Method
julia
coveredby(g1, g2)::Bool
Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).
Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true
source

# GeometryOps.covers — Method. 
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
# GeometryOps.covers Method
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.
covers returns the exact opposite result of coveredby.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true
source

# GeometryOps.crosses — Method. 
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example
source

# GeometryOps.cut — Method. 
julia
cut(geom, line, [T::Type])
Return given geom cut by given line as a list of geometries of the same type as the input geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.
Note: This currently doesn't work for degenerate cases there line crosses through vertices.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+true
source
# GeometryOps.crosses Method
julia
 crosses(geom1, geom2)::Bool
Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.
TODO: broken
Examples
julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example
source
# GeometryOps.cut Method
julia
cut(geom, line, [T::Type])
Return given geom cut by given line as a list of geometries of the same type as the input geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.
Note: This currently doesn't work for degenerate cases there line crosses through vertices.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0.0, 0.0), (10.0, 0.0), (10.0, 10.0), (0.0, 10.0), (0.0, 0.0)]])
 line = GI.Line([(5.0, -5.0), (5.0, 15.0)])
@@ -209,7 +208,7 @@
 # output
 2-element Vector{Vector{Vector{Vector{Float64}}}}:
  [[[0.0, 0.0], [5.0, 0.0], [5.0, 10.0], [0.0, 10.0], [0.0, 0.0]]]
- [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]
source

# GeometryOps.difference — Method. 
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+ [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]
source
# GeometryOps.difference Method
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 poly1 = GI.Polygon([[[0.0, 0.0], [5.0, 5.0], [10.0, 0.0], [5.0, -5.0], [0.0, 0.0]]])
 poly2 = GI.Polygon([[[3.0, 0.0], [8.0, 5.0], [13.0, 0.0], [8.0, -5.0], [3.0, 0.0]]])
@@ -218,33 +217,33 @@
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]
source

# GeometryOps.disjoint — Method. 
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]
source
# GeometryOps.disjoint Method
julia
disjoint(geom1, geom2)::Bool
Return true if the first geometry is disjoint from the second geometry.
Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true
source

# GeometryOps.distance — Method. 
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source

# GeometryOps.embed_extent — Method. 
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source

# GeometryOps.enforce — Method. 
julia
enforce(alg::GO.GEOS, kw::Symbol, f)
Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].
Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).
source

# GeometryOps.equals — Method. 
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source

# GeometryOps.equals — Method. 
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+true
source
# GeometryOps.distance Method
julia
distance(point, geom, ::Type{T} = Float64)::T
Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.
The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
# GeometryOps.embed_extent Method
julia
embed_extent(obj)
Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.
This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
source
# GeometryOps.enforce Method
julia
enforce(alg::GO.GEOS, kw::Symbol, f)
Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].
Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).
source
# GeometryOps.equals Method
julia
equals(trait_a, geom_a, trait_b, geom_b)
Two geometries which are not of the same type cannot be equal so they always return false.
source
# GeometryOps.equals Method
julia
equals(geom1, geom2)::Bool
Compare two Geometries return true if they are the same geometry.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
 GO.equals(poly1, poly2)
 # output
-true
source

# GeometryOps.equals — Method. 
julia
equals(
+true
source
# GeometryOps.equals Method
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source

# GeometryOps.equals — Method. 
julia
equals(
+)::Bool
Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.
source
# GeometryOps.equals Method
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source

# GeometryOps.equals — Method. 
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source

# GeometryOps.equals — Method. 
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source

# GeometryOps.equals — Method. 
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source

# GeometryOps.equals — Method. 
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source

# GeometryOps.equals — Method. 
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source

# GeometryOps.equals — Method. 
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source

# GeometryOps.equals — Method. 
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source

# GeometryOps.equals — Method. 
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source

# GeometryOps.equals — Method. 
julia
equals(
+)::Bool
A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
# GeometryOps.equals Method
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool
Two multipoints are equal if they share the same set of points.
source
# GeometryOps.equals Method
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
# GeometryOps.equals Method
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two multipolygons are equal if they share the same set of polygons.
source
# GeometryOps.equals Method
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
# GeometryOps.equals Method
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool
A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.
source
# GeometryOps.equals Method
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool
Two points are the same if they have the same x and y (and z if 3D) coordinates.
source
# GeometryOps.equals Method
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool
A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.
source
# GeometryOps.equals Method
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool
Two polygons are equal if they share the same exterior edge and holes.
source
# GeometryOps.equals Method
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source

# GeometryOps.equals — Method. 
julia
equals(
+)::Bool
A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal
source
# GeometryOps.equals Method
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool
Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.
source

# GeometryOps.equals — Method. 
julia
equals(::T, geom_a, ::T, geom_b)::Bool
Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.
source

# GeometryOps.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
+)::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)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
@@ -253,7 +252,7 @@
 
 # output
 1-element Vector{Vector{Float64}}:
- [125.58375366067548, -14.83572303404496]
source

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

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

 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)]) line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)]) inter_points = GO.intersection_points(line1, line2)
 
 **output**
@@ -263,11 +262,10 @@
 
 [source](https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/intersection.jl#L177-L195)
 
-</div>
-<br>
-<div style='border-width:1px; border-style:solid; border-color:black; padding: 1em; border-radius: 25px;'>
-<a id='GeometryOps.intersects-Tuple{Any, Any}' href='#GeometryOps.intersects-Tuple{Any, Any}'>#</a>&nbsp;<b><u>GeometryOps.intersects</u></b> &mdash; <i>Method</i>.
+</details>
 
+<details class='jldocstring custom-block' open>
+<summary><a id='GeometryOps.intersects-Tuple{Any, Any}' href='#GeometryOps.intersects-Tuple{Any, Any}'>#</a> <span class="jlbinding">GeometryOps.intersects</span> <Badge type="info" class="jlObjectType jlMethod" text="Method" /></summary>
 
 
 
@@ -279,57 +277,57 @@
 GO.intersects(line1, line2)
 
 # output
-true
source

# GeometryOps.isclockwise — Method. 
julia
isclockwise(line::Union{LineString, Vector{Position}})::Bool
Take a ring and return true if the line goes clockwise, or false if the line goes counter-clockwise. "Going clockwise" means, mathematically,
(∑i=2n(xi−xi−1)⋅(yi+yi−1))>0
Example
julia
julia> import GeoInterface as GI, GeometryOps as GO
+true
source
# GeometryOps.isclockwise Method
julia
isclockwise(line::Union{LineString, Vector{Position}})::Bool
Take a ring and return true if the line goes clockwise, or false if the line goes counter-clockwise. "Going clockwise" means, mathematically,
(∑i=2n(xi−xi−1)⋅(yi+yi−1))>0
Example
julia
julia> import GeoInterface as GI, GeometryOps as GO
 julia> ring = GI.LinearRing([(0, 0), (1, 1), (1, 0), (0, 0)]);
 julia> GO.isclockwise(ring)
 # output
-true
source

# GeometryOps.isconcave — Method. 
julia
isconcave(poly::Polygon)::Bool
Take a polygon and return true or false as to whether it is concave or not.
Examples
julia
import GeoInterface as GI, GeometryOps as GO
+true
source
# GeometryOps.isconcave Method
julia
isconcave(poly::Polygon)::Bool
Take a polygon and return true or false as to whether it is concave or not.
Examples
julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0, 0), (0, 1), (1, 1), (1, 0), (0, 0)]])
 GO.isconcave(poly)
 
 # output
-false
source

# GeometryOps.overlaps — Method. 
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+false
source
# GeometryOps.overlaps Method
julia
overlaps(geom1, geom2)::Bool
Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
 GO.overlaps(poly1, poly2)
 # output
-true
source

# GeometryOps.overlaps — Method. 
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source

# GeometryOps.overlaps — Method. 
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source

# GeometryOps.overlaps — Method. 
julia
overlaps(
+true
source
# GeometryOps.overlaps Method
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool
For any non-specified pair, all have non-matching dimensions, return false.
source
# GeometryOps.overlaps Method
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool
If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.
source
# GeometryOps.overlaps Method
julia
overlaps(
     ::GI.MultiPointTrait, points1,
     ::GI.MultiPointTrait, points2,
-)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source

# GeometryOps.overlaps — Method. 
julia
overlaps(
+)::Bool
If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.
source
# GeometryOps.overlaps Method
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source

# GeometryOps.overlaps — Method. 
julia
overlaps(
+)::Bool
Return true if at least one pair of polygons from multipolygons overlap. Else false.
source
# GeometryOps.overlaps Method
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.PolygonTrait, poly2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source

# GeometryOps.overlaps — Method. 
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
# GeometryOps.overlaps Method
julia
overlaps(
     ::GI.PolygonTrait, poly1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source

# GeometryOps.overlaps — Method. 
julia
overlaps(
+)::Bool
Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.
source
# GeometryOps.overlaps Method
julia
overlaps(
     trait_a::GI.PolygonTrait, poly_a,
     trait_b::GI.PolygonTrait, poly_b,
-)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source

# GeometryOps.overlaps — Method. 
julia
overlaps(
+)::Bool
If the two polygons intersect with one another, but are not equal, return true. Else false.
source
# GeometryOps.overlaps Method
julia
overlaps(
     ::Union{GI.LineStringTrait, GI.LinearRing}, line1,
     ::Union{GI.LineStringTrait, GI.LinearRing}, line2,
-)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source

# GeometryOps.polygon_to_line — Method. 
julia
polygon_to_line(poly::Polygon)
Converts a Polygon to LineString or MultiLineString
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool
If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.
source
# GeometryOps.polygon_to_line Method
julia
polygon_to_line(poly::Polygon)
Converts a Polygon to LineString or MultiLineString
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 poly = GI.Polygon([[(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)]])
 GO.polygon_to_line(poly)
 # output
-GeoInterface.Wrappers.LineString{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)], nothing, nothing)
source

# GeometryOps.polygonize — Method. 
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
+GeoInterface.Wrappers.LineString{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)], nothing, nothing)
source
# GeometryOps.polygonize Method
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
 polygonize(f, A::AbstractMatrix; kw...)
 polygonize(xs, ys, A::AbstractMatrix{Bool}; kw...)
 polygonize(f, xs, ys, A::AbstractMatrix; kw...)
Polygonize an AbstractMatrix of values, currently to a single class of polygons.
Returns a MultiPolygon for Bool values and f return values, and a FeatureCollection of Features holding MultiPolygon for all other values.
Function f should return either true or false or a transformation of values into simpler groups, especially useful for floating point arrays.
If xs and ys are ranges, they are used as the pixel/cell center points. If they are Vector of Tuple they are used as the lower and upper bounds of each pixel/cell.
Keywords
  • minpoints: ignore polygons with less than minpoints points.
  • values: the values to turn into polygons. By default these are union(A), If function f is passed these refer to the return values of f, by default union(map(f, A). If values Bool, false is ignored and a single MultiPolygon is returned rather than a FeatureCollection.
Example
julia
using GeometryOps
 A = rand(100, 100)
-multipolygon = polygonize(>(0.5), A);
source

# GeometryOps.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.
+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...)
+meaning as each sub-polygon could have a different winding order.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
# GeometryOps.signed_distance Method
julia
signed_distance(point, geom, ::Type{T} = Float64)::T
Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.
Result will be of type T, where T is an optional argument with a default value of Float64.
source
# GeometryOps.simplify Method
julia
simplify(obj; kw...)
 simplify(::SimplifyAlg, obj; kw...)
Simplify a geometry, feature, feature collection, or nested vectors or a table of these.
RadialDistance, DouglasPeucker, or VisvalingamWhyatt algorithms are available, listed in order of increasing quality but decreasing performance.
PoinTrait and MultiPointTrait are returned unchanged.
The default behaviour is simplify(DouglasPeucker(; kw...), obj). Pass in other SimplifyAlg to use other algorithms.
Keywords
  • prefilter_alg: SimplifyAlg algorithm used to pre-filter object before using primary filtering algorithm.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Keywords for DouglasPeucker are allowed when no algorithm is specified:
Keywords
  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.
  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.
  • tol: the minimum distance a point will be from the line joining its neighboring points.
Example
Simplify a polygon to have six points:
julia
import GeoInterface as GI
 import GeometryOps as GO
 
@@ -359,27 +357,26 @@
 GI.npoint(simple)
 
 # output
-6
source

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

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

 
 [source](https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L289-L305)
 
-</div>
-<br>
-<div style='border-width:1px; border-style:solid; border-color:black; padding: 1em; border-radius: 25px;'>
-<a id='GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T' href='#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T'>#</a>&nbsp;<b><u>GeometryOps.to_edges</u></b> &mdash; <i>Method</i>.
+</details>
 
+<details class='jldocstring custom-block' open>
+<summary><a id='GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T' href='#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T'>#</a> <span class="jlbinding">GeometryOps.to_edges</span> <Badge type="info" class="jlObjectType jlMethod" text="Method" /></summary>
 
 
 
 ```julia
-to_edges()
Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.
source

# GeometryOps.touches — Method. 
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+to_edges()
Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.
source
# GeometryOps.touches Method
julia
touches(geom1, geom2)::Bool
Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true
source

# GeometryOps.transform — Method. 
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
+true
source
# GeometryOps.transform Method
julia
transform(f, obj)
Apply a function f to all the points in obj.
Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.
SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.
Example
julia
julia> import GeoInterface as GI
 
 julia> import GeometryOps as GO
 
@@ -398,7 +395,7 @@
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source

# GeometryOps.tuples — Method. 
julia
tuples(obj)
Convert all points in obj to Tuples, wherever the are nested.
Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
source

# GeometryOps.union — Method. 
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Calculates the union between two polygons.
Example
julia
import GeoInterface as GI, GeometryOps as GO
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)
source
# GeometryOps.tuples Method
julia
tuples(obj)
Convert all points in obj to Tuples, wherever the are nested.
Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.
Keywords
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
source
# GeometryOps.union Method
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.
Calculates the union between two polygons.
Example
julia
import GeoInterface as GI, GeometryOps as GO
 
 p1 = GI.Polygon([[(0.0, 0.0), (5.0, 5.0), (10.0, 0.0), (5.0, -5.0), (0.0, 0.0)]])
 p2 = GI.Polygon([[(3.0, 0.0), (8.0, 5.0), (13.0, 0.0), (8.0, -5.0), (3.0, 0.0)]])
@@ -407,16 +404,16 @@
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]
source

# GeometryOps.unwrap — Function. 
julia
unwrap(target::Type{<:AbstractTrait}, obj)
-unwrap(f, target::Type{<:AbstractTrait}, obj)
Unwrap the object to vectors, down to the target trait.
If f is passed in it will be applied to the target geometries as they are found.
source

# GeometryOps.weighted_mean — Method. 
julia
weighted_mean(weight::Real, x1, x2)
Returns the weighted mean of x1 and x2, where weight is the weight of x1.
Specifically, calculates x1 * weight + x2 * (1 - weight).
Note
The idea for this method is that you can override this for custom types, like Color types, in extension modules.
source

# GeometryOps.within — Method. 
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]
source
# GeometryOps.unwrap Function
julia
unwrap(target::Type{<:AbstractTrait}, obj)
+unwrap(f, target::Type{<:AbstractTrait}, obj)
Unwrap the object to vectors, down to the target trait.
If f is passed in it will be applied to the target geometries as they are found.
source
# GeometryOps.weighted_mean Method
julia
weighted_mean(weight::Real, x1, x2)
Returns the weighted mean of x1 and x2, where weight is the weight of x1.
Specifically, calculates x1 * weight + x2 * (1 - weight).
Note
The idea for this method is that you can override this for custom types, like Color types, in extension modules.
source
# GeometryOps.within Method
julia
within(geom1, geom2)::Bool
Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).
Furthermore, within returns the exact opposite result of contains.
Examples
julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true
source

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

source

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

+ \ No newline at end of file diff --git a/previews/PR206/assets/dedkivo.C3SxJ3x-.png b/previews/PR206/assets/ammozof.C3SxJ3x-.png similarity index 100% rename from previews/PR206/assets/dedkivo.C3SxJ3x-.png rename to previews/PR206/assets/ammozof.C3SxJ3x-.png diff --git a/previews/PR206/assets/api.md.QUa7Ss_z.js b/previews/PR206/assets/api.md.nWIynlTQ.js similarity index 56% rename from previews/PR206/assets/api.md.QUa7Ss_z.js rename to previews/PR206/assets/api.md.nWIynlTQ.js index 8b20d264c..50480983f 100644 --- a/previews/PR206/assets/api.md.QUa7Ss_z.js +++ b/previews/PR206/assets/api.md.nWIynlTQ.js @@ -1,13 +1,13 @@ -import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";const b=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h={style:{"border-width":"1px","border-style":"solid","border-color":"black",padding:"1em","border-radius":"25px"}},p={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.827ex"},xmlns:"http://www.w3.org/2000/svg",width:"33.539ex",height:"6.785ex",role:"img",focusable:"false",viewBox:"0 -1749.5 14824.1 2999","aria-hidden":"true"},k={style:{"border-width":"1px","border-style":"solid","border-color":"black",padding:"1em","border-radius":"25px"}},o={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.059ex"},xmlns:"http://www.w3.org/2000/svg",width:"27.746ex",height:"5.362ex",role:"img",focusable:"false",viewBox:"0 -1460 12263.9 2370","aria-hidden":"true"};function g(y,i,E,c,u,m){return t(),e("div",null,[i[8]||(i[8]=a(`

Full GeometryOps API documentation ​

Warning

This page is still very much WIP!

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

apply and associated functions ​

# 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.

Example

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

julia
import GeoInterface as GI
+import{_ as h,c as l,a5 as t,j as i,a,G as n,B as k,o as p}from"./chunks/framework.BTiM8YUm.js";const Gi=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),r={name:"api.md"},o={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},E={class:"jldocstring custom-block",open:""},c={class:"jldocstring custom-block",open:""},u={class:"jldocstring custom-block",open:""},m={class:"jldocstring custom-block",open:""},F={class:"jldocstring custom-block",open:""},C={class:"jldocstring custom-block",open:""},b={class:"jldocstring custom-block",open:""},f={class:"jldocstring custom-block",open:""},T={class:"jldocstring custom-block",open:""},v={class:"jldocstring custom-block",open:""},G={class:"jldocstring custom-block",open:""},A={class:"jldocstring custom-block",open:""},j={class:"jldocstring custom-block",open:""},B={class:"jldocstring custom-block",open:""},O={class:"jldocstring custom-block",open:""},D={class:"jldocstring custom-block",open:""},x={class:"jldocstring custom-block",open:""},Q={class:"jldocstring custom-block",open:""},w={class:"jldocstring custom-block",open:""},I={class:"jldocstring custom-block",open:""},L={class:"jldocstring custom-block",open:""},M={class:"jldocstring custom-block",open:""},P={class:"jldocstring custom-block",open:""},q={class:"jldocstring custom-block",open:""},R={class:"jldocstring custom-block",open:""},S={class:"jldocstring custom-block",open:""},V={class:"jldocstring custom-block",open:""},U={class:"jldocstring custom-block",open:""},J={class:"jldocstring custom-block",open:""},H={class:"jldocstring custom-block",open:""},N={class:"jldocstring custom-block",open:""},W={class:"jldocstring custom-block",open:""},z={class:"jldocstring custom-block",open:""},Z={class:"jldocstring custom-block",open:""},K={class:"jldocstring custom-block",open:""},X={class:"jldocstring custom-block",open:""},$={class:"jldocstring custom-block",open:""},Y={class:"jldocstring custom-block",open:""},_={class:"jldocstring custom-block",open:""},ss={class:"jldocstring custom-block",open:""},is={class:"jldocstring custom-block",open:""},as={class:"jldocstring custom-block",open:""},ts={class:"jldocstring custom-block",open:""},es={class:"jldocstring custom-block",open:""},ns={class:"jldocstring custom-block",open:""},ls={class:"jldocstring custom-block",open:""},ps={class:"jldocstring custom-block",open:""},hs={class:"jldocstring custom-block",open:""},ks={class:"jldocstring custom-block",open:""},rs={class:"jldocstring custom-block",open:""},os={class:"jldocstring custom-block",open:""},ds={class:"jldocstring custom-block",open:""},gs={class:"jldocstring custom-block",open:""},ys={class:"jldocstring custom-block",open:""},Es={class:"jldocstring custom-block",open:""},cs={class:"jldocstring custom-block",open:""},us={class:"jldocstring custom-block",open:""},ms={class:"jldocstring custom-block",open:""},Fs={class:"jldocstring custom-block",open:""},Cs={class:"jldocstring custom-block",open:""},bs={class:"jldocstring custom-block",open:""},fs={class:"jldocstring custom-block",open:""},Ts={class:"jldocstring custom-block",open:""},vs={class:"jldocstring custom-block",open:""},Gs={class:"jldocstring custom-block",open:""},As={class:"jldocstring custom-block",open:""},js={class:"jldocstring custom-block",open:""},Bs={class:"jldocstring custom-block",open:""},Os={class:"jldocstring custom-block",open:""},Ds={class:"jldocstring custom-block",open:""},xs={class:"jldocstring custom-block",open:""},Qs={class:"jldocstring custom-block",open:""},ws={class:"jldocstring custom-block",open:""},Is={class:"jldocstring custom-block",open:""},Ls={class:"jldocstring custom-block",open:""},Ms={class:"jldocstring custom-block",open:""},Ps={class:"jldocstring custom-block",open:""},qs={class:"jldocstring custom-block",open:""},Rs={class:"jldocstring custom-block",open:""},Ss={class:"jldocstring custom-block",open:""},Vs={class:"jldocstring custom-block",open:""},Us={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},Js={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.827ex"},xmlns:"http://www.w3.org/2000/svg",width:"33.539ex",height:"6.785ex",role:"img",focusable:"false",viewBox:"0 -1749.5 14824.1 2999","aria-hidden":"true"},Hs={class:"jldocstring custom-block",open:""},Ns={class:"jldocstring custom-block",open:""},Ws={class:"jldocstring custom-block",open:""},zs={class:"jldocstring custom-block",open:""},Zs={class:"jldocstring custom-block",open:""},Ks={class:"jldocstring custom-block",open:""},Xs={class:"jldocstring custom-block",open:""},$s={class:"jldocstring custom-block",open:""},Ys={class:"jldocstring custom-block",open:""},_s={class:"jldocstring custom-block",open:""},si={class:"jldocstring custom-block",open:""},ii={class:"jldocstring custom-block",open:""},ai={class:"jldocstring custom-block",open:""},ti={class:"jldocstring custom-block",open:""},ei={class:"jldocstring custom-block",open:""},ni={class:"jldocstring custom-block",open:""},li={class:"jldocstring custom-block",open:""},pi={class:"jldocstring custom-block",open:""},hi={class:"jldocstring custom-block",open:""},ki={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},ri={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.059ex"},xmlns:"http://www.w3.org/2000/svg",width:"27.746ex",height:"5.362ex",role:"img",focusable:"false",viewBox:"0 -1460 12263.9 2370","aria-hidden":"true"},oi={class:"jldocstring custom-block",open:""},di={class:"jldocstring custom-block",open:""},gi={class:"jldocstring custom-block",open:""},yi={class:"jldocstring custom-block",open:""},Ei={class:"jldocstring custom-block",open:""},ci={class:"jldocstring custom-block",open:""},ui={class:"jldocstring custom-block",open:""};function mi(Fi,s,Ci,bi,fi,Ti){const e=k("Badge");return p(),l("div",null,[s[561]||(s[561]=t('
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
',5)),i("details",o,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.apply",href:"#GeometryOps.apply"},"#",-1)),s[1]||(s[1]=a()),s[2]||(s[2]=i("span",{class:"jlbinding"},"GeometryOps.apply",-1)),s[3]||(s[3]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[4]||(s[4]=t(`
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
 
 flipped_geom = GO.apply(GI.PointTrait, geom) do p
     (GI.y(p), GI.x(p))
-end
source

# 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)
+end

source

`,10))]),i("details",d,[i("summary",null,[s[5]||(s[5]=i("a",{id:"GeometryOps.applyreduce",href:"#GeometryOps.applyreduce"},"#",-1)),s[6]||(s[6]=a()),s[7]||(s[7]=i("span",{class:"jlbinding"},"GeometryOps.applyreduce",-1)),s[8]||(s[8]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[9]||(s[9]=t('
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)

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

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

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

source

',5))]),i("details",g,[i("summary",null,[s[10]||(s[10]=i("a",{id:"GeometryOps.reproject",href:"#GeometryOps.reproject"},"#",-1)),s[11]||(s[11]=a()),s[12]||(s[12]=i("span",{class:"jlbinding"},"GeometryOps.reproject",-1)),s[13]||(s[13]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[14]||(s[14]=t(`
julia
reproject(geometry; source_crs, target_crs, transform, always_xy, time)
 reproject(geometry, source_crs, target_crs; always_xy, time)
-reproject(geometry, transform; always_xy, time)

Reproject any GeoInterface.jl compatible geometry from source_crs to target_crs.

The returned object will be constructed from GeoInterface.WrapperGeometry geometries, wrapping views of a Vector{Proj.Point{D}}, where D is the dimension.

Tip

The Proj.jl package must be loaded for this method to work, since it is implemented in a package extension.

Arguments

  • geometry: Any GeoInterface.jl compatible geometries.

  • source_crs: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.

  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.

If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).

Keywords

  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.

  • time: the time for the coordinates. Inf by default.

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

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

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

source


# GeometryOps.transform — Function.
julia
transform(f, obj)

Apply a function f to all the points in obj.

Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.

SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.

Example

julia
julia> import GeoInterface as GI
+reproject(geometry, transform; always_xy, time)

Reproject any GeoInterface.jl compatible geometry from source_crs to target_crs.

The returned object will be constructed from GeoInterface.WrapperGeometry geometries, wrapping views of a Vector{Proj.Point{D}}, where D is the dimension.

Tip

The Proj.jl package must be loaded for this method to work, since it is implemented in a package extension.

Arguments

  • geometry: Any GeoInterface.jl compatible geometries.

  • source_crs: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.

  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.

If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).

Keywords

  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.

  • time: the time for the coordinates. Inf by default.

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

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

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

source

`,10))]),i("details",y,[i("summary",null,[s[15]||(s[15]=i("a",{id:"GeometryOps.transform",href:"#GeometryOps.transform"},"#",-1)),s[16]||(s[16]=a()),s[17]||(s[17]=i("span",{class:"jlbinding"},"GeometryOps.transform",-1)),s[18]||(s[18]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[19]||(s[19]=t(`
julia
transform(f, obj)

Apply a function f to all the points in obj.

Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.

SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.

Example

julia
julia> import GeoInterface as GI
 
 julia> import GeometryOps as GO
 
@@ -26,41 +26,41 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)

source


General geometry methods ​

OGC methods ​

# GeometryOps.contains — Function.
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).

contains returns the exact opposite result of within.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)

source

`,9))]),s[562]||(s[562]=i("h2",{id:"General-geometry-methods",tabindex:"-1"},[a("General geometry methods "),i("a",{class:"header-anchor",href:"#General-geometry-methods","aria-label":'Permalink to "General geometry methods {#General-geometry-methods}"'},"​")],-1)),s[563]||(s[563]=i("h3",{id:"OGC-methods",tabindex:"-1"},[a("OGC methods "),i("a",{class:"header-anchor",href:"#OGC-methods","aria-label":'Permalink to "OGC methods {#OGC-methods}"'},"​")],-1)),i("details",E,[i("summary",null,[s[20]||(s[20]=i("a",{id:"GeometryOps.contains",href:"#GeometryOps.contains"},"#",-1)),s[21]||(s[21]=a()),s[22]||(s[22]=i("span",{class:"jlbinding"},"GeometryOps.contains",-1)),s[23]||(s[23]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[24]||(s[24]=t(`
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).

contains returns the exact opposite result of within.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true

source


# GeometryOps.coveredby — Function.
julia
coveredby(g1, g2)::Bool

Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).

Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",c,[i("summary",null,[s[25]||(s[25]=i("a",{id:"GeometryOps.coveredby",href:"#GeometryOps.coveredby"},"#",-1)),s[26]||(s[26]=a()),s[27]||(s[27]=i("span",{class:"jlbinding"},"GeometryOps.coveredby",-1)),s[28]||(s[28]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[29]||(s[29]=t(`
julia
coveredby(g1, g2)::Bool

Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).

Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true

source


# GeometryOps.covers — Function.
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.

covers returns the exact opposite result of coveredby.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",u,[i("summary",null,[s[30]||(s[30]=i("a",{id:"GeometryOps.covers",href:"#GeometryOps.covers"},"#",-1)),s[31]||(s[31]=a()),s[32]||(s[32]=i("span",{class:"jlbinding"},"GeometryOps.covers",-1)),s[33]||(s[33]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[34]||(s[34]=t(`
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.

covers returns the exact opposite result of coveredby.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true

source


# GeometryOps.crosses — Function.
julia
 crosses(geom1, geom2)::Bool

Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.

TODO: broken

Examples

julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example

source


# GeometryOps.disjoint — Function.
julia
disjoint(geom1, geom2)::Bool

Return true if the first geometry is disjoint from the second geometry.

Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",m,[i("summary",null,[s[35]||(s[35]=i("a",{id:"GeometryOps.crosses",href:"#GeometryOps.crosses"},"#",-1)),s[36]||(s[36]=a()),s[37]||(s[37]=i("span",{class:"jlbinding"},"GeometryOps.crosses",-1)),s[38]||(s[38]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[39]||(s[39]=t(`
julia
 crosses(geom1, geom2)::Bool

Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.

TODO: broken

Examples

julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example

source

`,6))]),i("details",F,[i("summary",null,[s[40]||(s[40]=i("a",{id:"GeometryOps.disjoint",href:"#GeometryOps.disjoint"},"#",-1)),s[41]||(s[41]=a()),s[42]||(s[42]=i("span",{class:"jlbinding"},"GeometryOps.disjoint",-1)),s[43]||(s[43]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[44]||(s[44]=t(`
julia
disjoint(geom1, geom2)::Bool

Return true if the first geometry is disjoint from the second geometry.

Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true

source


# GeometryOps.intersects — Function.
julia
intersects(geom1, geom2)::Bool

Return true if the interiors or boundaries of the two geometries interact.

intersects returns the exact opposite result of disjoint.

Example

julia
import GeoInterface as GI, GeometryOps as GO
+true

source

`,6))]),i("details",C,[i("summary",null,[s[45]||(s[45]=i("a",{id:"GeometryOps.intersects",href:"#GeometryOps.intersects"},"#",-1)),s[46]||(s[46]=a()),s[47]||(s[47]=i("span",{class:"jlbinding"},"GeometryOps.intersects",-1)),s[48]||(s[48]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[49]||(s[49]=t(`
julia
intersects(geom1, geom2)::Bool

Return true if the interiors or boundaries of the two geometries interact.

intersects returns the exact opposite result of disjoint.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
 GO.intersects(line1, line2)
 
 # output
-true

source


# GeometryOps.overlaps — Function.
julia
overlaps(geom1, geom2)::Bool

Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",b,[i("summary",null,[s[50]||(s[50]=i("a",{id:"GeometryOps.overlaps",href:"#GeometryOps.overlaps"},"#",-1)),s[51]||(s[51]=a()),s[52]||(s[52]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[53]||(s[53]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[54]||(s[54]=t(`
julia
overlaps(geom1, geom2)::Bool

Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
@@ -84,21 +84,21 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.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 geometry's interior or boundary.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool

Return true if at least one pair of polygons from multipolygons overlap. Else false.

source

`,29))]),i("details",f,[i("summary",null,[s[55]||(s[55]=i("a",{id:"GeometryOps.touches",href:"#GeometryOps.touches"},"#",-1)),s[56]||(s[56]=a()),s[57]||(s[57]=i("span",{class:"jlbinding"},"GeometryOps.touches",-1)),s[58]||(s[58]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[59]||(s[59]=t(`
julia
touches(geom1, geom2)::Bool

Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true

source


# GeometryOps.within — Function.
julia
within(geom1, geom2)::Bool

Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).

Furthermore, within returns the exact opposite result of contains.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,5))]),i("details",T,[i("summary",null,[s[60]||(s[60]=i("a",{id:"GeometryOps.within",href:"#GeometryOps.within"},"#",-1)),s[61]||(s[61]=a()),s[62]||(s[62]=i("span",{class:"jlbinding"},"GeometryOps.within",-1)),s[63]||(s[63]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[64]||(s[64]=t(`
julia
within(geom1, geom2)::Bool

Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).

Furthermore, within returns the exact opposite result of contains.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true

source


Other general methods ​

# GeometryOps.equals — Function.
julia
equals(geom1, geom2)::Bool

Compare two Geometries return true if they are the same geometry.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),s[564]||(s[564]=i("h3",{id:"Other-general-methods",tabindex:"-1"},[a("Other general methods "),i("a",{class:"header-anchor",href:"#Other-general-methods","aria-label":'Permalink to "Other general methods {#Other-general-methods}"'},"​")],-1)),i("details",v,[i("summary",null,[s[65]||(s[65]=i("a",{id:"GeometryOps.equals",href:"#GeometryOps.equals"},"#",-1)),s[66]||(s[66]=a()),s[67]||(s[67]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[68]||(s[68]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[69]||(s[69]=t(`
julia
equals(geom1, geom2)::Bool

Compare two Geometries return true if they are the same geometry.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
@@ -116,70 +116,70 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 )::Bool

A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source

julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool

Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two polygons are equal if they share the same exterior edge and holes.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two multipolygons are equal if they share the same set of polygons.

source


# GeometryOps.centroid — Function.
julia
centroid(geom, [T=Float64])::Tuple{T, T}

Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.

source


# GeometryOps.distance — Function.
julia
distance(point, geom, ::Type{T} = Float64)::T

Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.

The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.signed_distance — Function.
julia
signed_distance(point, geom, ::Type{T} = Float64)::T

Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.area — Function.
julia
area(geom, [T = Float64])::T

Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:

- The area of a point/multipoint is always zero.
+)::Bool

Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two polygons are equal if they share the same exterior edge and holes.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two multipolygons are equal if they share the same set of polygons.

source

`,47))]),i("details",G,[i("summary",null,[s[70]||(s[70]=i("a",{id:"GeometryOps.centroid",href:"#GeometryOps.centroid"},"#",-1)),s[71]||(s[71]=a()),s[72]||(s[72]=i("span",{class:"jlbinding"},"GeometryOps.centroid",-1)),s[73]||(s[73]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[74]||(s[74]=t('
julia
centroid(geom, [T=Float64])::Tuple{T, T}

Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.

source

',3))]),i("details",A,[i("summary",null,[s[75]||(s[75]=i("a",{id:"GeometryOps.distance",href:"#GeometryOps.distance"},"#",-1)),s[76]||(s[76]=a()),s[77]||(s[77]=i("span",{class:"jlbinding"},"GeometryOps.distance",-1)),s[78]||(s[78]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[79]||(s[79]=t('
julia
distance(point, geom, ::Type{T} = Float64)::T

Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.

The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',5))]),i("details",j,[i("summary",null,[s[80]||(s[80]=i("a",{id:"GeometryOps.signed_distance",href:"#GeometryOps.signed_distance"},"#",-1)),s[81]||(s[81]=a()),s[82]||(s[82]=i("span",{class:"jlbinding"},"GeometryOps.signed_distance",-1)),s[83]||(s[83]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[84]||(s[84]=t('
julia
signed_distance(point, geom, ::Type{T} = Float64)::T

Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',4))]),i("details",B,[i("summary",null,[s[85]||(s[85]=i("a",{id:"GeometryOps.area",href:"#GeometryOps.area"},"#",-1)),s[86]||(s[86]=a()),s[87]||(s[87]=i("span",{class:"jlbinding"},"GeometryOps.area",-1)),s[88]||(s[88]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[89]||(s[89]=t(`
julia
area(geom, [T = Float64])::T

Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:

- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.signed_area — Function.
julia
signed_area(geom, [T = Float64])::T

Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:

- The signed area of a point is always zero.
+    is the sum of the areas of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

`,5))]),i("details",O,[i("summary",null,[s[90]||(s[90]=i("a",{id:"GeometryOps.signed_area",href:"#GeometryOps.signed_area"},"#",-1)),s[91]||(s[91]=a()),s[92]||(s[92]=i("span",{class:"jlbinding"},"GeometryOps.signed_area",-1)),s[93]||(s[93]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[94]||(s[94]=t(`
julia
signed_area(geom, [T = Float64])::T

Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:

- The signed area of a point is always zero.
 - The signed area of a curve is always zero.
 - The signed area of a polygon is computed with the shoelace formula and is
 positive if the polygon coordinates wind clockwise and negative if
 counterclockwise.
 - You cannot compute the signed area of a multipolygon as it doesn't have a
-meaning as each sub-polygon could have a different winding order.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.angles — Function.
julia
angles(geom, ::Type{T} = Float64)

Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:

- The angles of a point is an empty vector.
+meaning as each sub-polygon could have a different winding order.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

`,5))]),i("details",D,[i("summary",null,[s[95]||(s[95]=i("a",{id:"GeometryOps.angles",href:"#GeometryOps.angles"},"#",-1)),s[96]||(s[96]=a()),s[97]||(s[97]=i("span",{class:"jlbinding"},"GeometryOps.angles",-1)),s[98]||(s[98]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[99]||(s[99]=t(`
julia
angles(geom, ::Type{T} = Float64)

Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:

- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.

Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.

source


# GeometryOps.embed_extent — Function.
julia
embed_extent(obj)

Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.

This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.

Keywords

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

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

source


Barycentric coordinates ​

# GeometryOps.barycentric_coordinates — Function.
julia
barycentric_coordinates(method = MeanValue(), polygon, point)

Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.

source


# GeometryOps.barycentric_coordinates! — Function.
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)

Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.

λs must be of the length of the polygon plus its holes.

Tip

Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.

source


# GeometryOps.barycentric_interpolate — Function.
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)

Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.

Returns an object of type V.

Warning

Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).

source


Other methods ​

# GeometryOps.AbstractBarycentricCoordinateMethod — Type.
julia
abstract type AbstractBarycentricCoordinateMethod

Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.

API

The following methods must be implemented for all subtypes:

  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})

  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V

  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V

The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.

source


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

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

It can be called on any geometry correction as usual.

See also GeometryCorrection.

source


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

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

source


# GeometryOps.DouglasPeucker — Type.
julia
DouglasPeucker <: SimplifyAlg
+    sub-geometries as defined above.

Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.

source

`,5))]),i("details",x,[i("summary",null,[s[100]||(s[100]=i("a",{id:"GeometryOps.embed_extent",href:"#GeometryOps.embed_extent"},"#",-1)),s[101]||(s[101]=a()),s[102]||(s[102]=i("span",{class:"jlbinding"},"GeometryOps.embed_extent",-1)),s[103]||(s[103]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[104]||(s[104]=t('
julia
embed_extent(obj)

Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.

This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.

Keywords

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

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

source

',6))]),s[565]||(s[565]=i("h2",{id:"Barycentric-coordinates",tabindex:"-1"},[a("Barycentric coordinates "),i("a",{class:"header-anchor",href:"#Barycentric-coordinates","aria-label":'Permalink to "Barycentric coordinates {#Barycentric-coordinates}"'},"​")],-1)),i("details",Q,[i("summary",null,[s[105]||(s[105]=i("a",{id:"GeometryOps.barycentric_coordinates",href:"#GeometryOps.barycentric_coordinates"},"#",-1)),s[106]||(s[106]=a()),s[107]||(s[107]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates",-1)),s[108]||(s[108]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[109]||(s[109]=t('
julia
barycentric_coordinates(method = MeanValue(), polygon, point)

Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.

source

',3))]),i("details",w,[i("summary",null,[s[110]||(s[110]=i("a",{id:"GeometryOps.barycentric_coordinates!",href:"#GeometryOps.barycentric_coordinates!"},"#",-1)),s[111]||(s[111]=a()),s[112]||(s[112]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!",-1)),s[113]||(s[113]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[114]||(s[114]=t('
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)

Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.

λs must be of the length of the polygon plus its holes.

Tip

Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.

source

',5))]),i("details",I,[i("summary",null,[s[115]||(s[115]=i("a",{id:"GeometryOps.barycentric_interpolate",href:"#GeometryOps.barycentric_interpolate"},"#",-1)),s[116]||(s[116]=a()),s[117]||(s[117]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate",-1)),s[118]||(s[118]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[119]||(s[119]=t('
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)

Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.

Returns an object of type V.

Warning

Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).

source

',5))]),s[566]||(s[566]=i("h2",{id:"Other-methods",tabindex:"-1"},[a("Other methods "),i("a",{class:"header-anchor",href:"#Other-methods","aria-label":'Permalink to "Other methods {#Other-methods}"'},"​")],-1)),i("details",L,[i("summary",null,[s[120]||(s[120]=i("a",{id:"GeometryOps.AbstractBarycentricCoordinateMethod",href:"#GeometryOps.AbstractBarycentricCoordinateMethod"},"#",-1)),s[121]||(s[121]=a()),s[122]||(s[122]=i("span",{class:"jlbinding"},"GeometryOps.AbstractBarycentricCoordinateMethod",-1)),s[123]||(s[123]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[124]||(s[124]=t('
julia
abstract type AbstractBarycentricCoordinateMethod

Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.

API

The following methods must be implemented for all subtypes:

  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})

  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V

  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V

The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.

source

',7))]),i("details",M,[i("summary",null,[s[125]||(s[125]=i("a",{id:"GeometryOps.ClosedRing",href:"#GeometryOps.ClosedRing"},"#",-1)),s[126]||(s[126]=a()),s[127]||(s[127]=i("span",{class:"jlbinding"},"GeometryOps.ClosedRing",-1)),s[128]||(s[128]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[129]||(s[129]=t('
julia
ClosedRing() <: GeometryCorrection

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

It can be called on any geometry correction as usual.

See also GeometryCorrection.

source

',5))]),i("details",P,[i("summary",null,[s[130]||(s[130]=i("a",{id:"GeometryOps.DiffIntersectingPolygons",href:"#GeometryOps.DiffIntersectingPolygons"},"#",-1)),s[131]||(s[131]=a()),s[132]||(s[132]=i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons",-1)),s[133]||(s[133]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[134]||(s[134]=t('
julia
DiffIntersectingPolygons() <: GeometryCorrection

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

source

',3))]),i("details",q,[i("summary",null,[s[135]||(s[135]=i("a",{id:"GeometryOps.DouglasPeucker",href:"#GeometryOps.DouglasPeucker"},"#",-1)),s[136]||(s[136]=a()),s[137]||(s[137]=i("span",{class:"jlbinding"},"GeometryOps.DouglasPeucker",-1)),s[138]||(s[138]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[139]||(s[139]=t(`
julia
DouglasPeucker <: SimplifyAlg
 
-DouglasPeucker(; number, ratio, tol)

Simplifies geometries by removing points below tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum distance a point will be from the line joining its neighboring points.

Note: user input tol is squared to avoid unnecessary computation in algorithm.

source


# GeometryOps.GEOS — Type.
julia
GEOS(; params...)

A struct which instructs the method it's passed to as an algorithm to use the appropriate GEOS function via LibGEOS.jl for the operation.

Dispatch is generally carried out using the names of the keyword arguments. For example, segmentize will only accept a GEOS struct with only a max_distance keyword, and no other.

It's generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!

source


# GeometryOps.GeodesicSegments — Type.
julia
GeodesicSegments(; max_distance::Real, equatorial_radius::Real=6378137, flattening::Real=1/298.257223563)

A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.

Warning

Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.

Arguments

  • max_distance::Real: The maximum distance, in meters, between vertices in the geometry.

  • equatorial_radius::Real=6378137: The equatorial radius of the Earth, in meters. Passed to Proj.geod_geodesic.

  • flattening::Real=1/298.257223563: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to Proj.geod_geodesic.

One can also omit the equatorial_radius and flattening keyword arguments, and pass a geodesic object directly to the eponymous keyword.

This method uses the Proj/GeographicLib API for geodesic calculations.

source


# GeometryOps.GeometryCorrection — Type.
julia
abstract type GeometryCorrection

This abstract type represents a geometry correction.

Interface

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

source


# GeometryOps.LineOrientation — Type.
julia
Enum LineOrientation

Enum for the orientation of a line with respect to a curve. A line can be line_cross (crossing over the curve), line_hinge (crossing the endpoint of the curve), line_over (collinear with the curve), or line_out (not interacting with the curve).

source


# GeometryOps.LinearSegments — Type.
julia
LinearSegments(; max_distance::Real)

A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.

Here, max_distance is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the max_distance will be in degrees of arc. If the polygon is provided in meters, then the max_distance will be in meters.

source


# GeometryOps.MeanValue — Type.
julia
MeanValue() <: AbstractBarycentricCoordinateMethod

This method calculates barycentric coordinates using the mean value method.

References

source


# GeometryOps.MonotoneChainMethod — Type.
julia
MonotoneChainMethod()

This is an algorithm for the convex_hull function.

Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.

See also convex_hull

source


# GeometryOps.PointOrientation — Type.
julia
Enum PointOrientation

Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.

source


# GeometryOps.RadialDistance — Type.
julia
RadialDistance <: SimplifyAlg

Simplifies geometries by removing points less than tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum distance between points.

Note: user input tol is squared to avoid unnecessary computation in algorithm.

source


# GeometryOps.SimplifyAlg — Type.
julia
abstract type SimplifyAlg

Abstract type for simplification algorithms.

API

For now, the algorithm must hold the number, ratio and tol properties.

Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.

source


# GeometryOps.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

`,6))]),i("details",R,[i("summary",null,[s[140]||(s[140]=i("a",{id:"GeometryOps.GEOS",href:"#GeometryOps.GEOS"},"#",-1)),s[141]||(s[141]=a()),s[142]||(s[142]=i("span",{class:"jlbinding"},"GeometryOps.GEOS",-1)),s[143]||(s[143]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[144]||(s[144]=t('
julia
GEOS(; params...)

A struct which instructs the method it's passed to as an algorithm to use the appropriate GEOS function via LibGEOS.jl for the operation.

Dispatch is generally carried out using the names of the keyword arguments. For example, segmentize will only accept a GEOS struct with only a max_distance keyword, and no other.

It's generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!

source

',5))]),i("details",S,[i("summary",null,[s[145]||(s[145]=i("a",{id:"GeometryOps.GeodesicSegments",href:"#GeometryOps.GeodesicSegments"},"#",-1)),s[146]||(s[146]=a()),s[147]||(s[147]=i("span",{class:"jlbinding"},"GeometryOps.GeodesicSegments",-1)),s[148]||(s[148]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[149]||(s[149]=t('
julia
GeodesicSegments(; max_distance::Real, equatorial_radius::Real=6378137, flattening::Real=1/298.257223563)

A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.

Warning

Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.

Arguments

  • max_distance::Real: The maximum distance, in meters, between vertices in the geometry.

  • equatorial_radius::Real=6378137: The equatorial radius of the Earth, in meters. Passed to Proj.geod_geodesic.

  • flattening::Real=1/298.257223563: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to Proj.geod_geodesic.

One can also omit the equatorial_radius and flattening keyword arguments, and pass a geodesic object directly to the eponymous keyword.

This method uses the Proj/GeographicLib API for geodesic calculations.

source

',8))]),i("details",V,[i("summary",null,[s[150]||(s[150]=i("a",{id:"GeometryOps.GeometryCorrection",href:"#GeometryOps.GeometryCorrection"},"#",-1)),s[151]||(s[151]=a()),s[152]||(s[152]=i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection",-1)),s[153]||(s[153]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[154]||(s[154]=t('
julia
abstract type GeometryCorrection

This abstract type represents a geometry correction.

Interface

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

source

',5))]),i("details",U,[i("summary",null,[s[155]||(s[155]=i("a",{id:"GeometryOps.LineOrientation",href:"#GeometryOps.LineOrientation"},"#",-1)),s[156]||(s[156]=a()),s[157]||(s[157]=i("span",{class:"jlbinding"},"GeometryOps.LineOrientation",-1)),s[158]||(s[158]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[159]||(s[159]=t('
julia
Enum LineOrientation

Enum for the orientation of a line with respect to a curve. A line can be line_cross (crossing over the curve), line_hinge (crossing the endpoint of the curve), line_over (collinear with the curve), or line_out (not interacting with the curve).

source

',3))]),i("details",J,[i("summary",null,[s[160]||(s[160]=i("a",{id:"GeometryOps.LinearSegments",href:"#GeometryOps.LinearSegments"},"#",-1)),s[161]||(s[161]=a()),s[162]||(s[162]=i("span",{class:"jlbinding"},"GeometryOps.LinearSegments",-1)),s[163]||(s[163]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[164]||(s[164]=t('
julia
LinearSegments(; max_distance::Real)

A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.

Here, max_distance is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the max_distance will be in degrees of arc. If the polygon is provided in meters, then the max_distance will be in meters.

source

',4))]),i("details",H,[i("summary",null,[s[165]||(s[165]=i("a",{id:"GeometryOps.MeanValue",href:"#GeometryOps.MeanValue"},"#",-1)),s[166]||(s[166]=a()),s[167]||(s[167]=i("span",{class:"jlbinding"},"GeometryOps.MeanValue",-1)),s[168]||(s[168]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[169]||(s[169]=t('
julia
MeanValue() <: AbstractBarycentricCoordinateMethod

This method calculates barycentric coordinates using the mean value method.

References

source

',4))]),i("details",N,[i("summary",null,[s[170]||(s[170]=i("a",{id:"GeometryOps.MonotoneChainMethod",href:"#GeometryOps.MonotoneChainMethod"},"#",-1)),s[171]||(s[171]=a()),s[172]||(s[172]=i("span",{class:"jlbinding"},"GeometryOps.MonotoneChainMethod",-1)),s[173]||(s[173]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[174]||(s[174]=t('
julia
MonotoneChainMethod()

This is an algorithm for the convex_hull function.

Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.

See also convex_hull

source

',5))]),i("details",W,[i("summary",null,[s[175]||(s[175]=i("a",{id:"GeometryOps.PointOrientation",href:"#GeometryOps.PointOrientation"},"#",-1)),s[176]||(s[176]=a()),s[177]||(s[177]=i("span",{class:"jlbinding"},"GeometryOps.PointOrientation",-1)),s[178]||(s[178]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[179]||(s[179]=t('
julia
Enum PointOrientation

Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.

source

',3))]),i("details",z,[i("summary",null,[s[180]||(s[180]=i("a",{id:"GeometryOps.RadialDistance",href:"#GeometryOps.RadialDistance"},"#",-1)),s[181]||(s[181]=a()),s[182]||(s[182]=i("span",{class:"jlbinding"},"GeometryOps.RadialDistance",-1)),s[183]||(s[183]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[184]||(s[184]=t('
julia
RadialDistance <: SimplifyAlg

Simplifies geometries by removing points less than tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum distance between points.

Note: user input tol is squared to avoid unnecessary computation in algorithm.

source

',6))]),i("details",Z,[i("summary",null,[s[185]||(s[185]=i("a",{id:"GeometryOps.SimplifyAlg",href:"#GeometryOps.SimplifyAlg"},"#",-1)),s[186]||(s[186]=a()),s[187]||(s[187]=i("span",{class:"jlbinding"},"GeometryOps.SimplifyAlg",-1)),s[188]||(s[188]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[189]||(s[189]=t('
julia
abstract type SimplifyAlg

Abstract type for simplification algorithms.

API

For now, the algorithm must hold the number, ratio and tol properties.

Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.

source

',6))]),i("details",K,[i("summary",null,[s[190]||(s[190]=i("a",{id:"GeometryOps.TraitTarget",href:"#GeometryOps.TraitTarget"},"#",-1)),s[191]||(s[191]=a()),s[192]||(s[192]=i("span",{class:"jlbinding"},"GeometryOps.TraitTarget",-1)),s[193]||(s[193]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[194]||(s[194]=t(`
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.
 TraitTarget(GI.PointTrait)
 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
+# etc.

source

`,6))]),i("details",X,[i("summary",null,[s[195]||(s[195]=i("a",{id:"GeometryOps.UnionIntersectingPolygons",href:"#GeometryOps.UnionIntersectingPolygons"},"#",-1)),s[196]||(s[196]=a()),s[197]||(s[197]=i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons",-1)),s[198]||(s[198]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[199]||(s[199]=t('
julia
UnionIntersectingPolygons() <: GeometryCorrection

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

See also GeometryCorrection.

source

',4))]),i("details",$,[i("summary",null,[s[200]||(s[200]=i("a",{id:"GeometryOps.VisvalingamWhyatt",href:"#GeometryOps.VisvalingamWhyatt"},"#",-1)),s[201]||(s[201]=a()),s[202]||(s[202]=i("span",{class:"jlbinding"},"GeometryOps.VisvalingamWhyatt",-1)),s[203]||(s[203]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[204]||(s[204]=t(`
julia
VisvalingamWhyatt <: SimplifyAlg
 
-VisvalingamWhyatt(; kw...)

Simplifies geometries by removing points below tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum area of a triangle made with a point and its neighboring points.

Note: user input tol is doubled to avoid unnecessary computation in algorithm.

source


# GeometryOps._det — Method.
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}

Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.

Specifically, this is:

julia
s1[1] * s2[2] - s1[2] * s2[1]

source


# GeometryOps._equals_curves — Method.
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool

Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)

source


# GeometryOps.angles — Method.
julia
angles(geom, ::Type{T} = Float64)

Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:

- The angles of a point is an empty vector.
+VisvalingamWhyatt(; kw...)

Simplifies geometries by removing points below tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum area of a triangle made with a point and its neighboring points.

Note: user input tol is doubled to avoid unnecessary computation in algorithm.

source

`,6))]),i("details",Y,[i("summary",null,[s[205]||(s[205]=i("a",{id:"GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1<:Real, T2<:Real}",href:"#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1<:Real, T2<:Real}"},"#",-1)),s[206]||(s[206]=a()),s[207]||(s[207]=i("span",{class:"jlbinding"},"GeometryOps._det",-1)),s[208]||(s[208]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[209]||(s[209]=t('
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}

Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.

Specifically, this is:

julia
s1[1] * s2[2] - s1[2] * s2[1]

source

',5))]),i("details",_,[i("summary",null,[s[210]||(s[210]=i("a",{id:"GeometryOps._equals_curves-NTuple{4, Any}",href:"#GeometryOps._equals_curves-NTuple{4, Any}"},"#",-1)),s[211]||(s[211]=a()),s[212]||(s[212]=i("span",{class:"jlbinding"},"GeometryOps._equals_curves",-1)),s[213]||(s[213]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[214]||(s[214]=t('
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool

Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)

source

',3))]),i("details",ss,[i("summary",null,[s[215]||(s[215]=i("a",{id:"GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[216]||(s[216]=a()),s[217]||(s[217]=i("span",{class:"jlbinding"},"GeometryOps.angles",-1)),s[218]||(s[218]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[219]||(s[219]=t(`
julia
angles(geom, ::Type{T} = Float64)

Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:

- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.

Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.

source


# GeometryOps.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
+    sub-geometries as defined above.

Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.

source

`,5))]),i("details",is,[i("summary",null,[s[220]||(s[220]=i("a",{id:"GeometryOps.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F",href:"#GeometryOps.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"},"#",-1)),s[221]||(s[221]=a()),s[222]||(s[222]=i("span",{class:"jlbinding"},"GeometryOps.apply",-1)),s[223]||(s[223]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[224]||(s[224]=t(`
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)

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

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

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

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

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

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

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

Example

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

julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
 
 flipped_geom = GO.apply(GI.PointTrait, geom) do p
     (GI.y(p), GI.x(p))
-end

source


# GeometryOps.applyreduce — Method.
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.area — Method.
julia
area(geom, [T = Float64])::T

Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:

- The area of a point/multipoint is always zero.
+end

source

`,10))]),i("details",as,[i("summary",null,[s[225]||(s[225]=i("a",{id:"GeometryOps.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}",href:"#GeometryOps.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}"},"#",-1)),s[226]||(s[226]=a()),s[227]||(s[227]=i("span",{class:"jlbinding"},"GeometryOps.applyreduce",-1)),s[228]||(s[228]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[229]||(s[229]=t('
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)

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

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

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

source

',5))]),i("details",ts,[i("summary",null,[s[230]||(s[230]=i("a",{id:"GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[231]||(s[231]=a()),s[232]||(s[232]=i("span",{class:"jlbinding"},"GeometryOps.area",-1)),s[233]||(s[233]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[234]||(s[234]=t(`
julia
area(geom, [T = Float64])::T

Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:

- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.barycentric_coordinates! — Method.
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)

Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.

λs must be of the length of the polygon plus its holes.

Tip

Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.

source


# GeometryOps.barycentric_coordinates — Method.
julia
barycentric_coordinates(method = MeanValue(), polygon, point)

Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.

source


# GeometryOps.barycentric_interpolate — Method.
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)

Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.

Returns an object of type V.

Warning

Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).

source


# GeometryOps.centroid — Method.
julia
centroid(geom, [T=Float64])::Tuple{T, T}

Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.

source


# GeometryOps.centroid_and_area — Method.
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)

Returns the centroid and area of a given geometry.

source


# GeometryOps.centroid_and_length — Method.
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)

Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.

source


# GeometryOps.contains — Method.
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).

contains returns the exact opposite result of within.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+    is the sum of the areas of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

`,5))]),i("details",es,[i("summary",null,[s[235]||(s[235]=i("a",{id:"GeometryOps.barycentric_coordinates!-Tuple{Vector{<:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}",href:"#GeometryOps.barycentric_coordinates!-Tuple{Vector{<:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"},"#",-1)),s[236]||(s[236]=a()),s[237]||(s[237]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!",-1)),s[238]||(s[238]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[239]||(s[239]=t('
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)

Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.

λs must be of the length of the polygon plus its holes.

Tip

Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.

source

',5))]),i("details",ns,[i("summary",null,[s[240]||(s[240]=i("a",{id:"GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}",href:"#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"},"#",-1)),s[241]||(s[241]=a()),s[242]||(s[242]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates",-1)),s[243]||(s[243]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[244]||(s[244]=t('
julia
barycentric_coordinates(method = MeanValue(), polygon, point)

Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.

source

',3))]),i("details",ls,[i("summary",null,[s[245]||(s[245]=i("a",{id:"GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V",href:"#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"},"#",-1)),s[246]||(s[246]=a()),s[247]||(s[247]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate",-1)),s[248]||(s[248]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[249]||(s[249]=t('
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)

Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.

Returns an object of type V.

Warning

Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).

source

',5))]),i("details",ps,[i("summary",null,[s[250]||(s[250]=i("a",{id:"GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},"#",-1)),s[251]||(s[251]=a()),s[252]||(s[252]=i("span",{class:"jlbinding"},"GeometryOps.centroid",-1)),s[253]||(s[253]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[254]||(s[254]=t('
julia
centroid(geom, [T=Float64])::Tuple{T, T}

Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.

source

',3))]),i("details",hs,[i("summary",null,[s[255]||(s[255]=i("a",{id:"GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},"#",-1)),s[256]||(s[256]=a()),s[257]||(s[257]=i("span",{class:"jlbinding"},"GeometryOps.centroid_and_area",-1)),s[258]||(s[258]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[259]||(s[259]=t('
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)

Returns the centroid and area of a given geometry.

source

',3))]),i("details",ks,[i("summary",null,[s[260]||(s[260]=i("a",{id:"GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},"#",-1)),s[261]||(s[261]=a()),s[262]||(s[262]=i("span",{class:"jlbinding"},"GeometryOps.centroid_and_length",-1)),s[263]||(s[263]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[264]||(s[264]=t('
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)

Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.

source

',3))]),i("details",rs,[i("summary",null,[s[265]||(s[265]=i("a",{id:"GeometryOps.contains-Tuple{Any, Any}",href:"#GeometryOps.contains-Tuple{Any, Any}"},"#",-1)),s[266]||(s[266]=a()),s[267]||(s[267]=i("span",{class:"jlbinding"},"GeometryOps.contains",-1)),s[268]||(s[268]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[269]||(s[269]=t(`
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).

contains returns the exact opposite result of within.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true

source


# GeometryOps.convex_hull — Function.
julia
convex_hull([method], geometries)

Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.

Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.

Warning

This interface only computes the 2-dimensional convex hull!

For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).

source


# GeometryOps.coverage — Method.
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T

Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:

  • The signed area of a point is always zero.

  • The signed area of a curve is always zero.

  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.

  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.coveredby — Method.
julia
coveredby(g1, g2)::Bool

Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).

Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",os,[i("summary",null,[s[270]||(s[270]=i("a",{id:"GeometryOps.convex_hull",href:"#GeometryOps.convex_hull"},"#",-1)),s[271]||(s[271]=a()),s[272]||(s[272]=i("span",{class:"jlbinding"},"GeometryOps.convex_hull",-1)),s[273]||(s[273]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[274]||(s[274]=t('
julia
convex_hull([method], geometries)

Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.

Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.

Warning

This interface only computes the 2-dimensional convex hull!

For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).

source

',5))]),i("details",ds,[i("summary",null,[s[275]||(s[275]=i("a",{id:"GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[276]||(s[276]=a()),s[277]||(s[277]=i("span",{class:"jlbinding"},"GeometryOps.coverage",-1)),s[278]||(s[278]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[279]||(s[279]=t('
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T

Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:

  • The signed area of a point is always zero.

  • The signed area of a curve is always zero.

  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.

  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',5))]),i("details",gs,[i("summary",null,[s[280]||(s[280]=i("a",{id:"GeometryOps.coveredby-Tuple{Any, Any}",href:"#GeometryOps.coveredby-Tuple{Any, Any}"},"#",-1)),s[281]||(s[281]=a()),s[282]||(s[282]=i("span",{class:"jlbinding"},"GeometryOps.coveredby",-1)),s[283]||(s[283]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[284]||(s[284]=t(`
julia
coveredby(g1, g2)::Bool

Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).

Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true

source


# GeometryOps.covers — Method.
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.

covers returns the exact opposite result of coveredby.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",ys,[i("summary",null,[s[285]||(s[285]=i("a",{id:"GeometryOps.covers-Tuple{Any, Any}",href:"#GeometryOps.covers-Tuple{Any, Any}"},"#",-1)),s[286]||(s[286]=a()),s[287]||(s[287]=i("span",{class:"jlbinding"},"GeometryOps.covers",-1)),s[288]||(s[288]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[289]||(s[289]=t(`
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.

covers returns the exact opposite result of coveredby.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true

source


# GeometryOps.crosses — Method.
julia
 crosses(geom1, geom2)::Bool

Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.

TODO: broken

Examples

julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example

source


# GeometryOps.cut — Method.
julia
cut(geom, line, [T::Type])

Return given geom cut by given line as a list of geometries of the same type as the input geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.

Note: This currently doesn't work for degenerate cases there line crosses through vertices.

Example

julia
import GeoInterface as GI, GeometryOps as GO
+true

source

`,6))]),i("details",Es,[i("summary",null,[s[290]||(s[290]=i("a",{id:"GeometryOps.crosses-Tuple{Any, Any}",href:"#GeometryOps.crosses-Tuple{Any, Any}"},"#",-1)),s[291]||(s[291]=a()),s[292]||(s[292]=i("span",{class:"jlbinding"},"GeometryOps.crosses",-1)),s[293]||(s[293]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[294]||(s[294]=t(`
julia
 crosses(geom1, geom2)::Bool

Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.

TODO: broken

Examples

julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example

source

`,6))]),i("details",cs,[i("summary",null,[s[295]||(s[295]=i("a",{id:"GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[296]||(s[296]=a()),s[297]||(s[297]=i("span",{class:"jlbinding"},"GeometryOps.cut",-1)),s[298]||(s[298]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[299]||(s[299]=t(`
julia
cut(geom, line, [T::Type])

Return given geom cut by given line as a list of geometries of the same type as the input geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.

Note: This currently doesn't work for degenerate cases there line crosses through vertices.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0.0, 0.0), (10.0, 0.0), (10.0, 10.0), (0.0, 10.0), (0.0, 0.0)]])
 line = GI.Line([(5.0, -5.0), (5.0, 15.0)])
@@ -189,7 +189,7 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 # output
 2-element Vector{Vector{Vector{Vector{Float64}}}}:
  [[[0.0, 0.0], [5.0, 0.0], [5.0, 10.0], [0.0, 10.0], [0.0, 0.0]]]
- [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]

source


# GeometryOps.difference — Method.
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.

Example

julia
import GeoInterface as GI, GeometryOps as GO
+ [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]

source

`,6))]),i("details",us,[i("summary",null,[s[300]||(s[300]=i("a",{id:"GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[301]||(s[301]=a()),s[302]||(s[302]=i("span",{class:"jlbinding"},"GeometryOps.difference",-1)),s[303]||(s[303]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[304]||(s[304]=t(`
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 poly1 = GI.Polygon([[[0.0, 0.0], [5.0, 5.0], [10.0, 0.0], [5.0, -5.0], [0.0, 0.0]]])
 poly2 = GI.Polygon([[[3.0, 0.0], [8.0, 5.0], [13.0, 0.0], [8.0, -5.0], [3.0, 0.0]]])
@@ -198,33 +198,33 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]

source


# GeometryOps.disjoint — Method.
julia
disjoint(geom1, geom2)::Bool

Return true if the first geometry is disjoint from the second geometry.

Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]

source

`,5))]),i("details",ms,[i("summary",null,[s[305]||(s[305]=i("a",{id:"GeometryOps.disjoint-Tuple{Any, Any}",href:"#GeometryOps.disjoint-Tuple{Any, Any}"},"#",-1)),s[306]||(s[306]=a()),s[307]||(s[307]=i("span",{class:"jlbinding"},"GeometryOps.disjoint",-1)),s[308]||(s[308]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[309]||(s[309]=t(`
julia
disjoint(geom1, geom2)::Bool

Return true if the first geometry is disjoint from the second geometry.

Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true

source


# GeometryOps.distance — Method.
julia
distance(point, geom, ::Type{T} = Float64)::T

Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.

The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.embed_extent — Method.
julia
embed_extent(obj)

Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.

This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.

Keywords

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

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

source


# GeometryOps.enforce — Method.
julia
enforce(alg::GO.GEOS, kw::Symbol, f)

Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].

Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).

source


# GeometryOps.equals — Method.
julia
equals(trait_a, geom_a, trait_b, geom_b)

Two geometries which are not of the same type cannot be equal so they always return false.

source


# GeometryOps.equals — Method.
julia
equals(geom1, geom2)::Bool

Compare two Geometries return true if they are the same geometry.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",Fs,[i("summary",null,[s[310]||(s[310]=i("a",{id:"GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[311]||(s[311]=a()),s[312]||(s[312]=i("span",{class:"jlbinding"},"GeometryOps.distance",-1)),s[313]||(s[313]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[314]||(s[314]=t('
julia
distance(point, geom, ::Type{T} = Float64)::T

Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.

The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',5))]),i("details",Cs,[i("summary",null,[s[315]||(s[315]=i("a",{id:"GeometryOps.embed_extent-Tuple{Any}",href:"#GeometryOps.embed_extent-Tuple{Any}"},"#",-1)),s[316]||(s[316]=a()),s[317]||(s[317]=i("span",{class:"jlbinding"},"GeometryOps.embed_extent",-1)),s[318]||(s[318]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[319]||(s[319]=t('
julia
embed_extent(obj)

Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.

This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.

Keywords

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

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

source

',6))]),i("details",bs,[i("summary",null,[s[320]||(s[320]=i("a",{id:"GeometryOps.enforce-Tuple{GEOS, Symbol, Any}",href:"#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"},"#",-1)),s[321]||(s[321]=a()),s[322]||(s[322]=i("span",{class:"jlbinding"},"GeometryOps.enforce",-1)),s[323]||(s[323]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[324]||(s[324]=t('
julia
enforce(alg::GO.GEOS, kw::Symbol, f)

Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].

Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).

source

',4))]),i("details",fs,[i("summary",null,[s[325]||(s[325]=i("a",{id:"GeometryOps.equals-NTuple{4, Any}",href:"#GeometryOps.equals-NTuple{4, Any}"},"#",-1)),s[326]||(s[326]=a()),s[327]||(s[327]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[328]||(s[328]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[329]||(s[329]=t('
julia
equals(trait_a, geom_a, trait_b, geom_b)

Two geometries which are not of the same type cannot be equal so they always return false.

source

',3))]),i("details",Ts,[i("summary",null,[s[330]||(s[330]=i("a",{id:"GeometryOps.equals-Tuple{Any, Any}",href:"#GeometryOps.equals-Tuple{Any, Any}"},"#",-1)),s[331]||(s[331]=a()),s[332]||(s[332]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[333]||(s[333]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[334]||(s[334]=t(`
julia
equals(geom1, geom2)::Bool

Compare two Geometries return true if they are the same geometry.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
 GO.equals(poly1, poly2)
 # output
-true

source


# GeometryOps.equals — Method.
julia
equals(
+true

source

`,5))]),i("details",vs,[i("summary",null,[s[335]||(s[335]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"},"#",-1)),s[336]||(s[336]=a()),s[337]||(s[337]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[338]||(s[338]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[339]||(s[339]=t(`
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool

Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.

source


# GeometryOps.equals — Method.
julia
equals(
+)::Bool

Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.

source

`,3))]),i("details",Gs,[i("summary",null,[s[340]||(s[340]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"},"#",-1)),s[341]||(s[341]=a()),s[342]||(s[342]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[343]||(s[343]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[344]||(s[344]=t(`
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool

A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source


# GeometryOps.equals — Method.
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool

Two multipoints are equal if they share the same set of points.

source


# GeometryOps.equals — Method.
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool

A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two multipolygons are equal if they share the same set of polygons.

source


# GeometryOps.equals — Method.
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool

A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool

Two points are the same if they have the same x and y (and z if 3D) coordinates.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two polygons are equal if they share the same exterior edge and holes.

source


# GeometryOps.equals — Method.
julia
equals(
+)::Bool

A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source

`,3))]),i("details",As,[i("summary",null,[s[345]||(s[345]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"},"#",-1)),s[346]||(s[346]=a()),s[347]||(s[347]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[348]||(s[348]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[349]||(s[349]=t('
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool

Two multipoints are equal if they share the same set of points.

source

',3))]),i("details",js,[i("summary",null,[s[350]||(s[350]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"},"#",-1)),s[351]||(s[351]=a()),s[352]||(s[352]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[353]||(s[353]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[354]||(s[354]=t('
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool

A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.

source

',3))]),i("details",Bs,[i("summary",null,[s[355]||(s[355]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},"#",-1)),s[356]||(s[356]=a()),s[357]||(s[357]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[358]||(s[358]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[359]||(s[359]=t('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two multipolygons are equal if they share the same set of polygons.

source

',3))]),i("details",Os,[i("summary",null,[s[360]||(s[360]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},"#",-1)),s[361]||(s[361]=a()),s[362]||(s[362]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[363]||(s[363]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[364]||(s[364]=t('
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

',3))]),i("details",Ds,[i("summary",null,[s[365]||(s[365]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"},"#",-1)),s[366]||(s[366]=a()),s[367]||(s[367]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[368]||(s[368]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[369]||(s[369]=t('
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool

A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.

source

',3))]),i("details",xs,[i("summary",null,[s[370]||(s[370]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"},"#",-1)),s[371]||(s[371]=a()),s[372]||(s[372]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[373]||(s[373]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[374]||(s[374]=t('
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool

Two points are the same if they have the same x and y (and z if 3D) coordinates.

source

',3))]),i("details",Qs,[i("summary",null,[s[375]||(s[375]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},"#",-1)),s[376]||(s[376]=a()),s[377]||(s[377]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[378]||(s[378]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[379]||(s[379]=t('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

',3))]),i("details",ws,[i("summary",null,[s[380]||(s[380]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},"#",-1)),s[381]||(s[381]=a()),s[382]||(s[382]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[383]||(s[383]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[384]||(s[384]=t('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two polygons are equal if they share the same exterior edge and holes.

source

',3))]),i("details",Is,[i("summary",null,[s[385]||(s[385]=i("a",{id:"GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}",href:"#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"},"#",-1)),s[386]||(s[386]=a()),s[387]||(s[387]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[388]||(s[388]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[389]||(s[389]=t(`
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool

A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source


# GeometryOps.equals — Method.
julia
equals(
+)::Bool

A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source

`,3))]),i("details",Ls,[i("summary",null,[s[390]||(s[390]=i("a",{id:"GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}",href:"#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"},"#",-1)),s[391]||(s[391]=a()),s[392]||(s[392]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[393]||(s[393]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[394]||(s[394]=t(`
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool

Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.

source


# GeometryOps.equals — Method.
julia
equals(::T, geom_a, ::T, geom_b)::Bool

Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.

source


# GeometryOps.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
+)::Bool

Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.

source

`,3))]),i("details",Ms,[i("summary",null,[s[395]||(s[395]=i("a",{id:"GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T",href:"#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"},"#",-1)),s[396]||(s[396]=a()),s[397]||(s[397]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[398]||(s[398]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[399]||(s[399]=t('
julia
equals(::T, geom_a, ::T, geom_b)::Bool

Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.

source

',3))]),i("details",Ps,[i("summary",null,[s[400]||(s[400]=i("a",{id:"GeometryOps.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target<:GeoInterface.AbstractTrait",href:"#GeometryOps.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target<:GeoInterface.AbstractTrait"},"#",-1)),s[401]||(s[401]=a()),s[402]||(s[402]=i("span",{class:"jlbinding"},"GeometryOps.flatten",-1)),s[403]||(s[403]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[404]||(s[404]=t(`
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
+flatten(f, target::Type{<:GI.AbstractTrait}, obj)

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

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

source

`,4))]),i("details",qs,[i("summary",null,[s[405]||(s[405]=i("a",{id:"GeometryOps.flip-Tuple{Any}",href:"#GeometryOps.flip-Tuple{Any}"},"#",-1)),s[406]||(s[406]=a()),s[407]||(s[407]=i("span",{class:"jlbinding"},"GeometryOps.flip",-1)),s[408]||(s[408]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[409]||(s[409]=t('
julia
flip(obj)

Swap all of the x and y coordinates in obj, otherwise keeping the original structure (but not necessarily the original type).

Keywords

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

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

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

source

',5))]),i("details",Rs,[i("summary",null,[s[410]||(s[410]=i("a",{id:"GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[411]||(s[411]=a()),s[412]||(s[412]=i("span",{class:"jlbinding"},"GeometryOps.intersection",-1)),s[413]||(s[413]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[414]||(s[414]=t(`
julia
intersection(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the intersection between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a target type as a keyword argument and a list of target geometries found in the intersection will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to nothing if you know that the multipolygons are valid, as it will avoid unneeded computation.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
@@ -233,7 +233,7 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 
 # output
 1-element Vector{Vector{Float64}}:
- [125.58375366067548, -14.83572303404496]

source


# GeometryOps.intersection_points — Method.
julia
intersection_points(geom_a, geom_b, [T::Type])

Return a list of intersection tuple points between two geometries. If no intersection points exist, returns an empty list.

Example

jldoctest

+ [125.58375366067548, -14.83572303404496]

source

`,5))]),i("details",Ss,[i("summary",null,[s[415]||(s[415]=i("a",{id:"GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[416]||(s[416]=a()),s[417]||(s[417]=i("span",{class:"jlbinding"},"GeometryOps.intersection_points",-1)),s[418]||(s[418]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[419]||(s[419]=t(`
julia
intersection_points(geom_a, geom_b, [T::Type])

Return a list of intersection tuple points between two geometries. If no intersection points exist, returns an empty list.

Example

jldoctest

 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)]) line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)]) inter_points = GO.intersection_points(line1, line2)
 
 **output**
@@ -243,11 +243,10 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 
 [source](https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/intersection.jl#L177-L195)
 
-</div>
-<br>
-<div style='border-width:1px; border-style:solid; border-color:black; padding: 1em; border-radius: 25px;'>
-<a id='GeometryOps.intersects-Tuple{Any, Any}' href='#GeometryOps.intersects-Tuple{Any, Any}'>#</a>&nbsp;<b><u>GeometryOps.intersects</u></b> &mdash; <i>Method</i>.
+</details>
 
+<details class='jldocstring custom-block' open>
+<summary><a id='GeometryOps.intersects-Tuple{Any, Any}' href='#GeometryOps.intersects-Tuple{Any, Any}'>#</a> <span class="jlbinding">GeometryOps.intersects</span> <Badge type="info" class="jlObjectType jlMethod" text="Method" /></summary>
 
 
 
@@ -259,57 +258,57 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 GO.intersects(line1, line2)
 
 # output
-true

source


`,178)),s("div",h,[i[2]||(i[2]=a('# GeometryOps.isclockwise — Method.
julia
isclockwise(line::Union{LineString, Vector{Position}})::Bool

Take a ring and return true if the line goes clockwise, or false if the line goes counter-clockwise. "Going clockwise" means, mathematically,

',8)),s("mjx-container",p,[(t(),e("svg",r,i[0]||(i[0]=[a('',1)]))),i[1]||(i[1]=s("mjx-assistive-mml",{unselectable:"on",display:"block",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("munderover",null,[s("mo",{"data-mjx-texclass":"OP"},"∑"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"i"),s("mo",null,"="),s("mn",null,"2")]),s("mi",null,"n")]),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mi",null,"i")]),s("mo",null,"−"),s("msub",null,[s("mi",null,"x"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"i"),s("mo",null,"−"),s("mn",null,"1")])]),s("mo",{stretchy:"false"},")"),s("mo",null,"⋅"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"y"),s("mi",null,"i")]),s("mo",null,"+"),s("msub",null,[s("mi",null,"y"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"i"),s("mo",null,"−"),s("mn",null,"1")])]),s("mo",{stretchy:"false"},")"),s("mo",{"data-mjx-texclass":"CLOSE"},")")]),s("mo",null,">"),s("mn",null,"0")])],-1))]),i[3]||(i[3]=a(`

Example

julia
julia> import GeoInterface as GI, GeometryOps as GO
+true

source

`,9))]),i("details",Vs,[i("summary",null,[s[420]||(s[420]=i("a",{id:"GeometryOps.isclockwise-Tuple{Any}",href:"#GeometryOps.isclockwise-Tuple{Any}"},"#",-1)),s[421]||(s[421]=a()),s[422]||(s[422]=i("span",{class:"jlbinding"},"GeometryOps.isclockwise",-1)),s[423]||(s[423]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[426]||(s[426]=t('
julia
isclockwise(line::Union{LineString, Vector{Position}})::Bool

Take a ring and return true if the line goes clockwise, or false if the line goes counter-clockwise. "Going clockwise" means, mathematically,

',2)),i("mjx-container",Us,[(p(),l("svg",Js,s[424]||(s[424]=[t('',1)]))),s[425]||(s[425]=i("mjx-assistive-mml",{unselectable:"on",display:"block",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",overflow:"hidden",width:"100%"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[i("mrow",{"data-mjx-texclass":"INNER"},[i("mo",{"data-mjx-texclass":"OPEN"},"("),i("munderover",null,[i("mo",{"data-mjx-texclass":"OP"},"∑"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"="),i("mn",null,"2")]),i("mi",null,"n")]),i("mo",{stretchy:"false"},"("),i("msub",null,[i("mi",null,"x"),i("mi",null,"i")]),i("mo",null,"−"),i("msub",null,[i("mi",null,"x"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"−"),i("mn",null,"1")])]),i("mo",{stretchy:"false"},")"),i("mo",null,"⋅"),i("mo",{stretchy:"false"},"("),i("msub",null,[i("mi",null,"y"),i("mi",null,"i")]),i("mo",null,"+"),i("msub",null,[i("mi",null,"y"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"−"),i("mn",null,"1")])]),i("mo",{stretchy:"false"},")"),i("mo",{"data-mjx-texclass":"CLOSE"},")")]),i("mo",null,">"),i("mn",null,"0")])],-1))]),s[427]||(s[427]=t(`

Example

julia
julia> import GeoInterface as GI, GeometryOps as GO
 julia> ring = GI.LinearRing([(0, 0), (1, 1), (1, 0), (0, 0)]);
 julia> GO.isclockwise(ring)
 # output
-true

source

`,3))]),i[9]||(i[9]=a(`
# GeometryOps.isconcave — Method.
julia
isconcave(poly::Polygon)::Bool

Take a polygon and return true or false as to whether it is concave or not.

Examples

julia
import GeoInterface as GI, GeometryOps as GO
+true

source

`,3))]),i("details",Hs,[i("summary",null,[s[428]||(s[428]=i("a",{id:"GeometryOps.isconcave-Tuple{Any}",href:"#GeometryOps.isconcave-Tuple{Any}"},"#",-1)),s[429]||(s[429]=a()),s[430]||(s[430]=i("span",{class:"jlbinding"},"GeometryOps.isconcave",-1)),s[431]||(s[431]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[432]||(s[432]=t(`
julia
isconcave(poly::Polygon)::Bool

Take a polygon and return true or false as to whether it is concave or not.

Examples

julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0, 0), (0, 1), (1, 1), (1, 0), (0, 0)]])
 GO.isconcave(poly)
 
 # output
-false

source


# GeometryOps.overlaps — Method.
julia
overlaps(geom1, geom2)::Bool

Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+false

source

`,5))]),i("details",Ns,[i("summary",null,[s[433]||(s[433]=i("a",{id:"GeometryOps.overlaps-Tuple{Any, Any}",href:"#GeometryOps.overlaps-Tuple{Any, Any}"},"#",-1)),s[434]||(s[434]=a()),s[435]||(s[435]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[436]||(s[436]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[437]||(s[437]=t(`
julia
overlaps(geom1, geom2)::Bool

Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
 GO.overlaps(poly1, poly2)
 # output
-true

source


# GeometryOps.overlaps — Method.
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool

For any non-specified pair, all have non-matching dimensions, return false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool

If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+true

source

`,5))]),i("details",Ws,[i("summary",null,[s[438]||(s[438]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"},"#",-1)),s[439]||(s[439]=a()),s[440]||(s[440]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[441]||(s[441]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[442]||(s[442]=t('
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool

For any non-specified pair, all have non-matching dimensions, return false.

source

',3))]),i("details",zs,[i("summary",null,[s[443]||(s[443]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"},"#",-1)),s[444]||(s[444]=a()),s[445]||(s[445]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[446]||(s[446]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[447]||(s[447]=t('
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool

If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.

source

',3))]),i("details",Zs,[i("summary",null,[s[448]||(s[448]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"},"#",-1)),s[449]||(s[449]=a()),s[450]||(s[450]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[451]||(s[451]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[452]||(s[452]=t(`
julia
overlaps(
     ::GI.MultiPointTrait, points1,
     ::GI.MultiPointTrait, points2,
-)::Bool

If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.

source

`,3))]),i("details",Ks,[i("summary",null,[s[453]||(s[453]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},"#",-1)),s[454]||(s[454]=a()),s[455]||(s[455]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[456]||(s[456]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[457]||(s[457]=t(`
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool

Return true if at least one pair of polygons from multipolygons overlap. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

Return true if at least one pair of polygons from multipolygons overlap. Else false.

source

`,3))]),i("details",Xs,[i("summary",null,[s[458]||(s[458]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},"#",-1)),s[459]||(s[459]=a()),s[460]||(s[460]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[461]||(s[461]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[462]||(s[462]=t(`
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.PolygonTrait, poly2,
-)::Bool

Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.

source

`,3))]),i("details",$s,[i("summary",null,[s[463]||(s[463]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},"#",-1)),s[464]||(s[464]=a()),s[465]||(s[465]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[466]||(s[466]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[467]||(s[467]=t(`
julia
overlaps(
     ::GI.PolygonTrait, poly1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool

Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.

source

`,3))]),i("details",Ys,[i("summary",null,[s[468]||(s[468]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},"#",-1)),s[469]||(s[469]=a()),s[470]||(s[470]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[471]||(s[471]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[472]||(s[472]=t(`
julia
overlaps(
     trait_a::GI.PolygonTrait, poly_a,
     trait_b::GI.PolygonTrait, poly_b,
-)::Bool

If the two polygons intersect with one another, but are not equal, return true. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

If the two polygons intersect with one another, but are not equal, return true. Else false.

source

`,3))]),i("details",_s,[i("summary",null,[s[473]||(s[473]=i("a",{id:"GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}",href:"#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"},"#",-1)),s[474]||(s[474]=a()),s[475]||(s[475]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[476]||(s[476]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[477]||(s[477]=t(`
julia
overlaps(
     ::Union{GI.LineStringTrait, GI.LinearRing}, line1,
     ::Union{GI.LineStringTrait, GI.LinearRing}, line2,
-)::Bool

If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.

source


# GeometryOps.polygon_to_line — Method.
julia
polygon_to_line(poly::Polygon)

Converts a Polygon to LineString or MultiLineString

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool

If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.

source

`,3))]),i("details",si,[i("summary",null,[s[478]||(s[478]=i("a",{id:"GeometryOps.polygon_to_line-Tuple{Any}",href:"#GeometryOps.polygon_to_line-Tuple{Any}"},"#",-1)),s[479]||(s[479]=a()),s[480]||(s[480]=i("span",{class:"jlbinding"},"GeometryOps.polygon_to_line",-1)),s[481]||(s[481]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[482]||(s[482]=t(`
julia
polygon_to_line(poly::Polygon)

Converts a Polygon to LineString or MultiLineString

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 poly = GI.Polygon([[(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)]])
 GO.polygon_to_line(poly)
 # output
-GeoInterface.Wrappers.LineString{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)], nothing, nothing)

source


# GeometryOps.polygonize — Method.
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
+GeoInterface.Wrappers.LineString{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)], nothing, nothing)

source

`,5))]),i("details",ii,[i("summary",null,[s[483]||(s[483]=i("a",{id:"GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}",href:"#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"},"#",-1)),s[484]||(s[484]=a()),s[485]||(s[485]=i("span",{class:"jlbinding"},"GeometryOps.polygonize",-1)),s[486]||(s[486]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[487]||(s[487]=t(`
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
 polygonize(f, A::AbstractMatrix; kw...)
 polygonize(xs, ys, A::AbstractMatrix{Bool}; kw...)
 polygonize(f, xs, ys, A::AbstractMatrix; kw...)

Polygonize an AbstractMatrix of values, currently to a single class of polygons.

Returns a MultiPolygon for Bool values and f return values, and a FeatureCollection of Features holding MultiPolygon for all other values.

Function f should return either true or false or a transformation of values into simpler groups, especially useful for floating point arrays.

If xs and ys are ranges, they are used as the pixel/cell center points. If they are Vector of Tuple they are used as the lower and upper bounds of each pixel/cell.

Keywords

  • minpoints: ignore polygons with less than minpoints points.

  • values: the values to turn into polygons. By default these are union(A), If function f is passed these refer to the return values of f, by default union(map(f, A). If values Bool, false is ignored and a single MultiPolygon is returned rather than a FeatureCollection.

Example

julia
using GeometryOps
 A = rand(100, 100)
-multipolygon = polygonize(>(0.5), A);

source


# GeometryOps.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.
+multipolygon = polygonize(>(0.5), A);

source

`,10))]),i("details",ai,[i("summary",null,[s[488]||(s[488]=i("a",{id:"GeometryOps.rebuild-Tuple{Any, Any}",href:"#GeometryOps.rebuild-Tuple{Any, Any}"},"#",-1)),s[489]||(s[489]=a()),s[490]||(s[490]=i("span",{class:"jlbinding"},"GeometryOps.rebuild",-1)),s[491]||(s[491]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[492]||(s[492]=t('
julia
rebuild(geom, child_geoms)

Rebuild a geometry from child geometries.

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

(Maybe it should go into GeoInterface.jl)

source

',5))]),i("details",ti,[i("summary",null,[s[493]||(s[493]=i("a",{id:"GeometryOps.reconstruct-Tuple{Any, Any}",href:"#GeometryOps.reconstruct-Tuple{Any, Any}"},"#",-1)),s[494]||(s[494]=a()),s[495]||(s[495]=i("span",{class:"jlbinding"},"GeometryOps.reconstruct",-1)),s[496]||(s[496]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[497]||(s[497]=t('
julia
reconstruct(geom, components)

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

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

Usually used in combination with flatten.

source

',5))]),i("details",ei,[i("summary",null,[s[498]||(s[498]=i("a",{id:"GeometryOps.segmentize-Tuple{Any}",href:"#GeometryOps.segmentize-Tuple{Any}"},"#",-1)),s[499]||(s[499]=a()),s[500]||(s[500]=i("span",{class:"jlbinding"},"GeometryOps.segmentize",-1)),s[501]||(s[501]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[502]||(s[502]=t('
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

',6))]),i("details",ni,[i("summary",null,[s[503]||(s[503]=i("a",{id:"GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[504]||(s[504]=a()),s[505]||(s[505]=i("span",{class:"jlbinding"},"GeometryOps.signed_area",-1)),s[506]||(s[506]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[507]||(s[507]=t(`
julia
signed_area(geom, [T = Float64])::T

Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:

- The signed area of a point is always zero.
 - The signed area of a curve is always zero.
 - The signed area of a polygon is computed with the shoelace formula and is
 positive if the polygon coordinates wind clockwise and negative if
 counterclockwise.
 - You cannot compute the signed area of a multipolygon as it doesn't have a
-meaning as each sub-polygon could have a different winding order.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.signed_distance — Method.
julia
signed_distance(point, geom, ::Type{T} = Float64)::T

Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.simplify — Method.
julia
simplify(obj; kw...)
+meaning as each sub-polygon could have a different winding order.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

`,5))]),i("details",li,[i("summary",null,[s[508]||(s[508]=i("a",{id:"GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[509]||(s[509]=a()),s[510]||(s[510]=i("span",{class:"jlbinding"},"GeometryOps.signed_distance",-1)),s[511]||(s[511]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[512]||(s[512]=t('
julia
signed_distance(point, geom, ::Type{T} = Float64)::T

Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',4))]),i("details",pi,[i("summary",null,[s[513]||(s[513]=i("a",{id:"GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}",href:"#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"},"#",-1)),s[514]||(s[514]=a()),s[515]||(s[515]=i("span",{class:"jlbinding"},"GeometryOps.simplify",-1)),s[516]||(s[516]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[517]||(s[517]=t(`
julia
simplify(obj; kw...)
 simplify(::SimplifyAlg, obj; kw...)

Simplify a geometry, feature, feature collection, or nested vectors or a table of these.

RadialDistance, DouglasPeucker, or VisvalingamWhyatt algorithms are available, listed in order of increasing quality but decreasing performance.

PoinTrait and MultiPointTrait are returned unchanged.

The default behaviour is simplify(DouglasPeucker(; kw...), obj). Pass in other SimplifyAlg to use other algorithms.

Keywords

  • prefilter_alg: SimplifyAlg algorithm used to pre-filter object before using primary filtering algorithm.

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

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

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

Keywords for DouglasPeucker are allowed when no algorithm is specified:

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum distance a point will be from the line joining its neighboring points.

Example

Simplify a polygon to have six points:

julia
import GeoInterface as GI
 import GeometryOps as GO
 
@@ -339,27 +338,26 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 GI.npoint(simple)
 
 # output
-6

source


`,37)),s("div",k,[i[6]||(i[6]=a('# GeometryOps.t_value — Method.
julia
t_value(sᵢ, sᵢ₊₁, rᵢ, rᵢ₊₁)

Returns the "T-value" as described in Hormann's presentation [1] on how to calculate the mean-value coordinate.

Here, sᵢ is the vector from vertex vᵢ to the point, and rᵢ is the norm (length) of sᵢ. s must be Point and r must be real numbers.

',9)),s("mjx-container",o,[(t(),e("svg",d,i[4]||(i[4]=[a('ᵢᵢᵢ₊₁ᵢᵢ₊₁ᵢᵢ₊₁',1)]))),i[5]||(i[5]=s("mjx-assistive-mml",{unselectable:"on",display:"block",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mi",null,"t"),s("mi",null,"ᵢ"),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",{"data-mjx-auto-op":"false"},"det")]),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mo",null,","),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])]),s("mrow",null,[s("mi",null,"r"),s("mi",null,"ᵢ"),s("mo",null,"∗"),s("mi",null,"r"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")]),s("mo",null,"+"),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mo",null,"⋅"),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")])])])])],-1))]),i[7]||(i[7]=a(`

+6

source

`,14))]),i("details",hi,[i("summary",null,[s[518]||(s[518]=i("a",{id:"GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}",href:"#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}"},"#",-1)),s[519]||(s[519]=a()),s[520]||(s[520]=i("span",{class:"jlbinding"},"GeometryOps.t_value",-1)),s[521]||(s[521]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[524]||(s[524]=t('
julia
t_value(sᵢ, sᵢ₊₁, rᵢ, rᵢ₊₁)

Returns the "T-value" as described in Hormann's presentation [1] on how to calculate the mean-value coordinate.

Here, sᵢ is the vector from vertex vᵢ to the point, and rᵢ is the norm (length) of sᵢ. s must be Point and r must be real numbers.

',3)),i("mjx-container",ki,[(p(),l("svg",ri,s[522]||(s[522]=[t('ᵢᵢᵢ₊₁ᵢᵢ₊₁ᵢᵢ₊₁',1)]))),s[523]||(s[523]=i("mjx-assistive-mml",{unselectable:"on",display:"block",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",overflow:"hidden",width:"100%"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[i("mi",null,"t"),i("mi",null,"ᵢ"),i("mo",null,"="),i("mfrac",null,[i("mrow",null,[i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",{"data-mjx-auto-op":"false"},"det")]),i("mrow",{"data-mjx-texclass":"INNER"},[i("mo",{"data-mjx-texclass":"OPEN"},"("),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mo",null,","),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")]),i("mo",{"data-mjx-texclass":"CLOSE"},")")])]),i("mrow",null,[i("mi",null,"r"),i("mi",null,"ᵢ"),i("mo",null,"∗"),i("mi",null,"r"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")]),i("mo",null,"+"),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mo",null,"⋅"),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")])])])])],-1))]),s[525]||(s[525]=t(`

 
 [source](https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L289-L305)
 
-</div>
-<br>
-<div style='border-width:1px; border-style:solid; border-color:black; padding: 1em; border-radius: 25px;'>
-<a id='GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T' href='#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T'>#</a>&nbsp;<b><u>GeometryOps.to_edges</u></b> &mdash; <i>Method</i>.
+</details>
 
+<details class='jldocstring custom-block' open>
+<summary><a id='GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T' href='#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T'>#</a> <span class="jlbinding">GeometryOps.to_edges</span> <Badge type="info" class="jlObjectType jlMethod" text="Method" /></summary>
 
 
 
 \`\`\`julia
-to_edges()

Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.

source

`,3))]),i[10]||(i[10]=a(`
# GeometryOps.touches — Method.
julia
touches(geom1, geom2)::Bool

Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+to_edges()

Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.

source

`,3))]),i("details",oi,[i("summary",null,[s[526]||(s[526]=i("a",{id:"GeometryOps.touches-Tuple{Any, Any}",href:"#GeometryOps.touches-Tuple{Any, Any}"},"#",-1)),s[527]||(s[527]=a()),s[528]||(s[528]=i("span",{class:"jlbinding"},"GeometryOps.touches",-1)),s[529]||(s[529]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[530]||(s[530]=t(`
julia
touches(geom1, geom2)::Bool

Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true

source


# GeometryOps.transform — Method.
julia
transform(f, obj)

Apply a function f to all the points in obj.

Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.

SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.

Example

julia
julia> import GeoInterface as GI
+true

source

`,5))]),i("details",di,[i("summary",null,[s[531]||(s[531]=i("a",{id:"GeometryOps.transform-Tuple{Any, Any}",href:"#GeometryOps.transform-Tuple{Any, Any}"},"#",-1)),s[532]||(s[532]=a()),s[533]||(s[533]=i("span",{class:"jlbinding"},"GeometryOps.transform",-1)),s[534]||(s[534]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[535]||(s[535]=t(`
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
 
@@ -378,7 +376,7 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)

source


# GeometryOps.tuples — Method.
julia
tuples(obj)

Convert all points in obj to Tuples, wherever the are nested.

Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.

Keywords

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

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

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

source


# GeometryOps.union — Method.
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.

Calculates the union between two polygons.

Example

julia
import GeoInterface as GI, GeometryOps as GO
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)

source

`,9))]),i("details",gi,[i("summary",null,[s[536]||(s[536]=i("a",{id:"GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},"#",-1)),s[537]||(s[537]=a()),s[538]||(s[538]=i("span",{class:"jlbinding"},"GeometryOps.tuples",-1)),s[539]||(s[539]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[540]||(s[540]=t('
julia
tuples(obj)

Convert all points in obj to Tuples, wherever the are nested.

Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.

Keywords

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

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

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

source

',6))]),i("details",yi,[i("summary",null,[s[541]||(s[541]=i("a",{id:"GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[542]||(s[542]=a()),s[543]||(s[543]=i("span",{class:"jlbinding"},"GeometryOps.union",-1)),s[544]||(s[544]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[545]||(s[545]=t(`
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.

Calculates the union between two polygons.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 p1 = GI.Polygon([[(0.0, 0.0), (5.0, 5.0), (10.0, 0.0), (5.0, -5.0), (0.0, 0.0)]])
 p2 = GI.Polygon([[(3.0, 0.0), (8.0, 5.0), (13.0, 0.0), (8.0, -5.0), (3.0, 0.0)]])
@@ -387,12 +385,12 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]

source


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

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

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

source


# GeometryOps.weighted_mean — Method.
julia
weighted_mean(weight::Real, x1, x2)

Returns the weighted mean of x1 and x2, where weight is the weight of x1.

Specifically, calculates x1 * weight + x2 * (1 - weight).

Note

The idea for this method is that you can override this for custom types, like Color types, in extension modules.

source


# GeometryOps.within — Method.
julia
within(geom1, geom2)::Bool

Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).

Furthermore, within returns the exact opposite result of contains.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]

source

`,6))]),i("details",Ei,[i("summary",null,[s[546]||(s[546]=i("a",{id:"GeometryOps.unwrap",href:"#GeometryOps.unwrap"},"#",-1)),s[547]||(s[547]=a()),s[548]||(s[548]=i("span",{class:"jlbinding"},"GeometryOps.unwrap",-1)),s[549]||(s[549]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[550]||(s[550]=t(`
julia
unwrap(target::Type{<:AbstractTrait}, obj)
+unwrap(f, target::Type{<:AbstractTrait}, obj)

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

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

source

`,4))]),i("details",ci,[i("summary",null,[s[551]||(s[551]=i("a",{id:"GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real",href:"#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real"},"#",-1)),s[552]||(s[552]=a()),s[553]||(s[553]=i("span",{class:"jlbinding"},"GeometryOps.weighted_mean",-1)),s[554]||(s[554]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[555]||(s[555]=t('
julia
weighted_mean(weight::Real, x1, x2)

Returns the weighted mean of x1 and x2, where weight is the weight of x1.

Specifically, calculates x1 * weight + x2 * (1 - weight).

Note

The idea for this method is that you can override this for custom types, like Color types, in extension modules.

source

',5))]),i("details",ui,[i("summary",null,[s[556]||(s[556]=i("a",{id:"GeometryOps.within-Tuple{Any, Any}",href:"#GeometryOps.within-Tuple{Any, Any}"},"#",-1)),s[557]||(s[557]=a()),s[558]||(s[558]=i("span",{class:"jlbinding"},"GeometryOps.within",-1)),s[559]||(s[559]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[560]||(s[560]=t(`
julia
within(geom1, geom2)::Bool

Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).

Furthermore, within returns the exact opposite result of contains.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true

source


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

`,17))])}const C=n(l,[["render",g]]);export{b as __pageData,C as default}; +true

source

`,6))]),s[567]||(s[567]=t('

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

',2))])}const Ai=h(r,[["render",mi]]);export{Gi as __pageData,Ai as default}; diff --git a/previews/PR206/assets/api.md.QUa7Ss_z.lean.js b/previews/PR206/assets/api.md.nWIynlTQ.lean.js similarity index 56% rename from previews/PR206/assets/api.md.QUa7Ss_z.lean.js rename to previews/PR206/assets/api.md.nWIynlTQ.lean.js index 8b20d264c..50480983f 100644 --- a/previews/PR206/assets/api.md.QUa7Ss_z.lean.js +++ b/previews/PR206/assets/api.md.nWIynlTQ.lean.js @@ -1,13 +1,13 @@ -import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";const b=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h={style:{"border-width":"1px","border-style":"solid","border-color":"black",padding:"1em","border-radius":"25px"}},p={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.827ex"},xmlns:"http://www.w3.org/2000/svg",width:"33.539ex",height:"6.785ex",role:"img",focusable:"false",viewBox:"0 -1749.5 14824.1 2999","aria-hidden":"true"},k={style:{"border-width":"1px","border-style":"solid","border-color":"black",padding:"1em","border-radius":"25px"}},o={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.059ex"},xmlns:"http://www.w3.org/2000/svg",width:"27.746ex",height:"5.362ex",role:"img",focusable:"false",viewBox:"0 -1460 12263.9 2370","aria-hidden":"true"};function g(y,i,E,c,u,m){return t(),e("div",null,[i[8]||(i[8]=a(`

Full GeometryOps API documentation ​

Warning

This page is still very much WIP!

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

apply and associated functions ​

# 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.

Example

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

julia
import GeoInterface as GI
+import{_ as h,c as l,a5 as t,j as i,a,G as n,B as k,o as p}from"./chunks/framework.BTiM8YUm.js";const Gi=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),r={name:"api.md"},o={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},E={class:"jldocstring custom-block",open:""},c={class:"jldocstring custom-block",open:""},u={class:"jldocstring custom-block",open:""},m={class:"jldocstring custom-block",open:""},F={class:"jldocstring custom-block",open:""},C={class:"jldocstring custom-block",open:""},b={class:"jldocstring custom-block",open:""},f={class:"jldocstring custom-block",open:""},T={class:"jldocstring custom-block",open:""},v={class:"jldocstring custom-block",open:""},G={class:"jldocstring custom-block",open:""},A={class:"jldocstring custom-block",open:""},j={class:"jldocstring custom-block",open:""},B={class:"jldocstring custom-block",open:""},O={class:"jldocstring custom-block",open:""},D={class:"jldocstring custom-block",open:""},x={class:"jldocstring custom-block",open:""},Q={class:"jldocstring custom-block",open:""},w={class:"jldocstring custom-block",open:""},I={class:"jldocstring custom-block",open:""},L={class:"jldocstring custom-block",open:""},M={class:"jldocstring custom-block",open:""},P={class:"jldocstring custom-block",open:""},q={class:"jldocstring custom-block",open:""},R={class:"jldocstring custom-block",open:""},S={class:"jldocstring custom-block",open:""},V={class:"jldocstring custom-block",open:""},U={class:"jldocstring custom-block",open:""},J={class:"jldocstring custom-block",open:""},H={class:"jldocstring custom-block",open:""},N={class:"jldocstring custom-block",open:""},W={class:"jldocstring custom-block",open:""},z={class:"jldocstring custom-block",open:""},Z={class:"jldocstring custom-block",open:""},K={class:"jldocstring custom-block",open:""},X={class:"jldocstring custom-block",open:""},$={class:"jldocstring custom-block",open:""},Y={class:"jldocstring custom-block",open:""},_={class:"jldocstring custom-block",open:""},ss={class:"jldocstring custom-block",open:""},is={class:"jldocstring custom-block",open:""},as={class:"jldocstring custom-block",open:""},ts={class:"jldocstring custom-block",open:""},es={class:"jldocstring custom-block",open:""},ns={class:"jldocstring custom-block",open:""},ls={class:"jldocstring custom-block",open:""},ps={class:"jldocstring custom-block",open:""},hs={class:"jldocstring custom-block",open:""},ks={class:"jldocstring custom-block",open:""},rs={class:"jldocstring custom-block",open:""},os={class:"jldocstring custom-block",open:""},ds={class:"jldocstring custom-block",open:""},gs={class:"jldocstring custom-block",open:""},ys={class:"jldocstring custom-block",open:""},Es={class:"jldocstring custom-block",open:""},cs={class:"jldocstring custom-block",open:""},us={class:"jldocstring custom-block",open:""},ms={class:"jldocstring custom-block",open:""},Fs={class:"jldocstring custom-block",open:""},Cs={class:"jldocstring custom-block",open:""},bs={class:"jldocstring custom-block",open:""},fs={class:"jldocstring custom-block",open:""},Ts={class:"jldocstring custom-block",open:""},vs={class:"jldocstring custom-block",open:""},Gs={class:"jldocstring custom-block",open:""},As={class:"jldocstring custom-block",open:""},js={class:"jldocstring custom-block",open:""},Bs={class:"jldocstring custom-block",open:""},Os={class:"jldocstring custom-block",open:""},Ds={class:"jldocstring custom-block",open:""},xs={class:"jldocstring custom-block",open:""},Qs={class:"jldocstring custom-block",open:""},ws={class:"jldocstring custom-block",open:""},Is={class:"jldocstring custom-block",open:""},Ls={class:"jldocstring custom-block",open:""},Ms={class:"jldocstring custom-block",open:""},Ps={class:"jldocstring custom-block",open:""},qs={class:"jldocstring custom-block",open:""},Rs={class:"jldocstring custom-block",open:""},Ss={class:"jldocstring custom-block",open:""},Vs={class:"jldocstring custom-block",open:""},Us={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},Js={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.827ex"},xmlns:"http://www.w3.org/2000/svg",width:"33.539ex",height:"6.785ex",role:"img",focusable:"false",viewBox:"0 -1749.5 14824.1 2999","aria-hidden":"true"},Hs={class:"jldocstring custom-block",open:""},Ns={class:"jldocstring custom-block",open:""},Ws={class:"jldocstring custom-block",open:""},zs={class:"jldocstring custom-block",open:""},Zs={class:"jldocstring custom-block",open:""},Ks={class:"jldocstring custom-block",open:""},Xs={class:"jldocstring custom-block",open:""},$s={class:"jldocstring custom-block",open:""},Ys={class:"jldocstring custom-block",open:""},_s={class:"jldocstring custom-block",open:""},si={class:"jldocstring custom-block",open:""},ii={class:"jldocstring custom-block",open:""},ai={class:"jldocstring custom-block",open:""},ti={class:"jldocstring custom-block",open:""},ei={class:"jldocstring custom-block",open:""},ni={class:"jldocstring custom-block",open:""},li={class:"jldocstring custom-block",open:""},pi={class:"jldocstring custom-block",open:""},hi={class:"jldocstring custom-block",open:""},ki={class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},ri={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.059ex"},xmlns:"http://www.w3.org/2000/svg",width:"27.746ex",height:"5.362ex",role:"img",focusable:"false",viewBox:"0 -1460 12263.9 2370","aria-hidden":"true"},oi={class:"jldocstring custom-block",open:""},di={class:"jldocstring custom-block",open:""},gi={class:"jldocstring custom-block",open:""},yi={class:"jldocstring custom-block",open:""},Ei={class:"jldocstring custom-block",open:""},ci={class:"jldocstring custom-block",open:""},ui={class:"jldocstring custom-block",open:""};function mi(Fi,s,Ci,bi,fi,Ti){const e=k("Badge");return p(),l("div",null,[s[561]||(s[561]=t('
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
',5)),i("details",o,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.apply",href:"#GeometryOps.apply"},"#",-1)),s[1]||(s[1]=a()),s[2]||(s[2]=i("span",{class:"jlbinding"},"GeometryOps.apply",-1)),s[3]||(s[3]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[4]||(s[4]=t(`
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
 
 flipped_geom = GO.apply(GI.PointTrait, geom) do p
     (GI.y(p), GI.x(p))
-end
source

# 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)
+end

source

`,10))]),i("details",d,[i("summary",null,[s[5]||(s[5]=i("a",{id:"GeometryOps.applyreduce",href:"#GeometryOps.applyreduce"},"#",-1)),s[6]||(s[6]=a()),s[7]||(s[7]=i("span",{class:"jlbinding"},"GeometryOps.applyreduce",-1)),s[8]||(s[8]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[9]||(s[9]=t('
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)

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

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

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

source

',5))]),i("details",g,[i("summary",null,[s[10]||(s[10]=i("a",{id:"GeometryOps.reproject",href:"#GeometryOps.reproject"},"#",-1)),s[11]||(s[11]=a()),s[12]||(s[12]=i("span",{class:"jlbinding"},"GeometryOps.reproject",-1)),s[13]||(s[13]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[14]||(s[14]=t(`
julia
reproject(geometry; source_crs, target_crs, transform, always_xy, time)
 reproject(geometry, source_crs, target_crs; always_xy, time)
-reproject(geometry, transform; always_xy, time)

Reproject any GeoInterface.jl compatible geometry from source_crs to target_crs.

The returned object will be constructed from GeoInterface.WrapperGeometry geometries, wrapping views of a Vector{Proj.Point{D}}, where D is the dimension.

Tip

The Proj.jl package must be loaded for this method to work, since it is implemented in a package extension.

Arguments

  • geometry: Any GeoInterface.jl compatible geometries.

  • source_crs: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.

  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.

If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).

Keywords

  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.

  • time: the time for the coordinates. Inf by default.

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

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

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

source


# GeometryOps.transform — Function.
julia
transform(f, obj)

Apply a function f to all the points in obj.

Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.

SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.

Example

julia
julia> import GeoInterface as GI
+reproject(geometry, transform; always_xy, time)

Reproject any GeoInterface.jl compatible geometry from source_crs to target_crs.

The returned object will be constructed from GeoInterface.WrapperGeometry geometries, wrapping views of a Vector{Proj.Point{D}}, where D is the dimension.

Tip

The Proj.jl package must be loaded for this method to work, since it is implemented in a package extension.

Arguments

  • geometry: Any GeoInterface.jl compatible geometries.

  • source_crs: the source coordinate reference system, as a GeoFormatTypes.jl object or a string.

  • target_crs: the target coordinate reference system, as a GeoFormatTypes.jl object or a string.

If these a passed as keywords, transform will take priority. Without it target_crs is always needed, and source_crs is needed if it is not retrievable from the geometry with GeoInterface.crs(geometry).

Keywords

  • always_xy: force x, y coordinate order, true by default. false will expect and return points in the crs coordinate order.

  • time: the time for the coordinates. Inf by default.

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

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

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

source

`,10))]),i("details",y,[i("summary",null,[s[15]||(s[15]=i("a",{id:"GeometryOps.transform",href:"#GeometryOps.transform"},"#",-1)),s[16]||(s[16]=a()),s[17]||(s[17]=i("span",{class:"jlbinding"},"GeometryOps.transform",-1)),s[18]||(s[18]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[19]||(s[19]=t(`
julia
transform(f, obj)

Apply a function f to all the points in obj.

Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.

SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.

Example

julia
julia> import GeoInterface as GI
 
 julia> import GeometryOps as GO
 
@@ -26,41 +26,41 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)

source


General geometry methods ​

OGC methods ​

# GeometryOps.contains — Function.
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).

contains returns the exact opposite result of within.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)

source

`,9))]),s[562]||(s[562]=i("h2",{id:"General-geometry-methods",tabindex:"-1"},[a("General geometry methods "),i("a",{class:"header-anchor",href:"#General-geometry-methods","aria-label":'Permalink to "General geometry methods {#General-geometry-methods}"'},"​")],-1)),s[563]||(s[563]=i("h3",{id:"OGC-methods",tabindex:"-1"},[a("OGC methods "),i("a",{class:"header-anchor",href:"#OGC-methods","aria-label":'Permalink to "OGC methods {#OGC-methods}"'},"​")],-1)),i("details",E,[i("summary",null,[s[20]||(s[20]=i("a",{id:"GeometryOps.contains",href:"#GeometryOps.contains"},"#",-1)),s[21]||(s[21]=a()),s[22]||(s[22]=i("span",{class:"jlbinding"},"GeometryOps.contains",-1)),s[23]||(s[23]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[24]||(s[24]=t(`
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).

contains returns the exact opposite result of within.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true

source


# GeometryOps.coveredby — Function.
julia
coveredby(g1, g2)::Bool

Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).

Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",c,[i("summary",null,[s[25]||(s[25]=i("a",{id:"GeometryOps.coveredby",href:"#GeometryOps.coveredby"},"#",-1)),s[26]||(s[26]=a()),s[27]||(s[27]=i("span",{class:"jlbinding"},"GeometryOps.coveredby",-1)),s[28]||(s[28]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[29]||(s[29]=t(`
julia
coveredby(g1, g2)::Bool

Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).

Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true

source


# GeometryOps.covers — Function.
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.

covers returns the exact opposite result of coveredby.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",u,[i("summary",null,[s[30]||(s[30]=i("a",{id:"GeometryOps.covers",href:"#GeometryOps.covers"},"#",-1)),s[31]||(s[31]=a()),s[32]||(s[32]=i("span",{class:"jlbinding"},"GeometryOps.covers",-1)),s[33]||(s[33]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[34]||(s[34]=t(`
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.

covers returns the exact opposite result of coveredby.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true

source


# GeometryOps.crosses — Function.
julia
 crosses(geom1, geom2)::Bool

Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.

TODO: broken

Examples

julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example

source


# GeometryOps.disjoint — Function.
julia
disjoint(geom1, geom2)::Bool

Return true if the first geometry is disjoint from the second geometry.

Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",m,[i("summary",null,[s[35]||(s[35]=i("a",{id:"GeometryOps.crosses",href:"#GeometryOps.crosses"},"#",-1)),s[36]||(s[36]=a()),s[37]||(s[37]=i("span",{class:"jlbinding"},"GeometryOps.crosses",-1)),s[38]||(s[38]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[39]||(s[39]=t(`
julia
 crosses(geom1, geom2)::Bool

Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.

TODO: broken

Examples

julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example

source

`,6))]),i("details",F,[i("summary",null,[s[40]||(s[40]=i("a",{id:"GeometryOps.disjoint",href:"#GeometryOps.disjoint"},"#",-1)),s[41]||(s[41]=a()),s[42]||(s[42]=i("span",{class:"jlbinding"},"GeometryOps.disjoint",-1)),s[43]||(s[43]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[44]||(s[44]=t(`
julia
disjoint(geom1, geom2)::Bool

Return true if the first geometry is disjoint from the second geometry.

Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true

source


# GeometryOps.intersects — Function.
julia
intersects(geom1, geom2)::Bool

Return true if the interiors or boundaries of the two geometries interact.

intersects returns the exact opposite result of disjoint.

Example

julia
import GeoInterface as GI, GeometryOps as GO
+true

source

`,6))]),i("details",C,[i("summary",null,[s[45]||(s[45]=i("a",{id:"GeometryOps.intersects",href:"#GeometryOps.intersects"},"#",-1)),s[46]||(s[46]=a()),s[47]||(s[47]=i("span",{class:"jlbinding"},"GeometryOps.intersects",-1)),s[48]||(s[48]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[49]||(s[49]=t(`
julia
intersects(geom1, geom2)::Bool

Return true if the interiors or boundaries of the two geometries interact.

intersects returns the exact opposite result of disjoint.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
 GO.intersects(line1, line2)
 
 # output
-true

source


# GeometryOps.overlaps — Function.
julia
overlaps(geom1, geom2)::Bool

Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",b,[i("summary",null,[s[50]||(s[50]=i("a",{id:"GeometryOps.overlaps",href:"#GeometryOps.overlaps"},"#",-1)),s[51]||(s[51]=a()),s[52]||(s[52]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[53]||(s[53]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[54]||(s[54]=t(`
julia
overlaps(geom1, geom2)::Bool

Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
@@ -84,21 +84,21 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.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 geometry's interior or boundary.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool

Return true if at least one pair of polygons from multipolygons overlap. Else false.

source

`,29))]),i("details",f,[i("summary",null,[s[55]||(s[55]=i("a",{id:"GeometryOps.touches",href:"#GeometryOps.touches"},"#",-1)),s[56]||(s[56]=a()),s[57]||(s[57]=i("span",{class:"jlbinding"},"GeometryOps.touches",-1)),s[58]||(s[58]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[59]||(s[59]=t(`
julia
touches(geom1, geom2)::Bool

Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true

source


# GeometryOps.within — Function.
julia
within(geom1, geom2)::Bool

Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).

Furthermore, within returns the exact opposite result of contains.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,5))]),i("details",T,[i("summary",null,[s[60]||(s[60]=i("a",{id:"GeometryOps.within",href:"#GeometryOps.within"},"#",-1)),s[61]||(s[61]=a()),s[62]||(s[62]=i("span",{class:"jlbinding"},"GeometryOps.within",-1)),s[63]||(s[63]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[64]||(s[64]=t(`
julia
within(geom1, geom2)::Bool

Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).

Furthermore, within returns the exact opposite result of contains.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true

source


Other general methods ​

# GeometryOps.equals — Function.
julia
equals(geom1, geom2)::Bool

Compare two Geometries return true if they are the same geometry.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),s[564]||(s[564]=i("h3",{id:"Other-general-methods",tabindex:"-1"},[a("Other general methods "),i("a",{class:"header-anchor",href:"#Other-general-methods","aria-label":'Permalink to "Other general methods {#Other-general-methods}"'},"​")],-1)),i("details",v,[i("summary",null,[s[65]||(s[65]=i("a",{id:"GeometryOps.equals",href:"#GeometryOps.equals"},"#",-1)),s[66]||(s[66]=a()),s[67]||(s[67]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[68]||(s[68]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[69]||(s[69]=t(`
julia
equals(geom1, geom2)::Bool

Compare two Geometries return true if they are the same geometry.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
@@ -116,70 +116,70 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 )::Bool

A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source

julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool

Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two polygons are equal if they share the same exterior edge and holes.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two multipolygons are equal if they share the same set of polygons.

source


# GeometryOps.centroid — Function.
julia
centroid(geom, [T=Float64])::Tuple{T, T}

Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.

source


# GeometryOps.distance — Function.
julia
distance(point, geom, ::Type{T} = Float64)::T

Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.

The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.signed_distance — Function.
julia
signed_distance(point, geom, ::Type{T} = Float64)::T

Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.area — Function.
julia
area(geom, [T = Float64])::T

Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:

- The area of a point/multipoint is always zero.
+)::Bool

Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two polygons are equal if they share the same exterior edge and holes.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two multipolygons are equal if they share the same set of polygons.

source

`,47))]),i("details",G,[i("summary",null,[s[70]||(s[70]=i("a",{id:"GeometryOps.centroid",href:"#GeometryOps.centroid"},"#",-1)),s[71]||(s[71]=a()),s[72]||(s[72]=i("span",{class:"jlbinding"},"GeometryOps.centroid",-1)),s[73]||(s[73]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[74]||(s[74]=t('
julia
centroid(geom, [T=Float64])::Tuple{T, T}

Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.

source

',3))]),i("details",A,[i("summary",null,[s[75]||(s[75]=i("a",{id:"GeometryOps.distance",href:"#GeometryOps.distance"},"#",-1)),s[76]||(s[76]=a()),s[77]||(s[77]=i("span",{class:"jlbinding"},"GeometryOps.distance",-1)),s[78]||(s[78]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[79]||(s[79]=t('
julia
distance(point, geom, ::Type{T} = Float64)::T

Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.

The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',5))]),i("details",j,[i("summary",null,[s[80]||(s[80]=i("a",{id:"GeometryOps.signed_distance",href:"#GeometryOps.signed_distance"},"#",-1)),s[81]||(s[81]=a()),s[82]||(s[82]=i("span",{class:"jlbinding"},"GeometryOps.signed_distance",-1)),s[83]||(s[83]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[84]||(s[84]=t('
julia
signed_distance(point, geom, ::Type{T} = Float64)::T

Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',4))]),i("details",B,[i("summary",null,[s[85]||(s[85]=i("a",{id:"GeometryOps.area",href:"#GeometryOps.area"},"#",-1)),s[86]||(s[86]=a()),s[87]||(s[87]=i("span",{class:"jlbinding"},"GeometryOps.area",-1)),s[88]||(s[88]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[89]||(s[89]=t(`
julia
area(geom, [T = Float64])::T

Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:

- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.signed_area — Function.
julia
signed_area(geom, [T = Float64])::T

Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:

- The signed area of a point is always zero.
+    is the sum of the areas of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

`,5))]),i("details",O,[i("summary",null,[s[90]||(s[90]=i("a",{id:"GeometryOps.signed_area",href:"#GeometryOps.signed_area"},"#",-1)),s[91]||(s[91]=a()),s[92]||(s[92]=i("span",{class:"jlbinding"},"GeometryOps.signed_area",-1)),s[93]||(s[93]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[94]||(s[94]=t(`
julia
signed_area(geom, [T = Float64])::T

Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:

- The signed area of a point is always zero.
 - The signed area of a curve is always zero.
 - The signed area of a polygon is computed with the shoelace formula and is
 positive if the polygon coordinates wind clockwise and negative if
 counterclockwise.
 - You cannot compute the signed area of a multipolygon as it doesn't have a
-meaning as each sub-polygon could have a different winding order.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.angles — Function.
julia
angles(geom, ::Type{T} = Float64)

Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:

- The angles of a point is an empty vector.
+meaning as each sub-polygon could have a different winding order.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

`,5))]),i("details",D,[i("summary",null,[s[95]||(s[95]=i("a",{id:"GeometryOps.angles",href:"#GeometryOps.angles"},"#",-1)),s[96]||(s[96]=a()),s[97]||(s[97]=i("span",{class:"jlbinding"},"GeometryOps.angles",-1)),s[98]||(s[98]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[99]||(s[99]=t(`
julia
angles(geom, ::Type{T} = Float64)

Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:

- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.

Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.

source


# GeometryOps.embed_extent — Function.
julia
embed_extent(obj)

Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.

This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.

Keywords

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

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

source


Barycentric coordinates ​

# GeometryOps.barycentric_coordinates — Function.
julia
barycentric_coordinates(method = MeanValue(), polygon, point)

Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.

source


# GeometryOps.barycentric_coordinates! — Function.
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)

Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.

λs must be of the length of the polygon plus its holes.

Tip

Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.

source


# GeometryOps.barycentric_interpolate — Function.
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)

Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.

Returns an object of type V.

Warning

Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).

source


Other methods ​

# GeometryOps.AbstractBarycentricCoordinateMethod — Type.
julia
abstract type AbstractBarycentricCoordinateMethod

Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.

API

The following methods must be implemented for all subtypes:

  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})

  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V

  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V

The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.

source


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

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

It can be called on any geometry correction as usual.

See also GeometryCorrection.

source


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

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

source


# GeometryOps.DouglasPeucker — Type.
julia
DouglasPeucker <: SimplifyAlg
+    sub-geometries as defined above.

Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.

source

`,5))]),i("details",x,[i("summary",null,[s[100]||(s[100]=i("a",{id:"GeometryOps.embed_extent",href:"#GeometryOps.embed_extent"},"#",-1)),s[101]||(s[101]=a()),s[102]||(s[102]=i("span",{class:"jlbinding"},"GeometryOps.embed_extent",-1)),s[103]||(s[103]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[104]||(s[104]=t('
julia
embed_extent(obj)

Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.

This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.

Keywords

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

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

source

',6))]),s[565]||(s[565]=i("h2",{id:"Barycentric-coordinates",tabindex:"-1"},[a("Barycentric coordinates "),i("a",{class:"header-anchor",href:"#Barycentric-coordinates","aria-label":'Permalink to "Barycentric coordinates {#Barycentric-coordinates}"'},"​")],-1)),i("details",Q,[i("summary",null,[s[105]||(s[105]=i("a",{id:"GeometryOps.barycentric_coordinates",href:"#GeometryOps.barycentric_coordinates"},"#",-1)),s[106]||(s[106]=a()),s[107]||(s[107]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates",-1)),s[108]||(s[108]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[109]||(s[109]=t('
julia
barycentric_coordinates(method = MeanValue(), polygon, point)

Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.

source

',3))]),i("details",w,[i("summary",null,[s[110]||(s[110]=i("a",{id:"GeometryOps.barycentric_coordinates!",href:"#GeometryOps.barycentric_coordinates!"},"#",-1)),s[111]||(s[111]=a()),s[112]||(s[112]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!",-1)),s[113]||(s[113]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[114]||(s[114]=t('
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)

Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.

λs must be of the length of the polygon plus its holes.

Tip

Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.

source

',5))]),i("details",I,[i("summary",null,[s[115]||(s[115]=i("a",{id:"GeometryOps.barycentric_interpolate",href:"#GeometryOps.barycentric_interpolate"},"#",-1)),s[116]||(s[116]=a()),s[117]||(s[117]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate",-1)),s[118]||(s[118]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[119]||(s[119]=t('
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)

Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.

Returns an object of type V.

Warning

Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).

source

',5))]),s[566]||(s[566]=i("h2",{id:"Other-methods",tabindex:"-1"},[a("Other methods "),i("a",{class:"header-anchor",href:"#Other-methods","aria-label":'Permalink to "Other methods {#Other-methods}"'},"​")],-1)),i("details",L,[i("summary",null,[s[120]||(s[120]=i("a",{id:"GeometryOps.AbstractBarycentricCoordinateMethod",href:"#GeometryOps.AbstractBarycentricCoordinateMethod"},"#",-1)),s[121]||(s[121]=a()),s[122]||(s[122]=i("span",{class:"jlbinding"},"GeometryOps.AbstractBarycentricCoordinateMethod",-1)),s[123]||(s[123]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[124]||(s[124]=t('
julia
abstract type AbstractBarycentricCoordinateMethod

Abstract supertype for barycentric coordinate methods. The subtypes may serve as dispatch types, or may cache some information about the target polygon.

API

The following methods must be implemented for all subtypes:

  • barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, point::Point{2, T2})

  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, values::Vector{V}, point::Point{2, T2})::V

  • barycentric_interpolate(method::AbstractBarycentricCoordinateMethod, exterior::Vector{<: Point{2, T1}}, interiors::Vector{<: Vector{<: Point{2, T1}}} values::Vector{V}, point::Point{2, T2})::V

The rest of the methods will be implemented in terms of these, and have efficient dispatches for broadcasting.

source

',7))]),i("details",M,[i("summary",null,[s[125]||(s[125]=i("a",{id:"GeometryOps.ClosedRing",href:"#GeometryOps.ClosedRing"},"#",-1)),s[126]||(s[126]=a()),s[127]||(s[127]=i("span",{class:"jlbinding"},"GeometryOps.ClosedRing",-1)),s[128]||(s[128]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[129]||(s[129]=t('
julia
ClosedRing() <: GeometryCorrection

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

It can be called on any geometry correction as usual.

See also GeometryCorrection.

source

',5))]),i("details",P,[i("summary",null,[s[130]||(s[130]=i("a",{id:"GeometryOps.DiffIntersectingPolygons",href:"#GeometryOps.DiffIntersectingPolygons"},"#",-1)),s[131]||(s[131]=a()),s[132]||(s[132]=i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons",-1)),s[133]||(s[133]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[134]||(s[134]=t('
julia
DiffIntersectingPolygons() <: GeometryCorrection

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

source

',3))]),i("details",q,[i("summary",null,[s[135]||(s[135]=i("a",{id:"GeometryOps.DouglasPeucker",href:"#GeometryOps.DouglasPeucker"},"#",-1)),s[136]||(s[136]=a()),s[137]||(s[137]=i("span",{class:"jlbinding"},"GeometryOps.DouglasPeucker",-1)),s[138]||(s[138]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[139]||(s[139]=t(`
julia
DouglasPeucker <: SimplifyAlg
 
-DouglasPeucker(; number, ratio, tol)

Simplifies geometries by removing points below tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum distance a point will be from the line joining its neighboring points.

Note: user input tol is squared to avoid unnecessary computation in algorithm.

source


# GeometryOps.GEOS — Type.
julia
GEOS(; params...)

A struct which instructs the method it's passed to as an algorithm to use the appropriate GEOS function via LibGEOS.jl for the operation.

Dispatch is generally carried out using the names of the keyword arguments. For example, segmentize will only accept a GEOS struct with only a max_distance keyword, and no other.

It's generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!

source


# GeometryOps.GeodesicSegments — Type.
julia
GeodesicSegments(; max_distance::Real, equatorial_radius::Real=6378137, flattening::Real=1/298.257223563)

A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.

Warning

Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.

Arguments

  • max_distance::Real: The maximum distance, in meters, between vertices in the geometry.

  • equatorial_radius::Real=6378137: The equatorial radius of the Earth, in meters. Passed to Proj.geod_geodesic.

  • flattening::Real=1/298.257223563: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to Proj.geod_geodesic.

One can also omit the equatorial_radius and flattening keyword arguments, and pass a geodesic object directly to the eponymous keyword.

This method uses the Proj/GeographicLib API for geodesic calculations.

source


# GeometryOps.GeometryCorrection — Type.
julia
abstract type GeometryCorrection

This abstract type represents a geometry correction.

Interface

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

source


# GeometryOps.LineOrientation — Type.
julia
Enum LineOrientation

Enum for the orientation of a line with respect to a curve. A line can be line_cross (crossing over the curve), line_hinge (crossing the endpoint of the curve), line_over (collinear with the curve), or line_out (not interacting with the curve).

source


# GeometryOps.LinearSegments — Type.
julia
LinearSegments(; max_distance::Real)

A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.

Here, max_distance is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the max_distance will be in degrees of arc. If the polygon is provided in meters, then the max_distance will be in meters.

source


# GeometryOps.MeanValue — Type.
julia
MeanValue() <: AbstractBarycentricCoordinateMethod

This method calculates barycentric coordinates using the mean value method.

References

source


# GeometryOps.MonotoneChainMethod — Type.
julia
MonotoneChainMethod()

This is an algorithm for the convex_hull function.

Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.

See also convex_hull

source


# GeometryOps.PointOrientation — Type.
julia
Enum PointOrientation

Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.

source


# GeometryOps.RadialDistance — Type.
julia
RadialDistance <: SimplifyAlg

Simplifies geometries by removing points less than tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum distance between points.

Note: user input tol is squared to avoid unnecessary computation in algorithm.

source


# GeometryOps.SimplifyAlg — Type.
julia
abstract type SimplifyAlg

Abstract type for simplification algorithms.

API

For now, the algorithm must hold the number, ratio and tol properties.

Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.

source


# GeometryOps.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

`,6))]),i("details",R,[i("summary",null,[s[140]||(s[140]=i("a",{id:"GeometryOps.GEOS",href:"#GeometryOps.GEOS"},"#",-1)),s[141]||(s[141]=a()),s[142]||(s[142]=i("span",{class:"jlbinding"},"GeometryOps.GEOS",-1)),s[143]||(s[143]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[144]||(s[144]=t('
julia
GEOS(; params...)

A struct which instructs the method it's passed to as an algorithm to use the appropriate GEOS function via LibGEOS.jl for the operation.

Dispatch is generally carried out using the names of the keyword arguments. For example, segmentize will only accept a GEOS struct with only a max_distance keyword, and no other.

It's generally a lot slower than the native Julia implementations, since it must convert to the LibGEOS implementation and back - so be warned!

source

',5))]),i("details",S,[i("summary",null,[s[145]||(s[145]=i("a",{id:"GeometryOps.GeodesicSegments",href:"#GeometryOps.GeodesicSegments"},"#",-1)),s[146]||(s[146]=a()),s[147]||(s[147]=i("span",{class:"jlbinding"},"GeometryOps.GeodesicSegments",-1)),s[148]||(s[148]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[149]||(s[149]=t('
julia
GeodesicSegments(; max_distance::Real, equatorial_radius::Real=6378137, flattening::Real=1/298.257223563)

A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance. This method calculates the distance between points on the geodesic, and assumes input in lat/long coordinates.

Warning

Any input geometries must be in lon/lat coordinates! If not, the method may fail or error.

Arguments

  • max_distance::Real: The maximum distance, in meters, between vertices in the geometry.

  • equatorial_radius::Real=6378137: The equatorial radius of the Earth, in meters. Passed to Proj.geod_geodesic.

  • flattening::Real=1/298.257223563: The flattening of the Earth, which is the ratio of the difference between the equatorial and polar radii to the equatorial radius. Passed to Proj.geod_geodesic.

One can also omit the equatorial_radius and flattening keyword arguments, and pass a geodesic object directly to the eponymous keyword.

This method uses the Proj/GeographicLib API for geodesic calculations.

source

',8))]),i("details",V,[i("summary",null,[s[150]||(s[150]=i("a",{id:"GeometryOps.GeometryCorrection",href:"#GeometryOps.GeometryCorrection"},"#",-1)),s[151]||(s[151]=a()),s[152]||(s[152]=i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection",-1)),s[153]||(s[153]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[154]||(s[154]=t('
julia
abstract type GeometryCorrection

This abstract type represents a geometry correction.

Interface

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

source

',5))]),i("details",U,[i("summary",null,[s[155]||(s[155]=i("a",{id:"GeometryOps.LineOrientation",href:"#GeometryOps.LineOrientation"},"#",-1)),s[156]||(s[156]=a()),s[157]||(s[157]=i("span",{class:"jlbinding"},"GeometryOps.LineOrientation",-1)),s[158]||(s[158]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[159]||(s[159]=t('
julia
Enum LineOrientation

Enum for the orientation of a line with respect to a curve. A line can be line_cross (crossing over the curve), line_hinge (crossing the endpoint of the curve), line_over (collinear with the curve), or line_out (not interacting with the curve).

source

',3))]),i("details",J,[i("summary",null,[s[160]||(s[160]=i("a",{id:"GeometryOps.LinearSegments",href:"#GeometryOps.LinearSegments"},"#",-1)),s[161]||(s[161]=a()),s[162]||(s[162]=i("span",{class:"jlbinding"},"GeometryOps.LinearSegments",-1)),s[163]||(s[163]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[164]||(s[164]=t('
julia
LinearSegments(; max_distance::Real)

A method for segmentizing geometries by adding extra vertices to the geometry so that no segment is longer than a given distance.

Here, max_distance is a purely nondimensional quantity and will apply in the input space. This is to say, that if the polygon is provided in lat/lon coordinates then the max_distance will be in degrees of arc. If the polygon is provided in meters, then the max_distance will be in meters.

source

',4))]),i("details",H,[i("summary",null,[s[165]||(s[165]=i("a",{id:"GeometryOps.MeanValue",href:"#GeometryOps.MeanValue"},"#",-1)),s[166]||(s[166]=a()),s[167]||(s[167]=i("span",{class:"jlbinding"},"GeometryOps.MeanValue",-1)),s[168]||(s[168]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[169]||(s[169]=t('
julia
MeanValue() <: AbstractBarycentricCoordinateMethod

This method calculates barycentric coordinates using the mean value method.

References

source

',4))]),i("details",N,[i("summary",null,[s[170]||(s[170]=i("a",{id:"GeometryOps.MonotoneChainMethod",href:"#GeometryOps.MonotoneChainMethod"},"#",-1)),s[171]||(s[171]=a()),s[172]||(s[172]=i("span",{class:"jlbinding"},"GeometryOps.MonotoneChainMethod",-1)),s[173]||(s[173]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[174]||(s[174]=t('
julia
MonotoneChainMethod()

This is an algorithm for the convex_hull function.

Uses DelaunayTriangulation.jl to compute the convex hull. This is a pure Julia algorithm which provides an optimal Delaunay triangulation.

See also convex_hull

source

',5))]),i("details",W,[i("summary",null,[s[175]||(s[175]=i("a",{id:"GeometryOps.PointOrientation",href:"#GeometryOps.PointOrientation"},"#",-1)),s[176]||(s[176]=a()),s[177]||(s[177]=i("span",{class:"jlbinding"},"GeometryOps.PointOrientation",-1)),s[178]||(s[178]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[179]||(s[179]=t('
julia
Enum PointOrientation

Enum for the orientation of a point with respect to a curve. A point can be point_in the curve, point_on the curve, or point_out of the curve.

source

',3))]),i("details",z,[i("summary",null,[s[180]||(s[180]=i("a",{id:"GeometryOps.RadialDistance",href:"#GeometryOps.RadialDistance"},"#",-1)),s[181]||(s[181]=a()),s[182]||(s[182]=i("span",{class:"jlbinding"},"GeometryOps.RadialDistance",-1)),s[183]||(s[183]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[184]||(s[184]=t('
julia
RadialDistance <: SimplifyAlg

Simplifies geometries by removing points less than tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum distance between points.

Note: user input tol is squared to avoid unnecessary computation in algorithm.

source

',6))]),i("details",Z,[i("summary",null,[s[185]||(s[185]=i("a",{id:"GeometryOps.SimplifyAlg",href:"#GeometryOps.SimplifyAlg"},"#",-1)),s[186]||(s[186]=a()),s[187]||(s[187]=i("span",{class:"jlbinding"},"GeometryOps.SimplifyAlg",-1)),s[188]||(s[188]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[189]||(s[189]=t('
julia
abstract type SimplifyAlg

Abstract type for simplification algorithms.

API

For now, the algorithm must hold the number, ratio and tol properties.

Simplification algorithm types can hook into the interface by implementing the _simplify(trait, alg, geom) methods for whichever traits are necessary.

source

',6))]),i("details",K,[i("summary",null,[s[190]||(s[190]=i("a",{id:"GeometryOps.TraitTarget",href:"#GeometryOps.TraitTarget"},"#",-1)),s[191]||(s[191]=a()),s[192]||(s[192]=i("span",{class:"jlbinding"},"GeometryOps.TraitTarget",-1)),s[193]||(s[193]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[194]||(s[194]=t(`
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.
 TraitTarget(GI.PointTrait)
 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
+# etc.

source

`,6))]),i("details",X,[i("summary",null,[s[195]||(s[195]=i("a",{id:"GeometryOps.UnionIntersectingPolygons",href:"#GeometryOps.UnionIntersectingPolygons"},"#",-1)),s[196]||(s[196]=a()),s[197]||(s[197]=i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons",-1)),s[198]||(s[198]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[199]||(s[199]=t('
julia
UnionIntersectingPolygons() <: GeometryCorrection

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

See also GeometryCorrection.

source

',4))]),i("details",$,[i("summary",null,[s[200]||(s[200]=i("a",{id:"GeometryOps.VisvalingamWhyatt",href:"#GeometryOps.VisvalingamWhyatt"},"#",-1)),s[201]||(s[201]=a()),s[202]||(s[202]=i("span",{class:"jlbinding"},"GeometryOps.VisvalingamWhyatt",-1)),s[203]||(s[203]=a()),n(e,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[204]||(s[204]=t(`
julia
VisvalingamWhyatt <: SimplifyAlg
 
-VisvalingamWhyatt(; kw...)

Simplifies geometries by removing points below tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum area of a triangle made with a point and its neighboring points.

Note: user input tol is doubled to avoid unnecessary computation in algorithm.

source


# GeometryOps._det — Method.
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}

Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.

Specifically, this is:

julia
s1[1] * s2[2] - s1[2] * s2[1]

source


# GeometryOps._equals_curves — Method.
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool

Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)

source


# GeometryOps.angles — Method.
julia
angles(geom, ::Type{T} = Float64)

Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:

- The angles of a point is an empty vector.
+VisvalingamWhyatt(; kw...)

Simplifies geometries by removing points below tol distance from the line between its neighboring points.

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum area of a triangle made with a point and its neighboring points.

Note: user input tol is doubled to avoid unnecessary computation in algorithm.

source

`,6))]),i("details",Y,[i("summary",null,[s[205]||(s[205]=i("a",{id:"GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1<:Real, T2<:Real}",href:"#GeometryOps._det-Union{Tuple{T2}, Tuple{T1}, Tuple{Union{Tuple{T1, T1}, StaticArraysCore.StaticArray{Tuple{2}, T1, 1}}, Union{Tuple{T2, T2}, StaticArraysCore.StaticArray{Tuple{2}, T2, 1}}}} where {T1<:Real, T2<:Real}"},"#",-1)),s[206]||(s[206]=a()),s[207]||(s[207]=i("span",{class:"jlbinding"},"GeometryOps._det",-1)),s[208]||(s[208]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[209]||(s[209]=t('
julia
_det(s1::Point2{T1}, s2::Point2{T2}) where {T1 <: Real, T2 <: Real}

Returns the determinant of the matrix formed by hcat'ing two points s1 and s2.

Specifically, this is:

julia
s1[1] * s2[2] - s1[2] * s2[1]

source

',5))]),i("details",_,[i("summary",null,[s[210]||(s[210]=i("a",{id:"GeometryOps._equals_curves-NTuple{4, Any}",href:"#GeometryOps._equals_curves-NTuple{4, Any}"},"#",-1)),s[211]||(s[211]=a()),s[212]||(s[212]=i("span",{class:"jlbinding"},"GeometryOps._equals_curves",-1)),s[213]||(s[213]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[214]||(s[214]=t('
julia
_equals_curves(c1, c2, closed_type1, closed_type2)::Bool

Two curves are equal if they share the same set of point, representing the same geometry. Both curves must must be composed of the same set of points, however, they do not have to wind in the same direction, or start on the same point to be equivalent. Inputs: c1 first geometry c2 second geometry closed_type1::Bool true if c1 is closed by definition (polygon, linear ring) closed_type2::Bool true if c2 is closed by definition (polygon, linear ring)

source

',3))]),i("details",ss,[i("summary",null,[s[215]||(s[215]=i("a",{id:"GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.angles-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[216]||(s[216]=a()),s[217]||(s[217]=i("span",{class:"jlbinding"},"GeometryOps.angles",-1)),s[218]||(s[218]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[219]||(s[219]=t(`
julia
angles(geom, ::Type{T} = Float64)

Returns the angles of a geometry or collection of geometries. This is computed differently for different geometries:

- The angles of a point is an empty vector.
 - The angles of a single line segment is an empty vector.
 - The angles of a linestring or linearring is a vector of angles formed by the curve.
 - The angles of a polygon is a vector of vectors of angles formed by each ring.
 - The angles of a multi-geometry collection is a vector of the angles of each of the
-    sub-geometries as defined above.

Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.

source


# GeometryOps.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
+    sub-geometries as defined above.

Result will be a Vector, or nested set of vectors, of type T where an optional argument with a default value of Float64.

source

`,5))]),i("details",is,[i("summary",null,[s[220]||(s[220]=i("a",{id:"GeometryOps.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F",href:"#GeometryOps.apply-Union{Tuple{F}, Tuple{F, Any, Any}} where F"},"#",-1)),s[221]||(s[221]=a()),s[222]||(s[222]=i("span",{class:"jlbinding"},"GeometryOps.apply",-1)),s[223]||(s[223]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[224]||(s[224]=t(`
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)

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

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

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

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

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

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

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

Example

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

julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
 
 flipped_geom = GO.apply(GI.PointTrait, geom) do p
     (GI.y(p), GI.x(p))
-end

source


# GeometryOps.applyreduce — Method.
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.area — Method.
julia
area(geom, [T = Float64])::T

Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:

- The area of a point/multipoint is always zero.
+end

source

`,10))]),i("details",as,[i("summary",null,[s[225]||(s[225]=i("a",{id:"GeometryOps.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}",href:"#GeometryOps.applyreduce-Union{Tuple{O}, Tuple{F}, Tuple{F, O, Any, Any}} where {F, O}"},"#",-1)),s[226]||(s[226]=a()),s[227]||(s[227]=i("span",{class:"jlbinding"},"GeometryOps.applyreduce",-1)),s[228]||(s[228]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[229]||(s[229]=t('
julia
applyreduce(f, op, target::Union{TraitTarget, GI.AbstractTrait}, obj; threaded)

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

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

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

source

',5))]),i("details",ts,[i("summary",null,[s[230]||(s[230]=i("a",{id:"GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[231]||(s[231]=a()),s[232]||(s[232]=i("span",{class:"jlbinding"},"GeometryOps.area",-1)),s[233]||(s[233]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[234]||(s[234]=t(`
julia
area(geom, [T = Float64])::T

Returns the area of a geometry or collection of geometries. This is computed slightly differently for different geometries:

- The area of a point/multipoint is always zero.
 - The area of a curve/multicurve is always zero.
 - The area of a polygon is the absolute value of the signed area.
 - The area multi-polygon is the sum of the areas of all of the sub-polygons.
 - The area of a geometry collection, feature collection of array/iterable 
-    is the sum of the areas of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.barycentric_coordinates! — Method.
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)

Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.

λs must be of the length of the polygon plus its holes.

Tip

Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.

source


# GeometryOps.barycentric_coordinates — Method.
julia
barycentric_coordinates(method = MeanValue(), polygon, point)

Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.

source


# GeometryOps.barycentric_interpolate — Method.
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)

Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.

Returns an object of type V.

Warning

Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).

source


# GeometryOps.centroid — Method.
julia
centroid(geom, [T=Float64])::Tuple{T, T}

Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.

source


# GeometryOps.centroid_and_area — Method.
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)

Returns the centroid and area of a given geometry.

source


# GeometryOps.centroid_and_length — Method.
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)

Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.

source


# GeometryOps.contains — Method.
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).

contains returns the exact opposite result of within.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+    is the sum of the areas of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

`,5))]),i("details",es,[i("summary",null,[s[235]||(s[235]=i("a",{id:"GeometryOps.barycentric_coordinates!-Tuple{Vector{<:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}",href:"#GeometryOps.barycentric_coordinates!-Tuple{Vector{<:Real}, GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"},"#",-1)),s[236]||(s[236]=a()),s[237]||(s[237]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates!",-1)),s[238]||(s[238]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[239]||(s[239]=t('
julia
barycentric_coordinates!(λs::Vector{<: Real}, method::AbstractBarycentricCoordinateMethod, polygon, point)

Loads the barycentric coordinates of point in polygon into λs using the barycentric coordinate method method.

λs must be of the length of the polygon plus its holes.

Tip

Use this method to avoid excess allocations when you need to calculate barycentric coordinates for many points.

source

',5))]),i("details",ns,[i("summary",null,[s[240]||(s[240]=i("a",{id:"GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}",href:"#GeometryOps.barycentric_coordinates-Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, Any}"},"#",-1)),s[241]||(s[241]=a()),s[242]||(s[242]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_coordinates",-1)),s[243]||(s[243]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[244]||(s[244]=t('
julia
barycentric_coordinates(method = MeanValue(), polygon, point)

Returns the barycentric coordinates of point in polygon using the barycentric coordinate method method.

source

',3))]),i("details",ls,[i("summary",null,[s[245]||(s[245]=i("a",{id:"GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V",href:"#GeometryOps.barycentric_interpolate-Union{Tuple{V}, Tuple{GeometryOps.AbstractBarycentricCoordinateMethod, Any, AbstractVector{V}, Any}} where V"},"#",-1)),s[246]||(s[246]=a()),s[247]||(s[247]=i("span",{class:"jlbinding"},"GeometryOps.barycentric_interpolate",-1)),s[248]||(s[248]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[249]||(s[249]=t('
julia
barycentric_interpolate(method = MeanValue(), polygon, values::AbstractVector{V}, point)

Returns the interpolated value at point within polygon using the barycentric coordinate method method. values are the per-point values for the polygon which are to be interpolated.

Returns an object of type V.

Warning

Barycentric interpolation is currently defined only for 2-dimensional polygons. If you pass a 3-D polygon in, the Z coordinate will be used as per-vertex value to be interpolated (the M coordinate in GIS parlance).

source

',5))]),i("details",ps,[i("summary",null,[s[250]||(s[250]=i("a",{id:"GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},"#",-1)),s[251]||(s[251]=a()),s[252]||(s[252]=i("span",{class:"jlbinding"},"GeometryOps.centroid",-1)),s[253]||(s[253]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[254]||(s[254]=t('
julia
centroid(geom, [T=Float64])::Tuple{T, T}

Returns the centroid of a given line segment, linear ring, polygon, or mutlipolygon.

source

',3))]),i("details",hs,[i("summary",null,[s[255]||(s[255]=i("a",{id:"GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid_and_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},"#",-1)),s[256]||(s[256]=a()),s[257]||(s[257]=i("span",{class:"jlbinding"},"GeometryOps.centroid_and_area",-1)),s[258]||(s[258]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[259]||(s[259]=t('
julia
centroid_and_area(geom, [T=Float64])::(::Tuple{T, T}, ::Real)

Returns the centroid and area of a given geometry.

source

',3))]),i("details",ks,[i("summary",null,[s[260]||(s[260]=i("a",{id:"GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.centroid_and_length-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},"#",-1)),s[261]||(s[261]=a()),s[262]||(s[262]=i("span",{class:"jlbinding"},"GeometryOps.centroid_and_length",-1)),s[263]||(s[263]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[264]||(s[264]=t('
julia
centroid_and_length(geom, [T=Float64])::(::Tuple{T, T}, ::Real)

Returns the centroid and length of a given line/ring. Note this is only valid for line strings and linear rings.

source

',3))]),i("details",rs,[i("summary",null,[s[265]||(s[265]=i("a",{id:"GeometryOps.contains-Tuple{Any, Any}",href:"#GeometryOps.contains-Tuple{Any, Any}"},"#",-1)),s[266]||(s[266]=a()),s[267]||(s[267]=i("span",{class:"jlbinding"},"GeometryOps.contains",-1)),s[268]||(s[268]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[269]||(s[269]=t(`
julia
contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the second geometry is completely contained by the first geometry. The interiors of both geometries must intersect and the interior and boundary of the secondary (g2) must not intersect the exterior of the first (g1).

contains returns the exact opposite result of within.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = GI.Point((1, 2))
 
 GO.contains(line, point)
 # output
-true

source


# GeometryOps.convex_hull — Function.
julia
convex_hull([method], geometries)

Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.

Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.

Warning

This interface only computes the 2-dimensional convex hull!

For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).

source


# GeometryOps.coverage — Method.
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T

Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:

  • The signed area of a point is always zero.

  • The signed area of a curve is always zero.

  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.

  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.coveredby — Method.
julia
coveredby(g1, g2)::Bool

Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).

Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",os,[i("summary",null,[s[270]||(s[270]=i("a",{id:"GeometryOps.convex_hull",href:"#GeometryOps.convex_hull"},"#",-1)),s[271]||(s[271]=a()),s[272]||(s[272]=i("span",{class:"jlbinding"},"GeometryOps.convex_hull",-1)),s[273]||(s[273]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[274]||(s[274]=t('
julia
convex_hull([method], geometries)

Compute the convex hull of the points in geometries. Returns a GI.Polygon representing the convex hull.

Note that the polygon returned is wound counterclockwise as in the Simple Features standard by default. If you choose GEOS, the winding order will be inverted.

Warning

This interface only computes the 2-dimensional convex hull!

For higher dimensional hulls, use the relevant package (Qhull.jl, Quickhull.jl, or similar).

source

',5))]),i("details",ds,[i("summary",null,[s[275]||(s[275]=i("a",{id:"GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.coverage-Union{Tuple{T}, NTuple{5, Any}, Tuple{Any, Any, Any, Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[276]||(s[276]=a()),s[277]||(s[277]=i("span",{class:"jlbinding"},"GeometryOps.coverage",-1)),s[278]||(s[278]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[279]||(s[279]=t('
julia
coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T

Returns the area of intersection between given geometry and grid cell defined by its minimum and maximum x and y-values. This is computed differently for different geometries:

  • The signed area of a point is always zero.

  • The signed area of a curve is always zero.

  • The signed area of a polygon is calculated by tracing along its edges and switching to the cell edges if needed.

  • The coverage of a geometry collection, multi-geometry, feature collection of array/iterable is the sum of the coverages of all of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',5))]),i("details",gs,[i("summary",null,[s[280]||(s[280]=i("a",{id:"GeometryOps.coveredby-Tuple{Any, Any}",href:"#GeometryOps.coveredby-Tuple{Any, Any}"},"#",-1)),s[281]||(s[281]=a()),s[282]||(s[282]=i("span",{class:"jlbinding"},"GeometryOps.coveredby",-1)),s[283]||(s[283]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[284]||(s[284]=t(`
julia
coveredby(g1, g2)::Bool

Return true if the first geometry is completely covered by the second geometry. The interior and boundary of the primary geometry (g1) must not intersect the exterior of the secondary geometry (g2).

Furthermore, coveredby returns the exact opposite result of covers. They are equivalent with the order of the arguments swapped.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 p1 = GI.Point(0.0, 0.0)
 p2 = GI.Point(1.0, 1.0)
 l1 = GI.Line([p1, p2])
 
 GO.coveredby(p1, l1)
 # output
-true

source


# GeometryOps.covers — Method.
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.

covers returns the exact opposite result of coveredby.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",ys,[i("summary",null,[s[285]||(s[285]=i("a",{id:"GeometryOps.covers-Tuple{Any, Any}",href:"#GeometryOps.covers-Tuple{Any, Any}"},"#",-1)),s[286]||(s[286]=a()),s[287]||(s[287]=i("span",{class:"jlbinding"},"GeometryOps.covers",-1)),s[288]||(s[288]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[289]||(s[289]=t(`
julia
covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool

Return true if the first geometry is completely covers the second geometry, The exterior and boundary of the second geometry must not be outside of the interior and boundary of the first geometry. However, the interiors need not intersect.

covers returns the exact opposite result of coveredby.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 l1 = GI.LineString([(1.0, 1.0), (1.0, 2.0), (1.0, 3.0), (1.0, 4.0)])
 l2 = GI.LineString([(1.0, 1.0), (1.0, 2.0)])
 
 GO.covers(l1, l2)
 # output
-true

source


# GeometryOps.crosses — Method.
julia
 crosses(geom1, geom2)::Bool

Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.

TODO: broken

Examples

julia
import GeoInterface as GI, GeometryOps as GO
-# TODO: Add working example

source


# GeometryOps.cut — Method.
julia
cut(geom, line, [T::Type])

Return given geom cut by given line as a list of geometries of the same type as the input geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.

Note: This currently doesn't work for degenerate cases there line crosses through vertices.

Example

julia
import GeoInterface as GI, GeometryOps as GO
+true

source

`,6))]),i("details",Es,[i("summary",null,[s[290]||(s[290]=i("a",{id:"GeometryOps.crosses-Tuple{Any, Any}",href:"#GeometryOps.crosses-Tuple{Any, Any}"},"#",-1)),s[291]||(s[291]=a()),s[292]||(s[292]=i("span",{class:"jlbinding"},"GeometryOps.crosses",-1)),s[293]||(s[293]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[294]||(s[294]=t(`
julia
 crosses(geom1, geom2)::Bool

Return true if the intersection results in a geometry whose dimension is one less than the maximum dimension of the two source geometries and the intersection set is interior to both source geometries.

TODO: broken

Examples

julia
import GeoInterface as GI, GeometryOps as GO
+# TODO: Add working example

source

`,6))]),i("details",cs,[i("summary",null,[s[295]||(s[295]=i("a",{id:"GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.cut-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[296]||(s[296]=a()),s[297]||(s[297]=i("span",{class:"jlbinding"},"GeometryOps.cut",-1)),s[298]||(s[298]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[299]||(s[299]=t(`
julia
cut(geom, line, [T::Type])

Return given geom cut by given line as a list of geometries of the same type as the input geom. Return the original geometry as only list element if none are found. Line must cut fully through given geometry or the original geometry will be returned.

Note: This currently doesn't work for degenerate cases there line crosses through vertices.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0.0, 0.0), (10.0, 0.0), (10.0, 10.0), (0.0, 10.0), (0.0, 0.0)]])
 line = GI.Line([(5.0, -5.0), (5.0, 15.0)])
@@ -189,7 +189,7 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 # output
 2-element Vector{Vector{Vector{Vector{Float64}}}}:
  [[[0.0, 0.0], [5.0, 0.0], [5.0, 10.0], [0.0, 10.0], [0.0, 0.0]]]
- [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]

source


# GeometryOps.difference — Method.
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.

Example

julia
import GeoInterface as GI, GeometryOps as GO
+ [[[5.0, 0.0], [10.0, 0.0], [10.0, 10.0], [5.0, 10.0], [5.0, 0.0]]]

source

`,6))]),i("details",us,[i("summary",null,[s[300]||(s[300]=i("a",{id:"GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.difference-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[301]||(s[301]=a()),s[302]||(s[302]=i("span",{class:"jlbinding"},"GeometryOps.difference",-1)),s[303]||(s[303]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[304]||(s[304]=t(`
julia
difference(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the difference between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 poly1 = GI.Polygon([[[0.0, 0.0], [5.0, 5.0], [10.0, 0.0], [5.0, -5.0], [0.0, 0.0]]])
 poly2 = GI.Polygon([[[3.0, 0.0], [8.0, 5.0], [13.0, 0.0], [8.0, -5.0], [3.0, 0.0]]])
@@ -198,33 +198,33 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]

source


# GeometryOps.disjoint — Method.
julia
disjoint(geom1, geom2)::Bool

Return true if the first geometry is disjoint from the second geometry.

Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [3.0, 0.0], [6.5, 3.5]]]

source

`,5))]),i("details",ms,[i("summary",null,[s[305]||(s[305]=i("a",{id:"GeometryOps.disjoint-Tuple{Any, Any}",href:"#GeometryOps.disjoint-Tuple{Any, Any}"},"#",-1)),s[306]||(s[306]=a()),s[307]||(s[307]=i("span",{class:"jlbinding"},"GeometryOps.disjoint",-1)),s[308]||(s[308]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[309]||(s[309]=t(`
julia
disjoint(geom1, geom2)::Bool

Return true if the first geometry is disjoint from the second geometry.

Return true if the first geometry is disjoint from the second geometry. The interiors and boundaries of both geometries must not intersect.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (2, 2)
 GO.disjoint(point, line)
 
 # output
-true

source


# GeometryOps.distance — Method.
julia
distance(point, geom, ::Type{T} = Float64)::T

Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.

The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.embed_extent — Method.
julia
embed_extent(obj)

Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.

This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.

Keywords

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

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

source


# GeometryOps.enforce — Method.
julia
enforce(alg::GO.GEOS, kw::Symbol, f)

Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].

Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).

source


# GeometryOps.equals — Method.
julia
equals(trait_a, geom_a, trait_b, geom_b)

Two geometries which are not of the same type cannot be equal so they always return false.

source


# GeometryOps.equals — Method.
julia
equals(geom1, geom2)::Bool

Compare two Geometries return true if they are the same geometry.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+true

source

`,6))]),i("details",Fs,[i("summary",null,[s[310]||(s[310]=i("a",{id:"GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[311]||(s[311]=a()),s[312]||(s[312]=i("span",{class:"jlbinding"},"GeometryOps.distance",-1)),s[313]||(s[313]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[314]||(s[314]=t('
julia
distance(point, geom, ::Type{T} = Float64)::T

Calculates the ditance from the geometry g1 to the point. The distance will always be positive or zero.

The method will differ based on the type of the geometry provided: - The distance from a point to a point is just the Euclidean distance between the points. - The distance from a point to a line is the minimum distance from the point to the closest point on the given line. - The distance from a point to a linestring is the minimum distance from the point to the closest segment of the linestring. - The distance from a point to a linear ring is the minimum distance from the point to the closest segment of the linear ring. - The distance from a point to a polygon is zero if the point is within the polygon and otherwise is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The distance from a point to a multigeometry or a geometry collection is the minimum distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',5))]),i("details",Cs,[i("summary",null,[s[315]||(s[315]=i("a",{id:"GeometryOps.embed_extent-Tuple{Any}",href:"#GeometryOps.embed_extent-Tuple{Any}"},"#",-1)),s[316]||(s[316]=a()),s[317]||(s[317]=i("span",{class:"jlbinding"},"GeometryOps.embed_extent",-1)),s[318]||(s[318]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[319]||(s[319]=t('
julia
embed_extent(obj)

Recursively wrap the object with a GeoInterface.jl geometry, calculating and adding an Extents.Extent to all objects.

This can improve performance when extents need to be checked multiple times, such when needing to check if many points are in geometries, and using their extents as a quick filter for obviously exterior points.

Keywords

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

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

source

',6))]),i("details",bs,[i("summary",null,[s[320]||(s[320]=i("a",{id:"GeometryOps.enforce-Tuple{GEOS, Symbol, Any}",href:"#GeometryOps.enforce-Tuple{GEOS, Symbol, Any}"},"#",-1)),s[321]||(s[321]=a()),s[322]||(s[322]=i("span",{class:"jlbinding"},"GeometryOps.enforce",-1)),s[323]||(s[323]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[324]||(s[324]=t('
julia
enforce(alg::GO.GEOS, kw::Symbol, f)

Enforce the presence of a keyword argument in a GEOS algorithm, and return alg.params[kw].

Throws an error if the key is not present, and mentions f in the error message (since there isn't a good way to get the name of the function that called this method).

source

',4))]),i("details",fs,[i("summary",null,[s[325]||(s[325]=i("a",{id:"GeometryOps.equals-NTuple{4, Any}",href:"#GeometryOps.equals-NTuple{4, Any}"},"#",-1)),s[326]||(s[326]=a()),s[327]||(s[327]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[328]||(s[328]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[329]||(s[329]=t('
julia
equals(trait_a, geom_a, trait_b, geom_b)

Two geometries which are not of the same type cannot be equal so they always return false.

source

',3))]),i("details",Ts,[i("summary",null,[s[330]||(s[330]=i("a",{id:"GeometryOps.equals-Tuple{Any, Any}",href:"#GeometryOps.equals-Tuple{Any, Any}"},"#",-1)),s[331]||(s[331]=a()),s[332]||(s[332]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[333]||(s[333]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[334]||(s[334]=t(`
julia
equals(geom1, geom2)::Bool

Compare two Geometries return true if they are the same geometry.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 
 GO.equals(poly1, poly2)
 # output
-true

source


# GeometryOps.equals — Method.
julia
equals(
+true

source

`,5))]),i("details",vs,[i("summary",null,[s[335]||(s[335]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, GeoInterface.LinearRingTrait, Any}"},"#",-1)),s[336]||(s[336]=a()),s[337]||(s[337]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[338]||(s[338]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[339]||(s[339]=t(`
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool

Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.

source


# GeometryOps.equals — Method.
julia
equals(
+)::Bool

Two linear rings are equal if they share the same set of points going along the curve. Note that rings are closed by definition, so they can have, but don't need, a repeated last point to be equal.

source

`,3))]),i("details",Gs,[i("summary",null,[s[340]||(s[340]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.LinearRingTrait, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"},"#",-1)),s[341]||(s[341]=a()),s[342]||(s[342]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[343]||(s[343]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[344]||(s[344]=t(`
julia
equals(
     ::GI.LinearRingTrait, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool

A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source


# GeometryOps.equals — Method.
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool

Two multipoints are equal if they share the same set of points.

source


# GeometryOps.equals — Method.
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool

A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two multipolygons are equal if they share the same set of polygons.

source


# GeometryOps.equals — Method.
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool

A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool

Two points are the same if they have the same x and y (and z if 3D) coordinates.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source


# GeometryOps.equals — Method.
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two polygons are equal if they share the same exterior edge and holes.

source


# GeometryOps.equals — Method.
julia
equals(
+)::Bool

A linear ring and a line/linestring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source

`,3))]),i("details",As,[i("summary",null,[s[345]||(s[345]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"},"#",-1)),s[346]||(s[346]=a()),s[347]||(s[347]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[348]||(s[348]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[349]||(s[349]=t('
julia
equals(::GI.MultiPointTrait, mp1, ::GI.MultiPointTrait, mp2)::Bool

Two multipoints are equal if they share the same set of points.

source

',3))]),i("details",js,[i("summary",null,[s[350]||(s[350]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.PointTrait, Any}"},"#",-1)),s[351]||(s[351]=a()),s[352]||(s[352]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[353]||(s[353]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[354]||(s[354]=t('
julia
equals(::GI.MultiPointTrait, mp1, ::GI.PointTrait, p2)::Bool

A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.

source

',3))]),i("details",Bs,[i("summary",null,[s[355]||(s[355]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},"#",-1)),s[356]||(s[356]=a()),s[357]||(s[357]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[358]||(s[358]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[359]||(s[359]=t('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two multipolygons are equal if they share the same set of polygons.

source

',3))]),i("details",Os,[i("summary",null,[s[360]||(s[360]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},"#",-1)),s[361]||(s[361]=a()),s[362]||(s[362]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[363]||(s[363]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[364]||(s[364]=t('
julia
equals(::GI.MultiPolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

',3))]),i("details",Ds,[i("summary",null,[s[365]||(s[365]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.MultiPointTrait, Any}"},"#",-1)),s[366]||(s[366]=a()),s[367]||(s[367]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[368]||(s[368]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[369]||(s[369]=t('
julia
equals(::GI.PointTrait, p1, ::GI.MultiPointTrait, mp2)::Bool

A point and a multipoint are equal if the multipoint is composed of a single point that is equivalent to the given point.

source

',3))]),i("details",xs,[i("summary",null,[s[370]||(s[370]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PointTrait, Any, GeoInterface.PointTrait, Any}"},"#",-1)),s[371]||(s[371]=a()),s[372]||(s[372]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[373]||(s[373]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[374]||(s[374]=t('
julia
equals(::GI.PointTrait, p1, ::GI.PointTrait, p2)::Bool

Two points are the same if they have the same x and y (and z if 3D) coordinates.

source

',3))]),i("details",Qs,[i("summary",null,[s[375]||(s[375]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},"#",-1)),s[376]||(s[376]=a()),s[377]||(s[377]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[378]||(s[378]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[379]||(s[379]=t('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.MultiPolygonTrait, geom_b)::Bool

A polygon and a multipolygon are equal if the multipolygon is composed of a single polygon that is equivalent to the given polygon.

source

',3))]),i("details",ws,[i("summary",null,[s[380]||(s[380]=i("a",{id:"GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.equals-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},"#",-1)),s[381]||(s[381]=a()),s[382]||(s[382]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[383]||(s[383]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[384]||(s[384]=t('
julia
equals(::GI.PolygonTrait, geom_a, ::GI.PolygonTrait, geom_b)::Bool

Two polygons are equal if they share the same exterior edge and holes.

source

',3))]),i("details",Is,[i("summary",null,[s[385]||(s[385]=i("a",{id:"GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}",href:"#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, GeoInterface.LinearRingTrait, Any}"},"#",-1)),s[386]||(s[386]=a()),s[387]||(s[387]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[388]||(s[388]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[389]||(s[389]=t(`
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::GI.LinearRingTrait, l2,
-)::Bool

A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source


# GeometryOps.equals — Method.
julia
equals(
+)::Bool

A line/linestring and a linear ring are equal if they share the same set of points going along the curve. Note that lines aren't closed by definition, but rings are, so the line must have a repeated last point to be equal

source

`,3))]),i("details",Ls,[i("summary",null,[s[390]||(s[390]=i("a",{id:"GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}",href:"#GeometryOps.equals-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.LineTrait}, Any}"},"#",-1)),s[391]||(s[391]=a()),s[392]||(s[392]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[393]||(s[393]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[394]||(s[394]=t(`
julia
equals(
     ::Union{GI.LineTrait, GI.LineStringTrait}, l1,
     ::Union{GI.LineTrait, GI.LineStringTrait}, l2,
-)::Bool

Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.

source


# GeometryOps.equals — Method.
julia
equals(::T, geom_a, ::T, geom_b)::Bool

Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.

source


# GeometryOps.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
+)::Bool

Two lines/linestrings are equal if they share the same set of points going along the curve. Note that lines/linestrings aren't closed by definition.

source

`,3))]),i("details",Ms,[i("summary",null,[s[395]||(s[395]=i("a",{id:"GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T",href:"#GeometryOps.equals-Union{Tuple{T}, Tuple{T, Any, T, Any}} where T"},"#",-1)),s[396]||(s[396]=a()),s[397]||(s[397]=i("span",{class:"jlbinding"},"GeometryOps.equals",-1)),s[398]||(s[398]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[399]||(s[399]=t('
julia
equals(::T, geom_a, ::T, geom_b)::Bool

Two geometries of the same type, which don't have a equals function to dispatch off of should throw an error.

source

',3))]),i("details",Ps,[i("summary",null,[s[400]||(s[400]=i("a",{id:"GeometryOps.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target<:GeoInterface.AbstractTrait",href:"#GeometryOps.flatten-Union{Tuple{Target}, Tuple{Type{Target}, Any}} where Target<:GeoInterface.AbstractTrait"},"#",-1)),s[401]||(s[401]=a()),s[402]||(s[402]=i("span",{class:"jlbinding"},"GeometryOps.flatten",-1)),s[403]||(s[403]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[404]||(s[404]=t(`
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
+flatten(f, target::Type{<:GI.AbstractTrait}, obj)

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

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

source

`,4))]),i("details",qs,[i("summary",null,[s[405]||(s[405]=i("a",{id:"GeometryOps.flip-Tuple{Any}",href:"#GeometryOps.flip-Tuple{Any}"},"#",-1)),s[406]||(s[406]=a()),s[407]||(s[407]=i("span",{class:"jlbinding"},"GeometryOps.flip",-1)),s[408]||(s[408]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[409]||(s[409]=t('
julia
flip(obj)

Swap all of the x and y coordinates in obj, otherwise keeping the original structure (but not necessarily the original type).

Keywords

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

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

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

source

',5))]),i("details",Rs,[i("summary",null,[s[410]||(s[410]=i("a",{id:"GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.intersection-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[411]||(s[411]=a()),s[412]||(s[412]=i("span",{class:"jlbinding"},"GeometryOps.intersection",-1)),s[413]||(s[413]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[414]||(s[414]=t(`
julia
intersection(geom_a, geom_b, [T::Type]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the intersection between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a target type as a keyword argument and a list of target geometries found in the intersection will be returned. The user can also provide a float type that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to nothing if you know that the multipolygons are valid, as it will avoid unneeded computation.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)])
 line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)])
@@ -233,7 +233,7 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 
 # output
 1-element Vector{Vector{Float64}}:
- [125.58375366067548, -14.83572303404496]

source


# GeometryOps.intersection_points — Method.
julia
intersection_points(geom_a, geom_b, [T::Type])

Return a list of intersection tuple points between two geometries. If no intersection points exist, returns an empty list.

Example

jldoctest

+ [125.58375366067548, -14.83572303404496]

source

`,5))]),i("details",Ss,[i("summary",null,[s[415]||(s[415]=i("a",{id:"GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.intersection_points-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[416]||(s[416]=a()),s[417]||(s[417]=i("span",{class:"jlbinding"},"GeometryOps.intersection_points",-1)),s[418]||(s[418]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[419]||(s[419]=t(`
julia
intersection_points(geom_a, geom_b, [T::Type])

Return a list of intersection tuple points between two geometries. If no intersection points exist, returns an empty list.

Example

jldoctest

 line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)]) line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)]) inter_points = GO.intersection_points(line1, line2)
 
 **output**
@@ -243,11 +243,10 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 
 [source](https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/clipping/intersection.jl#L177-L195)
 
-</div>
-<br>
-<div style='border-width:1px; border-style:solid; border-color:black; padding: 1em; border-radius: 25px;'>
-<a id='GeometryOps.intersects-Tuple{Any, Any}' href='#GeometryOps.intersects-Tuple{Any, Any}'>#</a>&nbsp;<b><u>GeometryOps.intersects</u></b> &mdash; <i>Method</i>.
+</details>
 
+<details class='jldocstring custom-block' open>
+<summary><a id='GeometryOps.intersects-Tuple{Any, Any}' href='#GeometryOps.intersects-Tuple{Any, Any}'>#</a> <span class="jlbinding">GeometryOps.intersects</span> <Badge type="info" class="jlObjectType jlMethod" text="Method" /></summary>
 
 
 
@@ -259,57 +258,57 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 GO.intersects(line1, line2)
 
 # output
-true

source


`,178)),s("div",h,[i[2]||(i[2]=a('# GeometryOps.isclockwise — Method.
julia
isclockwise(line::Union{LineString, Vector{Position}})::Bool

Take a ring and return true if the line goes clockwise, or false if the line goes counter-clockwise. "Going clockwise" means, mathematically,

',8)),s("mjx-container",p,[(t(),e("svg",r,i[0]||(i[0]=[a('',1)]))),i[1]||(i[1]=s("mjx-assistive-mml",{unselectable:"on",display:"block",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("munderover",null,[s("mo",{"data-mjx-texclass":"OP"},"∑"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"i"),s("mo",null,"="),s("mn",null,"2")]),s("mi",null,"n")]),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mi",null,"i")]),s("mo",null,"−"),s("msub",null,[s("mi",null,"x"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"i"),s("mo",null,"−"),s("mn",null,"1")])]),s("mo",{stretchy:"false"},")"),s("mo",null,"⋅"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"y"),s("mi",null,"i")]),s("mo",null,"+"),s("msub",null,[s("mi",null,"y"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"i"),s("mo",null,"−"),s("mn",null,"1")])]),s("mo",{stretchy:"false"},")"),s("mo",{"data-mjx-texclass":"CLOSE"},")")]),s("mo",null,">"),s("mn",null,"0")])],-1))]),i[3]||(i[3]=a(`

Example

julia
julia> import GeoInterface as GI, GeometryOps as GO
+true

source

`,9))]),i("details",Vs,[i("summary",null,[s[420]||(s[420]=i("a",{id:"GeometryOps.isclockwise-Tuple{Any}",href:"#GeometryOps.isclockwise-Tuple{Any}"},"#",-1)),s[421]||(s[421]=a()),s[422]||(s[422]=i("span",{class:"jlbinding"},"GeometryOps.isclockwise",-1)),s[423]||(s[423]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[426]||(s[426]=t('
julia
isclockwise(line::Union{LineString, Vector{Position}})::Bool

Take a ring and return true if the line goes clockwise, or false if the line goes counter-clockwise. "Going clockwise" means, mathematically,

',2)),i("mjx-container",Us,[(p(),l("svg",Js,s[424]||(s[424]=[t('',1)]))),s[425]||(s[425]=i("mjx-assistive-mml",{unselectable:"on",display:"block",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",overflow:"hidden",width:"100%"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[i("mrow",{"data-mjx-texclass":"INNER"},[i("mo",{"data-mjx-texclass":"OPEN"},"("),i("munderover",null,[i("mo",{"data-mjx-texclass":"OP"},"∑"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"="),i("mn",null,"2")]),i("mi",null,"n")]),i("mo",{stretchy:"false"},"("),i("msub",null,[i("mi",null,"x"),i("mi",null,"i")]),i("mo",null,"−"),i("msub",null,[i("mi",null,"x"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"−"),i("mn",null,"1")])]),i("mo",{stretchy:"false"},")"),i("mo",null,"⋅"),i("mo",{stretchy:"false"},"("),i("msub",null,[i("mi",null,"y"),i("mi",null,"i")]),i("mo",null,"+"),i("msub",null,[i("mi",null,"y"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",null,"i"),i("mo",null,"−"),i("mn",null,"1")])]),i("mo",{stretchy:"false"},")"),i("mo",{"data-mjx-texclass":"CLOSE"},")")]),i("mo",null,">"),i("mn",null,"0")])],-1))]),s[427]||(s[427]=t(`

Example

julia
julia> import GeoInterface as GI, GeometryOps as GO
 julia> ring = GI.LinearRing([(0, 0), (1, 1), (1, 0), (0, 0)]);
 julia> GO.isclockwise(ring)
 # output
-true

source

`,3))]),i[9]||(i[9]=a(`
# GeometryOps.isconcave — Method.
julia
isconcave(poly::Polygon)::Bool

Take a polygon and return true or false as to whether it is concave or not.

Examples

julia
import GeoInterface as GI, GeometryOps as GO
+true

source

`,3))]),i("details",Hs,[i("summary",null,[s[428]||(s[428]=i("a",{id:"GeometryOps.isconcave-Tuple{Any}",href:"#GeometryOps.isconcave-Tuple{Any}"},"#",-1)),s[429]||(s[429]=a()),s[430]||(s[430]=i("span",{class:"jlbinding"},"GeometryOps.isconcave",-1)),s[431]||(s[431]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[432]||(s[432]=t(`
julia
isconcave(poly::Polygon)::Bool

Take a polygon and return true or false as to whether it is concave or not.

Examples

julia
import GeoInterface as GI, GeometryOps as GO
 
 poly = GI.Polygon([[(0, 0), (0, 1), (1, 1), (1, 0), (0, 0)]])
 GO.isconcave(poly)
 
 # output
-false

source


# GeometryOps.overlaps — Method.
julia
overlaps(geom1, geom2)::Bool

Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+false

source

`,5))]),i("details",Ns,[i("summary",null,[s[433]||(s[433]=i("a",{id:"GeometryOps.overlaps-Tuple{Any, Any}",href:"#GeometryOps.overlaps-Tuple{Any, Any}"},"#",-1)),s[434]||(s[434]=a()),s[435]||(s[435]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[436]||(s[436]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[437]||(s[437]=t(`
julia
overlaps(geom1, geom2)::Bool

Compare two Geometries of the same dimension and return true if their intersection set results in a geometry different from both but of the same dimension. This means one geometry cannot be within or contain the other and they cannot be equal

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 poly1 = GI.Polygon([[(0,0), (0,5), (5,5), (5,0), (0,0)]])
 poly2 = GI.Polygon([[(1,1), (1,6), (6,6), (6,1), (1,1)]])
 
 GO.overlaps(poly1, poly2)
 # output
-true

source


# GeometryOps.overlaps — Method.
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool

For any non-specified pair, all have non-matching dimensions, return false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool

If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+true

source

`,5))]),i("details",Ws,[i("summary",null,[s[438]||(s[438]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.AbstractTrait, Any, GeoInterface.AbstractTrait, Any}"},"#",-1)),s[439]||(s[439]=a()),s[440]||(s[440]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[441]||(s[441]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[442]||(s[442]=t('
julia
overlaps(::GI.AbstractTrait, geom1, ::GI.AbstractTrait, geom2)::Bool

For any non-specified pair, all have non-matching dimensions, return false.

source

',3))]),i("details",zs,[i("summary",null,[s[443]||(s[443]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.LineTrait, Any, GeoInterface.LineTrait, Any}"},"#",-1)),s[444]||(s[444]=a()),s[445]||(s[445]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[446]||(s[446]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[447]||(s[447]=t('
julia
overlaps(::GI.LineTrait, line1, ::GI.LineTrait, line)::Bool

If the lines overlap, meaning that they are collinear but each have one endpoint outside of the other line, return true. Else false.

source

',3))]),i("details",Zs,[i("summary",null,[s[448]||(s[448]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPointTrait, Any, GeoInterface.MultiPointTrait, Any}"},"#",-1)),s[449]||(s[449]=a()),s[450]||(s[450]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[451]||(s[451]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[452]||(s[452]=t(`
julia
overlaps(
     ::GI.MultiPointTrait, points1,
     ::GI.MultiPointTrait, points2,
-)::Bool

If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

If the multipoints overlap, meaning some, but not all, of the points within the multipoints are shared, return true.

source

`,3))]),i("details",Ks,[i("summary",null,[s[453]||(s[453]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},"#",-1)),s[454]||(s[454]=a()),s[455]||(s[455]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[456]||(s[456]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[457]||(s[457]=t(`
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool

Return true if at least one pair of polygons from multipolygons overlap. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

Return true if at least one pair of polygons from multipolygons overlap. Else false.

source

`,3))]),i("details",Xs,[i("summary",null,[s[458]||(s[458]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.MultiPolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},"#",-1)),s[459]||(s[459]=a()),s[460]||(s[460]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[461]||(s[461]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[462]||(s[462]=t(`
julia
overlaps(
     ::GI.MultiPolygonTrait, polys1,
     ::GI.PolygonTrait, poly2,
-)::Bool

Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.

source

`,3))]),i("details",$s,[i("summary",null,[s[463]||(s[463]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.MultiPolygonTrait, Any}"},"#",-1)),s[464]||(s[464]=a()),s[465]||(s[465]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[466]||(s[466]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[467]||(s[467]=t(`
julia
overlaps(
     ::GI.PolygonTrait, poly1,
     ::GI.MultiPolygonTrait, polys2,
-)::Bool

Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

Return true if polygon overlaps with at least one of the polygons within the multipolygon. Else false.

source

`,3))]),i("details",Ys,[i("summary",null,[s[468]||(s[468]=i("a",{id:"GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}",href:"#GeometryOps.overlaps-Tuple{GeoInterface.PolygonTrait, Any, GeoInterface.PolygonTrait, Any}"},"#",-1)),s[469]||(s[469]=a()),s[470]||(s[470]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[471]||(s[471]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[472]||(s[472]=t(`
julia
overlaps(
     trait_a::GI.PolygonTrait, poly_a,
     trait_b::GI.PolygonTrait, poly_b,
-)::Bool

If the two polygons intersect with one another, but are not equal, return true. Else false.

source


# GeometryOps.overlaps — Method.
julia
overlaps(
+)::Bool

If the two polygons intersect with one another, but are not equal, return true. Else false.

source

`,3))]),i("details",_s,[i("summary",null,[s[473]||(s[473]=i("a",{id:"GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}",href:"#GeometryOps.overlaps-Tuple{Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any, Union{GeoInterface.LineStringTrait, GeoInterface.Wrappers.LinearRing}, Any}"},"#",-1)),s[474]||(s[474]=a()),s[475]||(s[475]=i("span",{class:"jlbinding"},"GeometryOps.overlaps",-1)),s[476]||(s[476]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[477]||(s[477]=t(`
julia
overlaps(
     ::Union{GI.LineStringTrait, GI.LinearRing}, line1,
     ::Union{GI.LineStringTrait, GI.LinearRing}, line2,
-)::Bool

If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.

source


# GeometryOps.polygon_to_line — Method.
julia
polygon_to_line(poly::Polygon)

Converts a Polygon to LineString or MultiLineString

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+)::Bool

If the curves overlap, meaning that at least one edge of each curve overlaps, return true. Else false.

source

`,3))]),i("details",si,[i("summary",null,[s[478]||(s[478]=i("a",{id:"GeometryOps.polygon_to_line-Tuple{Any}",href:"#GeometryOps.polygon_to_line-Tuple{Any}"},"#",-1)),s[479]||(s[479]=a()),s[480]||(s[480]=i("span",{class:"jlbinding"},"GeometryOps.polygon_to_line",-1)),s[481]||(s[481]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[482]||(s[482]=t(`
julia
polygon_to_line(poly::Polygon)

Converts a Polygon to LineString or MultiLineString

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 poly = GI.Polygon([[(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)]])
 GO.polygon_to_line(poly)
 # output
-GeoInterface.Wrappers.LineString{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)], nothing, nothing)

source


# GeometryOps.polygonize — Method.
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
+GeoInterface.Wrappers.LineString{false, false, Vector{Tuple{Float64, Float64}}, Nothing, Nothing}([(-2.275543, 53.464547), (-2.275543, 53.489271), (-2.215118, 53.489271), (-2.215118, 53.464547), (-2.275543, 53.464547)], nothing, nothing)

source

`,5))]),i("details",ii,[i("summary",null,[s[483]||(s[483]=i("a",{id:"GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}",href:"#GeometryOps.polygonize-Tuple{AbstractMatrix{Bool}}"},"#",-1)),s[484]||(s[484]=a()),s[485]||(s[485]=i("span",{class:"jlbinding"},"GeometryOps.polygonize",-1)),s[486]||(s[486]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[487]||(s[487]=t(`
julia
polygonize(A::AbstractMatrix{Bool}; kw...)
 polygonize(f, A::AbstractMatrix; kw...)
 polygonize(xs, ys, A::AbstractMatrix{Bool}; kw...)
 polygonize(f, xs, ys, A::AbstractMatrix; kw...)

Polygonize an AbstractMatrix of values, currently to a single class of polygons.

Returns a MultiPolygon for Bool values and f return values, and a FeatureCollection of Features holding MultiPolygon for all other values.

Function f should return either true or false or a transformation of values into simpler groups, especially useful for floating point arrays.

If xs and ys are ranges, they are used as the pixel/cell center points. If they are Vector of Tuple they are used as the lower and upper bounds of each pixel/cell.

Keywords

  • minpoints: ignore polygons with less than minpoints points.

  • values: the values to turn into polygons. By default these are union(A), If function f is passed these refer to the return values of f, by default union(map(f, A). If values Bool, false is ignored and a single MultiPolygon is returned rather than a FeatureCollection.

Example

julia
using GeometryOps
 A = rand(100, 100)
-multipolygon = polygonize(>(0.5), A);

source


# GeometryOps.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.
+multipolygon = polygonize(>(0.5), A);

source

`,10))]),i("details",ai,[i("summary",null,[s[488]||(s[488]=i("a",{id:"GeometryOps.rebuild-Tuple{Any, Any}",href:"#GeometryOps.rebuild-Tuple{Any, Any}"},"#",-1)),s[489]||(s[489]=a()),s[490]||(s[490]=i("span",{class:"jlbinding"},"GeometryOps.rebuild",-1)),s[491]||(s[491]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[492]||(s[492]=t('
julia
rebuild(geom, child_geoms)

Rebuild a geometry from child geometries.

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

(Maybe it should go into GeoInterface.jl)

source

',5))]),i("details",ti,[i("summary",null,[s[493]||(s[493]=i("a",{id:"GeometryOps.reconstruct-Tuple{Any, Any}",href:"#GeometryOps.reconstruct-Tuple{Any, Any}"},"#",-1)),s[494]||(s[494]=a()),s[495]||(s[495]=i("span",{class:"jlbinding"},"GeometryOps.reconstruct",-1)),s[496]||(s[496]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[497]||(s[497]=t('
julia
reconstruct(geom, components)

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

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

Usually used in combination with flatten.

source

',5))]),i("details",ei,[i("summary",null,[s[498]||(s[498]=i("a",{id:"GeometryOps.segmentize-Tuple{Any}",href:"#GeometryOps.segmentize-Tuple{Any}"},"#",-1)),s[499]||(s[499]=a()),s[500]||(s[500]=i("span",{class:"jlbinding"},"GeometryOps.segmentize",-1)),s[501]||(s[501]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[502]||(s[502]=t('
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

',6))]),i("details",ni,[i("summary",null,[s[503]||(s[503]=i("a",{id:"GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.signed_area-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[504]||(s[504]=a()),s[505]||(s[505]=i("span",{class:"jlbinding"},"GeometryOps.signed_area",-1)),s[506]||(s[506]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[507]||(s[507]=t(`
julia
signed_area(geom, [T = Float64])::T

Returns the signed area of a single geometry, based on winding order. This is computed slightly differently for different geometries:

- The signed area of a point is always zero.
 - The signed area of a curve is always zero.
 - The signed area of a polygon is computed with the shoelace formula and is
 positive if the polygon coordinates wind clockwise and negative if
 counterclockwise.
 - You cannot compute the signed area of a multipolygon as it doesn't have a
-meaning as each sub-polygon could have a different winding order.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.signed_distance — Method.
julia
signed_distance(point, geom, ::Type{T} = Float64)::T

Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source


# GeometryOps.simplify — Method.
julia
simplify(obj; kw...)
+meaning as each sub-polygon could have a different winding order.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

`,5))]),i("details",li,[i("summary",null,[s[508]||(s[508]=i("a",{id:"GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.signed_distance-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[509]||(s[509]=a()),s[510]||(s[510]=i("span",{class:"jlbinding"},"GeometryOps.signed_distance",-1)),s[511]||(s[511]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[512]||(s[512]=t('
julia
signed_distance(point, geom, ::Type{T} = Float64)::T

Calculates the signed distance from the geometry geom to the given point. Points within geom have a negative signed distance, and points outside of geom have a positive signed distance. - The signed distance from a point to a point, line, linestring, or linear ring is equal to the distance between the two. - The signed distance from a point to a polygon is negative if the point is within the polygon and is positive otherwise. The value of the distance is the minimum distance from the point to an edge of the polygon. This includes edges created by holes. - The signed distance from a point to a multigeometry or a geometry collection is the minimum signed distance between the point and any of the sub-geometries.

Result will be of type T, where T is an optional argument with a default value of Float64.

source

',4))]),i("details",pi,[i("summary",null,[s[513]||(s[513]=i("a",{id:"GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}",href:"#GeometryOps.simplify-Tuple{GeometryOps.SimplifyAlg, Any}"},"#",-1)),s[514]||(s[514]=a()),s[515]||(s[515]=i("span",{class:"jlbinding"},"GeometryOps.simplify",-1)),s[516]||(s[516]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[517]||(s[517]=t(`
julia
simplify(obj; kw...)
 simplify(::SimplifyAlg, obj; kw...)

Simplify a geometry, feature, feature collection, or nested vectors or a table of these.

RadialDistance, DouglasPeucker, or VisvalingamWhyatt algorithms are available, listed in order of increasing quality but decreasing performance.

PoinTrait and MultiPointTrait are returned unchanged.

The default behaviour is simplify(DouglasPeucker(; kw...), obj). Pass in other SimplifyAlg to use other algorithms.

Keywords

  • prefilter_alg: SimplifyAlg algorithm used to pre-filter object before using primary filtering algorithm.

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

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

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

Keywords for DouglasPeucker are allowed when no algorithm is specified:

Keywords

  • ratio: the fraction of points that should remain after simplify. Useful as it will generalise for large collections of objects.

  • number: the number of points that should remain after simplify. Less useful for large collections of mixed size objects.

  • tol: the minimum distance a point will be from the line joining its neighboring points.

Example

Simplify a polygon to have six points:

julia
import GeoInterface as GI
 import GeometryOps as GO
 
@@ -339,27 +338,26 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 GI.npoint(simple)
 
 # output
-6

source


`,37)),s("div",k,[i[6]||(i[6]=a('# GeometryOps.t_value — Method.
julia
t_value(sᵢ, sᵢ₊₁, rᵢ, rᵢ₊₁)

Returns the "T-value" as described in Hormann's presentation [1] on how to calculate the mean-value coordinate.

Here, sᵢ is the vector from vertex vᵢ to the point, and rᵢ is the norm (length) of sᵢ. s must be Point and r must be real numbers.

',9)),s("mjx-container",o,[(t(),e("svg",d,i[4]||(i[4]=[a('ᵢᵢᵢ₊₁ᵢᵢ₊₁ᵢᵢ₊₁',1)]))),i[5]||(i[5]=s("mjx-assistive-mml",{unselectable:"on",display:"block",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mi",null,"t"),s("mi",null,"ᵢ"),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",{"data-mjx-auto-op":"false"},"det")]),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mo",null,","),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])]),s("mrow",null,[s("mi",null,"r"),s("mi",null,"ᵢ"),s("mo",null,"∗"),s("mi",null,"r"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")]),s("mo",null,"+"),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mo",null,"⋅"),s("mi",null,"s"),s("mi",null,"ᵢ"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₊")]),s("mrow",{"data-mjx-texclass":"ORD"},[s("mo",{"data-mjx-pseudoscript":"true"},"₁")])])])])],-1))]),i[7]||(i[7]=a(`

+6

source

`,14))]),i("details",hi,[i("summary",null,[s[518]||(s[518]=i("a",{id:"GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}",href:"#GeometryOps.t_value-Union{Tuple{T2}, Tuple{T1}, Tuple{N}, Tuple{Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, Union{Tuple{Vararg{T1, N}}, StaticArraysCore.StaticArray{Tuple{N}, T1, 1}}, T2, T2}} where {N, T1<:Real, T2<:Real}"},"#",-1)),s[519]||(s[519]=a()),s[520]||(s[520]=i("span",{class:"jlbinding"},"GeometryOps.t_value",-1)),s[521]||(s[521]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[524]||(s[524]=t('
julia
t_value(sᵢ, sᵢ₊₁, rᵢ, rᵢ₊₁)

Returns the "T-value" as described in Hormann's presentation [1] on how to calculate the mean-value coordinate.

Here, sᵢ is the vector from vertex vᵢ to the point, and rᵢ is the norm (length) of sᵢ. s must be Point and r must be real numbers.

',3)),i("mjx-container",ki,[(p(),l("svg",ri,s[522]||(s[522]=[t('ᵢᵢᵢ₊₁ᵢᵢ₊₁ᵢᵢ₊₁',1)]))),s[523]||(s[523]=i("mjx-assistive-mml",{unselectable:"on",display:"block",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",overflow:"hidden",width:"100%"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[i("mi",null,"t"),i("mi",null,"ᵢ"),i("mo",null,"="),i("mfrac",null,[i("mrow",null,[i("mrow",{"data-mjx-texclass":"ORD"},[i("mi",{"data-mjx-auto-op":"false"},"det")]),i("mrow",{"data-mjx-texclass":"INNER"},[i("mo",{"data-mjx-texclass":"OPEN"},"("),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mo",null,","),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")]),i("mo",{"data-mjx-texclass":"CLOSE"},")")])]),i("mrow",null,[i("mi",null,"r"),i("mi",null,"ᵢ"),i("mo",null,"∗"),i("mi",null,"r"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")]),i("mo",null,"+"),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mo",null,"⋅"),i("mi",null,"s"),i("mi",null,"ᵢ"),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₊")]),i("mrow",{"data-mjx-texclass":"ORD"},[i("mo",{"data-mjx-pseudoscript":"true"},"₁")])])])])],-1))]),s[525]||(s[525]=t(`

 
 [source](https://github.com/JuliaGeo/GeometryOps.jl/blob/v0.1.12/src/methods/barycentric.jl#L289-L305)
 
-</div>
-<br>
-<div style='border-width:1px; border-style:solid; border-color:black; padding: 1em; border-radius: 25px;'>
-<a id='GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T' href='#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T'>#</a>&nbsp;<b><u>GeometryOps.to_edges</u></b> &mdash; <i>Method</i>.
+</details>
 
+<details class='jldocstring custom-block' open>
+<summary><a id='GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T' href='#GeometryOps.to_edges-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T'>#</a> <span class="jlbinding">GeometryOps.to_edges</span> <Badge type="info" class="jlObjectType jlMethod" text="Method" /></summary>
 
 
 
 \`\`\`julia
-to_edges()

Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.

source

`,3))]),i[10]||(i[10]=a(`
# GeometryOps.touches — Method.
julia
touches(geom1, geom2)::Bool

Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+to_edges()

Convert any geometry or collection of geometries into a flat vector of Tuple{Tuple{Float64,Float64},Tuple{Float64,Float64}} edges.

source

`,3))]),i("details",oi,[i("summary",null,[s[526]||(s[526]=i("a",{id:"GeometryOps.touches-Tuple{Any, Any}",href:"#GeometryOps.touches-Tuple{Any, Any}"},"#",-1)),s[527]||(s[527]=a()),s[528]||(s[528]=i("span",{class:"jlbinding"},"GeometryOps.touches",-1)),s[529]||(s[529]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[530]||(s[530]=t(`
julia
touches(geom1, geom2)::Bool

Return true if the first geometry touches the second geometry. In other words, the two interiors cannot interact, but one of the geometries must have a boundary point that interacts with either the other geometry's interior or boundary.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 l1 = GI.Line([(0.0, 0.0), (1.0, 0.0)])
 l2 = GI.Line([(1.0, 1.0), (1.0, -1.0)])
 
 GO.touches(l1, l2)
 # output
-true

source


# GeometryOps.transform — Method.
julia
transform(f, obj)

Apply a function f to all the points in obj.

Points will be passed to f as an SVector to allow using CoordinateTransformations.jl and Rotations.jl without hassle.

SVector is also a valid GeoInterface.jl point, so will work in all GeoInterface.jl methods.

Example

julia
julia> import GeoInterface as GI
+true

source

`,5))]),i("details",di,[i("summary",null,[s[531]||(s[531]=i("a",{id:"GeometryOps.transform-Tuple{Any, Any}",href:"#GeometryOps.transform-Tuple{Any, Any}"},"#",-1)),s[532]||(s[532]=a()),s[533]||(s[533]=i("span",{class:"jlbinding"},"GeometryOps.transform",-1)),s[534]||(s[534]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[535]||(s[535]=t(`
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
 
@@ -378,7 +376,7 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearR
 ing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVe
 ctor{2, Int64}[[2, 1], [4, 3], [6, 5], [2, 1]], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{StaticArraysCore.SVector{2, Int64}}, Nothing, Nothing}(StaticArraysCore.SVector{2, Int64
-}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)

source


# GeometryOps.tuples — Method.
julia
tuples(obj)

Convert all points in obj to Tuples, wherever the are nested.

Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.

Keywords

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

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

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

source


# GeometryOps.union — Method.
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.

Calculates the union between two polygons.

Example

julia
import GeoInterface as GI, GeometryOps as GO
+}[[4, 3], [6, 5], [7, 6], [4, 3]], nothing, nothing)], nothing, nothing)

source

`,9))]),i("details",gi,[i("summary",null,[s[536]||(s[536]=i("a",{id:"GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T",href:"#GeometryOps.tuples-Union{Tuple{Any}, Tuple{T}, Tuple{Any, Type{T}}} where T"},"#",-1)),s[537]||(s[537]=a()),s[538]||(s[538]=i("span",{class:"jlbinding"},"GeometryOps.tuples",-1)),s[539]||(s[539]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[540]||(s[540]=t('
julia
tuples(obj)

Convert all points in obj to Tuples, wherever the are nested.

Returns a similar object or collection of objects using GeoInterface.jl geometries wrapping Tuple points.

Keywords

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

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

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

source

',6))]),i("details",yi,[i("summary",null,[s[541]||(s[541]=i("a",{id:"GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat",href:"#GeometryOps.union-Union{Tuple{T}, Tuple{Any, Any}, Tuple{Any, Any, Type{T}}} where T<:AbstractFloat"},"#",-1)),s[542]||(s[542]=a()),s[543]||(s[543]=i("span",{class:"jlbinding"},"GeometryOps.union",-1)),s[544]||(s[544]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[545]||(s[545]=t(`
julia
union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())

Return the union between two geometries as a list of geometries. Return an empty list if none are found. The type of the list will be constrained as much as possible given the input geometries. Furthermore, the user can provide a taget type as a keyword argument and a list of target geometries found in the difference will be returned. The user can also provide a float type 'T' that they would like the points of returned geometries to be. If the user is taking a intersection involving one or more multipolygons, and the multipolygon might be comprised of polygons that intersect, if fix_multipoly is set to an IntersectingPolygons correction (the default is UnionIntersectingPolygons()), then the needed multipolygons will be fixed to be valid before performing the intersection to ensure a correct answer. Only set fix_multipoly to false if you know that the multipolygons are valid, as it will avoid unneeded computation.

Calculates the union between two polygons.

Example

julia
import GeoInterface as GI, GeometryOps as GO
 
 p1 = GI.Polygon([[(0.0, 0.0), (5.0, 5.0), (10.0, 0.0), (5.0, -5.0), (0.0, 0.0)]])
 p2 = GI.Polygon([[(3.0, 0.0), (8.0, 5.0), (13.0, 0.0), (8.0, -5.0), (3.0, 0.0)]])
@@ -387,12 +385,12 @@ import{_ as n,c as e,a5 as a,j as s,o as t}from"./chunks/framework.BTiM8YUm.js";
 
 # output
 1-element Vector{Vector{Vector{Vector{Float64}}}}:
- [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]

source


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

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

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

source


# GeometryOps.weighted_mean — Method.
julia
weighted_mean(weight::Real, x1, x2)

Returns the weighted mean of x1 and x2, where weight is the weight of x1.

Specifically, calculates x1 * weight + x2 * (1 - weight).

Note

The idea for this method is that you can override this for custom types, like Color types, in extension modules.

source


# GeometryOps.within — Method.
julia
within(geom1, geom2)::Bool

Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).

Furthermore, within returns the exact opposite result of contains.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
+ [[[6.5, 3.5], [5.0, 5.0], [0.0, 0.0], [5.0, -5.0], [6.5, -3.5], [8.0, -5.0], [13.0, 0.0], [8.0, 5.0], [6.5, 3.5]]]

source

`,6))]),i("details",Ei,[i("summary",null,[s[546]||(s[546]=i("a",{id:"GeometryOps.unwrap",href:"#GeometryOps.unwrap"},"#",-1)),s[547]||(s[547]=a()),s[548]||(s[548]=i("span",{class:"jlbinding"},"GeometryOps.unwrap",-1)),s[549]||(s[549]=a()),n(e,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[550]||(s[550]=t(`
julia
unwrap(target::Type{<:AbstractTrait}, obj)
+unwrap(f, target::Type{<:AbstractTrait}, obj)

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

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

source

`,4))]),i("details",ci,[i("summary",null,[s[551]||(s[551]=i("a",{id:"GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real",href:"#GeometryOps.weighted_mean-Union{Tuple{WT}, Tuple{WT, Any, Any}} where WT<:Real"},"#",-1)),s[552]||(s[552]=a()),s[553]||(s[553]=i("span",{class:"jlbinding"},"GeometryOps.weighted_mean",-1)),s[554]||(s[554]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[555]||(s[555]=t('
julia
weighted_mean(weight::Real, x1, x2)

Returns the weighted mean of x1 and x2, where weight is the weight of x1.

Specifically, calculates x1 * weight + x2 * (1 - weight).

Note

The idea for this method is that you can override this for custom types, like Color types, in extension modules.

source

',5))]),i("details",ui,[i("summary",null,[s[556]||(s[556]=i("a",{id:"GeometryOps.within-Tuple{Any, Any}",href:"#GeometryOps.within-Tuple{Any, Any}"},"#",-1)),s[557]||(s[557]=a()),s[558]||(s[558]=i("span",{class:"jlbinding"},"GeometryOps.within",-1)),s[559]||(s[559]=a()),n(e,{type:"info",class:"jlObjectType jlMethod",text:"Method"})]),s[560]||(s[560]=t(`
julia
within(geom1, geom2)::Bool

Return true if the first geometry is completely within the second geometry. The interiors of both geometries must intersect and the interior and boundary of the primary geometry (geom1) must not intersect the exterior of the secondary geometry (geom2).

Furthermore, within returns the exact opposite result of contains.

Examples

julia
import GeometryOps as GO, GeoInterface as GI
 
 line = GI.LineString([(1, 1), (1, 2), (1, 3), (1, 4)])
 point = (1, 2)
 GO.within(point, line)
 
 # output
-true

source


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

`,17))])}const C=n(l,[["render",g]]);export{b as __pageData,C as default}; +true

source

`,6))]),s[567]||(s[567]=t('

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

',2))])}const Ai=h(r,[["render",mi]]);export{Gi as __pageData,Ai as default}; diff --git a/previews/PR206/assets/app.DTbf5iLy.js b/previews/PR206/assets/app.CquH2Hfw.js similarity index 95% rename from previews/PR206/assets/app.DTbf5iLy.js rename to previews/PR206/assets/app.CquH2Hfw.js index c4266b26e..2e061615e 100644 --- a/previews/PR206/assets/app.DTbf5iLy.js +++ b/previews/PR206/assets/app.CquH2Hfw.js @@ -1 +1 @@ -import{R as p}from"./chunks/theme.24Uyyzth.js";import{R as o,a6 as u,a7 as c,a8 as l,a9 as f,aa as d,ab as m,ac as h,ad as g,ae as A,af as v,d as P,u as R,v as w,s as y,ag as C,ah as b,ai as E,a4 as S}from"./chunks/framework.BTiM8YUm.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(p),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=R();return w(()=>{y(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),b(),E(),s.setup&&s.setup(),()=>S(s.Layout)}});async function D(){globalThis.__VITEPRESS__=!0;const e=j(),a=_();a.provide(c,e);const t=l(e.route);return a.provide(f,t),a.component("Content",d),a.component("ClientOnly",m),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:h}),{app:a,router:e,data:t}}function _(){return g(T)}function j(){let e=o,a;return A(t=>{let n=v(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&D().then(({app:e,router:a,data:t})=>{a.go().then(()=>{u(a.route,t.site),e.mount("#app")})});export{D as createApp}; +import{R as p}from"./chunks/theme.CHrQ3t9d.js";import{R as o,a6 as u,a7 as c,a8 as l,a9 as f,aa as d,ab as m,ac as 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Predicates ​

Exact vs fast predicates

Orient ​

julia
using CairoMakie
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Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
diff --git a/previews/PR206/assets/experiments_predicates.md.CpjUc3OV.lean.js b/previews/PR206/assets/experiments_predicates.md.C-qzCNLQ.lean.js
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Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
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Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
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rename to previews/PR206/assets/orlxztb.D5-bot8v.png
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diff --git a/previews/PR206/assets/odiuimq.3UVIT8DR.png b/previews/PR206/assets/ryzpiqp.3UVIT8DR.png
similarity index 100%
rename from previews/PR206/assets/odiuimq.3UVIT8DR.png
rename to previews/PR206/assets/ryzpiqp.3UVIT8DR.png
diff --git a/previews/PR206/assets/source_methods_angles.md.B1-STZd4.js b/previews/PR206/assets/source_methods_angles.md.D5qNYsxs.js
similarity index 99%
rename from previews/PR206/assets/source_methods_angles.md.B1-STZd4.js
rename to previews/PR206/assets/source_methods_angles.md.D5qNYsxs.js
index ad2498126..e46a5e702 100644
--- a/previews/PR206/assets/source_methods_angles.md.B1-STZd4.js
+++ b/previews/PR206/assets/source_methods_angles.md.D5qNYsxs.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/svfsviv.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/dipeggf.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Angles ​
julia
export angles
What is angles? ​
Angles are the angles formed by a given geometries line segments, if it has line segments.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie, CairoMakie
 
diff --git a/previews/PR206/assets/source_methods_angles.md.B1-STZd4.lean.js b/previews/PR206/assets/source_methods_angles.md.D5qNYsxs.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_angles.md.B1-STZd4.lean.js
rename to previews/PR206/assets/source_methods_angles.md.D5qNYsxs.lean.js
index ad2498126..e46a5e702 100644
--- a/previews/PR206/assets/source_methods_angles.md.B1-STZd4.lean.js
+++ b/previews/PR206/assets/source_methods_angles.md.D5qNYsxs.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/svfsviv.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/dipeggf.Dig-DWOQ.png",y=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),k={name:"source/methods/angles.md"};function t(p,s,e,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Angles ​
julia
export angles
What is angles? ​
Angles are the angles formed by a given geometries line segments, if it has line segments.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie, CairoMakie
 
diff --git a/previews/PR206/assets/source_methods_area.md.BcbA4w64.js b/previews/PR206/assets/source_methods_area.md.BfsfW_YM.js
similarity index 99%
rename from previews/PR206/assets/source_methods_area.md.BcbA4w64.js
rename to previews/PR206/assets/source_methods_area.md.BfsfW_YM.js
index 696d773c9..e17040ef5 100644
--- a/previews/PR206/assets/source_methods_area.md.BcbA4w64.js
+++ b/previews/PR206/assets/source_methods_area.md.BfsfW_YM.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/svfsviv.Dig-DWOQ.png",e="/GeometryOps.jl/previews/PR206/assets/txtxjhm.CULn5saZ.png",y=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/dipeggf.Dig-DWOQ.png",e="/GeometryOps.jl/previews/PR206/assets/esfytfr.CULn5saZ.png",o=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return h(),a("div",null,s[0]||(s[0]=[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
@@ -84,4 +84,4 @@ import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t
     end
Complete the last edge. If the first and last where the same this will be zero
julia
    p2 = pfirst
     area += _area_component(p1, p2)
     return T(area / 2)
-end
This page was generated using Literate.jl.
`,40)]))}const F=i(l,[["render",p]]);export{y as __pageData,F as default};
+end
This page was generated using Literate.jl.
`,40)]))}const F=i(l,[["render",p]]);export{o as __pageData,F as default};
diff --git a/previews/PR206/assets/source_methods_area.md.BcbA4w64.lean.js b/previews/PR206/assets/source_methods_area.md.BfsfW_YM.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_area.md.BcbA4w64.lean.js
rename to previews/PR206/assets/source_methods_area.md.BfsfW_YM.lean.js
index 696d773c9..e17040ef5 100644
--- a/previews/PR206/assets/source_methods_area.md.BcbA4w64.lean.js
+++ b/previews/PR206/assets/source_methods_area.md.BfsfW_YM.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/svfsviv.Dig-DWOQ.png",e="/GeometryOps.jl/previews/PR206/assets/txtxjhm.CULn5saZ.png",y=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/dipeggf.Dig-DWOQ.png",e="/GeometryOps.jl/previews/PR206/assets/esfytfr.CULn5saZ.png",o=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),l={name:"source/methods/area.md"};function p(k,s,r,d,g,E){return h(),a("div",null,s[0]||(s[0]=[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
@@ -84,4 +84,4 @@ import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t
     end
Complete the last edge. If the first and last where the same this will be zero
julia
    p2 = pfirst
     area += _area_component(p1, p2)
     return T(area / 2)
-end
This page was generated using Literate.jl.
`,40)]))}const F=i(l,[["render",p]]);export{y as __pageData,F as default};
+end
This page was generated using Literate.jl.
`,40)]))}const F=i(l,[["render",p]]);export{o as __pageData,F as default};
diff --git a/previews/PR206/assets/source_methods_barycentric.md.DUV4hzrD.lean.js b/previews/PR206/assets/source_methods_barycentric.md.D-N7Zuuf.js
similarity index 99%
rename from previews/PR206/assets/source_methods_barycentric.md.DUV4hzrD.lean.js
rename to previews/PR206/assets/source_methods_barycentric.md.D-N7Zuuf.js
index bd1255750..219287bda 100644
--- a/previews/PR206/assets/source_methods_barycentric.md.DUV4hzrD.lean.js
+++ b/previews/PR206/assets/source_methods_barycentric.md.D-N7Zuuf.js
@@ -1,4 +1,4 @@
-import{_ as k,c as n,a5 as t,j as s,a,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/ytirgsm.CZy9YIUA.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
+import{_ as k,c as n,a5 as t,j as s,a,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/hiiucxx.CZy9YIUA.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
 export MeanValue
Generalized barycentric coordinates are a generalization of barycentric coordinates, which are typically used in triangles, to arbitrary polygons.
They provide a way to express a point within a polygon as a weighted average of the polygon's vertices.
`,4)),s("p",null,[i[2]||(i[2]=a("In the case of a triangle, barycentric coordinates are a set of three numbers ")),s("mjx-container",e,[(h(),n("svg",E,i[0]||(i[0]=[t('',1)]))),i[1]||(i[1]=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"3")]),s("mo",{stretchy:"false"},")")])],-1))]),i[3]||(i[3]=a(", each associated with a vertex of the triangle. Any point within the triangle can be expressed as a weighted average of the vertices, where the weights are the barycentric coordinates. The weights sum to 1, and each is non-negative."))]),s("p",null,[i[10]||(i[10]=a("For a polygon with ")),s("mjx-container",r,[(h(),n("svg",d,i[4]||(i[4]=[s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1)]))),i[5]||(i[5]=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1))]),i[11]||(i[11]=a(" vertices, generalized barycentric coordinates are a set of ")),s("mjx-container",g,[(h(),n("svg",y,i[6]||(i[6]=[s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1)]))),i[7]||(i[7]=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1))]),i[12]||(i[12]=a(" numbers ")),s("mjx-container",F,[(h(),n("svg",o,i[8]||(i[8]=[t('',1)]))),i[9]||(i[9]=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1))]),i[13]||(i[13]=a(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates."))]),i[15]||(i[15]=t(`
As with the triangle case, the weights sum to 1, and each is non-negative.
Example ​
This example was taken from this page of CGAL's documentation.
julia
using GeometryOps
 using GeometryOps.GeometryBasics
 using Makie
diff --git a/previews/PR206/assets/source_methods_barycentric.md.DUV4hzrD.js b/previews/PR206/assets/source_methods_barycentric.md.D-N7Zuuf.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_barycentric.md.DUV4hzrD.js
rename to previews/PR206/assets/source_methods_barycentric.md.D-N7Zuuf.lean.js
index bd1255750..219287bda 100644
--- a/previews/PR206/assets/source_methods_barycentric.md.DUV4hzrD.js
+++ b/previews/PR206/assets/source_methods_barycentric.md.D-N7Zuuf.lean.js
@@ -1,4 +1,4 @@
-import{_ as k,c as n,a5 as t,j as s,a,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/ytirgsm.CZy9YIUA.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
+import{_ as k,c as n,a5 as t,j as s,a,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/hiiucxx.CZy9YIUA.png",m=JSON.parse('{"title":"Barycentric coordinates","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/barycentric.md","filePath":"source/methods/barycentric.md","lastUpdated":null}'),p={name:"source/methods/barycentric.md"},e={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.692ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4726 1000","aria-hidden":"true"},r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},g={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},y={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"1.357ex",height:"1.025ex",role:"img",focusable:"false",viewBox:"0 -442 600 453","aria-hidden":"true"},F={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"14.876ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 6575.4 1000","aria-hidden":"true"};function C(c,i,B,A,D,u){return h(),n("div",null,[i[14]||(i[14]=t(`
Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
 export MeanValue
Generalized barycentric coordinates are a generalization of barycentric coordinates, which are typically used in triangles, to arbitrary polygons.
They provide a way to express a point within a polygon as a weighted average of the polygon's vertices.
`,4)),s("p",null,[i[2]||(i[2]=a("In the case of a triangle, barycentric coordinates are a set of three numbers ")),s("mjx-container",e,[(h(),n("svg",E,i[0]||(i[0]=[t('',1)]))),i[1]||(i[1]=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"3")]),s("mo",{stretchy:"false"},")")])],-1))]),i[3]||(i[3]=a(", each associated with a vertex of the triangle. Any point within the triangle can be expressed as a weighted average of the vertices, where the weights are the barycentric coordinates. The weights sum to 1, and each is non-negative."))]),s("p",null,[i[10]||(i[10]=a("For a polygon with ")),s("mjx-container",r,[(h(),n("svg",d,i[4]||(i[4]=[s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1)]))),i[5]||(i[5]=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1))]),i[11]||(i[11]=a(" vertices, generalized barycentric coordinates are a set of ")),s("mjx-container",g,[(h(),n("svg",y,i[6]||(i[6]=[s("g",{stroke:"currentColor",fill:"currentColor","stroke-width":"0",transform:"scale(1,-1)"},[s("g",{"data-mml-node":"math"},[s("g",{"data-mml-node":"mi"},[s("path",{"data-c":"1D45B",d:"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z",style:{"stroke-width":"3"}})])])],-1)]))),i[7]||(i[7]=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"n")])],-1))]),i[12]||(i[12]=a(" numbers ")),s("mjx-container",F,[(h(),n("svg",o,i[8]||(i[8]=[t('',1)]))),i[9]||(i[9]=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"λ"),s("mn",null,"1")]),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mn",null,"2")]),s("mo",null,","),s("mo",null,"."),s("mo",null,"."),s("mo",null,"."),s("mo",null,","),s("msub",null,[s("mi",null,"λ"),s("mi",null,"n")]),s("mo",{stretchy:"false"},")")])],-1))]),i[13]||(i[13]=a(", each associated with a vertex of the polygon. Any point within the polygon can be expressed as a weighted average of the vertices, where the weights are the generalized barycentric coordinates."))]),i[15]||(i[15]=t(`
As with the triangle case, the weights sum to 1, and each is non-negative.
Example ​
This example was taken from this page of CGAL's documentation.
julia
using GeometryOps
 using GeometryOps.GeometryBasics
 using Makie
diff --git a/previews/PR206/assets/source_methods_centroid.md.CPX0MIF9.js b/previews/PR206/assets/source_methods_centroid.md.BmvkePnE.js
similarity index 99%
rename from previews/PR206/assets/source_methods_centroid.md.CPX0MIF9.js
rename to previews/PR206/assets/source_methods_centroid.md.BmvkePnE.js
index 4e65828b4..5854c2b48 100644
--- a/previews/PR206/assets/source_methods_centroid.md.CPX0MIF9.js
+++ b/previews/PR206/assets/source_methods_centroid.md.BmvkePnE.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/bljowdi.BD0hVfse.png",k="/GeometryOps.jl/previews/PR206/assets/yyikzlu.DHcwB147.png",o=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"};function p(e,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/rnwsads.BD0hVfse.png",k="/GeometryOps.jl/previews/PR206/assets/ardlosa.DHcwB147.png",o=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"};function p(e,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Centroid ​
julia
export centroid, centroid_and_length, centroid_and_area
What is the centroid? ​
The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.
Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge's by their 'area components'.
To provide an example, consider this concave polygon in the shape of a 'C':
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_methods_centroid.md.CPX0MIF9.lean.js b/previews/PR206/assets/source_methods_centroid.md.BmvkePnE.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_centroid.md.CPX0MIF9.lean.js
rename to previews/PR206/assets/source_methods_centroid.md.BmvkePnE.lean.js
index 4e65828b4..5854c2b48 100644
--- a/previews/PR206/assets/source_methods_centroid.md.CPX0MIF9.lean.js
+++ b/previews/PR206/assets/source_methods_centroid.md.BmvkePnE.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/bljowdi.BD0hVfse.png",k="/GeometryOps.jl/previews/PR206/assets/yyikzlu.DHcwB147.png",o=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"};function p(e,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/rnwsads.BD0hVfse.png",k="/GeometryOps.jl/previews/PR206/assets/ardlosa.DHcwB147.png",o=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"};function p(e,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Centroid ​
julia
export centroid, centroid_and_length, centroid_and_area
What is the centroid? ​
The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.
Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge's by their 'area components'.
To provide an example, consider this concave polygon in the shape of a 'C':
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_methods_clipping_coverage.md.DCAK_SSg.js b/previews/PR206/assets/source_methods_clipping_coverage.md.BzXIOoc2.js
similarity index 99%
rename from previews/PR206/assets/source_methods_clipping_coverage.md.DCAK_SSg.js
rename to previews/PR206/assets/source_methods_clipping_coverage.md.BzXIOoc2.js
index e340ce216..1fa9b4614 100644
--- a/previews/PR206/assets/source_methods_clipping_coverage.md.DCAK_SSg.js
+++ b/previews/PR206/assets/source_methods_clipping_coverage.md.BzXIOoc2.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/cjsnswd.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/cikfefu.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_clipping_coverage.md.DCAK_SSg.lean.js b/previews/PR206/assets/source_methods_clipping_coverage.md.BzXIOoc2.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_clipping_coverage.md.DCAK_SSg.lean.js
rename to previews/PR206/assets/source_methods_clipping_coverage.md.BzXIOoc2.lean.js
index e340ce216..1fa9b4614 100644
--- a/previews/PR206/assets/source_methods_clipping_coverage.md.DCAK_SSg.lean.js
+++ b/previews/PR206/assets/source_methods_clipping_coverage.md.BzXIOoc2.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/cjsnswd.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/cikfefu.Cb0_DiYE.png",y=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),k={name:"source/methods/clipping/coverage.md"};function p(t,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_clipping_cut.md.CTRjKJaW.js b/previews/PR206/assets/source_methods_clipping_cut.md.C3S7wVB2.js
similarity index 99%
rename from previews/PR206/assets/source_methods_clipping_cut.md.CTRjKJaW.js
rename to previews/PR206/assets/source_methods_clipping_cut.md.C3S7wVB2.js
index f3186a579..a5de894bc 100644
--- a/previews/PR206/assets/source_methods_clipping_cut.md.CTRjKJaW.js
+++ b/previews/PR206/assets/source_methods_clipping_cut.md.C3S7wVB2.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/xhnizrw.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/gwrlgyk.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return h(),a("div",null,s[0]||(s[0]=[n(`
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
 using CairoMakie
 using Makie
 
diff --git a/previews/PR206/assets/source_methods_clipping_cut.md.CTRjKJaW.lean.js b/previews/PR206/assets/source_methods_clipping_cut.md.C3S7wVB2.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_clipping_cut.md.CTRjKJaW.lean.js
rename to previews/PR206/assets/source_methods_clipping_cut.md.C3S7wVB2.lean.js
index f3186a579..a5de894bc 100644
--- a/previews/PR206/assets/source_methods_clipping_cut.md.CTRjKJaW.lean.js
+++ b/previews/PR206/assets/source_methods_clipping_cut.md.C3S7wVB2.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/xhnizrw.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/gwrlgyk.-VpeHhXX.png",y=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),l={name:"source/methods/clipping/cut.md"};function p(k,s,e,r,E,d){return h(),a("div",null,s[0]||(s[0]=[n(`
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
 using CairoMakie
 using Makie
 
diff --git a/previews/PR206/assets/source_methods_convex_hull.md.CUkJ6Dyj.js b/previews/PR206/assets/source_methods_convex_hull.md.BBqoxI84.js
similarity index 99%
rename from previews/PR206/assets/source_methods_convex_hull.md.CUkJ6Dyj.js
rename to previews/PR206/assets/source_methods_convex_hull.md.BBqoxI84.js
index 836966974..12f2be793 100644
--- a/previews/PR206/assets/source_methods_convex_hull.md.CUkJ6Dyj.js
+++ b/previews/PR206/assets/source_methods_convex_hull.md.BBqoxI84.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/jhluagx.DHIkV4kO.png",t="/GeometryOps.jl/previews/PR206/assets/paaxbza.mCtKcWOr.png",e="/GeometryOps.jl/previews/PR206/assets/cwabwld.DY3EB5Sj.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return l(),a("div",null,s[0]||(s[0]=[n(`
Convex hull ​
The convex hull of a set of points is the smallest convex polygon that contains all the points.
GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
Example ​
Simple hull ​
julia
import GeometryOps as GO, GeoInterface as GI
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/cmemoml.Bb-QxdSc.png",h="/GeometryOps.jl/previews/PR206/assets/ujydqhm.mCtKcWOr.png",e="/GeometryOps.jl/previews/PR206/assets/pkqteye.CVCmBiVv.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return l(),a("div",null,s[0]||(s[0]=[n(`
Convex hull ​
The convex hull of a set of points is the smallest convex polygon that contains all the points.
GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
Example ​
Simple hull ​
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 
 points = randn(GO.Point2f, 100)
@@ -6,7 +6,7 @@ import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const h
 hull_poly = GO.convex_hull(points)
 lines!(a, hull_poly; label = "Convex hull", color = Makie.wong_colors()[2])
 axislegend(a)
-f
Convex hull of the USA ​
julia
import GeometryOps as GO, GeoInterface as GI
+f
Convex hull of the USA ​
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 using NaturalEarth # for data
 
@@ -14,7 +14,7 @@ import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const h
 usa = all_adm0.geometry[findfirst(==("USA"), all_adm0.ADM0_A3)]
 f, a, p = lines(usa)
 lines!(a, GO.convex_hull(usa); color = Makie.wong_colors()[2])
-f
Investigating the winding order ​
The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.
GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.
In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!
We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...
julia
import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
+f
Investigating the winding order ​
The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.
GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.
In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!
We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...
julia
import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
 using CairoMakie # to plot
 
 points = rand(Point2{Float64}, 100)
diff --git a/previews/PR206/assets/source_methods_convex_hull.md.CUkJ6Dyj.lean.js b/previews/PR206/assets/source_methods_convex_hull.md.BBqoxI84.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_convex_hull.md.CUkJ6Dyj.lean.js
rename to previews/PR206/assets/source_methods_convex_hull.md.BBqoxI84.lean.js
index 836966974..12f2be793 100644
--- a/previews/PR206/assets/source_methods_convex_hull.md.CUkJ6Dyj.lean.js
+++ b/previews/PR206/assets/source_methods_convex_hull.md.BBqoxI84.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/jhluagx.DHIkV4kO.png",t="/GeometryOps.jl/previews/PR206/assets/paaxbza.mCtKcWOr.png",e="/GeometryOps.jl/previews/PR206/assets/cwabwld.DY3EB5Sj.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return l(),a("div",null,s[0]||(s[0]=[n(`
Convex hull ​
The convex hull of a set of points is the smallest convex polygon that contains all the points.
GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
Example ​
Simple hull ​
julia
import GeometryOps as GO, GeoInterface as GI
+import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/cmemoml.Bb-QxdSc.png",h="/GeometryOps.jl/previews/PR206/assets/ujydqhm.mCtKcWOr.png",e="/GeometryOps.jl/previews/PR206/assets/pkqteye.CVCmBiVv.png",c=JSON.parse('{"title":"Convex hull","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/convex_hull.md","filePath":"source/methods/convex_hull.md","lastUpdated":null}'),p={name:"source/methods/convex_hull.md"};function k(r,s,o,d,E,g){return l(),a("div",null,s[0]||(s[0]=[n(`
Convex hull ​
The convex hull of a set of points is the smallest convex polygon that contains all the points.
GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
Example ​
Simple hull ​
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 
 points = randn(GO.Point2f, 100)
@@ -6,7 +6,7 @@ import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const h
 hull_poly = GO.convex_hull(points)
 lines!(a, hull_poly; label = "Convex hull", color = Makie.wong_colors()[2])
 axislegend(a)
-f
Convex hull of the USA ​
julia
import GeometryOps as GO, GeoInterface as GI
+f
Convex hull of the USA ​
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 using NaturalEarth # for data
 
@@ -14,7 +14,7 @@ import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const h
 usa = all_adm0.geometry[findfirst(==("USA"), all_adm0.ADM0_A3)]
 f, a, p = lines(usa)
 lines!(a, GO.convex_hull(usa); color = Makie.wong_colors()[2])
-f
Investigating the winding order ​
The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.
GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.
In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!
We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...
julia
import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
+f
Investigating the winding order ​
The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.
GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.
In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!
We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...
julia
import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
 using CairoMakie # to plot
 
 points = rand(Point2{Float64}, 100)
diff --git a/previews/PR206/assets/source_methods_distance.md.guzV0xy7.js b/previews/PR206/assets/source_methods_distance.md.B4KGpAGP.js
similarity index 99%
rename from previews/PR206/assets/source_methods_distance.md.guzV0xy7.js
rename to previews/PR206/assets/source_methods_distance.md.B4KGpAGP.js
index f3cbba6b3..e76c6b86d 100644
--- a/previews/PR206/assets/source_methods_distance.md.guzV0xy7.js
+++ b/previews/PR206/assets/source_methods_distance.md.B4KGpAGP.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/bwarfhz.DiwGEg2f.png",k="/GeometryOps.jl/previews/PR206/assets/erauvzk.DuBHk1fh.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return h(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/kvapazg.DiwGEg2f.png",k="/GeometryOps.jl/previews/PR206/assets/hxpbsii.DuBHk1fh.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return h(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_distance.md.guzV0xy7.lean.js b/previews/PR206/assets/source_methods_distance.md.B4KGpAGP.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_distance.md.guzV0xy7.lean.js
rename to previews/PR206/assets/source_methods_distance.md.B4KGpAGP.lean.js
index f3cbba6b3..e76c6b86d 100644
--- a/previews/PR206/assets/source_methods_distance.md.guzV0xy7.lean.js
+++ b/previews/PR206/assets/source_methods_distance.md.B4KGpAGP.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/bwarfhz.DiwGEg2f.png",k="/GeometryOps.jl/previews/PR206/assets/erauvzk.DuBHk1fh.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return h(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/kvapazg.DiwGEg2f.png",k="/GeometryOps.jl/previews/PR206/assets/hxpbsii.DuBHk1fh.png",F=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),p={name:"source/methods/distance.md"};function l(e,s,d,E,r,g){return h(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_equals.md.Fj1iDJXw.js b/previews/PR206/assets/source_methods_equals.md.CW60Gw8N.js
similarity index 99%
rename from previews/PR206/assets/source_methods_equals.md.Fj1iDJXw.js
rename to previews/PR206/assets/source_methods_equals.md.CW60Gw8N.js
index 25cd849f4..6d2b488c9 100644
--- a/previews/PR206/assets/source_methods_equals.md.Fj1iDJXw.js
+++ b/previews/PR206/assets/source_methods_equals.md.CW60Gw8N.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/fjirosq.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return l(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/nupdfgr.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`
Equals ​
julia
export equals
What is equals? ​
The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_methods_equals.md.Fj1iDJXw.lean.js b/previews/PR206/assets/source_methods_equals.md.CW60Gw8N.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_equals.md.Fj1iDJXw.lean.js
rename to previews/PR206/assets/source_methods_equals.md.CW60Gw8N.lean.js
index 25cd849f4..6d2b488c9 100644
--- a/previews/PR206/assets/source_methods_equals.md.Fj1iDJXw.lean.js
+++ b/previews/PR206/assets/source_methods_equals.md.CW60Gw8N.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/fjirosq.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return l(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/nupdfgr.CgiryX2p.png",F=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),p={name:"source/methods/equals.md"};function h(k,s,e,r,d,g){return l(),a("div",null,s[0]||(s[0]=[n(`
Equals ​
julia
export equals
What is equals? ​
The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_methods_geom_relations_contains.md.BrdWw0eV.js b/previews/PR206/assets/source_methods_geom_relations_contains.md.zDfupcna.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_contains.md.BrdWw0eV.js
rename to previews/PR206/assets/source_methods_geom_relations_contains.md.zDfupcna.js
index ba473e7d7..329e25f8e 100644
--- a/previews/PR206/assets/source_methods_geom_relations_contains.md.BrdWw0eV.js
+++ b/previews/PR206/assets/source_methods_geom_relations_contains.md.zDfupcna.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const e="/GeometryOps.jl/previews/PR206/assets/esapwdw._0R9BbFk.png",E=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return t(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const e="/GeometryOps.jl/previews/PR206/assets/jrjrpvw._0R9BbFk.png",E=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return t(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_geom_relations_contains.md.BrdWw0eV.lean.js b/previews/PR206/assets/source_methods_geom_relations_contains.md.zDfupcna.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_contains.md.BrdWw0eV.lean.js
rename to previews/PR206/assets/source_methods_geom_relations_contains.md.zDfupcna.lean.js
index ba473e7d7..329e25f8e 100644
--- a/previews/PR206/assets/source_methods_geom_relations_contains.md.BrdWw0eV.lean.js
+++ b/previews/PR206/assets/source_methods_geom_relations_contains.md.zDfupcna.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const e="/GeometryOps.jl/previews/PR206/assets/esapwdw._0R9BbFk.png",E=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return t(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const e="/GeometryOps.jl/previews/PR206/assets/jrjrpvw._0R9BbFk.png",E=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/contains.md"};function l(p,s,k,r,o,d){return t(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_geom_relations_coveredby.md.Ddx8640A.js b/previews/PR206/assets/source_methods_geom_relations_coveredby.md.BdwK2Fd4.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_coveredby.md.Ddx8640A.js
rename to previews/PR206/assets/source_methods_geom_relations_coveredby.md.BdwK2Fd4.js
index 9815cf671..fab86d0c3 100644
--- a/previews/PR206/assets/source_methods_geom_relations_coveredby.md.Ddx8640A.js
+++ b/previews/PR206/assets/source_methods_geom_relations_coveredby.md.BdwK2Fd4.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/kqtfnqh.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return e(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as e}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/pgkqmll.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return e(),a("div",null,s[0]||(s[0]=[n(`
CoveredBy ​
julia
export coveredby
What is coveredby? ​
The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn't outside of the second geometry.
To provide an example, consider this point and line:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_methods_geom_relations_coveredby.md.Ddx8640A.lean.js b/previews/PR206/assets/source_methods_geom_relations_coveredby.md.BdwK2Fd4.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_coveredby.md.Ddx8640A.lean.js
rename to previews/PR206/assets/source_methods_geom_relations_coveredby.md.BdwK2Fd4.lean.js
index 9815cf671..fab86d0c3 100644
--- a/previews/PR206/assets/source_methods_geom_relations_coveredby.md.Ddx8640A.lean.js
+++ b/previews/PR206/assets/source_methods_geom_relations_coveredby.md.BdwK2Fd4.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as e}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/kqtfnqh.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return e(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as e}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/pgkqmll.DC3TvBOO.png",o=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/coveredby.md"};function t(p,s,k,r,E,d){return e(),a("div",null,s[0]||(s[0]=[n(`
CoveredBy ​
julia
export coveredby
What is coveredby? ​
The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn't outside of the second geometry.
To provide an example, consider this point and line:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_methods_geom_relations_covers.md.D4mRzL8Y.js b/previews/PR206/assets/source_methods_geom_relations_covers.md.znjyFsD_.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_covers.md.D4mRzL8Y.js
rename to previews/PR206/assets/source_methods_geom_relations_covers.md.znjyFsD_.js
index 9be46bff0..c924268dc 100644
--- a/previews/PR206/assets/source_methods_geom_relations_covers.md.D4mRzL8Y.js
+++ b/previews/PR206/assets/source_methods_geom_relations_covers.md.znjyFsD_.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/kqtfnqh.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/pgkqmll.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_geom_relations_covers.md.D4mRzL8Y.lean.js b/previews/PR206/assets/source_methods_geom_relations_covers.md.znjyFsD_.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_covers.md.D4mRzL8Y.lean.js
rename to previews/PR206/assets/source_methods_geom_relations_covers.md.znjyFsD_.lean.js
index 9be46bff0..c924268dc 100644
--- a/previews/PR206/assets/source_methods_geom_relations_covers.md.D4mRzL8Y.lean.js
+++ b/previews/PR206/assets/source_methods_geom_relations_covers.md.znjyFsD_.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/kqtfnqh.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/pgkqmll.DC3TvBOO.png",g=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/covers.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_geom_relations_disjoint.md.tcNuQFKm.js b/previews/PR206/assets/source_methods_geom_relations_disjoint.md.DEHUMHfN.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_disjoint.md.tcNuQFKm.js
rename to previews/PR206/assets/source_methods_geom_relations_disjoint.md.DEHUMHfN.js
index 9ffc342ad..09dc1d9de 100644
--- a/previews/PR206/assets/source_methods_geom_relations_disjoint.md.tcNuQFKm.js
+++ b/previews/PR206/assets/source_methods_geom_relations_disjoint.md.DEHUMHfN.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/dedkivo.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return t(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/ammozof.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`
Disjoint ​
julia
export disjoint
What is disjoint? ​
The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_methods_geom_relations_disjoint.md.tcNuQFKm.lean.js b/previews/PR206/assets/source_methods_geom_relations_disjoint.md.DEHUMHfN.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_disjoint.md.tcNuQFKm.lean.js
rename to previews/PR206/assets/source_methods_geom_relations_disjoint.md.DEHUMHfN.lean.js
index 9ffc342ad..09dc1d9de 100644
--- a/previews/PR206/assets/source_methods_geom_relations_disjoint.md.tcNuQFKm.lean.js
+++ b/previews/PR206/assets/source_methods_geom_relations_disjoint.md.DEHUMHfN.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/dedkivo.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return t(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/ammozof.C3SxJ3x-.png",o=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/disjoint.md"};function p(k,s,e,r,E,g){return t(),a("div",null,s[0]||(s[0]=[n(`
Disjoint ​
julia
export disjoint
What is disjoint? ​
The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_methods_geom_relations_intersects.md.BQCKaqut.js b/previews/PR206/assets/source_methods_geom_relations_intersects.md.BXxrGXi9.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_intersects.md.BQCKaqut.js
rename to previews/PR206/assets/source_methods_geom_relations_intersects.md.BXxrGXi9.js
index 1876e7fe9..d6fbc127e 100644
--- a/previews/PR206/assets/source_methods_geom_relations_intersects.md.BQCKaqut.js
+++ b/previews/PR206/assets/source_methods_geom_relations_intersects.md.BXxrGXi9.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/hfvowkl.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as e,o as n}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/lfcgzbn.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_geom_relations_intersects.md.BQCKaqut.lean.js b/previews/PR206/assets/source_methods_geom_relations_intersects.md.BXxrGXi9.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_intersects.md.BQCKaqut.lean.js
rename to previews/PR206/assets/source_methods_geom_relations_intersects.md.BXxrGXi9.lean.js
index 1876e7fe9..d6fbc127e 100644
--- a/previews/PR206/assets/source_methods_geom_relations_intersects.md.BQCKaqut.lean.js
+++ b/previews/PR206/assets/source_methods_geom_relations_intersects.md.BXxrGXi9.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as n}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/hfvowkl.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as e,o as n}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/lfcgzbn.DeeQUply.png",g=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/intersects.md"};function l(h,s,k,r,o,d){return n(),a("div",null,s[0]||(s[0]=[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/previews/PR206/assets/source_methods_geom_relations_overlaps.md.j5Rj5Nnn.js b/previews/PR206/assets/source_methods_geom_relations_overlaps.md.BlkOdgJO.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_overlaps.md.j5Rj5Nnn.js
rename to previews/PR206/assets/source_methods_geom_relations_overlaps.md.BlkOdgJO.js
index 34d5fc2e9..d5902443c 100644
--- a/previews/PR206/assets/source_methods_geom_relations_overlaps.md.j5Rj5Nnn.js
+++ b/previews/PR206/assets/source_methods_geom_relations_overlaps.md.BlkOdgJO.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const p="/GeometryOps.jl/previews/PR206/assets/fjirosq.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return l(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const p="/GeometryOps.jl/previews/PR206/assets/nupdfgr.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return l(),a("div",null,s[0]||(s[0]=[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
diff --git a/previews/PR206/assets/source_methods_geom_relations_overlaps.md.j5Rj5Nnn.lean.js b/previews/PR206/assets/source_methods_geom_relations_overlaps.md.BlkOdgJO.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_overlaps.md.j5Rj5Nnn.lean.js
rename to previews/PR206/assets/source_methods_geom_relations_overlaps.md.BlkOdgJO.lean.js
index 34d5fc2e9..d5902443c 100644
--- a/previews/PR206/assets/source_methods_geom_relations_overlaps.md.j5Rj5Nnn.lean.js
+++ b/previews/PR206/assets/source_methods_geom_relations_overlaps.md.BlkOdgJO.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const p="/GeometryOps.jl/previews/PR206/assets/fjirosq.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return l(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as l}from"./chunks/framework.BTiM8YUm.js";const p="/GeometryOps.jl/previews/PR206/assets/nupdfgr.CgiryX2p.png",o=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/overlaps.md"};function e(h,s,k,r,d,g){return l(),a("div",null,s[0]||(s[0]=[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
diff --git a/previews/PR206/assets/source_methods_geom_relations_touches.md.DHV2ATcR.js b/previews/PR206/assets/source_methods_geom_relations_touches.md.DQ6Q8uyo.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_touches.md.DHV2ATcR.js
rename to previews/PR206/assets/source_methods_geom_relations_touches.md.DQ6Q8uyo.js
index 13e1e3373..26656af4f 100644
--- a/previews/PR206/assets/source_methods_geom_relations_touches.md.DHV2ATcR.js
+++ b/previews/PR206/assets/source_methods_geom_relations_touches.md.DQ6Q8uyo.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/jgbyhor.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return t(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/kditiat.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return t(),a("div",null,s[0]||(s[0]=[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
diff --git a/previews/PR206/assets/source_methods_geom_relations_touches.md.DHV2ATcR.lean.js b/previews/PR206/assets/source_methods_geom_relations_touches.md.DQ6Q8uyo.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_touches.md.DHV2ATcR.lean.js
rename to previews/PR206/assets/source_methods_geom_relations_touches.md.DQ6Q8uyo.lean.js
index 13e1e3373..26656af4f 100644
--- a/previews/PR206/assets/source_methods_geom_relations_touches.md.DHV2ATcR.lean.js
+++ b/previews/PR206/assets/source_methods_geom_relations_touches.md.DQ6Q8uyo.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/jgbyhor.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return t(),a("div",null,s[0]||(s[0]=[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{_ as i,c as a,a5 as n,o as t}from"./chunks/framework.BTiM8YUm.js";const h="/GeometryOps.jl/previews/PR206/assets/kditiat.BEFUMtlf.png",o=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/touches.md"};function e(p,s,k,r,E,g){return t(),a("div",null,s[0]||(s[0]=[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
diff --git a/previews/PR206/assets/source_methods_geom_relations_within.md.DMeEZg60.js b/previews/PR206/assets/source_methods_geom_relations_within.md.Z8eex2A-.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_within.md.DMeEZg60.js
rename to previews/PR206/assets/source_methods_geom_relations_within.md.Z8eex2A-.js
index 8ea26179d..3002d9315 100644
--- a/previews/PR206/assets/source_methods_geom_relations_within.md.DMeEZg60.js
+++ b/previews/PR206/assets/source_methods_geom_relations_within.md.Z8eex2A-.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/esapwdw._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/jrjrpvw._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Within ​
julia
export within
What is within? ​
The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_methods_geom_relations_within.md.DMeEZg60.lean.js b/previews/PR206/assets/source_methods_geom_relations_within.md.Z8eex2A-.lean.js
similarity index 99%
rename from previews/PR206/assets/source_methods_geom_relations_within.md.DMeEZg60.lean.js
rename to previews/PR206/assets/source_methods_geom_relations_within.md.Z8eex2A-.lean.js
index 8ea26179d..3002d9315 100644
--- a/previews/PR206/assets/source_methods_geom_relations_within.md.DMeEZg60.lean.js
+++ b/previews/PR206/assets/source_methods_geom_relations_within.md.Z8eex2A-.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/esapwdw._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/jrjrpvw._0R9BbFk.png",o=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/within.md"};function e(p,s,k,r,E,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Within ​
julia
export within
What is within? ​
The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR206/assets/source_primitives.md.Cg8270G3.js b/previews/PR206/assets/source_primitives.md.CAXvUW2a.js
similarity index 96%
rename from previews/PR206/assets/source_primitives.md.Cg8270G3.js
rename to previews/PR206/assets/source_primitives.md.CAXvUW2a.js
index a6e9225e8..fa2c9cb0e 100644
--- a/previews/PR206/assets/source_primitives.md.Cg8270G3.js
+++ b/previews/PR206/assets/source_primitives.md.CAXvUW2a.js
@@ -1,7 +1,7 @@
-import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.BTiM8YUm.js";const E=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),h={name:"source/primitives.md"};function e(l,s,p,k,r,d){return n(),a("div",null,s[0]||(s[0]=[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 e,c as l,a5 as t,j as i,a,G as h,B as p,o as k}from"./chunks/framework.BTiM8YUm.js";const m=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),r={name:"source/primitives.md"},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""},E={class:"jldocstring custom-block",open:""};function y(o,s,c,F,u,C){const n=p("Badge");return k(),l("div",null,[s[15]||(s[15]=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.
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\`."
+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.
`,14)),i("details",d,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.flatten",href:"#GeometryOps.flatten"},"#",-1)),s[1]||(s[1]=a()),s[2]||(s[2]=i("span",{class:"jlbinding"},"GeometryOps.flatten",-1)),s[3]||(s[3]=a()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[4]||(s[4]=t(`
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
+flatten(f, target::Type{<:GI.AbstractTrait}, obj)
Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.
If f is passed in it will be applied to the target geometries.
source
`,4))]),i("details",g,[i("summary",null,[s[5]||(s[5]=i("a",{id:"GeometryOps.reconstruct",href:"#GeometryOps.reconstruct"},"#",-1)),s[6]||(s[6]=a()),s[7]||(s[7]=i("span",{class:"jlbinding"},"GeometryOps.reconstruct",-1)),s[8]||(s[8]=a()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[9]||(s[9]=t('
julia
reconstruct(geom, components)
Reconstruct geom from an iterable of component objects that match its structure.
All objects in components must have the same GeoInterface.trait.
Usually used in combination with flatten.
source
',5))]),i("details",E,[i("summary",null,[s[10]||(s[10]=i("a",{id:"GeometryOps.rebuild",href:"#GeometryOps.rebuild"},"#",-1)),s[11]||(s[11]=a()),s[12]||(s[12]=i("span",{class:"jlbinding"},"GeometryOps.rebuild",-1)),s[13]||(s[13]=a()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[14]||(s[14]=t('
julia
rebuild(geom, child_geoms)
Rebuild a geometry from child geometries.
By default geometries will be rebuilt as a GeoInterface.Wrappers geometry, but rebuild can have methods added to it to dispatch on geometries from other packages and specify how to rebuild them.
(Maybe it should go into GeoInterface.jl)
source
',5))]),s[16]||(s[16]=t(`
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\`."
 
@@ -326,4 +326,4 @@ import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.BTiM8YUm.js";const E
 end
 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.
`,212)]))}const y=i(h,[["render",e]]);export{E as __pageData,y as default};
+end
This page was generated using Literate.jl.
`,192))])}const A=e(r,[["render",y]]);export{m as __pageData,A as default};
diff --git a/previews/PR206/assets/source_primitives.md.Cg8270G3.lean.js b/previews/PR206/assets/source_primitives.md.CAXvUW2a.lean.js
similarity index 96%
rename from previews/PR206/assets/source_primitives.md.Cg8270G3.lean.js
rename to previews/PR206/assets/source_primitives.md.CAXvUW2a.lean.js
index a6e9225e8..fa2c9cb0e 100644
--- a/previews/PR206/assets/source_primitives.md.Cg8270G3.lean.js
+++ b/previews/PR206/assets/source_primitives.md.CAXvUW2a.lean.js
@@ -1,7 +1,7 @@
-import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.BTiM8YUm.js";const E=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),h={name:"source/primitives.md"};function e(l,s,p,k,r,d){return n(),a("div",null,s[0]||(s[0]=[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 e,c as l,a5 as t,j as i,a,G as h,B as p,o as k}from"./chunks/framework.BTiM8YUm.js";const m=JSON.parse('{"title":"Primitive functions","description":"","frontmatter":{},"headers":[],"relativePath":"source/primitives.md","filePath":"source/primitives.md","lastUpdated":null}'),r={name:"source/primitives.md"},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""},E={class:"jldocstring custom-block",open:""};function y(o,s,c,F,u,C){const n=p("Badge");return k(),l("div",null,[s[15]||(s[15]=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.
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\`."
+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.
`,14)),i("details",d,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.flatten",href:"#GeometryOps.flatten"},"#",-1)),s[1]||(s[1]=a()),s[2]||(s[2]=i("span",{class:"jlbinding"},"GeometryOps.flatten",-1)),s[3]||(s[3]=a()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[4]||(s[4]=t(`
julia
flatten(target::Type{<:GI.AbstractTrait}, obj)
+flatten(f, target::Type{<:GI.AbstractTrait}, obj)
Lazily flatten any AbstractArray, iterator, FeatureCollectionTrait, FeatureTrait or AbstractGeometryTrait object obj, so that objects with the target trait are returned by the iterator.
If f is passed in it will be applied to the target geometries.
source
`,4))]),i("details",g,[i("summary",null,[s[5]||(s[5]=i("a",{id:"GeometryOps.reconstruct",href:"#GeometryOps.reconstruct"},"#",-1)),s[6]||(s[6]=a()),s[7]||(s[7]=i("span",{class:"jlbinding"},"GeometryOps.reconstruct",-1)),s[8]||(s[8]=a()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[9]||(s[9]=t('
julia
reconstruct(geom, components)
Reconstruct geom from an iterable of component objects that match its structure.
All objects in components must have the same GeoInterface.trait.
Usually used in combination with flatten.
source
',5))]),i("details",E,[i("summary",null,[s[10]||(s[10]=i("a",{id:"GeometryOps.rebuild",href:"#GeometryOps.rebuild"},"#",-1)),s[11]||(s[11]=a()),s[12]||(s[12]=i("span",{class:"jlbinding"},"GeometryOps.rebuild",-1)),s[13]||(s[13]=a()),h(n,{type:"info",class:"jlObjectType jlFunction",text:"Function"})]),s[14]||(s[14]=t('
julia
rebuild(geom, child_geoms)
Rebuild a geometry from child geometries.
By default geometries will be rebuilt as a GeoInterface.Wrappers geometry, but rebuild can have methods added to it to dispatch on geometries from other packages and specify how to rebuild them.
(Maybe it should go into GeoInterface.jl)
source
',5))]),s[16]||(s[16]=t(`
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\`."
 
@@ -326,4 +326,4 @@ import{_ as i,c as a,a5 as t,o as n}from"./chunks/framework.BTiM8YUm.js";const E
 end
 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.
`,212)]))}const y=i(h,[["render",e]]);export{E as __pageData,y as default};
+end
This page was generated using Literate.jl.
`,192))])}const A=e(r,[["render",y]]);export{m as __pageData,A as default};
diff --git a/previews/PR206/assets/source_transformations_correction_geometry_correction.md.Jp-EGUK9.js b/previews/PR206/assets/source_transformations_correction_geometry_correction.md.Jp-EGUK9.js
deleted file mode 100644
index 4860dba68..000000000
--- a/previews/PR206/assets/source_transformations_correction_geometry_correction.md.Jp-EGUK9.js
+++ /dev/null
@@ -1,31 +0,0 @@
-import{_ as s,c as e,a5 as t,o as a}from"./chunks/framework.BTiM8YUm.js";const d=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),n={name:"source/transformations/correction/geometry_correction.md"};function r(o,i,l,p,h,c){return a(),e("div",null,i[0]||(i[0]=[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.
-
-# 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.
-"""
-abstract type GeometryCorrection end
-
-application_level(gc::GeometryCorrection) = error("Not implemented yet for $(gc)")
-
-(gc::GeometryCorrection)(geometry) = gc(GI.trait(geometry), geometry)
-
-(gc::GeometryCorrection)(trait::GI.AbstractGeometryTrait, geometry) = error("Not implemented yet for $(gc) and $(trait).")
-
-function fix(geometry; corrections = GeometryCorrection[ClosedRing(),], kwargs...)
-    traits = application_level.(corrections)
-    final_geometry = geometry
-    for Trait in (GI.PointTrait, GI.MultiPointTrait, GI.LineStringTrait, GI.LinearRingTrait, GI.MultiLineStringTrait, GI.PolygonTrait, GI.MultiPolygonTrait)
-        available_corrections = findall(x -> x == Trait, traits)
-        isempty(available_corrections) && continue
-        @debug "Correcting for $(Trait)"
-        net_function = reduce(∘, corrections[available_corrections])
-        final_geometry = apply(net_function, Trait, final_geometry; kwargs...)
-    end
-    return final_geometry
-end
Available corrections ​
# GeometryOps.ClosedRing — Type. 
julia
ClosedRing() <: GeometryCorrection
This correction ensures that a polygon's exterior and interior rings are closed.
It can be called on any geometry correction as usual.
See also GeometryCorrection.
source

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

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

# GeometryOps.UnionIntersectingPolygons — Type. 
julia
UnionIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygon's included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.
See also GeometryCorrection.
source

This page was generated using Literate.jl.
`,23)]))}const y=s(n,[["render",r]]);export{d as __pageData,y as default};
diff --git a/previews/PR206/assets/source_transformations_correction_geometry_correction.md.Jp-EGUK9.lean.js b/previews/PR206/assets/source_transformations_correction_geometry_correction.md.Jp-EGUK9.lean.js
deleted file mode 100644
index 4860dba68..000000000
--- a/previews/PR206/assets/source_transformations_correction_geometry_correction.md.Jp-EGUK9.lean.js
+++ /dev/null
@@ -1,31 +0,0 @@
-import{_ as s,c as e,a5 as t,o as a}from"./chunks/framework.BTiM8YUm.js";const d=JSON.parse('{"title":"Geometry Corrections","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/correction/geometry_correction.md","filePath":"source/transformations/correction/geometry_correction.md","lastUpdated":null}'),n={name:"source/transformations/correction/geometry_correction.md"};function r(o,i,l,p,h,c){return a(),e("div",null,i[0]||(i[0]=[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.
-
-# 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.
-"""
-abstract type GeometryCorrection end
-
-application_level(gc::GeometryCorrection) = error("Not implemented yet for $(gc)")
-
-(gc::GeometryCorrection)(geometry) = gc(GI.trait(geometry), geometry)
-
-(gc::GeometryCorrection)(trait::GI.AbstractGeometryTrait, geometry) = error("Not implemented yet for $(gc) and $(trait).")
-
-function fix(geometry; corrections = GeometryCorrection[ClosedRing(),], kwargs...)
-    traits = application_level.(corrections)
-    final_geometry = geometry
-    for Trait in (GI.PointTrait, GI.MultiPointTrait, GI.LineStringTrait, GI.LinearRingTrait, GI.MultiLineStringTrait, GI.PolygonTrait, GI.MultiPolygonTrait)
-        available_corrections = findall(x -> x == Trait, traits)
-        isempty(available_corrections) && continue
-        @debug "Correcting for $(Trait)"
-        net_function = reduce(∘, corrections[available_corrections])
-        final_geometry = apply(net_function, Trait, final_geometry; kwargs...)
-    end
-    return final_geometry
-end
Available corrections ​
# GeometryOps.ClosedRing — Type. 
julia
ClosedRing() <: GeometryCorrection
This correction ensures that a polygon's exterior and interior rings are closed.
It can be called on any geometry correction as usual.
See also GeometryCorrection.
source

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

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

# GeometryOps.UnionIntersectingPolygons — Type. 
julia
UnionIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygon's included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.
See also GeometryCorrection.
source

This page was generated using Literate.jl.
`,23)]))}const y=s(n,[["render",r]]);export{d as __pageData,y as default};
diff --git a/previews/PR206/assets/source_transformations_correction_geometry_correction.md.tHdSuTlr.js b/previews/PR206/assets/source_transformations_correction_geometry_correction.md.tHdSuTlr.js
new file mode 100644
index 000000000..652eb544d
--- /dev/null
+++ b/previews/PR206/assets/source_transformations_correction_geometry_correction.md.tHdSuTlr.js
@@ -0,0 +1,31 @@
+import{_ as r,c as o,a5 as t,j as i,a as e,G as a,B as l,o as p}from"./chunks/framework.BTiM8YUm.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}'),h={name:"source/transformations/correction/geometry_correction.md"},k={class:"jldocstring custom-block",open:""},c={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,F,C,b){const n=l("Badge");return p(),o("div",null,[s[25]||(s[25]=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.
',8)),i("details",k,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},"#",-1)),s[1]||(s[1]=e()),s[2]||(s[2]=i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection",-1)),s[3]||(s[3]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[4]||(s[4]=t('
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source
',5))]),s[26]||(s[26]=t(`
Any geometry correction must implement the interface as given above.
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.
+"""
+abstract type GeometryCorrection end
+
+application_level(gc::GeometryCorrection) = error("Not implemented yet for $(gc)")
+
+(gc::GeometryCorrection)(geometry) = gc(GI.trait(geometry), geometry)
+
+(gc::GeometryCorrection)(trait::GI.AbstractGeometryTrait, geometry) = error("Not implemented yet for $(gc) and $(trait).")
+
+function fix(geometry; corrections = GeometryCorrection[ClosedRing(),], kwargs...)
+    traits = application_level.(corrections)
+    final_geometry = geometry
+    for Trait in (GI.PointTrait, GI.MultiPointTrait, GI.LineStringTrait, GI.LinearRingTrait, GI.MultiLineStringTrait, GI.PolygonTrait, GI.MultiPolygonTrait)
+        available_corrections = findall(x -> x == Trait, traits)
+        isempty(available_corrections) && continue
+        @debug "Correcting for $(Trait)"
+        net_function = reduce(∘, corrections[available_corrections])
+        final_geometry = apply(net_function, Trait, final_geometry; kwargs...)
+    end
+    return final_geometry
+end
Available corrections ​
`,3)),i("details",c,[i("summary",null,[s[5]||(s[5]=i("a",{id:"GeometryOps.ClosedRing-source-transformations-correction-geometry_correction",href:"#GeometryOps.ClosedRing-source-transformations-correction-geometry_correction"},"#",-1)),s[6]||(s[6]=e()),s[7]||(s[7]=i("span",{class:"jlbinding"},"GeometryOps.ClosedRing",-1)),s[8]||(s[8]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[9]||(s[9]=t('
julia
ClosedRing() <: GeometryCorrection
This correction ensures that a polygon's exterior and interior rings are closed.
It can be called on any geometry correction as usual.
See also GeometryCorrection.
source
',5))]),i("details",y,[i("summary",null,[s[10]||(s[10]=i("a",{id:"GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction"},"#",-1)),s[11]||(s[11]=e()),s[12]||(s[12]=i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons",-1)),s[13]||(s[13]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[14]||(s[14]=t('
julia
DiffIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygons included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be made nonintersecting through the difference operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also GeometryCorrection, UnionIntersectingPolygons.
source
',3))]),i("details",d,[i("summary",null,[s[15]||(s[15]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2"},"#",-1)),s[16]||(s[16]=e()),s[17]||(s[17]=i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection",-1)),s[18]||(s[18]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[19]||(s[19]=t('
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source
',5))]),i("details",g,[i("summary",null,[s[20]||(s[20]=i("a",{id:"GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction"},"#",-1)),s[21]||(s[21]=e()),s[22]||(s[22]=i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons",-1)),s[23]||(s[23]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[24]||(s[24]=t('
julia
UnionIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygon's included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.
See also GeometryCorrection.
source
',4))]),s[27]||(s[27]=i("hr",null,null,-1)),s[28]||(s[28]=i("p",null,[i("em",null,[e("This page was generated using "),i("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),e(".")])],-1))])}const v=r(h,[["render",m]]);export{G as __pageData,v as default};
diff --git a/previews/PR206/assets/source_transformations_correction_geometry_correction.md.tHdSuTlr.lean.js b/previews/PR206/assets/source_transformations_correction_geometry_correction.md.tHdSuTlr.lean.js
new file mode 100644
index 000000000..652eb544d
--- /dev/null
+++ b/previews/PR206/assets/source_transformations_correction_geometry_correction.md.tHdSuTlr.lean.js
@@ -0,0 +1,31 @@
+import{_ as r,c as o,a5 as t,j as i,a as e,G as a,B as l,o as p}from"./chunks/framework.BTiM8YUm.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}'),h={name:"source/transformations/correction/geometry_correction.md"},k={class:"jldocstring custom-block",open:""},c={class:"jldocstring custom-block",open:""},y={class:"jldocstring custom-block",open:""},d={class:"jldocstring custom-block",open:""},g={class:"jldocstring custom-block",open:""};function m(E,s,u,F,C,b){const n=l("Badge");return p(),o("div",null,[s[25]||(s[25]=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.
',8)),i("details",k,[i("summary",null,[s[0]||(s[0]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction"},"#",-1)),s[1]||(s[1]=e()),s[2]||(s[2]=i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection",-1)),s[3]||(s[3]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[4]||(s[4]=t('
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source
',5))]),s[26]||(s[26]=t(`
Any geometry correction must implement the interface as given above.
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.
+"""
+abstract type GeometryCorrection end
+
+application_level(gc::GeometryCorrection) = error("Not implemented yet for $(gc)")
+
+(gc::GeometryCorrection)(geometry) = gc(GI.trait(geometry), geometry)
+
+(gc::GeometryCorrection)(trait::GI.AbstractGeometryTrait, geometry) = error("Not implemented yet for $(gc) and $(trait).")
+
+function fix(geometry; corrections = GeometryCorrection[ClosedRing(),], kwargs...)
+    traits = application_level.(corrections)
+    final_geometry = geometry
+    for Trait in (GI.PointTrait, GI.MultiPointTrait, GI.LineStringTrait, GI.LinearRingTrait, GI.MultiLineStringTrait, GI.PolygonTrait, GI.MultiPolygonTrait)
+        available_corrections = findall(x -> x == Trait, traits)
+        isempty(available_corrections) && continue
+        @debug "Correcting for $(Trait)"
+        net_function = reduce(∘, corrections[available_corrections])
+        final_geometry = apply(net_function, Trait, final_geometry; kwargs...)
+    end
+    return final_geometry
+end
Available corrections ​
`,3)),i("details",c,[i("summary",null,[s[5]||(s[5]=i("a",{id:"GeometryOps.ClosedRing-source-transformations-correction-geometry_correction",href:"#GeometryOps.ClosedRing-source-transformations-correction-geometry_correction"},"#",-1)),s[6]||(s[6]=e()),s[7]||(s[7]=i("span",{class:"jlbinding"},"GeometryOps.ClosedRing",-1)),s[8]||(s[8]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[9]||(s[9]=t('
julia
ClosedRing() <: GeometryCorrection
This correction ensures that a polygon's exterior and interior rings are closed.
It can be called on any geometry correction as usual.
See also GeometryCorrection.
source
',5))]),i("details",y,[i("summary",null,[s[10]||(s[10]=i("a",{id:"GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.DiffIntersectingPolygons-source-transformations-correction-geometry_correction"},"#",-1)),s[11]||(s[11]=e()),s[12]||(s[12]=i("span",{class:"jlbinding"},"GeometryOps.DiffIntersectingPolygons",-1)),s[13]||(s[13]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[14]||(s[14]=t('
julia
DiffIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygons included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be made nonintersecting through the difference operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also GeometryCorrection, UnionIntersectingPolygons.
source
',3))]),i("details",d,[i("summary",null,[s[15]||(s[15]=i("a",{id:"GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2",href:"#GeometryOps.GeometryCorrection-source-transformations-correction-geometry_correction-2"},"#",-1)),s[16]||(s[16]=e()),s[17]||(s[17]=i("span",{class:"jlbinding"},"GeometryOps.GeometryCorrection",-1)),s[18]||(s[18]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[19]||(s[19]=t('
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source
',5))]),i("details",g,[i("summary",null,[s[20]||(s[20]=i("a",{id:"GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction",href:"#GeometryOps.UnionIntersectingPolygons-source-transformations-correction-geometry_correction"},"#",-1)),s[21]||(s[21]=e()),s[22]||(s[22]=i("span",{class:"jlbinding"},"GeometryOps.UnionIntersectingPolygons",-1)),s[23]||(s[23]=e()),a(n,{type:"info",class:"jlObjectType jlType",text:"Type"})]),s[24]||(s[24]=t('
julia
UnionIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygon's included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.
See also GeometryCorrection.
source
',4))]),s[27]||(s[27]=i("hr",null,null,-1)),s[28]||(s[28]=i("p",null,[i("em",null,[e("This page was generated using "),i("a",{href:"https://github.com/fredrikekre/Literate.jl",target:"_blank",rel:"noreferrer"},"Literate.jl"),e(".")])],-1))])}const v=r(h,[["render",m]]);export{G as __pageData,v as default};
diff --git a/previews/PR206/assets/source_transformations_segmentize.md.TV4vqUtl.js b/previews/PR206/assets/source_transformations_segmentize.md.Blj3b4SM.js
similarity index 99%
rename from previews/PR206/assets/source_transformations_segmentize.md.TV4vqUtl.js
rename to previews/PR206/assets/source_transformations_segmentize.md.Blj3b4SM.js
index 484eb5a94..e3eef53de 100644
--- a/previews/PR206/assets/source_transformations_segmentize.md.TV4vqUtl.js
+++ b/previews/PR206/assets/source_transformations_segmentize.md.Blj3b4SM.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/cxsfesn.D5-bot8v.png",l="/GeometryOps.jl/previews/PR206/assets/zalknnh.BQvQJP0d.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"};function k(p,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Segmentize ​
julia
export segmentize
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/orlxztb.D5-bot8v.png",l="/GeometryOps.jl/previews/PR206/assets/stajdyz.QvVBRMAk.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"};function k(p,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Segmentize ​
julia
export segmentize
 export LinearSegments, GeodesicSegments
This function "segmentizes" or "densifies" a geometry by adding extra vertices to the geometry so that no segment is longer than a given distance. This is useful for plotting geometries with a limited number of vertices, or for ensuring that a geometry is not too "coarse" for a given application.
Info
We plan to add interpolated segmentization from DataInterpolations.jl in the future, which will be available to any vector of point-like objects.
For now, this function only works on 2D geometries. We will also support 3D geometries, as well as measure interpolation, in the future.
Examples ​
julia
import GeometryOps as GO, GeoInterface as GI
 rectangle = GI.Wrappers.Polygon([[(0.0, 50.0), (7.071, 57.07), (0, 64.14), (-7.07, 57.07), (0.0, 50.0)]])
 linear = GO.segmentize(rectangle; max_distance = 5)
diff --git a/previews/PR206/assets/source_transformations_segmentize.md.TV4vqUtl.lean.js b/previews/PR206/assets/source_transformations_segmentize.md.Blj3b4SM.lean.js
similarity index 99%
rename from previews/PR206/assets/source_transformations_segmentize.md.TV4vqUtl.lean.js
rename to previews/PR206/assets/source_transformations_segmentize.md.Blj3b4SM.lean.js
index 484eb5a94..e3eef53de 100644
--- a/previews/PR206/assets/source_transformations_segmentize.md.TV4vqUtl.lean.js
+++ b/previews/PR206/assets/source_transformations_segmentize.md.Blj3b4SM.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/cxsfesn.D5-bot8v.png",l="/GeometryOps.jl/previews/PR206/assets/zalknnh.BQvQJP0d.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"};function k(p,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Segmentize ​
julia
export segmentize
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/orlxztb.D5-bot8v.png",l="/GeometryOps.jl/previews/PR206/assets/stajdyz.QvVBRMAk.png",o=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"};function k(p,s,r,E,d,g){return h(),a("div",null,s[0]||(s[0]=[n(`
Segmentize ​
julia
export segmentize
 export LinearSegments, GeodesicSegments
This function "segmentizes" or "densifies" a geometry by adding extra vertices to the geometry so that no segment is longer than a given distance. This is useful for plotting geometries with a limited number of vertices, or for ensuring that a geometry is not too "coarse" for a given application.
Info
We plan to add interpolated segmentization from DataInterpolations.jl in the future, which will be available to any vector of point-like objects.
For now, this function only works on 2D geometries. We will also support 3D geometries, as well as measure interpolation, in the future.
Examples ​
julia
import GeometryOps as GO, GeoInterface as GI
 rectangle = GI.Wrappers.Polygon([[(0.0, 50.0), (7.071, 57.07), (0, 64.14), (-7.07, 57.07), (0.0, 50.0)]])
 linear = GO.segmentize(rectangle; max_distance = 5)
diff --git a/previews/PR206/assets/source_transformations_simplify.md.DzEuIhgq.js b/previews/PR206/assets/source_transformations_simplify.md.B5DRriSB.js
similarity index 99%
rename from previews/PR206/assets/source_transformations_simplify.md.DzEuIhgq.js
rename to previews/PR206/assets/source_transformations_simplify.md.B5DRriSB.js
index 991f3b0f0..de320b41b 100644
--- a/previews/PR206/assets/source_transformations_simplify.md.DzEuIhgq.js
+++ b/previews/PR206/assets/source_transformations_simplify.md.B5DRriSB.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/wnoqtoy.Bglvb-jp.png",k="/GeometryOps.jl/previews/PR206/assets/qphdkqp.B94PsR1K.png",t="/GeometryOps.jl/previews/PR206/assets/catjqjj.DNIyYw5p.png",p="/GeometryOps.jl/previews/PR206/assets/dhyxrvi.DVAYeq_B.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/wkcfxzq.Bglvb-jp.png",k="/GeometryOps.jl/previews/PR206/assets/ymtduwb.B94PsR1K.png",t="/GeometryOps.jl/previews/PR206/assets/isgwqhn.BgAyp4rY.png",p="/GeometryOps.jl/previews/PR206/assets/lwsczvg.CqGdiBIp.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return h(),a("div",null,s[0]||(s[0]=[n(`
Geometry simplification ​
This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
Examples ​
A quick and dirty example is:
julia
using Makie, GeoInterfaceMakie
 import GeoInterface as GI
 import GeometryOps as GO
 
diff --git a/previews/PR206/assets/source_transformations_simplify.md.DzEuIhgq.lean.js b/previews/PR206/assets/source_transformations_simplify.md.B5DRriSB.lean.js
similarity index 99%
rename from previews/PR206/assets/source_transformations_simplify.md.DzEuIhgq.lean.js
rename to previews/PR206/assets/source_transformations_simplify.md.B5DRriSB.lean.js
index 991f3b0f0..de320b41b 100644
--- a/previews/PR206/assets/source_transformations_simplify.md.DzEuIhgq.lean.js
+++ b/previews/PR206/assets/source_transformations_simplify.md.B5DRriSB.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/wnoqtoy.Bglvb-jp.png",k="/GeometryOps.jl/previews/PR206/assets/qphdkqp.B94PsR1K.png",t="/GeometryOps.jl/previews/PR206/assets/catjqjj.DNIyYw5p.png",p="/GeometryOps.jl/previews/PR206/assets/dhyxrvi.DVAYeq_B.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return h(),a("div",null,s[0]||(s[0]=[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 i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/wkcfxzq.Bglvb-jp.png",k="/GeometryOps.jl/previews/PR206/assets/ymtduwb.B94PsR1K.png",t="/GeometryOps.jl/previews/PR206/assets/isgwqhn.BgAyp4rY.png",p="/GeometryOps.jl/previews/PR206/assets/lwsczvg.CqGdiBIp.png",c=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),e={name:"source/transformations/simplify.md"};function E(r,s,d,g,y,F){return h(),a("div",null,s[0]||(s[0]=[n(`
Geometry simplification ​
This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
Examples ​
A quick and dirty example is:
julia
using Makie, GeoInterfaceMakie
 import GeoInterface as GI
 import GeometryOps as GO
 
diff --git a/previews/PR206/assets/stajdyz.QvVBRMAk.png b/previews/PR206/assets/stajdyz.QvVBRMAk.png
new file mode 100644
index 000000000..5b52e68a0
Binary files /dev/null and b/previews/PR206/assets/stajdyz.QvVBRMAk.png differ
diff --git a/previews/PR206/assets/tutorials_creating_geometry.md.DpRT0tJ9.js b/previews/PR206/assets/tutorials_creating_geometry.md.DfbUypM-.js
similarity index 99%
rename from previews/PR206/assets/tutorials_creating_geometry.md.DpRT0tJ9.js
rename to previews/PR206/assets/tutorials_creating_geometry.md.DfbUypM-.js
index dfe8cba29..7d09fafff 100644
--- a/previews/PR206/assets/tutorials_creating_geometry.md.DpRT0tJ9.js
+++ b/previews/PR206/assets/tutorials_creating_geometry.md.DfbUypM-.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as t}from"./chunks/framework.BTiM8YUm.js";const n="/GeometryOps.jl/previews/PR206/assets/lldtkpy.Dz86q2IX.png",l="/GeometryOps.jl/previews/PR206/assets/gxcdqtv.Cx40vhB3.png",p="/GeometryOps.jl/previews/PR206/assets/axinvog.0OJvb21A.png",h="/GeometryOps.jl/previews/PR206/assets/bnwipsk.DaovVbE6.png",o="/GeometryOps.jl/previews/PR206/assets/pcpkecy.rOsRk89v.png",k="/GeometryOps.jl/previews/PR206/assets/hkhuwav.4wfjCtJV.png",r="/GeometryOps.jl/previews/PR206/assets/asfniqw.3sfpQl2i.png",g="/GeometryOps.jl/previews/PR206/assets/vafjkid.Dab1-ETk.png",d="/GeometryOps.jl/previews/PR206/assets/aecybxr.D9AE7i2o.png",E="/GeometryOps.jl/previews/PR206/assets/syffdxr.DTKLkKh_.png",c="/GeometryOps.jl/previews/PR206/assets/kmlfcmj.0f3Lq4Lw.png",G=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function F(u,s,f,C,m,b){return t(),a("div",null,s[0]||(s[0]=[e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
+import{_ as i,c as a,a5 as e,o as t}from"./chunks/framework.BTiM8YUm.js";const n="/GeometryOps.jl/previews/PR206/assets/wiyzpav.Dz86q2IX.png",l="/GeometryOps.jl/previews/PR206/assets/nxtfyfe.Cx40vhB3.png",p="/GeometryOps.jl/previews/PR206/assets/bwswvuj.0OJvb21A.png",h="/GeometryOps.jl/previews/PR206/assets/kpuekpy.DaovVbE6.png",o="/GeometryOps.jl/previews/PR206/assets/xobqwij.rOsRk89v.png",k="/GeometryOps.jl/previews/PR206/assets/igwzzfi.4wfjCtJV.png",r="/GeometryOps.jl/previews/PR206/assets/xbhryep.3sfpQl2i.png",g="/GeometryOps.jl/previews/PR206/assets/ofucaie.Dab1-ETk.png",d="/GeometryOps.jl/previews/PR206/assets/rriekfp.D9AE7i2o.png",E="/GeometryOps.jl/previews/PR206/assets/zwluiky.DTKLkKh_.png",c="/GeometryOps.jl/previews/PR206/assets/maemnln.0f3Lq4Lw.png",G=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function F(u,s,f,C,m,b){return t(),a("div",null,s[0]||(s[0]=[e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
diff --git a/previews/PR206/assets/tutorials_creating_geometry.md.DpRT0tJ9.lean.js b/previews/PR206/assets/tutorials_creating_geometry.md.DfbUypM-.lean.js
similarity index 99%
rename from previews/PR206/assets/tutorials_creating_geometry.md.DpRT0tJ9.lean.js
rename to previews/PR206/assets/tutorials_creating_geometry.md.DfbUypM-.lean.js
index dfe8cba29..7d09fafff 100644
--- a/previews/PR206/assets/tutorials_creating_geometry.md.DpRT0tJ9.lean.js
+++ b/previews/PR206/assets/tutorials_creating_geometry.md.DfbUypM-.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as e,o as t}from"./chunks/framework.BTiM8YUm.js";const n="/GeometryOps.jl/previews/PR206/assets/lldtkpy.Dz86q2IX.png",l="/GeometryOps.jl/previews/PR206/assets/gxcdqtv.Cx40vhB3.png",p="/GeometryOps.jl/previews/PR206/assets/axinvog.0OJvb21A.png",h="/GeometryOps.jl/previews/PR206/assets/bnwipsk.DaovVbE6.png",o="/GeometryOps.jl/previews/PR206/assets/pcpkecy.rOsRk89v.png",k="/GeometryOps.jl/previews/PR206/assets/hkhuwav.4wfjCtJV.png",r="/GeometryOps.jl/previews/PR206/assets/asfniqw.3sfpQl2i.png",g="/GeometryOps.jl/previews/PR206/assets/vafjkid.Dab1-ETk.png",d="/GeometryOps.jl/previews/PR206/assets/aecybxr.D9AE7i2o.png",E="/GeometryOps.jl/previews/PR206/assets/syffdxr.DTKLkKh_.png",c="/GeometryOps.jl/previews/PR206/assets/kmlfcmj.0f3Lq4Lw.png",G=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function F(u,s,f,C,m,b){return t(),a("div",null,s[0]||(s[0]=[e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
+import{_ as i,c as a,a5 as e,o as t}from"./chunks/framework.BTiM8YUm.js";const n="/GeometryOps.jl/previews/PR206/assets/wiyzpav.Dz86q2IX.png",l="/GeometryOps.jl/previews/PR206/assets/nxtfyfe.Cx40vhB3.png",p="/GeometryOps.jl/previews/PR206/assets/bwswvuj.0OJvb21A.png",h="/GeometryOps.jl/previews/PR206/assets/kpuekpy.DaovVbE6.png",o="/GeometryOps.jl/previews/PR206/assets/xobqwij.rOsRk89v.png",k="/GeometryOps.jl/previews/PR206/assets/igwzzfi.4wfjCtJV.png",r="/GeometryOps.jl/previews/PR206/assets/xbhryep.3sfpQl2i.png",g="/GeometryOps.jl/previews/PR206/assets/ofucaie.Dab1-ETk.png",d="/GeometryOps.jl/previews/PR206/assets/rriekfp.D9AE7i2o.png",E="/GeometryOps.jl/previews/PR206/assets/zwluiky.DTKLkKh_.png",c="/GeometryOps.jl/previews/PR206/assets/maemnln.0f3Lq4Lw.png",G=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),y={name:"tutorials/creating_geometry.md"};function F(u,s,f,C,m,b){return t(),a("div",null,s[0]||(s[0]=[e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
diff --git a/previews/PR206/assets/tutorials_geodesic_paths.md.DCHbu63K.js b/previews/PR206/assets/tutorials_geodesic_paths.md.BUZnu89F.js
similarity index 98%
rename from previews/PR206/assets/tutorials_geodesic_paths.md.DCHbu63K.js
rename to previews/PR206/assets/tutorials_geodesic_paths.md.BUZnu89F.js
index 079e880f6..03db6e7dc 100644
--- a/previews/PR206/assets/tutorials_geodesic_paths.md.DCHbu63K.js
+++ b/previews/PR206/assets/tutorials_geodesic_paths.md.BUZnu89F.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/stspsby.CPClNl7F.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[n(`
Geodesic paths ​
Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
julia
import GeometryOps as GO, GeoInterface as GI
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/lmyqakc.CPClNl7F.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[n(`
Geodesic paths ​
Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie, GeoMakie
 
 
diff --git a/previews/PR206/assets/tutorials_geodesic_paths.md.DCHbu63K.lean.js b/previews/PR206/assets/tutorials_geodesic_paths.md.BUZnu89F.lean.js
similarity index 98%
rename from previews/PR206/assets/tutorials_geodesic_paths.md.DCHbu63K.lean.js
rename to previews/PR206/assets/tutorials_geodesic_paths.md.BUZnu89F.lean.js
index 079e880f6..03db6e7dc 100644
--- a/previews/PR206/assets/tutorials_geodesic_paths.md.DCHbu63K.lean.js
+++ b/previews/PR206/assets/tutorials_geodesic_paths.md.BUZnu89F.lean.js
@@ -1,4 +1,4 @@
-import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/stspsby.CPClNl7F.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[n(`
Geodesic paths ​
Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
julia
import GeometryOps as GO, GeoInterface as GI
+import{_ as i,c as a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const t="/GeometryOps.jl/previews/PR206/assets/lmyqakc.CPClNl7F.png",o=JSON.parse('{"title":"Geodesic paths","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/geodesic_paths.md","filePath":"tutorials/geodesic_paths.md","lastUpdated":null}'),p={name:"tutorials/geodesic_paths.md"};function k(l,s,e,E,r,d){return h(),a("div",null,s[0]||(s[0]=[n(`
Geodesic paths ​
Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie, GeoMakie
 
 
diff --git a/previews/PR206/assets/tutorials_spatial_joins.md.AmfvD0hK.js b/previews/PR206/assets/tutorials_spatial_joins.md.-orUBARR.js
similarity index 99%
rename from previews/PR206/assets/tutorials_spatial_joins.md.AmfvD0hK.js
rename to previews/PR206/assets/tutorials_spatial_joins.md.-orUBARR.js
index fadf6f709..185dd33a9 100644
--- a/previews/PR206/assets/tutorials_spatial_joins.md.AmfvD0hK.js
+++ b/previews/PR206/assets/tutorials_spatial_joins.md.-orUBARR.js
@@ -1,4 +1,4 @@
-import{_ as e,c as t,j as i,a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/odiuimq.3UVIT8DR.png",p="/GeometryOps.jl/previews/PR206/assets/cvbizme.CGVb0TbM.png",k="/GeometryOps.jl/previews/PR206/assets/rvfqgwc.D0JKbChL.png",C=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),r={name:"tutorials/spatial_joins.md"},E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"};function o(g,s,y,F,c,u){return h(),t("div",null,[s[12]||(s[12]=i("h1",{id:"Spatial-joins",tabindex:"-1"},[a("Spatial joins "),i("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1)),i("p",null,[s[2]||(s[2]=a("Spatial joins are ")),s[3]||(s[3]=i("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1)),s[4]||(s[4]=a(" which are based not on equality, but on some predicate ")),i("mjx-container",E,[(h(),t("svg",d,s[0]||(s[0]=[n('',1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"p"),i("mo",{stretchy:"false"},"("),i("mi",null,"x"),i("mo",null,","),i("mi",null,"y"),i("mo",{stretchy:"false"},")")])],-1))]),s[5]||(s[5]=a(", which takes two geometries, and returns a value of either ")),s[6]||(s[6]=i("code",null,"true",-1)),s[7]||(s[7]=a(" or ")),s[8]||(s[8]=i("code",null,"false",-1)),s[9]||(s[9]=a(". For geometries, the ")),s[10]||(s[10]=i("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[i("code",null,"DE-9IM")],-1)),s[11]||(s[11]=a(" spatial relationship model is used to determine the spatial relationship between two geometries."))]),s[13]||(s[13]=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 e,c as t,j as i,a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/ryzpiqp.3UVIT8DR.png",p="/GeometryOps.jl/previews/PR206/assets/gkbdeqt.DPRb7wMj.png",k="/GeometryOps.jl/previews/PR206/assets/uofahab.BBILT1E3.png",C=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),r={name:"tutorials/spatial_joins.md"},E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"};function o(g,s,y,F,c,u){return h(),t("div",null,[s[12]||(s[12]=i("h1",{id:"Spatial-joins",tabindex:"-1"},[a("Spatial joins "),i("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1)),i("p",null,[s[2]||(s[2]=a("Spatial joins are ")),s[3]||(s[3]=i("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1)),s[4]||(s[4]=a(" which are based not on equality, but on some predicate ")),i("mjx-container",E,[(h(),t("svg",d,s[0]||(s[0]=[n('',1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"p"),i("mo",{stretchy:"false"},"("),i("mi",null,"x"),i("mo",null,","),i("mi",null,"y"),i("mo",{stretchy:"false"},")")])],-1))]),s[5]||(s[5]=a(", which takes two geometries, and returns a value of either ")),s[6]||(s[6]=i("code",null,"true",-1)),s[7]||(s[7]=a(" or ")),s[8]||(s[8]=i("code",null,"false",-1)),s[9]||(s[9]=a(". For geometries, the ")),s[10]||(s[10]=i("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[i("code",null,"DE-9IM")],-1)),s[11]||(s[11]=a(" spatial relationship model is used to determine the spatial relationship between two geometries."))]),s[13]||(s[13]=n(`
Spatial joins can be done between any geometry types (from geometrycollections to points), just as geometrical predicates can be evaluated on any geometries.
In this tutorial, we will show how to perform a spatial join on first a toy dataset and then two Natural Earth datasets, to show how this can be used in the real world.
In order to perform the spatial join, we use FlexiJoins.jl to perform the join, specifically using its by_pred joining method. This allows the user to specify a predicate in the following manner:
julia
[inner/left/right/outer/...]join((table1, table1),
     by_pred(:table1_column, predicate_function, :table2_column) # & add other conditions here
 )
We have enabled the use of all of GeometryOps' boolean comparisons here. These are:
julia
GO.contains, GO.within, GO.intersects, GO.touches, GO.crosses, GO.disjoint, GO.overlaps, GO.covers, GO.coveredby, GO.equals
Tip
Always place the dataframe with more complex geometries second, as that is the one which will be sorted into a tree.
Simple example ​
This example demonstrates how to perform a spatial join between two datasets: a set of polygons and a set of randomly generated points.
The polygons are represented as a DataFrame with geometries and colors, while the points are stored in a separate DataFrame.
The spatial join is performed using the contains predicate from GeometryOps, which checks if each point is contained within any of the polygons. The resulting joined DataFrame is then used to plot the points, colored according to the containing polygon.
First, we generate our data. We create two triangle polygons which, together, span the rectangle (0, 0, 1, 1), and a set of points which are randomly distributed within this rectangle.
julia
import GeoInterface as GI, GeometryOps as GO
 using FlexiJoins, DataFrames
diff --git a/previews/PR206/assets/tutorials_spatial_joins.md.AmfvD0hK.lean.js b/previews/PR206/assets/tutorials_spatial_joins.md.-orUBARR.lean.js
similarity index 99%
rename from previews/PR206/assets/tutorials_spatial_joins.md.AmfvD0hK.lean.js
rename to previews/PR206/assets/tutorials_spatial_joins.md.-orUBARR.lean.js
index fadf6f709..185dd33a9 100644
--- a/previews/PR206/assets/tutorials_spatial_joins.md.AmfvD0hK.lean.js
+++ b/previews/PR206/assets/tutorials_spatial_joins.md.-orUBARR.lean.js
@@ -1,4 +1,4 @@
-import{_ as e,c as t,j as i,a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/odiuimq.3UVIT8DR.png",p="/GeometryOps.jl/previews/PR206/assets/cvbizme.CGVb0TbM.png",k="/GeometryOps.jl/previews/PR206/assets/rvfqgwc.D0JKbChL.png",C=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),r={name:"tutorials/spatial_joins.md"},E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"};function o(g,s,y,F,c,u){return h(),t("div",null,[s[12]||(s[12]=i("h1",{id:"Spatial-joins",tabindex:"-1"},[a("Spatial joins "),i("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1)),i("p",null,[s[2]||(s[2]=a("Spatial joins are ")),s[3]||(s[3]=i("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1)),s[4]||(s[4]=a(" which are based not on equality, but on some predicate ")),i("mjx-container",E,[(h(),t("svg",d,s[0]||(s[0]=[n('',1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"p"),i("mo",{stretchy:"false"},"("),i("mi",null,"x"),i("mo",null,","),i("mi",null,"y"),i("mo",{stretchy:"false"},")")])],-1))]),s[5]||(s[5]=a(", which takes two geometries, and returns a value of either ")),s[6]||(s[6]=i("code",null,"true",-1)),s[7]||(s[7]=a(" or ")),s[8]||(s[8]=i("code",null,"false",-1)),s[9]||(s[9]=a(". For geometries, the ")),s[10]||(s[10]=i("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[i("code",null,"DE-9IM")],-1)),s[11]||(s[11]=a(" spatial relationship model is used to determine the spatial relationship between two geometries."))]),s[13]||(s[13]=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 e,c as t,j as i,a,a5 as n,o as h}from"./chunks/framework.BTiM8YUm.js";const l="/GeometryOps.jl/previews/PR206/assets/ryzpiqp.3UVIT8DR.png",p="/GeometryOps.jl/previews/PR206/assets/gkbdeqt.DPRb7wMj.png",k="/GeometryOps.jl/previews/PR206/assets/uofahab.BBILT1E3.png",C=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),r={name:"tutorials/spatial_joins.md"},E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"};function o(g,s,y,F,c,u){return h(),t("div",null,[s[12]||(s[12]=i("h1",{id:"Spatial-joins",tabindex:"-1"},[a("Spatial joins "),i("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1)),i("p",null,[s[2]||(s[2]=a("Spatial joins are ")),s[3]||(s[3]=i("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1)),s[4]||(s[4]=a(" which are based not on equality, but on some predicate ")),i("mjx-container",E,[(h(),t("svg",d,s[0]||(s[0]=[n('',1)]))),s[1]||(s[1]=i("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[i("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[i("mi",null,"p"),i("mo",{stretchy:"false"},"("),i("mi",null,"x"),i("mo",null,","),i("mi",null,"y"),i("mo",{stretchy:"false"},")")])],-1))]),s[5]||(s[5]=a(", which takes two geometries, and returns a value of either ")),s[6]||(s[6]=i("code",null,"true",-1)),s[7]||(s[7]=a(" or ")),s[8]||(s[8]=i("code",null,"false",-1)),s[9]||(s[9]=a(". For geometries, the ")),s[10]||(s[10]=i("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[i("code",null,"DE-9IM")],-1)),s[11]||(s[11]=a(" spatial relationship model is used to determine the spatial relationship between two geometries."))]),s[13]||(s[13]=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
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GeometryOps.jl
Appearance
20th April, 2024 ​
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections

-    
+    
GeometryOps.jl
Appearance
20th April, 2024 ​
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections

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GeometryOps.jl
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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
+    
GeometryOps.jl
Appearance
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
 
 all_adm0 = naturalearth("admin_0_countries", 10)
FeatureCollection with 258 Features
julia
GO.area(all_adm0)
21427.909318372607
julia
AccurateArithmetic.sum_oro(GO.area.(all_adm0.geometry))
21427.909318372607
julia
AccurateArithmetic.sum_kbn(GO.area.(all_adm0.geometry))
21427.909318372607
julia
GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum
-21427.90063612163
julia
GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_oro
-21427.90063612163
@example accurate GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_kbn ```

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GeometryOps.jl
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Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
+    
GeometryOps.jl
Appearance
Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
@@ -59,7 +58,7 @@
     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 +115,7 @@
 
 GO.intersection(p1_m, p2_m; target = GI.PolygonTrait(), fix_multipoly = nothing)
 LG.intersection(p1_m, p2_m)
Incircle ​

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GeometryOps.jl
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Paradigms ​
GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.
Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!
apply ​
The apply function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:
julia
apply(f, trait::Trait, geom)
Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.
apply will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.
apply is unlike map in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.
applyreduce ​
applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).
fix and prepare ​
The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.
In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)

-    
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GeometryOps.jl
Appearance
Paradigms ​
GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.
Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!
apply ​
The apply function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:
julia
apply(f, trait::Trait, geom)
Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.
apply will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.
apply is unlike map in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.
applyreduce ​
applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).
fix and prepare ​
The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.
In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)

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GeometryOps.jl
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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

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GeometryOps.jl
Appearance
Peculiarities ​
What does apply return and why? ​
apply returns the target geometries returned by f, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching GeoInterface.trait to the originals. All non-geointerface iterables become Arrays. Tables.jl compatible tables are converted either back to the original type if a Tables.materializer is defined, and if not then returned as generic NamedTuple column tables (i.e., a NamedTuple of vectors).
It is recommended for consistency that f returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.
Why do you want me to provide a target in set operations? ​
In polygon set operations like intersection, difference, and union, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.
We use the target keyword to allow the user to control which kinds of geometry they want back. For example, setting target to PolygonTrait will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement MultiPolygonTrait or GeometryCollectionTrait targets which will return a single geometry, as LibGEOS and ArchGDAL do.
This also allows for a lot more type stability - when you ask for polygons, we won't return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.
_True and _False (or BoolsAsTypes) ​
Warning
These are internals and explicitly not public API, meaning they may change at any time!
When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like threaded and calc_extent in apply, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about

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index ff155e8e2..8e55b29fe 100644
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diff --git a/previews/PR206/hashmap.json b/previews/PR206/hashmap.json
index a6945d2e6..0df981845 100644
--- a/previews/PR206/hashmap.json
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@@ -1 +1 @@
-{"api.md":"QUa7Ss_z","call_notes.md":"CFXDpK-N","experiments_accurate_accumulators.md":"DhvzwGsy","experiments_predicates.md":"CpjUc3OV","explanations_crs.md":"B5Hj76oG","explanations_paradigms.md":"DSPu39zK","explanations_peculiarities.md":"BOanSzoB","explanations_winding_order.md":"BZwz6WLz","index.md":"CwwOtKgW","introduction.md":"D-Mxiekf","source_geometryops.md":"Bl8uuNmY","source_methods_angles.md":"B1-STZd4","source_methods_area.md":"BcbA4w64","source_methods_barycentric.md":"DUV4hzrD","source_methods_buffer.md":"BVnL1JxU","source_methods_centroid.md":"CPX0MIF9","source_methods_clipping_clipping_processor.md":"p_8atjnC","source_methods_clipping_coverage.md":"DCAK_SSg","source_methods_clipping_cut.md":"CTRjKJaW","source_methods_clipping_difference.md":"BU-v7rrJ","source_methods_clipping_intersection.md":"Cyzt5bVi","source_methods_clipping_predicates.md":"DZdIsrEi","source_methods_clipping_union.md":"K6gVxL6j","source_methods_convex_hull.md":"CUkJ6Dyj","source_methods_distance.md":"guzV0xy7","source_methods_equals.md":"Fj1iDJXw","source_methods_geom_relations_contains.md":"BrdWw0eV","source_methods_geom_relations_coveredby.md":"Ddx8640A","source_methods_geom_relations_covers.md":"D4mRzL8Y","source_methods_geom_relations_crosses.md":"tAD8zZN8","source_methods_geom_relations_disjoint.md":"tcNuQFKm","source_methods_geom_relations_geom_geom_processors.md":"CUH5HtZJ","source_methods_geom_relations_intersects.md":"BQCKaqut","source_methods_geom_relations_overlaps.md":"j5Rj5Nnn","source_methods_geom_relations_touches.md":"DHV2ATcR","source_methods_geom_relations_within.md":"DMeEZg60","source_methods_orientation.md":"BYyqvqUO","source_methods_polygonize.md":"HMEvxaX0","source_not_implemented_yet.md":"BWcJh0ZN","source_primitives.md":"Cg8270G3","source_transformations_correction_closed_ring.md":"DCC-wJpX","source_transformations_correction_geometry_correction.md":"Jp-EGUK9","source_transformations_correction_intersecting_polygons.md":"D2tcU76D","source_transformations_extent.md":"BSqTrPlf","source_transformations_flip.md":"B9_PdEo7","source_transformations_reproject.md":"cIseUWDj","source_transformations_segmentize.md":"TV4vqUtl","source_transformations_simplify.md":"DzEuIhgq","source_transformations_transform.md":"BZNAOQev","source_transformations_tuples.md":"HS_POqfT","source_types.md":"DtjjBvJb","source_utils.md":"BBRdCaY3","tutorials_clipping_featurecollection.md":"DZsvTalO","tutorials_creating_geometry.md":"DpRT0tJ9","tutorials_geodesic_paths.md":"DCHbu63K","tutorials_spatial_joins.md":"AmfvD0hK"}
+{"api.md":"nWIynlTQ","call_notes.md":"CFXDpK-N","experiments_accurate_accumulators.md":"DhvzwGsy","experiments_predicates.md":"C-qzCNLQ","explanations_crs.md":"B5Hj76oG","explanations_paradigms.md":"DSPu39zK","explanations_peculiarities.md":"BOanSzoB","explanations_winding_order.md":"BZwz6WLz","index.md":"CwwOtKgW","introduction.md":"D-Mxiekf","source_geometryops.md":"Bl8uuNmY","source_methods_angles.md":"D5qNYsxs","source_methods_area.md":"BfsfW_YM","source_methods_barycentric.md":"D-N7Zuuf","source_methods_buffer.md":"BVnL1JxU","source_methods_centroid.md":"BmvkePnE","source_methods_clipping_clipping_processor.md":"p_8atjnC","source_methods_clipping_coverage.md":"BzXIOoc2","source_methods_clipping_cut.md":"C3S7wVB2","source_methods_clipping_difference.md":"BU-v7rrJ","source_methods_clipping_intersection.md":"Cyzt5bVi","source_methods_clipping_predicates.md":"DZdIsrEi","source_methods_clipping_union.md":"K6gVxL6j","source_methods_convex_hull.md":"BBqoxI84","source_methods_distance.md":"B4KGpAGP","source_methods_equals.md":"CW60Gw8N","source_methods_geom_relations_contains.md":"zDfupcna","source_methods_geom_relations_coveredby.md":"BdwK2Fd4","source_methods_geom_relations_covers.md":"znjyFsD_","source_methods_geom_relations_crosses.md":"tAD8zZN8","source_methods_geom_relations_disjoint.md":"DEHUMHfN","source_methods_geom_relations_geom_geom_processors.md":"CUH5HtZJ","source_methods_geom_relations_intersects.md":"BXxrGXi9","source_methods_geom_relations_overlaps.md":"BlkOdgJO","source_methods_geom_relations_touches.md":"DQ6Q8uyo","source_methods_geom_relations_within.md":"Z8eex2A-","source_methods_orientation.md":"BYyqvqUO","source_methods_polygonize.md":"HMEvxaX0","source_not_implemented_yet.md":"BWcJh0ZN","source_primitives.md":"CAXvUW2a","source_transformations_correction_closed_ring.md":"DCC-wJpX","source_transformations_correction_geometry_correction.md":"tHdSuTlr","source_transformations_correction_intersecting_polygons.md":"D2tcU76D","source_transformations_extent.md":"BSqTrPlf","source_transformations_flip.md":"B9_PdEo7","source_transformations_reproject.md":"cIseUWDj","source_transformations_segmentize.md":"Blj3b4SM","source_transformations_simplify.md":"B5DRriSB","source_transformations_transform.md":"BZNAOQev","source_transformations_tuples.md":"HS_POqfT","source_types.md":"DtjjBvJb","source_utils.md":"BBRdCaY3","tutorials_clipping_featurecollection.md":"DZsvTalO","tutorials_creating_geometry.md":"DfbUypM-","tutorials_geodesic_paths.md":"BUZnu89F","tutorials_spatial_joins.md":"-orUBARR"}
diff --git a/previews/PR206/index.html b/previews/PR206/index.html
index 40e18fe4f..9a6d42086 100644
--- a/previews/PR206/index.html
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GeometryOps.jl
Appearance
GeometryOps.jl
Blazing fast geometry operations in pure Julia
Introduction
View on Github
API Reference
GeometryOps
Julia code
Pure Julia code
Fast, understandable, extensible functions
Literate programming
Documented source code with examples!
Full integration with GeoInterface
Use any GeoInterface.jl-compatible geometry
What is GeometryOps.jl? ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.
We welcome contributions, either as pull requests or discussion on issues!
How to navigate the docs ​
GeometryOps' docs are divided into three main sections: tutorials, explanations and source code.
 Documentation and examples for many functions can be found in the source code section, since we use literate programming in GeometryOps.
  • Tutorials are meant to teach the fundamental concepts behind GeometryOps, and how to perform certain operations.
  • Explanations usually contain little code, and explain in more detail how GeometryOps works.
  • Source code usually contains explanations and examples at the top of the page, followed by annotated source code from that file.

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

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GeometryOps.jl
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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.

-    
+    
GeometryOps.jl
Appearance
Introduction ​
GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.
The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.
Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.
We welcome contributions, either as pull requests or discussion on issues!
Main concepts ​
The apply paradigm ​
Note
See the Primitive Functions page for more information on this.
The apply function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.
Functionally, it's similar to map in the way you apply it to geometries.
apply and applyreduce take any geometry, vector of geometries, collection of geometries, or table (like Shapefile.Table, DataFrame, or GeoTable)!
What's this GeoInterface.Wrapper thing? ​
Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.

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GeometryOps.jl ​
julia
module GeometryOps
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GeometryOps.jl
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GeometryOps.jl ​
julia
module GeometryOps
 
 using GeoInterface
 using GeometryBasics
@@ -92,7 +91,7 @@
 end
 
 end
This page was generated using Literate.jl.

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diff --git a/previews/PR206/source/methods/angles.html b/previews/PR206/source/methods/angles.html
index e92e6fe18..854719d4b 100644
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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
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GeometryOps.jl
Appearance
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
 
 rect = GI.Polygon([[(0.0, 0.0), (0.0, 1.0), (1.0, 1.0), (1.0, 0.0), (0.0, 0.0)]])
-f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))
This is clearly a rectangle, with angles of 90 degrees.
julia
GO.angles(rect)  # [90, 90, 90, 90]
4-element Vector{Float64}:
+f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))
This is clearly a rectangle, with angles of 90 degrees.
julia
GO.angles(rect)  # [90, 90, 90, 90]
4-element Vector{Float64}:
  90.0
  90.0
  90.0
@@ -142,7 +141,7 @@
     angle = real(acos(val) * 180 / π)
     return angle * (cross_prod < 0 ? -1 : 1)
 end
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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
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GeometryOps.jl
Appearance
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
 
 rect = GI.Polygon([[(0,0), (0,1), (1,1), (1,0), (0, 0)]])
-f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))
This is clearly a rectangle, etc. But now let's look at how the points look:
julia
lines!(
+f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))
This is clearly a rectangle, etc. But now let's look at how the points look:
julia
lines!(
     collect(GI.getpoint(rect));
     color = 1:GI.npoint(rect), linewidth = 10.0)
-f
The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a positive area.
julia
GO.signed_area(rect)  # -1.0
-1.0
Implementation ​
This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that area and signed area are zero for all points and curves, even if the curves are closed like with a linear ring. Also note that signed area really only makes sense for polygons, given with a multipolygon can have several polygons each with a different orientation and thus the absolute value of the signed area might not be the area. This is why signed area is only implemented for polygons.
Targets for applys functions
julia
const _AREA_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
+f
The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a positive area.
julia
GO.signed_area(rect)  # -1.0
-1.0
Implementation ​
This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that area and signed area are zero for all points and curves, even if the curves are closed like with a linear ring. Also note that signed area really only makes sense for polygons, given with a multipolygon can have several polygons each with a different orientation and thus the absolute value of the signed area might not be the area. This is why signed area is only implemented for polygons.
Targets for applys functions
julia
const _AREA_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
 
 """
     area(geom, [T = Float64])::T
@@ -105,7 +104,7 @@
     area += _area_component(p1, p2)
     return T(area / 2)
 end
This page was generated using Literate.jl.

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Barycentric coordinates ​
julia
export barycentric_coordinates, barycentric_coordinates!, barycentric_interpolate
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GeometryOps.jl
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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.
In the case of a triangle, barycentric coordinates are a set of three numbers (λ1,λ2,λ3), 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.
For a polygon with n vertices, generalized barycentric coordinates are a set of n numbers (λ1,λ2,...,λn), 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.
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
@@ -85,7 +84,7 @@
 # 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 +432,7 @@
 
 struct Wachspress <: AbstractBarycentricCoordinateMethod
 end
This page was generated using Literate.jl.

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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...)
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GeometryOps.jl
Appearance
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)
@@ -29,7 +28,7 @@
         println(io, " in your REPL, \nor otherwise loading LibGEOS.jl via using or import.")
     end
 end
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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
+    
GeometryOps.jl
Appearance
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
 
 cshape = GI.Polygon([[(0,0), (0,3), (3,3), (3,2), (1,2), (1,1), (3,1), (3,0), (0,0)]])
-f, a, p = poly(collect(GI.getpoint(cshape)); axis = (; aspect = DataAspect()))
Let's see what the centroid looks like (plotted in red):
julia
cent = GO.centroid(cshape)
+f, a, p = poly(collect(GI.getpoint(cshape)); axis = (; aspect = DataAspect()))
Let's see what the centroid looks like (plotted in red):
julia
cent = GO.centroid(cshape)
 scatter!(GI.x(cent), GI.y(cent), color = :red)
-f
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.
The helper functions centroid_and_length and centroid_and_area are made available just in case the user also needs the area or length to decrease repeat computation.
julia
"""
+f
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.
The helper functions centroid_and_length and centroid_and_area are made available just in case the user also needs the area or length to decrease repeat computation.
julia
"""
     centroid(geom, [T=Float64])::Tuple{T, T}
 
 Returns the centroid of a given line segment, linear ring, polygon, or
@@ -111,7 +110,7 @@
     y = (y1 * area1 + y2 * area2) / area
     return (x, y), area
 end
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diff --git a/previews/PR206/source/methods/clipping/clipping_processor.html b/previews/PR206/source/methods/clipping/clipping_processor.html
index cf456f55b..b44636617 100644
--- a/previews/PR206/source/methods/clipping/clipping_processor.html
+++ b/previews/PR206/source/methods/clipping/clipping_processor.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
Appearance
Polygon clipping helpers ​
This file contains the shared helper functions for the polygon clipping functionalities.
This enum defines which side of an edge a point is on
julia
@enum PointEdgeSide left=1 right=2 unknown=3
Constants assigned for readability
julia
const enter, exit = true, false
+    
GeometryOps.jl
Appearance
Polygon clipping helpers ​
This file contains the shared helper functions for the polygon clipping functionalities.
This 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
@@ -526,7 +525,7 @@
     end
     return
 end
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diff --git a/previews/PR206/source/methods/clipping/coverage.html b/previews/PR206/source/methods/clipping/coverage.html
index f9a240c97..f511475ac 100644
--- a/previews/PR206/source/methods/clipping/coverage.html
+++ b/previews/PR206/source/methods/clipping/coverage.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
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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
+    
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 +27,7 @@
 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 +240,7 @@
     y_wall = (wall == NORTH || wall == WEST) ? ymax : ymin
     return x1 * y_wall - x_wall * y1
 end
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diff --git a/previews/PR206/source/methods/clipping/cut.html b/previews/PR206/source/methods/clipping/cut.html
index 10230a9b6..900214e76 100644
--- a/previews/PR206/source/methods/clipping/cut.html
+++ b/previews/PR206/source/methods/clipping/cut.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
Appearance
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
+    
GeometryOps.jl
Appearance
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
 using CairoMakie
 using Makie
 
@@ -29,7 +28,7 @@
 f, a, p1 = Makie.poly(collect(GI.getpoint(cut_polys[1])); color = (:blue, 0.5))
 Makie.poly!(collect(GI.getpoint(cut_polys[2])); color = (:orange, 0.5))
 Makie.lines!(GI.getpoint(line); color = :black)
-f
Implementation ​
This function depends on polygon clipping helper function and is inspired by the Greiner-Hormann clipping algorithm used elsewhere in this library. The inspiration came from this Stack Overflow discussion.
julia
"""
+f
Implementation ​
This function depends on polygon clipping helper function and is inspired by the Greiner-Hormann clipping algorithm used elsewhere in this library. The inspiration came from this Stack Overflow discussion.
julia
"""
     cut(geom, line, [T::Type])
 
 Return given geom cut by given line as a list of geometries of the same type as the input
@@ -105,7 +104,7 @@
     end
     return return_coords
 end
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diff --git a/previews/PR206/source/methods/clipping/difference.html b/previews/PR206/source/methods/clipping/difference.html
index 9e0c0d4b4..bfd3ecd1e 100644
--- a/previews/PR206/source/methods/clipping/difference.html
+++ b/previews/PR206/source/methods/clipping/difference.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
Appearance
Difference Polygon Clipping ​
julia
export difference
+    
GeometryOps.jl
Appearance
Difference Polygon Clipping ​
julia
export difference
 
 
 """
@@ -184,7 +183,7 @@
     )
     return nothing
 end
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diff --git a/previews/PR206/source/methods/clipping/intersection.html b/previews/PR206/source/methods/clipping/intersection.html
index 4e014defb..edbee2c71 100644
--- a/previews/PR206/source/methods/clipping/intersection.html
+++ b/previews/PR206/source/methods/clipping/intersection.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
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Geometry Intersection ​
julia
export intersection, intersection_points
+    
GeometryOps.jl
Appearance
Geometry Intersection ​
julia
export intersection, intersection_points
 
 """
     Enum LineOrientation
@@ -401,7 +400,7 @@
         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)
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diff --git a/previews/PR206/source/methods/clipping/predicates.html b/previews/PR206/source/methods/clipping/predicates.html
index 4ad9f9ee6..11250fc8c 100644
--- a/previews/PR206/source/methods/clipping/predicates.html
+++ b/previews/PR206/source/methods/clipping/predicates.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
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julia
module Predicates
+    
GeometryOps.jl
Appearance
julia
module Predicates
     using ExactPredicates, ExactPredicates.Codegen
     import ExactPredicates: ext
     import ExactPredicates.Codegen: group!, @genpredicate
@@ -62,7 +61,7 @@
 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
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diff --git a/previews/PR206/source/methods/clipping/union.html b/previews/PR206/source/methods/clipping/union.html
index ab6032d21..ff7959f32 100644
--- a/previews/PR206/source/methods/clipping/union.html
+++ b/previews/PR206/source/methods/clipping/union.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
Appearance
Union Polygon Clipping ​
julia
export union
+    
GeometryOps.jl
Appearance
Union Polygon Clipping ​
julia
export union
 
 """
     union(geom_a, geom_b, [::Type{T}]; target::Type, fix_multipoly = UnionIntersectingPolygons())
@@ -269,7 +268,7 @@
     throw(ArgumentError("Union between $trait_a and $trait_b with target $Target isn't implemented yet."))
     return nothing
 end
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diff --git a/previews/PR206/source/methods/convex_hull.html b/previews/PR206/source/methods/convex_hull.html
index 2efd17c1f..88284ada0 100644
--- a/previews/PR206/source/methods/convex_hull.html
+++ b/previews/PR206/source/methods/convex_hull.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
Appearance
Convex hull ​
The convex hull of a set of points is the smallest convex polygon that contains all the points.
GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
Example ​
Simple hull ​
julia
import GeometryOps as GO, GeoInterface as GI
+    
GeometryOps.jl
Appearance
Convex hull ​
The convex hull of a set of points is the smallest convex polygon that contains all the points.
GeometryOps.jl provides a number of methods for computing the convex hull of a set of points, usually linked to other Julia packages.
For now, we expose one algorithm, MonotoneChainMethod, which uses the DelaunayTriangulation.jl package. The GEOS() interface also supports convex hulls.
Future work could include other algorithms, such as Quickhull.jl, or similar, via package extensions.
Example ​
Simple hull ​
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 
 points = randn(GO.Point2f, 100)
@@ -26,7 +25,7 @@
 hull_poly = GO.convex_hull(points)
 lines!(a, hull_poly; label = "Convex hull", color = Makie.wong_colors()[2])
 axislegend(a)
-f
Convex hull of the USA ​
julia
import GeometryOps as GO, GeoInterface as GI
+f
Convex hull of the USA ​
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie # to plot
 using NaturalEarth # for data
 
@@ -34,7 +33,7 @@
 usa = all_adm0.geometry[findfirst(==("USA"), all_adm0.ADM0_A3)]
 f, a, p = lines(usa)
 lines!(a, GO.convex_hull(usa); color = Makie.wong_colors()[2])
-f
Investigating the winding order ​
The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.
GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.
In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!
We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...
julia
import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
+f
Investigating the winding order ​
The winding order of the monotone chain method is counterclockwise, while the winding order of the GEOS method is clockwise.
GeometryOps' convexity detection says that the GEOS hull is convex, while the monotone chain method hull is not. However, they are both going over the same points (we checked), it's just that the winding order is different.
In reality, both sets are convex, but we need to fix the GeometryOps convexity detector (isconcave)!
We may also decide at a later date to change the returned winding order of the polygon, but most algorithms are robust to that, and you can always fix it...
julia
import GeoInterface as GI, GeometryOps as GO, LibGEOS as LG
 using CairoMakie # to plot
 
 points = rand(Point2{Float64}, 100)
@@ -45,7 +44,7 @@
 a1, p1 = lines(fig[1, 1], go_hull; color = 1:GI.npoint(go_hull), axis = (; title = "MonotoneChainMethod()"))
 a2, p2 = lines(fig[2, 1], lg_hull; color = 1:GI.npoint(lg_hull), axis = (; title = "GEOS()"))
 cb = Colorbar(fig[1:2, 2], p1; label = "Vertex number")
-fig
Implementation ​
julia
"""
+fig
Implementation ​
julia
"""
     convex_hull([method], geometries)
 
 Compute the convex hull of the points in `geometries`.
@@ -75,7 +74,7 @@
 struct MonotoneChainMethod end
GrahamScanMethod, etc. can be implemented in GO as well, if someone wants to. If we add an extension on Quickhull.jl, then that would be another algorithm.
julia
convex_hull(geometries) = convex_hull(MonotoneChainMethod(), geometries)
TODO: have this respect the CRS by pulling it out of geometries.
julia
function convex_hull(::MonotoneChainMethod, geometries)
Extract all points as tuples. We have to collect and allocate here, because DelaunayTriangulation only accepts vectors of point-like geoms.
Cleanest would be to use the iterable from GO.flatten directly, but that would require us to implement the convex hull algorithm directly.
TODO: create a specialized method that extracts only the information required, GeometryBasics points can be passed through directly.
julia
    points = collect(flatten(tuples, GI.PointTrait, geometries))
Compute the convex hull using DelTri (shorthand for DelaunayTriangulation.jl).
julia
    hull = DelaunayTriangulation.convex_hull(points)
Convert the result to a GI.Polygon and return it. View would be more efficient here, but re-allocating is cleaner.
julia
    point_vec = DelaunayTriangulation.get_points(hull)[DelaunayTriangulation.get_vertices(hull)]
     return GI.Polygon([GI.LinearRing(point_vec)])
 end
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diff --git a/previews/PR206/source/methods/distance.html b/previews/PR206/source/methods/distance.html
index d08182d1c..85198eefc 100644
--- a/previews/PR206/source/methods/distance.html
+++ b/previews/PR206/source/methods/distance.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
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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
+    
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 +28,13 @@
 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 +198,7 @@
     end
     return min_dist
 end
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diff --git a/previews/PR206/source/methods/equals.html b/previews/PR206/source/methods/equals.html
index 8283f3b14..9d2f78549 100644
--- a/previews/PR206/source/methods/equals.html
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GeometryOps.jl
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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
+    
GeometryOps.jl
Appearance
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
@@ -29,7 +28,7 @@
 scatter!(GI.getpoint(l1), color = :blue)
 lines!(GI.getpoint(l2), color = :orange)
 scatter!(GI.getpoint(l2), color = :orange)
-f
We can see that the two lines do not share a common set of points and edges in the plot, so they are not equal:
julia
GO.equals(l1, l2)  # returns false
false
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that while we need the same set of points and edges, they don't need to be provided in the same order for polygons. For for example, we need the same set points for two multipoints to be equal, but they don't have to be saved in the same order. The winding order also doesn't have to be the same to represent the same geometry. This requires checking every point against every other point in the two geometries we are comparing. Also, some geometries must be "closed" like polygons and linear rings. These will be assumed to be closed, even if they don't have a repeated last point explicitly written in the coordinates. Additionally, geometries and multi-geometries can be equal if the multi-geometry only includes that single geometry.
julia
"""
+f
We can see that the two lines do not share a common set of points and edges in the plot, so they are not equal:
julia
GO.equals(l1, l2)  # returns false
false
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that while we need the same set of points and edges, they don't need to be provided in the same order for polygons. For for example, we need the same set points for two multipoints to be equal, but they don't have to be saved in the same order. The winding order also doesn't have to be the same to represent the same geometry. This requires checking every point against every other point in the two geometries we are comparing. Also, some geometries must be "closed" like polygons and linear rings. These will be assumed to be closed, even if they don't have a repeated last point explicitly written in the coordinates. Additionally, geometries and multi-geometries can be equal if the multi-geometry only includes that single geometry.
julia
"""
     equals(geom1, geom2)::Bool
 
 Compare two Geometries return true if they are the same geometry.
@@ -283,7 +282,7 @@
     end
     return true
 end
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diff --git a/previews/PR206/source/methods/geom_relations/contains.html b/previews/PR206/source/methods/geom_relations/contains.html
index ff60fbd6a..77bdf026c 100644
--- a/previews/PR206/source/methods/geom_relations/contains.html
+++ b/previews/PR206/source/methods/geom_relations/contains.html
@@ -8,17 +8,16 @@
     
     
     
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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
+    
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 +28,7 @@
 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 +50,7 @@
 ```
 """
 contains(g1, g2) = GeometryOps.within(g2, g1)
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diff --git a/previews/PR206/source/methods/geom_relations/coveredby.html b/previews/PR206/source/methods/geom_relations/coveredby.html
index f7a609e45..d573fd09c 100644
--- a/previews/PR206/source/methods/geom_relations/coveredby.html
+++ b/previews/PR206/source/methods/geom_relations/coveredby.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
Appearance
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
+    
GeometryOps.jl
Appearance
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
@@ -27,7 +26,7 @@
 l1 = GI.Line([p1, (1.0, 1.0)])
 f, a, p = lines(GI.getpoint(l1))
 scatter!(p1, color = :red)
-f
As we can see, p1 is on the endpoint of l1. This means it is not within, but it does meet the definition of coveredby.
julia
GO.coveredby(p1, l1)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.
Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the coveredby function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2
The code for the specific implementations is in the geom_geom_processors file.
julia
const COVEREDBY_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
+f
As we can see, p1 is on the endpoint of l1. This means it is not within, but it does meet the definition of coveredby.
julia
GO.coveredby(p1, l1)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.
Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the coveredby function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2
The code for the specific implementations is in the geom_geom_processors file.
julia
const COVEREDBY_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
 const COVEREDBY_CURVE_ALLOWS = (over_allow = true, cross_allow = true, on_allow = true, out_allow = false)
 const COVEREDBY_CURVE_REQUIRES = (in_require = false, on_require = false, out_require = false)
 const COVEREDBY_POLYGON_REQUIRES = (in_require = true, on_require = false, out_require = false,)
@@ -201,7 +200,7 @@
     end
     return true
 end
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diff --git a/previews/PR206/source/methods/geom_relations/covers.html b/previews/PR206/source/methods/geom_relations/covers.html
index c334b73f3..5453618ca 100644
--- a/previews/PR206/source/methods/geom_relations/covers.html
+++ b/previews/PR206/source/methods/geom_relations/covers.html
@@ -8,17 +8,16 @@
     
     
     
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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
+    
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 +28,7 @@
 
 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 +50,7 @@
 ```
 """
 covers(g1, g2)::Bool = GeometryOps.coveredby(g2, g1)
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diff --git a/previews/PR206/source/methods/geom_relations/crosses.html b/previews/PR206/source/methods/geom_relations/crosses.html
index b8f4749a3..88ec2ed68 100644
--- a/previews/PR206/source/methods/geom_relations/crosses.html
+++ b/previews/PR206/source/methods/geom_relations/crosses.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
Appearance
Crossing checks ​
julia
"""
+    
GeometryOps.jl
Appearance
Crossing checks ​
julia
"""
      crosses(geom1, geom2)::Bool
 
 Return `true` if the intersection results in a geometry whose dimension is one less than
@@ -138,7 +137,7 @@
     end
     return false
 end
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diff --git a/previews/PR206/source/methods/geom_relations/disjoint.html b/previews/PR206/source/methods/geom_relations/disjoint.html
index 62ef1d780..873145329 100644
--- a/previews/PR206/source/methods/geom_relations/disjoint.html
+++ b/previews/PR206/source/methods/geom_relations/disjoint.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
Appearance
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
+    
GeometryOps.jl
Appearance
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
@@ -29,7 +28,7 @@
 scatter!(GI.getpoint(l1), color = :blue)
 lines!(GI.getpoint(l2), color = :orange)
 scatter!(GI.getpoint(l2), color = :orange)
-f
We can see that none of the edges or vertices of l1 interact with l2 so they are disjoint.
julia
GO.disjoint(l1, l2)  # returns true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.
Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the disjoint function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are not allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2
The code for the specific implementations is in the geom_geom_processors file.
julia
const DISJOINT_ALLOWS = (in_allow = false, on_allow = false, out_allow = true)
+f
We can see that none of the edges or vertices of l1 interact with l2 so they are disjoint.
julia
GO.disjoint(l1, l2)  # returns true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.
Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the disjoint function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are not allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2
The code for the specific implementations is in the geom_geom_processors file.
julia
const DISJOINT_ALLOWS = (in_allow = false, on_allow = false, out_allow = true)
 const DISJOINT_CURVE_ALLOWS = (over_allow = false, cross_allow = false, on_allow = false, out_allow = true)
 const DISJOINT_REQUIRES = (in_require = false, on_require = false, out_require = false)
 const DISJOINT_EXACT = (exact = _False(),)
@@ -196,7 +195,7 @@
     end
     return true
 end
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diff --git a/previews/PR206/source/methods/geom_relations/geom_geom_processors.html b/previews/PR206/source/methods/geom_relations/geom_geom_processors.html
index f27294e2b..c788c5749 100644
--- a/previews/PR206/source/methods/geom_relations/geom_geom_processors.html
+++ b/previews/PR206/source/methods/geom_relations/geom_geom_processors.html
@@ -8,17 +8,16 @@
     
     
     
-    
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GeometryOps.jl
Appearance
Line-curve interaction ​
julia
#= Code is based off of DE-9IM Standards (https://en.wikipedia.org/wiki/DE-9IM)
+    
GeometryOps.jl
Appearance
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.
 =#
 
@@ -455,7 +454,7 @@
     end
     return skip, returnval
 end
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diff --git a/previews/PR206/source/methods/geom_relations/intersects.html b/previews/PR206/source/methods/geom_relations/intersects.html
index 21550ce8a..457de0c60 100644
--- a/previews/PR206/source/methods/geom_relations/intersects.html
+++ b/previews/PR206/source/methods/geom_relations/intersects.html
@@ -8,17 +8,16 @@
     
     
     
-    
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GeometryOps.jl
Appearance
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
+    
GeometryOps.jl
Appearance
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
@@ -27,7 +26,7 @@
 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 +44,7 @@
 ```
 """
 intersects(geom1, geom2) = !disjoint(geom1, geom2)
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diff --git a/previews/PR206/source/methods/geom_relations/overlaps.html b/previews/PR206/source/methods/geom_relations/overlaps.html
index fcdbc5d3f..c955b2392 100644
--- a/previews/PR206/source/methods/geom_relations/overlaps.html
+++ b/previews/PR206/source/methods/geom_relations/overlaps.html
@@ -8,17 +8,16 @@
     
     
     
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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
+    
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 +28,7 @@
 scatter!(GI.getpoint(l1), color = :blue)
 lines!(GI.getpoint(l2), color = :orange)
 scatter!(GI.getpoint(l2), color = :orange)
-f
We can see that the two lines overlap in the plot:
julia
GO.overlaps(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions automatically can return false.
For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectively, without being contained.
julia
"""
+f
We can see that the two lines overlap in the plot:
julia
GO.overlaps(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!
Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions automatically can return false.
For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectively, without being contained.
julia
"""
     overlaps(geom1, geom2)::Bool
 
 Compare two Geometries of the same dimension and return true if their
@@ -230,7 +229,7 @@
     seg_val, _, _ = _intersection_point(Float64, edge_a, edge_b; exact = _False())
     return seg_val != line_out
 end
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diff --git a/previews/PR206/source/methods/geom_relations/touches.html b/previews/PR206/source/methods/geom_relations/touches.html
index 3099b42b9..d03335331 100644
--- a/previews/PR206/source/methods/geom_relations/touches.html
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@@ -8,17 +8,16 @@
     
     
     
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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
+    
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 +27,7 @@
 
 f, a, p = lines(GI.getpoint(l1))
 lines!(GI.getpoint(l2))
-f
We can see that these two lines touch only at their endpoints.
julia
GO.touches(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.
Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the touches function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - at least one point of g1 is required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2
The code for the specific implementations is in the geom_geom_processors file.
julia
const TOUCHES_POINT_ALLOWED = (in_allow = false, on_allow = true, out_allow = false)
+f
We can see that these two lines touch only at their endpoints.
julia
GO.touches(l1, l2)  # true
true
Implementation ​
This is the GeoInterface-compatible implementation.
First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.
Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the touches function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - at least one point of g1 is required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2
The code for the specific implementations is in the geom_geom_processors file.
julia
const TOUCHES_POINT_ALLOWED = (in_allow = false, on_allow = true, out_allow = false)
 const TOUCHES_CURVE_ALLOWED = (over_allow = false, cross_allow = false, on_allow = true, out_allow = true)
 const TOUCHES_POLYGON_ALLOWS = (in_allow = false, on_allow = true, out_allow = true)
 const TOUCHES_REQUIRES = (in_require = false, on_require = true, out_require = false)
@@ -192,7 +191,7 @@
     end
     return true
 end
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diff --git a/previews/PR206/source/methods/geom_relations/within.html b/previews/PR206/source/methods/geom_relations/within.html
index 1aa9d139c..d3ca47694 100644
--- a/previews/PR206/source/methods/geom_relations/within.html
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GeometryOps.jl
Appearance
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
+    
GeometryOps.jl
Appearance
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
@@ -29,7 +28,7 @@
 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 +210,7 @@
     end
     return true
 end
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diff --git a/previews/PR206/source/methods/orientation.html b/previews/PR206/source/methods/orientation.html
index 858a4f333..d7068708c 100644
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GeometryOps.jl
Appearance
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
"""
+    
GeometryOps.jl
Appearance
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
@@ -118,7 +117,7 @@
     _isparallel(bx - ax, by - ay, dx - cx, dy - cy)
 
 _isparallel(Δx1, Δy1, Δx2, Δy2) = (Δx1 * Δy2 == Δy1 * Δx2)
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diff --git a/previews/PR206/source/methods/polygonize.html b/previews/PR206/source/methods/polygonize.html
index 59d105075..760672514 100644
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GeometryOps.jl
Appearance
Polygonizing raster data ​
julia
export polygonize
+    
GeometryOps.jl
Appearance
Polygonizing raster data ​
julia
export polygonize
 
 #=
 The methods in this file convert a raster image into a set of polygons,
@@ -307,7 +306,7 @@
     end
     return edges
 end
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diff --git a/previews/PR206/source/not_implemented_yet.html b/previews/PR206/source/not_implemented_yet.html
index 84a697142..d3ce42266 100644
--- a/previews/PR206/source/not_implemented_yet.html
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GeometryOps.jl
Appearance
Not implemented yet ​
All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.
julia
function symdifference end
+    
GeometryOps.jl
Appearance
Not implemented yet ​
All of the functions in this file are not implemented in Julia yet. Some of them may have implementations in LibGEOS which we can use via an extension, but there is no native-Julia implementation for them.
julia
function symdifference end
 function buffer end
 function convexhull end
 function concavehull end
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diff --git a/previews/PR206/source/primitives.html b/previews/PR206/source/primitives.html
index 6704b4c46..246525cc5 100644
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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
+    
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.
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`."
+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.
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`."
 
@@ -347,7 +346,7 @@
 Base.@assume_effects :foldable function _mapreducetasks(f::F, op, taskrange, threaded::_False; init) where F
     mapreduce(f, op, taskrange; init)
 end
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diff --git a/previews/PR206/source/transformations/correction/closed_ring.html b/previews/PR206/source/transformations/correction/closed_ring.html
index bb703de52..57f5b3957 100644
--- a/previews/PR206/source/transformations/correction/closed_ring.html
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GeometryOps.jl
Appearance
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
+    
GeometryOps.jl
Appearance
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)
You can see that the last point of the ring here is equal to the first point. For a polygon with n sides, there should be n+1 vertices.
Implementation ​
julia
"""
     ClosedRing() <: GeometryCorrection
@@ -48,7 +47,7 @@
     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
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diff --git a/previews/PR206/source/transformations/correction/geometry_correction.html b/previews/PR206/source/transformations/correction/geometry_correction.html
index ee657dd45..9979df129 100644
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GeometryOps.jl
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Geometry Corrections ​
julia
export fix
This file simply defines the GeometryCorrection abstract type, and the interface that any GeometryCorrection must implement.
A geometry correction is a transformation that is applied to a geometry to correct it in some way.
For example, a ClosedRing correction might be applied to a Polygon to ensure that its exterior ring is closed.
Interface ​
All GeometryCorrections are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).
See below for the full interface specification.
# GeometryOps.GeometryCorrection — Type. 
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source

Any geometry correction must implement the interface as given above.
julia
"""
+    
GeometryOps.jl
Appearance
Geometry Corrections ​
julia
export fix
This file simply defines the GeometryCorrection abstract type, and the interface that any GeometryCorrection must implement.
A geometry correction is a transformation that is applied to a geometry to correct it in some way.
For example, a ClosedRing correction might be applied to a Polygon to ensure that its exterior ring is closed.
Interface ​
All GeometryCorrections are callable structs which, when called, apply the correction to the given geometry, and return either a copy or the original geometry (if nothing needed to be corrected).
See below for the full interface specification.
# GeometryOps.GeometryCorrection Type
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source
Any geometry correction must implement the interface as given above.
julia
"""
     abstract type GeometryCorrection
 
 This abstract type represents a geometry correction.
@@ -48,8 +47,8 @@
         final_geometry = apply(net_function, Trait, final_geometry; kwargs...)
     end
     return final_geometry
-end
Available corrections ​
# GeometryOps.ClosedRing — Type. 
julia
ClosedRing() <: GeometryCorrection
This correction ensures that a polygon's exterior and interior rings are closed.
It can be called on any geometry correction as usual.
See also GeometryCorrection.
source

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

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

# GeometryOps.UnionIntersectingPolygons — Type. 
julia
UnionIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygon's included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.
See also GeometryCorrection.
source

This page was generated using Literate.jl.

-    
+end
Available corrections ​
# GeometryOps.ClosedRing Type
julia
ClosedRing() <: GeometryCorrection
This correction ensures that a polygon's exterior and interior rings are closed.
It can be called on any geometry correction as usual.
See also GeometryCorrection.
source
# GeometryOps.DiffIntersectingPolygons Type
julia
DiffIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygons included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be made nonintersecting through the difference operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also GeometryCorrection, UnionIntersectingPolygons.
source
# GeometryOps.GeometryCorrection Type
julia
abstract type GeometryCorrection
This abstract type represents a geometry correction.
Interface
Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.
source
# GeometryOps.UnionIntersectingPolygons Type
julia
UnionIntersectingPolygons() <: GeometryCorrection
This correction ensures that the polygon's included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.
See also GeometryCorrection.
source
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diff --git a/previews/PR206/source/transformations/correction/intersecting_polygons.html b/previews/PR206/source/transformations/correction/intersecting_polygons.html
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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
+    
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 +114,7 @@
     end
     return diff_multipoly
 end
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diff --git a/previews/PR206/source/transformations/extent.html b/previews/PR206/source/transformations/extent.html
index f3c8d7506..65964d579 100644
--- a/previews/PR206/source/transformations/extent.html
+++ b/previews/PR206/source/transformations/extent.html
@@ -8,17 +8,16 @@
     
     
     
-    
+    
     
-    
+    
     
     
-    
     
     
   
   
-    
GeometryOps.jl
Appearance
Extent embedding ​
julia
"""
+    
GeometryOps.jl
Appearance
Extent embedding ​
julia
"""
     embed_extent(obj)
 
 Recursively wrap the object with a GeoInterface.jl geometry,
@@ -31,7 +30,7 @@
 """
 embed_extent(x; threaded=false, crs=nothing) =
     apply(identity, GI.PointTrait(), x; calc_extent=true, threaded, crs)
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diff --git a/previews/PR206/source/transformations/flip.html b/previews/PR206/source/transformations/flip.html
index 37e721fb3..a5da22c2c 100644
--- a/previews/PR206/source/transformations/flip.html
+++ b/previews/PR206/source/transformations/flip.html
@@ -8,17 +8,16 @@
     
     
     
-    
+    
     
-    
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-    
     
     
   
   
-    
GeometryOps.jl
Appearance
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
"""
+    
GeometryOps.jl
Appearance
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
@@ -40,7 +39,7 @@
         end
     end
 end
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diff --git a/previews/PR206/source/transformations/reproject.html b/previews/PR206/source/transformations/reproject.html
index 21ea37f76..e16e08741 100644
--- a/previews/PR206/source/transformations/reproject.html
+++ b/previews/PR206/source/transformations/reproject.html
@@ -8,17 +8,16 @@
     
     
     
-    
+    
     
-    
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-    
     
     
   
   
-    
GeometryOps.jl
Appearance
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
"""
+    
GeometryOps.jl
Appearance
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
"""
     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)
@@ -59,7 +58,7 @@
         nothing
     end
 end
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diff --git a/previews/PR206/source/transformations/segmentize.html b/previews/PR206/source/transformations/segmentize.html
index aa36b649b..bccd58fd0 100644
--- a/previews/PR206/source/transformations/segmentize.html
+++ b/previews/PR206/source/transformations/segmentize.html
@@ -8,17 +8,16 @@
     
     
     
-    
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GeometryOps.jl
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Segmentize ​
julia
export segmentize
+    
GeometryOps.jl
Appearance
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)
@@ -39,7 +38,7 @@
 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 +76,7 @@
 
 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 +171,7 @@
     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.
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diff --git a/previews/PR206/source/transformations/simplify.html b/previews/PR206/source/transformations/simplify.html
index 3834724f8..8d86b945c 100644
--- a/previews/PR206/source/transformations/simplify.html
+++ b/previews/PR206/source/transformations/simplify.html
@@ -8,17 +8,16 @@
     
     
     
-    
+    
     
-    
+    
     
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GeometryOps.jl
Appearance
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
+    
GeometryOps.jl
Appearance
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
 
@@ -29,7 +28,7 @@
 f, a, p = poly(original; label = "Original")
 poly!(simple; label = "Simplified")
 axislegend(a)
-f
Benchmark ​
We benchmark these methods against LibGEOS's simplify implementation, which uses the Douglas-Peucker algorithm.
julia
using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
+f
Benchmark ​
We benchmark these methods against LibGEOS's simplify implementation, which uses the Douglas-Peucker algorithm.
julia
using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
 import GeometryOps as GO, LibGEOS as LG, GeoInterface as GI
 using CoordinateTransformations
 using NaturalEarth
@@ -42,7 +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"))
@@ -56,7 +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)
@@ -75,7 +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
@@ -508,7 +507,7 @@
     end
     return nothing
 end
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diff --git a/previews/PR206/source/transformations/transform.html b/previews/PR206/source/transformations/transform.html
index 575e2bd03..14ab75dda 100644
--- a/previews/PR206/source/transformations/transform.html
+++ b/previews/PR206/source/transformations/transform.html
@@ -8,17 +8,16 @@
     
     
     
-    
+    
     
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-    
     
     
   
   
-    
GeometryOps.jl
Appearance
Pointwise transformation ​
julia
"""
+    
GeometryOps.jl
Appearance
Pointwise transformation ​
julia
"""
     transform(f, obj)
 
 Apply a function `f` to all the points in `obj`.
@@ -73,7 +72,7 @@
         end
     end
 end
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diff --git a/previews/PR206/source/transformations/tuples.html b/previews/PR206/source/transformations/tuples.html
index 1cad8c1c9..e5d0f0cd3 100644
--- a/previews/PR206/source/transformations/tuples.html
+++ b/previews/PR206/source/transformations/tuples.html
@@ -8,17 +8,16 @@
     
     
     
-    
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-    
GeometryOps.jl
Appearance
Tuple conversion ​
julia
"""
+    
GeometryOps.jl
Appearance
Tuple conversion ​
julia
"""
     tuples(obj)
 
 Convert all points in `obj` to `Tuple`s, wherever the are nested.
@@ -37,7 +36,7 @@
         end
     end
 end
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diff --git a/previews/PR206/source/types.html b/previews/PR206/source/types.html
index 55ddf23d2..dc9ad2adf 100644
--- a/previews/PR206/source/types.html
+++ b/previews/PR206/source/types.html
@@ -8,17 +8,16 @@
     
     
     
-    
+    
     
-    
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GeometryOps.jl
Appearance
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
"""
+    
GeometryOps.jl
Appearance
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.
@@ -85,7 +84,7 @@
         error("$(f) requires a `$(kw)` keyword argument to the `GEOS` algorithm, which was not provided.")
     end
 end
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diff --git a/previews/PR206/source/utils.html b/previews/PR206/source/utils.html
index 0cb45e217..aa6ae6722 100644
--- a/previews/PR206/source/utils.html
+++ b/previews/PR206/source/utils.html
@@ -8,17 +8,16 @@
     
     
     
-    
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-    
GeometryOps.jl
Appearance
Utility functions ​
julia
_is3d(geom)::Bool = _is3d(GI.trait(geom), geom)
+    
GeometryOps.jl
Appearance
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))
@@ -141,7 +140,7 @@
 
 _linearring(geom::GI.LineString) = GI.LinearRing(parent(geom); extent=geom.extent, crs=geom.crs)
 _linearring(geom::GI.LinearRing) = geom
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diff --git a/previews/PR206/tutorials/clipping_featurecollection.html b/previews/PR206/tutorials/clipping_featurecollection.html
index fc8131cf6..e0d1093ca 100644
--- a/previews/PR206/tutorials/clipping_featurecollection.html
+++ b/previews/PR206/tutorials/clipping_featurecollection.html
@@ -8,17 +8,16 @@
     
     
     
-    
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GeometryOps.jl
Appearance
Clipping a FeatureCollection by a polygon ​
Often, one might want to clip a feature collection (maybe from Shapefile or GeoJSON)
julia
function clip_or_empty(polygon, clipper)
+    
GeometryOps.jl
Appearance
Clipping a FeatureCollection by a polygon ​
Often, one might want to clip a feature collection (maybe from Shapefile or GeoJSON)
julia
function clip_or_empty(polygon, clipper)
     #=
     result = GO.intersection(polygon, clipper; target = GI.PolygonTrait())
     if isempty(result)
@@ -34,7 +33,7 @@
 poly!(a, clipping_poly; color = Makie.Cycled(2))
 f
Finally, we clip, and show the output:
@example
clipped_geoms = clip_or_empty.(df.geometry, (clipping_poly,))
@example
poly!(a, clipped_geoms; color = Makie.Cycled(3), strokewidth = 0.75, strokecolor = :forestgreen)
 f

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diff --git a/previews/PR206/tutorials/creating_geometry.html b/previews/PR206/tutorials/creating_geometry.html
index 01615e0ed..c0a3fc332 100644
--- a/previews/PR206/tutorials/creating_geometry.html
+++ b/previews/PR206/tutorials/creating_geometry.html
@@ -8,17 +8,16 @@
     
     
     
-    
+    
     
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+    
     
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GeometryOps.jl
Appearance
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
+    
GeometryOps.jl
Appearance
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
@@ -28,37 +27,37 @@
 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 +67,7 @@
 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/f5FPN/assets/ne_110m_land.geojson"
Note
Natural Earth has lots of other datasets, and there is a Julia package that provides an interface to it called NaturalEarth.jl.
Read the land MultiPolygons as a GeoJSON.FeatureCollection.
julia
land_geo = GeoJSON.read(land_path)
FeatureCollection with 127 Features
We then need to create a figure with a GeoAxis that can handle the projection between source and destination CRS. For GeoMakie, source is the CRS of the input and dest is the CRS you want to visualize in.
julia
fig = Figure(size=(1000, 500));
+fig
Great, now we can make Points, MultiPoints, Lines, LineStrings, Polygons (with holes), and MultiPolygons and modify them using [CoordinateTransformations] and [GeometryOps].
Plot geometries on a map using GeoMakie and coordinate reference system (CRS) ​
In geospatial sciences we often have data in one Coordinate Reference System (CRS) (source) and would like to display it in different (destination) CRS. GeoMakie allows us to do this by automatically projecting from source to destination CRS.
Here, our source CRS is common geographic (i.e. coordinates of latitude and longitude), WGS84.
julia
source_crs1 = GFT.EPSG(4326)
GeoFormatTypes.EPSG{1}((4326,))
Now let's pick a destination CRS for displaying our map. Here we'll pick natearth2.
julia
destination_crs = "+proj=natearth2"
"+proj=natearth2"
Let's add land area for context. First, download and open the Natural Earth global land polygons at 110 m resolution.GeoMakie ships with this particular dataset, so we will access it from there.
julia
land_path = GeoMakie.assetpath("ne_110m_land.geojson")
"/home/runner/.julia/packages/GeoMakie/f5FPN/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 +75,8 @@
     xticklabelsvisible = false,
     yticklabelsvisible = false,
 );
Plot land for context.
julia
poly!(ga, land_geo, color=:black)
-fig
Now let's plot a Polygon like before, but this time with a CRS that differs from our source data
julia
plot!(multipolygon; color = :green)
-fig
But what if we want to plot geometries with a different source CRS on the same figure?
To show how to do this let's create a geometry with coordinates in UTM (Universal Transverse Mercator) zone 10N EPSG:32610.
julia
source_crs2 = GFT.EPSG(32610)
GeoFormatTypes.EPSG{1}((32610,))
Create a polygon (we're working in meters now, not latitude and longitude)
julia
r = 1000000;
+fig
Now let's plot a Polygon like before, but this time with a CRS that differs from our source data
julia
plot!(multipolygon; color = :green)
+fig
But what if we want to plot geometries with a different source CRS on the same figure?
To show how to do this let's create a geometry with coordinates in UTM (Universal Transverse Mercator) zone 10N EPSG:32610.
julia
source_crs2 = GFT.EPSG(32610)
GeoFormatTypes.EPSG{1}((32610,))
Create a polygon (we're working in meters now, not latitude and longitude)
julia
r = 1000000;
 ϴ = 0:0.01:2pi;
 x = r .* cos.(ϴ).^3 .+ 500000;
 y = r .* sin.(ϴ) .^ 3 .+5000000;
629-element Vector{Float64}:
@@ -87,7 +86,7 @@
  ⋮
  5.0e6
  5.0e6
Now create a LinearRing from Points
julia
ring3 = GI.LinearRing(Point.(zip(x, y)))
GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[1.5e6, 5.0e6], [1.4998500087497458e6, 5.000000999950001e6], [1.4994001399837343e6, 5.000007998400139e6], [1.4986507085647392e6, 5.000026987852369e6], [1.4976022389592e6, 5.000063948817746e6], [1.4962554647802354e6, 5.000124843834609e6], [1.4946113281484335e6, 5.000215611503127e6], [1.4926709788709967e6, 5.000342160541625e6], [1.4904357734399722e6, 5.000510363870095e6], [1.4879072738504685e6, 5.0007260527263e6]  …  [1.4870405593989636e6, 4.999194331880103e6], [1.4896621210021754e6, 4.999426363321033e6], [1.491990928929295e6, 4.999609061508909e6], [1.4940253560034204e6, 4.999748243174828e6], [1.4957639801366436e6, 4.999849768598615e6], [1.497205585568957e6, 4.999919535736425e6], [1.4983491639274692e6, 4.999963474314044e6], [1.4991939151049731e6, 4.999987539891298e6], [1.4997392479570867e6, 4.999997707902938e6], [1.499984780817334e6, 4.999999967681458e6]], nothing, nothing)
Now create a Polygon from the LineRing
julia
polygon3 = GI.Polygon([ring3])
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[1.5e6, 5.0e6], [1.4998500087497458e6, 5.000000999950001e6], [1.4994001399837343e6, 5.000007998400139e6], [1.4986507085647392e6, 5.000026987852369e6], [1.4976022389592e6, 5.000063948817746e6], [1.4962554647802354e6, 5.000124843834609e6], [1.4946113281484335e6, 5.000215611503127e6], [1.4926709788709967e6, 5.000342160541625e6], [1.4904357734399722e6, 5.000510363870095e6], [1.4879072738504685e6, 5.0007260527263e6]  …  [1.4870405593989636e6, 4.999194331880103e6], [1.4896621210021754e6, 4.999426363321033e6], [1.491990928929295e6, 4.999609061508909e6], [1.4940253560034204e6, 4.999748243174828e6], [1.4957639801366436e6, 4.999849768598615e6], [1.497205585568957e6, 4.999919535736425e6], [1.4983491639274692e6, 4.999963474314044e6], [1.4991939151049731e6, 4.999987539891298e6], [1.4997392479570867e6, 4.999997707902938e6], [1.499984780817334e6, 4.999999967681458e6]], nothing, nothing)], nothing, nothing)
Now plot on the existing GeoAxis.
Note
The keyword argument source is used to specify the source CRS of that particular plot, when plotting on an existing GeoAxis.
julia
plot!(ga,polygon3; color=:red, source = source_crs2)
-fig
Create geospatial geometries with embedded coordinate reference system information ​
Great, we can make geometries and plot them on a map... now let's export the data to common geospatial data formats. To do this we now need to create geometries with embedded CRS information, making it a geospatial geometry. All that's needed is to include ; crs = crs as a keyword argument when constructing the geometry.
Let's do this for a new Polygon
julia
r = 3;
+fig
Create geospatial geometries with embedded coordinate reference system information ​
Great, we can make geometries and plot them on a map... now let's export the data to common geospatial data formats. To do this we now need to create geometries with embedded CRS information, making it a geospatial geometry. All that's needed is to include ; crs = crs as a keyword argument when constructing the geometry.
Let's do this for a new Polygon
julia
r = 3;
 k = 7;
 ϴ = 0:0.01:2pi;
 x = r .* (k + 1) .* cos.(ϴ) .- r .* cos.((k + 1) .* ϴ);
@@ -107,7 +106,7 @@
 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.

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diff --git a/previews/PR206/tutorials/geodesic_paths.html b/previews/PR206/tutorials/geodesic_paths.html
index e1abd5ac1..722e5854c 100644
--- a/previews/PR206/tutorials/geodesic_paths.html
+++ b/previews/PR206/tutorials/geodesic_paths.html
@@ -8,17 +8,16 @@
     
     
     
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GeometryOps.jl
Appearance
Geodesic paths ​
Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
julia
import GeometryOps as GO, GeoInterface as GI
+    
GeometryOps.jl
Appearance
Geodesic paths ​
Geodesic paths are paths computed on an ellipsoid, as opposed to a plane.
julia
import GeometryOps as GO, GeoInterface as GI
 using CairoMakie, GeoMakie
 
 
@@ -28,8 +27,8 @@
 
 fig, ga, _cp = lines(GeoMakie.coastlines(); axis = (; type = GeoAxis))
 lines!(ga, GO.segmentize(GO.GeodesicSegments(; max_distance = 100_000), GI.LineString([IAH, AMS])); color = Makie.wong_colors()[2])
-fig

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diff --git a/previews/PR206/tutorials/spatial_joins.html b/previews/PR206/tutorials/spatial_joins.html
index ea0760bee..717008c58 100644
--- a/previews/PR206/tutorials/spatial_joins.html
+++ b/previews/PR206/tutorials/spatial_joins.html
@@ -8,17 +8,16 @@
     
     
     
-    
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GeometryOps.jl
Appearance
Spatial joins ​
Spatial joins are table joins which are based not on equality, but on some predicate p(x,y), which takes two geometries, and returns a value of either true or false. For geometries, the DE-9IM spatial relationship model is used to determine the spatial relationship between two geometries.
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),
+    
GeometryOps.jl
Appearance
Spatial joins ​
Spatial joins are table joins which are based not on equality, but on some predicate p(x,y), which takes two geometries, and returns a value of either true or false. For geometries, the DE-9IM spatial relationship model is used to determine the spatial relationship between two geometries.
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
@@ -28,14 +27,14 @@
 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 +59,7 @@
     ::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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