From 76160e139a3dac9516e289e056b1470ad4ddf3e3 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Thu, 17 Oct 2024 12:43:15 +0000 Subject: [PATCH] build based on 83f9abd --- dev/.documenter-siteinfo.json | 2 +- dev/api/index.html | 52 ++++++++-------- dev/assets/documenter.js | 68 +++++++++++++-------- dev/assets/themes/catppuccin-frappe.css | 1 + dev/assets/themes/catppuccin-latte.css | 1 + dev/assets/themes/catppuccin-macchiato.css | 1 + dev/assets/themes/catppuccin-mocha.css | 1 + dev/assets/themes/documenter-dark.css | 4 +- dev/assets/themes/documenter-light.css | 2 +- dev/decomposition/index.html | 25 +------- dev/implementation/index.html | 2 - dev/index.html | 29 +++------ dev/meshes/568f64e4.png | Bin 0 -> 48279 bytes dev/meshes/index.html | 15 ++++- dev/metadata/index.html | 30 --------- dev/objects.inv | Bin 2418 -> 2757 bytes dev/polygons/index.html | 2 +- dev/primitives/index.html | 55 ++++++++++++++++- dev/rectangles/index.html | 2 - dev/search_index.js | 2 +- dev/static_array_types/index.html | 4 ++ 21 files changed, 158 insertions(+), 140 deletions(-) create mode 100644 dev/assets/themes/catppuccin-frappe.css create mode 100644 dev/assets/themes/catppuccin-latte.css create mode 100644 dev/assets/themes/catppuccin-macchiato.css create mode 100644 dev/assets/themes/catppuccin-mocha.css delete mode 100644 dev/implementation/index.html create mode 100644 dev/meshes/568f64e4.png delete mode 100644 dev/metadata/index.html delete mode 100644 dev/rectangles/index.html create mode 100644 dev/static_array_types/index.html diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 79f44075..bb08b104 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.7.3","generation_timestamp":"2024-04-26T10:50:27","documenter_version":"1.4.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.1","generation_timestamp":"2024-10-17T12:43:10","documenter_version":"1.7.0"}} \ No newline at end of file diff --git a/dev/api/index.html b/dev/api/index.html index bee313ed..427deae2 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,26 +1,27 @@ -API Reference · GeometryBasics.jl

API Reference

Exports

GeometryBasics.AbstractMeshType
AbstractMesh

An abstract mesh is a collection of Polytope elements (Simplices / Ngons). The connections are defined via faces(mesh), the coordinates of the elements are returned by coordinates(mesh). Arbitrary meta information can be attached per point or per face

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GeometryBasics.CylinderType
Cylinder{N, T}

A Cylinder is a 2D rectangle or a 3D cylinder defined by its origin point, its extremity and a radius. origin, extremity and r, must be specified.

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GeometryBasics.Cylinder2Type
Cylinder2{T}
-Cylinder3{T}

A Cylinder2 or Cylinder3 is a 2D/3D cylinder defined by its origin point, its extremity and a radius. origin, extremity and r, must be specified.

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GeometryBasics.FaceViewType
FaceView{Element, Point, Face, P, F}

FaceView enables to link one array of points via a face array, to generate one abstract array of elements. E.g., this becomes possible:

x = FaceView(rand(Point3f, 10), TriangleFace[(1, 2, 3), (2, 4, 5), ...])
-x[1] isa Triangle == true
-x isa AbstractVector{<: Triangle} == true
-# This means we can use it as a mesh:
-Mesh(x) # should just work!
-# Can also be used for Points:
-
-linestring = FaceView(points, LineFace[...])
-Polygon(linestring)
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GeometryBasics.HyperRectangleType
HyperRectangle{N, T}

A HyperRectangle is a generalization of a rectangle into N-dimensions. Formally it is the cartesian product of intervals, which is represented by the origin and widths fields, whose indices correspond to each of the N axes.

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GeometryBasics.HyperSphereType
HyperSphere{N, T}

A HyperSphere is a generalization of a sphere into N-dimensions. A center and radius, r, must be specified.

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GeometryBasics.LineStringType
LineString(points::AbstractVector{<: AbstractPoint}, skip = 1)

Creates a LineString from a vector of points. With skip == 1, the default, it will connect the line like this:

points = Point[a, b, c, d]
-linestring = LineString(points)
-@assert linestring == LineString([a => b, b => c, c => d])
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GeometryBasics.LineStringType
LineString(points::AbstractVector{<: AbstractPoint}, indices::AbstractVector{<: Integer}, skip = 1)

Creates a LineString from a vector of points and an index list. With skip == 1, the default, it will connect the line like this:

points = Point[a, b, c, d]; faces = [1, 2, 3, 4]
-linestring = LineString(points, faces)
-@assert linestring == LineString([a => b, b => c, c => d])

To make a segmented line, set skip to 2

points = Point[a, b, c, d]; faces = [1, 2, 3, 4]
-linestring = LineString(points, faces, 2)
-@assert linestring == LineString([a => b, c => d])
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GeometryBasics.MetaTType
MetaT(geometry, meta::NamedTuple)
-MetaT(geometry; meta...)

Returns a MetaT that holds a geometry and its metadata

MetaT acts the same as Meta method. The difference lies in the fact that it is designed to handle geometries and metadata of different/heterogeneous types.

eg: While a Point MetaGeometry is a PointMeta, the MetaT representation is MetaT{Point} The downside being it's not subtyped to AbstractPoint like a PointMeta is.

Example:

julia> MetaT(Point(1, 2), city = "Mumbai")
-MetaT{Point{2,Int64},(:city,),Tuple{String}}([1, 2], (city = "Mumbai",))
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GeometryBasics.NormalUVMeshType
NormalUVMesh{Dim, T}

PlainMesh with normals and uv meta at each point. normalmesh.normals isa AbstractVector{Vec3f} normalmesh.uv isa AbstractVector{Vec2f}

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GeometryBasics.NormalUVWMeshType
NormalUVWMesh{Dim, T}

PlainMesh with normals and uvw (texture coordinates in 3D) meta at each point. normalmesh.normals isa AbstractVector{Vec3f} normalmesh.uvw isa AbstractVector{Vec3f}

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GeometryBasics.OffsetIntegerType
OffsetInteger{O, T}

OffsetInteger type mainly for indexing.

  • O - The offset relative to Julia arrays. This helps reduce copying when

communicating with 0-indexed systems such as OpenGL.

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GeometryBasics.PolygonType
Polygon(exterior::AbstractVector{<:Point})
-Polygon(exterior::AbstractVector{<:Point}, interiors::Vector{<:AbstractVector{<:AbstractPoint}})
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GeometryBasics.PolytopeType

Geometry made of N connected points. Connected as one flat geometry, it makes a Ngon / Polygon. Connected as volume it will be a Simplex / Tri / Cube. Note That Polytope{N} where N == 3 denotes a Triangle both as a Simplex or Ngon.

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GeometryBasics.RectType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.RectMethod
Rect(vals::Number...)
Rect(vals::Number...)

Rect constructor for individually specified intervals. e.g. Rect(0,0,1,2) has origin == Vec(0,0) and width == Vec(1,2)

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GeometryBasics.Rect2Type
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect2dType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect2fType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect2iType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect3Type
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect3dType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect3fType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect3iType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.RectdType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.RectfType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.RectiType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.SimplexType

A Simplex is a generalization of an N-dimensional tetrahedra and can be thought of as a minimal convex set containing the specified points.

  • A 0-simplex is a point.
  • A 1-simplex is a line segment.
  • A 2-simplex is a triangle.
  • A 3-simplex is a tetrahedron.

Note that this datatype is offset by one compared to the traditional mathematical terminology. So a one-simplex is represented as Simplex{2,T}. This is for a simpler implementation.

It applies to infinite dimensions. The structure of this type is designed to allow embedding in higher-order spaces by parameterizing on T.

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GeometryBasics.TesselationType
Tesselation(primitive, nvertices)

For abstract geometries, when we generate a mesh from them, we need to decide how fine grained we want to mesh them. To transport this information to the various decompose methods, you can wrap it in the Tesselation object e.g. like this:

sphere = Sphere(Point3f(0), 1)
+API Reference · GeometryBasics.jl

API Reference

Exports

GeometryBasics.AbstractFaceType
AbstractFace{N_indices, T} <: StaticVector{N_indices, T}

Parent type for all face types. The standard face type is typically a GLTriangleFace = NgonFace{3, GLIndex}.

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GeometryBasics.AbstractMeshType
AbstractMesh

An abstract mesh is a collection of Polytope elements (Simplices / Ngons). The connections are defined via faces(mesh) and the coordinates of the elements are returned by coordinates(mesh).

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GeometryBasics.CylinderType
Cylinder{T}(origin::Point3, extremity::Point3, radius)

A Cylinder is a 3D primitive defined by an origin, an extremity (end point) and a radius.

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GeometryBasics.FaceViewType
FaceView(data, faces)

A FaceView is an alternative to passing a vertex attribute directly to a mesh. It bundles data with a new set of faces which may index that data differently from the faces defined in a mesh. This can be useful to avoid duplication in data.

For example, data can be defined per face by giving each face just one (repeated) index:

per_face_normals = FaceView(
+    normals,                 # one per face
+    FT.(eachindex(normals))  # with FT = facetype(mesh)
+)

If you need a mesh with strictly per-vertex data, e.g. for rendering, you can use expand_faceviews(mesh) to convert every vertex attribute to be per-vertex. This will duplicate data and reorder faces as needed.

You can get the data of a FaceView with values(faceview) and the faces with faces(faceview).

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GeometryBasics.HyperRectangleType
HyperRectangle{N, T}

A HyperRectangle is a generalization of a rectangle into N-dimensions. Formally it is the cartesian product of intervals, which is represented by the origin and widths fields, whose indices correspond to each of the N axes.

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GeometryBasics.HyperSphereType
HyperSphere{N, T}

A HyperSphere is a generalization of a sphere into N-dimensions. A center and radius, r, must be specified.

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GeometryBasics.MatType
Mat{R, C, T[, L]}(args::Union{UniformScaling, Tuple, AbstractMatrix})
+Mat{R, C}(args::Union{Tuple, AbstractMatrix})
+Mat{C}(args::Tuple)

Constructs a static Matrix from the given inputs. Can also take multiple numeric args. If only one size is given the matrix is assumed to be square.

Aliases

TFloat64Float32IntUInt
NMat{N,T}Matd{N}Matf{N}Mati{N}Matui{N}
2Mat2{T}Mat2dMat2fMat2iMat2ui
3Mat3{T}Mat3dMat3fMat3iMat3ui
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GeometryBasics.MeshType
Mesh{PositionDim, PositionType, FaceType, VertexAttributeNames, VertexAttributeTypes, FaceVectorType} <: AbstractMesh{PositionDim, PositionType} <: AbstractGeometry{PositionDim, PositionType}

The type of a concrete mesh. The associated struct contains 3 fields:

struct Mesh{...}
+    vertex_attributes::NamedTuple{VertexAttributeNames, VertexAttributeTypes}
+    faces::FaceVectorType
+    views::Vector{UnitRange{Int}}
+end

A vertex typically carries multiple distinct pieces of data, e.g. a position, a normal, a texture coordinate, etc. We call those pieces of data vertex attributes. The vertex_attributes field contains the name and a collection <: AbstractVector or <: FaceView for each attribute. The n-th element of that collection is the value of the corresponding attribute for the n-th vertex.

#                   vertex       1        2        3
+vertex_attributes[:position] = [pos1,    pos2,    pos3,    ...]
+vertex_attributes[:normal]   = [normal1, normal2, normal3, ...]
+...

A NamedTuple is used here to allow different meshes to carry different vertex attributes while also keeping things type stable. The constructor enforces a few restrictions:

  • The first attribute must be named position and must have a Point{PositionDim, PositionType} eltype.
  • Each vertex attribute must refer to the same number of vertices. (All vertex attributes defined by

AbstractVector must match in length. For FaceViews, the number of faces needs to match.)

See also: vertex_attributes, coordinates, normals, texturecoordinates, decompose, FaceView, expand_faceviews

The faces field is a collection <: AbstractVector{FaceType} containing faces that describe how vertices are connected. Typically these are (GL)TriangleFaces or QuadFaces, but they can be any collection of vertex indices <: AbstractFace.

See also: faces, decompose

The views field can be used to separate the mesh into mutliple submeshes. Each submesh is described by a "view" into the faces vector, i.e. submesh n uses mesh.faces[mesh.views[n]]. A Mesh can be constructed without views, which results in an empty views vector.

See also: merge, split_mesh

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GeometryBasics.MeshMethod
Mesh(faces[; views, attributes...])
+Mesh(positions, faces[; views])
+Mesh(positions, faces::AbstractVector{<: Integer}[; facetype = TriangleFace, skip = 1])
+Mesh(; attributes...)

Constructs a mesh from the given arguments.

If positions are given explicitly, they are merged with other vertex attributes under the name position. Otherwise they must be part of attributes. If faces are not given attributes.position must be a FaceView.

Any other vertex attribute can be either an AbstractVector or a FaceView thereof. Every vertex attribute that is an AbstractVector must be sufficiently large to be indexable by mesh.faces. Every vertex attribute that is a FaceView must contain similar faces to mesh.faces, i.e. contain the same number of faces and have faces of matching length.

views can be defined optionally to implicitly split the mesh into multi sub-meshes. This is done by providing ranges for indexing faces which correspond to the sub-meshes. By default this is left empty.

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GeometryBasics.MetaMeshMethod
MetaMesh(mesh; metadata...)
+MetaMesh(positions, faces; metadata...)

Constructs a MetaMesh either from another mesh or by constructing another mesh with the given positions and faces. Any keyword arguments given will be stored in the meta field in MetaMesh.

This struct is meant to be used for storage of non-vertex data. Any vertex related data should be stored as a vertex attribute in Mesh. One example of such data is material data, which is defined per view in mesh.views, i.e. per submesh.

The metadata added to the MetaMesh can be manipulated with Dict-like operations (getindex, setindex!, get, delete, keys, etc). Vertex attributes can be accessed via fields and the same getters as mesh. The mesh itself can be retrieved with Mesh(metamesh).

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GeometryBasics.NgonFaceType
NgonFace{N, T}

A planar face connecting N vertices. Shorthands include:

  • LineFace{T} = NgonFace{2,T}
  • TriangleFace{T} = NgonFace{3,T}
  • QuadFace{T} = NgonFace{4,T}
  • GLTriangleFace = TriangleFace{GLIndex}
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GeometryBasics.OffsetIntegerType
OffsetInteger{O, T}

OffsetInteger type mainly for indexing.

  • O - The offset relative to Julia arrays. This helps reduce copying when

communicating with 0-indexed systems such as OpenGL.

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GeometryBasics.PointType
Point{N, T}(args...)
+Point{N, T}(args::Union{AbstractVector, Tuple, NTuple, StaticVector})

Constructs a Point of length N from the given arguments.

Note that Point and Vec don't follow strict mathematical definitions. Instead we allow them to be used interchangeably.

Aliases

TFloat64Float32IntUInt
NPoint{N,T}Pointd{N}Pointf{N}Pointi{N}Pointui{N}
2Point2{T}Point2dPoint2fPoint2iPoint2ui
3Point3{T}Point3dPoint3fPoint3iPoint3ui
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GeometryBasics.PolygonType
Polygon(exterior::AbstractVector{<:Point})
+Polygon(exterior::AbstractVector{<:Point}, interiors::Vector{<:AbstractVector{<:Point}})

Constructs a polygon from a set of exterior points. If interiors are given, each of them cuts away from the Polygon.

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GeometryBasics.PolytopeType
Polytope{Dim, T} <: AbstractGeometry{Dim, T}

A Polytope is the generalization of a Polygon to higher dimensions, i.e. a geometric object consisting of flat faces.

A Polygon and Ngon are both 2D Polytopes. A Simplex is the simplest Polytope in arbitrary dimensions.

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GeometryBasics.PolytopeMethod
Polytope(::Type{<: Point}, ::Type{<: AbstractNgonFace})

The Ngon Polytope element type when indexing an array of points with a SimplexFace

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GeometryBasics.PolytopeMethod
Polytope(::Type{Point{Dim,T}}, ::Type{<:AbstractSimplexFace{N}})

The Simplex Polytope element type when indexing an array of points with a SimplexFace

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GeometryBasics.PolytopeMethod
Polytope(::Type{<:NSimplex{N}}, P::Type{Point{NDim,T}})

The fully concrete Simplex type, when constructed from a point type!

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GeometryBasics.PolytopeMethod
Polytope(::Type{<: Ngon}, P::Type{<: Point})

The fully concrete Ngon type, when constructed from a point type!

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GeometryBasics.PyramidType
Pyramid(middle::Point3, length::Real, width::Real)

A Pyramid is an axis-aligned primitive where the tip of the Pyramid extends by length from middle in z direction and the square base extends by width in ±x and ±y direction from middle.

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GeometryBasics.RectType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.RectMethod
Rect(vals::Number...)
Rect(vals::Number...)

Rect constructor for individually specified intervals. e.g. Rect(0,0,1,2) has origin == Vec(0,0) and width == Vec(1,2)

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GeometryBasics.RectMethod
Rect(points::AbstractArray{<: Point})

Construct a bounding box countaining all the given points.

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GeometryBasics.Rect2Type
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect2dType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect2fType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect2iType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect3Type
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect3dType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect3fType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.Rect3iType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.RectdType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.RectfType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.RectiType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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GeometryBasics.SimplexType
Simplex{D, T<:Real, N}(points::NTuple{N, Point{D, T}})

A Simplex is a generalization of an N-dimensional tetrahedra and can be thought of as a minimal convex set containing the specified points.

  • A 0-simplex is a point.
  • A 1-simplex is a line segment.
  • A 2-simplex is a triangle.
  • A 3-simplex is a tetrahedron.

Note that this datatype is offset by one compared to the traditional mathematical terminology. So a one-simplex is represented as Simplex{2,T}. This is for a simpler implementation.

It applies to infinite dimensions. The structure of this type is designed to allow embedding in higher-order spaces by parameterizing on T.

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GeometryBasics.TesselationType
Tesselation(primitive, nvertices)

When generating a mesh from an abstract geometry, we can typically generate it at different levels of detail, i.e. with different amounts of vertices. The Tesselation wrapper allows you to specify this level of detail. When generating a mesh from a tesselated geometry, the added information will be passed to coordinates, faces, etc.

sphere = Sphere(Point3f(0), 1)
 m1 = mesh(sphere) # uses a default value for tesselation
 m2 = mesh(Tesselation(sphere, 64)) # uses 64 for tesselation
-length(coordinates(m1)) != length(coordinates(m2))

For grid based tesselation, you can also use a tuple: ```julia rect = Rect2(0, 0, 1, 1) Tesselation(rect, (5, 5))

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GeometryBasics.TupleViewType
TupleView{T, N, Skip, A}

TupleView, groups elements of an array as tuples. N is the dimension of the tuple, M tells how many elements to skip to the next tuple. By default TupleView{N} defaults to skip N items.

a few examples:


+length(coordinates(m1)) != length(coordinates(m2))

For grid based tesselation, you can also use a tuple:

rect = Rect2(0, 0, 1, 1)
+Tesselation(rect, (5, 5))
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GeometryBasics.TupleViewType
TupleView{T, N, Skip, A}

TupleView, groups elements of an array as tuples. N is the dimension of the tuple, M tells how many elements to skip to the next tuple. By default TupleView{N} defaults to skip N items.

a few examples:


 x = [1, 2, 3, 4, 5, 6]
 TupleView{2, 1}(x):
 > [(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)]
@@ -34,11 +35,6 @@
 TupleView{3, 1}(x):
 > [(1, 2, 3), (2, 3, 4), (3, 4, 5), (4, 5, 6)]

TupleView can be used together with reinterpret:

x = [1, 2, 3, 4]
 y = reinterpret(Point{2, Int}, TupleView{2, 1}(x))
-> [Point(1, 2), Point(2, 3), Point(3, 4)]
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GeometryBasics.UVMeshType
UVMesh{Dim, T}

PlainMesh with texture coordinates meta at each point. uvmesh.uv isa AbstractVector{Vec2f}

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GeometryBasics.areaMethod
area(contour::AbstractVector{AbstractPoint}})

Calculate the area of a polygon.

For 2D points, the oriented area is returned (negative when the points are oriented clockwise).

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GeometryBasics.areaMethod
area(vertices::AbstractVector{AbstractPoint{3}}, faces::AbstractVector{TriangleFace})

Calculate the area of all triangles.

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GeometryBasics.areaMethod
area(vertices::AbstractVector{AbstractPoint{3}}, face::TriangleFace)

Calculate the area of one triangle.

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GeometryBasics.connectMethod
connect(points::AbstractVector{<: AbstractPoint}, P::Type{<: Polytope{N}}, skip::Int = N)

Creates a view that connects a number of points to a Polytope P. Between each polytope, skip elements are skipped untill the next starts. Example: ```julia x = connect(Point[(1, 2), (3, 4), (5, 6), (7, 8)], Line, 2) x == [Line(Point(1, 2), Point(3, 4)), Line(Point(5, 6), Point(7, 8))]

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GeometryBasics.coordinatesMethod
coordinates(geometry)

Returns the edges/vertices/coordinates of a geometry. Is allowed to return lazy iterators! Use decompose(ConcretePointType, geometry) to get Vector{ConcretePointType} with ConcretePointType to be something like Point{3, Float32}.

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GeometryBasics.decomposeMethod
decompose(facetype, contour::AbstractArray{<:AbstractPoint})

Triangulate a Polygon without hole.

Returns a Vector{facetype} defining indexes into contour.

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GeometryBasics.facesMethod
faces(geometry)

Returns the face connections of a geometry. Is allowed to return lazy iterators! Use decompose(ConcreteFaceType, geometry) to get Vector{ConcreteFaceType} with ConcreteFaceType to be something like TriangleFace{Int}.

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GeometryBasics.metafreeMethod
metafree(x::MetaT)
-metafree(x::Array{MetaT})

Free the MetaT from metadata i.e. returns the geometry/array of geometries

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GeometryBasics.normalsMethod
normals{VT,FD,FT,FO}(vertices::Vector{Point{3, VT}},
-                    faces::Vector{Face{FD,FT,FO}},
-                    NT = Normal{3, VT})

Compute all vertex normals.

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GeometryBasics.split_intersectionsMethod
split_intersections(points::AbstractVector{AbstractPoint})

Splits polygon points into it's self intersecting parts. Only 1 intersection is handled right now.

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GeometryBasics.volumeMethod
volume(mesh)

Calculate the signed volume of all tetrahedra. Be sure the orientation of your surface is right.

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GeometryBasics.volumeMethod
volume(triangle)

Calculate the signed volume of one tetrahedron. Be sure the orientation of your surface is right.

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Private

GeometryBasics.NgonType

Fixed Size Polygon, e.g.

  • N 1-2 : Illegal!
  • N = 3 : Triangle
  • N = 4 : Quadrilateral (or Quad, Or tetragon)
  • N = 5 : Pentagon
  • ...
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GeometryBasics.RectTType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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Base.:*Method
*(m::Mat, h::Rect)

Transform a Rect using a matrix. Maintains axis-align properties so a significantly larger Rect may be generated.

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Base.inMethod
in(b1::Rect, b2::Rect)

Check if Rect b1 is contained in b2. This does not use strict inequality, so Rects may share faces and this will still return true.

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Base.inMethod
in(pt::VecTypes, b1::Rect{N, T})

Check if a point is contained in a Rect. This will return true if the point is on a face of the Rect.

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Base.inMethod
in(point, triangle)

Determine if a point is inside of a triangle.

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Base.isemptyMethod
isempty(h::Rect)

Return true if any of the widths of h are negative.

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GeometryBasics.MetaFreeMethod
MetaFree(::Type{T})

Returns the original type containing no metadata for T E.g:

MetaFree(PointMeta) == Point
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GeometryBasics.attributesMethod
attributes(hasmeta)

Returns all attributes of meta as a Dict{Symbol, Any}. Needs to be overloaded, and returns empty dict for non overloaded types! Gets overloaded by default for all Meta types.

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GeometryBasics.getcolumnsMethod
getcolumns(t, colnames::Symbol...)

Gets a column from any Array like (Table/AbstractArray). For AbstractVectors, a column will be the field names of the element type.

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GeometryBasics.meshMethod
mesh(primitive::GeometryPrimitive;
-     pointtype=Point, facetype=GLTriangle,
-     uv=nothing, normaltype=nothing)

Creates a mesh from primitive.

Uses the element types from the keyword arguments to create the attributes. The attributes that have their type set to nothing are not added to the mesh. Note, that this can be an Int or Tuple{Int, Int}`, when the primitive is grid based. It also only losely correlates to the number of vertices, depending on the algorithm used. #TODO: find a better number here!

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GeometryBasics.meshMethod
mesh(polygon::AbstractVector{P}; pointtype=P, facetype=GLTriangleFace,
-     normaltype=nothing)

Create a mesh from a polygon given as a vector of points, using triangulation.

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+> [Point(1, 2), Point(2, 3), Point(3, 4)]
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GeometryBasics.VecType
Vec{N, T}(args...)
+Vec{N, T}(args::Union{AbstractVector, Tuple, NTuple, StaticVector})

Constructs a Vec of length N from the given arguments.

Note that Point and Vec don't follow strict mathematical definitions. Instead we allow them to be used interchangeably.

Aliases

TFloat64Float32IntUInt
NVec{N,T}Vecd{N}Vecf{N}Veci{N}Vecui{N}
2Vec2{T}Vec2dVec2fVec2iVec2ui
3Vec3{T}Vec3dVec3fVec3iVec3ui
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GeometryBasics.areaMethod
area(contour::AbstractVector{Point}})

Calculate the area of a polygon.

For 2D points, the oriented area is returned (negative when the points are oriented clockwise).

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GeometryBasics.areaMethod
area(vertices::AbstractVector{Point{3}}, faces::AbstractVector{TriangleFace})

Calculate the area of all triangles.

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GeometryBasics.areaMethod
area(vertices::AbstractVector{Point{3}}, face::TriangleFace)

Calculate the area of one triangle.

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GeometryBasics.connectMethod
connect(points::AbstractVector{<: Point}, P::Type{<: Polytope{N}}, skip::Int = N)

Creates a view that connects a number of points to a Polytope P. Between each polytope, skip elements are skipped untill the next starts. Example: ```julia x = connect(Point[(1, 2), (3, 4), (5, 6), (7, 8)], Line, 2) x == [Line(Point(1, 2), Point(3, 4)), Line(Point(5, 6), Point(7, 8))]

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GeometryBasics.coordinatesMethod
coordinates(geometry)

Returns the positions/coordinates of a geometry.

This is allowed to return lazy iterators. Use decompose(ConcretePointType, geometry) to get a Vector{ConcretePointType} with ConcretePointType being something like Point3f.

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GeometryBasics.decomposeMethod
decompose(::Type{TargetType}, primitive)
+decompose(::Type{TargetType}, data::AbstractVector)

Dependent on the given type, extracts data from the primtive and converts its eltype to TargetType.

Possible TargetTypes:

  • <: Point extracts and converts positions (calling coordinates())
  • <: AbstractFace extracts and converts faces (calling faces())
  • <: Normal{<: Vec} extracts and converts normals, potentially generating them (calling normals())
  • <: UV{<: Vec} extracts and converts 2D texture coordinates, potentially generating them (calling texturecoordinates())
  • <: UVW{<: Vec} extracts and converts 3D texture coordinates, potentially generating them (calling texturecoordinates())
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GeometryBasics.decomposeMethod
decompose(facetype, contour::AbstractArray{<:Point})

Triangulate a Polygon without hole.

Returns a Vector{facetype} defining indexes into contour.

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GeometryBasics.expand_faceviewsMethod
expand_faceviews(mesh::Mesh)

Returns the given mesh if it contains no FaceViews. Otherwise, generates a new mesh that contains no FaceViews, reordering and duplicating vertex atttributes as necessary. If the mesh has views they will be adjusted as needed to produce the same submeshes.

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GeometryBasics.face_normalsMethod
face_normals(positions::Vector{Point3{T}}, faces::Vector{<: NgonFace}[, target_type = Vec3{T}])

Compute face normals from the given positions and faces and returns an appropriate FaceView.

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GeometryBasics.facesMethod
faces(geometry)

Returns the faces of a geometry.

This is allowed to return lazy iterators. Use decompose(ConcreteFaceType, geometry) to get a Vector{ConcreteFaceType} with ConcreteFaceType being something like GLTriangleFace.

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GeometryBasics.normal_meshMethod
uv_normal_mesh(primitive::GeometryPrimitive{N}[; pointtype = Point{N, Float32}, facetype = GLTriangleFace, uvtype = Vec2f, normaltype = Vec3f])

Creates a triangle mesh with texture coordinates and normals from a given primitive. The pointtype, facetype and uvtype and normaltype are set by the correspondering keyword arguments.

See also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh

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GeometryBasics.normal_meshMethod
normal_mesh(primitive::GeometryPrimitive{N}[; pointtype = Point{N, Float32}, facetype = GLTriangleFace, normaltype = Vec3f])

Creates a triangle mesh with normals from a given primitive. The pointtype, facetype and uvtype and normaltype are set by the correspondering keyword arguments.

See also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh

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GeometryBasics.normalsFunction
normals(primitive)

Returns the normals of a geometry.

This is allowed to return lazy iterators. Use decompose_normals(ConcreteVecType, geometry) to get a Vector{ConcreteVecType} with ConcreteVecType being something like Vec3f.

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GeometryBasics.normalsMethod
normals(positions::Vector{Point3{T}}, faces::Vector{<: NgonFace}[; normaltype = Vec3{T}])

Compute vertex normals from the given positions and faces.

This runs through all faces, computing a face normal each and adding it to every involved vertex. The direction of the face normal is based on winding direction and assumed counter-clockwise faces. At the end the summed face normals are normalized again to produce a vertex normal.

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GeometryBasics.split_intersectionsMethod
split_intersections(points::AbstractVector{<: Point})

Splits polygon points into it's self intersecting parts. Only 1 intersection is handled right now.

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GeometryBasics.texturecoordinatesFunction
texturecoordinates(primitive)

Returns the texturecoordinates of a geometry.

This is allowed to return lazy iterators. Use decompose_uv(ConcreteVecType, geometry) (or decompose_uvw) to get a Vector{ConcreteVecType} with ConcreteVecType being something like Vec2f.

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GeometryBasics.uv_meshMethod
uv_mesh(primitive::GeometryPrimitive{N}[; pointtype = Point{N, Float32}, facetype = GLTriangleFace, uvtype = Vec2f])

Creates a triangle mesh with texture coordinates from a given primitive. The pointtype, facetype and uvtype are set by the correspondering keyword arguments.

See also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh

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GeometryBasics.uv_normal_meshMethod
uv_normal_mesh(primitive::GeometryPrimitive{N}[; pointtype = Point{N, Float32}, facetype = GLTriangleFace, uvtype = Vec2f, normaltype = Vec3f])

Creates a triangle mesh with texture coordinates and normals from a given primitive. The pointtype, facetype and uvtype and normaltype are set by the correspondering keyword arguments.

See also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh

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GeometryBasics.volumeMethod
volume(mesh)

Calculate the signed volume of all tetrahedra. Be sure the orientation of your surface is right.

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GeometryBasics.volumeMethod
volume(triangle)

Calculate the signed volume of one tetrahedron. Be sure the orientation of your surface is right.

source

Private

GeometryBasics.NgonType
Ngon{D, T, N}(points::NTuple{N, Point{D, T}})

Defines a flat polygon (without holes) in D dimensional space using N points, e.g.:

  • N 1-2 : Illegal!
  • N = 3 : Triangle
  • N = 4 : Quadrilateral (or Quad, Or tetragon)
  • N = 5 : Pentagon
  • ...

For polygons with holes, see Polygon.

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GeometryBasics.RectTType
const Rect{N,T} = HyperRectangle{N,T}

A rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are

T(eltype)Float64Float32Int
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}
2Rect2{T}Rect2dRect2fRect2i
3Rect3{T}Rect3dRect3fRect3i

There is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.

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Base.:*Method
*(m::Mat, h::Rect)

Transform a Rect using a matrix. Maintains axis-align properties so a significantly larger Rect may be generated.

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Base.inMethod
in(b1::Rect, b2::Rect)

Check if Rect b1 is contained in b2. This does not use strict inequality, so Rects may share faces and this will still return true.

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Base.inMethod
in(pt::VecTypes, b1::Rect{N, T})

Check if a point is contained in a Rect. This will return true if the point is on a face of the Rect.

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Base.inMethod
in(point, triangle)

Determine if a point is inside of a triangle.

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Base.intersectMethod
intersect(h1::Rect, h2::Rect)

Perform a intersection between two Rects.

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Base.isemptyMethod
isempty(h::Rect)

Return true if any of the widths of h are negative.

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Base.mergeMethod
merge(meshes::AbstractVector{Mesh})

Generates a new mesh containing all the data of the individual meshes.

If all meshes are consistent in their use of FaceViews they will be preserved. Otherwise all of them will be converted with expand_faceviews(mesh).

This function will generate views in the new mesh which correspond to the inputs of this function.

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Base.unionMethod
union(r1::Rect{N}, r2::Rect{N})

Returns a new Rect{N} which contains both r1 and r2.

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GeometryBasics.meshMethod
mesh(primitive::GeometryPrimitive[; pointtype = Point, facetype = GLTriangleFace, vertex_attributes...])

Creates a mesh from a given primitive with the given pointtype and facetype.

This method only generates positions and faces from the primitive. Additional vertex attributes like normals and texture coordinates can be given as extra keyword arguments.

Note that vertex attributes that are nothing get removed before creating a mesh.

See also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh

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GeometryBasics.meshMethod
mesh(polygon::AbstractVector{P}; pointtype=P, facetype=GLTriangleFace)

Create a mesh from a polygon given as a vector of points, using triangulation.

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GeometryBasics.meshMethod
mesh(positions, faces[, facetype = GLTriangleFace, vertex_attributes...])

Creates a mesh from the given positions and faces. Other vertex attributes like normals and texture coordinates can be added as keyword arguments.

Note that vertex attributes that are nothing get removed before creating a mesh.

See also:normal_mesh

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GeometryBasics.meshMethod
mesh(mesh::Mesh[; pointtype = Point, facetype = GLTriangleFace, vertex_attributes...]

Recreates the given mesh with the given pointtype, facetype and vertex attributes. If the new mesh would match the old mesh, the old mesh is returned instead.

Note that vertex attributes that are nothing get removed before creating a mesh.

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GeometryBasics.split_meshFunction
split_mesh(mesh::Mesh, views::Vector{UnitRange{Int}} = mesh.views)

Creates a new mesh containing faces(mesh)[range] for each range in views. This also removes unused vertices.

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diff --git a/dev/assets/documenter.js b/dev/assets/documenter.js index c6562b55..82252a11 100644 --- a/dev/assets/documenter.js +++ b/dev/assets/documenter.js @@ -77,30 +77,35 @@ require(['jquery'], function($) { let timer = 0; var isExpanded = true; -$(document).on("click", ".docstring header", function () { - let articleToggleTitle = "Expand docstring"; - - debounce(() => { - if ($(this).siblings("section").is(":visible")) { - $(this) - .find(".docstring-article-toggle-button") - .removeClass("fa-chevron-down") - .addClass("fa-chevron-right"); - } else { - $(this) - .find(".docstring-article-toggle-button") - .removeClass("fa-chevron-right") - .addClass("fa-chevron-down"); +$(document).on( + "click", + ".docstring .docstring-article-toggle-button", + function () { + let articleToggleTitle = "Expand docstring"; + const parent = $(this).parent(); + + debounce(() => { + if (parent.siblings("section").is(":visible")) { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); - articleToggleTitle = "Collapse docstring"; - } + articleToggleTitle = "Collapse docstring"; + } - $(this) - .find(".docstring-article-toggle-button") - .prop("title", articleToggleTitle); - $(this).siblings("section").slideToggle(); - }); -}); + parent + .children(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + parent.siblings("section").slideToggle(); + }); + } +); $(document).on("click", ".docs-article-toggle-button", function (event) { let articleToggleTitle = "Expand docstring"; @@ -110,7 +115,7 @@ $(document).on("click", ".docs-article-toggle-button", function (event) { debounce(() => { if (isExpanded) { $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); - $(".docstring-article-toggle-button") + $("a.docstring-article-toggle-button") .removeClass("fa-chevron-down") .addClass("fa-chevron-right"); @@ -119,7 +124,7 @@ $(document).on("click", ".docs-article-toggle-button", function (event) { $(".docstring section").slideUp(animationSpeed); } else { $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); - $(".docstring-article-toggle-button") + $("a.docstring-article-toggle-button") .removeClass("fa-chevron-right") .addClass("fa-chevron-down"); @@ -484,6 +489,14 @@ function worker_function(documenterSearchIndex, documenterBaseURL, filters) { : string || ""; } + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + /** * Make the result component given a minisearch result data object and the value * of the search input as queryString. To view the result object structure, refer: @@ -502,8 +515,8 @@ function worker_function(documenterSearchIndex, documenterBaseURL, filters) { if (result.page !== "") { display_link += ` (${result.page})`; } - - let textindex = new RegExp(`${querystring}`, "i").exec(result.text); + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); let text = textindex !== null ? result.text.slice( @@ -520,7 +533,7 @@ function worker_function(documenterSearchIndex, documenterBaseURL, filters) { let display_result = text.length ? "..." + text.replace( - new RegExp(`${escape(querystring)}`, "i"), // For first occurrence + new RegExp(`${escape(searchstring)}`, "i"), // For first occurrence '$&' ) + "..." @@ -566,6 +579,7 @@ function worker_function(documenterSearchIndex, documenterBaseURL, filters) { // Only return relevant results return result.score >= 1; }, + combineWith: "AND", }); // Pre-filter to deduplicate and limit to 200 per category to the extent diff --git a/dev/assets/themes/catppuccin-frappe.css b/dev/assets/themes/catppuccin-frappe.css new file mode 100644 index 00000000..32e3f008 --- /dev/null +++ b/dev/assets/themes/catppuccin-frappe.css @@ -0,0 +1 @@ +html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis,html.theme--catppuccin-frappe .file-cta,html.theme--catppuccin-frappe .file-name,html.theme--catppuccin-frappe .select select,html.theme--catppuccin-frappe .textarea,html.theme--catppuccin-frappe .input,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-frappe .button{-moz-appearance:none;-webkit-appearance:none;align-items:center;border:1px solid transparent;border-radius:.4em;box-shadow:none;display:inline-flex;font-size:1rem;height:2.5em;justify-content:flex-start;line-height:1.5;padding-bottom:calc(0.5em - 1px);padding-left:calc(0.75em - 1px);padding-right:calc(0.75em - 1px);padding-top:calc(0.5em - 1px);position:relative;vertical-align:top}html.theme--catppuccin-frappe .pagination-previous:focus,html.theme--catppuccin-frappe .pagination-next:focus,html.theme--catppuccin-frappe .pagination-link:focus,html.theme--catppuccin-frappe .pagination-ellipsis:focus,html.theme--catppuccin-frappe .file-cta:focus,html.theme--catppuccin-frappe .file-name:focus,html.theme--catppuccin-frappe .select select:focus,html.theme--catppuccin-frappe 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html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe 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.button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe 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.button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe 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.button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe 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.button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe 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.button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-frappe .content.is-normal{font-size:1rem}html.theme--catppuccin-frappe .content.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .content.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-frappe .icon.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-frappe .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-frappe .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-frappe .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-frappe .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-frappe .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-frappe div.icon-text{display:flex}html.theme--catppuccin-frappe .image,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-frappe .image img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-frappe .image img.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-frappe .image.is-fullwidth,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-frappe .image.is-square img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-frappe .image.is-square .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-frappe .image.is-1by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-frappe .image.is-1by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-frappe .image.is-5by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-frappe .image.is-5by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-frappe .image.is-4by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-frappe .image.is-4by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-frappe .image.is-3by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-frappe .image.is-5by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-frappe .image.is-5by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-frappe .image.is-16by9 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-frappe .image.is-16by9 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-frappe .image.is-2by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-frappe .image.is-2by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-frappe .image.is-3by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-frappe .image.is-3by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-frappe .image.is-4by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-frappe .image.is-4by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-frappe .image.is-3by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-frappe .image.is-3by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-frappe .image.is-2by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-frappe .image.is-2by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-frappe .image.is-3by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-frappe .image.is-9by16 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-frappe .image.is-9by16 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-frappe .image.is-1by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-frappe .image.is-1by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-frappe .image.is-1by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-frappe .image.is-1by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-frappe .image.is-square,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-frappe .image.is-1by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-frappe .image.is-5by4,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-frappe .image.is-4by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-frappe .image.is-3by2,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-frappe .image.is-5by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-frappe .image.is-16by9,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--catppuccin-frappe .image.is-2by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--catppuccin-frappe .image.is-3by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--catppuccin-frappe .image.is-4by5,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--catppuccin-frappe .image.is-3by4,html.theme--catppuccin-frappe #documenter .docs-sidebar 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.button.is-primary.is-light.is-active,html.theme--catppuccin-latte .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:hover,html.theme--catppuccin-latte .button.is-link.is-hovered{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus,html.theme--catppuccin-latte .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus:not(:active),html.theme--catppuccin-latte .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(30,102,245,0.25)}html.theme--catppuccin-latte .button.is-link:active,html.theme--catppuccin-latte .button.is-link.is-active{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:#1e66f5;box-shadow:none}html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-outlined.is-focused{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-link.is-light{background-color:#ebf2fe;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:hover,html.theme--catppuccin-latte .button.is-link.is-light.is-hovered{background-color:#dfe9fe;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:active,html.theme--catppuccin-latte .button.is-link.is-light.is-active{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:hover,html.theme--catppuccin-latte .button.is-info.is-hovered{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus,html.theme--catppuccin-latte .button.is-info.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus:not(:active),html.theme--catppuccin-latte .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(23,146,153,0.25)}html.theme--catppuccin-latte .button.is-info:active,html.theme--catppuccin-latte .button.is-info.is-active{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:#179299;box-shadow:none}html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;color:#179299}html.theme--catppuccin-latte .button.is-info.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-outlined.is-focused{background-color:#179299;border-color:#179299;color:#fff}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-info.is-light{background-color:#edfcfc;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:hover,html.theme--catppuccin-latte .button.is-info.is-light.is-hovered{background-color:#e2f9fb;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:active,html.theme--catppuccin-latte .button.is-info.is-light.is-active{background-color:#d7f7f9;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:hover,html.theme--catppuccin-latte .button.is-success.is-hovered{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus,html.theme--catppuccin-latte .button.is-success.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus:not(:active),html.theme--catppuccin-latte .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(64,160,43,0.25)}html.theme--catppuccin-latte .button.is-success:active,html.theme--catppuccin-latte .button.is-success.is-active{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:#40a02b;box-shadow:none}html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-outlined.is-focused{background-color:#40a02b;border-color:#40a02b;color:#fff}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table td,html.theme--catppuccin-latte .content table th{border:1px solid #acb0be;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-latte .content table th{color:#41445a}html.theme--catppuccin-latte .content table th:not([align]){text-align:inherit}html.theme--catppuccin-latte .content table thead td,html.theme--catppuccin-latte .content table thead th{border-width:0 0 2px;color:#41445a}html.theme--catppuccin-latte .content table tfoot td,html.theme--catppuccin-latte .content table tfoot th{border-width:2px 0 0;color:#41445a}html.theme--catppuccin-latte .content table tbody tr:last-child td,html.theme--catppuccin-latte .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-latte .content .tabs li+li{margin-top:0}html.theme--catppuccin-latte .content.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-latte .content.is-normal{font-size:1rem}html.theme--catppuccin-latte .content.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .content.is-large{font-size:1.5rem}html.theme--catppuccin-latte .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-latte .icon.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-latte .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-latte .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-latte .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-latte .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-latte .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-latte div.icon-text{display:flex}html.theme--catppuccin-latte .image,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-latte .image img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-latte .image img.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-latte .image.is-fullwidth,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-latte .image.is-square img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-latte .image.is-square .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-latte .image.is-1by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-latte .image.is-1by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-latte .image.is-5by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-latte .image.is-5by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-latte .image.is-4by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-latte .image.is-4by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-latte .image.is-3by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-latte .image.is-5by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-latte .image.is-5by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-latte .image.is-16by9 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-latte .image.is-16by9 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-latte .image.is-2by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-latte .image.is-2by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-latte .image.is-3by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-latte .image.is-3by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-latte .image.is-4by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-latte .image.is-4by5 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-latte .image.is-3by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-latte .image.is-3by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-latte .image.is-2by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-latte .image.is-2by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-latte .image.is-3by5 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-latte .image.is-9by16 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-latte .image.is-9by16 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-latte .image.is-1by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-latte .image.is-1by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-latte .image.is-1by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-latte .image.is-1by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-latte .image.is-square,html.theme--catppuccin-latte #documenter 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a.navbar-item{padding-right:3rem}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:focus,html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#8c8fa1}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}.navbar.is-spaced html.theme--catppuccin-latte .navbar-dropdown,html.theme--catppuccin-latte .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--catppuccin-latte .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-latte .navbar-divider{display:block}html.theme--catppuccin-latte .navbar>.container .navbar-brand,html.theme--catppuccin-latte .container>.navbar 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.button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white:focus,html.theme--catppuccin-macchiato .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white:focus:not(:active),html.theme--catppuccin-macchiato .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .button.is-white:active,html.theme--catppuccin-macchiato .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--catppuccin-macchiato .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--catppuccin-macchiato .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-white.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato 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.button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:hover,html.theme--catppuccin-macchiato .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus,html.theme--catppuccin-macchiato .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus:not(:active),html.theme--catppuccin-macchiato .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-macchiato .button.is-black:active,html.theme--catppuccin-macchiato .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:hover,html.theme--catppuccin-macchiato .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus,html.theme--catppuccin-macchiato .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus:not(:active),html.theme--catppuccin-macchiato .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-macchiato .button.is-light:active,html.theme--catppuccin-macchiato .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-light.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-dark,html.theme--catppuccin-macchiato .content kbd.button{background-color:#363a4f;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:hover,html.theme--catppuccin-macchiato .content kbd.button:hover,html.theme--catppuccin-macchiato .button.is-dark.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-hovered{background-color:#313447;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus,html.theme--catppuccin-macchiato .content kbd.button:focus,html.theme--catppuccin-macchiato .button.is-dark.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus:not(:active),html.theme--catppuccin-macchiato .content kbd.button:focus:not(:active),html.theme--catppuccin-macchiato .button.is-dark.is-focused:not(:active),html.theme--catppuccin-macchiato .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(54,58,79,0.25)}html.theme--catppuccin-macchiato .button.is-dark:active,html.theme--catppuccin-macchiato .content kbd.button:active,html.theme--catppuccin-macchiato .button.is-dark.is-active,html.theme--catppuccin-macchiato .content kbd.button.is-active{background-color:#2c2f40;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark[disabled],html.theme--catppuccin-macchiato .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button{background-color:#363a4f;border-color:#363a4f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-dark.is-inverted,html.theme--catppuccin-macchiato .content kbd.button.is-inverted{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted:hover,html.theme--catppuccin-macchiato 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.button.is-dark.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-focused{background-color:#363a4f;border-color:#363a4f;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato 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.button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons 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.button.is-text{background-color:transparent;border-color:transparent;box-shadow:none}html.theme--catppuccin-mocha .button.is-ghost{background:none;border-color:rgba(0,0,0,0);color:#89b4fa;text-decoration:none}html.theme--catppuccin-mocha .button.is-ghost:hover,html.theme--catppuccin-mocha .button.is-ghost.is-hovered{color:#89b4fa;text-decoration:underline}html.theme--catppuccin-mocha .button.is-white{background-color:#fff;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-white:hover,html.theme--catppuccin-mocha .button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-white:focus,html.theme--catppuccin-mocha .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-white:focus:not(:active),html.theme--catppuccin-mocha .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-mocha .button.is-white:active,html.theme--catppuccin-mocha .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-white[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--catppuccin-mocha .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-inverted:hover,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--catppuccin-mocha .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-outlined:hover,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-white.is-outlined:focus,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:hover,html.theme--catppuccin-mocha .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:focus,html.theme--catppuccin-mocha .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:focus:not(:active),html.theme--catppuccin-mocha .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-mocha .button.is-black:active,html.theme--catppuccin-mocha .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:hover,html.theme--catppuccin-mocha .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus,html.theme--catppuccin-mocha .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus:not(:active),html.theme--catppuccin-mocha .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-mocha .button.is-light:active,html.theme--catppuccin-mocha .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-dark,html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:hover,html.theme--catppuccin-mocha .content kbd.button:hover,html.theme--catppuccin-mocha .button.is-dark.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-hovered{background-color:#2c2d3d;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus,html.theme--catppuccin-mocha .content kbd.button:focus,html.theme--catppuccin-mocha .button.is-dark.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus:not(:active),html.theme--catppuccin-mocha .content kbd.button:focus:not(:active),html.theme--catppuccin-mocha .button.is-dark.is-focused:not(:active),html.theme--catppuccin-mocha .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(49,50,68,0.25)}html.theme--catppuccin-mocha .button.is-dark:active,html.theme--catppuccin-mocha .content kbd.button:active,html.theme--catppuccin-mocha .button.is-dark.is-active,html.theme--catppuccin-mocha .content kbd.button.is-active{background-color:#262735;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark[disabled],html.theme--catppuccin-mocha .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:#313244;box-shadow:none}html.theme--catppuccin-mocha .button.is-dark.is-inverted,html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-dark.is-inverted[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-focused{background-color:#313244;border-color:#313244;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-primary,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:transparent;color:#fff}html.theme--catppuccin-mocha 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha 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.button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha 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kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content 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html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content 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.button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fdeeec;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#fce3e0;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#fcd8d5;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content 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html.theme--documenter-dark .navbar-dropdown,html.theme--documenter-dark .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--documenter-dark .navbar-dropdown.is-right{left:auto;right:0}html.theme--documenter-dark .navbar-divider{display:block}html.theme--documenter-dark .navbar>.container .navbar-brand,html.theme--documenter-dark .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--documenter-dark .navbar>.container .navbar-menu,html.theme--documenter-dark .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop,html.theme--documenter-dark .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark 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a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:1rem;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--documenter-dark .pagination.is-medium{font-size:1.25rem}html.theme--documenter-dark .pagination.is-large{font-size:1.5rem}html.theme--documenter-dark .pagination.is-rounded .pagination-previous,html.theme--documenter-dark #documenter .docs-sidebar 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.button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-white.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark 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.button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f4c72f #f4c72f !important}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-warning.is-light{background-color:#fefaec;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:hover,html.theme--documenter-dark .button.is-warning.is-light.is-hovered{background-color:#fdf7e0;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:active,html.theme--documenter-dark .button.is-warning.is-light.is-active{background-color:#fdf3d3;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:hover,html.theme--documenter-dark .button.is-danger.is-hovered{background-color:#c13930;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus,html.theme--documenter-dark .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus:not(:active),html.theme--documenter-dark .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(203,60,51,0.25)}html.theme--documenter-dark .button.is-danger:active,html.theme--documenter-dark .button.is-danger.is-active{background-color:#b7362e;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:#cb3c33;box-shadow:none}html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#cb3c33;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-outlined.is-focused{background-color:#cb3c33;border-color:#cb3c33;color:#fff}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #cb3c33 #cb3c33 !important}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#cb3c33;box-shadow:none;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #cb3c33 #cb3c33 !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--documenter-dark .icon.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--documenter-dark .icon.is-medium{height:2rem;width:2rem}html.theme--documenter-dark .icon.is-large{height:3rem;width:3rem}html.theme--documenter-dark .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--documenter-dark .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--documenter-dark .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--documenter-dark .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--documenter-dark div.icon-text{display:flex}html.theme--documenter-dark .image,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--documenter-dark .image 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span.sgr42{background-color:#066f00}.ansi span.sgr43{background-color:#856b00}.ansi span.sgr44{background-color:#2149b0}.ansi span.sgr45{background-color:#7d4498}.ansi span.sgr46{background-color:#007989}.ansi span.sgr47{background-color:gray}.ansi span.sgr90{color:#616161}.ansi span.sgr91{color:#cb3c33}.ansi span.sgr92{color:#0e8300}.ansi span.sgr93{color:#a98800}.ansi span.sgr94{color:#3c5dcd}.ansi span.sgr95{color:#9256af}.ansi span.sgr96{color:#008fa3}.ansi span.sgr97{color:#f5f5f5}.ansi span.sgr100{background-color:#616161}.ansi span.sgr101{background-color:#cb3c33}.ansi span.sgr102{background-color:#0e8300}.ansi span.sgr103{background-color:#a98800}.ansi span.sgr104{background-color:#3c5dcd}.ansi span.sgr105{background-color:#9256af}.ansi span.sgr106{background-color:#008fa3}.ansi span.sgr107{background-color:#f5f5f5}code.language-julia-repl>span.hljs-meta{color:#066f00;font-weight:bolder}/*! Theme: Default Description: Original highlight.js style Author: (c) Ivan Sagalaev diff --git a/dev/decomposition/index.html b/dev/decomposition/index.html index 505874b9..9b66f1ba 100644 --- a/dev/decomposition/index.html +++ b/dev/decomposition/index.html @@ -1,25 +1,2 @@ -Decomposition · GeometryBasics.jl

Decomposition

GeometryBasics Mesh interface

GeometryBasics defines an interface to decompose abstract geometries into points and triangle meshes. This can be done for any arbitrary primitive, by overloading the following interface:


-function GeometryBasics.coordinates(rect::Rect2, nvertices=(2,2))
-    mini, maxi = extrema(rect)
-    xrange, yrange = LinRange.(mini, maxi, nvertices)
-    return ivec(((x,y) for x in xrange, y in yrange))
-end
-
-function GeometryBasics.faces(rect::Rect2, nvertices=(2, 2))
-    w, h = nvertices
-    idx = LinearIndices(nvertices)
-    quad(i, j) = QuadFace{Int}(idx[i, j], idx[i+1, j], idx[i+1, j+1], idx[i, j+1])
-    return ivec((quad(i, j) for i=1:(w-1), j=1:(h-1)))
-end

Those methods, for performance reasons, expect you to return an iterator, to make materializing them with different element types allocation free. But of course, can also return any AbstractArray.

With these methods defined, this constructor will magically work:

rect = Rect2(0.0, 0.0, 1.0, 1.0)
-m = GeometryBasics.mesh(rect)

If you want to set the nvertices argument, you need to wrap your primitive in a Tesselation object:

m = GeometryBasics.mesh(Tesselation(rect, (50, 50)))
-length(coordinates(m)) == 50^2

As you can see, coordinates and faces are also defined on a mesh

coordinates(m)
-faces(m)

But will actually not be an iterator anymore. Instead, the mesh constructor uses the decompose function, that will collect the result of coordinates and will convert it to a concrete element type:

decompose(Point2f, rect) == convert(Vector{Point2f}, collect(coordinates(rect)))

The element conversion is handled by simplex_convert, which also handles convert between different face types:

decompose(QuadFace{Int}, rect) == convert(Vector{QuadFace{Int}}, collect(faces(rect)))
-length(decompose(QuadFace{Int}, rect)) == 1
-fs = decompose(GLTriangleFace, rect)
-fs isa Vector{GLTriangleFace}
-length(fs) == 2 # 2 triangles make up one quad ;)

mesh uses the most natural element type by default, which you can get with the unqualified Point type:

decompose(Point, rect) isa Vector{Point{2, Float64}}

You can also pass the element type to mesh:

m = GeometryBasics.mesh(rect, pointtype=Point2f, facetype=QuadFace{Int})

You can also set the uv and normal type for the mesh constructor, which will then calculate them for you, with the requested element type:

m = GeometryBasics.mesh(rect, uv=Vec2f, normaltype=Vec3f)

As you can see, the normals are automatically calculated, the same is true for texture coordinates. You can overload this behavior by overloading normals or texturecoordinates the same way as coordinates. decompose works a bit different for normals/texturecoordinates, since they dont have their own element type. Instead, you can use decompose like this:

decompose(UV(Vec2f), rect)
-decompose(Normal(Vec3f), rect)
-# the short form for the above:
-decompose_uv(rect)
-decompose_normals(rect)

You can also use triangle_mesh, normal_mesh and uv_normal_mesh to call the mesh constructor with predefined element types (Point2/3f, Vec2/3f), and the requested attributes.

+Decomposition · GeometryBasics.jl

Decomposition

decompose functions

The decompose functions allow you to grab certain data from an AbstractGeometry like a mesh or primitive and convert it to a requested type, if possible. They can also be used to convert an array of e.g. faces into a different face type directly. The default decomposition implemented by GeoemtryBasics are:

  • decompose(::Type{<: Point}, source) which collects data from source using coordinates(source) and converts it to the given point type.
  • decompose_normals([::Type{<: Vec},] source) = decompose([::Type{Normals{<: Vec}}},] source) which collects data with normals(source) and converts it to the given Vec type.
  • decompose_uv([::Type{<: Vec},] source) = decompose([::Type{UV{<: Vec}}},] source) which collects data with texturecoordinates(source) and converts it to the given Vec type. This function also exists with UVW texture coordinates.
  • decompose(::Type{<: AbstractFace}, source) which collects data with faces(source) and converts it to the given face type.

Extending decompose

For decompose to work there needs to be a conversion from some element type to some target type. GeometryBasics relies on GeometryBasics.convert_simplex(TargetType, value) for this. If you want to add new types to decompose, e.g. a new face type, you will need to add a method to that function.

Primitive decomposition

GeometryBasics defines an interface to decompose geometry primitives into vertex attributes and faces. The interface includes four functions:

  • coordinates(primitive[, nvertices]) which produces the positions associated with the primitive
  • faces(primitive[, nvertices]) which produces the faces which connect the vertex positions to a mesh
  • normals(primitive[, nvertices]) which optionally provide normal vectors of the primitive
  • texturecoordinates(primitive[, nvertices]) which optional provide texture coordinates (uv/uvw) of the primitive
diff --git a/dev/implementation/index.html b/dev/implementation/index.html deleted file mode 100644 index b69ed71a..00000000 --- a/dev/implementation/index.html +++ /dev/null @@ -1,2 +0,0 @@ - -Implementation · GeometryBasics.jl

Implementation

In the backend, GeometryTypes relies on fixed-size arrays, specifically static vectors.

TODO add more here.

diff --git a/dev/index.html b/dev/index.html index 1e111b8b..9d8f29e9 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,23 +1,14 @@ -GeometryBasics.jl · GeometryBasics.jl

GeometryBasics.jl

Basic geometry types.

This package aims to offer a standard set of geometry types that easily work with metadata, query frameworks on geometries and different memory layouts. The aim is to create a solid basis for graphics/plotting, finite element analysis, geo applications, and general geometry manipulations - while offering a Julian API that still allows performant C-interop.

This package is a replacement for the discontinued GeometryTypes.

Quick start

Create some points:

julia> using GeometryBasics
julia> p1 = Point(3, 1)2-element Point{2, Int64} with indices SOneTo(2): +GeometryBasics.jl · GeometryBasics.jl

GeometryBasics.jl

Basic geometry types.

This package aims to offer a standard set of geometry types that easily work with metadata, query frameworks on geometries and different memory layouts. The aim is to create a solid basis for graphics/plotting, finite element analysis, geo applications, and general geometry manipulations - while offering a Julian API that still allows performant C-interop.

This package is a replacement for the discontinued GeometryTypes.

Quick start

Create some points:

julia> using GeometryBasics
julia> p1 = Point(3, 1)2-element Point{2, Int64} with indices SOneTo(2): 3 - 1
julia> p2 = Point(1, 3);
julia> p3 = Point(4, 4);

Geometries can carry metadata:

julia> poi = meta(p1, city="Abuja", rainfall=1221.2)2-element PointMeta{2, Int64, Point{2, Int64}, (:city, :rainfall), Tuple{String, Float64}} with indices SOneTo(2):
- 3
- 1

Metadata is stored in a NamedTuple and can be retrieved as such:

julia> meta(poi)(city = "Abuja", rainfall = 1221.2)

Specific metadata attributes can be directly retrieved:

julia> poi.rainfall1221.2

To remove the metadata and keep only the geometry, use metafree:

julia> metafree(poi)2-element Point{2, Int64} with indices SOneTo(2):
- 3
- 1

Geometries have predefined metatypes:

julia> multipoi = MultiPointMeta([p1], city="Abuja", rainfall=1221.2)1-element MultiPointMeta{Point{2, Int64}, MultiPoint{2, Int64, Point{2, Int64}, Vector{Point{2, Int64}}}, (:city, :rainfall), Tuple{String, Float64}}:
- [3, 1]

Connect the points with lines:

julia> l1 = Line(p1, p2)Line([3, 1] => [1, 3])
julia> l2 = Line(p2, p3);

Connect the lines in a linestring:

julia> LineString([l1, l2])2-element LineString{2, Int64, Point{2, Int64}, Vector{Line{2, Int64}}}:
- Line([3, 1] => [1, 3])
- Line([1, 3] => [4, 4])

Linestrings can also be constructed directly from points:

julia> LineString([p1, p2, p3])2-element LineString{2, Int64, Point{2, Int64}, Base.ReinterpretArray{Line{2, Int64}, 1, Tuple{Point{2, Int64}, Point{2, Int64}}, TupleView{Tuple{Point{2, Int64}, Point{2, Int64}}, 2, 1, Vector{Point{2, Int64}}}, false}}:
- Line([3, 1] => [1, 3])
- Line([1, 3] => [4, 4])

The same goes for polygons:

julia> Polygon(Point{2, Int}[(3, 1), (4, 4), (2, 4), (1, 2), (3, 1)])Polygon{2, Int64, Point{2, Int64}, LineString{2, Int64, Point{2, Int64}, Base.ReinterpretArray{Line{2, Int64}, 1, Tuple{Point{2, Int64}, Point{2, Int64}}, TupleView{Tuple{Point{2, Int64}, Point{2, Int64}}, 2, 1, Vector{Point{2, Int64}}}, false}}, Vector{LineString{2, Int64, Point{2, Int64}, Base.ReinterpretArray{Line{2, Int64}, 1, Tuple{Point{2, Int64}, Point{2, Int64}}, TupleView{Tuple{Point{2, Int64}, Point{2, Int64}}, 2, 1, Vector{Point{2, Int64}}}, false}}}}(Line{2, Int64}[Line([3, 1] => [4, 4]), Line([4, 4] => [2, 4]), Line([2, 4] => [1, 2]), Line([1, 2] => [3, 1])], LineString{2, Int64, Point{2, Int64}, Base.ReinterpretArray{Line{2, Int64}, 1, Tuple{Point{2, Int64}, Point{2, Int64}}, TupleView{Tuple{Point{2, Int64}, Point{2, Int64}}, 2, 1, Vector{Point{2, Int64}}}, false}}[])

Create a rectangle placed at the origin with unit width and height:

julia> rect = Rect(Vec(0.0, 0.0), Vec(1.0, 1.0))HyperRectangle{2, Float64}([0.0, 0.0], [1.0, 1.0])

Decompose the rectangle into two triangular faces:

julia> rect_faces = decompose(TriangleFace{Int}, rect)2-element Vector{TriangleFace{Int64}}:
- TriangleFace(1, 2, 4)
- TriangleFace(1, 4, 3)

Decompose the rectangle into four vertices:

julia> rect_vertices = decompose(Point{2, Float64}, rect)4-element Vector{Point{2, Float64}}:
+ 1
julia> p2 = Point(1, 3);
julia> p3 = Point(4, 4);

Connect pairs of points as line segments:

julia> l1 = Line(p1, p2)Line([3, 1] => [1, 3])
julia> l2 = Line(p2, p3);

Or connect multiple points as a linestring:

julia> LineString([p1, p2, p3])LineString{2, Int64}(Point{2, Int64}[[3, 1], [1, 3], [4, 4]])

You can also create polygons from points:

julia> Polygon(Point{2, Int}[(3, 1), (4, 4), (2, 4), (1, 2), (3, 1)])Polygon{2, Int64}(Point{2, Int64}[[3, 1], [4, 4], [2, 4], [1, 2], [3, 1]], Vector{Point{2, Int64}}[])

Create a rectangle placed at the origin with unit width and height:

julia> rect = Rect(Vec(0.0, 0.0), Vec(1.0, 1.0))HyperRectangle{2, Float64}([0.0, 0.0], [1.0, 1.0])

Decompose the rectangle into two triangular faces:

julia> rect_faces = decompose(TriangleFace{Int}, rect)2-element Vector{TriangleFace{Int64}}:
+ TriangleFace{Int64}(1, 2, 3)
+ TriangleFace{Int64}(1, 3, 4)

Decompose the rectangle into four positions:

julia> rect_positions = decompose(Point{2, Float64}, rect)4-element Vector{Point{2, Float64}}:
  [0.0, 0.0]
  [1.0, 0.0]
- [0.0, 1.0]
- [1.0, 1.0]

Combine the vertices and faces into a triangle mesh:

julia> mesh = Mesh(rect_vertices, rect_faces)Mesh{2, Float64, Triangle}:
- Triangle([0.0, 0.0], [1.0, 0.0], [1.0, 1.0])
- Triangle([0.0, 0.0], [1.0, 1.0], [0.0, 1.0])

Use GeometryBasics.mesh to get a mesh directly from a geometry:

julia> mesh = GeometryBasics.mesh(rect)Mesh{2, Float64, Triangle}:
- Triangle([0.0, 0.0], [1.0, 0.0], [1.0, 1.0])
- Triangle([0.0, 0.0], [1.0, 1.0], [0.0, 1.0])

Aliases

GeometryBasics exports common aliases for Point, Vec, Mat and Rect:

Vec

T(eltype)Float64Float32IntUInt
N(dim)Vec{N,T}Vecd{N}Vecf{N}Veci{N}Vecui{N}
2Vec2{T}Vec2dVec2fVec2iVec2ui
3Vec3{T}Vec3dVec3fVec3iVec3ui

Point

T(eltype)Float64Float32IntUInt
N(dim)Point{N,T}Pointd{N}Pointf{N}Pointi{N}Pointui{N}
2Point2{T}Point2dPoint2fPoint2iPoint2ui
3Point3{T}Point3dPoint3fPoint3iPoint3ui

Mat

T(eltype)Float64Float32IntUInt
N(dim)Mat{N,T}Matd{N}Matf{N}Mati{N}Matui{N}
2Mat2{T}Mat2dMat2fMat2iMat2ui
3Mat3{T}Mat3dMat3fMat3iMat3ui

Rect

T(eltype)Float64Float32IntUInt
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}Rectui{N}
2Rect2{T}Rect2dRect2fRect2iRect2ui
3Rect3{T}Rect3dRect3fRect3iRect3ui
+ [1.0, 1.0] + [0.0, 1.0]

Combine the vertices and faces into a triangle mesh:

julia> mesh = Mesh(rect_positions, rect_faces)Mesh{2, Float64, TriangleFace{Int64}}
+    faces: 2
+    vertex position: 4

Use GeometryBasics.mesh to get a mesh directly from a geometry:

julia> mesh = GeometryBasics.mesh(rect)Mesh{2, Float64, NgonFace{3, OffsetInteger{-1, UInt32}}}
+    faces: 2
+    vertex position: 4
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+Meshes · GeometryBasics.jl

Meshes

GeometryBasics defines two mesh types to work with - Mesh and MetaMesh

Mesh

GeometryBasics.MeshType
Mesh{PositionDim, PositionType, FaceType, VertexAttributeNames, VertexAttributeTypes, FaceVectorType} <: AbstractMesh{PositionDim, PositionType} <: AbstractGeometry{PositionDim, PositionType}

The type of a concrete mesh. The associated struct contains 3 fields:

struct Mesh{...}
+    vertex_attributes::NamedTuple{VertexAttributeNames, VertexAttributeTypes}
+    faces::FaceVectorType
+    views::Vector{UnitRange{Int}}
+end

A vertex typically carries multiple distinct pieces of data, e.g. a position, a normal, a texture coordinate, etc. We call those pieces of data vertex attributes. The vertex_attributes field contains the name and a collection <: AbstractVector or <: FaceView for each attribute. The n-th element of that collection is the value of the corresponding attribute for the n-th vertex.

#                   vertex       1        2        3
+vertex_attributes[:position] = [pos1,    pos2,    pos3,    ...]
+vertex_attributes[:normal]   = [normal1, normal2, normal3, ...]
+...

A NamedTuple is used here to allow different meshes to carry different vertex attributes while also keeping things type stable. The constructor enforces a few restrictions:

  • The first attribute must be named position and must have a Point{PositionDim, PositionType} eltype.
  • Each vertex attribute must refer to the same number of vertices. (All vertex attributes defined by

AbstractVector must match in length. For FaceViews, the number of faces needs to match.)

See also: vertex_attributes, coordinates, normals, texturecoordinates, decompose, FaceView, expand_faceviews

The faces field is a collection <: AbstractVector{FaceType} containing faces that describe how vertices are connected. Typically these are (GL)TriangleFaces or QuadFaces, but they can be any collection of vertex indices <: AbstractFace.

See also: faces, decompose

The views field can be used to separate the mesh into mutliple submeshes. Each submesh is described by a "view" into the faces vector, i.e. submesh n uses mesh.faces[mesh.views[n]]. A Mesh can be constructed without views, which results in an empty views vector.

See also: merge, split_mesh

source

You can get data from a mesh using a few interface functions:

  • vertex_attributes(mesh) = mesh.vertex_attributes
  • coordinates(mesh) = mesh.vertex_attributes[:position]
  • normals(mesh) = mesh.vertex_attributes[:normal]
  • texturecoordinates(mesh) = mesh.vertex_attributes[:uv]
  • faces(mesh) = mesh.faces

You can also grab the contents of mesh.vertex_attributes as if they were fields of the Mesh, e.g. mesh.position works.

FaceView

GeometryBasics.FaceViewType
FaceView(data, faces)

A FaceView is an alternative to passing a vertex attribute directly to a mesh. It bundles data with a new set of faces which may index that data differently from the faces defined in a mesh. This can be useful to avoid duplication in data.

For example, data can be defined per face by giving each face just one (repeated) index:

per_face_normals = FaceView(
+    normals,                 # one per face
+    FT.(eachindex(normals))  # with FT = facetype(mesh)
+)

If you need a mesh with strictly per-vertex data, e.g. for rendering, you can use expand_faceviews(mesh) to convert every vertex attribute to be per-vertex. This will duplicate data and reorder faces as needed.

You can get the data of a FaceView with values(faceview) and the faces with faces(faceview).

source

The purpose of FaceView is to allow you to add data that doesn't use the same vertex indices as mesh.faces As a minimal example consider a mesh that is just one triangle, i.e. 3 position and one triangle face TriangleFace(1,2,3). Let's say we want to add a flat color to the triangle. In this case we only have one color, but our face refers to 3 different vertices (3 different positions). To avoid duplicating the color data, we can instead define a new triangle face TriangleFace(1) and add the color attribute as a FaceView([color], [TriangleFace(1)]). If we ever need the mesh to be defined with just one common set of faces, i.e. no FaceView and appropriately duplicated vertex data, we can use expand_faceviews(mesh) to generate it.

On a larger scale this can be useful for memory and performance reason, e.g. when you do calculations with vertex attributes. It can also simplify some definitions, like for example Rect3. In that case we have 8 positions and 6 normals with FaceViews, or 24 without (assuming per-face normals).

MetaMesh

MetaMesh

How to create a mesh

GeometryBasics

In GeometryBasics you mainly create meshes from primitives using a few constructors:

  • triangle_mesh(primitive) generates the most basic mesh (i.e. positions and faces)
  • normal_mesh(primitive) generates a mesh with normals (generated if the primitive doesn't implement normal())
  • uv_mesh(primitive) generates a mesh with texture coordinates (generated if the primitive doesn't implement texturecoordinates())
  • uv_normal_mesh(primitive) generates a mesh with normals and texture coordinates

Each of these constructors also includes keyword arguments for setting types, i.e. pointtype, facetype, normaltype and uvtype as appropriate. Of course you can also construct a mesh directly from data, either with there various Mesh() or GeometryBasics.mesh() constructors. The latter also include a pointtype and facetype conversion.

Finally there is also a merge(::Vector{Mesh}) function which combines multiple meshes into a single one. Note that this doesn't remove any data (e.g. hidden or duplicate vertices), and may remove FaceViews if they are incompatible between meshes.

Meshing.jl

MeshIO.jl

The MeshIO.jl package provides load/save support for several file formats which store meshes.

using GLMakie, GLMakie.FileIO, GeometryBasics
+
+m = load(GLMakie.assetpath("cat.obj"))
+GLMakie.mesh(m; color=load(GLMakie.assetpath("diffusemap.png")), axis=(; show_axis=false))
Example block output
diff --git a/dev/metadata/index.html b/dev/metadata/index.html deleted file mode 100644 index 2e5581c7..00000000 --- a/dev/metadata/index.html +++ /dev/null @@ -1,30 +0,0 @@ - -Metadata · GeometryBasics.jl

Metadata

Meta

The Meta method provides metadata handling capabilities in GeometryBasics. Similarly to remove the metadata and keep only the geometry, use metafree, and for vice versa i.e., remove the geometry and keep the metadata use meta.

Syntax

meta(geometry, meta::NamedTuple)
-meta(geometry; meta...)
-
-metafree(meta-geometry)
-meta(meta-geometry)

Examples

julia> using GeometryBasics
julia> p1 = Point(2.2, 3.6)2-element Point{2, Float64} with indices SOneTo(2): - 2.2 - 3.6
julia> poi = meta(p1, city="Abuja", rainfall=1221.2)2-element PointMeta{2, Float64, Point{2, Float64}, (:city, :rainfall), Tuple{String, Float64}} with indices SOneTo(2): - 2.2 - 3.6

Metadata is stored in a NamedTuple and can be retrieved as such:

julia> meta(poi)(city = "Abuja", rainfall = 1221.2)

Specific metadata attributes can be directly retrieved:

julia> poi.rainfall1221.2
julia> metafree(poi)2-element Point{2, Float64} with indices SOneTo(2): - 2.2 - 3.6

Metatypes are predefined for geometries:

julia> multipoi = MultiPointMeta([p1], city="Abuja", rainfall=1221.2)1-element MultiPointMeta{Point{2, Float64}, MultiPoint{2, Float64, Point{2, Float64}, Vector{Point{2, Float64}}}, (:city, :rainfall), Tuple{String, Float64}}:
- [2.2, 3.6]

(In the above example we have also used a geometry-specific meta method.)

julia> GeometryBasics.MetaType(Polygon)PolygonMeta
julia> GeometryBasics.MetaType(Mesh)MeshMeta

The metageometry objects are infact composed of the original geometry types.

julia> GeometryBasics.MetaFree(PolygonMeta)Polygon
julia> GeometryBasics.MetaFree(MeshMeta)Mesh

MetaT

In GeometryBasics we can have tabular layout for a collection of meta-geometries by putting them into a StructArray that extends the Tables.jl API.

In practice it's not necessary for the geometry or metadata types to be consistent. For example, a geojson format can have heterogeneous geometries. Hence, such cases require automatic widening of the geometry data types to the most appropriate type. The MetaT method works around the fact that, a collection of geometries and metadata of different types can be represented tabularly whilst widening to the appropriate type.

Syntax

MetaT(geometry, meta::NamedTuple)
-MetaT(geometry; meta...)

Returns a MetaT that holds a geometry and its metadata MetaT acts the same as Meta method. The difference lies in the fact that it is designed to handle geometries and metadata of different/heterogeneous types.

For example, while a Point MetaGeometry is a PointMeta, the MetaT representation is MetaT{Point}.

Examples

julia> MetaT(Point(1, 2), city = "Mumbai")MetaT{Point{2, Int64}, (:city,), Tuple{String}}([1, 2], (city = "Mumbai",))

For a tabular representation, an iterable of MetaT types can be passed on to a meta_table method.

Syntax

meta_table(iter)

Examples

Create an array of 2 linestrings:

julia> ls = [LineString([Point(i, i+1), Point(i-1,i+5)]) for i in 1:2];
julia> coordinates.(ls)2-element Vector{Vector{Point{2, Int64}}}: - [[1, 2], [0, 6]] - [[2, 3], [1, 7]]

Create a multi-linestring:

julia> mls = MultiLineString(ls);
julia> coordinates.(mls)2-element Vector{Vector{Point{2, Int64}}}: - [[1, 2], [0, 6]] - [[2, 3], [1, 7]]

Create a polygon:

julia> poly = Polygon(Point{2, Int}[(40, 40), (20, 45), (45, 30), (40, 40)]);
julia> coordinates(poly)4-element Vector{Point{2, Int64}}: - [40, 40] - [20, 45] - [45, 30] - [40, 40]

Put all geometries into an array:

julia> geom = [ls..., mls, poly];

Generate some random metadata:

julia> prop = [(country_states = "India$(i)", rainfall = (i*9)/2) for i in 1:4]4-element Vector{NamedTuple{(:country_states, :rainfall), Tuple{String, Float64}}}:
- (country_states = "India1", rainfall = 4.5)
- (country_states = "India2", rainfall = 9.0)
- (country_states = "India3", rainfall = 13.5)
- (country_states = "India4", rainfall = 18.0)
julia> feat = [MetaT(i, j) for (i,j) = zip(geom, prop)]; # create an array of MetaT

We can now generate a StructArray / Table with meta_table:

julia> sa = meta_table(feat);

The data can be accessed through sa.main and the metadata through sa.country_states and sa.rainfall. Here we print only the type names of the data items for brevity:

julia> [nameof.(typeof.(sa.main)) sa.country_states sa.rainfall]4×3 Matrix{Any}:
- :LineString       "India1"   4.5
- :LineString       "India2"   9.0
- :MultiLineString  "India3"  13.5
- :Polygon          "India4"  18.0

Disadvantages

  • The MetaT is pretty generic in terms of geometry types, it's not subtype to geometries. eg : A MetaT{Point, NamedTuple{Names, Types}} is not subtyped to AbstractPoint like a PointMeta is.

  • This might cause problems on using MetaT with other constructors/methods inside or even outside GeometryBasics methods designed to work with the main Meta types.

diff --git a/dev/objects.inv b/dev/objects.inv index 331e29b875bd11f893eca5077fc35c6022f0115d..9dfc193a91e2a87cc9e5b1f974760294f3e3e601 100644 GIT binary patch delta 2651 zcmV-h3Z(V&62%peg@4T(U2o$y^4-5eXwSg)5N&FuXs57*4Zp;1iS}-qd)P)MXUO4v&yX$36?%ypyt-Xgc@&SL=wGPXAY32bXHAhe z@BUm5wso;7aIr^?3Mfafqgnes*jDSqb5-h~d<+2j*I+G<^hpoPaJxeGmN_-V9P#$IFDtgTDAlnuy7W}-9 z#{hI;*C{No0^78_0+#VLiPrEWFCozEaLjz8W z5w#eD`@^~baevl2sv;-4mnB~voWc-#r@vcsD#^1$oo$L$_g-_i``{iX@)wpp=h0GQWF3RUvuwkYvw}(Q37TIWnZgT#;EAs!waGV-jjHYuD zog4fLXRQA~InK)GHR|S8yLoI|iC<+}EPZMa#({V+$$xURDA4B)ov4d_hTR4c4<62- zl?W=^Z2K7T%L_*3iilI%L-)chhP0r;cwJgMC;#fR-DF#Z^PN_=0`dG|>e zFm*r-SP}8G#HfA(-pAMRl(1xjN~*zGT%ymm9{cxktvO64VXMlo7CE|(RMaSo0M)jT z!LQZl7=KrBUL#Nr*kIFPFaR6jDq^s(BAKBU1{-wxBjUh=1V|nJ8K74&EKTJYFIQeK2xnb&SCr%{kgt{%|2DDh=1E`$nL|R-qXF{Z#w+x0nR;4z852N zdju$gKY}I!Bftc8Vl_VXJ*5-=Qg{Xl6E=g!9~)d}ITpj@Ohhb^;)M*93=~acs200=Nx>z3i5RDLkIoEM3?`8aeQrk*mXw z+J7$-S|wlKa^#W8f(wO$+AJnk>SM9k94rG@_3`eO(yFkOPXJ2G!pZ#ZR!kEjds!(7 z=w_w9Ckza4?uR#HX3-|QTA<0?#TFQ)$Qq#*Yj|YnSJTJc8W+rS^#h}qEqIwFanXB- z*GMDvXsl&3GbJ96q?|{Jj7BgD|7LTc{kj$x3WwaPo;x!Fte)RWB>q(*q$ycq+K3>N&G+kJn$?-PFNl| z_3DR<6xyZh*U4tPE-=j+39#s`b|7H%f_F8_tEyfVWrk4`h`8G?t;)zOV2|lZ30^{n z(q4vXYdcZ|0j?Cz&yc3&Gi=|xyRwqaMcvi#HGiE1UDT`7I!81m z<(ZJ|+Cd`3R&2X?Z`Z~%Iz?J;*=9gSOOGW#@(8;2b>}6n^ikm;d~kwVo`{MnJiBwH z;Or+~+agn~f!tvy=9it)YShNHC-Dx9SCmS6E7K24F{~cX!+ZJ)>*MfX2a-5<;n=L+QhU6@<9nDUoHh=dyW_1U}YWnKhzD8tE z@f>hH;6xcd@g?^bgPifm_U(hOh^S)Sc3S+m# zWG-|24_yd}vsEldQ#oq)j~+7!i7&L9%sR@B@*;upEMV?c&rh)Figg_43eNu zvJI8mP`=|RO@C*l`Rp%b5)PC2q#+hd+QlS-+hyK_gary1((|G@P6(j-bgCa33V!v% z>y>&6))xOatpzivzG;WSACxa>IHaC#gG&K}Z(u`vRHUoAbah1gZt!nd`P$Rf4G)tx zA)UdXOA>AW^Xv=X-q6Z#>AO2b8&p3dUrtC%F`pk+Fn|4LWjO*ZTOhV^Lm z3o6)meyybZxe{(9fA^sr5IWJTY++mRE8`ks!i;7obV zBkl3-_V27N|L(E}h_7 z%&Ltyx^MD6*O#3xbQj=ykL$4go>#au;)R&M!#*#4l;O123*KaOU8b2=Xea8ogA0qk z>oEW2mz)SG4PLuCf4$PY`_a}{aw%`*OUVC_ap7ab&FDZh%4bg93^d9o`C6YOoN_ zu)T&Kn^ceiEs*HT7+3Y?h)JQgl6L)~@=CjeNq(06aTB72Z2NY%@4>Ijq%5(yVkwx| J{{TbdpxCWqH)a3; delta 2309 zcmV+g3HtWM74j00g@4r=U2oeq@ZG;cz-C|@tfqE`bqo5ECiP}uQN2d>9s|av6Lqp= zNJ<(b@P8k_zbVp5gRKvVCGvPY-Z$@5R4e$9wB71tRWFltoFu=)dIP&=_YSnhvVHZr z9Bi9nQ*^~WY*j!xdX&t?^Pqvt4pcX#4lGBHl8@qfu&vA8O@CeKc-a`j%AN)r*xu^+ z=*UrWL4F4-xU4tZxQ z8(1yj0KKK+jlh=R8kQXTyYCJ73wa&^$WDY{(}5)d9hAW2yKNte^P&Z-dr)=Y#s*_Y zB!HNf*#~P66@S<1b=x&y*`=Mmr=kV;m<%!@kb?`*IVgYsu&tY}b@C}4%r@H+ZXhCD z$Wj0m+8l-d>#kV-leQgb?7hfbLgofo>m0;jDd+wCVG81zpXyafT~5nT76 zb88S1siousMptu+t1hapO+mFv7wG79)4Ml?P7rj$pnnH{)L+uBPQh{s+cp(;;?NKT znRInRAroRVr)2?J^SG1`Sct_k#0o@(V=*DqG0tdRHW0Bd1u3R2KrMw$0GT0HP*gX) zW}sVTikGB_9N4UZY4w&o^tHroC1UO1LUlwQJ^QHpRRN`VR>mU5rAqd4r|R-A+-mu7 z^0_?027jC=%4aM&E1G2qBLFY%%C4Yd3j_awrkl&{Epn4CXaogc6;=AFLR@{!?~pTi z%=V*%KIP&`onL?kG&hg=D9QE+;1auzU(|Op z_rCOJ%#pk%2SL9Cih*!o{p<#W1A#)JN6Z3Qj1mzi9frd=*AZ~o=-QNun=3zcdyj8V z_`nna?Hv;J<3i`wv7v$C@!9bBRK-czWfO&B;%$v=6qHx@WHl$S+Km$aFHDaI4W_Ny zQGcmu4=z%Odx~SXW{mup)STw|UYO)uT4z2MkC|#@V>F8X=D8FB@f+bIOF9%q*JwfS z^IWwS4mG!}E+1P%ncGOl42u0CT$->6^-lgS>#8z&N6*SRV`!zAL;^u7ihX=nZ{hw> z_)#*ex?g@4Tqke_zk}@7s8=}7&#Uv!vVRBz3{fb|gwyGg)Kl@0S#oMih7^M>Gh1LB zp(Zh@(&xoS>aYu!ZINiloRbT8&s44A|7^ zg{kpj4u@~ya@;`^B`G`8M_?mY;$SY6ClAu8BUH_o+LSY(<(87<4&I_07?-84X)Mz~ z{u16G(S~^`G1&^OCmRf>FCgB-rhmI?sV4|#_>`?oe~FJIJf_PsWcvt3zK zE7(jT2;$do-4-zeu`Fa#s_T<7ZzQsc+RP1qGfMa}=J>ukg~Oe( zSGI>8Z=y14Tv$uha*c#1*?${Plt-d;CJL=`Dxgg=*Tzndy^fOiw1$jSO{fqXk~bx} z$3kLd+c01f)M1OV2~v#~yK$W2J?scME0mg#!450GCQlY?++dN~>rUV?>-0(T!)zw1|wETg*r$7=PkrVeuQQ5b2cV z4vI0jpw`0F;5oZ6H^X1E6)z4XV1?fU?yig(JZW#|bS= zFtDkf-%a11@PsOS2#qo|KtyDChlK}cbP!9Y{mI>wqLzuGgUJ~=O0?SE*X7-Yi(G_` zAj8yUN?3DJ#8TMETYu*2u$=P%EsfC7K&dC|t@UK=ppThS;n7t$<8eVN>0~cZ)5)Gt z)ZqtEE*f?j$JFc0^2GkyO%^ELVEM9EUH&QP^ z*Ax$=Lq)q(j;inkjZgM^JBtjC$%My+ptBDrr?&VeQC%q;Dzl+{$59$sN+Zi(f1WUy ziBB9H*+d|d3xC{x{x~MkTZM%{YB-_x^pt|Dvp^7;+f6KeJ-jSScoNgUCO4NDKytP0 zVcuNn(8{LZ+mjy*p6-8)yTt~XH+L~-ZZU_IrG}GVZ9Zeb-+W1LY;{v!BqN}oRGt2_ zsJ@lTG$-{xs7hy^MqNz2p5+eSzd$QiN^O+P%vjB1{D15@;dP`1=*Xuf7qEr20y>4O0 zx`L4(flYCh>1*~^B|Xz3Hkk87)6x_gWi7{3R&qfLRj^c8+xvt9yiJDl3%13?T zvkHo>x9IKUS^w9yU**G?sPAB3!q -Polygons · GeometryBasics.jl
+Polygons · GeometryBasics.jl
diff --git a/dev/primitives/index.html b/dev/primitives/index.html index f287f52a..866e9929 100644 --- a/dev/primitives/index.html +++ b/dev/primitives/index.html @@ -1,2 +1,55 @@ -Primitives · GeometryBasics.jl
+Primitives · GeometryBasics.jl

Primitives

In GeometryBasics.jl, a GeometryPrimitive is an object from which a mesh can be constructed.

Existing GeometryPrimitives

GeometryBasics comes with a few predefined primitives:

HyperRectangle

A Rect{D, T} = HyperRectangle{D, T} is a D-dimensional axis-aligned hyperrectangle defined by an origin and a size.

julia> using GeometryBasics
julia> r1 = HyperRectangle{4, Float64}(Point{4, Float64}(0), Vec{4, Float64}(1))Rectd{4}([0.0, 0.0, 0.0, 0.0], [1.0, 1.0, 1.0, 1.0])
julia> r2 = Rect3f(Point3f(-1), Vec3f(2))HyperRectangle{3, Float32}(Float32[-1.0, -1.0, -1.0], Float32[2.0, 2.0, 2.0])
julia> r3 = Rect2i(0, 0, 1, 1)HyperRectangle{2, Int64}([0, 0], [1, 1])

Rect2 supports normal and texture coordinate generation as well as tesselation. Without tesselation, the coordinates of 2D Rects are defined in anti-clockwise order. Rect3 supports normals and texture coordinates, but not tesselation.

Shorthands:

T(eltype)Float64Float32IntUInt
N(dim)Rect{N,T}Rectd{N}Rectf{N}Recti{N}Rectui{N}
2Rect2{T}Rect2dRect2fRect2iRect2ui
3Rect3{T}Rect3dRect3fRect3iRect3ui

Sphere and Circle

Circle and Sphere are the 2 and 3 dimensional variants of HyperSphere. They are defined by an origin and a radius. While you can technically create a HyperSphere of any dimension, decomposition is only defined in 2D and 3D.

julia> s1 = HyperSphere{4, Int}(Point{4, Int}(0), 5)ERROR: UndefVarError: `HyperSphere` not defined in `Main`
+Suggestion: check for spelling errors or missing imports.
+Hint: a global variable of this name also exists in GeometryBasics.
julia> s2 = Sphere(Point3f(0, 0, 1), 1)ERROR: UndefVarError: `Sphere` not defined in `Main` +Suggestion: check for spelling errors or missing imports. +Hint: a global variable of this name also exists in GeometryBasics. +Hint: a global variable of this name may be made accessible by importing Makie in the current active module Main +Hint: a global variable of this name may be made accessible by importing GLMakie in the current active module Main
julia> s3 = Circle(Point2d(0), 2.0)ERROR: UndefVarError: `Circle` not defined in `Main` +Suggestion: check for spelling errors or missing imports. +Hint: a global variable of this name also exists in GeometryBasics. +Hint: a global variable of this name may be made accessible by importing Makie in the current active module Main +Hint: a global variable of this name may be made accessible by importing GLMakie in the current active module Main

Circle and Sphere support normal and texture coordinate generation as well as tesselation. The coordinates of Circle are defined in anti-clockwise order.

Cylinder

A Cylinder is a 3D shape defined by two points and a radius.

julia> c = Cylinder(Point3f(-1, 0, 0), Point3f(0, 0, 1), 0.3f0) # start point, end point, radiusERROR: UndefVarError: `Cylinder` not defined in `Main`
+Suggestion: check for spelling errors or missing imports.
+Hint: a global variable of this name also exists in GeometryBasics.

Cylinder supports normals an Tesselation, but currently no texture coordinates.

Pyramid

Pyramid corresponds to a pyramid shape with a square base and four triangles coming together into a sharp point. It is defined by by the center point of the base, its height and its width.

julia> p = Pyramid(Point3f(0), 1f0, 0.3f0) # center, height, widthERROR: UndefVarError: `Pyramid` not defined in `Main`
+Suggestion: check for spelling errors or missing imports.
+Hint: a global variable of this name also exists in GeometryBasics.

Pyramid supports normals, but currently no texture coordinates or tesselation

Tesselation

In GeometryBasics Tesselation is a wrapper type for primitives which communicates how dense the mesh generated from one should be.

julia> t = Tesselation(Cylinder(Point3f(0), Point3f(0,0,1), 0.2), 32) # 32 vertices for each circleERROR: UndefVarError: `Tesselation` not defined in `Main`
+Suggestion: check for spelling errors or missing imports.
+Hint: a global variable of this name also exists in GeometryBasics.
julia> normal_mesh(t)ERROR: UndefVarError: `normal_mesh` not defined in `Main` +Suggestion: check for spelling errors or missing imports. +Hint: a global variable of this name also exists in GeometryBasics.
julia> t = Tesselation(Rect2(Point2f(0), Vec2f(1)), (8, 6)) # 8 vertices in x direction by 6 in y directionERROR: UndefVarError: `Tesselation` not defined in `Main` +Suggestion: check for spelling errors or missing imports. +Hint: a global variable of this name also exists in GeometryBasics.
julia> triangle_mesh(t)ERROR: UndefVarError: `triangle_mesh` not defined in `Main` +Suggestion: check for spelling errors or missing imports. +Hint: a global variable of this name also exists in GeometryBasics.

Primitive Interface / Implementing a new GeometryPrimitive

Every primitive should inherit from GeometryPrimitive{Dim, eltype} and implement at least coordinates(primitive) and faces(primitive) so that a mesh can be build from it. This will also be enough to automatically generate normals for a 3D primitive and texture coordinates for a 2D primitive. You can also implement functions to generate them directly with normals(primitive) and texturecoordinates(primitive). Depending on your primitive this might be necessary to get the normals and uvs you want.

To be compatible with Tesselation all of the functions mentioned above should implement a second tesselation argument. This will be the second argument passed to the Tesselation constructor. It's up to you to decide what makes sense here, though typically it's just an integer that more or less corresponds to the number of generated vertices.

Example

As an example, let's implement a parallelepiped, i.e. a 3D version or a parallelogram. In this case we need an origin and 3 vectors telling us how far and in which directions the object extends.

struct Parallelepiped{T} <: GeometryPrimitive{3, T}
+    origin::Point{3, T}
+    v1::Vec{3, T}
+    v2::Vec{3, T}
+    v3::Vec{3, T}
+end

Like the Rect{3}, this object comes with 8 unique positions which we want to return as its coordinates.

function GeometryBasics.coordinates(primitive::Parallelepiped{T}) where {T}
+    o = primitive.origin
+    v1 = primitive.v1; v2 = primitive.v2; v3 = primitive.v3
+    return Point{3, T}[o, o+v2, o+v1+v2, o+v1,  o+v3, o+v2+v3, o+v1+v2+v3, o+v1+v3]
+end

To connect these points into a mesh, we need to generate a set of faces. The faces of a prallelepiped are parallelograms, which we can describe with QuadFace. Here we should be concious of the winding direction of faces. They are often used to determine the front vs the backside of a (2D) face. For example GeometryBasics normal generation and OpenGL's backface culling assume a counter-clockwise windig direction to correspond to a front-facing face. This means that if we look at a face from outside the shape, the positions referred to by that face should be ordered counter-clockwise. With that in mind the faces of our primitive become:

function GeometryBasics.faces(::Parallelepiped)
+    return QuadFace{Int}[
+        (1, 2, 3, 4), (5, 8, 7, 6), # facing -n3, +n3 (n3 being the normal of v1 x v2)
+        (1, 5, 6, 2), (4, 3, 7, 8), # facing -n2, +n2
+        (2, 6, 7, 3), (1, 4, 8, 5), # facing -n1, +n1
+    ]
+end

Note that you can check the correct winding direction fairly easily with Makie and the default generated normals. After implementing faces and coordinates, you can create a mesh plot of your primitive with Makie.mesh(primitive). If the mesh reacts to light in a reasonable way, i.e. gets brighter when light shines on it, then your faces have the correct winding direction. (It maybe useful to compare to other primitives like Sphere(Point3f(0), 1f0) here.)

Next on our TODO list are normals. The default normals produced by GeometryBasics.normal(primitive) are vertex normals, which assume that a primitive to be smooth. Since this is not the case for our primitive, we need to implement custom normals. Here we could rely on GeometryBasics.face_normal() which returns a normal per face, but for this example we will implement them ourselves.

For our shape we want one normal per face, pointing in the normal direction of the corresponding 2D plane. We can calculate the normal vector as n = normalize(cross(v, w)) where v and w correspond to combinations of v1, v2 and v3. To get them to act per face rather than per vertex, we need to overwrite the faces generated by faces(). We can do that by creating a FaceView with a new set of faces which only act on normals. Each of these new faces needs to refer to one normal by index to get what we want.

using LinearAlgebra
+function GeometryBasics.normals(primitive::Parallelepiped)
+    n1 = normalize(cross(primitive.v2, primitive.v3))
+    n2 = normalize(cross(primitive.v3, primitive.v1))
+    n3 = normalize(cross(primitive.v1, primitive.v2))
+    ns = [-n3, n3, -n2, n2, -n1, n1]
+    fs = QuadFace{Int}[1, 2, 3, 4, 5, 6] # = [QuadFace{Int}(1), QuadFace{Int}(2), ...]
+    return FaceView(ns, fs)
+end

As the last piece of the interface we can implement texture coordinates. They generally refer to a 2D image with normalized 2D coordinates on a per-vertex basis. There are many ways to define these coordinates. Here we will partition the image in 2x3 even sized rectangular sections, split by the sign of the normal directions defined above.

function GeometryBasics.texturecoordinates(::Parallelepiped{T}) where {T}
+    uvs = [Vec2f(x, y) for x in range(0, 1, length=4) for y in range(0, 1, 3)]
+    fs = QuadFace{Int}[
+        (1, 2, 5, 4),   (2, 3, 6, 5),
+        (4, 5, 8, 7),   (5, 6, 9, 8), 
+        (7, 8, 11, 10), (8, 9, 12, 11)
+    ]
+    return FaceView(uvs, fs)
+end
diff --git a/dev/rectangles/index.html b/dev/rectangles/index.html deleted file mode 100644 index 7891337d..00000000 --- a/dev/rectangles/index.html +++ /dev/null @@ -1,2 +0,0 @@ - -Rectangles · GeometryBasics.jl
diff --git a/dev/search_index.js b/dev/search_index.js index 0edbd34e..222e9242 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"metadata/#Metadata","page":"Metadata","title":"Metadata","text":"","category":"section"},{"location":"metadata/#Meta","page":"Metadata","title":"Meta","text":"","category":"section"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"The Meta method provides metadata handling capabilities in GeometryBasics. Similarly to remove the metadata and keep only the geometry, use metafree, and for vice versa i.e., remove the geometry and keep the metadata use meta.","category":"page"},{"location":"metadata/#Syntax","page":"Metadata","title":"Syntax","text":"","category":"section"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"meta(geometry, meta::NamedTuple)\nmeta(geometry; meta...)\n\nmetafree(meta-geometry)\nmeta(meta-geometry)","category":"page"},{"location":"metadata/#Examples","page":"Metadata","title":"Examples","text":"","category":"section"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"using GeometryBasics\np1 = Point(2.2, 3.6)\npoi = meta(p1, city=\"Abuja\", rainfall=1221.2)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"Metadata is stored in a NamedTuple and can be retrieved as such:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"meta(poi)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"Specific metadata attributes can be directly retrieved:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"poi.rainfall\nmetafree(poi)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"Metatypes are predefined for geometries:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"multipoi = MultiPointMeta([p1], city=\"Abuja\", rainfall=1221.2)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"(In the above example we have also used a geometry-specific meta method.)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"GeometryBasics.MetaType(Polygon)\nGeometryBasics.MetaType(Mesh)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"The metageometry objects are infact composed of the original geometry types.","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"GeometryBasics.MetaFree(PolygonMeta)\nGeometryBasics.MetaFree(MeshMeta)","category":"page"},{"location":"metadata/#MetaT","page":"Metadata","title":"MetaT","text":"","category":"section"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"In GeometryBasics we can have tabular layout for a collection of meta-geometries by putting them into a StructArray that extends the Tables.jl API.","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"In practice it's not necessary for the geometry or metadata types to be consistent. For example, a geojson format can have heterogeneous geometries. Hence, such cases require automatic widening of the geometry data types to the most appropriate type. The MetaT method works around the fact that, a collection of geometries and metadata of different types can be represented tabularly whilst widening to the appropriate type.","category":"page"},{"location":"metadata/#Syntax-2","page":"Metadata","title":"Syntax","text":"","category":"section"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"MetaT(geometry, meta::NamedTuple)\nMetaT(geometry; meta...)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"Returns a MetaT that holds a geometry and its metadata MetaT acts the same as Meta method. The difference lies in the fact that it is designed to handle geometries and metadata of different/heterogeneous types.","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"For example, while a Point MetaGeometry is a PointMeta, the MetaT representation is MetaT{Point}.","category":"page"},{"location":"metadata/#Examples-2","page":"Metadata","title":"Examples","text":"","category":"section"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"MetaT(Point(1, 2), city = \"Mumbai\")","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"For a tabular representation, an iterable of MetaT types can be passed on to a meta_table method.","category":"page"},{"location":"metadata/#Syntax-3","page":"Metadata","title":"Syntax","text":"","category":"section"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"meta_table(iter)","category":"page"},{"location":"metadata/#Examples-3","page":"Metadata","title":"Examples","text":"","category":"section"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"Create an array of 2 linestrings:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"ls = [LineString([Point(i, i+1), Point(i-1,i+5)]) for i in 1:2];\ncoordinates.(ls)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"Create a multi-linestring:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"mls = MultiLineString(ls);\ncoordinates.(mls)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"Create a polygon:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"poly = Polygon(Point{2, Int}[(40, 40), (20, 45), (45, 30), (40, 40)]);\ncoordinates(poly)","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"Put all geometries into an array:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"geom = [ls..., mls, poly];","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"Generate some random metadata:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"prop = [(country_states = \"India$(i)\", rainfall = (i*9)/2) for i in 1:4]\nfeat = [MetaT(i, j) for (i,j) = zip(geom, prop)]; # create an array of MetaT","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"We can now generate a StructArray / Table with meta_table:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"sa = meta_table(feat);","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"The data can be accessed through sa.main and the metadata through sa.country_states and sa.rainfall. Here we print only the type names of the data items for brevity:","category":"page"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"[nameof.(typeof.(sa.main)) sa.country_states sa.rainfall]","category":"page"},{"location":"metadata/#Disadvantages","page":"Metadata","title":"Disadvantages","text":"","category":"section"},{"location":"metadata/","page":"Metadata","title":"Metadata","text":"The MetaT is pretty generic in terms of geometry types, it's not subtype to geometries. eg : A MetaT{Point, NamedTuple{Names, Types}} is not subtyped to AbstractPoint like a PointMeta is.\nThis might cause problems on using MetaT with other constructors/methods inside or even outside GeometryBasics methods designed to work with the main Meta types.","category":"page"},{"location":"api/#API-Reference","page":"API Reference","title":"API Reference","text":"","category":"section"},{"location":"api/#Exports","page":"API Reference","title":"Exports","text":"","category":"section"},{"location":"api/","page":"API Reference","title":"API Reference","text":"Modules = [GeometryBasics]\nOrder = [:module, :constant, :type, :function, :macro]\nPublic = true\nPrivate = false","category":"page"},{"location":"api/#GeometryBasics.AbstractGeometry","page":"API Reference","title":"GeometryBasics.AbstractGeometry","text":"Abstract Geometry in R{Dim} with Number type T\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.AbstractMesh","page":"API Reference","title":"GeometryBasics.AbstractMesh","text":"AbstractMesh\n\nAn abstract mesh is a collection of Polytope elements (Simplices / Ngons). The connections are defined via faces(mesh), the coordinates of the elements are returned by coordinates(mesh). Arbitrary meta information can be attached per point or per face\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Circle","page":"API Reference","title":"GeometryBasics.Circle","text":"Circle{T}\n\nAn alias for a HyperSphere of dimension 2. (i.e. HyperSphere{2, T})\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Cylinder","page":"API Reference","title":"GeometryBasics.Cylinder","text":"Cylinder{N, T}\n\nA Cylinder is a 2D rectangle or a 3D cylinder defined by its origin point, its extremity and a radius. origin, extremity and r, must be specified.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Cylinder2","page":"API Reference","title":"GeometryBasics.Cylinder2","text":"Cylinder2{T}\nCylinder3{T}\n\nA Cylinder2 or Cylinder3 is a 2D/3D cylinder defined by its origin point, its extremity and a radius. origin, extremity and r, must be specified.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.FaceView","page":"API Reference","title":"GeometryBasics.FaceView","text":"FaceView{Element, Point, Face, P, F}\n\nFaceView enables to link one array of points via a face array, to generate one abstract array of elements. E.g., this becomes possible:\n\nx = FaceView(rand(Point3f, 10), TriangleFace[(1, 2, 3), (2, 4, 5), ...])\nx[1] isa Triangle == true\nx isa AbstractVector{<: Triangle} == true\n# This means we can use it as a mesh:\nMesh(x) # should just work!\n# Can also be used for Points:\n\nlinestring = FaceView(points, LineFace[...])\nPolygon(linestring)\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.HyperRectangle","page":"API Reference","title":"GeometryBasics.HyperRectangle","text":"HyperRectangle{N, T}\n\nA HyperRectangle is a generalization of a rectangle into N-dimensions. Formally it is the cartesian product of intervals, which is represented by the origin and widths fields, whose indices correspond to each of the N axes.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.HyperSphere","page":"API Reference","title":"GeometryBasics.HyperSphere","text":"HyperSphere{N, T}\n\nA HyperSphere is a generalization of a sphere into N-dimensions. A center and radius, r, must be specified.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.LineString","page":"API Reference","title":"GeometryBasics.LineString","text":"LineString(points::AbstractVector{<: AbstractPoint}, skip = 1)\n\nCreates a LineString from a vector of points. With skip == 1, the default, it will connect the line like this:\n\npoints = Point[a, b, c, d]\nlinestring = LineString(points)\n@assert linestring == LineString([a => b, b => c, c => d])\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.LineString-2","page":"API Reference","title":"GeometryBasics.LineString","text":"LineString(points::AbstractVector{<: AbstractPoint}, indices::AbstractVector{<: Integer}, skip = 1)\n\nCreates a LineString from a vector of points and an index list. With skip == 1, the default, it will connect the line like this:\n\npoints = Point[a, b, c, d]; faces = [1, 2, 3, 4]\nlinestring = LineString(points, faces)\n@assert linestring == LineString([a => b, b => c, c => d])\n\nTo make a segmented line, set skip to 2\n\npoints = Point[a, b, c, d]; faces = [1, 2, 3, 4]\nlinestring = LineString(points, faces, 2)\n@assert linestring == LineString([a => b, c => d])\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.LineString-3","page":"API Reference","title":"GeometryBasics.LineString","text":"LineString(points::AbstractVector{<:AbstractPoint})\n\nA LineString is a geometry of connected line segments\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Mesh","page":"API Reference","title":"GeometryBasics.Mesh","text":"Mesh <: AbstractVector{Element}\n\nThe concrete AbstractMesh implementation.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.MetaT","page":"API Reference","title":"GeometryBasics.MetaT","text":"MetaT(geometry, meta::NamedTuple)\nMetaT(geometry; meta...)\n\nReturns a MetaT that holds a geometry and its metadata\n\nMetaT acts the same as Meta method. The difference lies in the fact that it is designed to handle geometries and metadata of different/heterogeneous types.\n\neg: While a Point MetaGeometry is a PointMeta, the MetaT representation is MetaT{Point} The downside being it's not subtyped to AbstractPoint like a PointMeta is.\n\nExample:\n\njulia> MetaT(Point(1, 2), city = \"Mumbai\")\nMetaT{Point{2,Int64},(:city,),Tuple{String}}([1, 2], (city = \"Mumbai\",))\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.MultiPoint","page":"API Reference","title":"GeometryBasics.MultiPoint","text":"MultiPoint(points::AbstractVector{AbstractPoint})\n\nA collection of points\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.MultiPolygon","page":"API Reference","title":"GeometryBasics.MultiPolygon","text":"MultiPolygon(polygons::AbstractPolygon)\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.NormalMesh","page":"API Reference","title":"GeometryBasics.NormalMesh","text":"NormalMesh{Dim, T}\n\nPlainMesh with normals meta at each point. normalmesh.normals isa AbstractVector{Vec3f}\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.NormalUVMesh","page":"API Reference","title":"GeometryBasics.NormalUVMesh","text":"NormalUVMesh{Dim, T}\n\nPlainMesh with normals and uv meta at each point. normalmesh.normals isa AbstractVector{Vec3f} normalmesh.uv isa AbstractVector{Vec2f}\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.NormalUVWMesh","page":"API Reference","title":"GeometryBasics.NormalUVWMesh","text":"NormalUVWMesh{Dim, T}\n\nPlainMesh with normals and uvw (texture coordinates in 3D) meta at each point. normalmesh.normals isa AbstractVector{Vec3f} normalmesh.uvw isa AbstractVector{Vec3f}\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.OffsetInteger","page":"API Reference","title":"GeometryBasics.OffsetInteger","text":"OffsetInteger{O, T}\n\nOffsetInteger type mainly for indexing.\n\nO - The offset relative to Julia arrays. This helps reduce copying when\n\ncommunicating with 0-indexed systems such as OpenGL.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.PlainMesh","page":"API Reference","title":"GeometryBasics.PlainMesh","text":"PlainMesh{Dim, T}\n\nTriangle mesh with no meta information (just points + triangle faces)\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Polygon","page":"API Reference","title":"GeometryBasics.Polygon","text":"Polygon(exterior::AbstractVector{<:Point})\nPolygon(exterior::AbstractVector{<:Point}, interiors::Vector{<:AbstractVector{<:AbstractPoint}})\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Polytope","page":"API Reference","title":"GeometryBasics.Polytope","text":"Geometry made of N connected points. Connected as one flat geometry, it makes a Ngon / Polygon. Connected as volume it will be a Simplex / Tri / Cube. Note That Polytope{N} where N == 3 denotes a Triangle both as a Simplex or Ngon.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Polytope-Union{Tuple{IT}, Tuple{T}, Tuple{Dim}, Tuple{N}, Tuple{Type{<:AbstractPoint{Dim, T}}, Type{<:GeometryBasics.AbstractNgonFace{N, IT}}}} where {N, Dim, T, IT}","page":"API Reference","title":"GeometryBasics.Polytope","text":"The Ngon Polytope element type when indexing an array of points with a SimplexFace\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Polytope-Union{Tuple{T}, Tuple{Dim}, Tuple{N}, Tuple{Type{<:AbstractPoint{Dim, T}}, Type{<:GeometryBasics.AbstractSimplexFace{N}}}} where {N, Dim, T}","page":"API Reference","title":"GeometryBasics.Polytope","text":"The Simplex Polytope element type when indexing an array of points with a SimplexFace\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Polytope-Union{Tuple{T}, Tuple{NDim}, Tuple{N}, Tuple{Type{<:GeometryBasics.Ngon{Dim, T, N, P} where {Dim, T, P}}, Type{<:AbstractPoint{NDim, T}}}} where {N, NDim, T}","page":"API Reference","title":"GeometryBasics.Polytope","text":"The fully concrete Ngon type, when constructed from a point type!\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Polytope-Union{Tuple{T}, Tuple{NDim}, Tuple{N}, Tuple{Type{<:NSimplex{N}}, Type{<:AbstractPoint{NDim, T}}}} where {N, NDim, T}","page":"API Reference","title":"GeometryBasics.Polytope","text":"The fully concrete Simplex type, when constructed from a point type!\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Rect","page":"API Reference","title":"GeometryBasics.Rect","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect-Tuple{Vararg{Number}}","page":"API Reference","title":"GeometryBasics.Rect","text":"Rect(vals::Number...)\n\nRect(vals::Number...)\n\nRect constructor for individually specified intervals. e.g. Rect(0,0,1,2) has origin == Vec(0,0) and width == Vec(1,2)\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Rect-Union{Tuple{AbstractArray{PT}}, Tuple{PT}, Tuple{T1}, Tuple{N1}} where {N1, T1, PT<:AbstractPoint}","page":"API Reference","title":"GeometryBasics.Rect","text":"Construct a HyperRectangle enclosing all points.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Rect2","page":"API Reference","title":"GeometryBasics.Rect2","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect2d","page":"API Reference","title":"GeometryBasics.Rect2d","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect2f","page":"API Reference","title":"GeometryBasics.Rect2f","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect2i","page":"API Reference","title":"GeometryBasics.Rect2i","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect3","page":"API Reference","title":"GeometryBasics.Rect3","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect3d","page":"API Reference","title":"GeometryBasics.Rect3d","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect3f","page":"API Reference","title":"GeometryBasics.Rect3f","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect3i","page":"API Reference","title":"GeometryBasics.Rect3i","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rectd","page":"API Reference","title":"GeometryBasics.Rectd","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rectf","page":"API Reference","title":"GeometryBasics.Rectf","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Recti","page":"API Reference","title":"GeometryBasics.Recti","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Simplex","page":"API Reference","title":"GeometryBasics.Simplex","text":"A Simplex is a generalization of an N-dimensional tetrahedra and can be thought of as a minimal convex set containing the specified points.\n\nA 0-simplex is a point.\nA 1-simplex is a line segment.\nA 2-simplex is a triangle.\nA 3-simplex is a tetrahedron.\n\nNote that this datatype is offset by one compared to the traditional mathematical terminology. So a one-simplex is represented as Simplex{2,T}. This is for a simpler implementation.\n\nIt applies to infinite dimensions. The structure of this type is designed to allow embedding in higher-order spaces by parameterizing on T.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Sphere","page":"API Reference","title":"GeometryBasics.Sphere","text":"Sphere{T}\n\nAn alias for a HyperSphere of dimension 3. (i.e. HyperSphere{3, T})\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Tesselation","page":"API Reference","title":"GeometryBasics.Tesselation","text":"Tesselation(primitive, nvertices)\n\nFor abstract geometries, when we generate a mesh from them, we need to decide how fine grained we want to mesh them. To transport this information to the various decompose methods, you can wrap it in the Tesselation object e.g. like this:\n\nsphere = Sphere(Point3f(0), 1)\nm1 = mesh(sphere) # uses a default value for tesselation\nm2 = mesh(Tesselation(sphere, 64)) # uses 64 for tesselation\nlength(coordinates(m1)) != length(coordinates(m2))\n\nFor grid based tesselation, you can also use a tuple: ```julia rect = Rect2(0, 0, 1, 1) Tesselation(rect, (5, 5))\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.TriangleMesh","page":"API Reference","title":"GeometryBasics.TriangleMesh","text":"TriangleMesh{Dim, T, PointType}\n\nAbstract Mesh with triangle elements of eltype T.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.TupleView","page":"API Reference","title":"GeometryBasics.TupleView","text":"TupleView{T, N, Skip, A}\n\nTupleView, groups elements of an array as tuples. N is the dimension of the tuple, M tells how many elements to skip to the next tuple. By default TupleView{N} defaults to skip N items.\n\na few examples:\n\n\nx = [1, 2, 3, 4, 5, 6]\nTupleView{2, 1}(x):\n> [(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)]\n\nTupleView{2}(x):\n> [(1, 2), (3, 4), (5, 6)]\n\nTupleView{2, 3}(x):\n> [(1, 2), (4, 5)]\n\nTupleView{3, 1}(x):\n> [(1, 2, 3), (2, 3, 4), (3, 4, 5), (4, 5, 6)]\n\nTupleView can be used together with reinterpret:\n\nx = [1, 2, 3, 4]\ny = reinterpret(Point{2, Int}, TupleView{2, 1}(x))\n> [Point(1, 2), Point(2, 3), Point(3, 4)]\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.UVMesh","page":"API Reference","title":"GeometryBasics.UVMesh","text":"UVMesh{Dim, T}\n\nPlainMesh with texture coordinates meta at each point. uvmesh.uv isa AbstractVector{Vec2f}\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.area-Union{Tuple{AbstractVector{<:AbstractPoint{2, T}}}, Tuple{T}} where T","page":"API Reference","title":"GeometryBasics.area","text":"area(contour::AbstractVector{AbstractPoint}})\n\nCalculate the area of a polygon.\n\nFor 2D points, the oriented area is returned (negative when the points are oriented clockwise).\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.area-Union{Tuple{FT}, Tuple{VT}, Tuple{AbstractVector{<:AbstractPoint{3, VT}}, AbstractArray{TriangleFace{FT}, 1}}} where {VT, FT}","page":"API Reference","title":"GeometryBasics.area","text":"area(vertices::AbstractVector{AbstractPoint{3}}, faces::AbstractVector{TriangleFace})\n\nCalculate the area of all triangles.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.area-Union{Tuple{FT}, Tuple{VT}, Tuple{AbstractVector{<:AbstractPoint{3, VT}}, TriangleFace{FT}}} where {VT, FT}","page":"API Reference","title":"GeometryBasics.area","text":"area(vertices::AbstractVector{AbstractPoint{3}}, face::TriangleFace)\n\nCalculate the area of one triangle.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.connect-Union{Tuple{Point}, Tuple{AbstractVector{Point}, Type{<:Polytope}}, Tuple{AbstractVector{Point}, Type{<:Polytope}, Int64}} where Point<:AbstractPoint","page":"API Reference","title":"GeometryBasics.connect","text":"connect(points::AbstractVector{<: AbstractPoint}, P::Type{<: Polytope{N}}, skip::Int = N)\n\nCreates a view that connects a number of points to a Polytope P. Between each polytope, skip elements are skipped untill the next starts. Example: ```julia x = connect(Point[(1, 2), (3, 4), (5, 6), (7, 8)], Line, 2) x == [Line(Point(1, 2), Point(3, 4)), Line(Point(5, 6), Point(7, 8))]\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.convert_simplex-Union{Tuple{N}, Tuple{T}, Tuple{Type{LineFace{T}}, Union{NgonFace{N}, SimplexFace{N}}}} where {T, N}","page":"API Reference","title":"GeometryBasics.convert_simplex","text":"convert_simplex(::Type{Face{2}}, f::Face{N})\n\nExtract all line segments in a Face.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.convert_simplex-Union{Tuple{N}, Tuple{T}, Tuple{Type{TriangleFace{T}}, Union{NgonFace{N}, SimplexFace{N}}}} where {T, N}","page":"API Reference","title":"GeometryBasics.convert_simplex","text":"convert_simplex(::Type{Face{3}}, f::Face{N})\n\nTriangulate an N-Face into a tuple of triangular faces.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.coordinates-Tuple{AbstractVector{<:AbstractPoint}}","page":"API Reference","title":"GeometryBasics.coordinates","text":"coordinates(geometry)\n\nReturns the edges/vertices/coordinates of a geometry. Is allowed to return lazy iterators! Use decompose(ConcretePointType, geometry) to get Vector{ConcretePointType} with ConcretePointType to be something like Point{3, Float32}.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.decompose-Union{Tuple{FaceType}, Tuple{P}, Tuple{Type{FaceType}, AbstractArray{P}}} where {P<:AbstractPoint, FaceType<:AbstractFace}","page":"API Reference","title":"GeometryBasics.decompose","text":"decompose(facetype, contour::AbstractArray{<:AbstractPoint})\n\nTriangulate a Polygon without hole.\n\nReturns a Vector{facetype} defining indexes into contour.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.faces-Tuple{AbstractVector{<:AbstractFace}}","page":"API Reference","title":"GeometryBasics.faces","text":"faces(geometry)\n\nReturns the face connections of a geometry. Is allowed to return lazy iterators! Use decompose(ConcreteFaceType, geometry) to get Vector{ConcreteFaceType} with ConcreteFaceType to be something like TriangleFace{Int}.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.meta-Tuple{MetaT}","page":"API Reference","title":"GeometryBasics.meta","text":"meta(x::MetaT)\nmeta(x::Array{MetaT})\n\nReturns the metadata of a MetaT\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.meta-Tuple{T} where T","page":"API Reference","title":"GeometryBasics.meta","text":"meta(x::MetaObject)\n\nReturns the metadata of x\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.meta_table-Tuple{Any}","page":"API Reference","title":"GeometryBasics.meta_table","text":"Puts an iterable of MetaT's into a StructArray \n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.metafree-Tuple{MetaT}","page":"API Reference","title":"GeometryBasics.metafree","text":"metafree(x::MetaT)\nmetafree(x::Array{MetaT})\n\nFree the MetaT from metadata i.e. returns the geometry/array of geometries\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.normals-Union{Tuple{F}, Tuple{T}, Tuple{AbstractVector{<:AbstractPoint{3, T}}, AbstractVector{F}}} where {T, F<:NgonFace}","page":"API Reference","title":"GeometryBasics.normals","text":"normals{VT,FD,FT,FO}(vertices::Vector{Point{3, VT}},\n faces::Vector{Face{FD,FT,FO}},\n NT = Normal{3, VT})\n\nCompute all vertex normals.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.pointmeta-Tuple{Mesh}","page":"API Reference","title":"GeometryBasics.pointmeta","text":"pointmeta(mesh::Mesh; meta_data...)\n\nAttaches metadata to the coordinates of a mesh\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.self_intersections-Tuple{AbstractVector{<:AbstractPoint}}","page":"API Reference","title":"GeometryBasics.self_intersections","text":"self_intersections(points::AbstractVector{AbstractPoint})\n\nFinds all self intersections of polygon points\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.split_intersections-Tuple{AbstractVector{<:AbstractPoint}}","page":"API Reference","title":"GeometryBasics.split_intersections","text":"split_intersections(points::AbstractVector{AbstractPoint})\n\nSplits polygon points into it's self intersecting parts. Only 1 intersection is handled right now.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.volume-Tuple{Mesh}","page":"API Reference","title":"GeometryBasics.volume","text":"volume(mesh)\n\nCalculate the signed volume of all tetrahedra. Be sure the orientation of your surface is right.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.volume-Tuple{Triangle}","page":"API Reference","title":"GeometryBasics.volume","text":"volume(triangle)\n\nCalculate the signed volume of one tetrahedron. Be sure the orientation of your surface is right.\n\n\n\n\n\n","category":"method"},{"location":"api/#Private","page":"API Reference","title":"Private","text":"","category":"section"},{"location":"api/","page":"API Reference","title":"API Reference","text":"Modules = [GeometryBasics]\nOrder = [:module, :constant, :type, :function, :macro]\nPublic = false\nPrivate = true","category":"page"},{"location":"api/#GeometryBasics.Ngon","page":"API Reference","title":"GeometryBasics.Ngon","text":"Fixed Size Polygon, e.g.\n\nN 1-2 : Illegal!\nN = 3 : Triangle\nN = 4 : Quadrilateral (or Quad, Or tetragon)\nN = 5 : Pentagon\n...\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.RectT","page":"API Reference","title":"GeometryBasics.RectT","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#Base.:*-Union{Tuple{T2}, Tuple{T1}, Tuple{N2}, Tuple{N1}, Tuple{StaticArraysCore.SMatrix{N1, N1, T1}, HyperRectangle{N2, T2}}} where {N1, N2, T1, T2}","page":"API Reference","title":"Base.:*","text":"*(m::Mat, h::Rect)\n\nTransform a Rect using a matrix. Maintains axis-align properties so a significantly larger Rect may be generated.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.in-Union{Tuple{N}, Tuple{HyperRectangle{N}, HyperRectangle{N}}} where N","page":"API Reference","title":"Base.in","text":"in(b1::Rect, b2::Rect)\n\nCheck if Rect b1 is contained in b2. This does not use strict inequality, so Rects may share faces and this will still return true.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.in-Union{Tuple{N}, Tuple{T}, Tuple{Union{Tuple{Vararg{T, N}}, StaticArraysCore.StaticArray{Tuple{N}, T, 1}} where {N, T}, HyperRectangle{N, T}}} where {T, N}","page":"API Reference","title":"Base.in","text":"in(pt::VecTypes, b1::Rect{N, T})\n\nCheck if a point is contained in a Rect. This will return true if the point is on a face of the Rect.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.in-Union{Tuple{T}, Tuple{T, Triangle}} where T<:AbstractPoint","page":"API Reference","title":"Base.in","text":"in(point, triangle)\n\nDetermine if a point is inside of a triangle.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.isempty-Union{Tuple{HyperRectangle{N, T}}, Tuple{T}, Tuple{N}} where {N, T}","page":"API Reference","title":"Base.isempty","text":"isempty(h::Rect)\n\nReturn true if any of the widths of h are negative.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.union-Union{Tuple{N}, Tuple{HyperRectangle{N}, HyperRectangle{N}}} where N","page":"API Reference","title":"Base.union","text":"Perform a union between two Rects.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.MetaFree-Union{Tuple{Type{T}}, Tuple{T}} where T","page":"API Reference","title":"GeometryBasics.MetaFree","text":"MetaFree(::Type{T})\n\nReturns the original type containing no metadata for T E.g:\n\nMetaFree(PointMeta) == Point\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.MetaType-Union{Tuple{Type{T}}, Tuple{T}} where T","page":"API Reference","title":"GeometryBasics.MetaType","text":"MetaType(::Type{T})\n\nReturns the Meta Type corresponding to T E.g:\n\nMetaType(Point) == PointMeta\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.attributes-Tuple{Any}","page":"API Reference","title":"GeometryBasics.attributes","text":"attributes(hasmeta)\n\nReturns all attributes of meta as a Dict{Symbol, Any}. Needs to be overloaded, and returns empty dict for non overloaded types! Gets overloaded by default for all Meta types.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.diff-Tuple{HyperRectangle, HyperRectangle}","page":"API Reference","title":"GeometryBasics.diff","text":"diff(h1::Rect, h2::Rect)\n\nPerform a difference between two Rects.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.facemeta-Tuple{Mesh}","page":"API Reference","title":"GeometryBasics.facemeta","text":"facemeta(mesh::Mesh; meta_data...)\n\nAttaches metadata to the faces of a mesh\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.getcolumns-Tuple{Any, Vararg{Symbol}}","page":"API Reference","title":"GeometryBasics.getcolumns","text":"getcolumns(t, colnames::Symbol...)\n\nGets a column from any Array like (Table/AbstractArray). For AbstractVectors, a column will be the field names of the element type.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.intersect-Union{Tuple{N}, Tuple{HyperRectangle{N}, HyperRectangle{N}}} where N","page":"API Reference","title":"GeometryBasics.intersect","text":"intersect(h1::Rect, h2::Rect)\n\nPerform a intersection between two Rects.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.mesh-Tuple{Union{AbstractPolygon{Dim, T}, GeometryPrimitive{Dim, T}, AbstractVector{<:AbstractPoint{Dim, T}}, Mesh{Dim, T, Element, V} where {Element<:Polytope{Dim, T}, V<:AbstractVector{Element}}, Tesselation{Dim, T}} where {Dim, T}}","page":"API Reference","title":"GeometryBasics.mesh","text":"mesh(primitive::GeometryPrimitive;\n pointtype=Point, facetype=GLTriangle,\n uv=nothing, normaltype=nothing)\n\nCreates a mesh from primitive.\n\nUses the element types from the keyword arguments to create the attributes. The attributes that have their type set to nothing are not added to the mesh. Note, that this can be an Int or Tuple{Int, Int}`, when the primitive is grid based. It also only losely correlates to the number of vertices, depending on the algorithm used. #TODO: find a better number here!\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.mesh-Union{Tuple{AbstractVector{P}}, Tuple{P}} where P<:(AbstractPoint{2})","page":"API Reference","title":"GeometryBasics.mesh","text":"mesh(polygon::AbstractVector{P}; pointtype=P, facetype=GLTriangleFace,\n normaltype=nothing)\n\nCreate a mesh from a polygon given as a vector of points, using triangulation.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.orthogonal_vector-Tuple{Any, Any, Any}","page":"API Reference","title":"GeometryBasics.orthogonal_vector","text":"The unnormalized normal of three vertices.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.pop_pointmeta-Tuple{Mesh, Symbol}","page":"API Reference","title":"GeometryBasics.pop_pointmeta","text":"pop_pointmeta(mesh::Mesh, property::Symbol)\n\nRemove property from point metadata. Returns the new mesh, and the property!\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.split-Tuple{HyperRectangle, Any, Integer}","page":"API Reference","title":"GeometryBasics.split","text":"split(rectangle, axis, value)\n\nSplits an Rect into two along an axis at a given location.\n\n\n\n\n\n","category":"method"},{"location":"polygons/#Polygons","page":"Polygons","title":"Polygons","text":"","category":"section"},{"location":"primitives/#Primitives","page":"Primitives","title":"Primitives","text":"","category":"section"},{"location":"primitives/#Points-and-Vectors","page":"Primitives","title":"Points and Vectors","text":"","category":"section"},{"location":"primitives/#Simplices","page":"Primitives","title":"Simplices","text":"","category":"section"},{"location":"primitives/#Shapes","page":"Primitives","title":"Shapes","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Circle\nSphere\nCylinder","category":"page"},{"location":"primitives/#Abstract-types","page":"Primitives","title":"Abstract types","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"GeometryPrimitive\nAbstractSimplex\nAbstractMesh","category":"page"},{"location":"decomposition/#Decomposition","page":"Decomposition","title":"Decomposition","text":"","category":"section"},{"location":"decomposition/#GeometryBasics-Mesh-interface","page":"Decomposition","title":"GeometryBasics Mesh interface","text":"","category":"section"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"GeometryBasics defines an interface to decompose abstract geometries into points and triangle meshes. This can be done for any arbitrary primitive, by overloading the following interface:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"\nfunction GeometryBasics.coordinates(rect::Rect2, nvertices=(2,2))\n mini, maxi = extrema(rect)\n xrange, yrange = LinRange.(mini, maxi, nvertices)\n return ivec(((x,y) for x in xrange, y in yrange))\nend\n\nfunction GeometryBasics.faces(rect::Rect2, nvertices=(2, 2))\n w, h = nvertices\n idx = LinearIndices(nvertices)\n quad(i, j) = QuadFace{Int}(idx[i, j], idx[i+1, j], idx[i+1, j+1], idx[i, j+1])\n return ivec((quad(i, j) for i=1:(w-1), j=1:(h-1)))\nend","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"Those methods, for performance reasons, expect you to return an iterator, to make materializing them with different element types allocation free. But of course, can also return any AbstractArray.","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"With these methods defined, this constructor will magically work:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"rect = Rect2(0.0, 0.0, 1.0, 1.0)\nm = GeometryBasics.mesh(rect)","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"If you want to set the nvertices argument, you need to wrap your primitive in a Tesselation object:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"m = GeometryBasics.mesh(Tesselation(rect, (50, 50)))\nlength(coordinates(m)) == 50^2","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"As you can see, coordinates and faces are also defined on a mesh","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"coordinates(m)\nfaces(m)","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"But will actually not be an iterator anymore. Instead, the mesh constructor uses the decompose function, that will collect the result of coordinates and will convert it to a concrete element type:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"decompose(Point2f, rect) == convert(Vector{Point2f}, collect(coordinates(rect)))","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"The element conversion is handled by simplex_convert, which also handles convert between different face types:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"decompose(QuadFace{Int}, rect) == convert(Vector{QuadFace{Int}}, collect(faces(rect)))\nlength(decompose(QuadFace{Int}, rect)) == 1\nfs = decompose(GLTriangleFace, rect)\nfs isa Vector{GLTriangleFace}\nlength(fs) == 2 # 2 triangles make up one quad ;)","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"mesh uses the most natural element type by default, which you can get with the unqualified Point type:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"decompose(Point, rect) isa Vector{Point{2, Float64}}","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"You can also pass the element type to mesh:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"m = GeometryBasics.mesh(rect, pointtype=Point2f, facetype=QuadFace{Int})","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"You can also set the uv and normal type for the mesh constructor, which will then calculate them for you, with the requested element type:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"m = GeometryBasics.mesh(rect, uv=Vec2f, normaltype=Vec3f)","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"As you can see, the normals are automatically calculated, the same is true for texture coordinates. You can overload this behavior by overloading normals or texturecoordinates the same way as coordinates. decompose works a bit different for normals/texturecoordinates, since they dont have their own element type. Instead, you can use decompose like this:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"decompose(UV(Vec2f), rect)\ndecompose(Normal(Vec3f), rect)\n# the short form for the above:\ndecompose_uv(rect)\ndecompose_normals(rect)","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"You can also use triangle_mesh, normal_mesh and uv_normal_mesh to call the mesh constructor with predefined element types (Point2/3f, Vec2/3f), and the requested attributes.","category":"page"},{"location":"rectangles/#Rectangles","page":"Rectangles","title":"Rectangles","text":"","category":"section"},{"location":"#GeometryBasics.jl","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"","category":"section"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Basic geometry types.","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"This package aims to offer a standard set of geometry types that easily work with metadata, query frameworks on geometries and different memory layouts. The aim is to create a solid basis for graphics/plotting, finite element analysis, geo applications, and general geometry manipulations - while offering a Julian API that still allows performant C-interop.","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"This package is a replacement for the discontinued GeometryTypes.","category":"page"},{"location":"#Quick-start","page":"GeometryBasics.jl","title":"Quick start","text":"","category":"section"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Create some points:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"using GeometryBasics\n\np1 = Point(3, 1)\np2 = Point(1, 3);\np3 = Point(4, 4);","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Geometries can carry metadata:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"poi = meta(p1, city=\"Abuja\", rainfall=1221.2)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Metadata is stored in a NamedTuple and can be retrieved as such:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"meta(poi)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Specific metadata attributes can be directly retrieved:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"poi.rainfall","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"To remove the metadata and keep only the geometry, use metafree:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"metafree(poi)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Geometries have predefined metatypes:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"multipoi = MultiPointMeta([p1], city=\"Abuja\", rainfall=1221.2)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Connect the points with lines:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"l1 = Line(p1, p2)\nl2 = Line(p2, p3);","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Connect the lines in a linestring:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"LineString([l1, l2])","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Linestrings can also be constructed directly from points:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"LineString([p1, p2, p3])","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"The same goes for polygons:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Polygon(Point{2, Int}[(3, 1), (4, 4), (2, 4), (1, 2), (3, 1)])","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Create a rectangle placed at the origin with unit width and height:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"rect = Rect(Vec(0.0, 0.0), Vec(1.0, 1.0))","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Decompose the rectangle into two triangular faces:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"rect_faces = decompose(TriangleFace{Int}, rect)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Decompose the rectangle into four vertices:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"rect_vertices = decompose(Point{2, Float64}, rect)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Combine the vertices and faces into a triangle mesh:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"mesh = Mesh(rect_vertices, rect_faces)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Use GeometryBasics.mesh to get a mesh directly from a geometry:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"mesh = GeometryBasics.mesh(rect)","category":"page"},{"location":"#Aliases","page":"GeometryBasics.jl","title":"Aliases","text":"","category":"section"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"GeometryBasics exports common aliases for Point, Vec, Mat and Rect:","category":"page"},{"location":"#Vec","page":"GeometryBasics.jl","title":"Vec","text":"","category":"section"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":" T(eltype) Float64 Float32 Int UInt\nN(dim) Vec{N,T} Vecd{N} Vecf{N} Veci{N} Vecui{N}\n2 Vec2{T} Vec2d Vec2f Vec2i Vec2ui\n3 Vec3{T} Vec3d Vec3f Vec3i Vec3ui","category":"page"},{"location":"#Point","page":"GeometryBasics.jl","title":"Point","text":"","category":"section"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":" T(eltype) Float64 Float32 Int UInt\nN(dim) Point{N,T} Pointd{N} Pointf{N} Pointi{N} Pointui{N}\n2 Point2{T} Point2d Point2f Point2i Point2ui\n3 Point3{T} Point3d Point3f Point3i Point3ui","category":"page"},{"location":"#Mat","page":"GeometryBasics.jl","title":"Mat","text":"","category":"section"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":" T(eltype) Float64 Float32 Int UInt\nN(dim) Mat{N,T} Matd{N} Matf{N} Mati{N} Matui{N}\n2 Mat2{T} Mat2d Mat2f Mat2i Mat2ui\n3 Mat3{T} Mat3d Mat3f Mat3i Mat3ui","category":"page"},{"location":"#Rect","page":"GeometryBasics.jl","title":"Rect","text":"","category":"section"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":" T(eltype) Float64 Float32 Int UInt\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N} Rectui{N}\n2 Rect2{T} Rect2d Rect2f Rect2i Rect2ui\n3 Rect3{T} Rect3d Rect3f Rect3i Rect3ui","category":"page"},{"location":"implementation/#Implementation","page":"Implementation","title":"Implementation","text":"","category":"section"},{"location":"implementation/","page":"Implementation","title":"Implementation","text":"In the backend, GeometryTypes relies on fixed-size arrays, specifically static vectors.","category":"page"},{"location":"implementation/","page":"Implementation","title":"Implementation","text":"TODO add more here.","category":"page"},{"location":"meshes/#Meshes","page":"Meshes","title":"Meshes","text":"","category":"section"},{"location":"meshes/#Types","page":"Meshes","title":"Types","text":"","category":"section"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"AbstractMesh\nMesh","category":"page"},{"location":"meshes/#How-to-create-a-mesh","page":"Meshes","title":"How to create a mesh","text":"","category":"section"},{"location":"meshes/#Meshing.jl","page":"Meshes","title":"Meshing.jl","text":"","category":"section"},{"location":"meshes/#MeshIO.jl","page":"Meshes","title":"MeshIO.jl","text":"","category":"section"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"The MeshIO.jl package provides load/save support for several file formats which store meshes.","category":"page"},{"location":"meshes/#How-to-access-data","page":"Meshes","title":"How to access data","text":"","category":"section"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"The following functions can be called on an AbstractMesh to access its underlying data.","category":"page"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"faces\ncoordinates\ntexturecoordinates\nnormals","category":"page"}] +[{"location":"static_array_types/#Point,-Vec-and-Mat","page":"Point, Vec and Mat","title":"Point, Vec and Mat","text":"","category":"section"},{"location":"static_array_types/","page":"Point, Vec and Mat","title":"Point, Vec and Mat","text":"GeometryBasics defines its own set of (small) Static Vectors and Matrices:","category":"page"},{"location":"static_array_types/","page":"Point, Vec and Mat","title":"Point, Vec and Mat","text":"Point{N,T} <: StaticVector{N,T} <: AbstractVector{T}\nVec{N,T} <: StaticVector{N,T} <: AbstractVector{T}\nMat{Row, Column, T, L} <: AbstractMatrix{T}","category":"page"},{"location":"static_array_types/","page":"Point, Vec and Mat","title":"Point, Vec and Mat","text":"These types are used throughout GeometryBasics to speed up calculations similar to how StaticArrays.jl does.","category":"page"},{"location":"static_array_types/#Aliases","page":"Point, Vec and Mat","title":"Aliases","text":"","category":"section"},{"location":"static_array_types/","page":"Point, Vec and Mat","title":"Point, Vec and Mat","text":"GeometryBasics exports common aliases for Point, Vec, Mat and Rect:","category":"page"},{"location":"static_array_types/#Vec","page":"Point, Vec and Mat","title":"Vec","text":"","category":"section"},{"location":"static_array_types/","page":"Point, Vec and Mat","title":"Point, Vec and Mat","text":" T(eltype) Float64 Float32 Int UInt\nN(dim) Vec{N,T} Vecd{N} Vecf{N} Veci{N} Vecui{N}\n2 Vec2{T} Vec2d Vec2f Vec2i Vec2ui\n3 Vec3{T} Vec3d Vec3f Vec3i Vec3ui","category":"page"},{"location":"static_array_types/#Point","page":"Point, Vec and Mat","title":"Point","text":"","category":"section"},{"location":"static_array_types/","page":"Point, Vec and Mat","title":"Point, Vec and Mat","text":" T(eltype) Float64 Float32 Int UInt\nN(dim) Point{N,T} Pointd{N} Pointf{N} Pointi{N} Pointui{N}\n2 Point2{T} Point2d Point2f Point2i Point2ui\n3 Point3{T} Point3d Point3f Point3i Point3ui","category":"page"},{"location":"static_array_types/#Mat","page":"Point, Vec and Mat","title":"Mat","text":"","category":"section"},{"location":"static_array_types/","page":"Point, Vec and Mat","title":"Point, Vec and Mat","text":" T(eltype) Float64 Float32 Int UInt\nN(dim) Mat{N,T} Matd{N} Matf{N} Mati{N} Matui{N}\n2 Mat2{T} Mat2d Mat2f Mat2i Mat2ui\n3 Mat3{T} Mat3d Mat3f Mat3i Mat3ui","category":"page"},{"location":"api/#API-Reference","page":"API Reference","title":"API Reference","text":"","category":"section"},{"location":"api/#Exports","page":"API Reference","title":"Exports","text":"","category":"section"},{"location":"api/","page":"API Reference","title":"API Reference","text":"Modules = [GeometryBasics]\nOrder = [:module, :constant, :type, :function, :macro]\nPublic = true\nPrivate = false","category":"page"},{"location":"api/#GeometryBasics.AbstractFace","page":"API Reference","title":"GeometryBasics.AbstractFace","text":"AbstractFace{N_indices, T} <: StaticVector{N_indices, T}\n\nParent type for all face types. The standard face type is typically a GLTriangleFace = NgonFace{3, GLIndex}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.AbstractGeometry","page":"API Reference","title":"GeometryBasics.AbstractGeometry","text":"abstract type AbstractGeometry{Dimension, T<:Number}\n\nBase type for geometry types like GeometryPrimites and Polytopes.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.AbstractMesh","page":"API Reference","title":"GeometryBasics.AbstractMesh","text":"AbstractMesh\n\nAn abstract mesh is a collection of Polytope elements (Simplices / Ngons). The connections are defined via faces(mesh) and the coordinates of the elements are returned by coordinates(mesh).\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Circle","page":"API Reference","title":"GeometryBasics.Circle","text":"Circle{T}\n\nAn alias for a HyperSphere of dimension 2. (i.e. HyperSphere{2, T})\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Cylinder","page":"API Reference","title":"GeometryBasics.Cylinder","text":"Cylinder{T}(origin::Point3, extremity::Point3, radius)\n\nA Cylinder is a 3D primitive defined by an origin, an extremity (end point) and a radius.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.FaceView","page":"API Reference","title":"GeometryBasics.FaceView","text":"FaceView(data, faces)\n\nA FaceView is an alternative to passing a vertex attribute directly to a mesh. It bundles data with a new set of faces which may index that data differently from the faces defined in a mesh. This can be useful to avoid duplication in data.\n\nFor example, data can be defined per face by giving each face just one (repeated) index:\n\nper_face_normals = FaceView(\n normals, # one per face\n FT.(eachindex(normals)) # with FT = facetype(mesh)\n)\n\nIf you need a mesh with strictly per-vertex data, e.g. for rendering, you can use expand_faceviews(mesh) to convert every vertex attribute to be per-vertex. This will duplicate data and reorder faces as needed.\n\nYou can get the data of a FaceView with values(faceview) and the faces with faces(faceview).\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.HyperRectangle","page":"API Reference","title":"GeometryBasics.HyperRectangle","text":"HyperRectangle{N, T}\n\nA HyperRectangle is a generalization of a rectangle into N-dimensions. Formally it is the cartesian product of intervals, which is represented by the origin and widths fields, whose indices correspond to each of the N axes.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.HyperSphere","page":"API Reference","title":"GeometryBasics.HyperSphere","text":"HyperSphere{N, T}\n\nA HyperSphere is a generalization of a sphere into N-dimensions. A center and radius, r, must be specified.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.LineString","page":"API Reference","title":"GeometryBasics.LineString","text":"LineString(points::AbstractVector{<:Point})\n\nA LineString is a collection of points connected by line segments.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Mat","page":"API Reference","title":"GeometryBasics.Mat","text":"Mat{R, C, T[, L]}(args::Union{UniformScaling, Tuple, AbstractMatrix})\nMat{R, C}(args::Union{Tuple, AbstractMatrix})\nMat{C}(args::Tuple)\n\nConstructs a static Matrix from the given inputs. Can also take multiple numeric args. If only one size is given the matrix is assumed to be square.\n\nAliases\n\n T Float64 Float32 Int UInt\nN Mat{N,T} Matd{N} Matf{N} Mati{N} Matui{N}\n2 Mat2{T} Mat2d Mat2f Mat2i Mat2ui\n3 Mat3{T} Mat3d Mat3f Mat3i Mat3ui\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Mesh","page":"API Reference","title":"GeometryBasics.Mesh","text":"Mesh{PositionDim, PositionType, FaceType, VertexAttributeNames, VertexAttributeTypes, FaceVectorType} <: AbstractMesh{PositionDim, PositionType} <: AbstractGeometry{PositionDim, PositionType}\n\nThe type of a concrete mesh. The associated struct contains 3 fields:\n\nstruct Mesh{...}\n vertex_attributes::NamedTuple{VertexAttributeNames, VertexAttributeTypes}\n faces::FaceVectorType\n views::Vector{UnitRange{Int}}\nend\n\nA vertex typically carries multiple distinct pieces of data, e.g. a position, a normal, a texture coordinate, etc. We call those pieces of data vertex attributes. The vertex_attributes field contains the name and a collection <: AbstractVector or <: FaceView for each attribute. The n-th element of that collection is the value of the corresponding attribute for the n-th vertex.\n\n# vertex 1 2 3\nvertex_attributes[:position] = [pos1, pos2, pos3, ...]\nvertex_attributes[:normal] = [normal1, normal2, normal3, ...]\n...\n\nA NamedTuple is used here to allow different meshes to carry different vertex attributes while also keeping things type stable. The constructor enforces a few restrictions:\n\nThe first attribute must be named position and must have a Point{PositionDim, PositionType} eltype.\nEach vertex attribute must refer to the same number of vertices. (All vertex attributes defined by \n\nAbstractVector must match in length. For FaceViews, the number of faces needs to match.)\n\nSee also: vertex_attributes, coordinates, normals, texturecoordinates, decompose, FaceView, expand_faceviews\n\nThe faces field is a collection <: AbstractVector{FaceType} containing faces that describe how vertices are connected. Typically these are (GL)TriangleFaces or QuadFaces, but they can be any collection of vertex indices <: AbstractFace.\n\nSee also: faces, decompose\n\nThe views field can be used to separate the mesh into mutliple submeshes. Each submesh is described by a \"view\" into the faces vector, i.e. submesh n uses mesh.faces[mesh.views[n]]. A Mesh can be constructed without views, which results in an empty views vector. \n\nSee also: merge, split_mesh\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Mesh-Tuple{AbstractVector{<:AbstractFace}}","page":"API Reference","title":"GeometryBasics.Mesh","text":"Mesh(faces[; views, attributes...])\nMesh(positions, faces[; views])\nMesh(positions, faces::AbstractVector{<: Integer}[; facetype = TriangleFace, skip = 1])\nMesh(; attributes...)\n\nConstructs a mesh from the given arguments.\n\nIf positions are given explicitly, they are merged with other vertex attributes under the name position. Otherwise they must be part of attributes. If faces are not given attributes.position must be a FaceView.\n\nAny other vertex attribute can be either an AbstractVector or a FaceView thereof. Every vertex attribute that is an AbstractVector must be sufficiently large to be indexable by mesh.faces. Every vertex attribute that is a FaceView must contain similar faces to mesh.faces, i.e. contain the same number of faces and have faces of matching length.\n\nviews can be defined optionally to implicitly split the mesh into multi sub-meshes. This is done by providing ranges for indexing faces which correspond to the sub-meshes. By default this is left empty.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.MetaMesh-Tuple{AbstractMesh}","page":"API Reference","title":"GeometryBasics.MetaMesh","text":"MetaMesh(mesh; metadata...)\nMetaMesh(positions, faces; metadata...)\n\nConstructs a MetaMesh either from another mesh or by constructing another mesh with the given positions and faces. Any keyword arguments given will be stored in the meta field in MetaMesh.\n\nThis struct is meant to be used for storage of non-vertex data. Any vertex related data should be stored as a vertex attribute in Mesh. One example of such data is material data, which is defined per view in mesh.views, i.e. per submesh.\n\nThe metadata added to the MetaMesh can be manipulated with Dict-like operations (getindex, setindex!, get, delete, keys, etc). Vertex attributes can be accessed via fields and the same getters as mesh. The mesh itself can be retrieved with Mesh(metamesh).\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.MultiPoint","page":"API Reference","title":"GeometryBasics.MultiPoint","text":"MultiPoint(points::AbstractVector{AbstractPoint})\n\nA collection of points\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.MultiPolygon","page":"API Reference","title":"GeometryBasics.MultiPolygon","text":"MultiPolygon(polygons::AbstractPolygon)\n\nA collection of polygons\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.NgonFace","page":"API Reference","title":"GeometryBasics.NgonFace","text":"NgonFace{N, T}\n\nA planar face connecting N vertices. Shorthands include:\n\nLineFace{T} = NgonFace{2,T}\nTriangleFace{T} = NgonFace{3,T}\nQuadFace{T} = NgonFace{4,T}\nGLTriangleFace = TriangleFace{GLIndex}\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.OffsetInteger","page":"API Reference","title":"GeometryBasics.OffsetInteger","text":"OffsetInteger{O, T}\n\nOffsetInteger type mainly for indexing.\n\nO - The offset relative to Julia arrays. This helps reduce copying when\n\ncommunicating with 0-indexed systems such as OpenGL.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Point","page":"API Reference","title":"GeometryBasics.Point","text":"Point{N, T}(args...)\nPoint{N, T}(args::Union{AbstractVector, Tuple, NTuple, StaticVector})\n\nConstructs a Point of length N from the given arguments. \n\nNote that Point and Vec don't follow strict mathematical definitions. Instead we allow them to be used interchangeably.\n\nAliases\n\n T Float64 Float32 Int UInt\nN Point{N,T} Pointd{N} Pointf{N} Pointi{N} Pointui{N}\n2 Point2{T} Point2d Point2f Point2i Point2ui\n3 Point3{T} Point3d Point3f Point3i Point3ui\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Polygon","page":"API Reference","title":"GeometryBasics.Polygon","text":"Polygon(exterior::AbstractVector{<:Point})\nPolygon(exterior::AbstractVector{<:Point}, interiors::Vector{<:AbstractVector{<:Point}})\n\nConstructs a polygon from a set of exterior points. If interiors are given, each of them cuts away from the Polygon.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Polytope","page":"API Reference","title":"GeometryBasics.Polytope","text":"Polytope{Dim, T} <: AbstractGeometry{Dim, T}\n\nA Polytope is the generalization of a Polygon to higher dimensions, i.e. a geometric object consisting of flat faces.\n\nA Polygon and Ngon are both 2D Polytopes. A Simplex is the simplest Polytope in arbitrary dimensions.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Polytope-Union{Tuple{IT}, Tuple{T}, Tuple{Dim}, Tuple{N}, Tuple{Type{Point{Dim, T}}, Type{<:GeometryBasics.AbstractNgonFace{N, IT}}}} where {N, Dim, T, IT}","page":"API Reference","title":"GeometryBasics.Polytope","text":"Polytope(::Type{<: Point}, ::Type{<: AbstractNgonFace})\n\nThe Ngon Polytope element type when indexing an array of points with a SimplexFace\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Polytope-Union{Tuple{T}, Tuple{Dim}, Tuple{N}, Tuple{Type{Point{Dim, T}}, Type{<:GeometryBasics.AbstractSimplexFace{N}}}} where {N, Dim, T}","page":"API Reference","title":"GeometryBasics.Polytope","text":"Polytope(::Type{Point{Dim,T}}, ::Type{<:AbstractSimplexFace{N}})\n\nThe Simplex Polytope element type when indexing an array of points with a SimplexFace\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Polytope-Union{Tuple{T}, Tuple{NDim}, Tuple{N}, Tuple{Type{<:NSimplex{N}}, Type{Point{NDim, T}}}} where {N, NDim, T}","page":"API Reference","title":"GeometryBasics.Polytope","text":"Polytope(::Type{<:NSimplex{N}}, P::Type{Point{NDim,T}})\n\nThe fully concrete Simplex type, when constructed from a point type!\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Polytope-Union{Tuple{_T}, Tuple{_D}, Tuple{T}, Tuple{NDim}, Tuple{N}, Tuple{Type{<:GeometryBasics.Ngon{_D, _T, N}}, Type{Point{NDim, T}}}} where {N, NDim, T, _D, _T}","page":"API Reference","title":"GeometryBasics.Polytope","text":"Polytope(::Type{<: Ngon}, P::Type{<: Point})\n\nThe fully concrete Ngon type, when constructed from a point type!\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Pyramid","page":"API Reference","title":"GeometryBasics.Pyramid","text":"Pyramid(middle::Point3, length::Real, width::Real)\n\nA Pyramid is an axis-aligned primitive where the tip of the Pyramid extends by length from middle in z direction and the square base extends by width in ±x and ±y direction from middle. \n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect","page":"API Reference","title":"GeometryBasics.Rect","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect-Tuple{Vararg{Number}}","page":"API Reference","title":"GeometryBasics.Rect","text":"Rect(vals::Number...)\n\nRect(vals::Number...)\n\nRect constructor for individually specified intervals. e.g. Rect(0,0,1,2) has origin == Vec(0,0) and width == Vec(1,2)\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Rect-Union{Tuple{AbstractArray{PT}}, Tuple{PT}, Tuple{T1}, Tuple{N1}} where {N1, T1, PT<:Point}","page":"API Reference","title":"GeometryBasics.Rect","text":"Rect(points::AbstractArray{<: Point})\n\nConstruct a bounding box countaining all the given points.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Rect-Union{Tuple{GeometryPrimitive{N, T}}, Tuple{T}, Tuple{N}} where {N, T}","page":"API Reference","title":"GeometryBasics.Rect","text":"Rect(primitive::GeometryPrimitive)\n\nConstruct a bounding box for the given primitive.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.Rect2","page":"API Reference","title":"GeometryBasics.Rect2","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect2d","page":"API Reference","title":"GeometryBasics.Rect2d","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect2f","page":"API Reference","title":"GeometryBasics.Rect2f","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect2i","page":"API Reference","title":"GeometryBasics.Rect2i","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect3","page":"API Reference","title":"GeometryBasics.Rect3","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect3d","page":"API Reference","title":"GeometryBasics.Rect3d","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect3f","page":"API Reference","title":"GeometryBasics.Rect3f","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rect3i","page":"API Reference","title":"GeometryBasics.Rect3i","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rectd","page":"API Reference","title":"GeometryBasics.Rectd","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Rectf","page":"API Reference","title":"GeometryBasics.Rectf","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Recti","page":"API Reference","title":"GeometryBasics.Recti","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Simplex","page":"API Reference","title":"GeometryBasics.Simplex","text":"Simplex{D, T<:Real, N}(points::NTuple{N, Point{D, T}})\n\nA Simplex is a generalization of an N-dimensional tetrahedra and can be thought of as a minimal convex set containing the specified points.\n\nA 0-simplex is a point.\nA 1-simplex is a line segment.\nA 2-simplex is a triangle.\nA 3-simplex is a tetrahedron.\n\nNote that this datatype is offset by one compared to the traditional mathematical terminology. So a one-simplex is represented as Simplex{2,T}. This is for a simpler implementation.\n\nIt applies to infinite dimensions. The structure of this type is designed to allow embedding in higher-order spaces by parameterizing on T.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Sphere","page":"API Reference","title":"GeometryBasics.Sphere","text":"Sphere{T}\n\nAn alias for a HyperSphere of dimension 3. (i.e. HyperSphere{3, T})\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Tesselation","page":"API Reference","title":"GeometryBasics.Tesselation","text":"Tesselation(primitive, nvertices)\n\nWhen generating a mesh from an abstract geometry, we can typically generate it at different levels of detail, i.e. with different amounts of vertices. The Tesselation wrapper allows you to specify this level of detail. When generating a mesh from a tesselated geometry, the added information will be passed to coordinates, faces, etc.\n\nsphere = Sphere(Point3f(0), 1)\nm1 = mesh(sphere) # uses a default value for tesselation\nm2 = mesh(Tesselation(sphere, 64)) # uses 64 for tesselation\nlength(coordinates(m1)) != length(coordinates(m2))\n\nFor grid based tesselation, you can also use a tuple:\n\nrect = Rect2(0, 0, 1, 1)\nTesselation(rect, (5, 5))\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.TupleView","page":"API Reference","title":"GeometryBasics.TupleView","text":"TupleView{T, N, Skip, A}\n\nTupleView, groups elements of an array as tuples. N is the dimension of the tuple, M tells how many elements to skip to the next tuple. By default TupleView{N} defaults to skip N items.\n\na few examples:\n\n\nx = [1, 2, 3, 4, 5, 6]\nTupleView{2, 1}(x):\n> [(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)]\n\nTupleView{2}(x):\n> [(1, 2), (3, 4), (5, 6)]\n\nTupleView{2, 3}(x):\n> [(1, 2), (4, 5)]\n\nTupleView{3, 1}(x):\n> [(1, 2, 3), (2, 3, 4), (3, 4, 5), (4, 5, 6)]\n\nTupleView can be used together with reinterpret:\n\nx = [1, 2, 3, 4]\ny = reinterpret(Point{2, Int}, TupleView{2, 1}(x))\n> [Point(1, 2), Point(2, 3), Point(3, 4)]\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.Vec","page":"API Reference","title":"GeometryBasics.Vec","text":"Vec{N, T}(args...)\nVec{N, T}(args::Union{AbstractVector, Tuple, NTuple, StaticVector})\n\nConstructs a Vec of length N from the given arguments. \n\nNote that Point and Vec don't follow strict mathematical definitions. Instead we allow them to be used interchangeably.\n\nAliases\n\n T Float64 Float32 Int UInt\nN Vec{N,T} Vecd{N} Vecf{N} Veci{N} Vecui{N}\n2 Vec2{T} Vec2d Vec2f Vec2i Vec2ui\n3 Vec3{T} Vec3d Vec3f Vec3i Vec3ui\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.area-Union{Tuple{AbstractArray{Point2{T}, 1}}, Tuple{T}} where T","page":"API Reference","title":"GeometryBasics.area","text":"area(contour::AbstractVector{Point}})\n\nCalculate the area of a polygon.\n\nFor 2D points, the oriented area is returned (negative when the points are oriented clockwise).\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.area-Union{Tuple{FT}, Tuple{VT}, Tuple{AbstractArray{Point3{VT}, 1}, AbstractArray{TriangleFace{FT}, 1}}} where {VT, FT}","page":"API Reference","title":"GeometryBasics.area","text":"area(vertices::AbstractVector{Point{3}}, faces::AbstractVector{TriangleFace})\n\nCalculate the area of all triangles.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.area-Union{Tuple{FT}, Tuple{VT}, Tuple{AbstractVector{<:Point3{VT}}, TriangleFace{FT}}} where {VT, FT}","page":"API Reference","title":"GeometryBasics.area","text":"area(vertices::AbstractVector{Point{3}}, face::TriangleFace)\n\nCalculate the area of one triangle.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.connect-Union{Tuple{Point}, Tuple{AbstractVector{Point}, Type{<:Polytope}}, Tuple{AbstractVector{Point}, Type{<:Polytope}, Int64}} where Point<:Point","page":"API Reference","title":"GeometryBasics.connect","text":"connect(points::AbstractVector{<: Point}, P::Type{<: Polytope{N}}, skip::Int = N)\n\nCreates a view that connects a number of points to a Polytope P. Between each polytope, skip elements are skipped untill the next starts. Example: ```julia x = connect(Point[(1, 2), (3, 4), (5, 6), (7, 8)], Line, 2) x == [Line(Point(1, 2), Point(3, 4)), Line(Point(5, 6), Point(7, 8))]\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.convert_simplex-Union{Tuple{N}, Tuple{T}, Tuple{Type{LineFace{T}}, NgonFace{N}}} where {T, N}","page":"API Reference","title":"GeometryBasics.convert_simplex","text":"convert_simplex(::Type{Face{2}}, f::Face{N})\n\nExtract all line segments in a Face.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.convert_simplex-Union{Tuple{N}, Tuple{T}, Tuple{Type{TriangleFace{T}}, Union{NgonFace{N}, SimplexFace{N}}}} where {T, N}","page":"API Reference","title":"GeometryBasics.convert_simplex","text":"convert_simplex(::Type{Face{3}}, f::Face{N})\n\nTriangulate an N-Face into a tuple of triangular faces.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.convert_simplex-Union{Tuple{T}, Tuple{Type{T}, T}} where T","page":"API Reference","title":"GeometryBasics.convert_simplex","text":"convert_simplex(::Type{TargetType}, x)\n\nUsed to convert one object into another in decompose(::Type{TargetType}, xs).\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.coordinates-Tuple{AbstractVector{<:Point}}","page":"API Reference","title":"GeometryBasics.coordinates","text":"coordinates(geometry)\n\nReturns the positions/coordinates of a geometry. \n\nThis is allowed to return lazy iterators. Use decompose(ConcretePointType, geometry) to get a Vector{ConcretePointType} with ConcretePointType being something like Point3f.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.decompose-Union{Tuple{F}, Tuple{Type{F}, AbstractGeometry}} where F<:AbstractFace","page":"API Reference","title":"GeometryBasics.decompose","text":"decompose(::Type{TargetType}, primitive)\ndecompose(::Type{TargetType}, data::AbstractVector)\n\nDependent on the given type, extracts data from the primtive and converts its eltype to TargetType.\n\nPossible TargetTypes:\n\n<: Point extracts and converts positions (calling coordinates())\n<: AbstractFace extracts and converts faces (calling faces())\n<: Normal{<: Vec} extracts and converts normals, potentially generating them (calling normals())\n<: UV{<: Vec} extracts and converts 2D texture coordinates, potentially generating them (calling texturecoordinates())\n<: UVW{<: Vec} extracts and converts 3D texture coordinates, potentially generating them (calling texturecoordinates())\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.decompose-Union{Tuple{F}, Tuple{Type{F}, AbstractVector{<:Point}}} where F<:AbstractFace","page":"API Reference","title":"GeometryBasics.decompose","text":"decompose(facetype, contour::AbstractArray{<:Point})\n\nTriangulate a Polygon without hole.\n\nReturns a Vector{facetype} defining indexes into contour.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.expand_faceviews-Tuple{Mesh}","page":"API Reference","title":"GeometryBasics.expand_faceviews","text":"expand_faceviews(mesh::Mesh)\n\nReturns the given mesh if it contains no FaceViews. Otherwise, generates a new mesh that contains no FaceViews, reordering and duplicating vertex atttributes as necessary. If the mesh has views they will be adjusted as needed to produce the same submeshes.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.face_normals-Union{Tuple{T}, Tuple{AbstractVector{<:Point3{T}}, AbstractVector{<:AbstractFace}}} where T","page":"API Reference","title":"GeometryBasics.face_normals","text":"face_normals(positions::Vector{Point3{T}}, faces::Vector{<: NgonFace}[, target_type = Vec3{T}])\n\nCompute face normals from the given positions and faces and returns an appropriate FaceView.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.faces-Tuple{AbstractVector{<:AbstractFace}}","page":"API Reference","title":"GeometryBasics.faces","text":"faces(geometry)\n\nReturns the faces of a geometry. \n\nThis is allowed to return lazy iterators. Use decompose(ConcreteFaceType, geometry) to get a Vector{ConcreteFaceType} with ConcreteFaceType being something like GLTriangleFace.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.normal_mesh-Tuple{AbstractVector{<:Point}, AbstractVector{<:AbstractFace}}","page":"API Reference","title":"GeometryBasics.normal_mesh","text":"uv_normal_mesh(primitive::GeometryPrimitive{N}[; pointtype = Point{N, Float32}, facetype = GLTriangleFace, uvtype = Vec2f, normaltype = Vec3f])\n\nCreates a triangle mesh with texture coordinates and normals from a given primitive. The pointtype, facetype and uvtype and normaltype are set by the correspondering keyword arguments. \n\nSee also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.normal_mesh-Union{Tuple{AbstractGeometry{N}}, Tuple{N}} where N","page":"API Reference","title":"GeometryBasics.normal_mesh","text":"normal_mesh(primitive::GeometryPrimitive{N}[; pointtype = Point{N, Float32}, facetype = GLTriangleFace, normaltype = Vec3f])\n\nCreates a triangle mesh with normals from a given primitive. The pointtype, facetype and uvtype and normaltype are set by the correspondering keyword arguments. \n\nSee also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.normals","page":"API Reference","title":"GeometryBasics.normals","text":"normals(primitive)\n\nReturns the normals of a geometry. \n\nThis is allowed to return lazy iterators. Use decompose_normals(ConcreteVecType, geometry) to get a Vector{ConcreteVecType} with ConcreteVecType being something like Vec3f.\n\n\n\n\n\n","category":"function"},{"location":"api/#GeometryBasics.normals-Union{Tuple{F}, Tuple{T}, Tuple{AbstractArray{Point3{T}, 1}, AbstractVector{F}}} where {T, F<:NgonFace}","page":"API Reference","title":"GeometryBasics.normals","text":"normals(positions::Vector{Point3{T}}, faces::Vector{<: NgonFace}[; normaltype = Vec3{T}])\n\nCompute vertex normals from the given positions and faces.\n\nThis runs through all faces, computing a face normal each and adding it to every involved vertex. The direction of the face normal is based on winding direction and assumed counter-clockwise faces. At the end the summed face normals are normalized again to produce a vertex normal.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.self_intersections-Tuple{AbstractVector{<:Point}}","page":"API Reference","title":"GeometryBasics.self_intersections","text":"self_intersections(points::AbstractVector{<:Point})\n\nFinds all self intersections of polygon points\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.split_intersections-Tuple{AbstractVector{<:Point}}","page":"API Reference","title":"GeometryBasics.split_intersections","text":"split_intersections(points::AbstractVector{<: Point})\n\nSplits polygon points into it's self intersecting parts. Only 1 intersection is handled right now.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.texturecoordinates","page":"API Reference","title":"GeometryBasics.texturecoordinates","text":"texturecoordinates(primitive)\n\nReturns the texturecoordinates of a geometry. \n\nThis is allowed to return lazy iterators. Use decompose_uv(ConcreteVecType, geometry) (or decompose_uvw) to get a Vector{ConcreteVecType} with ConcreteVecType being something like Vec2f.\n\n\n\n\n\n","category":"function"},{"location":"api/#GeometryBasics.triangle_mesh-Union{Tuple{Union{AbstractVector{<:Point{N}}, AbstractGeometry{N}}}, Tuple{N}} where N","page":"API Reference","title":"GeometryBasics.triangle_mesh","text":"triangle_mesh(primitive::GeometryPrimitive[; pointtype = Point, facetype = GLTriangleFace])\n\nCreates a simple triangle mesh from a given primitive with the given pointtype and facetype. \n\nSee also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.uv_mesh-Union{Tuple{AbstractGeometry{N}}, Tuple{N}} where N","page":"API Reference","title":"GeometryBasics.uv_mesh","text":"uv_mesh(primitive::GeometryPrimitive{N}[; pointtype = Point{N, Float32}, facetype = GLTriangleFace, uvtype = Vec2f])\n\nCreates a triangle mesh with texture coordinates from a given primitive. The pointtype, facetype and uvtype are set by the correspondering keyword arguments. \n\nSee also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.uv_normal_mesh-Union{Tuple{AbstractGeometry{N}}, Tuple{N}} where N","page":"API Reference","title":"GeometryBasics.uv_normal_mesh","text":"uv_normal_mesh(primitive::GeometryPrimitive{N}[; pointtype = Point{N, Float32}, facetype = GLTriangleFace, uvtype = Vec2f, normaltype = Vec3f])\n\nCreates a triangle mesh with texture coordinates and normals from a given primitive. The pointtype, facetype and uvtype and normaltype are set by the correspondering keyword arguments. \n\nSee also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.vertex_attributes-Tuple{Mesh}","page":"API Reference","title":"GeometryBasics.vertex_attributes","text":"vertex_attributes(mesh::Mesh)\n\nReturns a dictionairy containing the vertex attributes of the given mesh. Mutating these will change the mesh.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.volume-Tuple{Mesh}","page":"API Reference","title":"GeometryBasics.volume","text":"volume(mesh)\n\nCalculate the signed volume of all tetrahedra. Be sure the orientation of your surface is right.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.volume-Tuple{Triangle}","page":"API Reference","title":"GeometryBasics.volume","text":"volume(triangle)\n\nCalculate the signed volume of one tetrahedron. Be sure the orientation of your surface is right.\n\n\n\n\n\n","category":"method"},{"location":"api/#Private","page":"API Reference","title":"Private","text":"","category":"section"},{"location":"api/","page":"API Reference","title":"API Reference","text":"Modules = [GeometryBasics]\nOrder = [:module, :constant, :type, :function, :macro]\nPublic = false\nPrivate = true","category":"page"},{"location":"api/#GeometryBasics.Ngon","page":"API Reference","title":"GeometryBasics.Ngon","text":"Ngon{D, T, N}(points::NTuple{N, Point{D, T}})\n\nDefines a flat polygon (without holes) in D dimensional space using N points, e.g.:\n\nN 1-2 : Illegal!\nN = 3 : Triangle\nN = 4 : Quadrilateral (or Quad, Or tetragon)\nN = 5 : Pentagon\n...\n\nFor polygons with holes, see Polygon.\n\n\n\n\n\n","category":"type"},{"location":"api/#GeometryBasics.RectT","page":"API Reference","title":"GeometryBasics.RectT","text":"const Rect{N,T} = HyperRectangle{N,T}\n\nA rectangle in N dimensions, formally the cartesian product of intervals. See also HyperRectangle. Its aliases are\n\n T(eltype) Float64 Float32 Int\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N}\n2 Rect2{T} Rect2d Rect2f Rect2i\n3 Rect3{T} Rect3d Rect3f Rect3i\n\nThere is an additional unexported alias RectT that simply reverses the order of type parameters: RectT{T,N} == Rect{N,T}.\n\n\n\n\n\n","category":"type"},{"location":"api/#Base.:*-Union{Tuple{T2}, Tuple{T1}, Tuple{N2}, Tuple{N1}, Tuple{StaticArraysCore.SMatrix{N1, N1, T1}, HyperRectangle{N2, T2}}} where {N1, N2, T1, T2}","page":"API Reference","title":"Base.:*","text":"*(m::Mat, h::Rect)\n\nTransform a Rect using a matrix. Maintains axis-align properties so a significantly larger Rect may be generated.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.in-Union{Tuple{N}, Tuple{HyperRectangle{N}, HyperRectangle{N}}} where N","page":"API Reference","title":"Base.in","text":"in(b1::Rect, b2::Rect)\n\nCheck if Rect b1 is contained in b2. This does not use strict inequality, so Rects may share faces and this will still return true.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.in-Union{Tuple{N}, Tuple{T}, Tuple{Union{NTuple{N, T}, StaticArraysCore.StaticArray{Tuple{N}, T, 1}} where {N, T}, HyperRectangle{N, T}}} where {T, N}","page":"API Reference","title":"Base.in","text":"in(pt::VecTypes, b1::Rect{N, T})\n\nCheck if a point is contained in a Rect. This will return true if the point is on a face of the Rect.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.in-Union{Tuple{T}, Tuple{T, Triangle}} where T<:Point","page":"API Reference","title":"Base.in","text":"in(point, triangle)\n\nDetermine if a point is inside of a triangle.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.intersect-Union{Tuple{N}, Tuple{HyperRectangle{N}, HyperRectangle{N}}} where N","page":"API Reference","title":"Base.intersect","text":"intersect(h1::Rect, h2::Rect)\n\nPerform a intersection between two Rects.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.isempty-Union{Tuple{HyperRectangle{N, T}}, Tuple{T}, Tuple{N}} where {N, T}","page":"API Reference","title":"Base.isempty","text":"isempty(h::Rect)\n\nReturn true if any of the widths of h are negative.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.merge-Tuple{AbstractVector{<:Mesh}}","page":"API Reference","title":"Base.merge","text":"merge(meshes::AbstractVector{Mesh})\n\nGenerates a new mesh containing all the data of the individual meshes.\n\nIf all meshes are consistent in their use of FaceViews they will be preserved. Otherwise all of them will be converted with expand_faceviews(mesh).\n\nThis function will generate views in the new mesh which correspond to the inputs of this function.\n\n\n\n\n\n","category":"method"},{"location":"api/#Base.union-Union{Tuple{N}, Tuple{HyperRectangle{N}, HyperRectangle{N}}} where N","page":"API Reference","title":"Base.union","text":"union(r1::Rect{N}, r2::Rect{N})\n\nReturns a new Rect{N} which contains both r1 and r2.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.mesh-Tuple{AbstractGeometry}","page":"API Reference","title":"GeometryBasics.mesh","text":"mesh(primitive::GeometryPrimitive[; pointtype = Point, facetype = GLTriangleFace, vertex_attributes...])\n\nCreates a mesh from a given primitive with the given pointtype and facetype. \n\nThis method only generates positions and faces from the primitive. Additional vertex attributes like normals and texture coordinates can be given as extra keyword arguments.\n\nNote that vertex attributes that are nothing get removed before creating a mesh.\n\nSee also: triangle_mesh, normal_mesh, uv_mesh, uv_normal_mesh\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.mesh-Union{Tuple{AbstractVector{P}}, Tuple{P}} where P<:(Point2)","page":"API Reference","title":"GeometryBasics.mesh","text":"mesh(polygon::AbstractVector{P}; pointtype=P, facetype=GLTriangleFace)\n\nCreate a mesh from a polygon given as a vector of points, using triangulation.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.mesh-Union{Tuple{FT}, Tuple{AbstractVector{<:Point}, AbstractVector{FT}}} where FT<:AbstractFace","page":"API Reference","title":"GeometryBasics.mesh","text":"mesh(positions, faces[, facetype = GLTriangleFace, vertex_attributes...])\n\nCreates a mesh from the given positions and faces. Other vertex attributes like normals and texture coordinates can be added as keyword arguments.\n\nNote that vertex attributes that are nothing get removed before creating a mesh.\n\nSee also:normal_mesh\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.mesh-Union{Tuple{Mesh{D, T, FT, Names, VAT, FVT} where {Names, VAT<:(Tuple{var\"#s11\", Vararg{Union{AbstractVector{T}, FaceView{T, AVT} where AVT<:AbstractVector{T}} where T}} where var\"#s11\"<:AbstractArray{Point{D, T}, 1}), FVT<:AbstractVector{FT}}}, Tuple{FT}, Tuple{T}, Tuple{D}} where {D, T, FT<:AbstractFace}","page":"API Reference","title":"GeometryBasics.mesh","text":"mesh(mesh::Mesh[; pointtype = Point, facetype = GLTriangleFace, vertex_attributes...]\n\nRecreates the given mesh with the given pointtype, facetype and vertex attributes. If the new mesh would match the old mesh, the old mesh is returned instead.\n\nNote that vertex attributes that are nothing get removed before creating a mesh.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.orthogonal_vector-Tuple{Any, Any, Any}","page":"API Reference","title":"GeometryBasics.orthogonal_vector","text":"orthogonal_vector(p1, p2, p3)\n\nCalculates an orthogonal vector cross(p2 - p1, p3 - p1) to a plane described by 3 points p1, p2, p3. \n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.remove_duplicates-Union{Tuple{AbstractVector{FT}}, Tuple{FT}} where FT<:AbstractFace","page":"API Reference","title":"GeometryBasics.remove_duplicates","text":"remove_duplicates(faces)\n\nUses a Dict to remove duplicates from the given faces.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.split-Tuple{HyperRectangle, Any, Integer}","page":"API Reference","title":"GeometryBasics.split","text":"split(rectangle, axis, value)\n\nSplits an Rect into two along an axis at a given location.\n\n\n\n\n\n","category":"method"},{"location":"api/#GeometryBasics.split_mesh","page":"API Reference","title":"GeometryBasics.split_mesh","text":"split_mesh(mesh::Mesh, views::Vector{UnitRange{Int}} = mesh.views)\n\nCreates a new mesh containing faces(mesh)[range] for each range in views. This also removes unused vertices.\n\n\n\n\n\n","category":"function"},{"location":"polygons/#Polygons","page":"Polygons","title":"Polygons","text":"","category":"section"},{"location":"primitives/#Primitives","page":"Primitives","title":"Primitives","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"In GeometryBasics.jl, a GeometryPrimitive is an object from which a mesh can be constructed.","category":"page"},{"location":"primitives/#Existing-GeometryPrimitives","page":"Primitives","title":"Existing GeometryPrimitives","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"GeometryBasics comes with a few predefined primitives:","category":"page"},{"location":"primitives/#HyperRectangle","page":"Primitives","title":"HyperRectangle","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"A Rect{D, T} = HyperRectangle{D, T} is a D-dimensional axis-aligned hyperrectangle defined by an origin and a size.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"using GeometryBasics\nr1 = HyperRectangle{4, Float64}(Point{4, Float64}(0), Vec{4, Float64}(1))\nr2 = Rect3f(Point3f(-1), Vec3f(2))\nr3 = Rect2i(0, 0, 1, 1)","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Rect2 supports normal and texture coordinate generation as well as tesselation. Without tesselation, the coordinates of 2D Rects are defined in anti-clockwise order. Rect3 supports normals and texture coordinates, but not tesselation.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Shorthands:","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":" T(eltype) Float64 Float32 Int UInt\nN(dim) Rect{N,T} Rectd{N} Rectf{N} Recti{N} Rectui{N}\n2 Rect2{T} Rect2d Rect2f Rect2i Rect2ui\n3 Rect3{T} Rect3d Rect3f Rect3i Rect3ui","category":"page"},{"location":"primitives/#Sphere-and-Circle","page":"Primitives","title":"Sphere and Circle","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Circle and Sphere are the 2 and 3 dimensional variants of HyperSphere. They are defined by an origin and a radius. While you can technically create a HyperSphere of any dimension, decomposition is only defined in 2D and 3D.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"s1 = HyperSphere{4, Int}(Point{4, Int}(0), 5)\ns2 = Sphere(Point3f(0, 0, 1), 1)\ns3 = Circle(Point2d(0), 2.0)","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Circle and Sphere support normal and texture coordinate generation as well as tesselation. The coordinates of Circle are defined in anti-clockwise order.","category":"page"},{"location":"primitives/#Cylinder","page":"Primitives","title":"Cylinder","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"A Cylinder is a 3D shape defined by two points and a radius.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"c = Cylinder(Point3f(-1, 0, 0), Point3f(0, 0, 1), 0.3f0) # start point, end point, radius","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Cylinder supports normals an Tesselation, but currently no texture coordinates.","category":"page"},{"location":"primitives/#Pyramid","page":"Primitives","title":"Pyramid","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Pyramid corresponds to a pyramid shape with a square base and four triangles coming together into a sharp point. It is defined by by the center point of the base, its height and its width.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"p = Pyramid(Point3f(0), 1f0, 0.3f0) # center, height, width","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Pyramid supports normals, but currently no texture coordinates or tesselation","category":"page"},{"location":"primitives/#Tesselation","page":"Primitives","title":"Tesselation","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"In GeometryBasics Tesselation is a wrapper type for primitives which communicates how dense the mesh generated from one should be.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"t = Tesselation(Cylinder(Point3f(0), Point3f(0,0,1), 0.2), 32) # 32 vertices for each circle\nnormal_mesh(t)\n\nt = Tesselation(Rect2(Point2f(0), Vec2f(1)), (8, 6)) # 8 vertices in x direction by 6 in y direction\ntriangle_mesh(t)","category":"page"},{"location":"primitives/#Primitive-Interface-/-Implementing-a-new-GeometryPrimitive","page":"Primitives","title":"Primitive Interface / Implementing a new GeometryPrimitive","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Every primitive should inherit from GeometryPrimitive{Dim, eltype} and implement at least coordinates(primitive) and faces(primitive) so that a mesh can be build from it. This will also be enough to automatically generate normals for a 3D primitive and texture coordinates for a 2D primitive. You can also implement functions to generate them directly with normals(primitive) and texturecoordinates(primitive). Depending on your primitive this might be necessary to get the normals and uvs you want.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"To be compatible with Tesselation all of the functions mentioned above should implement a second tesselation argument. This will be the second argument passed to the Tesselation constructor. It's up to you to decide what makes sense here, though typically it's just an integer that more or less corresponds to the number of generated vertices.","category":"page"},{"location":"primitives/#Example","page":"Primitives","title":"Example","text":"","category":"section"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"As an example, let's implement a parallelepiped, i.e. a 3D version or a parallelogram. In this case we need an origin and 3 vectors telling us how far and in which directions the object extends.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"struct Parallelepiped{T} <: GeometryPrimitive{3, T}\n origin::Point{3, T}\n v1::Vec{3, T}\n v2::Vec{3, T}\n v3::Vec{3, T}\nend","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Like the Rect{3}, this object comes with 8 unique positions which we want to return as its coordinates.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"function GeometryBasics.coordinates(primitive::Parallelepiped{T}) where {T}\n o = primitive.origin\n v1 = primitive.v1; v2 = primitive.v2; v3 = primitive.v3\n return Point{3, T}[o, o+v2, o+v1+v2, o+v1, o+v3, o+v2+v3, o+v1+v2+v3, o+v1+v3]\nend","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"To connect these points into a mesh, we need to generate a set of faces. The faces of a prallelepiped are parallelograms, which we can describe with QuadFace. Here we should be concious of the winding direction of faces. They are often used to determine the front vs the backside of a (2D) face. For example GeometryBasics normal generation and OpenGL's backface culling assume a counter-clockwise windig direction to correspond to a front-facing face. This means that if we look at a face from outside the shape, the positions referred to by that face should be ordered counter-clockwise. With that in mind the faces of our primitive become:","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"function GeometryBasics.faces(::Parallelepiped)\n return QuadFace{Int}[\n (1, 2, 3, 4), (5, 8, 7, 6), # facing -n3, +n3 (n3 being the normal of v1 x v2)\n (1, 5, 6, 2), (4, 3, 7, 8), # facing -n2, +n2\n (2, 6, 7, 3), (1, 4, 8, 5), # facing -n1, +n1\n ]\nend","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Note that you can check the correct winding direction fairly easily with Makie and the default generated normals. After implementing faces and coordinates, you can create a mesh plot of your primitive with Makie.mesh(primitive). If the mesh reacts to light in a reasonable way, i.e. gets brighter when light shines on it, then your faces have the correct winding direction. (It maybe useful to compare to other primitives like Sphere(Point3f(0), 1f0) here.)","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"Next on our TODO list are normals. The default normals produced by GeometryBasics.normal(primitive) are vertex normals, which assume that a primitive to be smooth. Since this is not the case for our primitive, we need to implement custom normals. Here we could rely on GeometryBasics.face_normal() which returns a normal per face, but for this example we will implement them ourselves.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"For our shape we want one normal per face, pointing in the normal direction of the corresponding 2D plane. We can calculate the normal vector as n = normalize(cross(v, w)) where v and w correspond to combinations of v1, v2 and v3. To get them to act per face rather than per vertex, we need to overwrite the faces generated by faces(). We can do that by creating a FaceView with a new set of faces which only act on normals. Each of these new faces needs to refer to one normal by index to get what we want.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"using LinearAlgebra\nfunction GeometryBasics.normals(primitive::Parallelepiped)\n n1 = normalize(cross(primitive.v2, primitive.v3))\n n2 = normalize(cross(primitive.v3, primitive.v1))\n n3 = normalize(cross(primitive.v1, primitive.v2))\n ns = [-n3, n3, -n2, n2, -n1, n1]\n fs = QuadFace{Int}[1, 2, 3, 4, 5, 6] # = [QuadFace{Int}(1), QuadFace{Int}(2), ...]\n return FaceView(ns, fs)\nend","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"As the last piece of the interface we can implement texture coordinates. They generally refer to a 2D image with normalized 2D coordinates on a per-vertex basis. There are many ways to define these coordinates. Here we will partition the image in 2x3 even sized rectangular sections, split by the sign of the normal directions defined above.","category":"page"},{"location":"primitives/","page":"Primitives","title":"Primitives","text":"function GeometryBasics.texturecoordinates(::Parallelepiped{T}) where {T}\n uvs = [Vec2f(x, y) for x in range(0, 1, length=4) for y in range(0, 1, 3)]\n fs = QuadFace{Int}[\n (1, 2, 5, 4), (2, 3, 6, 5),\n (4, 5, 8, 7), (5, 6, 9, 8), \n (7, 8, 11, 10), (8, 9, 12, 11)\n ]\n return FaceView(uvs, fs)\nend","category":"page"},{"location":"decomposition/#Decomposition","page":"Decomposition","title":"Decomposition","text":"","category":"section"},{"location":"decomposition/#decompose-functions","page":"Decomposition","title":"decompose functions","text":"","category":"section"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"The decompose functions allow you to grab certain data from an AbstractGeometry like a mesh or primitive and convert it to a requested type, if possible. They can also be used to convert an array of e.g. faces into a different face type directly. The default decomposition implemented by GeoemtryBasics are:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"decompose(::Type{<: Point}, source) which collects data from source using coordinates(source) and converts it to the given point type.\ndecompose_normals([::Type{<: Vec},] source) = decompose([::Type{Normals{<: Vec}}},] source) which collects data with normals(source) and converts it to the given Vec type.\ndecompose_uv([::Type{<: Vec},] source) = decompose([::Type{UV{<: Vec}}},] source) which collects data with texturecoordinates(source) and converts it to the given Vec type. This function also exists with UVW texture coordinates.\ndecompose(::Type{<: AbstractFace}, source) which collects data with faces(source) and converts it to the given face type. ","category":"page"},{"location":"decomposition/#Extending-decompose","page":"Decomposition","title":"Extending decompose","text":"","category":"section"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"For decompose to work there needs to be a conversion from some element type to some target type. GeometryBasics relies on GeometryBasics.convert_simplex(TargetType, value) for this. If you want to add new types to decompose, e.g. a new face type, you will need to add a method to that function.","category":"page"},{"location":"decomposition/#Primitive-decomposition","page":"Decomposition","title":"Primitive decomposition","text":"","category":"section"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"GeometryBasics defines an interface to decompose geometry primitives into vertex attributes and faces. The interface includes four functions:","category":"page"},{"location":"decomposition/","page":"Decomposition","title":"Decomposition","text":"coordinates(primitive[, nvertices]) which produces the positions associated with the primitive\nfaces(primitive[, nvertices]) which produces the faces which connect the vertex positions to a mesh\nnormals(primitive[, nvertices]) which optionally provide normal vectors of the primitive\ntexturecoordinates(primitive[, nvertices]) which optional provide texture coordinates (uv/uvw) of the primitive","category":"page"},{"location":"#GeometryBasics.jl","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"","category":"section"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Basic geometry types.","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"This package aims to offer a standard set of geometry types that easily work with metadata, query frameworks on geometries and different memory layouts. The aim is to create a solid basis for graphics/plotting, finite element analysis, geo applications, and general geometry manipulations - while offering a Julian API that still allows performant C-interop.","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"This package is a replacement for the discontinued GeometryTypes.","category":"page"},{"location":"#Quick-start","page":"GeometryBasics.jl","title":"Quick start","text":"","category":"section"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Create some points:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"using GeometryBasics\n\np1 = Point(3, 1)\np2 = Point(1, 3);\np3 = Point(4, 4);","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Connect pairs of points as line segments:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"l1 = Line(p1, p2)\nl2 = Line(p2, p3);","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Or connect multiple points as a linestring:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"LineString([p1, p2, p3])","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"You can also create polygons from points:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Polygon(Point{2, Int}[(3, 1), (4, 4), (2, 4), (1, 2), (3, 1)])","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Create a rectangle placed at the origin with unit width and height:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"rect = Rect(Vec(0.0, 0.0), Vec(1.0, 1.0))","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Decompose the rectangle into two triangular faces:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"rect_faces = decompose(TriangleFace{Int}, rect)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Decompose the rectangle into four positions:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"rect_positions = decompose(Point{2, Float64}, rect)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Combine the vertices and faces into a triangle mesh:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"mesh = Mesh(rect_positions, rect_faces)","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"Use GeometryBasics.mesh to get a mesh directly from a geometry:","category":"page"},{"location":"","page":"GeometryBasics.jl","title":"GeometryBasics.jl","text":"mesh = GeometryBasics.mesh(rect)","category":"page"},{"location":"meshes/#Meshes","page":"Meshes","title":"Meshes","text":"","category":"section"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"GeometryBasics defines two mesh types to work with - Mesh and MetaMesh","category":"page"},{"location":"meshes/#Mesh","page":"Meshes","title":"Mesh","text":"","category":"section"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"Mesh","category":"page"},{"location":"meshes/#GeometryBasics.Mesh-meshes","page":"Meshes","title":"GeometryBasics.Mesh","text":"Mesh{PositionDim, PositionType, FaceType, VertexAttributeNames, VertexAttributeTypes, FaceVectorType} <: AbstractMesh{PositionDim, PositionType} <: AbstractGeometry{PositionDim, PositionType}\n\nThe type of a concrete mesh. The associated struct contains 3 fields:\n\nstruct Mesh{...}\n vertex_attributes::NamedTuple{VertexAttributeNames, VertexAttributeTypes}\n faces::FaceVectorType\n views::Vector{UnitRange{Int}}\nend\n\nA vertex typically carries multiple distinct pieces of data, e.g. a position, a normal, a texture coordinate, etc. We call those pieces of data vertex attributes. The vertex_attributes field contains the name and a collection <: AbstractVector or <: FaceView for each attribute. The n-th element of that collection is the value of the corresponding attribute for the n-th vertex.\n\n# vertex 1 2 3\nvertex_attributes[:position] = [pos1, pos2, pos3, ...]\nvertex_attributes[:normal] = [normal1, normal2, normal3, ...]\n...\n\nA NamedTuple is used here to allow different meshes to carry different vertex attributes while also keeping things type stable. The constructor enforces a few restrictions:\n\nThe first attribute must be named position and must have a Point{PositionDim, PositionType} eltype.\nEach vertex attribute must refer to the same number of vertices. (All vertex attributes defined by \n\nAbstractVector must match in length. For FaceViews, the number of faces needs to match.)\n\nSee also: vertex_attributes, coordinates, normals, texturecoordinates, decompose, FaceView, expand_faceviews\n\nThe faces field is a collection <: AbstractVector{FaceType} containing faces that describe how vertices are connected. Typically these are (GL)TriangleFaces or QuadFaces, but they can be any collection of vertex indices <: AbstractFace.\n\nSee also: faces, decompose\n\nThe views field can be used to separate the mesh into mutliple submeshes. Each submesh is described by a \"view\" into the faces vector, i.e. submesh n uses mesh.faces[mesh.views[n]]. A Mesh can be constructed without views, which results in an empty views vector. \n\nSee also: merge, split_mesh\n\n\n\n\n\n","category":"type"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"You can get data from a mesh using a few interface functions:","category":"page"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"vertex_attributes(mesh) = mesh.vertex_attributes\ncoordinates(mesh) = mesh.vertex_attributes[:position]\nnormals(mesh) = mesh.vertex_attributes[:normal]\ntexturecoordinates(mesh) = mesh.vertex_attributes[:uv]\nfaces(mesh) = mesh.faces","category":"page"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"You can also grab the contents of mesh.vertex_attributes as if they were fields of the Mesh, e.g. mesh.position works.","category":"page"},{"location":"meshes/#FaceView","page":"Meshes","title":"FaceView","text":"","category":"section"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"FaceView","category":"page"},{"location":"meshes/#GeometryBasics.FaceView-meshes","page":"Meshes","title":"GeometryBasics.FaceView","text":"FaceView(data, faces)\n\nA FaceView is an alternative to passing a vertex attribute directly to a mesh. It bundles data with a new set of faces which may index that data differently from the faces defined in a mesh. This can be useful to avoid duplication in data.\n\nFor example, data can be defined per face by giving each face just one (repeated) index:\n\nper_face_normals = FaceView(\n normals, # one per face\n FT.(eachindex(normals)) # with FT = facetype(mesh)\n)\n\nIf you need a mesh with strictly per-vertex data, e.g. for rendering, you can use expand_faceviews(mesh) to convert every vertex attribute to be per-vertex. This will duplicate data and reorder faces as needed.\n\nYou can get the data of a FaceView with values(faceview) and the faces with faces(faceview).\n\n\n\n\n\n","category":"type"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"The purpose of FaceView is to allow you to add data that doesn't use the same vertex indices as mesh.faces As a minimal example consider a mesh that is just one triangle, i.e. 3 position and one triangle face TriangleFace(1,2,3). Let's say we want to add a flat color to the triangle. In this case we only have one color, but our face refers to 3 different vertices (3 different positions). To avoid duplicating the color data, we can instead define a new triangle face TriangleFace(1) and add the color attribute as a FaceView([color], [TriangleFace(1)]). If we ever need the mesh to be defined with just one common set of faces, i.e. no FaceView and appropriately duplicated vertex data, we can use expand_faceviews(mesh) to generate it.","category":"page"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"On a larger scale this can be useful for memory and performance reason, e.g. when you do calculations with vertex attributes. It can also simplify some definitions, like for example Rect3. In that case we have 8 positions and 6 normals with FaceViews, or 24 without (assuming per-face normals).","category":"page"},{"location":"meshes/#MetaMesh","page":"Meshes","title":"MetaMesh","text":"","category":"section"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"MetaMesh","category":"page"},{"location":"meshes/#How-to-create-a-mesh","page":"Meshes","title":"How to create a mesh","text":"","category":"section"},{"location":"meshes/#GeometryBasics","page":"Meshes","title":"GeometryBasics","text":"","category":"section"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"In GeometryBasics you mainly create meshes from primitives using a few constructors:","category":"page"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"triangle_mesh(primitive) generates the most basic mesh (i.e. positions and faces)\nnormal_mesh(primitive) generates a mesh with normals (generated if the primitive doesn't implement normal())\nuv_mesh(primitive) generates a mesh with texture coordinates (generated if the primitive doesn't implement texturecoordinates())\nuv_normal_mesh(primitive) generates a mesh with normals and texture coordinates","category":"page"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"Each of these constructors also includes keyword arguments for setting types, i.e. pointtype, facetype, normaltype and uvtype as appropriate. Of course you can also construct a mesh directly from data, either with there various Mesh() or GeometryBasics.mesh() constructors. The latter also include a pointtype and facetype conversion.","category":"page"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"Finally there is also a merge(::Vector{Mesh}) function which combines multiple meshes into a single one. Note that this doesn't remove any data (e.g. hidden or duplicate vertices), and may remove FaceViews if they are incompatible between meshes.","category":"page"},{"location":"meshes/#Meshing.jl","page":"Meshes","title":"Meshing.jl","text":"","category":"section"},{"location":"meshes/#MeshIO.jl","page":"Meshes","title":"MeshIO.jl","text":"","category":"section"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"The MeshIO.jl package provides load/save support for several file formats which store meshes.","category":"page"},{"location":"meshes/","page":"Meshes","title":"Meshes","text":"using GLMakie, GLMakie.FileIO, GeometryBasics\n\nm = load(GLMakie.assetpath(\"cat.obj\"))\nGLMakie.mesh(m; color=load(GLMakie.assetpath(\"diffusemap.png\")), axis=(; show_axis=false))","category":"page"}] } diff --git a/dev/static_array_types/index.html b/dev/static_array_types/index.html new file mode 100644 index 00000000..a19b0bd3 --- /dev/null +++ b/dev/static_array_types/index.html @@ -0,0 +1,4 @@ + +Point, Vec and Mat · GeometryBasics.jl

Point, Vec and Mat

GeometryBasics defines its own set of (small) Static Vectors and Matrices:

Point{N,T} <: StaticVector{N,T} <: AbstractVector{T}
+Vec{N,T} <: StaticVector{N,T} <: AbstractVector{T}
+Mat{Row, Column, T, L} <: AbstractMatrix{T}

These types are used throughout GeometryBasics to speed up calculations similar to how StaticArrays.jl does.

Aliases

GeometryBasics exports common aliases for Point, Vec, Mat and Rect:

Vec

T(eltype)Float64Float32IntUInt
N(dim)Vec{N,T}Vecd{N}Vecf{N}Veci{N}Vecui{N}
2Vec2{T}Vec2dVec2fVec2iVec2ui
3Vec3{T}Vec3dVec3fVec3iVec3ui

Point

T(eltype)Float64Float32IntUInt
N(dim)Point{N,T}Pointd{N}Pointf{N}Pointi{N}Pointui{N}
2Point2{T}Point2dPoint2fPoint2iPoint2ui
3Point3{T}Point3dPoint3fPoint3iPoint3ui

Mat

T(eltype)Float64Float32IntUInt
N(dim)Mat{N,T}Matd{N}Matf{N}Mati{N}Matui{N}
2Mat2{T}Mat2dMat2fMat2iMat2ui
3Mat3{T}Mat3dMat3fMat3iMat3ui