C# Class R3.Math.Isometry

Inheritance: ITransform

Private Properties

Property	Type	Description
ApplyCachedCircleInversion	System.Numerics.Complex
CacheCircleInversion	void
CacheCircleInversion	void
CalculateFromTwoPolygonsInternal	void
CircleInversion	System.Numerics.Complex
IsNaN	bool

Method	Description
Apply ( System.Numerics.Complex z ) : System.Numerics.Complex	Applies an isometry to a complex number.
Apply ( Vector3D z ) : Vector3D	Applies an isometry to a vector. Use the complex number version if you can.
CalculateFromTwoPolygons ( Tile home, Polygon boundaryPolygon, Geometry g ) : void
CalculateFromTwoPolygons ( Tile home, Tile tile, Geometry g ) : void	Calculates an isometry by taking a tile boundary polygon to a home.
Clone ( ) : Isometry
Inverse ( ) : Isometry	Returns a new Isometry that is the inverse of us.
Isometry ( ) : System.Collections.Generic
Isometry ( Isometry i ) : System.Collections.Generic
Isometry ( Mobius m, Circle r ) : System.Collections.Generic
ReflectX ( ) : Isometry	Returns an isometry which represents a reflection across the x axis.
TransformVertices ( Vector3D vertices, Isometry isometry ) : Vector3D[]	Simple helper to transform an array of vertices using an isometry. Warning! Allocates a new array.
operator ( ) : Isometry	Composition operator.

Method	Description
ApplyCachedCircleInversion ( System.Numerics.Complex input ) : System.Numerics.Complex
CacheCircleInversion ( Circle inversionCircle ) : void	Does a circle inversion on an arbitrary circle.
CacheCircleInversion ( System.Numerics.Complex c1, System.Numerics.Complex c2, System.Numerics.Complex c3 ) : void	Does a circle inversion in an arbitrary, generalized circle. IOW, the three points may be collinear, in which case we are talking about a reflection.
CalculateFromTwoPolygonsInternal ( Polygon home, Polygon boundary, CircleNE homeVertexCircle, Geometry g ) : void
CircleInversion ( System.Numerics.Complex input ) : System.Numerics.Complex	This will reflect a point in an origin centered circle.
IsNaN ( System.Numerics.Complex c ) : bool

Applies an isometry to a complex number.

public Apply ( System.Numerics.Complex z ) : System.Numerics.Complex
z	System.Numerics.Complex
return	System.Numerics.Complex

Applies an isometry to a vector.

Use the complex number version if you can.

public Apply ( Vector3D z ) : Vector3D
z	Vector3D
return	Vector3D

public CalculateFromTwoPolygons ( Tile home, Polygon boundaryPolygon, Geometry g ) : void
home	R3.Geometry.Tile
boundaryPolygon	Polygon
g	Geometry
return	void

Calculates an isometry by taking a tile boundary polygon to a home.

public CalculateFromTwoPolygons ( Tile home, Tile tile, Geometry g ) : void
home	R3.Geometry.Tile
tile	R3.Geometry.Tile
g	Geometry
return	void

public Clone ( ) : Isometry
return	Isometry

Returns a new Isometry that is the inverse of us.

public Inverse ( ) : Isometry
return	Isometry

public Isometry ( ) : System.Collections.Generic
return	System.Collections.Generic

public Isometry ( Isometry i ) : System.Collections.Generic
i	Isometry
return	System.Collections.Generic

public Isometry ( Mobius m, Circle r ) : System.Collections.Generic
m	Mobius
r	Circle
return	System.Collections.Generic

Returns an isometry which represents a reflection across the x axis.

public static ReflectX ( ) : Isometry
return	Isometry

Simple helper to transform an array of vertices using an isometry. Warning! Allocates a new array.

public static TransformVertices ( Vector3D vertices, Isometry isometry ) : Vector3D[]
vertices	Vector3D
isometry	Isometry
return	Vector3D[]

Composition operator.

public static operator ( ) : Isometry
return	Isometry