C# Class R3.Geometry.H3Models.UHS

Public Methods

Method	Description
ExtendEdges ( IEnumerable edges ) : IEnumerable	Takes a set of finite edges, and returns a new set of ideal edges which touch the boundary. Duplicate ideal edges are removed (since multiple finite edges can result in the same ideal edge).
FromE ( double eNorm ) : double	Euclidean to UHS norm
Geodesic ( Vector3D v1, Vector3D v2, Vector3D &center, double &radius ) : void
Geodesic ( Vector3D v1, Vector3D v2, Vector3D &center, double &radius, Vector3D &normal, double &angleTot ) : void
GeodesicIdealEndpoints ( Vector3D v1, Vector3D v2, Vector3D &z1, Vector3D &z2 ) : void	Given two points (in the UHS model), find the endpoints of the associated geodesic that lie on the z=0 plane.
GeodesicPoints ( Vector3D v1, Vector3D v2 ) : Vector3D[]	Calculate points along a geodesic segment from v1 to v2.
GeodesicPoints ( Vector3D v1, Vector3D v2, int div ) : Vector3D[]	Calculate points along a geodesic segment from v1 to v2.
IdealCircle ( Sphere s ) : Circle	Given a geodesic sphere, returns it's intersection with the boundary plane.
IdealPoints ( Sphere s, Vector3D &s1, Vector3D &s2, Vector3D &s3 ) : void	Given a geodesic sphere, calculates 3 ideal points of the sphere.
SizeFunc ( Vector3D v, double angularThickness ) : double	A size function for the UHS model. Returns a radius.
ToE ( double hNorm ) : double	Hyperbolic to Euclidean norm The output is a vertical distance from 0,0,0
ToEHorizontal ( double hNorm, double z ) : double	Hyperbolic to Euclidean norml The output is a horizontal distance from 0,0,z

Method Details

ExtendEdges() public static method

Takes a set of finite edges, and returns a new set of ideal edges which touch the boundary. Duplicate ideal edges are removed (since multiple finite edges can result in the same ideal edge).

public static ExtendEdges ( IEnumerable edges ) : IEnumerable
edges	IEnumerable
return	IEnumerable

FromE() public static method

Euclidean to UHS norm

public static FromE ( double eNorm ) : double
eNorm	double
return	double

Geodesic() public static method

public static Geodesic ( Vector3D v1, Vector3D v2, Vector3D &center, double &radius ) : void
v1	Vector3D
v2	Vector3D
center	Vector3D
radius	double
return	void

Geodesic() public static method

public static Geodesic ( Vector3D v1, Vector3D v2, Vector3D &center, double &radius, Vector3D &normal, double &angleTot ) : void
v1	Vector3D
v2	Vector3D
center	Vector3D
radius	double
normal	Vector3D
angleTot	double
return	void

GeodesicIdealEndpoints() public static method

Given two points (in the UHS model), find the endpoints of the associated geodesic that lie on the z=0 plane.

public static GeodesicIdealEndpoints ( Vector3D v1, Vector3D v2, Vector3D &z1, Vector3D &z2 ) : void
v1	Vector3D
v2	Vector3D
z1	Vector3D
z2	Vector3D
return	void

GeodesicPoints() public static method

Calculate points along a geodesic segment from v1 to v2.

public static GeodesicPoints ( Vector3D v1, Vector3D v2 ) : Vector3D[]
v1	Vector3D
v2	Vector3D
return	Vector3D[]

GeodesicPoints() public static method

Calculate points along a geodesic segment from v1 to v2.

public static GeodesicPoints ( Vector3D v1, Vector3D v2, int div ) : Vector3D[]
v1	Vector3D
v2	Vector3D
div	int
return	Vector3D[]

IdealCircle() public static method

Given a geodesic sphere, returns it's intersection with the boundary plane.

public static IdealCircle ( Sphere s ) : Circle
s	Sphere
return	Circle

IdealPoints() public static method

Given a geodesic sphere, calculates 3 ideal points of the sphere.

public static IdealPoints ( Sphere s, Vector3D &s1, Vector3D &s2, Vector3D &s3 ) : void
s	Sphere
s1	Vector3D
s2	Vector3D
s3	Vector3D
return	void

SizeFunc() public static method

A size function for the UHS model. Returns a radius.

public static SizeFunc ( Vector3D v, double angularThickness ) : double
v	Vector3D
angularThickness	double
return	double

ToE() public static method

Hyperbolic to Euclidean norm The output is a vertical distance from 0,0,0

public static ToE ( double hNorm ) : double
hNorm	double
return	double

ToEHorizontal() public static method

Hyperbolic to Euclidean norml The output is a horizontal distance from 0,0,z

public static ToEHorizontal ( double hNorm, double z ) : double
hNorm	double
z	double
return	double