C# Class HyperbolicModels.SphericalTrig

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Public Methods

Method	Description
IntersectionCircleCircle ( Vector3D sphereCenter, Circle3D c1, Circle3D c2, Vector3D &i1, Vector3D &i2 ) : void	NOTE: Not general, and assumes some things we know about this problem domain, e.g. that c1 and c2 live on the same sphere of radius 1, and have two intersection points.
IntersectionGCGC ( Vector3D gc1, Vector3D gc2, Vector3D &i1, Vector3D &i2 ) : bool	Returns the two intersection points of two great circles. gc1 and gc2 are the great circle normal vectors. Fails if the input circles are the same.
IntersectionSmart ( Vector3D sphereCenter, Circle3D c1, Circle3D c2, Vector3D &i1, Vector3D &i2 ) : bool	Had to break the intersection method into separate cases (depending on when circles are great circles or not), because the spherical pythagorean theorem breaks down in GC cases.

Private Methods

Method	Description
Clamp ( double val ) : double	Clamps the input to [-1,1]. This is to avoid floating point issues when taking arcsin and arccos.
CosAngle ( Vector3D p1, Vector3D p2 ) : double	Calculate the cosine of the angle between two vectors.
GetGCNormal ( Vector3D p1, Vector3D p2, Vector3D &normal ) : bool	Return the normal of the great circle defined by the two vectors. Return false if we fail to get the normal (happens if p1 = p2).
IntersectionCircleGC ( Circle3D c, Vector3D gc, List iPoints ) : bool	Returns intersection points between a circle and a great circle. There may be 0, 1, or 2 intersection points. Returns false if the circle is the same as gc.
IsGC ( Circle3D c ) : bool
SinAngle ( Vector3D p1, Vector3D p2 ) : double	Calculate the sine of the angle between two vectors.

Method Details

IntersectionCircleCircle() public static method

NOTE: Not general, and assumes some things we know about this problem domain, e.g. that c1 and c2 live on the same sphere of radius 1, and have two intersection points.

public static IntersectionCircleCircle ( Vector3D sphereCenter, Circle3D c1, Circle3D c2, Vector3D &i1, Vector3D &i2 ) : void
sphereCenter	Vector3D
c1	R3.Geometry.Circle3D
c2	R3.Geometry.Circle3D
i1	Vector3D
i2	Vector3D
return	void

IntersectionGCGC() public static method

Returns the two intersection points of two great circles. gc1 and gc2 are the great circle normal vectors. Fails if the input circles are the same.

public static IntersectionGCGC ( Vector3D gc1, Vector3D gc2, Vector3D &i1, Vector3D &i2 ) : bool
gc1	Vector3D
gc2	Vector3D
i1	Vector3D
i2	Vector3D
return	bool

IntersectionSmart() public static method

Had to break the intersection method into separate cases (depending on when circles are great circles or not), because the spherical pythagorean theorem breaks down in GC cases.

public static IntersectionSmart ( Vector3D sphereCenter, Circle3D c1, Circle3D c2, Vector3D &i1, Vector3D &i2 ) : bool
sphereCenter	Vector3D
c1	R3.Geometry.Circle3D
c2	R3.Geometry.Circle3D
i1	Vector3D
i2	Vector3D
return	bool