vec3h.h File Reference

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Classes
class	GfVec3h
	Basic type for a vector of 3 GfHalf components. More...

Functions
GF_API std::ostream &	operator<< (std::ostream &, GfVec3h const &)
	Output a GfVec3h.
GfVec3h	GfCompMult (GfVec3h const &v1, GfVec3h const &v2)
	Returns component-wise multiplication of vectors v1 and v2.
GfVec3h	GfCompDiv (GfVec3h const &v1, GfVec3h const &v2)
	Returns component-wise quotient of vectors v1 and v2.
GfHalf	GfDot (GfVec3h const &v1, GfVec3h const &v2)
	Returns the dot (inner) product of two vectors.
GfHalf	GfGetLength (GfVec3h const &v)
	Returns the geometric length of v.
GfHalf	GfNormalize (GfVec3h *v, GfHalf eps=0.001)
	Normalizes *v in place to unit length, returning the length before normalization.
GfVec3h	GfGetNormalized (GfVec3h const &v, GfHalf eps=0.001)
	Returns a normalized (unit-length) vector with the same direction as v.
GfVec3h	GfGetProjection (GfVec3h const &a, GfVec3h const &b)
	Returns the projection of a onto b.
GfVec3h	GfGetComplement (GfVec3h const &a, GfVec3h const &b)
	Returns the orthogonal complement of a.GetProjection(b).
bool	GfIsClose (GfVec3h const &v1, GfVec3h const &v2, double tolerance)
	Tests for equality within a given tolerance, returning true if the length of the difference vector is less than or equal to tolerance.
GF_API bool	GfOrthogonalizeBasis (GfVec3h *tx, GfVec3h *ty, GfVec3h *tz, bool normalize, double eps=GF_MIN_ORTHO_TOLERANCE)
GF_API void	GfBuildOrthonormalFrame (GfVec3h const &v0, GfVec3h *v1, GfVec3h *v2, GfHalf eps=0.001)
GfVec3h	GfCross (GfVec3h const &v1, GfVec3h const &v2)
	Returns the cross product of v1 and v2.
GfVec3h	operator^ (GfVec3h const &v1, GfVec3h const &v2)
	Returns the cross product of v1 and v2.
GF_API GfVec3h	GfSlerp (double alpha, GfVec3h const &v0, GfVec3h const &v1)
	Spherical linear interpolation in three dimensions.

Function Documentation

GfCompDiv()

GfVec3h GfCompDiv ( GfVec3h const &  v1, GfVec3h const &  v2  )

inline

Returns component-wise quotient of vectors v1 and v2.

Definition at line 342 of file vec3h.h.

GfCompMult()

GfVec3h GfCompMult ( GfVec3h const &  v1, GfVec3h const &  v2  )

inline

Returns component-wise multiplication of vectors v1 and v2.

Definition at line 332 of file vec3h.h.

GfCross()

GfVec3h GfCross ( GfVec3h const &  v1, GfVec3h const &  v2  )

inline

Returns the cross product of v1 and v2.

Definition at line 424 of file vec3h.h.

GfDot()

GfHalf GfDot ( GfVec3h const &  v1, GfVec3h const &  v2  )

inline

Returns the dot (inner) product of two vectors.

Definition at line 352 of file vec3h.h.

GfGetComplement()

GfVec3h GfGetComplement ( GfVec3h const &  a, GfVec3h const &  b  )

inline

Returns the orthogonal complement of a.GetProjection(b).

That is:

a - a.GetProjection(b)

Definition at line 397 of file vec3h.h.

GfGetLength()

GfHalf GfGetLength ( GfVec3h const &  v )

inline

Returns the geometric length of v.

Definition at line 359 of file vec3h.h.

GfGetNormalized()

GfVec3h GfGetNormalized ( GfVec3h const &  v, GfHalf  eps = 0.001  )

inline

Returns a normalized (unit-length) vector with the same direction as v.

If the length of this vector is smaller than eps, the vector divided by eps is returned.

Definition at line 377 of file vec3h.h.

GfGetProjection()

GfVec3h GfGetProjection ( GfVec3h const &  a, GfVec3h const &  b  )

inline

Returns the projection of a onto b.

That is:

b * (a * b)

Definition at line 387 of file vec3h.h.

GfIsClose()

bool GfIsClose ( GfVec3h const &  v1, GfVec3h const &  v2, double  tolerance  )

inline

Tests for equality within a given tolerance, returning true if the length of the difference vector is less than or equal to tolerance.

Definition at line 405 of file vec3h.h.

GfNormalize()

GfHalf GfNormalize ( GfVec3h *  v, GfHalf  eps = 0.001  )

inline

Normalizes *v in place to unit length, returning the length before normalization.

If the length of *v is smaller than eps then *v is set to *v/eps. The original length of *v is returned.

Definition at line 368 of file vec3h.h.

GfSlerp()

GF_API GfVec3h GfSlerp	(	double	alpha,
		GfVec3h const &	v0,
		GfVec3h const &	v1
	)

Spherical linear interpolation in three dimensions.

operator^()

GfVec3h operator^ ( GfVec3h const &  v1, GfVec3h const &  v2  )

inline

Returns the cross product of v1 and v2.

See also

GfCross()

Definition at line 435 of file vec3h.h.