vec3f.h File Reference

Include dependency graph for vec3f.h:

Go to the source code of this file.

Classes
class	GfVec3f
	Basic type for a vector of 3 float components. More...

Functions
GF_API std::ostream &	operator<< (std::ostream &, GfVec3f const &)
	Output a GfVec3f.
GfVec3f	GfCompMult (GfVec3f const &v1, GfVec3f const &v2)
	Returns component-wise multiplication of vectors v1 and v2.
GfVec3f	GfCompDiv (GfVec3f const &v1, GfVec3f const &v2)
	Returns component-wise quotient of vectors v1 and v2.
float	GfDot (GfVec3f const &v1, GfVec3f const &v2)
	Returns the dot (inner) product of two vectors.
float	GfGetLength (GfVec3f const &v)
	Returns the geometric length of v.
float	GfNormalize (GfVec3f *v, float eps=GF_MIN_VECTOR_LENGTH)
	Normalizes *v in place to unit length, returning the length before normalization.
GfVec3f	GfGetNormalized (GfVec3f const &v, float eps=GF_MIN_VECTOR_LENGTH)
	Returns a normalized (unit-length) vector with the same direction as v.
GfVec3f	GfGetProjection (GfVec3f const &a, GfVec3f const &b)
	Returns the projection of a onto b.
GfVec3f	GfGetComplement (GfVec3f const &a, GfVec3f const &b)
	Returns the orthogonal complement of a.GetProjection(b).
bool	GfIsClose (GfVec3f const &v1, GfVec3f 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 (GfVec3f *tx, GfVec3f *ty, GfVec3f *tz, bool normalize, double eps=GF_MIN_ORTHO_TOLERANCE)
GF_API void	GfBuildOrthonormalFrame (GfVec3f const &v0, GfVec3f *v1, GfVec3f *v2, float eps=GF_MIN_VECTOR_LENGTH)
GfVec3f	GfCross (GfVec3f const &v1, GfVec3f const &v2)
	Returns the cross product of v1 and v2.
GfVec3f	operator^ (GfVec3f const &v1, GfVec3f const &v2)
	Returns the cross product of v1 and v2.
GF_API GfVec3f	GfSlerp (double alpha, GfVec3f const &v0, GfVec3f const &v1)
	Spherical linear interpolation in three dimensions.

Function Documentation

GfCompDiv()

GfVec3f GfCompDiv ( GfVec3f const &  v1, GfVec3f const &  v2  )

inline

Returns component-wise quotient of vectors v1 and v2.

Definition at line 341 of file vec3f.h.

GfCompMult()

GfVec3f GfCompMult ( GfVec3f const &  v1, GfVec3f const &  v2  )

inline

Returns component-wise multiplication of vectors v1 and v2.

Definition at line 331 of file vec3f.h.

GfCross()

GfVec3f GfCross ( GfVec3f const &  v1, GfVec3f const &  v2  )

inline

Returns the cross product of v1 and v2.

Definition at line 423 of file vec3f.h.

GfDot()

float GfDot ( GfVec3f const &  v1, GfVec3f const &  v2  )

inline

Returns the dot (inner) product of two vectors.

Definition at line 351 of file vec3f.h.

GfGetComplement()

GfVec3f GfGetComplement ( GfVec3f const &  a, GfVec3f const &  b  )

inline

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

That is:

a - a.GetProjection(b)

Definition at line 396 of file vec3f.h.

GfGetLength()

float GfGetLength ( GfVec3f const &  v )

inline

Returns the geometric length of v.

Definition at line 358 of file vec3f.h.

GfGetNormalized()

GfVec3f GfGetNormalized ( GfVec3f const &  v, float  eps = GF_MIN_VECTOR_LENGTH  )

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 376 of file vec3f.h.

GfGetProjection()

GfVec3f GfGetProjection ( GfVec3f const &  a, GfVec3f const &  b  )

inline

Returns the projection of a onto b.

That is:

b * (a * b)

Definition at line 386 of file vec3f.h.

GfIsClose()

bool GfIsClose ( GfVec3f const &  v1, GfVec3f 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 404 of file vec3f.h.

GfNormalize()

float GfNormalize ( GfVec3f *  v, float  eps = GF_MIN_VECTOR_LENGTH  )

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 367 of file vec3f.h.

GfSlerp()

GF_API GfVec3f GfSlerp	(	double	alpha,
		GfVec3f const &	v0,
		GfVec3f const &	v1
	)

Spherical linear interpolation in three dimensions.

operator^()

GfVec3f operator^ ( GfVec3f const &  v1, GfVec3f const &  v2  )

inline

Returns the cross product of v1 and v2.

See also

GfCross()

Definition at line 434 of file vec3f.h.