#include "ImathExport.h"
#include "ImathMatrix.h"
#include "ImathQuat.h"
#include "ImathEuler.h"
#include "ImathExc.h"
#include "ImathVec.h"
#include "ImathLimits.h"
#include "ImathNamespace.h"
#include <math.h>

Include dependency graph for ImathMatrixAlgo.h:

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Go to the source code of this file.

Functions
template<class T >
bool	extractScaling (const Matrix44< T > &mat, Vec3< T > &scl, bool exc=true)

template<class T >
Matrix44< T >	sansScaling (const Matrix44< T > &mat, bool exc=true)

template<class T >
bool	removeScaling (Matrix44< T > &mat, bool exc=true)

template<class T >
bool	extractScalingAndShear (const Matrix44< T > &mat, Vec3< T > &scl, Vec3< T > &shr, bool exc=true)

template<class T >
Matrix44< T >	sansScalingAndShear (const Matrix44< T > &mat, bool exc=true)

template<class T >
void	sansScalingAndShear (Matrix44< T > &result, const Matrix44< T > &mat, bool exc=true)

template<class T >
bool	removeScalingAndShear (Matrix44< T > &mat, bool exc=true)

template<class T >
bool	extractAndRemoveScalingAndShear (Matrix44< T > &mat, Vec3< T > &scl, Vec3< T > &shr, bool exc=true)

template<class T >
void	extractEulerXYZ (const Matrix44< T > &mat, Vec3< T > &rot)

template<class T >
void	extractEulerZYX (const Matrix44< T > &mat, Vec3< T > &rot)

template<class T >
Quat< T >	extractQuat (const Matrix44< T > &mat)

template<class T >
bool	extractSHRT (const Matrix44< T > &mat, Vec3< T > &s, Vec3< T > &h, Vec3< T > &r, Vec3< T > &t, bool exc, typename Euler< T >::Order rOrder)

template<class T >
bool	extractSHRT (const Matrix44< T > &mat, Vec3< T > &s, Vec3< T > &h, Vec3< T > &r, Vec3< T > &t, bool exc=true)

template<class T >
bool	extractSHRT (const Matrix44< T > &mat, Vec3< T > &s, Vec3< T > &h, Euler< T > &r, Vec3< T > &t, bool exc=true)

template<class T >
bool	checkForZeroScaleInRow (const T &scl, const Vec3< T > &row, bool exc=true)

template<class T >
Matrix44< T >	outerProduct (const Vec4< T > &a, const Vec4< T > &b)

template<class T >
Matrix44< T >	rotationMatrix (const Vec3< T > &fromDirection, const Vec3< T > &toDirection)

template<class T >
Matrix44< T >	rotationMatrixWithUpDir (const Vec3< T > &fromDir, const Vec3< T > &toDir, const Vec3< T > &upDir)

template<class T >
void	alignZAxisWithTargetDir (Matrix44< T > &result, Vec3< T > targetDir, Vec3< T > upDir)

template<class T >
Matrix44< T >	computeLocalFrame (const Vec3< T > &p, const Vec3< T > &xDir, const Vec3< T > &normal)

template<class T >
Matrix44< T >	addOffset (const Matrix44< T > &inMat, const Vec3< T > &tOffset, const Vec3< T > &rOffset, const Vec3< T > &sOffset, const Vec3< T > &ref)

template<class T >
Matrix44< T >	computeRSMatrix (bool keepRotateA, bool keepScaleA, const Matrix44< T > &A, const Matrix44< T > &B)

template<class T >
bool	extractScaling (const Matrix33< T > &mat, Vec2< T > &scl, bool exc=true)

template<class T >
Matrix33< T >	sansScaling (const Matrix33< T > &mat, bool exc=true)

template<class T >
bool	removeScaling (Matrix33< T > &mat, bool exc=true)

template<class T >
bool	extractScalingAndShear (const Matrix33< T > &mat, Vec2< T > &scl, T &h, bool exc=true)

template<class T >
Matrix33< T >	sansScalingAndShear (const Matrix33< T > &mat, bool exc=true)

template<class T >
bool	removeScalingAndShear (Matrix33< T > &mat, bool exc=true)

template<class T >
bool	extractAndRemoveScalingAndShear (Matrix33< T > &mat, Vec2< T > &scl, T &shr, bool exc=true)

template<class T >
void	extractEuler (const Matrix33< T > &mat, T &rot)

template<class T >
bool	extractSHRT (const Matrix33< T > &mat, Vec2< T > &s, T &h, T &r, Vec2< T > &t, bool exc=true)

template<class T >
bool	checkForZeroScaleInRow (const T &scl, const Vec2< T > &row, bool exc=true)

template<class T >
Matrix33< T >	outerProduct (const Vec3< T > &a, const Vec3< T > &b)

template<class T >
Matrix44< T >	addOffset (const Matrix44< T > &inMat, const Vec3< T > &tOffset, const Vec3< T > &rOffset, const Vec3< T > &sOffset, const Matrix44< T > &ref)

template<typename T >
IMATH_INTERNAL_NAMESPACE::M44d	procrustesRotationAndTranslation (const IMATH_INTERNAL_NAMESPACE::Vec3< T > A, const IMATH_INTERNAL_NAMESPACE::Vec3< T > B, const T *weights, const size_t numPoints, const bool doScaling=false)

template<typename T >
IMATH_INTERNAL_NAMESPACE::M44d	procrustesRotationAndTranslation (const IMATH_INTERNAL_NAMESPACE::Vec3< T > A, const IMATH_INTERNAL_NAMESPACE::Vec3< T > B, const size_t numPoints, const bool doScaling=false)

template<typename T >
void	jacobiSVD (const IMATH_INTERNAL_NAMESPACE::Matrix33< T > &A, IMATH_INTERNAL_NAMESPACE::Matrix33< T > &U, IMATH_INTERNAL_NAMESPACE::Vec3< T > &S, IMATH_INTERNAL_NAMESPACE::Matrix33< T > &V, const T tol=IMATH_INTERNAL_NAMESPACE::limits< T >::epsilon(), const bool forcePositiveDeterminant=false)

template<typename T >
void	jacobiSVD (const IMATH_INTERNAL_NAMESPACE::Matrix44< T > &A, IMATH_INTERNAL_NAMESPACE::Matrix44< T > &U, IMATH_INTERNAL_NAMESPACE::Vec4< T > &S, IMATH_INTERNAL_NAMESPACE::Matrix44< T > &V, const T tol=IMATH_INTERNAL_NAMESPACE::limits< T >::epsilon(), const bool forcePositiveDeterminant=false)

template<typename T >
void	jacobiEigenSolver (Matrix33< T > &A, Vec3< T > &S, Matrix33< T > &V, const T tol)

template<typename T >
void	jacobiEigenSolver (Matrix33< T > &A, Vec3< T > &S, Matrix33< T > &V)

template<typename T >
void	jacobiEigenSolver (Matrix44< T > &A, Vec4< T > &S, Matrix44< T > &V, const T tol)

template<typename T >
void	jacobiEigenSolver (Matrix44< T > &A, Vec4< T > &S, Matrix44< T > &V)

template<typename TM , typename TV >
void	maxEigenVector (TM &A, TV &S)

template<typename TM , typename TV >
void	minEigenVector (TM &A, TV &S)

Variables
IMATH_INTERNAL_NAMESPACE_HEADER_ENTER IMATH_EXPORT_VAR const M33f	identity33f

IMATH_EXPORT_VAR const M44f	identity44f

IMATH_EXPORT_VAR const M33d	identity33d

IMATH_EXPORT_VAR const M44d	identity44d

Function Documentation

template<class T >

Matrix44<T> addOffset	(	const Matrix44< T > &	inMat,
		const Vec3< T > &	tOffset,
		const Vec3< T > &	rOffset,
		const Vec3< T > &	sOffset,
		const Vec3< T > &	ref
	)

template<class T >

Matrix44<T> addOffset	(	const Matrix44< T > &	inMat,
		const Vec3< T > &	tOffset,
		const Vec3< T > &	rOffset,
		const Vec3< T > &	sOffset,
		const Matrix44< T > &	ref
	)

Definition at line 982 of file ImathMatrixAlgo.h.

template<class T >

void alignZAxisWithTargetDir	(	Matrix44< T > &	result,
		Vec3< T >	targetDir,
		Vec3< T >	upDir
	)

Definition at line 860 of file ImathMatrixAlgo.h.

template<class T >

bool checkForZeroScaleInRow	(	const T &	scl,
		const Vec3< T > &	row,
		bool	exc = `true`
	)

Definition at line 786 of file ImathMatrixAlgo.h.

template<class T >

bool checkForZeroScaleInRow	(	const T &	scl,
		const Vec2< T > &	row,
		bool	exc = `true`
	)

Definition at line 1283 of file ImathMatrixAlgo.h.

template<class T >

Matrix44< T > computeLocalFrame	(	const Vec3< T > &	p,
		const Vec3< T > &	xDir,
		const Vec3< T > &	normal
	)

Definition at line 938 of file ImathMatrixAlgo.h.

template<class T >

Matrix44< T > computeRSMatrix	(	bool	keepRotateA,
		bool	keepScaleA,
		const Matrix44< T > &	A,
		const Matrix44< T > &	B
	)

Definition at line 1015 of file ImathMatrixAlgo.h.

template<class T >

bool extractAndRemoveScalingAndShear	(	Matrix44< T > &	mat,
		Vec3< T > &	scl,
		Vec3< T > &	shr,
		bool	exc = `true`
	)

Definition at line 467 of file ImathMatrixAlgo.h.

template<class T >

bool extractAndRemoveScalingAndShear	(	Matrix33< T > &	mat,
		Vec2< T > &	scl,
		T &	shr,
		bool	exc = `true`
	)

Definition at line 1148 of file ImathMatrixAlgo.h.

template<class T >

void extractEuler	(	const Matrix33< T > &	mat,
		T &	rot
	)

Definition at line 1237 of file ImathMatrixAlgo.h.

template<class T >

void extractEulerXYZ	(	const Matrix44< T > &	mat,
		Vec3< T > &	rot
	)

Definition at line 582 of file ImathMatrixAlgo.h.

template<class T >

void extractEulerZYX	(	const Matrix44< T > &	mat,
		Vec3< T > &	rot
	)

Definition at line 629 of file ImathMatrixAlgo.h.

template<class T >

Quat< T > extractQuat ( const Matrix44< T > & mat )

Definition at line 676 of file ImathMatrixAlgo.h.

template<class T >

bool extractScaling	(	const Matrix44< T > &	mat,
		Vec3< T > &	scl,
		bool	exc = `true`
	)

Definition at line 355 of file ImathMatrixAlgo.h.

template<class T >

bool extractScaling	(	const Matrix33< T > &	mat,
		Vec2< T > &	scl,
		bool	exc = `true`
	)

Definition at line 1050 of file ImathMatrixAlgo.h.

template<class T >

bool extractScalingAndShear	(	const Matrix44< T > &	mat,
		Vec3< T > &	scl,
		Vec3< T > &	shr,
		bool	exc = `true`
	)

Definition at line 412 of file ImathMatrixAlgo.h.

template<class T >

bool extractScalingAndShear	(	const Matrix33< T > &	mat,
		Vec2< T > &	scl,
		T &	h,
		bool	exc = `true`
	)

Definition at line 1107 of file ImathMatrixAlgo.h.

template<class T >

bool extractSHRT	(	const Matrix44< T > &	mat,
		Vec3< T > &	s,
		Vec3< T > &	h,
		Vec3< T > &	r,
		Vec3< T > &	t,
		bool	exc,
		typename Euler< T >::Order	rOrder
	)

Definition at line 729 of file ImathMatrixAlgo.h.

template<class T >

bool extractSHRT	(	const Matrix44< T > &	mat,
		Vec3< T > &	s,
		Vec3< T > &	h,
		Vec3< T > &	r,
		Vec3< T > &	t,
		bool	exc = `true`
	)

Definition at line 761 of file ImathMatrixAlgo.h.

template<class T >

bool extractSHRT	(	const Matrix44< T > &	mat,
		Vec3< T > &	s,
		Vec3< T > &	h,
		Euler< T > &	r,
		Vec3< T > &	t,
		bool	exc = `true`
	)

Definition at line 773 of file ImathMatrixAlgo.h.

template<class T >

bool extractSHRT	(	const Matrix33< T > &	mat,
		Vec2< T > &	s,
		T &	h,
		T &	r,
		Vec2< T > &	t,
		bool	exc = `true`
	)

Definition at line 1259 of file ImathMatrixAlgo.h.

template<typename T >

void jacobiEigenSolver	(	Matrix33< T > &	A,
		Vec3< T > &	S,
		Matrix33< T > &	V,
		const T	tol
	)

template<typename T >

void jacobiEigenSolver	(	Matrix33< T > &	A,
		Vec3< T > &	S,
		Matrix33< T > &	V
	)

inline

Definition at line 1390 of file ImathMatrixAlgo.h.

template<typename T >

void jacobiEigenSolver	(	Matrix44< T > &	A,
		Vec4< T > &	S,
		Matrix44< T > &	V,
		const T	tol
	)

template<typename T >

void jacobiEigenSolver	(	Matrix44< T > &	A,
		Vec4< T > &	S,
		Matrix44< T > &	V
	)

inline

Definition at line 1407 of file ImathMatrixAlgo.h.

template<typename T >

void jacobiSVD	(	const IMATH_INTERNAL_NAMESPACE::Matrix33< T > &	A,
		IMATH_INTERNAL_NAMESPACE::Matrix33< T > &	U,
		IMATH_INTERNAL_NAMESPACE::Vec3< T > &	S,
		IMATH_INTERNAL_NAMESPACE::Matrix33< T > &	V,
		const T	tol = `IMATH_INTERNAL_NAMESPACE::limits< T >::epsilon()`,
		const bool	forcePositiveDeterminant = `false`
	)

template<typename T >

void jacobiSVD	(	const IMATH_INTERNAL_NAMESPACE::Matrix44< T > &	A,
		IMATH_INTERNAL_NAMESPACE::Matrix44< T > &	U,
		IMATH_INTERNAL_NAMESPACE::Vec4< T > &	S,
		IMATH_INTERNAL_NAMESPACE::Matrix44< T > &	V,
		const T	tol = `IMATH_INTERNAL_NAMESPACE::limits< T >::epsilon()`,
		const bool	forcePositiveDeterminant = `false`
	)

template<typename TM , typename TV >

void maxEigenVector	(	TM &	A,
		TV &	S
	)

template<typename TM , typename TV >

void minEigenVector	(	TM &	A,
		TV &	S
	)

template<class T >

Matrix44< T > outerProduct	(	const Vec4< T > &	a,
		const Vec4< T > &	b
	)

Definition at line 807 of file ImathMatrixAlgo.h.

template<class T >

Matrix33< T > outerProduct	(	const Vec3< T > &	a,
		const Vec3< T > &	b
	)

Definition at line 1305 of file ImathMatrixAlgo.h.

template<typename T >

IMATH_INTERNAL_NAMESPACE::M44d procrustesRotationAndTranslation	(	const IMATH_INTERNAL_NAMESPACE::Vec3< T > *	A,
		const IMATH_INTERNAL_NAMESPACE::Vec3< T > *	B,
		const T *	weights,
		const size_t	numPoints,
		const bool	doScaling = `false`
	)

template<typename T >

IMATH_INTERNAL_NAMESPACE::M44d procrustesRotationAndTranslation	(	const IMATH_INTERNAL_NAMESPACE::Vec3< T > *	A,
		const IMATH_INTERNAL_NAMESPACE::Vec3< T > *	B,
		const size_t	numPoints,
		const bool	doScaling = `false`
	)

template<class T >

bool removeScaling	(	Matrix44< T > &	mat,
		bool	exc = `true`
	)

Definition at line 391 of file ImathMatrixAlgo.h.

template<class T >

bool removeScaling	(	Matrix33< T > &	mat,
		bool	exc = `true`
	)

Definition at line 1086 of file ImathMatrixAlgo.h.

template<class T >

bool removeScalingAndShear	(	Matrix44< T > &	mat,
		bool	exc = `true`
	)

Definition at line 453 of file ImathMatrixAlgo.h.

template<class T >

bool removeScalingAndShear	(	Matrix33< T > &	mat,
		bool	exc = `true`
	)

Definition at line 1135 of file ImathMatrixAlgo.h.

template<class T >

Matrix44< T > rotationMatrix	(	const Vec3< T > &	fromDirection,
		const Vec3< T > &	toDirection
	)

Definition at line 817 of file ImathMatrixAlgo.h.

template<class T >

Matrix44< T > rotationMatrixWithUpDir	(	const Vec3< T > &	fromDir,
		const Vec3< T > &	toDir,
		const Vec3< T > &	upDir
	)

Definition at line 827 of file ImathMatrixAlgo.h.

template<class T >

Matrix44< T > sansScaling	(	const Matrix44< T > &	mat,
		bool	exc = `true`
	)

Definition at line 369 of file ImathMatrixAlgo.h.

template<class T >

Matrix33< T > sansScaling	(	const Matrix33< T > &	mat,
		bool	exc = `true`
	)

Definition at line 1064 of file ImathMatrixAlgo.h.

template<class T >

Matrix44< T > sansScalingAndShear	(	const Matrix44< T > &	mat,
		bool	exc = `true`
	)

Definition at line 426 of file ImathMatrixAlgo.h.

template<class T >

void sansScalingAndShear	(	Matrix44< T > &	result,
		const Matrix44< T > &	mat,
		bool	exc = `true`
	)

Definition at line 441 of file ImathMatrixAlgo.h.

template<class T >

Matrix33< T > sansScalingAndShear	(	const Matrix33< T > &	mat,
		bool	exc = `true`
	)

Definition at line 1120 of file ImathMatrixAlgo.h.

Variable Documentation

IMATH_EXPORT_VAR const M33d identity33d

Definition at line 69 of file ImathMatrixAlgo.h.

IMATH_INTERNAL_NAMESPACE_HEADER_ENTER IMATH_EXPORT_VAR const M33f identity33f

Definition at line 67 of file ImathMatrixAlgo.h.

IMATH_EXPORT_VAR const M44d identity44d

Definition at line 70 of file ImathMatrixAlgo.h.

IMATH_EXPORT_VAR const M44f identity44f

Definition at line 68 of file ImathMatrixAlgo.h.

Functions

Variables

Function Documentation

Variable Documentation