UT_Matrix4T< T > Class Template Reference

#include <UT_Matrix4.h>

List of all members.

Public Types
enum	applyType {   BEFORE = 1, EQUAL = 2, AFTER = 4, BEFORE_EQUAL = 4,   AFTER_EQUAL = 6 }
Public Member Functions
	UT_Matrix4T ()
	Construct uninitialized matrix.
	UT_Matrix4T (fpreal64 val)
	Construct identity matrix, multipled by scalar.
	UT_Matrix4T (T val00, T val01, T val02, T val03, T val10, T val11, T val12, T val13, T val20, T val21, T val22, T val23, T val30, T val31, T val32, T val33)
template<typename S >
	UT_Matrix4T (const UT_Matrix4T< S > &m)
template<typename S >
UT_Matrix4T< T > &	operator= (const UT_Matrix4T< S > &m)
template<typename S >
UT_Matrix4T< T > &	operator= (const UT_SymMatrix4T< S > &m)
	Conversion from a symmetric to a non symmetric matrix.
UT_Matrix4T< T >	operator- () const
UT_Matrix4T< T > &	operator+= (const UT_Matrix4T< T > &m)
UT_Matrix4T< T > &	operator-= (const UT_Matrix4T< T > &m)
UT_Matrix4T< T > &	operator*= (const UT_Matrix4T< T > &m)
unsigned	operator== (const UT_Matrix4T< T > &m) const
unsigned	operator!= (const UT_Matrix4T< T > &m) const
UT_Matrix4T< T > &	operator= (fpreal64 v)
UT_Matrix4T< T > &	operator*= (T scalar)
UT_Matrix4T< T > &	operator/= (T scalar)
template<typename S >
UT_Matrix4T< T > &	operator= (const UT_Vector4T< S > &vec)
template<typename S >
UT_Matrix4T< T > &	operator+= (const UT_Vector4T< S > &vec)
template<typename S >
UT_Matrix4T< T > &	operator-= (const UT_Vector4T< S > &vec)
void	leftMult (const UT_Matrix4T< T > &m)
void	preMultiply (const UT_Matrix4T< T > &m)
T	coFactor (int k, int l) const
T	determinant () const
T	determinant3 () const
	Compute determinant of the upper-left 3x3 sub-matrix.
T	trace () const
int	invertKramer (void)
int	invertKramer (UT_Matrix4T< T > &m) const
template<typename S >
void	instanceT (const UT_Vector3T< S > &p, const UT_Vector3T< S > &v, T s, const UT_Vector3T< S > *s3, const UT_Vector3T< S > *up, const UT_QuaternionT< S > *q, const UT_Vector3T< S > *tr, const UT_QuaternionT< S > *orient)
void	instance (const UT_Vector3F &p, const UT_Vector3F &v, T s, const UT_Vector3F *s3, const UT_Vector3F *up, const UT_QuaternionF *q, const UT_Vector3F *tr, const UT_QuaternionF *orient)
void	instance (const UT_Vector3D &p, const UT_Vector3D &v, T s, const UT_Vector3D *s3, const UT_Vector3D *up, const UT_QuaternionD *q, const UT_Vector3D *tr, const UT_QuaternionD *orient)
void	transpose (void)
UT_Matrix4T< T >	transpose (void) const
unsigned	isEqual (const UT_Matrix4T< T > &m, T tolerance=UT_FTOLERANCE) const
template<typename S >
void	rotate (UT_Vector3T< S > &axis, T theta, int norm=1)
template<typename S >
UT_Matrix4T< T >	rotate (UT_Vector3T< S > &axis, T theta, int norm=1) const
void	rotate (UT_Axis3::axis a, T theta)
UT_Matrix4T< T >	rotate (UT_Axis3::axis a, T theta) const
template<typename S >
void	prerotate (UT_Vector3T< S > &axis, T theta, int norm=1)
template<typename S >
UT_Matrix4T< T >	prerotate (UT_Vector3T< S > &axis, T theta, int norm=1) const
void	prerotate (UT_Axis3::axis a, T theta)
UT_Matrix4T< T >	prerotate (UT_Axis3::axis a, T theta) const
void	rotate (T rx, T ry, T rz, const UT_XformOrder &ord)
UT_Matrix4T< T >	rotate (T rx, T ry, T rz, const UT_XformOrder &ord) const
void	prerotate (T rx, T ry, T rz, const UT_XformOrder &ord)
UT_Matrix4T< T >	prerotate (T rx, T ry, T rz, const UT_XformOrder &ord) const
void	scale (T sx, T sy, T sz, T sw=1.0f)
UT_Matrix4T< T >	scale (T sx, T sy, T sz, T sw=1.0f) const
void	prescale (T sx, T sy, T sz, T sw=1.0f)
UT_Matrix4T< T >	prescale (T sx, T sy, T sz, T sw=1.0f) const
void	shear (T s_xy, T s_xz, T s_yz)
void	translate (T dx, T dy, T dz=0.0f)
UT_Matrix4T< T >	translate (T dx, T dy, T dz=0.0f) const
void	pretranslate (T dx, T dy, T dz=0.0f)
UT_Matrix4T< T >	pretranslate (T dx, T dy, T dz=0.0f) const
template<typename S >
void	changeSpace (UT_Vector3T< S > &iSrc, UT_Vector3T< S > &jSrc, UT_Vector3T< S > &iDest, UT_Vector3T< S > &jDest, int norm=1)
template<typename S >
UT_Matrix4T< T >	changeSpace (UT_Vector3T< S > &iSrc, UT_Vector3T< S > &jSrc, UT_Vector3T< S > &iDest, UT_Vector3T< S > &jDest, int norm=1) const
void	xform (const UT_XformOrder &order, T tx=0.0f, T ty=0.0f, T tz=0.0f, T rx=0.0f, T ry=0.0f, T rz=0.0f, T sx=1.0f, T sy=1.0f, T sz=1.0f, T px=0.0f, T py=0.0f, T pz=0.0f, int reverse=0)
UT_Matrix4T< T >	xform (const UT_XformOrder &order, T tx=0.0f, T ty=0.0f, T tz=0.0f, T rx=0.0f, T ry=0.0f, T rz=0.0f, T sx=1.0f, T sy=1.0f, T sz=1.0f, T px=0.0f, T py=0.0f, T pz=0.0f, int reverse=0) const
void	xform (const UT_XformOrder &order, T tx, T ty, T tz, T rx, T ry, T rz, T sx, T sy, T sz, T s_xy, T s_xz, T s_yz, T px, T py, T pz, int reverse=0)
void	xform (const UT_XformOrder &order, applyType type, char limit, T tx, T ty, T tz, T rx, T ry, T rz, T sx, T sy, T sz, T px, T py, T pz)
void	rotate (const UT_XformOrder &order, applyType type, char limit, T rx, T ry, T rz)
template<typename S >
void	getTranslates (UT_Vector3T< S > &translates) const
template<typename S >
void	setTranslates (const UT_Vector3T< S > &translates)
template<typename S >
int	explodeT (const UT_XformOrder &order, UT_Vector3T< S > &r, UT_Vector3T< S > &s, UT_Vector3T< S > &t, UT_Vector3T< S > *shears) const
int	explode (const UT_XformOrder &order, UT_Vector3F &r, UT_Vector3F &s, UT_Vector3F &t, UT_Vector3F *shears=0) const
int	explode (const UT_XformOrder &order, UT_Vector3D &r, UT_Vector3D &s, UT_Vector3D &t, UT_Vector3D *shears=0) const
template<typename S >
int	explodeT (const UT_XformOrder &order, UT_Vector3T< S > &r, UT_Vector3T< S > &s, UT_Vector3T< S > &t, const UT_Vector3T< S > &p, UT_Vector3T< S > *shears) const
int	explode (const UT_XformOrder &order, UT_Vector3F &r, UT_Vector3F &s, UT_Vector3F &t, const UT_Vector3F &p, UT_Vector3F *shears=0) const
int	explode (const UT_XformOrder &order, UT_Vector3D &r, UT_Vector3D &s, UT_Vector3D &t, const UT_Vector3D &p, UT_Vector3D *shears=0) const
template<typename S >
int	explode2D (const UT_XformOrder &order, T &r, UT_Vector2T< S > &s, UT_Vector2T< S > &t, T *shears=0) const
template<typename S >
int	explode2D (const UT_XformOrder &order, T &r, UT_Vector2T< S > &s, UT_Vector2T< S > &t, const UT_Vector2T< S > &p, T *shears=0) const
template<typename S >
void	extractRotate (UT_Matrix3T< S > &dst) const
template<typename S >
void	stretch (UT_Vector3T< S > &v, T amount, int norm=1)
template<typename S >
UT_Matrix4T< T >	stretch (UT_Vector3T< S > &v, T amount, int norm=1) const
T	dot (unsigned i, unsigned j) const
template<typename S >
void	outerproductUpdate (T b, const UT_Vector4T< S > &v1, const UT_Vector4T< S > &v2)
void	identity ()
	Set the matrix to identity.
void	zero ()
	Set the matrix to zero.
int	isIdentity () const
unsigned	hash () const
	Compute a hash.
T	getEuclideanNorm () const
T	getEuclideanNorm2 () const
	Euclidean norm squared.
int	save (ostream &os, int binary) const
bool	load (UT_IStream &is)
void	outAsciiNoName (ostream &os) const
template<typename S >
	UT_Matrix4T (const S m[4][4])
	Construct a deep copy of the input row-major data.
UT_Matrix4T< T > &	operator= (const UT_Matrix3T< fpreal32 > &m)
UT_Matrix4T< T > &	operator= (const UT_Matrix3T< fpreal64 > &m)
int	invert (T tol=0.0F)
	Invert this matrix and return 0 if OK, 1 if singular.
int	invertDouble ()
	Invert this matrix and return 0 if OK, 1 if singular.
int	invert (UT_Matrix4T< T > &m) const
int	invertDouble (UT_Matrix4T< T > &m) const
const T *	data (void) const
	Return the raw matrix data.
T *	data (void)
	Return the raw matrix data.
T &	operator() (unsigned row, unsigned col)
	Return a matrix entry. No bounds checking on subscripts.
T	operator() (unsigned row, unsigned col) const
	Return a matrix entry. No bounds checking on subscripts.
T *	operator() (unsigned row)
	Return a matrix row. No bounds checking on subscript.
const T *	operator() (unsigned row) const
	Return a matrix row. No bounds checking on subscript.
UT_Vector4T< T >	operator[] (unsigned row) const
	Return a matrix row. No bounds checking on subscript.
bool	save (UT_JSONWriter &w) const
bool	save (UT_JSONValue &v) const
bool	load (UT_JSONParser &p)
Static Public Member Functions
template<typename S >
static UT_Matrix4T< T >	rotationMat (UT_Vector3T< S > &axis, T theta, int norm=1)
static UT_Matrix4T< T >	rotationMat (UT_Axis3::axis a, T theta)
static const UT_Matrix4T< T > &	getIdentityMatrix ()
static int	entries ()
	Returns the vector size.
Public Attributes
union {
T   matx [4][4]
T   myFloats [16]
};
Friends
ostream &	operator<< (ostream &os, const UT_Matrix4T< T > &v)

---

Detailed Description

template<typename T>
class UT_Matrix4T< T >

This class implements a 4x4 fpreal matrix in row-major order.

Most of Houdini operates with row vectors that are left-multiplied with matrices. e.g., z = v * M As a result, translation data is in row 3 of the matrix, rather than column 3.

This convention, combined with row-major order, is directly compatible with OpenGL matrix requirements.

Examples:

SOP/SOP_IKSample.C, and SOP/SOP_IKSample.h.

Definition at line 74 of file UT_Matrix4.h.

---

Member Enumeration Documentation

template<typename T>

enum UT_Matrix4T::applyType

Enumerator:

BEFORE
EQUAL
AFTER
BEFORE_EQUAL
AFTER_EQUAL

Definition at line 579 of file UT_Matrix4.h.

---

Constructor & Destructor Documentation

template<typename T>

UT_Matrix4T< T >::UT_Matrix4T

(

)

[inline]

Construct uninitialized matrix.

Definition at line 78 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T< T >::UT_Matrix4T

(

fpreal64

val

)

[inline, explicit]

Construct identity matrix, multipled by scalar.

Definition at line 82 of file UT_Matrix4.h.

template<typename T>

template<typename S >

UT_Matrix4T< T >::UT_Matrix4T

(

const S

m[4][4]

)

[inline, explicit]

Construct a deep copy of the input row-major data.

Definition at line 92 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T< T >::UT_Matrix4T	(	T	val00,
		T	val01,
		T	val02,
		T	val03,
		T	val10,
		T	val11,
		T	val12,
		T	val13,
		T	val20,
		T	val21,
		T	val22,
		T	val23,
		T	val30,
		T	val31,
		T	val32,
		T	val33
	)			[inline]

This constructor is for convenience; in many situations, it's less efficient than the array-based constructors.

Definition at line 110 of file UT_Matrix4.h.

template<typename T>

template<typename S >

UT_Matrix4T< T >::UT_Matrix4T

(

const UT_Matrix4T< S > &

m

)

[inline, explicit]

Definition at line 128 of file UT_Matrix4.h.

---

Member Function Documentation

template<typename T>

template<typename S >

UT_Matrix4T<T> UT_Matrix4T< T >::changeSpace	(	UT_Vector3T< S > &	iSrc,
		UT_Vector3T< S > &	jSrc,
		UT_Vector3T< S > &	iDest,
		UT_Vector3T< S > &	jDest,
		int	norm = 1
	)			const [inline]

template<typename T>

template<typename S >

void UT_Matrix4T< T >::changeSpace	(	UT_Vector3T< S > &	iSrc,
		UT_Vector3T< S > &	jSrc,
		UT_Vector3T< S > &	iDest,
		UT_Vector3T< S > &	jDest,
		int	norm = 1
	)			[inline]

template<typename T>

T UT_Matrix4T< T >::coFactor	(	int	k,
		int	l
	)			const [inline]

Definition at line 282 of file UT_Matrix4.h.

template<typename T>

T* UT_Matrix4T< T >::data

(

void

)

[inline]

Return the raw matrix data.

Definition at line 694 of file UT_Matrix4.h.

template<typename T>

const T* UT_Matrix4T< T >::data

(

void

)

const [inline]

Return the raw matrix data.

Definition at line 693 of file UT_Matrix4.h.

template<typename T>

T UT_Matrix4T< T >::determinant

(

)

const [inline]

Definition at line 307 of file UT_Matrix4.h.

template<typename T>

T UT_Matrix4T< T >::determinant3

(

)

const [inline]

Compute determinant of the upper-left 3x3 sub-matrix.

Definition at line 315 of file UT_Matrix4.h.

template<typename T>

T UT_Matrix4T< T >::dot	(	unsigned	i,
		unsigned	j
	)			const [inline]

Definition at line 658 of file UT_Matrix4.h.

template<typename T>

static int UT_Matrix4T< T >::entries

(

void

)

[inline, static]

Returns the vector size.

Definition at line 763 of file UT_Matrix4.h.

template<typename T>

int UT_Matrix4T< T >::explode	(	const UT_XformOrder &	order,
		UT_Vector3D &	r,
		UT_Vector3D &	s,
		UT_Vector3D &	t,
		const UT_Vector3D &	p,
		UT_Vector3D *	shears = 0
	)			const [inline]

Definition at line 627 of file UT_Matrix4.h.

template<typename T>

int UT_Matrix4T< T >::explode	(	const UT_XformOrder &	order,
		UT_Vector3F &	r,
		UT_Vector3F &	s,
		UT_Vector3F &	t,
		const UT_Vector3F &	p,
		UT_Vector3F *	shears = 0
	)			const [inline]

Definition at line 622 of file UT_Matrix4.h.

template<typename T>

int UT_Matrix4T< T >::explode	(	const UT_XformOrder &	order,
		UT_Vector3D &	r,
		UT_Vector3D &	s,
		UT_Vector3D &	t,
		UT_Vector3D *	shears = 0
	)			const [inline]

Definition at line 611 of file UT_Matrix4.h.

template<typename T>

int UT_Matrix4T< T >::explode	(	const UT_XformOrder &	order,
		UT_Vector3F &	r,
		UT_Vector3F &	s,
		UT_Vector3F &	t,
		UT_Vector3F *	shears = 0
	)			const [inline]

Definition at line 607 of file UT_Matrix4.h.

template<typename T>

template<typename S >

int UT_Matrix4T< T >::explode2D	(	const UT_XformOrder &	order,
		T &	r,
		UT_Vector2T< S > &	s,
		UT_Vector2T< S > &	t,
		const UT_Vector2T< S > &	p,
		T *	shears = 0
	)			const [inline]

template<typename T>

template<typename S >

int UT_Matrix4T< T >::explode2D	(	const UT_XformOrder &	order,
		T &	r,
		UT_Vector2T< S > &	s,
		UT_Vector2T< S > &	t,
		T *	shears = 0
	)			const [inline]

template<typename T>

template<typename S >

int UT_Matrix4T< T >::explodeT	(	const UT_XformOrder &	order,
		UT_Vector3T< S > &	r,
		UT_Vector3T< S > &	s,
		UT_Vector3T< S > &	t,
		const UT_Vector3T< S > &	p,
		UT_Vector3T< S > *	shears
	)			const [inline]

template<typename T>

template<typename S >

int UT_Matrix4T< T >::explodeT	(	const UT_XformOrder &	order,
		UT_Vector3T< S > &	r,
		UT_Vector3T< S > &	s,
		UT_Vector3T< S > &	t,
		UT_Vector3T< S > *	shears
	)			const [inline]

template<typename T>

template<typename S >

void UT_Matrix4T< T >::extractRotate

(

UT_Matrix3T< S > &

dst

)

const [inline]

template<typename T>

T UT_Matrix4T< T >::getEuclideanNorm

(

)

const [inline]

Euclidean or Frobenius norm of a matrix. Does sqrt(sum(a_ij ^2))

Definition at line 732 of file UT_Matrix4.h.

template<typename T>

T UT_Matrix4T< T >::getEuclideanNorm2

(

)

const

Euclidean norm squared.

template<typename T>

static const UT_Matrix4T<T>& UT_Matrix4T< T >::getIdentityMatrix

(

)

[static]

template<typename T >

template<typename S >

void UT_Matrix4T< T >::getTranslates

(

UT_Vector3T< S > &

translates

)

const [inline]

Definition at line 835 of file UT_Matrix4.h.

template<typename T>

unsigned UT_Matrix4T< T >::hash

(

)

const [inline]

Compute a hash.

Definition at line 698 of file UT_Matrix4.h.

template<typename T>

void UT_Matrix4T< T >::identity

(

)

[inline]

Set the matrix to identity.

Definition at line 671 of file UT_Matrix4.h.

template<typename T>

void UT_Matrix4T< T >::instance	(	const UT_Vector3D &	p,
		const UT_Vector3D &	v,
		T	s,
		const UT_Vector3D *	s3,
		const UT_Vector3D *	up,
		const UT_QuaternionD *	q,
		const UT_Vector3D *	tr,
		const UT_QuaternionD *	orient
	)			[inline]

Definition at line 368 of file UT_Matrix4.h.

template<typename T>

void UT_Matrix4T< T >::instance	(	const UT_Vector3F &	p,
		const UT_Vector3F &	v,
		T	s,
		const UT_Vector3F *	s3,
		const UT_Vector3F *	up,
		const UT_QuaternionF *	q,
		const UT_Vector3F *	tr,
		const UT_QuaternionF *	orient
	)			[inline]

Definition at line 363 of file UT_Matrix4.h.

template<typename T>

template<typename S >

void UT_Matrix4T< T >::instanceT	(	const UT_Vector3T< S > &	p,
		const UT_Vector3T< S > &	v,
		T	s,
		const UT_Vector3T< S > *	s3,
		const UT_Vector3T< S > *	up,
		const UT_QuaternionT< S > *	q,
		const UT_Vector3T< S > *	tr,
		const UT_QuaternionT< S > *	orient
	)			[inline]

template<typename T>

int UT_Matrix4T< T >::invert

(

UT_Matrix4T< T > &

m

)

const

Invert the matrix and return 0 if OK, 1 if singular. Puts the inverted matrix in m, and leaves this matrix unchanged.

template<typename T>

int UT_Matrix4T< T >::invert

(

T

tol = 0.0F

)

Invert this matrix and return 0 if OK, 1 if singular.

template<typename T>

int UT_Matrix4T< T >::invertDouble

(

UT_Matrix4T< T > &

m

)

const

Invert the matrix and return 0 if OK, 1 if singular. Puts the inverted matrix in m, and leaves this matrix unchanged.

template<typename T>

int UT_Matrix4T< T >::invertDouble

(

)

Invert this matrix and return 0 if OK, 1 if singular.

template<typename T>

int UT_Matrix4T< T >::invertKramer

(

UT_Matrix4T< T > &

m

)

const

template<typename T>

int UT_Matrix4T< T >::invertKramer

(

void

)

template<typename T>

unsigned UT_Matrix4T< T >::isEqual	(	const UT_Matrix4T< T > &	m,
		T	tolerance = UT_FTOLERANCE
	)			const [inline]

Definition at line 388 of file UT_Matrix4.h.

template<typename T>

int UT_Matrix4T< T >::isIdentity

(

)

const [inline]

Definition at line 675 of file UT_Matrix4.h.

template<typename T>

void UT_Matrix4T< T >::leftMult

(

const UT_Matrix4T< T > &

m

)

template<typename T>

bool UT_Matrix4T< T >::load

(

UT_JSONParser &

p

)

Methods to serialize to a JSON stream. The matrix is stored as an array of 16 reals.

template<typename T>

bool UT_Matrix4T< T >::load

(

UT_IStream &

is

)

template<typename T>

unsigned UT_Matrix4T< T >::operator!=

(

const UT_Matrix4T< T > &

m

)

const [inline]

Definition at line 231 of file UT_Matrix4.h.

template<typename T>

const T* UT_Matrix4T< T >::operator()

(

unsigned

row

)

const [inline]

Return a matrix row. No bounds checking on subscript.

Definition at line 721 of file UT_Matrix4.h.

template<typename T>

T* UT_Matrix4T< T >::operator()

(

unsigned

row

)

[inline]

Return a matrix row. No bounds checking on subscript.

Definition at line 716 of file UT_Matrix4.h.

template<typename T>

T UT_Matrix4T< T >::operator()	(	unsigned	row,
		unsigned	col
	)			const [inline]

Return a matrix entry. No bounds checking on subscripts.

Definition at line 707 of file UT_Matrix4.h.

template<typename T>

T& UT_Matrix4T< T >::operator()	(	unsigned	row,
		unsigned	col
	)			[inline]

Return a matrix entry. No bounds checking on subscripts.

Definition at line 702 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T>& UT_Matrix4T< T >::operator*=

(

T

scalar

)

[inline]

Definition at line 245 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T>& UT_Matrix4T< T >::operator*=

(

const UT_Matrix4T< T > &

m

)

template<typename T >

template<typename S >

UT_Matrix4T< T > & UT_Matrix4T< T >::operator+=

(

const UT_Vector4T< S > &

vec

)

[inline]

Definition at line 807 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T>& UT_Matrix4T< T >::operator+=

(

const UT_Matrix4T< T > &

m

)

[inline]

Definition at line 181 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::operator-

(

)

const [inline]

Definition at line 172 of file UT_Matrix4.h.

template<typename T >

template<typename S >

UT_Matrix4T< T > & UT_Matrix4T< T >::operator-=

(

const UT_Vector4T< S > &

vec

)

[inline]

Definition at line 821 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T>& UT_Matrix4T< T >::operator-=

(

const UT_Matrix4T< T > &

m

)

[inline]

Definition at line 196 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T>& UT_Matrix4T< T >::operator/=

(

T

scalar

)

[inline]

Definition at line 260 of file UT_Matrix4.h.

template<typename T >

template<typename S >

UT_Matrix4T< T > & UT_Matrix4T< T >::operator=

(

const UT_Vector4T< S > &

vec

)

[inline]

Definition at line 795 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T>& UT_Matrix4T< T >::operator=

(

fpreal64

v

)

[inline]

Definition at line 237 of file UT_Matrix4.h.

template<typename T>

template<typename S >

UT_Matrix4T<T>& UT_Matrix4T< T >::operator=

(

const UT_SymMatrix4T< S > &

m

)

[inline]

Conversion from a symmetric to a non symmetric matrix.

Definition at line 161 of file UT_Matrix4.h.

template<typename T>

template<typename S >

UT_Matrix4T<T>& UT_Matrix4T< T >::operator=

(

const UT_Matrix4T< S > &

m

)

[inline]

Definition at line 146 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T>& UT_Matrix4T< T >::operator=

(

const UT_Matrix3T< fpreal64 > &

m

)

Conversion operator that expands a 3x3 into a 4x4 matrix by adding a row and column of zeroes, except the diagonal element which is 1.

template<typename T>

UT_Matrix4T<T>& UT_Matrix4T< T >::operator=

(

const UT_Matrix3T< fpreal32 > &

m

)

Conversion operator that expands a 3x3 into a 4x4 matrix by adding a row and column of zeroes, except the diagonal element which is 1.

template<typename T>

unsigned UT_Matrix4T< T >::operator==

(

const UT_Matrix4T< T > &

m

)

const [inline]

Definition at line 215 of file UT_Matrix4.h.

template<typename T >

UT_Vector4T< T > UT_Matrix4T< T >::operator[]

(

unsigned

row

)

const [inline]

Return a matrix row. No bounds checking on subscript.

Definition at line 854 of file UT_Matrix4.h.

template<typename T>

void UT_Matrix4T< T >::outAsciiNoName

(

ostream &

os

)

const

template<typename T>

template<typename S >

void UT_Matrix4T< T >::outerproductUpdate	(	T	b,
		const UT_Vector4T< S > &	v1,
		const UT_Vector4T< S > &	v2
	)			[inline]

template<typename T>

void UT_Matrix4T< T >::preMultiply

(

const UT_Matrix4T< T > &

m

)

[inline]

Definition at line 277 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::prerotate	(	T	rx,
		T	ry,
		T	rz,
		const UT_XformOrder &	ord
	)			const

template<typename T>

void UT_Matrix4T< T >::prerotate	(	T	rx,
		T	ry,
		T	rz,
		const UT_XformOrder &	ord
	)

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::prerotate	(	UT_Axis3::axis	a,
		T	theta
	)			const

template<typename T>

void UT_Matrix4T< T >::prerotate	(	UT_Axis3::axis	a,
		T	theta
	)

template<typename T>

template<typename S >

UT_Matrix4T<T> UT_Matrix4T< T >::prerotate	(	UT_Vector3T< S > &	axis,
		T	theta,
		int	norm = 1
	)			const [inline]

template<typename T>

template<typename S >

void UT_Matrix4T< T >::prerotate	(	UT_Vector3T< S > &	axis,
		T	theta,
		int	norm = 1
	)			[inline]

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::prescale	(	T	sx,
		T	sy,
		T	sz,
		T	sw = 1.0f
	)			const

template<typename T>

void UT_Matrix4T< T >::prescale	(	T	sx,
		T	sy,
		T	sz,
		T	sw = 1.0f
	)			[inline]

Definition at line 466 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::pretranslate	(	T	dx,
		T	dy,
		T	dz = 0.0f
	)			const

template<typename T>

void UT_Matrix4T< T >::pretranslate	(	T	dx,
		T	dy,
		T	dz = 0.0f
	)			[inline]

Definition at line 514 of file UT_Matrix4.h.

template<typename T>

void UT_Matrix4T< T >::rotate	(	const UT_XformOrder &	order,
		applyType	type,
		char	limit,
		T	rx,
		T	ry,
		T	rz
	)

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::rotate	(	T	rx,
		T	ry,
		T	rz,
		const UT_XformOrder &	ord
	)			const

template<typename T>

void UT_Matrix4T< T >::rotate	(	T	rx,
		T	ry,
		T	rz,
		const UT_XformOrder &	ord
	)

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::rotate	(	UT_Axis3::axis	a,
		T	theta
	)			const

template<typename T>

void UT_Matrix4T< T >::rotate	(	UT_Axis3::axis	a,
		T	theta
	)

template<typename T>

template<typename S >

UT_Matrix4T<T> UT_Matrix4T< T >::rotate	(	UT_Vector3T< S > &	axis,
		T	theta,
		int	norm = 1
	)			const [inline]

template<typename T>

template<typename S >

void UT_Matrix4T< T >::rotate	(	UT_Vector3T< S > &	axis,
		T	theta,
		int	norm = 1
	)			[inline]

template<typename T>

static UT_Matrix4T<T> UT_Matrix4T< T >::rotationMat	(	UT_Axis3::axis	a,
		T	theta
	)			[static]

template<typename T>

template<typename S >

static UT_Matrix4T<T> UT_Matrix4T< T >::rotationMat	(	UT_Vector3T< S > &	axis,
		T	theta,
		int	norm = 1
	)			[inline, static]

template<typename T>

bool UT_Matrix4T< T >::save

(

UT_JSONValue &

v

)

const

Methods to serialize to a JSON stream. The matrix is stored as an array of 16 reals.

template<typename T>

bool UT_Matrix4T< T >::save

(

UT_JSONWriter &

w

)

const

Methods to serialize to a JSON stream. The matrix is stored as an array of 16 reals.

template<typename T>

int UT_Matrix4T< T >::save	(	ostream &	os,
		int	binary
	)			const

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::scale	(	T	sx,
		T	sy,
		T	sz,
		T	sw = 1.0f
	)			const

template<typename T>

void UT_Matrix4T< T >::scale	(	T	sx,
		T	sy,
		T	sz,
		T	sw = 1.0f
	)			[inline]

Definition at line 449 of file UT_Matrix4.h.

template<typename T >

template<typename S >

void UT_Matrix4T< T >::setTranslates

(

const UT_Vector3T< S > &

translates

)

[inline]

Definition at line 845 of file UT_Matrix4.h.

template<typename T>

void UT_Matrix4T< T >::shear	(	T	s_xy,
		T	s_xz,
		T	s_yz
	)			[inline]

Definition at line 483 of file UT_Matrix4.h.

template<typename T>

template<typename S >

UT_Matrix4T<T> UT_Matrix4T< T >::stretch	(	UT_Vector3T< S > &	v,
		T	amount,
		int	norm = 1
	)			const [inline]

template<typename T>

template<typename S >

void UT_Matrix4T< T >::stretch	(	UT_Vector3T< S > &	v,
		T	amount,
		int	norm = 1
	)			[inline]

template<typename T>

T UT_Matrix4T< T >::trace

(

)

const [inline]

Definition at line 325 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::translate	(	T	dx,
		T	dy,
		T	dz = 0.0f
	)			const

template<typename T>

void UT_Matrix4T< T >::translate	(	T	dx,
		T	dy,
		T	dz = 0.0f
	)			[inline]

Definition at line 499 of file UT_Matrix4.h.

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::transpose

(

void

)

const

template<typename T>

void UT_Matrix4T< T >::transpose

(

void

)

[inline]

Definition at line 375 of file UT_Matrix4.h.

template<typename T>

void UT_Matrix4T< T >::xform	(	const UT_XformOrder &	order,
		applyType	type,
		char	limit,
		T	tx,
		T	ty,
		T	tz,
		T	rx,
		T	ry,
		T	rz,
		T	sx,
		T	sy,
		T	sz,
		T	px,
		T	py,
		T	pz
	)

template<typename T>

void UT_Matrix4T< T >::xform	(	const UT_XformOrder &	order,
		T	tx,
		T	ty,
		T	tz,
		T	rx,
		T	ry,
		T	rz,
		T	sx,
		T	sy,
		T	sz,
		T	s_xy,
		T	s_xz,
		T	s_yz,
		T	px,
		T	py,
		T	pz,
		int	reverse = 0
	)

template<typename T>

UT_Matrix4T<T> UT_Matrix4T< T >::xform	(	const UT_XformOrder &	order,
		T	tx = 0.0f,
		T	ty = 0.0f,
		T	tz = 0.0f,
		T	rx = 0.0f,
		T	ry = 0.0f,
		T	rz = 0.0f,
		T	sx = 1.0f,
		T	sy = 1.0f,
		T	sz = 1.0f,
		T	px = 0.0f,
		T	py = 0.0f,
		T	pz = 0.0f,
		int	reverse = 0
	)			const

template<typename T>

void UT_Matrix4T< T >::xform	(	const UT_XformOrder &	order,
		T	tx = 0.0f,
		T	ty = 0.0f,
		T	tz = 0.0f,
		T	rx = 0.0f,
		T	ry = 0.0f,
		T	rz = 0.0f,
		T	sx = 1.0f,
		T	sy = 1.0f,
		T	sz = 1.0f,
		T	px = 0.0f,
		T	py = 0.0f,
		T	pz = 0.0f,
		int	reverse = 0
	)

template<typename T>

void UT_Matrix4T< T >::zero

(

)

[inline]

Set the matrix to zero.

Definition at line 673 of file UT_Matrix4.h.

---

Friends And Related Function Documentation

template<typename T>

ostream& operator<<	(	ostream &	os,
		const UT_Matrix4T< T > &	v
	)			[friend]

Definition at line 755 of file UT_Matrix4.h.

---

Member Data Documentation

union { ... }

template<typename T>

T UT_Matrix4T< T >::matx[4][4]

Definition at line 768 of file UT_Matrix4.h.

template<typename T>

T UT_Matrix4T< T >::myFloats[16]

Definition at line 769 of file UT_Matrix4.h.

---

The documentation for this class was generated from the following file:

• UT/UT_Matrix4.h