4x4 -matrix class. More...

#include <Mat3.h>

Inheritance diagram for openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >:

Public Types
using	value_type = T
	Data type held by the matrix. More...

using	ValueType = T

using	MyBase = Mat< 4, T >

Public Types inherited from openvdb::OPENVDB_VERSION_NAME::math::Mat< 4, T >
enum	SIZE_

using	value_type = T

using	ValueType = T

Public Member Functions
	Mat4 ()
	Trivial constructor, the matrix is NOT initialized. More...

	Mat4 (const Mat< 4, T > &m)
	Copy constructor. More...

template<typename Source >
	Mat4 (Source *a)
	Constructor given array of elements, the ordering is in row major form: More...

template<typename Source >
	Mat4 (Source a, Source b, Source c, Source d, Source e, Source f, Source g, Source h, Source i, Source j, Source k, Source l, Source m, Source n, Source o, Source p)
	Constructor given array of elements, the ordering is in row major form: More...

template<typename Source >
	Mat4 (const Vec4< Source > &v1, const Vec4< Source > &v2, const Vec4< Source > &v3, const Vec4< Source > &v4, bool rows=true)

template<typename Source >
	Mat4 (const Mat4< Source > &m)
	Conversion constructor. More...

void	setRow (int i, const Vec4< T > &v)
	Set ith row to vector v. More...

Vec4< T >	row (int i) const
	Get ith row, e.g. Vec4f v = m.row(1);. More...

void	setCol (int j, const Vec4< T > &v)
	Set jth column to vector v. More...

Vec4< T >	col (int j) const
	Get jth column, e.g. Vec4f v = m.col(0);. More...

T &	operator() (int i, int j)

T	operator() (int i, int j) const

void	setRows (const Vec4< T > &v1, const Vec4< T > &v2, const Vec4< T > &v3, const Vec4< T > &v4)
	Set the rows of this matrix to the vectors v1, v2, v3, v4. More...

void	setColumns (const Vec4< T > &v1, const Vec4< T > &v2, const Vec4< T > &v3, const Vec4< T > &v4)
	Set the columns of this matrix to the vectors v1, v2, v3, v4. More...

void	setZero ()

void	setIdentity ()
	Set this matrix to identity. More...

void	setMat3 (const Mat3< T > &m)
	Set upper left to a Mat3. More...

Mat3< T >	getMat3 () const

Vec3< T >	getTranslation () const
	Return the translation component. More...

void	setTranslation (const Vec3< T > &t)

template<typename Source >
const Mat4 &	operator= (const Mat4< Source > &m)
	Assignment operator. More...

bool	eq (const Mat4 &m, T eps=1.0e-8) const
	Return `true` if this matrix is equivalent to m within a tolerance of eps. More...

Mat4< T >	operator- () const
	Negation operator, for e.g. m1 = -m2;. More...

template<typename S >
const Mat4< T > &	operator*= (S scalar)
	Multiply each element of this matrix by scalar. More...

template<typename S >
const Mat4< T > &	operator+= (const Mat4< S > &m1)
	Add each element of the given matrix to the corresponding element of this matrix. More...

template<typename S >
const Mat4< T > &	operator-= (const Mat4< S > &m1)
	Subtract each element of the given matrix from the corresponding element of this matrix. More...

template<typename S >
const Mat4< T > &	operator*= (const Mat4< S > &m1)
	Multiply this matrix by the given matrix. More...

Mat4	transpose () const

Mat4	inverse (T tolerance=0) const

T	det () const
	Determinant of matrix. More...

template<typename T0 >
void	setToTranslation (const Vec3< T0 > &v)
	Sets the matrix to a matrix that translates by v. More...

template<typename T0 >
void	preTranslate (const Vec3< T0 > &tr)
	Left multiples by the specified translation, i.e. Trans * (*this) More...

template<typename T0 >
void	postTranslate (const Vec3< T0 > &tr)
	Right multiplies by the specified translation matrix, i.e. (this) Trans. More...

template<typename T0 >
void	setToScale (const Vec3< T0 > &v)
	Sets the matrix to a matrix that scales by v. More...

template<typename T0 >
void	preScale (const Vec3< T0 > &v)

template<typename T0 >
void	postScale (const Vec3< T0 > &v)

void	setToRotation (Axis axis, T angle)
	Sets the matrix to a rotation about the given axis. More...

void	setToRotation (const Vec3< T > &axis, T angle)
	Sets the matrix to a rotation about an arbitrary axis. More...

void	setToRotation (const Vec3< T > &v1, const Vec3< T > &v2)
	Sets the matrix to a rotation that maps v1 onto v2 about the cross product of v1 and v2. More...

void	preRotate (Axis axis, T angle)
	Left multiplies by a rotation clock-wiseabout the given axis into this matrix. More...

void	postRotate (Axis axis, T angle)
	Right multiplies by a rotation clock-wiseabout the given axis into this matrix. More...

void	setToShear (Axis axis0, Axis axis1, T shearby)
	Sets the matrix to a shear along axis0 by a fraction of axis1. More...

void	preShear (Axis axis0, Axis axis1, T shear)
	Left multiplies a shearing transformation into the matrix. More...

void	postShear (Axis axis0, Axis axis1, T shear)
	Right multiplies a shearing transformation into the matrix. More...

template<typename T0 >
Vec4< T0 >	transform (const Vec4< T0 > &v) const
	Transform a Vec4 by post-multiplication. More...

template<typename T0 >
Vec3< T0 >	transform (const Vec3< T0 > &v) const
	Transform a Vec3 by post-multiplication, without homogenous division. More...

template<typename T0 >
Vec4< T0 >	pretransform (const Vec4< T0 > &v) const
	Transform a Vec4 by pre-multiplication. More...

template<typename T0 >
Vec3< T0 >	pretransform (const Vec3< T0 > &v) const
	Transform a Vec3 by pre-multiplication, without homogenous division. More...

template<typename T0 >
Vec3< T0 >	transformH (const Vec3< T0 > &p) const
	Transform a Vec3 by post-multiplication, doing homogenous divison. More...

template<typename T0 >
Vec3< T0 >	pretransformH (const Vec3< T0 > &p) const
	Transform a Vec3 by pre-multiplication, doing homogenous division. More...

template<typename T0 >
Vec3< T0 >	transform3x3 (const Vec3< T0 > &v) const
	Transform a Vec3 by post-multiplication, without translation. More...

Public Member Functions inherited from openvdb::OPENVDB_VERSION_NAME::math::Mat< 4, T >
	Mat ()

	Mat (Mat const &src)
	Copy constructor. Used when the class signature matches exactly. More...

Mat &	operator= (Mat const &src)

std::string	str (unsigned indentation=0) const

T *	asPointer ()
	Direct access to the internal data. More...

const T *	asPointer () const

void	write (std::ostream &os) const

void	read (std::istream &is)

T	absMax () const
	Return the maximum of the absolute of all elements in this matrix. More...

bool	isNan () const
	True if a Nan is present in this matrix. More...

bool	isInfinite () const
	True if an Inf is present in this matrix. More...

bool	isFinite () const
	True if no Nan or Inf values are present. More...

bool	isZero () const
	True if all elements are exactly zero. More...

T *	operator[] (int i)
	Array style reference to ith row. More...

const T *	operator[] (int i) const
	Array style reference to ith row. More...

Static Public Member Functions
static const Mat4< T > &	identity ()
	Predefined constant for identity matrix. More...

static const Mat4< T > &	zero ()
	Predefined constant for zero matrix. More...

static Mat4	translation (const Vec3d &v)
	Sets the matrix to a matrix that translates by v. More...

Static Public Member Functions inherited from openvdb::OPENVDB_VERSION_NAME::math::Mat< 4, T >
static unsigned	numRows ()

static unsigned	numColumns ()

static unsigned	numElements ()

Related Functions
(Note that these are not member functions.)
template<typename T0 , typename T1 >
bool	operator== (const Mat4< T0 > &m0, const Mat4< T1 > &m1)
	Equality operator, does exact floating point comparisons. More...

template<typename T0 , typename T1 >
bool	operator!= (const Mat4< T0 > &m0, const Mat4< T1 > &m1)
	Inequality operator, does exact floating point comparisons. More...

template<typename S , typename T >
Mat4< typename promote< S, T > ::type >	operator* (S scalar, const Mat4< T > &m)
	Multiply each element of the given matrix by scalar and return the result. More...

template<typename S , typename T >
Mat4< typename promote< S, T > ::type >	operator* (const Mat4< T > &m, S scalar)
	Multiply each element of the given matrix by scalar and return the result. More...

template<typename T , typename MT >
Vec4< typename promote< T, MT > ::type >	operator* (const Mat4< MT > &_m, const Vec4< T > &_v)
	Multiply _m by _v and return the resulting vector. More...

template<typename T , typename MT >
Vec4< typename promote< T, MT > ::type >	operator* (const Vec4< T > &_v, const Mat4< MT > &_m)
	Multiply _v by _m and return the resulting vector. More...

template<typename T , typename MT >
Vec3< typename promote< T, MT > ::type >	operator* (const Mat4< MT > &_m, const Vec3< T > &_v)
	Multiply _m by _v and return the resulting vector. More...

template<typename T , typename MT >
Vec3< typename promote< T, MT > ::type >	operator* (const Vec3< T > &_v, const Mat4< MT > &_m)
	Multiply _v by _m and return the resulting vector. More...

template<typename T0 , typename T1 >
Mat4< typename promote< T0, T1 > ::type >	operator+ (const Mat4< T0 > &m0, const Mat4< T1 > &m1)
	Add corresponding elements of m0 and m1 and return the result. More...

template<typename T0 , typename T1 >
Mat4< typename promote< T0, T1 > ::type >	operator- (const Mat4< T0 > &m0, const Mat4< T1 > &m1)
	Subtract corresponding elements of m0 and m1 and return the result. More...

template<typename T0 , typename T1 >
Mat4< typename promote< T0, T1 > ::type >	operator* (const Mat4< T0 > &m0, const Mat4< T1 > &m1)
	Multiply m0 by m1 and return the resulting matrix. More...

Additional Inherited Members
Protected Attributes inherited from openvdb::OPENVDB_VERSION_NAME::math::Mat< 4, T >
T	mm [SIZE *SIZE]

Detailed Description

template<typename T>
class openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >

4x4 -matrix class.

Definition at line 22 of file Mat3.h.

Member Typedef Documentation

template<typename T>

using openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::MyBase = Mat<4, T>

Definition at line 36 of file Mat4.h.

template<typename T>

using openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::value_type = T

Data type held by the matrix.

Definition at line 34 of file Mat4.h.

template<typename T>

using openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::ValueType = T

Definition at line 35 of file Mat4.h.

Constructor & Destructor Documentation

template<typename T>

openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::Mat4 ( )

inline

Trivial constructor, the matrix is NOT initialized.

Definition at line 44 of file Mat4.h.

template<typename T>

openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::Mat4 ( const Mat< 4, T > & m )

inline

Copy constructor.

Definition at line 47 of file Mat4.h.

template<typename T>

template<typename Source >

openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::Mat4 ( Source * a )

inline

Constructor given array of elements, the ordering is in row major form:

a[ 0] a[1]  a[ 2] a[ 3]
a[ 4] a[5]  a[ 6] a[ 7]
a[ 8] a[9]  a[10] a[11]
a[12] a[13] a[14] a[15]

Definition at line 65 of file Mat4.h.

template<typename T>

template<typename Source >

openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::Mat4	(	Source	a,
		Source	b,
		Source	c,
		Source	d,
		Source	e,
		Source	f,
		Source	g,
		Source	h,
		Source	i,
		Source	j,
		Source	k,
		Source	l,
		Source	m,
		Source	n,
		Source	o,
		Source	p
	)

inline

Constructor given array of elements, the ordering is in row major form:

a b c d
e f g h
i j k l
m n o p

Definition at line 80 of file Mat4.h.

template<typename T>

template<typename Source >

openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::Mat4	(	const Vec4< Source > &	v1,
		const Vec4< Source > &	v2,
		const Vec4< Source > &	v3,
		const Vec4< Source > &	v4,
		bool	rows = `true`
	)

inline

Construct matrix from rows or columns vectors (defaults to rows for historical reasons)

Definition at line 109 of file Mat4.h.

template<typename T>

template<typename Source >

openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::Mat4 ( const Mat4< Source > & m )

inlineexplicit

Conversion constructor.

Definition at line 121 of file Mat4.h.

Member Function Documentation

template<typename T>

Vec4<T> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::col ( int j ) const

inline

Get jth column, e.g. Vec4f v = m.col(0);.

Definition at line 181 of file Mat4.h.

template<typename T>

T openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::det ( ) const

inline

Determinant of matrix.

Definition at line 651 of file Mat4.h.

template<typename T>

bool openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::eq	(	const Mat4< T > &	m,
		T	eps = `1.0e-8`
	)		const

inline

Return true if this matrix is equivalent to m within a tolerance of eps.

Definition at line 347 of file Mat4.h.

template<typename T>

Mat3<T> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::getMat3 ( ) const

inline

Definition at line 311 of file Mat4.h.

template<typename T>

Vec3<T> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::getTranslation ( ) const

inline

Return the translation component.

Definition at line 323 of file Mat4.h.

template<typename T>

static const Mat4<T>& openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::identity ( )

inlinestatic

Predefined constant for identity matrix.

Definition at line 131 of file Mat4.h.

template<typename T>

Mat4 openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::inverse ( T tolerance = 0 ) const

inline

Returns: inverse of this

Exceptions

ArithmeticError if singular

Definition at line 499 of file Mat4.h.

template<typename T>

T& openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::operator()	(	int	i,
		int	j
	)

inline

Alternative indexed reference to the elements Note that the indices are row first and column second. e.g. m(0,0) = 1;

Definition at line 190 of file Mat4.h.

template<typename T>

T openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::operator()	(	int	i,
		int	j
	)		const

inline

Alternative indexed constant reference to the elements, Note that the indices are row first and column second. e.g. float f = m(1,0);

Definition at line 200 of file Mat4.h.

template<typename T>

template<typename S >

const Mat4<T>& openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::operator*= ( S scalar )

inline

Multiply each element of this matrix by scalar.

Definition at line 369 of file Mat4.h.

template<typename T>

template<typename S >

const Mat4<T>& openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::operator*= ( const Mat4< S > & m1 )

inline

Multiply this matrix by the given matrix.

Definition at line 453 of file Mat4.h.

template<typename T>

template<typename S >

const Mat4<T>& openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::operator+= ( const Mat4< S > & m1 )

inline

Add each element of the given matrix to the corresponding element of this matrix.

Definition at line 395 of file Mat4.h.

template<typename T>

Mat4<T> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::operator- ( ) const

inline

Negation operator, for e.g. m1 = -m2;.

Definition at line 357 of file Mat4.h.

template<typename T>

template<typename S >

const Mat4<T>& openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::operator-= ( const Mat4< S > & m1 )

inline

Subtract each element of the given matrix from the corresponding element of this matrix.

Definition at line 424 of file Mat4.h.

template<typename T>

template<typename Source >

const Mat4& openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::operator= ( const Mat4< Source > & m )

inline

Assignment operator.

Definition at line 337 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::postRotate	(	Axis	axis,
		T	angle
	)

inline

Right multiplies by a rotation clock-wiseabout the given axis into this matrix.

Parameters

axis	The axis (one of X, Y, Z) of rotation.
angle	The clock-wise rotation angle, in radians.

Definition at line 892 of file Mat4.h.

template<typename T>

template<typename T0 >

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::postScale ( const Vec3< T0 > & v )

inline

Definition at line 772 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::postShear	(	Axis	axis0,
		Axis	axis1,
		T	shear
	)

inline

Right multiplies a shearing transformation into the matrix.

See Also: setToShear

Definition at line 997 of file Mat4.h.

template<typename T>

template<typename T0 >

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::postTranslate ( const Vec3< T0 > & tr )

inline

Right multiplies by the specified translation matrix, i.e. (*this) * Trans.

Definition at line 728 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::preRotate	(	Axis	axis,
		T	angle
	)

inline

Left multiplies by a rotation clock-wiseabout the given axis into this matrix.

Parameters

axis	The axis (one of X, Y, Z) of rotation.
angle	The clock-wise rotation angle, in radians.

Definition at line 812 of file Mat4.h.

template<typename T>

template<typename T0 >

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::preScale ( const Vec3< T0 > & v )

inline

Definition at line 750 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::preShear	(	Axis	axis0,
		Axis	axis1,
		T	shear
	)

inline

Left multiplies a shearing transformation into the matrix.

See Also: setToShear

Definition at line 982 of file Mat4.h.

template<typename T>

template<typename T0 >

Vec4<T0> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::pretransform ( const Vec4< T0 > & v ) const

inline

Transform a Vec4 by pre-multiplication.

Definition at line 1026 of file Mat4.h.

template<typename T>

template<typename T0 >

Vec3<T0> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::pretransform ( const Vec3< T0 > & v ) const

inline

Transform a Vec3 by pre-multiplication, without homogenous division.

Definition at line 1033 of file Mat4.h.

template<typename T>

template<typename T0 >

Vec3<T0> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::pretransformH ( const Vec3< T0 > & p ) const

inline

Transform a Vec3 by pre-multiplication, doing homogenous division.

Definition at line 1062 of file Mat4.h.

template<typename T>

template<typename T0 >

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::preTranslate ( const Vec3< T0 > & tr )

inline

Left multiples by the specified translation, i.e. Trans * (*this)

Definition at line 717 of file Mat4.h.

template<typename T>

Vec4<T> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::row ( int i ) const

inline

Get ith row, e.g. Vec4f v = m.row(1);.

Definition at line 164 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setCol	(	int	j,
		const Vec4< T > &	v
	)

inline

Set jth column to vector v.

Definition at line 171 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setColumns	(	const Vec4< T > &	v1,
		const Vec4< T > &	v2,
		const Vec4< T > &	v3,
		const Vec4< T > &	v4
	)

inline

Set the columns of this matrix to the vectors v1, v2, v3, v4.

Definition at line 233 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setIdentity ( )

inline

Set this matrix to identity.

Definition at line 279 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setMat3 ( const Mat3< T > & m )

inline

Set upper left to a Mat3.

Definition at line 304 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setRow	(	int	i,
		const Vec4< T > &	v
	)

inline

Set ith row to vector v.

Definition at line 153 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setRows	(	const Vec4< T > &	v1,
		const Vec4< T > &	v2,
		const Vec4< T > &	v3,
		const Vec4< T > &	v4
	)

inline

Set the rows of this matrix to the vectors v1, v2, v3, v4.

Definition at line 208 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setToRotation	(	Axis	axis,
		T	angle
	)

inline

Sets the matrix to a rotation about the given axis.

Parameters

axis	The axis (one of X, Y, Z) to rotate about.
angle	The rotation angle, in radians.

Definition at line 797 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setToRotation	(	const Vec3< T > &	axis,
		T	angle
	)

inline

Sets the matrix to a rotation about an arbitrary axis.

Parameters

axis	The axis of rotation (cannot be zero-length)
angle	The rotation angle, in radians.

Definition at line 802 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setToRotation	(	const Vec3< T > &	v1,
		const Vec3< T > &	v2
	)

inline

Sets the matrix to a rotation that maps v1 onto v2 about the cross product of v1 and v2.

Definition at line 806 of file Mat4.h.

template<typename T>

template<typename T0 >

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setToScale ( const Vec3< T0 > & v )

inline

Sets the matrix to a matrix that scales by v.

Definition at line 740 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setToShear	(	Axis	axis0,
		Axis	axis1,
		T	shearby
	)

inline

Sets the matrix to a shear along axis0 by a fraction of axis1.

Parameters

axis0	The fixed axis of the shear.
axis1	The shear axis.
shearby	The shear factor.

Definition at line 974 of file Mat4.h.

template<typename T>

template<typename T0 >

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setToTranslation ( const Vec3< T0 > & v )

inline

Sets the matrix to a matrix that translates by v.

Definition at line 692 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setTranslation ( const Vec3< T > & t )

inline

Definition at line 328 of file Mat4.h.

template<typename T>

void openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::setZero ( )

inline

Definition at line 258 of file Mat4.h.

template<typename T>

template<typename T0 >

Vec4<T0> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::transform ( const Vec4< T0 > & v ) const

inline

Transform a Vec4 by post-multiplication.

Definition at line 1012 of file Mat4.h.

template<typename T>

template<typename T0 >

Vec3<T0> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::transform ( const Vec3< T0 > & v ) const

inline

Transform a Vec3 by post-multiplication, without homogenous division.

Definition at line 1019 of file Mat4.h.

template<typename T>

template<typename T0 >

Vec3<T0> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::transform3x3 ( const Vec3< T0 > & v ) const

inline

Transform a Vec3 by post-multiplication, without translation.

Definition at line 1083 of file Mat4.h.

template<typename T>

template<typename T0 >

Vec3<T0> openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::transformH ( const Vec3< T0 > & p ) const

inline

Transform a Vec3 by post-multiplication, doing homogenous divison.

Definition at line 1040 of file Mat4.h.

template<typename T>

static Mat4 openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::translation ( const Vec3d & v )

inlinestatic

Sets the matrix to a matrix that translates by v.

Definition at line 681 of file Mat4.h.

template<typename T>

Mat4 openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::transpose ( ) const

inline

Returns: transpose of this

Definition at line 486 of file Mat4.h.

template<typename T>

static const Mat4<T>& openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >::zero ( )

inlinestatic

Predefined constant for zero matrix.

Definition at line 142 of file Mat4.h.

Friends And Related Function Documentation

template<typename T0 , typename T1 >

bool operator!=	(	const Mat4< T0 > &	m0,
		const Mat4< T1 > &	m1
	)

Definition at line 1126 of file Mat4.h.

template<typename S , typename T >

Mat4< typename promote< S, T >::type > operator*	(	S	scalar,
		const Mat4< T > &	m
	)

Definition at line 1131 of file Mat4.h.

template<typename S , typename T >

Mat4< typename promote< S, T >::type > operator*	(	const Mat4< T > &	m,
		S	scalar
	)

Definition at line 1139 of file Mat4.h.

template<typename T , typename MT >

Vec4< typename promote< T, MT >::type > operator*	(	const Mat4< MT > &	_m,
		const Vec4< T > &	_v
	)

Definition at line 1150 of file Mat4.h.

template<typename T , typename MT >

Vec4< typename promote< T, MT >::type > operator*	(	const Vec4< T > &	_v,
		const Mat4< MT > &	_m
	)

Definition at line 1165 of file Mat4.h.

template<typename T , typename MT >

Vec3< typename promote< T, MT >::type > operator*	(	const Mat4< MT > &	_m,
		const Vec3< T > &	_v
	)

Definition at line 1180 of file Mat4.h.

template<typename T , typename MT >

Vec3< typename promote< T, MT >::type > operator*	(	const Vec3< T > &	_v,
		const Mat4< MT > &	_m
	)

Definition at line 1193 of file Mat4.h.

template<typename T0 , typename T1 >

Mat4< typename promote< T0, T1 >::type > operator*	(	const Mat4< T0 > &	m0,
		const Mat4< T1 > &	m1
	)

Definition at line 1228 of file Mat4.h.

template<typename T0 , typename T1 >

Mat4< typename promote< T0, T1 >::type > operator+	(	const Mat4< T0 > &	m0,
		const Mat4< T1 > &	m1
	)

Definition at line 1206 of file Mat4.h.

template<typename T0 , typename T1 >

Mat4< typename promote< T0, T1 >::type > operator-	(	const Mat4< T0 > &	m0,
		const Mat4< T1 > &	m1
	)

Definition at line 1217 of file Mat4.h.

template<typename T0 , typename T1 >

bool operator==	(	const Mat4< T0 > &	m0,
		const Mat4< T1 > &	m1
	)

Definition at line 1114 of file Mat4.h.

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

openvdb/math/Mat3.h
openvdb/math/Mat4.h

Public Types

Public Member Functions

Static Public Member Functions

Related Functions

Additional Inherited Members

Detailed Description

template<typename T> class openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

template<typename T>
class openvdb::OPENVDB_VERSION_NAME::math::Mat4< T >