#include <Matrix.hpp>

Public Types
typedef T	value_type

typedef T &	reference_type

typedef T *	pointer_type

typedef T *	iterator

Public Member Functions
CU_HOST_DEVICE	Matrix (void)
	Create a matrix filled with 0s. More...

template<typename T1 >
CU_HOST_DEVICE	Matrix (const Matrix< nRows, nCols, T1 > &mat)
	Copy a matrix. More...

template<typename T1 >
CU_HOST_DEVICE	Matrix (const Vector< nCols, T1 > *vecs)
	Fill the matrix with the array of vectors. More...

template<typename T1 >
CU_HOST_DEVICE	Matrix (const Vector< nCols, T1 > &r0, const Vector< nCols, T1 > &r1, const Vector< nCols, T1 > &r2)
	Initialize a 3 row matrix. More...

template<typename T1 >
CU_HOST_DEVICE	Matrix (const T1 *values)
	Fill in the matrix with the `values`. More...

CU_HOST_DEVICE	Matrix (const T *values)
	Fill in the matrix with the `values`. More...

CU_HOST_DEVICE	Matrix (const T &value)
	Create a diagonal matrix. More...

const CU_HOST_DEVICE T *	c_data () const
	Returns a constant raw pointer on the data. More...

CU_HOST_DEVICE T *	data ()
	Returns a raw pointer on the data. More...

CU_HOST_DEVICE Matrix	operator- (void) const
	Matrix subtraction. More...

CU_HOST_DEVICE Matrix	operator+ (const Matrix &mat) const
	Matrix addition. More...

CU_HOST_DEVICE Matrix	operator- (const Matrix &mat) const

CU_HOST_DEVICE Matrix	operator* (const T &scalar) const
	Matrix-scalar multiplication. More...

CU_HOST_DEVICE Matrix	operator/ (const T &scalar) const
	Matrix-scalar division. More...

CU_HOST_DEVICE Vector< nRows, T >	operator* (const Vector< nCols, T > &vec) const
	Matrix*Column Vector. More...

CU_HOST_DEVICE Matrix &	operator= (const Matrix &mat)

CU_HOST_DEVICE Matrix &	operator+= (const Matrix &mat)

CU_HOST_DEVICE Matrix &	operator-= (const Matrix &mat)

CU_HOST_DEVICE Matrix &	operator*= (const T &scalar)

CU_HOST_DEVICE Matrix &	operator/= (const T &scalar)

CU_HOST_DEVICE Matrix &	operator*= (const Matrix &mat)

CU_HOST_DEVICE bool	operator== (const Matrix &mat) const
	Element-wise equality. More...

CU_HOST_DEVICE bool	operator!= (const Matrix &mat) const
	Element-wise inequality. More...

CU_HOST_DEVICE bool	operator< (const Matrix &other) const
	Comparison operator. More...

CU_HOST_DEVICE Vector< nCols, T > &	operator[] (size_t idx)
	Returns the nth row. More...

CU_HOST_DEVICE Vector< nCols, T >	operator[] (size_t idx) const
	Returns the nth row. More...

CU_HOST_DEVICE T &	operator() (size_t i, size_t j)
	Return the value at row `i`, column `j`. More...

CU_HOST_DEVICE T	operator() (size_t i, size_t j) const
	Return the value at row `i`, column `j`. More...

CU_HOST_DEVICE Matrix &	zero (void)
	Set the matrix to all zero. More...

CU_HOST_DEVICE Matrix &	operator= (const T &value)
	Set the matrix to a diagonal matrix. More...

CU_HOST_DEVICE Matrix< nCols, nRows, T >	operator~ ()
	Transpose the matrix. More...

CU_HOST_DEVICE T	trace () const
	Trace of the matrix. More...

CU_HOST_DEVICE void	fillArray (T *array)

CU_HOST_DEVICE Vector< nRows, T >	diag () const
	Return the diagonal vector, if the matrix is square. More...

Static Public Member Functions
static CU_HOST_DEVICE Vector< 2, size_t >	size ()
	Returns the size of the matrix. More...

static CU_HOST_DEVICE size_t	nbRows ()
	Returns the number of rows of the matrix. More...

static CU_HOST_DEVICE size_t	nbColumns ()
	Returns the number of columns of the matrix. More...

static CU_HOST_DEVICE Matrix	identity ()
	Returns an identity matrix. More...

static CU_HOST_DEVICE Matrix< 3, 3, T >	rotation (const Vector< 3, T > &direction, T angle)
	Creates the 3x3 matrix corresponding to a rotation. More...

static CU_HOST_DEVICE Matrix< 4, 4, T >	rotation (const Vector< 4, T > &direction, T angle)
	Creates the 4x4 matrix corresponding to a rotation. More...

Public Attributes
const typedef T &	const_reference_type

const typedef T *	const_pointer_type

const typedef T *	const_iterator

Static Public Attributes
static const size_t	numcols

static const size_t	numrows

Friends
CU_HOST_DEVICE friend Matrix	operator* (const T &scalar, const Matrix &mat)
	Matrix-scalar multiplication. More...

QTextStream &	operator<< (QTextStream &out, const Matrix &mat)

QTextStream &	operator>> (QTextStream &in, Matrix &mat)

CU_HOST_DEVICE friend std::ostream &	operator<< (std::ostream &out, const Matrix &mat)

CU_HOST_DEVICE friend std::istream &	operator>> (std::istream &in, Matrix &mat)

Related Functions
(Note that these are not member functions.)
template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE Vector< nCols, T >	operator* (const Vector< nCols, T > &vec, const Matrix< nRows, nCols, T > &mat)
	Row-Vector - Matrix multipliation. More...

template<size_t nRows, size_t nSize, size_t nCols, typename T >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	operator* (const Matrix< nRows, nSize, T > &mat1, const Matrix< nSize, nCols, T > &mat2)
	Matrix multiplication. More...

template<typename T >
T CU_HOST_DEVICE	det (const Matrix< 1, 1, T > &mat)
	Determinant of the matrix. More...

template<typename T >
T CU_HOST_DEVICE	det (const Matrix< 2, 2, T > &mat)
	Determinant of the matrix. More...

template<typename T >
T CU_HOST_DEVICE	det (const Matrix< 3, 3, T > &mat)
	Determinant of the matrix. More...

template<size_t nRows, typename T >
T CU_HOST_DEVICE	det (const Matrix< nRows, nRows, T > &mat)
	Determinant of the matrix. More...

template<size_t nRows, typename T >
CU_HOST_DEVICE T	cofactor (const Matrix< nRows, nRows, T > &mat, size_t i, size_t j)
	Returns the cofactor of the matrix for position (i,j) More...

template<typename T >
CU_HOST_DEVICE Matrix< 1, 1, T >	inverse (const Matrix< 1, 1, T > &mat)
	Inverse the matrix. More...

template<typename T >
CU_HOST_DEVICE Matrix< 2, 2, T >	inverse (const Matrix< 2, 2, T > &mat)
	Inverse the matrix. More...

template<typename T >
CU_HOST_DEVICE Matrix< 3, 3, T >	inverse (const Matrix< 3, 3, T > &mat)
	Inverse the matrix. More...

template<typename T >
CU_HOST_DEVICE Matrix< 4, 4, T >	inverse (const Matrix< 4, 4, T > &mat)
	Inverse the matrix. More...

template<size_t nRows, typename T >
CU_HOST_DEVICE Matrix< nRows, nRows, T >	inverse (const Matrix< nRows, nRows, T > &mat)
	Inverse the matrix. More...

template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE Matrix< nCols, nRows, T >	transpose (const Matrix< nRows, nCols, T > &mat)
	Transpose a matrix. More...

template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE T	norm (const Matrix< nRows, nCols, T > &mat)
	Return the norm of the matrix. More...

template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE T	normsq (const Matrix< nRows, nCols, T > &mat)
	Return the square norm of the matrix. More...

template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (const T &(*fct)(const T &), const Matrix< nRows, nCols, T > &m)
	Apply a unary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (T(*fct)(T), const Matrix< nRows, nCols, T > &m)
	Apply a unary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (T(*fct)(const T &), const Matrix< nRows, nCols, T > &m)
	Apply a unary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T , typename T1 >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (const T &(*fct)(const T1 &), const Matrix< nRows, nCols, T1 > &m)
	Apply a unary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T , typename T1 >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (T(*fct)(T1), const Matrix< nRows, nCols, T1 > &m)
	Apply a unary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T , typename T1 >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (T(*fct)(const T1 &), const Matrix< nRows, nCols, T1 > &m)
	Apply a unary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (T(*fct)(T, T), const Matrix< nRows, nCols, T > &m1, const Matrix< nRows, nCols, T > &m2)
	Apply a binary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (T(*fct)(const T &, const T &), const Matrix< nRows, nCols, T > &m1, const Matrix< nRows, nCols, T > &m2)
	Apply a binary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (const T &(*fct)(const T &, const T &), const Matrix< nRows, nCols, T > &m1, const Matrix< nRows, nCols, T > &m2)
	Apply a binary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T , typename T1 , typename T2 >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (T(*fct)(T1, T2), const Matrix< nRows, nCols, T1 > &m1, const Matrix< nRows, nCols, T2 > &m2)
	Apply a binary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T , typename T1 , typename T2 >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (T(*fct)(const T1 &, const T2 &), const Matrix< nRows, nCols, T1 > &m1, const Matrix< nRows, nCols, T2 > &m2)
	Apply a binary function to each element of the matrix. More...

template<size_t nRows, size_t nCols, typename T , typename T1 , typename T2 >
CU_HOST_DEVICE Matrix< nRows, nCols, T >	map (const T &(*fct)(const T1 &, const T2 &), const Matrix< nRows, nCols, T1 > &m1, const Matrix< nRows, nCols, T2 > &m2)
	Apply a binary function to each element of the matrix. More...

Detailed Description

template<size_t nRows, size_t nCols, typename T = double>
class mgx::Matrix< nRows, nCols, T >

Class representing a fixed-size dense matrix.

Definition at line 39 of file Matrix.hpp.

Member Typedef Documentation

◆ iterator

template<size_t nRows, size_t nCols, typename T = double>

typedef T* mgx::Matrix< nRows, nCols, T >::iterator

Definition at line 49 of file Matrix.hpp.

◆ pointer_type

template<size_t nRows, size_t nCols, typename T = double>

typedef T* mgx::Matrix< nRows, nCols, T >::pointer_type

Definition at line 47 of file Matrix.hpp.

◆ reference_type

template<size_t nRows, size_t nCols, typename T = double>

typedef T& mgx::Matrix< nRows, nCols, T >::reference_type

Definition at line 45 of file Matrix.hpp.

◆ value_type

template<size_t nRows, size_t nCols, typename T = double>

typedef T mgx::Matrix< nRows, nCols, T >::value_type

Definition at line 44 of file Matrix.hpp.

Constructor & Destructor Documentation

◆ Matrix() [1/7]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE mgx::Matrix< nRows, nCols, T >::Matrix ( void )

inline

Create a matrix filled with 0s.

Definition at line 59 of file Matrix.hpp.

◆ Matrix() [2/7]

template<size_t nRows, size_t nCols, typename T = double>

template<typename T1 >

CU_HOST_DEVICE mgx::Matrix< nRows, nCols, T >::Matrix ( const Matrix< nRows, nCols, T1 > & mat )

inline

Copy a matrix.

Can be used to cast a matrix onto another type.

Definition at line 71 of file Matrix.hpp.

◆ Matrix() [3/7]

template<size_t nRows, size_t nCols, typename T = double>

template<typename T1 >

CU_HOST_DEVICE mgx::Matrix< nRows, nCols, T >::Matrix ( const Vector< nCols, T1 > * vecs )

inline

Fill the matrix with the array of vectors.

Parameters

vecs	Array of `nRows` vectors.

Definition at line 83 of file Matrix.hpp.

◆ Matrix() [4/7]

template<size_t nRows, size_t nCols, typename T = double>

template<typename T1 >

CU_HOST_DEVICE mgx::Matrix< nRows, nCols, T >::Matrix	(	const Vector< nCols, T1 > &	r0,
		const Vector< nCols, T1 > &	r1,
		const Vector< nCols, T1 > &	r2
	)

inline

Initialize a 3 row matrix.

Definition at line 93 of file Matrix.hpp.

◆ Matrix() [5/7]

template<size_t nRows, size_t nCols, typename T = double>

template<typename T1 >

CU_HOST_DEVICE mgx::Matrix< nRows, nCols, T >::Matrix ( const T1 * values )

inline

Fill in the matrix with the values.

Parameters

values	nRows*nCols array. If `c_style` is true, `values` is rows first (i.e. the first values correspond to the first row). Otherwise, values are columns first.
c_style	Determine the ordering of values.

Definition at line 111 of file Matrix.hpp.

◆ Matrix() [6/7]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE mgx::Matrix< nRows, nCols, T >::Matrix ( const T * values )

inline

Fill in the matrix with the values.

Parameters

values	nRows*nCols array. If `c_style` is true, `values` is rows first (i.e. the first values correspond to the first row). Otherwise, values are columns first.
c_style	Determine the ordering of values.

Definition at line 127 of file Matrix.hpp.

◆ Matrix() [7/7]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE mgx::Matrix< nRows, nCols, T >::Matrix ( const T & value )

inline

Create a diagonal matrix.

Parameters

value Value placed on the diagonal.

Definition at line 139 of file Matrix.hpp.

Member Function Documentation

◆ c_data()

template<size_t nRows, size_t nCols, typename T = double>

const CU_HOST_DEVICE T* mgx::Matrix< nRows, nCols, T >::c_data ( ) const

inline

Returns a constant raw pointer on the data.

The data are organised on by rows. (i.e. in the opposite order as OpenGL)

Definition at line 178 of file Matrix.hpp.

◆ data()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE T* mgx::Matrix< nRows, nCols, T >::data ( )

inline

Returns a raw pointer on the data.

The data are organised on by rows. (i.e. in the opposite order as OpenGL)

Definition at line 188 of file Matrix.hpp.

◆ diag()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Vector<nRows, T> mgx::Matrix< nRows, nCols, T >::diag ( ) const

inline

Return the diagonal vector, if the matrix is square.

Definition at line 560 of file Matrix.hpp.

◆ fillArray()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE void mgx::Matrix< nRows, nCols, T >::fillArray ( T * array )

inline

Definition at line 551 of file Matrix.hpp.

◆ identity()

template<size_t nRows, size_t nCols, typename T = double>

static CU_HOST_DEVICE Matrix mgx::Matrix< nRows, nCols, T >::identity ( )

inlinestatic

Returns an identity matrix.

Definition at line 444 of file Matrix.hpp.

◆ nbColumns()

template<size_t nRows, size_t nCols, typename T = double>

static CU_HOST_DEVICE size_t mgx::Matrix< nRows, nCols, T >::nbColumns ( )

inlinestatic

Returns the number of columns of the matrix.

Definition at line 168 of file Matrix.hpp.

◆ nbRows()

template<size_t nRows, size_t nCols, typename T = double>

static CU_HOST_DEVICE size_t mgx::Matrix< nRows, nCols, T >::nbRows ( )

inlinestatic

Returns the number of rows of the matrix.

Definition at line 160 of file Matrix.hpp.

◆ operator!=()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE bool mgx::Matrix< nRows, nCols, T >::operator!= ( const Matrix< nRows, nCols, T > & mat ) const

inline

Element-wise inequality.

Definition at line 343 of file Matrix.hpp.

◆ operator()() [1/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE T& mgx::Matrix< nRows, nCols, T >::operator()	(	size_t	i,
		size_t	j
	)

inline

Return the value at row i, column j.

Definition at line 428 of file Matrix.hpp.

◆ operator()() [2/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE T mgx::Matrix< nRows, nCols, T >::operator()	(	size_t	i,
		size_t	j
	)		const

inline

Return the value at row i, column j.

Definition at line 436 of file Matrix.hpp.

◆ operator*() [1/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix mgx::Matrix< nRows, nCols, T >::operator* ( const T & scalar ) const

inline

Matrix-scalar multiplication.

Definition at line 238 of file Matrix.hpp.

◆ operator*() [2/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Vector<nRows, T> mgx::Matrix< nRows, nCols, T >::operator* ( const Vector< nCols, T > & vec ) const

inline

Matrix*Column Vector.

Definition at line 280 of file Matrix.hpp.

◆ operator*=() [1/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix& mgx::Matrix< nRows, nCols, T >::operator*= ( const Matrix< nRows, nCols, T > & mat )

inline

Definition at line 322 of file Matrix.hpp.

◆ operator*=() [2/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix& mgx::Matrix< nRows, nCols, T >::operator*= ( const T & scalar )

inline

Definition at line 312 of file Matrix.hpp.

◆ operator+()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix mgx::Matrix< nRows, nCols, T >::operator+ ( const Matrix< nRows, nCols, T > & mat ) const

inline

Matrix addition.

Matrix subtraction

Definition at line 210 of file Matrix.hpp.

◆ operator+=()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix& mgx::Matrix< nRows, nCols, T >::operator+= ( const Matrix< nRows, nCols, T > & mat )

inline

Definition at line 302 of file Matrix.hpp.

◆ operator-() [1/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix mgx::Matrix< nRows, nCols, T >::operator- ( const Matrix< nRows, nCols, T > & mat ) const

inline

Definition at line 224 of file Matrix.hpp.

◆ operator-() [2/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix mgx::Matrix< nRows, nCols, T >::operator- ( void ) const

inline

Matrix subtraction.

Definition at line 196 of file Matrix.hpp.

◆ operator-=()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix& mgx::Matrix< nRows, nCols, T >::operator-= ( const Matrix< nRows, nCols, T > & mat )

inline

Definition at line 307 of file Matrix.hpp.

◆ operator/()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix mgx::Matrix< nRows, nCols, T >::operator/ ( const T & scalar ) const

inline

Matrix-scalar division.

Definition at line 252 of file Matrix.hpp.

◆ operator/=()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix& mgx::Matrix< nRows, nCols, T >::operator/= ( const T & scalar )

inline

Definition at line 317 of file Matrix.hpp.

◆ operator<()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE bool mgx::Matrix< nRows, nCols, T >::operator< ( const Matrix< nRows, nCols, T > & other ) const

inline

Comparison operator.

Compare the axis in row order.

Definition at line 353 of file Matrix.hpp.

◆ operator=() [1/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix& mgx::Matrix< nRows, nCols, T >::operator= ( const Matrix< nRows, nCols, T > & mat )

inline

Definition at line 293 of file Matrix.hpp.

◆ operator=() [2/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix& mgx::Matrix< nRows, nCols, T >::operator= ( const T & value )

inline

Set the matrix to a diagonal matrix.

Parameters

value Value to put on the diagonal

Definition at line 468 of file Matrix.hpp.

◆ operator==()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE bool mgx::Matrix< nRows, nCols, T >::operator== ( const Matrix< nRows, nCols, T > & mat ) const

inline

Element-wise equality.

Definition at line 330 of file Matrix.hpp.

◆ operator[]() [1/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Vector<nCols, T>& mgx::Matrix< nRows, nCols, T >::operator[] ( size_t idx )

inline

Returns the nth row.

Parameters

idx	Index of the returned row

Definition at line 410 of file Matrix.hpp.

◆ operator[]() [2/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Vector<nCols, T> mgx::Matrix< nRows, nCols, T >::operator[] ( size_t idx ) const

inline

Returns the nth row.

Parameters

idx	Index of the returned row

Definition at line 420 of file Matrix.hpp.

◆ operator~()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix<nCols, nRows, T> mgx::Matrix< nRows, nCols, T >::operator~ ( )

inline

Transpose the matrix.

Definition at line 485 of file Matrix.hpp.

◆ rotation() [1/2]

template<size_t nRows, size_t nCols, typename T = double>

static CU_HOST_DEVICE Matrix<3, 3, T> mgx::Matrix< nRows, nCols, T >::rotation	(	const Vector< 3, T > &	direction,
		T	angle
	)

inlinestatic

Creates the 3x3 matrix corresponding to a rotation.

Parameters

direction	Axes of the rotation
angle	Angle of the rotation

Definition at line 501 of file Matrix.hpp.

◆ rotation() [2/2]

template<size_t nRows, size_t nCols, typename T = double>

static CU_HOST_DEVICE Matrix<4, 4, T> mgx::Matrix< nRows, nCols, T >::rotation	(	const Vector< 4, T > &	direction,
		T	angle
	)

inlinestatic

Creates the 4x4 matrix corresponding to a rotation.

Parameters

direction	Axes of the rotation
angle	Angle of the rotation

Definition at line 522 of file Matrix.hpp.

◆ size()

template<size_t nRows, size_t nCols, typename T = double>

static CU_HOST_DEVICE Vector<2, size_t> mgx::Matrix< nRows, nCols, T >::size ( )

inlinestatic

Returns the size of the matrix.

First element is number of rows, second is number of columns

Definition at line 152 of file Matrix.hpp.

◆ trace()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE T mgx::Matrix< nRows, nCols, T >::trace ( ) const

inline

Trace of the matrix.

Definition at line 541 of file Matrix.hpp.

◆ zero()

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE Matrix& mgx::Matrix< nRows, nCols, T >::zero ( void )

inline

Set the matrix to all zero.

Definition at line 454 of file Matrix.hpp.

Friends And Related Function Documentation

◆ cofactor()

template<size_t nRows, typename T >

CU_HOST_DEVICE T cofactor	(	const Matrix< nRows, nRows, T > &	mat,
		size_t	i,
		size_t	j
	)

Definition at line 992 of file Matrix.hpp.

◆ det() [1/4]

template<typename T >

T CU_HOST_DEVICE det ( const Matrix< 1, 1, T > & mat )

Definition at line 946 of file Matrix.hpp.

◆ det() [2/4]

template<typename T >

T CU_HOST_DEVICE det ( const Matrix< 2, 2, T > & mat )

Definition at line 950 of file Matrix.hpp.

◆ det() [3/4]

template<typename T >

T CU_HOST_DEVICE det ( const Matrix< 3, 3, T > & mat )

Definition at line 955 of file Matrix.hpp.

◆ det() [4/4]

template<size_t nRows, typename T >

T CU_HOST_DEVICE det ( const Matrix< nRows, nRows, T > & mat )

Warning: the method used is complexity !

Definition at line 961 of file Matrix.hpp.

◆ inverse() [1/5]

template<typename T >

CU_HOST_DEVICE Matrix< 1, 1, T > inverse ( const Matrix< 1, 1, T > & mat )

Definition at line 1001 of file Matrix.hpp.

◆ inverse() [2/5]

template<typename T >

CU_HOST_DEVICE Matrix< 2, 2, T > inverse ( const Matrix< 2, 2, T > & mat )

Definition at line 1008 of file Matrix.hpp.

◆ inverse() [3/5]

template<typename T >

CU_HOST_DEVICE Matrix< 3, 3, T > inverse ( const Matrix< 3, 3, T > & mat )

Definition at line 1022 of file Matrix.hpp.

◆ inverse() [4/5]

template<typename T >

CU_HOST_DEVICE Matrix< 4, 4, T > inverse ( const Matrix< 4, 4, T > & mat )

Definition at line 1041 of file Matrix.hpp.

◆ inverse() [5/5]

template<size_t nRows, typename T >

CU_HOST_DEVICE Matrix< nRows, nRows, T > inverse ( const Matrix< nRows, nRows, T > & mat )

Warning: This algorithm is sub-optimal

Definition at line 1100 of file Matrix.hpp.

◆ map() [1/12]

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	const T &(*)(const T &)	fct,
		const Matrix< nRows, nCols, T > &	m
	)

Definition at line 684 of file Matrix.hpp.

◆ map() [2/12]

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	const T &(*)(const T &, const T &)	fct,
		const Matrix< nRows, nCols, T > &	m1,
		const Matrix< nRows, nCols, T > &	m2
	)

Definition at line 840 of file Matrix.hpp.

◆ map() [3/12]

template<size_t nRows, size_t nCols, typename T , typename T1 >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	const T &(*)(const T1 &)	fct,
		const Matrix< nRows, nCols, T1 > &	m
	)

Definition at line 741 of file Matrix.hpp.

◆ map() [4/12]

template<size_t nRows, size_t nCols, typename T , typename T1 , typename T2 >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	const T &(*)(const T1 &, const T2 &)	fct,
		const Matrix< nRows, nCols, T1 > &	m1,
		const Matrix< nRows, nCols, T2 > &	m2
	)

Definition at line 903 of file Matrix.hpp.

◆ map() [5/12]

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	T(*)(const T &)	fct,
		const Matrix< nRows, nCols, T > &	m
	)

Definition at line 722 of file Matrix.hpp.

◆ map() [6/12]

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	T(*)(const T &, const T &)	fct,
		const Matrix< nRows, nCols, T > &	m1,
		const Matrix< nRows, nCols, T > &	m2
	)

Definition at line 819 of file Matrix.hpp.

◆ map() [7/12]

template<size_t nRows, size_t nCols, typename T , typename T1 >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	T(*)(const T1 &)	fct,
		const Matrix< nRows, nCols, T1 > &	m
	)

Definition at line 779 of file Matrix.hpp.

◆ map() [8/12]

template<size_t nRows, size_t nCols, typename T , typename T1 , typename T2 >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	T(*)(const T1 &, const T2 &)	fct,
		const Matrix< nRows, nCols, T1 > &	m1,
		const Matrix< nRows, nCols, T2 > &	m2
	)

Definition at line 882 of file Matrix.hpp.

◆ map() [9/12]

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	T(*)(T)	fct,
		const Matrix< nRows, nCols, T > &	m
	)

Definition at line 703 of file Matrix.hpp.

◆ map() [10/12]

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	T(*)(T, T)	fct,
		const Matrix< nRows, nCols, T > &	m1,
		const Matrix< nRows, nCols, T > &	m2
	)

Definition at line 798 of file Matrix.hpp.

◆ map() [11/12]

template<size_t nRows, size_t nCols, typename T , typename T1 >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	T(*)(T1)	fct,
		const Matrix< nRows, nCols, T1 > &	m
	)

Definition at line 760 of file Matrix.hpp.

◆ map() [12/12]

template<size_t nRows, size_t nCols, typename T , typename T1 , typename T2 >

CU_HOST_DEVICE Matrix< nRows, nCols, T > map	(	T(*)(T1, T2)	fct,
		const Matrix< nRows, nCols, T1 > &	m1,
		const Matrix< nRows, nCols, T2 > &	m2
	)

Definition at line 861 of file Matrix.hpp.

◆ norm()

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE T norm ( const Matrix< nRows, nCols, T > & mat )

The norm is defined as the square-root of the sum of the square of the values.

Definition at line 1134 of file Matrix.hpp.

◆ normsq()

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE T normsq ( const Matrix< nRows, nCols, T > & mat )

See also: norm(const Matrix&)

Definition at line 1123 of file Matrix.hpp.

◆ operator*() [1/3]

template<size_t nRows, size_t nSize, size_t nCols, typename T >

CU_HOST_DEVICE Matrix< nRows, nCols, T > operator*	(	const Matrix< nRows, nSize, T > &	mat1,
		const Matrix< nSize, nCols, T > &	mat2
	)

◆ operator* [2/3]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE friend Matrix operator*	(	const T &	scalar,
		const Matrix< nRows, nCols, T > &	mat
	)

friend

Matrix-scalar multiplication.

Definition at line 266 of file Matrix.hpp.

◆ operator*() [3/3]

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE Vector< nCols, T > operator*	(	const Vector< nCols, T > &	vec,
		const Matrix< nRows, nCols, T > &	mat
	)

Definition at line 919 of file Matrix.hpp.

◆ operator<< [1/2]

template<size_t nRows, size_t nCols, typename T = double>

QTextStream& operator<<	(	QTextStream &	out,
		const Matrix< nRows, nCols, T > &	mat
	)

friend

Definition at line 365 of file Matrix.hpp.

◆ operator<< [2/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE friend std::ostream& operator<<	(	std::ostream &	out,
		const Matrix< nRows, nCols, T > &	mat
	)

friend

Definition at line 385 of file Matrix.hpp.

◆ operator>> [1/2]

template<size_t nRows, size_t nCols, typename T = double>

QTextStream& operator>>	(	QTextStream &	in,
		Matrix< nRows, nCols, T > &	mat
	)

friend

Definition at line 376 of file Matrix.hpp.

◆ operator>> [2/2]

template<size_t nRows, size_t nCols, typename T = double>

CU_HOST_DEVICE friend std::istream& operator>>	(	std::istream &	in,
		Matrix< nRows, nCols, T > &	mat
	)

friend

Definition at line 397 of file Matrix.hpp.

◆ transpose()

template<size_t nRows, size_t nCols, typename T >

CU_HOST_DEVICE Matrix< nCols, nRows, T > transpose ( const Matrix< nRows, nCols, T > & mat )

Definition at line 1114 of file Matrix.hpp.

Member Data Documentation

◆ const_iterator

template<size_t nRows, size_t nCols, typename T = double>

const typedef T* mgx::Matrix< nRows, nCols, T >::const_iterator

Definition at line 50 of file Matrix.hpp.

◆ const_pointer_type

template<size_t nRows, size_t nCols, typename T = double>

const typedef T* mgx::Matrix< nRows, nCols, T >::const_pointer_type

Definition at line 48 of file Matrix.hpp.

◆ const_reference_type

template<size_t nRows, size_t nCols, typename T = double>

const typedef T& mgx::Matrix< nRows, nCols, T >::const_reference_type

Definition at line 46 of file Matrix.hpp.

◆ numcols

template<size_t nRows, size_t nCols, typename T = double>

const size_t mgx::Matrix< nRows, nCols, T >::numcols

static

Definition at line 52 of file Matrix.hpp.

◆ numrows

template<size_t nRows, size_t nCols, typename T = double>

const size_t mgx::Matrix< nRows, nCols, T >::numrows

static

Definition at line 53 of file Matrix.hpp.

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

src/Matrix.hpp

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Friends

Related Functions

Detailed Description

template<size_t nRows, size_t nCols, typename T = double> class mgx::Matrix< nRows, nCols, T >

Member Typedef Documentation

◆ iterator

◆ pointer_type

◆ reference_type

◆ value_type

Constructor & Destructor Documentation

◆ Matrix() [1/7]

◆ Matrix() [2/7]

◆ Matrix() [3/7]

◆ Matrix() [4/7]

◆ Matrix() [5/7]

◆ Matrix() [6/7]

◆ Matrix() [7/7]

Member Function Documentation

◆ c_data()

◆ data()

◆ diag()

◆ fillArray()

◆ identity()

◆ nbColumns()

◆ nbRows()

◆ operator!=()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator<()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ operator~()

◆ rotation() [1/2]

◆ rotation() [2/2]

◆ size()

◆ trace()

◆ zero()

Friends And Related Function Documentation

◆ cofactor()

◆ det() [1/4]

◆ det() [2/4]

◆ det() [3/4]

◆ det() [4/4]

◆ inverse() [1/5]

◆ inverse() [2/5]

◆ inverse() [3/5]

◆ inverse() [4/5]

◆ inverse() [5/5]

◆ map() [1/12]

◆ map() [2/12]

◆ map() [3/12]

◆ map() [4/12]

◆ map() [5/12]

◆ map() [6/12]

◆ map() [7/12]

◆ map() [8/12]

◆ map() [9/12]

◆ map() [10/12]

◆ map() [11/12]

◆ map() [12/12]

◆ norm()

template<size_t nRows, size_t nCols, typename T = double>
class mgx::Matrix< nRows, nCols, T >