Math matrix. More...

#include "pimathcomplex.h"
#include "pimathvector.h"

Classes
class	PIMathMatrixT< Rows, Cols, Type >
	A class for fixed size and type matrix. More...

class	PIMathMatrix< Type >
	A class for dynamic size and fixed type matrix. More...

Macros
#define	PIMM_FOR
	Matrix templated. More...

#define	PIMM_FOR
	Matrix templated. More...

Functions
template<uint Rows, uint Cols, typename Type >
PICout	operator<< (PICout s, const PIMathMatrixT< Rows, Cols, Type > &m)
	Inline operator for outputting the matrix to the console. More...

template<uint CR, uint Rows0, uint Cols1, typename Type >
PIMathMatrixT< Rows0, Cols1, Type >	operator* (const PIMathMatrixT< Rows0, CR, Type > &fm, const PIMathMatrixT< CR, Cols1, Type > &sm)
	Multiplying matrices by each other. More...

template<uint Cols, uint Rows, typename Type >
PIMathVectorT< Rows, Type >	operator* (const PIMathMatrixT< Rows, Cols, Type > &fm, const PIMathVectorT< Cols, Type > &sv)
	Multiplying a matrix by a vector. More...

template<uint Cols, uint Rows, typename Type >
PIMathVectorT< Cols, Type >	operator* (const PIMathVectorT< Rows, Type > &sv, const PIMathMatrixT< Rows, Cols, Type > &fm)
	Multiplying a vector by a matrix. More...

template<uint Cols, uint Rows, typename Type >
PIMathMatrixT< Rows, Cols, Type >	operator* (const Type &x, const PIMathMatrixT< Rows, Cols, Type > &v)
	Multiplying a value of type `Type` by a matrix. More...

template<typename Type >
PICout	operator<< (PICout s, const PIMathMatrix< Type > &m)
	Inline operator for outputting the matrix to the console. More...

template<typename P , typename T >
PIBinaryStream< P > &	operator<< (PIBinaryStream< P > &s, const PIMathMatrix< T > &v)
	Inline operator for serializing a matrix into a PIBinaryStream. More...

template<typename P , typename T >
PIBinaryStream< P > &	operator>> (PIBinaryStream< P > &s, PIMathMatrix< T > &v)
	Inline operator to deserialize matrix from PIByteArray. More...

template<typename Type >
PIMathMatrix< Type >	operator* (const PIMathMatrix< Type > &fm, const PIMathMatrix< Type > &sm)
	Multiplying matrices by each other. More...

template<typename Type >
PIMathVector< Type >	operator* (const PIMathMatrix< Type > &fm, const PIMathVector< Type > &sv)
	Multiplying a matrix by a vector. More...

template<typename Type >
PIMathVector< Type >	operator* (const PIMathVector< Type > &sv, const PIMathMatrix< Type > &fm)
	Multiplying a vector by a matrix. More...

template<typename Type >
PIMathMatrix< Type >	operator* (const Type &x, const PIMathMatrix< Type > &v)
	Multiplying a value of type `Type` by a matrix. More...

template<typename T >
PIMathMatrix< complex< T > >	hermitian (const PIMathMatrix< complex< T > > &m)
	Searching hermitian matrix. More...

Detailed Description

Math matrix.

Macro Definition Documentation

◆ PIMM_FOR [1/2]

#define PIMM_FOR

Value:

for (uint r = 0; r < Rows; ++r) \

for (uint c = 0; c < Cols; ++c)

Matrix templated.

Matrix.

◆ PIMM_FOR [2/2]

#define PIMM_FOR

Value:

for (uint r = 0; r < _V2D::rows_; ++r) \

for (uint c = 0; c < _V2D::cols_; ++c)

Matrix templated.

Matrix.

Function Documentation

◆ operator<<() [1/3]

template<uint Rows, uint Cols, typename Type >

PICout operator<<	(	PICout	s,
		const PIMathMatrixT< Rows, Cols, Type > &	m
	)

inline

Inline operator for outputting the matrix to the console.

Parameters

s	PICout type.
the	matrix type PIMathMatrix that we print to the console.

Returns: PIMathMatrix printed to the console.

◆ operator*() [1/8]

template<uint CR, uint Rows0, uint Cols1, typename Type >

PIMathMatrixT< Rows0, Cols1, Type > operator*	(	const PIMathMatrixT< Rows0, CR, Type > &	fm,
		const PIMathMatrixT< CR, Cols1, Type > &	sm
	)

inline

Multiplying matrices by each other.

Parameters

fm	first matrix multiplier.
sm	second matrix multiplier.

Returns: matrix that is the result of multiplication.

◆ operator*() [2/8]

template<uint Cols, uint Rows, typename Type >

PIMathVectorT< Rows, Type > operator*	(	const PIMathMatrixT< Rows, Cols, Type > &	fm,
		const PIMathVectorT< Cols, Type > &	sv
	)

inline

Multiplying a matrix by a vector.

Parameters

fm	first matrix multiplier
sv	second vector multiplier

Returns: vector that is the result of multiplication

◆ operator*() [3/8]

template<uint Cols, uint Rows, typename Type >

PIMathVectorT< Cols, Type > operator*	(	const PIMathVectorT< Rows, Type > &	sv,
		const PIMathMatrixT< Rows, Cols, Type > &	fm
	)

inline

Multiplying a vector by a matrix.

Parameters

sv	first vector multiplier
fm	second matrix multiplier

Returns: vector that is the result of multiplication

◆ operator*() [4/8]

template<uint Cols, uint Rows, typename Type >

PIMathMatrixT< Rows, Cols, Type > operator*	(	const Type &	x,
		const PIMathMatrixT< Rows, Cols, Type > &	v
	)

inline

Multiplying a value of type Type by a matrix.

Parameters

x	first multiplier of type `Type`.
v	second matrix multiplier.

Returns: matrix that is the result of multiplication.

◆ operator<<() [2/3]

template<typename Type >

PICout operator<<	(	PICout	s,
		const PIMathMatrix< Type > &	m
	)

inline

Inline operator for outputting the matrix to the console.

Parameters

s	PICout type.
the	matrix type PIMathMatrix that we print to the console.

Returns: PIMathMatrix printed to the console.

◆ operator<<() [3/3]

template<typename P , typename T >

PIBinaryStream< P > & operator<<	(	PIBinaryStream< P > &	s,
		const PIMathMatrix< T > &	v
	)

inline

Inline operator for serializing a matrix into a PIBinaryStream.

Parameters

s	PIBinaryStream type.
v	PIMathMatrix type.

◆ operator>>()

template<typename P , typename T >

PIBinaryStream< P > & operator>>	(	PIBinaryStream< P > &	s,
		PIMathMatrix< T > &	v
	)

inline

Inline operator to deserialize matrix from PIByteArray.

Parameters

s	PIBinaryStream type.
v	PIMathMatrix type.

◆ operator*() [5/8]

template<typename Type >

PIMathMatrix< Type > operator*	(	const PIMathMatrix< Type > &	fm,
		const PIMathMatrix< Type > &	sm
	)

inline

Multiplying matrices by each other.

If you enter an index out of the border of the matrix there will be "undefined behavior".

Parameters

fm	first matrix multiplier.
sm	second matrix multiplier.

Returns: matrix that is the result of multiplication.

◆ operator*() [6/8]

template<typename Type >

PIMathVector< Type > operator*	(	const PIMathMatrix< Type > &	fm,
		const PIMathVector< Type > &	sv
	)

inline

Multiplying a matrix by a vector.

If you enter an index out of the border of the matrix there will be "undefined behavior".

Parameters

fm	first matrix multiplier
sv	second vector multiplier

Returns: vector that is the result of multiplication

◆ operator*() [7/8]

template<typename Type >

PIMathVector< Type > operator*	(	const PIMathVector< Type > &	sv,
		const PIMathMatrix< Type > &	fm
	)

inline

Multiplying a vector by a matrix.

If you enter an index out of the border of the matrix there will be "undefined behavior".

Parameters

sv	first vector multiplier
fm	second matrix multiplier

Returns: vector that is the result of multiplication

◆ operator*() [8/8]

template<typename Type >

PIMathMatrix< Type > operator*	(	const Type &	x,
		const PIMathMatrix< Type > &	v
	)

inline

Multiplying a value of type Type by a matrix.

Parameters

x	first multiplier of type `Type`.
v	second matrix multiplier.

Returns: matrix that is the result of multiplication.

◆ hermitian()

template<typename T >

PIMathMatrix< complex< T > > hermitian ( const PIMathMatrix< complex< T > > & m )

Searching hermitian matrix.

Parameters

m	conjugate transpose matrix.

Returns: result of the hermitian.

Classes

Macros

Functions

Detailed Description

Macro Definition Documentation

◆ PIMM_FOR [1/2]

◆ PIMM_FOR [2/2]

Function Documentation

◆ operator<<() [1/3]

◆ operator*() [1/8]

◆ operator*() [2/8]

◆ operator*() [3/8]

◆ operator*() [4/8]

◆ operator<<() [2/3]

◆ operator<<() [3/3]

◆ operator>>()

◆ operator*() [5/8]

◆ operator*() [6/8]

◆ operator*() [7/8]

◆ operator*() [8/8]

◆ hermitian()