Multiplication

Collaboration diagram for Multiplication:

template<class T>
void	bitpit::linearalgebra::matmul (T, const std::vector< std::vector< T > > &, std::vector< std::vector< T > > &)
template<class T, size_t m, size_t n>
void	bitpit::linearalgebra::matmul (T, const std::array< std::array< T, n >, m > &, std::array< std::array< T, n >, m > &)
template<class T>
void	bitpit::linearalgebra::matmul (const std::vector< std::vector< T > > &, T, std::vector< std::vector< T > > &)
template<class T, size_t m, size_t n>
void	bitpit::linearalgebra::matmul (const std::array< std::array< T, n >, m > &, T, std::array< std::array< T, n >, m > &)
template<class T>
void	bitpit::linearalgebra::matmul (const std::vector< T > &, const std::vector< std::vector< T > > &, std::vector< T > &)
template<class T, size_t m, size_t n>
void	bitpit::linearalgebra::matmul (const std::array< T, m > &, const std::array< std::array< T, n >, m > &, std::array< T, n > &)
template<class T>
void	bitpit::linearalgebra::matmul (const std::vector< std::vector< T > > &, const std::vector< T > &, std::vector< T > &)
template<class T, size_t m, size_t n>
void	bitpit::linearalgebra::matmul (const std::array< std::array< T, n >, m > &, const std::array< T, n > &, std::array< T, m > &)
template<class T>
void	bitpit::linearalgebra::matmul (const std::vector< std::vector< T > > &, const std::vector< std::vector< T > > &, std::vector< std::vector< T > > &)
template<class T, size_t m, size_t n, size_t l>
void	bitpit::linearalgebra::matmul (const std::array< std::array< T, n >, m > &, const std::array< std::array< T, l >, n > &, std::array< std::array< T, l >, m > &)
template<class T, size_t d1, size_t d2, size_t d3>
std::array< std::array< T, d2 >, d1 >	bitpit::linearalgebra::matmul (const std::array< std::array< T, d3 >, d1 > &, const std::array< std::array< T, d2 >, d3 > &)
template<class T>
std::vector< std::vector< T > >	bitpit::linearalgebra::matmul (const std::vector< std::vector< T > > &, const std::vector< std::vector< T > > &)
template<class T>
std::vector< std::vector< T > >	bitpit::linearalgebra::matmulDiag (const std::vector< T > &, const std::vector< std::vector< T > > &)
template<class T>
std::vector< std::vector< T > >	bitpit::linearalgebra::matmulDiag (const std::vector< std::vector< T > > &, const std::vector< T > &)
template<class T, size_t d1, size_t d2>
std::array< std::array< T, d2 >, d1 >	bitpit::linearalgebra::matmulDiag (const std::array< T, d1 > &, const std::array< std::array< T, d2 >, d1 > &)
template<class T, size_t d1, size_t d2>
std::array< std::array< T, d2 >, d1 >	bitpit::linearalgebra::matmulDiag (const std::array< std::array< T, d2 >, d1 > &, const std::array< T, d2 > &)
template<class T>
std::vector< T >	bitpit::linearalgebra::matmul (const std::vector< std::vector< T > > &, const std::vector< T > &)
template<class T, size_t d1, size_t d2>
std::array< T, d1 >	bitpit::linearalgebra::matmul (const std::array< std::array< T, d2 >, d1 > &, const std::array< T, d2 > &)
template<class T>
std::vector< std::vector< T > >	bitpit::linearalgebra::tensorProduct (std::vector< T > const &, std::vector< T > const &)
template<class T, size_t n, size_t m>
std::array< std::array< T, m >, n >	bitpit::linearalgebra::tensorProduct (std::array< T, n > const &, std::array< T, m > const &)

Detailed Description

Function Documentation

matmul() [1/14]

template<class T, size_t d1, size_t d2>

std::array< T, d1 > bitpit::linearalgebra::matmul	(	const std::array< std::array< T, d2 >, d1 > &	M,
		const std::array< T, d2 > &	x )

Matrix-vector multiplication. Overloading of matmul() for container array.

Parameters

[in]	M	input matrix
[in]	x	input vector

Returns

product between M and x

Definition at line 765 of file multiplication.tpp.

matmul() [2/14]

template<class T, size_t d1, size_t d2, size_t d3>

std::array< std::array< T, d2 >, d1 > bitpit::linearalgebra::matmul	(	const std::array< std::array< T, d3 >, d1 > &	M,
		const std::array< std::array< T, d2 >, d3 > &	N )

Matrix multiplication. Overloading of matmul() function for container array.

Parameters

[in]	M	1st argument
[in]	N	2nd argument

Returns

product of M and N.

Definition at line 607 of file multiplication.tpp.

matmul() [3/14]

template<class T, size_t m, size_t n, size_t l>

void bitpit::linearalgebra::matmul	(	const std::array< std::array< T, n >, m > &	A,
		const std::array< std::array< T, l >, n > &	B,
		std::array< std::array< T, l >, m > &	C )

Matrix multiplication between two matrices. Overloading of matmul() for container array.

Parameters

[in]	A	input matrix
[in]	B	input matrix
[in,out]	C	product between A and B

Definition at line 523 of file multiplication.tpp.

matmul() [4/14]

template<class T, size_t m, size_t n>

void bitpit::linearalgebra::matmul	(	const std::array< std::array< T, n >, m > &	A,
		const std::array< T, n > &	B,
		std::array< T, m > &	C )

Matrix multiplication between matrix and vector. Overloading of matmul() function for container array.

Parameters

[in]	A	input matrix
[in]	B	input vector
[in,out]	C	product between A and B

Definition at line 406 of file multiplication.tpp.

matmul() [5/14]

template<class T, size_t m, size_t n>

void bitpit::linearalgebra::matmul	(	const std::array< std::array< T, n >, m > &	B,
		T	A,
		std::array< std::array< T, n >, m > &	C )

Matrix multiplication between matrix and scalar. Overloading of matmul() function for container array.

Parameters

[in]	A	input matrix
[in]	B	input scalar
[in,out]	C	product between A and B

Definition at line 186 of file multiplication.tpp.

matmul() [6/14]

template<class T, size_t m, size_t n>

void bitpit::linearalgebra::matmul	(	const std::array< T, m > &	A,
		const std::array< std::array< T, n >, m > &	B,
		std::array< T, n > &	C )

Matrix multiplication between vector and matrix. Overloading of matmul() function for container array.

Parameters

[in]	A	input vector
[in]	B	input matrix
[in,out]	C	product between A and B

Definition at line 295 of file multiplication.tpp.

matmul() [7/14]

template<class T>

std::vector< std::vector< T > > bitpit::linearalgebra::matmul	(	const std::vector< std::vector< T > > &	M,
		const std::vector< std::vector< T > > &	N )

Matrix product.

Parameters

[in]	M	1st argument of matrix multiplication
[in]	N	2nd argument of matrix multiplication

Returns

product between M and N.

Definition at line 577 of file multiplication.tpp.

matmul() [8/14]

template<class T>

void bitpit::linearalgebra::matmul	(	const std::vector< std::vector< T > > &	A,
		const std::vector< std::vector< T > > &	B,
		std::vector< std::vector< T > > &	C )

Matrix multiplication between two matrices.

Parameters

[in]	A	input matrix
[in]	B	input matrix
[in,out]	C	product between A and B

Definition at line 452 of file multiplication.tpp.

matmul() [9/14]

template<class T>

std::vector< T > bitpit::linearalgebra::matmul	(	const std::vector< std::vector< T > > &	M,
		const std::vector< T > &	x )

Matrix-vector multiplication.

Parameters

[in]	M	input matrix
[in]	x	input vector

Returns

product between M and x

Definition at line 739 of file multiplication.tpp.

matmul() [10/14]

template<class T>

void bitpit::linearalgebra::matmul	(	const std::vector< std::vector< T > > &	A,
		const std::vector< T > &	B,
		std::vector< T > &	C )

Matrix multiplication between matrix and vector.

Parameters

[in]	A	input matrix
[in]	B	input vector
[in,out]	C	product between A and B

Definition at line 341 of file multiplication.tpp.

matmul() [11/14]

template<class T>

void bitpit::linearalgebra::matmul	(	const std::vector< std::vector< T > > &	B,
		T	A,
		std::vector< std::vector< T > > &	C )

Matrix multiplication between matrix and scalar.

Parameters

[in]	A	input matrix
[in]	B	input scalar
[in,out]	C	product between A and B

Definition at line 139 of file multiplication.tpp.

matmul() [12/14]

template<class T>

void bitpit::linearalgebra::matmul	(	const std::vector< T > &	A,
		const std::vector< std::vector< T > > &	B,
		std::vector< T > &	C )

Matrix multiplication between vector and matrix.

Parameters

[in]	A	input vector
[in]	B	input matrix
[in,out]	C	product between A and B

Definition at line 230 of file multiplication.tpp.

matmul() [13/14]

template<class T, size_t m, size_t n>

void bitpit::linearalgebra::matmul	(	T	A,
		const std::array< std::array< T, n >, m > &	B,
		std::array< std::array< T, n >, m > &	C )

Matrix multiplication between a scalar and a matrix. Overloading of matmul() function for container array.

Parameters

[in]	A	input scalar
[in]	B	input matrix
[in,out]	C	product between A and B

Definition at line 94 of file multiplication.tpp.

matmul() [14/14]

template<class T>

void bitpit::linearalgebra::matmul	(	T	A,
		const std::vector< std::vector< T > > &	B,
		std::vector< std::vector< T > > &	C )

Matrix multiplication between a scalar and a matrix.

Parameters

[in]	A	input scalar
[in]	B	input matrix
[in,out]	C	product between A and B

Definition at line 40 of file multiplication.tpp.

matmulDiag() [1/4]

template<class T, size_t d1, size_t d2>

std::array< std::array< T, d2 >, d1 > bitpit::linearalgebra::matmulDiag	(	const std::array< std::array< T, d2 >, d1 > &	M,
		const std::array< T, d2 > &	N )

Diadic matrix multiplication. Overloading of matmulDiag() function for container array.

Parameters

[in]	M	1st argument
[in]	N	2nd argument

Returns

diadic product between M and N.

Definition at line 712 of file multiplication.tpp.

matmulDiag() [2/4]

template<class T, size_t d1, size_t d2>

std::array< std::array< T, d2 >, d1 > bitpit::linearalgebra::matmulDiag	(	const std::array< T, d1 > &	M,
		const std::array< std::array< T, d2 >, d1 > &	N )

Diadic matrix multiplication. Overloading of matmulDiag() function for container array.

Parameters

[in]	M	1st argument
[in]	N	2nd argument

Returns

diadic product between M and N.

Definition at line 687 of file multiplication.tpp.

matmulDiag() [3/4]

template<class T>

std::vector< std::vector< T > > bitpit::linearalgebra::matmulDiag	(	const std::vector< std::vector< T > > &	M,
		const std::vector< T > &	N )

Diadic matrix multiplication

Parameters

[in]	M	1st argument
[in]	N	2nd argument

Returns

diadic product between M and N.

Definition at line 660 of file multiplication.tpp.

matmulDiag() [4/4]

template<class T>

std::vector< std::vector< T > > bitpit::linearalgebra::matmulDiag	(	const std::vector< T > &	M,
		const std::vector< std::vector< T > > &	N )

Diadic matrix multiplicationx

Parameters

[in]	M	1st argument
[in]	N	2nd argument

Returns

diadic product between M and N.

Definition at line 635 of file multiplication.tpp.

tensorProduct() [1/2]

template<class T, size_t n, size_t m>

std::array< std::array< T, m >, n > bitpit::linearalgebra::tensorProduct	(	const std::array< T, n > &	x,
		const std::array< T, m > &	y )

Tensor product. Overloading of tensorProduct() for container array.

Parameters

[in]	x	1st argument of the tensor product
[in]	y	2nd argument of the tensor product

Returns

tensor product between x and y

Definition at line 817 of file multiplication.tpp.

tensorProduct() [2/2]

template<class T>

std::vector< std::vector< T > > bitpit::linearalgebra::tensorProduct	(	const std::vector< T > &	x,
		const std::vector< T > &	y )

Tensor product.

Parameters

[in]	x	1st argument of the tensor product
[in]	y	2nd argument of the tensor product

Returns

tensor product between x and y

Definition at line 789 of file multiplication.tpp.