Linear algebra interface. More...

#include <core/alien/core/backend/LinearAlgebraExpr.h>

Public Member Functions
template<typename... T>
	LinearAlgebraExpr (T... args)
	Creates a linear algebra.
virtual	~LinearAlgebraExpr ()
	Free resources.
Real	norm0 (const IVector &x) const
	Compute L0 norm of a vector.
Real	norm1 (const IVector &x) const
	Compute L1 norm of a vector.
Real	norm2 (const IVector &x) const
	Compute L2 norm of a vector.
Real	normInf (const IVector &x) const
	Compute LInf norm of a vector.
Real	norm2 (const IMatrix &x) const
	Compute L2 (Frobenous) norm of a matrix.
void	mult (const IMatrix &a, const IVector &x, IVector &r) const
	Compute a matrix vector product.
void	axpy (Real alpha, const IVector &x, IVector &y) const
	Scale a vector by a factor and adds the result to another vector.
void	aypx (Real alpha, IVector &y, const IVector &x) const
	Scale a vector by a factor and adds the result to another vector.
void	copy (const IVector &x, IVector &r) const
	Copy a vector in another one.
void	copy (const IMatrix &x, IMatrix &r) const
	Copy a matrix in another one.
void	add (const IMatrix &a, IMatrix &b) const
	Add two matrices A and B.
Real	dot (const IVector &x, const IVector &y) const
	Compute the dot product of two vectors.
void	scal (Real alpha, IVector &x) const
	Scale a vector by a factor.
void	scal (Real alpha, IMatrix &a) const
	Scale a matrix by a factor.
void	diagonal (const IMatrix &a, IVector &x) const
	Extract the diagonal of a matrix in a vector.
void	reciprocal (IVector &x) const
	Compute the reciprocal of a vector.
void	pointwiseMult (const IVector &x, const IVector &y, IVector &w) const
	Compute the point wise multiplication of two vectors and store the result in another one.
void	mult (const IMatrix &a, const UniqueArray< Real > &x, UniqueArray< Real > &r) const
	Compute a matrix vector product.
void	axpy (Real alpha, const UniqueArray< Real > &x, UniqueArray< Real > &r) const
	Scale a vector by a factor and adds the result to another vector.
void	aypx (Real alpha, UniqueArray< Real > &y, const UniqueArray< Real > &x) const
	Scale a vector by a factor and adds the result to another vector.
void	copy (const UniqueArray< Real > &x, UniqueArray< Real > &r) const
	Copy a vector in another one.
Real	dot (Integer local_size, const UniqueArray< Real > &x, const UniqueArray< Real > &y) const
	Compute the dot product of two vectors.
void	scal (Real alpha, UniqueArray< Real > &x) const
	Scale a vector by a factor.
void	dump (IMatrix const &a, std::string const &filename) const
	Dumps a matrix to a file.
void	dump (IVector const &x, std::string const &filename) const
	Dumps a vector to a file.

Detailed Description

template<class Tag, class TagV = Tag>
class Alien::LinearAlgebraExpr< Tag, TagV >

Linear algebra interface.

Interface for all linear algebra package

Template Parameters

Tag	The tag of the type of matrix used
TagV	The tag of the type of vector used

Definition at line 48 of file LinearAlgebraExpr.h.

Constructor & Destructor Documentation

◆ LinearAlgebraExpr()

template<class Tag, class TagV = Tag>

template<typename... T>

Alien::LinearAlgebraExpr< Tag, TagV >::LinearAlgebraExpr ( T... args )

inline

Creates a linear algebra.

Creates a linear algebra using traits and the linear algebra factory

Template Parameters

T	Variadics type of linear algebra

Parameters

[in] args Linear algebras

Definition at line 60 of file LinearAlgebraExpr.h.

◆ ~LinearAlgebraExpr()

template<class Tag, class TagV>

Alien::LinearAlgebraExpr< Tag, TagV >::~LinearAlgebraExpr ( )

virtual

Free resources.

Definition at line 32 of file LinearAlgebraExprT.h.

Member Function Documentation

◆ add()

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::add	(	const IMatrix &	a,
		IMatrix &	b ) const

Add two matrices A and B.

Parameters

[in]	a	The matrix A
[in]	b	The matrix B
[in,out]	c	The resulting matrix

Definition at line 145 of file LinearAlgebraExprT.h.

References Alien::MultiMatrixImpl::get(), and Alien::IMatrix::impl().

◆ axpy() [1/2]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::axpy	(	Real	alpha,
		const IVector &	x,
		IVector &	y ) const

Scale a vector by a factor and adds the result to another vector.

Scale the vector x by the real value alpha and add the result to the vector y : y += alpha * x

Parameters

[in]	alpha	The real value to scale with
[in]	x	The vector to be scaled
[in,out]	y	The resulting vector

Definition at line 104 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ axpy() [2/2]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::axpy	(	Real	alpha,
		const UniqueArray< Real > &	x,
		UniqueArray< Real > &	r ) const

Scale a vector by a factor and adds the result to another vector.

Scale the vector x by the real value alpha and add the result to the vector y : y += alpha * x

Parameters

[in]	alpha	The real value to scale with
[in]	x	The vector to be scaled
[in,out]	y	The resulting vector

Definition at line 233 of file LinearAlgebraExprT.h.

◆ aypx() [1/2]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::aypx	(	Real	alpha,
		IVector &	y,
		const IVector &	x ) const

Scale a vector by a factor and adds the result to another vector.

Scale the vector y by the real value alpha and add the values of x : alpha * y += x

Parameters

[in]	alpha	The real value to scale with
[in,out]	y	The vector to be scaled
[in]	x	The vector to add

Definition at line 116 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ aypx() [2/2]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::aypx	(	Real	alpha,
		UniqueArray< Real > &	y,
		const UniqueArray< Real > &	x ) const

Scale a vector by a factor and adds the result to another vector.

Scale the vector y by the real value alpha and add the values of x : alpha * y += x

Parameters

[in]	alpha	The real value to scale with
[in,out]	y	The vector to be scaled
[in]	x	The vector to add

Definition at line 242 of file LinearAlgebraExprT.h.

◆ copy() [1/3]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::copy	(	const IMatrix &	x,
		IMatrix &	r ) const

Copy a matrix in another one.

Parameters

[in]	x	The matrix to copy
[in,out]	r	The copied matrix

Definition at line 136 of file LinearAlgebraExprT.h.

References Alien::MultiMatrixImpl::get(), and Alien::IMatrix::impl().

◆ copy() [2/3]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::copy	(	const IVector &	x,
		IVector &	r ) const

Copy a vector in another one.

Parameters

[in]	x	The vector to copy
[in,out]	r	The copied vector

Definition at line 127 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ copy() [3/3]

template<class Tag, class TagV = Tag>

void Alien::LinearAlgebraExpr< Tag, TagV >::copy	(	const UniqueArray< Real > &	x,
		UniqueArray< Real > &	r ) const

Copy a vector in another one.

Parameters

[in]	x	The vector to copy
[in,out]	r	The copied vector

◆ diagonal()

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::diagonal	(	const IMatrix &	a,
		IVector &	x ) const

Extract the diagonal of a matrix in a vector.

Parameters

[in]	a	The matrix to extract the diagonal
[in,out]	x	The diagonal elements of the matrix stored in a vector

Definition at line 167 of file LinearAlgebraExprT.h.

References Alien::MultiMatrixImpl::get(), Alien::MultiVectorImpl::get(), Alien::IMatrix::impl(), and Alien::IVector::impl().

◆ dot() [1/2]

template<class Tag, class TagV>

Real Alien::LinearAlgebraExpr< Tag, TagV >::dot	(	const IVector &	x,
		const IVector &	y ) const

Compute the dot product of two vectors.

Parameters

[in]	x	The first vector
[in]	y	The second vector

Returns: The dot product of x * y

Definition at line 156 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ dot() [2/2]

template<class Tag, class TagV>

Real Alien::LinearAlgebraExpr< Tag, TagV >::dot	(	Integer	local_size,
		const UniqueArray< Real > &	x,
		const UniqueArray< Real > &	y ) const

Compute the dot product of two vectors.

Parameters

[in]	local_size	The size of the vectors
[in]	x	The first vector
[in]	y	The second vector

Returns: The dot product of x * y

Definition at line 261 of file LinearAlgebraExprT.h.

◆ dump() [1/2]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::dump	(	IMatrix const &	a,
		std::string const &	filename ) const

Dumps a matrix to a file.

Parameters

[in]	a	The matrix to dump
[in]	filename	The name of the file

Definition at line 280 of file LinearAlgebraExprT.h.

References Alien::MultiMatrixImpl::get(), and Alien::IMatrix::impl().

◆ dump() [2/2]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::dump	(	IVector const &	x,
		std::string const &	filename ) const

Dumps a vector to a file.

Parameters

[in]	x	The vector to dump
[in]	filename	The name of the file

Definition at line 290 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ mult() [1/2]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::mult	(	const IMatrix &	a,
		const IVector &	x,
		IVector &	r ) const

Compute a matrix vector product.

Compute the matrix-vector product a by x and store it in r : r = a * x

Parameters

[in]	a	The matrix to be multiplied
[in]	x	The vector to be multipled
[in,out]	r	The resulting vector

Definition at line 90 of file LinearAlgebraExprT.h.

References Alien::MultiMatrixImpl::get(), Alien::MultiVectorImpl::get(), Alien::IMatrix::impl(), and Alien::IVector::impl().

◆ mult() [2/2]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::mult	(	const IMatrix &	a,
		const UniqueArray< Real > &	x,
		UniqueArray< Real > &	r ) const

Compute a matrix vector product.

Compute the matrix-vector product a by x and store it in r : r = a * x

Parameters

[in]	a	The matrix to be multiplied
[in]	x	The vector to be multipled
[in,out]	r	The resulting vector

Definition at line 222 of file LinearAlgebraExprT.h.

References Alien::MultiMatrixImpl::get(), and Alien::IMatrix::impl().

◆ norm0()

template<class Tag, class TagV>

Arccore::Real Alien::LinearAlgebraExpr< Tag, TagV >::norm0 ( const IVector & x ) const

Compute L0 norm of a vector.

Parameters

[in] x The vector on which norm0 is computed

Returns: The norm0 of the vector

Definition at line 38 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ norm1()

template<class Tag, class TagV>

Arccore::Real Alien::LinearAlgebraExpr< Tag, TagV >::norm1 ( const IVector & x ) const

Compute L1 norm of a vector.

Parameters

[in] x The vector on which norm0 is computed

Returns: The norm1 of the vector

Definition at line 48 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ norm2() [1/2]

template<class Tag, class TagV>

Arccore::Real Alien::LinearAlgebraExpr< Tag, TagV >::norm2 ( const IMatrix & x ) const

Compute L2 (Frobenous) norm of a matrix.

Parameters

[in] x The matrix on which norm2 is computed

Returns: The norm2 of the matrix

Definition at line 81 of file LinearAlgebraExprT.h.

References Alien::MultiMatrixImpl::get(), and Alien::IMatrix::impl().

◆ norm2() [2/2]

template<class Tag, class TagV>

Arccore::Real Alien::LinearAlgebraExpr< Tag, TagV >::norm2 ( const IVector & x ) const

Compute L2 norm of a vector.

Parameters

[in] x The vector on which norm0 is computed

Returns: The norm2 of the vector

Definition at line 59 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ normInf()

template<class Tag, class TagV>

Arccore::Real Alien::LinearAlgebraExpr< Tag, TagV >::normInf ( const IVector & x ) const

Compute LInf norm of a vector.

Parameters

[in] x The vector on which norm0 is computed

Returns: The normInf of the vector

Definition at line 70 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ pointwiseMult()

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::pointwiseMult	(	const IVector &	x,
		const IVector &	y,
		IVector &	w ) const

Compute the point wise multiplication of two vectors and store the result in another one.

Parameters

[in]	x	The first vector
[in]	y	The second vector
[in,out]	w	The resulting vector

Definition at line 207 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ reciprocal()

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::reciprocal ( IVector & x ) const

Compute the reciprocal of a vector.

Parameters

[in,out] x The vector to be processed

Definition at line 180 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ scal() [1/3]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::scal	(	Real	alpha,
		IMatrix &	a ) const

Scale a matrix by a factor.

Parameters

[in]	alpha	The real value to scale with
[in,out]	x	The vector to be scaled

Definition at line 197 of file LinearAlgebraExprT.h.

References Alien::MultiMatrixImpl::get(), and Alien::IMatrix::impl().

◆ scal() [2/3]

template<class Tag, class TagV>

void Alien::LinearAlgebraExpr< Tag, TagV >::scal	(	Real	alpha,
		IVector &	x ) const

Scale a vector by a factor.

Parameters

[in]	alpha	The real value to scale with
[in,out]	x	The vector to be scaled

Definition at line 190 of file LinearAlgebraExprT.h.

References Alien::MultiVectorImpl::get(), and Alien::IVector::impl().

◆ scal() [3/3]

template<class Tag, class TagV = Tag>

void Alien::LinearAlgebraExpr< Tag, TagV >::scal	(	Real	alpha,
		UniqueArray< Real > &	x ) const

Scale a vector by a factor.

Parameters

[in]	alpha	The real value to scale with
[in,out]	x	The vector to be scaled

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

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ LinearAlgebraExpr()

◆ ~LinearAlgebraExpr()

Member Function Documentation

◆ add()

◆ axpy() [1/2]

◆ axpy() [2/2]

◆ aypx() [1/2]

◆ aypx() [2/2]

◆ copy() [1/3]

◆ copy() [2/3]

◆ copy() [3/3]

◆ diagonal()

◆ dot() [1/2]

◆ dot() [2/2]

◆ dump() [1/2]

◆ dump() [2/2]

◆ mult() [1/2]

◆ mult() [2/2]

◆ norm0()

◆ norm1()

◆ norm2() [1/2]

◆ norm2() [2/2]

◆ normInf()

◆ pointwiseMult()

◆ reciprocal()

◆ scal() [1/3]

◆ scal() [2/3]

◆ scal() [3/3]