blas2.h File Reference

#include "backend/tensor_traits.h"
#include "backend/tensor_traits_std.h"
#include "backend/tensor_traits_thrust.h"
#include "backend/blas2_dispatch_scalar.h"
#include "backend/blas2_dispatch_shared.h"
#include "backend/blas2_sparseblockmat.h"
#include "backend/blas2_selfmade.h"
#include "backend/blas2_densematrix.h"
#include "backend/blas2_dispatch_mpi.h"
#include "backend/blas2_dispatch_vector.h"

Go to the source code of this file.

Namespaces
namespace	dg
	This is the namespace for all functions and classes defined and used by the discontinuous Galerkin library.
namespace	dg::blas2
	BLAS Level 2 routines.

Functions
template<class ContainerType1 , class MatrixType , class ContainerType2 >
auto	dg::blas2::dot (const ContainerType1 &x, const MatrixType &m, const ContainerType2 &y)
	\( x^T M y\); Binary reproducible general dot product
template<class MatrixType , class ContainerType >
get_value_type< MatrixType >	dg::blas2::dot (const MatrixType &m, const ContainerType &x)
	\( x^T M x\); Binary reproducible general dot product
template<class MatrixType , class ContainerType1 , class ContainerType2 >
void	dg::blas2::symv (get_value_type< ContainerType1 > alpha, MatrixType &&M, const ContainerType1 &x, get_value_type< ContainerType1 > beta, ContainerType2 &y)
	\( y = \alpha M x + \beta y\)
template<class MatrixType , class ContainerType1 , class ContainerType2 >
void	dg::blas2::symv (MatrixType &&M, const ContainerType1 &x, ContainerType2 &y)
	\( y = M x\)
template<class MatrixType , class ContainerType1 , class ContainerType2 >
void	dg::blas2::gemv (get_value_type< ContainerType1 > alpha, MatrixType &&M, const ContainerType1 &x, get_value_type< ContainerType1 > beta, ContainerType2 &y)
	Alias for blas2::symv \( y = \alpha M x + \beta y \);.
template<class MatrixType , class ContainerType1 , class ContainerType2 >
void	dg::blas2::gemv (MatrixType &&M, const ContainerType1 &x, ContainerType2 &y)
	Alias for blas2::symv \( y = M x\);.
template<class Stencil , class ContainerType , class ... ContainerTypes>
void	dg::blas2::parallel_for (Stencil f, unsigned N, ContainerType &&x, ContainerTypes &&... xs)
	\( f(i, x_0, x_1, ...)\ \forall i\); Customizable and generic for loop
template<class FunctorType , class MatrixType , class ContainerType1 , class ContainerType2 >
void	dg::blas2::stencil (FunctorType f, MatrixType &&M, const ContainerType1 &x, ContainerType2 &y)
	\( F(M, x, y)\)
template<class MatrixType , class AnotherMatrixType >
void	dg::blas2::transfer (const MatrixType &x, AnotherMatrixType &y)
	\( y = x\); Generic way to copy and/or convert a Matrix type to a different Matrix type
template<class MatrixType , class ContainerType1 , class ContainerType2 >
void	dg::apply (get_value_type< ContainerType1 > alpha, MatrixType &&M, const ContainerType1 &x, get_value_type< ContainerType1 > beta, ContainerType2 &y)
	Alias for dg::blas2::symv \( y = \alpha M(x) + \beta y \);.
template<class MatrixType , class ContainerType1 , class ContainerType2 >
void	dg::apply (MatrixType &&M, const ContainerType1 &x, ContainerType2 &y)
	Alias for dg::blas2::symv \( y = M( x)\);.

Detailed Description

Basic linear algebra level 2 functions (functions that involve vectors and matrices)