sparse_matrix_operations.hpp File Reference

Implementations of operations using sparse matrices on the CPU using a single thread or OpenMP. More...

#include "viennacl/forwards.h"
#include "viennacl/scalar.hpp"
#include "viennacl/vector.hpp"
#include "viennacl/tools/tools.hpp"
#include "viennacl/linalg/host_based/common.hpp"
#include "viennacl/linalg/host_based/vector_operations.hpp"
#include "viennacl/linalg/host_based/spgemm_vector.hpp"
#include <vector>

Go to the source code of this file.

Namespaces
	viennacl
	Main namespace in ViennaCL. Holds all the basic types such as vector, matrix, etc. and defines operations upon them.
	viennacl::linalg
	Provides all linear algebra operations which are not covered by operator overloads.
	viennacl::linalg::host_based
	Holds all compute kernels with conventional host-based execution (buffers in CPU RAM).
	viennacl::linalg::host_based::detail
	Helper functions for the host-based linear algebra backend.

Functions
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::detail::row_info (compressed_matrix< NumericT, AlignmentV > const &mat, vector_base< NumericT > &vec, viennacl::linalg::detail::row_info_types info_selector)
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::compressed_matrix< NumericT, AlignmentV > &mat, const viennacl::vector_base< NumericT > &vec, NumericT alpha, viennacl::vector_base< NumericT > &result, NumericT beta)
	Carries out matrix-vector multiplication with a compressed_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::compressed_matrix< NumericT, AlignmentV > &sp_mat, const viennacl::matrix_base< NumericT > &d_mat, viennacl::matrix_base< NumericT > &result)
	Carries out sparse_matrix-matrix multiplication first matrix being compressed. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::compressed_matrix< NumericT, AlignmentV > &sp_mat, const viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > &d_mat, viennacl::matrix_base< NumericT > &result)
	Carries out matrix-trans(matrix) multiplication first matrix being compressed and the second transposed. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (viennacl::compressed_matrix< NumericT, AlignmentV > const &A, viennacl::compressed_matrix< NumericT, AlignmentV > const &B, viennacl::compressed_matrix< NumericT, AlignmentV > &C)
	Carries out sparse_matrix-sparse_matrix multiplication for CSR matrices. More...
template<typename NumericT , typename ConstScalarArrayT , typename ScalarArrayT , typename IndexArrayT >
void	viennacl::linalg::host_based::detail::csr_inplace_solve (IndexArrayT const &row_buffer, IndexArrayT const &col_buffer, ConstScalarArrayT const &element_buffer, ScalarArrayT &vec_buffer, vcl_size_t num_cols, viennacl::linalg::unit_lower_tag)
template<typename NumericT , typename ConstScalarArrayT , typename ScalarArrayT , typename IndexArrayT >
void	viennacl::linalg::host_based::detail::csr_inplace_solve (IndexArrayT const &row_buffer, IndexArrayT const &col_buffer, ConstScalarArrayT const &element_buffer, ScalarArrayT &vec_buffer, vcl_size_t num_cols, viennacl::linalg::lower_tag)
template<typename NumericT , typename ConstScalarArrayT , typename ScalarArrayT , typename IndexArrayT >
void	viennacl::linalg::host_based::detail::csr_inplace_solve (IndexArrayT const &row_buffer, IndexArrayT const &col_buffer, ConstScalarArrayT const &element_buffer, ScalarArrayT &vec_buffer, vcl_size_t num_cols, viennacl::linalg::unit_upper_tag)
template<typename NumericT , typename ConstScalarArrayT , typename ScalarArrayT , typename IndexArrayT >
void	viennacl::linalg::host_based::detail::csr_inplace_solve (IndexArrayT const &row_buffer, IndexArrayT const &col_buffer, ConstScalarArrayT const &element_buffer, ScalarArrayT &vec_buffer, vcl_size_t num_cols, viennacl::linalg::upper_tag)
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::inplace_solve (compressed_matrix< NumericT, AlignmentV > const &L, vector_base< NumericT > &vec, viennacl::linalg::unit_lower_tag tag)
	Inplace solution of a lower triangular compressed_matrix with unit diagonal. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::inplace_solve (compressed_matrix< NumericT, AlignmentV > const &L, vector_base< NumericT > &vec, viennacl::linalg::lower_tag tag)
	Inplace solution of a lower triangular compressed_matrix. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::inplace_solve (compressed_matrix< NumericT, AlignmentV > const &U, vector_base< NumericT > &vec, viennacl::linalg::unit_upper_tag tag)
	Inplace solution of a upper triangular compressed_matrix with unit diagonal. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::inplace_solve (compressed_matrix< NumericT, AlignmentV > const &U, vector_base< NumericT > &vec, viennacl::linalg::upper_tag tag)
	Inplace solution of a upper triangular compressed_matrix. Typically used for LU substitutions. More...
template<typename NumericT , typename ConstScalarArrayT , typename ScalarArrayT , typename IndexArrayT >
void	viennacl::linalg::host_based::detail::csr_trans_inplace_solve (IndexArrayT const &row_buffer, IndexArrayT const &col_buffer, ConstScalarArrayT const &element_buffer, ScalarArrayT &vec_buffer, vcl_size_t num_cols, viennacl::linalg::unit_lower_tag)
template<typename NumericT , typename ConstScalarArrayT , typename ScalarArrayT , typename IndexArrayT >
void	viennacl::linalg::host_based::detail::csr_trans_inplace_solve (IndexArrayT const &row_buffer, IndexArrayT const &col_buffer, ConstScalarArrayT const &element_buffer, ScalarArrayT &vec_buffer, vcl_size_t num_cols, viennacl::linalg::lower_tag)
template<typename NumericT , typename ConstScalarArrayT , typename ScalarArrayT , typename IndexArrayT >
void	viennacl::linalg::host_based::detail::csr_trans_inplace_solve (IndexArrayT const &row_buffer, IndexArrayT const &col_buffer, ConstScalarArrayT const &element_buffer, ScalarArrayT &vec_buffer, vcl_size_t num_cols, viennacl::linalg::unit_upper_tag)
template<typename NumericT , typename ConstScalarArrayT , typename ScalarArrayT , typename IndexArrayT >
void	viennacl::linalg::host_based::detail::csr_trans_inplace_solve (IndexArrayT const &row_buffer, IndexArrayT const &col_buffer, ConstScalarArrayT const &element_buffer, ScalarArrayT &vec_buffer, vcl_size_t num_cols, viennacl::linalg::upper_tag)
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::detail::block_inplace_solve (const matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > &L, viennacl::backend::mem_handle const &, vcl_size_t, vector_base< NumericT > const &, vector_base< NumericT > &vec, viennacl::linalg::unit_lower_tag)
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::detail::block_inplace_solve (const matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > &L, viennacl::backend::mem_handle const &, vcl_size_t, vector_base< NumericT > const &L_diagonal, vector_base< NumericT > &vec, viennacl::linalg::lower_tag)
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::detail::block_inplace_solve (const matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > &U, viennacl::backend::mem_handle const &, vcl_size_t, vector_base< NumericT > const &, vector_base< NumericT > &vec, viennacl::linalg::unit_upper_tag)
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::detail::block_inplace_solve (const matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > &U, viennacl::backend::mem_handle const &, vcl_size_t, vector_base< NumericT > const &U_diagonal, vector_base< NumericT > &vec, viennacl::linalg::upper_tag)
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::inplace_solve (matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &proxy, vector_base< NumericT > &vec, viennacl::linalg::unit_lower_tag tag)
	Inplace solution of a lower triangular compressed_matrix with unit diagonal. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::inplace_solve (matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &proxy, vector_base< NumericT > &vec, viennacl::linalg::lower_tag tag)
	Inplace solution of a lower triangular compressed_matrix. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::inplace_solve (matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &proxy, vector_base< NumericT > &vec, viennacl::linalg::unit_upper_tag tag)
	Inplace solution of a upper triangular compressed_matrix with unit diagonal. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::inplace_solve (matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &proxy, vector_base< NumericT > &vec, viennacl::linalg::upper_tag tag)
	Inplace solution of a upper triangular compressed_matrix with unit diagonal. Typically used for LU substitutions. More...
template<typename NumericT >
void	viennacl::linalg::host_based::prod_impl (const viennacl::compressed_compressed_matrix< NumericT > &mat, const viennacl::vector_base< NumericT > &vec, NumericT alpha, viennacl::vector_base< NumericT > &result, NumericT beta)
	Carries out matrix-vector multiplication with a compressed_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::detail::row_info (coordinate_matrix< NumericT, AlignmentV > const &mat, vector_base< NumericT > &vec, viennacl::linalg::detail::row_info_types info_selector)
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::coordinate_matrix< NumericT, AlignmentV > &mat, const viennacl::vector_base< NumericT > &vec, NumericT alpha, viennacl::vector_base< NumericT > &result, NumericT beta)
	Carries out matrix-vector multiplication with a coordinate_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::coordinate_matrix< NumericT, AlignmentV > &sp_mat, const viennacl::matrix_base< NumericT > &d_mat, viennacl::matrix_base< NumericT > &result)
	Carries out Compressed Matrix(COO)-Dense Matrix multiplication. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::coordinate_matrix< NumericT, AlignmentV > &sp_mat, const viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > &d_mat, viennacl::matrix_base< NumericT > &result)
	Carries out Compressed Matrix(COO)-Dense Transposed Matrix multiplication. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::ell_matrix< NumericT, AlignmentV > &mat, const viennacl::vector_base< NumericT > &vec, NumericT alpha, viennacl::vector_base< NumericT > &result, NumericT beta)
	Carries out matrix-vector multiplication with a ell_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::ell_matrix< NumericT, AlignmentV > &sp_mat, const viennacl::matrix_base< NumericT > &d_mat, viennacl::matrix_base< NumericT > &result)
	Carries out ell_matrix-d_matrix multiplication. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::ell_matrix< NumericT, AlignmentV > &sp_mat, const viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > &d_mat, viennacl::matrix_base< NumericT > &result)
	Carries out matrix-trans(matrix) multiplication first matrix being sparse ell and the second dense transposed. More...
template<typename NumericT , typename IndexT >
void	viennacl::linalg::host_based::prod_impl (const viennacl::sliced_ell_matrix< NumericT, IndexT > &mat, const viennacl::vector_base< NumericT > &vec, NumericT alpha, viennacl::vector_base< NumericT > &result, NumericT beta)
	Carries out matrix-vector multiplication with a sliced_ell_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::hyb_matrix< NumericT, AlignmentV > &mat, const viennacl::vector_base< NumericT > &vec, NumericT alpha, viennacl::vector_base< NumericT > &result, NumericT beta)
	Carries out matrix-vector multiplication with a hyb_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::hyb_matrix< NumericT, AlignmentV > &mat, const viennacl::matrix_base< NumericT > &d_mat, viennacl::matrix_base< NumericT > &result)
	Carries out sparse-matrix-dense-matrix multiplication with a hyb_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	viennacl::linalg::host_based::prod_impl (const viennacl::hyb_matrix< NumericT, AlignmentV > &mat, const viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > &d_mat, viennacl::matrix_base< NumericT > &result)
	Carries out sparse-matrix-transposed-dense-matrix multiplication with a hyb_matrix. More...

Detailed Description

Implementations of operations using sparse matrices on the CPU using a single thread or OpenMP.

Definition in file sparse_matrix_operations.hpp.