viennacl::linalg::opencl Namespace Reference

Holds all routines providing OpenCL linear algebra operations. More...

Namespaces
	amg
	detail
	Helper functions for OpenCL-accelerated linear algebra operations.
	kernels
	Contains the OpenCL kernel generation functions for a predefined set of functionality.

Functions
template<typename NumericT >
void	bisectSmall (const viennacl::linalg::detail::InputData< NumericT > &input, viennacl::linalg::detail::ResultDataSmall< NumericT > &result, const unsigned int mat_size, const NumericT lg, const NumericT ug, const NumericT precision)
template<typename NumericT >
void	bisectLarge (const viennacl::linalg::detail::InputData< NumericT > &input, viennacl::linalg::detail::ResultDataLarge< NumericT > &result, const unsigned int mat_size, const NumericT lg, const NumericT ug, const NumericT precision)
template<typename NumericT >
void	bisectLargeOneIntervals (const viennacl::linalg::detail::InputData< NumericT > &input, viennacl::linalg::detail::ResultDataLarge< NumericT > &result, const unsigned int mat_size, const NumericT precision)
template<typename NumericT >
void	bisectLargeMultIntervals (const viennacl::linalg::detail::InputData< NumericT > &input, viennacl::linalg::detail::ResultDataLarge< NumericT > &result, const unsigned int mat_size, const NumericT precision)
template<typename NumericT , typename SolverTagT >
void	inplace_solve (matrix_base< NumericT > const &A, matrix_base< NumericT > &B, SolverTagT)
	Direct inplace solver for dense triangular systems. Matlab notation: A \ B. More...
template<typename NumericT , typename SOLVERTAG >
void	inplace_solve (matrix_base< NumericT > const &A, vector_base< NumericT > &x, SOLVERTAG)
template<typename NumericT >
void	direct (viennacl::ocl::handle< cl_mem > const &in, viennacl::ocl::handle< cl_mem > const &out, vcl_size_t size, vcl_size_t stride, vcl_size_t batch_num, NumericT sign=NumericT(-1), viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::DATA_ORDER data_order=viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR)
	Direct algorithm for computing Fourier transformation. More...
template<typename NumericT >
void	reorder (viennacl::ocl::handle< cl_mem > const &in, vcl_size_t size, vcl_size_t stride, vcl_size_t bits_datasize, vcl_size_t batch_num, viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::DATA_ORDER data_order=viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR)
template<typename NumericT >
void	radix2 (viennacl::ocl::handle< cl_mem > const &in, vcl_size_t size, vcl_size_t stride, vcl_size_t batch_num, NumericT sign=NumericT(-1), viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::DATA_ORDER data_order=viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR)
	Radix-2 algorithm for computing Fourier transformation. More...
template<typename NumericT , unsigned int AlignmentV>
void	bluestein (viennacl::vector< NumericT, AlignmentV > &in, viennacl::vector< NumericT, AlignmentV > &out, vcl_size_t)
	Bluestein's algorithm for computing Fourier transformation. More...
template<typename NumericT , unsigned int AlignmentV>
void	multiply_complex (viennacl::vector< NumericT, AlignmentV > const &input1, viennacl::vector< NumericT, AlignmentV > const &input2, viennacl::vector< NumericT, AlignmentV > &output)
	Mutiply two complex vectors and store result in output. More...
template<typename NumericT , unsigned int AlignmentV>
void	normalize (viennacl::vector< NumericT, AlignmentV > &input)
	Normalize vector on with his own size. More...
template<typename NumericT , unsigned int AlignmentV>
void	transpose (viennacl::matrix< NumericT, viennacl::row_major, AlignmentV > &input)
	Inplace_transpose matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	transpose (viennacl::matrix< NumericT, viennacl::row_major, AlignmentV > const &input, viennacl::matrix< NumericT, viennacl::row_major, AlignmentV > &output)
	Transpose matrix. More...
template<typename NumericT >
void	real_to_complex (viennacl::vector_base< NumericT > const &in, viennacl::vector_base< NumericT > &out, vcl_size_t size)
	Create complex vector from real vector (even elements(2*k) = real part, odd elements(2*k+1) = imaginary part) More...
template<typename NumericT >
void	complex_to_real (viennacl::vector_base< NumericT > const &in, viennacl::vector_base< NumericT > &out, vcl_size_t size)
	Create real vector from complex vector (even elements(2*k) = real part, odd elements(2*k+1) = imaginary part) More...
template<typename NumericT >
void	reverse (viennacl::vector_base< NumericT > &in)
	Reverse vector to oposite order and save it in input vector. More...
template<typename NumericT >
void	extract_L (compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &L)
template<typename NumericT >
void	icc_scale (compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &L)
	Scales the values extracted from A such that A' = DAD has unit diagonal. Updates values from A in L and U accordingly. More...
template<typename NumericT >
void	icc_chow_patel_sweep (compressed_matrix< NumericT > &L, vector< NumericT > const &aij_L)
	Performs one nonlinear relaxation step in the Chow-Patel-ILU using OpenMP (cf. Algorithm 2 in paper) More...
template<typename NumericT >
void	extract_LU (compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &L, compressed_matrix< NumericT > &U)
template<typename NumericT >
void	ilu_scale (compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &L, compressed_matrix< NumericT > &U)
	Scales the values extracted from A such that A' = DAD has unit diagonal. Updates values from A in L and U accordingly. More...
template<typename NumericT >
void	ilu_chow_patel_sweep (compressed_matrix< NumericT > &L, vector< NumericT > const &aij_L, compressed_matrix< NumericT > &U_trans, vector< NumericT > const &aij_U_trans)
	Performs one nonlinear relaxation step in the Chow-Patel-ILU using OpenMP (cf. Algorithm 2 in paper) More...
template<typename NumericT >
void	ilu_form_neumann_matrix (compressed_matrix< NumericT > &R, vector< NumericT > &diag_R)
template<typename NumericT >
void	pipelined_cg_vector_update (vector_base< NumericT > &result, NumericT alpha, vector_base< NumericT > &p, vector_base< NumericT > &r, vector_base< NumericT > const &Ap, NumericT beta, vector_base< NumericT > &inner_prod_buffer)
template<typename NumericT >
void	pipelined_cg_prod (compressed_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > &inner_prod_buffer)
template<typename NumericT >
void	pipelined_cg_prod (coordinate_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > &inner_prod_buffer)
template<typename NumericT >
void	pipelined_cg_prod (ell_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > &inner_prod_buffer)
template<typename NumericT >
void	pipelined_cg_prod (sliced_ell_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > &inner_prod_buffer)
template<typename NumericT >
void	pipelined_cg_prod (hyb_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > &inner_prod_buffer)
template<typename NumericT >
void	pipelined_bicgstab_update_s (vector_base< NumericT > &s, vector_base< NumericT > &r, vector_base< NumericT > const &Ap, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)
template<typename NumericT >
void	pipelined_bicgstab_vector_update (vector_base< NumericT > &result, NumericT alpha, vector_base< NumericT > &p, NumericT omega, vector_base< NumericT > const &s, vector_base< NumericT > &residual, vector_base< NumericT > const &As, NumericT beta, vector_base< NumericT > const &Ap, vector_base< NumericT > const &r0star, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size)
template<typename NumericT >
void	pipelined_bicgstab_prod (compressed_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > const &r0star, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)
template<typename NumericT >
void	pipelined_bicgstab_prod (coordinate_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > const &r0star, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)
template<typename NumericT >
void	pipelined_bicgstab_prod (ell_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > const &r0star, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)
template<typename NumericT >
void	pipelined_bicgstab_prod (sliced_ell_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > const &r0star, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)
template<typename NumericT >
void	pipelined_bicgstab_prod (hyb_matrix< NumericT > const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > const &r0star, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)
template<typename T >
void	pipelined_gmres_normalize_vk (vector_base< T > &v_k, vector_base< T > const &residual, vector_base< T > &R_buffer, vcl_size_t offset_in_R, vector_base< T > const &inner_prod_buffer, vector_base< T > &r_dot_vk_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)
	Performs a vector normalization needed for an efficient pipelined GMRES algorithm. More...
template<typename T >
void	pipelined_gmres_gram_schmidt_stage1 (vector_base< T > const &device_krylov_basis, vcl_size_t v_k_size, vcl_size_t v_k_internal_size, vcl_size_t param_k, vector_base< T > &vi_in_vk_buffer, vcl_size_t buffer_chunk_size)
template<typename T >
void	pipelined_gmres_gram_schmidt_stage2 (vector_base< T > &device_krylov_basis, vcl_size_t v_k_size, vcl_size_t v_k_internal_size, vcl_size_t param_k, vector_base< T > const &vi_in_vk_buffer, vector_base< T > &R_buffer, vcl_size_t krylov_dim, vector_base< T > &inner_prod_buffer, vcl_size_t buffer_chunk_size)
template<typename T >
void	pipelined_gmres_update_result (vector_base< T > &result, vector_base< T > const &residual, vector_base< T > const &krylov_basis, vcl_size_t v_k_size, vcl_size_t v_k_internal_size, vector_base< T > const &coefficients, vcl_size_t param_k)
template<typename T >
void	pipelined_gmres_prod (compressed_matrix< T > const &A, vector_base< T > const &p, vector_base< T > &Ap, vector_base< T > &inner_prod_buffer)
template<typename T >
void	pipelined_gmres_prod (coordinate_matrix< T > const &A, vector_base< T > const &p, vector_base< T > &Ap, vector_base< T > &inner_prod_buffer)
template<typename T >
void	pipelined_gmres_prod (ell_matrix< T > const &A, vector_base< T > const &p, vector_base< T > &Ap, vector_base< T > &inner_prod_buffer)
template<typename T >
void	pipelined_gmres_prod (sliced_ell_matrix< T > const &A, vector_base< T > const &p, vector_base< T > &Ap, vector_base< T > &inner_prod_buffer)
template<typename T >
void	pipelined_gmres_prod (hyb_matrix< T > const &A, vector_base< T > const &p, vector_base< T > &Ap, vector_base< T > &inner_prod_buffer)
template<typename DestNumericT , typename SrcNumericT >
void	convert (matrix_base< DestNumericT > &dest, matrix_base< SrcNumericT > const &src)
template<typename NumericT , typename ScalarT1 >
void	am (matrix_base< NumericT > &A, matrix_base< NumericT > const &B, ScalarT1 const &alpha, vcl_size_t, bool reciprocal_alpha, bool flip_sign_alpha)
template<typename NumericT , typename ScalarT1 , typename ScalarT2 >
void	ambm (matrix_base< NumericT > &A, matrix_base< NumericT > const &B, ScalarT1 const &alpha, vcl_size_t, bool reciprocal_alpha, bool flip_sign_alpha, matrix_base< NumericT > const &C, ScalarT2 const &beta, vcl_size_t, bool reciprocal_beta, bool flip_sign_beta)
template<typename NumericT , typename ScalarT1 , typename ScalarT2 >
void	ambm_m (matrix_base< NumericT > &A, matrix_base< NumericT > const &B, ScalarT1 const &alpha, vcl_size_t, bool reciprocal_alpha, bool flip_sign_alpha, matrix_base< NumericT > const &C, ScalarT2 const &beta, vcl_size_t, bool reciprocal_beta, bool flip_sign_beta)
template<typename NumericT , typename SizeT , typename DistanceT >
void	trans (const matrix_expression< const matrix_base< NumericT, SizeT, DistanceT >, const matrix_base< NumericT, SizeT, DistanceT >, op_trans > &proxy, matrix_base< NumericT > &temp_trans)
template<typename NumericT >
void	matrix_assign (matrix_base< NumericT > &A, NumericT s, bool up_to_internal_size=false)
template<typename NumericT >
void	matrix_diagonal_assign (matrix_base< NumericT > &A, NumericT s)
template<typename NumericT >
void	matrix_diag_from_vector (const vector_base< NumericT > &vec, int k, matrix_base< NumericT > &A)
template<typename NumericT >
void	matrix_diag_to_vector (const matrix_base< NumericT > &A, int k, vector_base< NumericT > &vec)
template<typename NumericT >
void	matrix_row (const matrix_base< NumericT > &A, unsigned int i, vector_base< NumericT > &vec)
template<typename NumericT >
void	matrix_column (const matrix_base< NumericT > &A, unsigned int j, vector_base< NumericT > &vec)
template<typename NumericT , typename OpT >
void	element_op (matrix_base< NumericT > &A, matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_element_binary< OpT > > const &proxy)
	Implementation of binary element-wise operations A = OP(B,C) More...
template<typename NumericT , typename OpT >
void	element_op (matrix_base< NumericT > &A, matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_element_unary< OpT > > const &proxy)
	Implementation of unary element-wise operations A = OP(B) More...
template<typename NumericT >
void	prod_impl (const matrix_base< NumericT > &A, bool trans_A, const vector_base< NumericT > &vec, vector_base< NumericT > &result)
	Carries out matrix-vector multiplication. More...
template<typename NumericT , typename ScalarType >
void	prod_impl (matrix_base< NumericT > const &A, bool A_trans, matrix_base< NumericT > const &B, bool B_trans, matrix_base< NumericT > &C, ScalarType alpha, ScalarType beta)
	Carries out matrix-matrix multiplication. More...
template<typename NumericT , typename ScalarT1 >
void	scaled_rank_1_update (matrix_base< NumericT > &A, ScalarT1 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha, const vector_base< NumericT > &vec1, const vector_base< NumericT > &vec2)
	The implementation of the operation mat += alpha * vec1 * vec2^T, i.e. a scaled rank 1 update. More...
template<typename SCALARTYPE , typename VectorType >
void	bidiag_pack_svd (viennacl::matrix< SCALARTYPE > &A, VectorType &dh, VectorType &sh)
template<typename NumericT >
void	bidiag_pack (matrix_base< NumericT > &A, viennacl::vector< NumericT > &dh, viennacl::vector< NumericT > &sh)
template<typename NumericT >
void	house_update_A_left (matrix_base< NumericT > &A, vector_base< NumericT > &D, vcl_size_t start)
template<typename NumericT >
void	house_update_A_right (matrix_base< NumericT > &A, vector_base< NumericT > &D)
template<typename NumericT >
void	house_update_QL (matrix_base< NumericT > &Q, vector_base< NumericT > &D, vcl_size_t A_size1)
template<typename NumericT >
void	givens_next (matrix_base< NumericT > &matrix, vector_base< NumericT > &tmp1, vector_base< NumericT > &tmp2, int l, int m)
template<typename NumericT >
void	copy_vec (matrix_base< NumericT > &A, vector_base< NumericT > &V, vcl_size_t row_start, vcl_size_t col_start, bool copy_col)
template<typename NumericT >
void	nmf (viennacl::matrix_base< NumericT > const &V, viennacl::matrix_base< NumericT > &W, viennacl::matrix_base< NumericT > &H, viennacl::linalg::nmf_config const &conf)
	The nonnegative matrix factorization (approximation) algorithm as suggested by Lee and Seung. Factorizes a matrix V with nonnegative entries into matrices W and H such that ||V - W*H|| is minimized. More...
template<typename ScalarT1 , typename ScalarT2 , typename NumericT >
viennacl::enable_if< viennacl::is_scalar< ScalarT1 >::value &&viennacl::is_scalar< ScalarT2 >::value &&viennacl::is_any_scalar< NumericT >::value >::type	as (ScalarT1 &s1, ScalarT2 const &s2, NumericT const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha)
template<typename ScalarT1 , typename ScalarT2 , typename NumericT2 , typename ScalarT3 , typename NumericT3 >
viennacl::enable_if< viennacl::is_scalar< ScalarT1 >::value &&viennacl::is_scalar< ScalarT2 >::value &&viennacl::is_scalar< ScalarT3 >::value &&viennacl::is_any_scalar< NumericT2 >::value &&viennacl::is_any_scalar< NumericT3 >::value >::type	asbs (ScalarT1 &s1, ScalarT2 const &s2, NumericT2 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha, ScalarT3 const &s3, NumericT3 const &beta, vcl_size_t len_beta, bool reciprocal_beta, bool flip_sign_beta)
template<typename ScalarT1 , typename ScalarT2 , typename NumericT2 , typename ScalarT3 , typename NumericT3 >
viennacl::enable_if< viennacl::is_scalar< ScalarT1 >::value &&viennacl::is_scalar< ScalarT2 >::value &&viennacl::is_scalar< ScalarT3 >::value &&viennacl::is_any_scalar< NumericT2 >::value &&viennacl::is_any_scalar< NumericT3 >::value >::type	asbs_s (ScalarT1 &s1, ScalarT2 const &s2, NumericT2 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha, ScalarT3 const &s3, NumericT3 const &beta, vcl_size_t len_beta, bool reciprocal_beta, bool flip_sign_beta)
template<typename ScalarT1 , typename ScalarT2 >
viennacl::enable_if< viennacl::is_scalar< ScalarT1 >::value &&viennacl::is_scalar< ScalarT2 >::value >::type	swap (ScalarT1 &s1, ScalarT2 &s2)
	Swaps the contents of two scalars, data is copied. More...
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (const viennacl::compressed_matrix< NumericT, AlignmentV > &A, const viennacl::vector_base< NumericT > &x, viennacl::vector_base< NumericT > &y)
	Carries out matrix-vector multiplication with a compressed_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (const viennacl::compressed_matrix< NumericT, AlignmentV > &sp_A, const viennacl::matrix_base< NumericT > &d_A, viennacl::matrix_base< NumericT > &y)
	Carries out sparse_matrix-matrix multiplication first matrix being compressed. More...
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::compressed_matrix< NumericT, AlignmentV > const &sp_A, viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > const &d_A, viennacl::matrix_base< NumericT > &y)
	Carries out matrix-trans(matrix) multiplication first matrix being compressed and the second transposed. More...
template<typename NumericT , unsigned int AlignmentV>
void	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 , unsigned int MAT_AlignmentV>
void	inplace_solve (compressed_matrix< NumericT, MAT_AlignmentV > const &L, vector_base< NumericT > &x, viennacl::linalg::unit_lower_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	inplace_solve (compressed_matrix< NumericT, AlignmentV > const &L, vector_base< NumericT > &x, viennacl::linalg::lower_tag)
	Inplace solution of a lower triangular compressed_matrix. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	inplace_solve (compressed_matrix< NumericT, AlignmentV > const &U, vector_base< NumericT > &x, viennacl::linalg::unit_upper_tag)
	Inplace solution of an upper triangular compressed_matrix with unit diagonal. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	inplace_solve (compressed_matrix< NumericT, AlignmentV > const &U, vector_base< NumericT > &x, viennacl::linalg::upper_tag)
	Inplace solution of an upper triangular compressed_matrix. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	inplace_solve (matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &proxy_L, vector_base< NumericT > &x, viennacl::linalg::unit_lower_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	inplace_solve (matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &proxy_L, vector_base< NumericT > &x, viennacl::linalg::lower_tag)
	Inplace solution of a lower triangular compressed_matrix. Typically used for LU substitutions. More...
template<typename NumericT , unsigned int AlignmentV>
void	inplace_solve (matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &proxy_U, vector_base< NumericT > &x, viennacl::linalg::unit_upper_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	inplace_solve (matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &proxy_U, vector_base< NumericT > &x, viennacl::linalg::upper_tag)
	Inplace solution of a lower triangular compressed_matrix. Typically used for LU substitutions. More...
template<typename NumericT >
void	prod_impl (viennacl::compressed_compressed_matrix< NumericT > const &A, viennacl::vector_base< NumericT > const &x, viennacl::vector_base< NumericT > &y)
	Carries out matrix-vector multiplication with a compressed_compressed_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::coordinate_matrix< NumericT, AlignmentV > const &A, viennacl::vector_base< NumericT > const &x, viennacl::vector_base< NumericT > &y)
	Carries out matrix-vector multiplication with a coordinate_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::coordinate_matrix< NumericT, AlignmentV > const &A, viennacl::matrix_base< NumericT > const &d_A, viennacl::matrix_base< NumericT > &y)
	Carries out sparse-matrix-dense-matrix multiplication, where the sparse matrix is a coordinate_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::coordinate_matrix< NumericT, AlignmentV > const &A, viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > const &d_A, viennacl::matrix_base< NumericT > &y)
	Carries out sparse-matrix-dense-matrix multiplication, where the sparse matrix is a coordinate_matrix. More...
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::ell_matrix< NumericT, AlignmentV > const &A, viennacl::vector_base< NumericT > const &x, viennacl::vector_base< NumericT > &y)
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::ell_matrix< NumericT, AlignmentV > const &sp_A, viennacl::matrix_base< NumericT > const &d_A, viennacl::matrix_base< NumericT > &y)
	Carries out Sparse Matrix(ELL)-Dense Matrix multiplication. More...
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::ell_matrix< NumericT, AlignmentV > const &sp_A, viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > const &d_A, viennacl::matrix_base< NumericT > &y)
	Carries out Sparse Matrix(ELL)-Dense Transposed Matrix multiplication. More...
template<typename ScalarT , typename IndexT >
void	prod_impl (viennacl::sliced_ell_matrix< ScalarT, IndexT > const &A, viennacl::vector_base< ScalarT > const &x, viennacl::vector_base< ScalarT > &y)
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::hyb_matrix< NumericT, AlignmentV > const &A, viennacl::vector_base< NumericT > const &x, viennacl::vector_base< NumericT > &y)
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::hyb_matrix< NumericT, AlignmentV > const &A, viennacl::matrix_base< NumericT > const &d_A, viennacl::matrix_base< NumericT > &y)
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::hyb_matrix< NumericT, AlignmentV > const &A, viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > const &d_A, viennacl::matrix_base< NumericT > &y)
template<typename NumericT , unsigned int AlignmentV>
void	prod_impl (viennacl::vandermonde_matrix< NumericT, AlignmentV > const &A, viennacl::vector_base< NumericT > const &x, viennacl::vector_base< NumericT > &y)
	Carries out matrix-vector multiplication with a vandermonde_matrix. More...
template<typename DestNumericT , typename SrcNumericT >
void	convert (vector_base< DestNumericT > &dest, vector_base< SrcNumericT > const &src)
template<typename NumericT , typename ScalarT1 >
void	av (vector_base< NumericT > &x, vector_base< NumericT > const &y, ScalarT1 const &alpha, vcl_size_t, bool reciprocal_alpha, bool flip_sign_alpha)
template<typename NumericT , typename ScalarT1 , typename ScalarT2 >
void	avbv (vector_base< NumericT > &x, vector_base< NumericT > const &y, ScalarT1 const &alpha, vcl_size_t, bool reciprocal_alpha, bool flip_sign_alpha, vector_base< NumericT > const &z, ScalarT2 const &beta, vcl_size_t, bool reciprocal_beta, bool flip_sign_beta)
template<typename NumericT , typename ScalarT1 , typename ScalarT2 >
void	avbv_v (vector_base< NumericT > &x, vector_base< NumericT > const &y, ScalarT1 const &alpha, vcl_size_t, bool reciprocal_alpha, bool flip_sign_alpha, vector_base< NumericT > const &z, ScalarT2 const &beta, vcl_size_t, bool reciprocal_beta, bool flip_sign_beta)
template<typename NumericT >
void	vector_assign (vector_base< NumericT > &x, const NumericT &alpha, bool up_to_internal_size=false)
	Assign a constant value to a vector (-range/-slice) More...
template<typename NumericT >
void	vector_swap (vector_base< NumericT > &x, vector_base< NumericT > &y)
	Swaps the contents of two vectors, data is copied. More...
template<typename NumericT , typename OP >
void	element_op (vector_base< NumericT > &x, vector_expression< const vector_base< NumericT >, const vector_base< NumericT >, op_element_binary< OP > > const &proxy)
	Implementation of the element-wise operation v1 = v2 .* v3 and v1 = v2 ./ v3 (using MATLAB syntax) More...
template<typename NumericT , typename OP >
void	element_op (vector_base< NumericT > &x, vector_expression< const vector_base< NumericT >, const vector_base< NumericT >, op_element_unary< OP > > const &proxy)
	Implementation of unary element-wise operations v1 = OP(v2) More...
template<typename NumericT >
void	inner_prod_impl (vector_base< NumericT > const &x, vector_base< NumericT > const &y, scalar< NumericT > &result)
	Computes the inner product of two vectors - implementation. Library users should call inner_prod(x, y). More...
template<typename NumericT >
void	inner_prod_impl (vector_base< NumericT > const &x, vector_tuple< NumericT > const &vec_tuple, vector_base< NumericT > &result)
	Computes multiple inner products where one argument is common to all inner products. <x, y1>, <x, y2>, ..., <x, yN> More...
template<typename NumericT >
void	inner_prod_cpu (vector_base< NumericT > const &x, vector_base< NumericT > const &y, NumericT &result)
template<typename NumericT >
void	norm_1_impl (vector_base< NumericT > const &x, scalar< NumericT > &result)
	Computes the l^1-norm of a vector. More...
template<typename NumericT >
void	norm_1_cpu (vector_base< NumericT > const &x, NumericT &result)
	Computes the l^1-norm of a vector with final reduction on CPU. More...
template<typename NumericT >
void	norm_2_impl (vector_base< NumericT > const &x, scalar< NumericT > &result)
	Computes the l^2-norm of a vector - implementation using OpenCL summation at second step. More...
template<typename NumericT >
void	norm_2_cpu (vector_base< NumericT > const &x, NumericT &result)
	Computes the l^1-norm of a vector with final reduction on CPU. More...
template<typename NumericT >
void	norm_inf_impl (vector_base< NumericT > const &x, scalar< NumericT > &result)
	Computes the supremum-norm of a vector. More...
template<typename NumericT >
void	norm_inf_cpu (vector_base< NumericT > const &x, NumericT &result)
	Computes the supremum-norm of a vector. More...
template<typename NumericT >
cl_uint	index_norm_inf (vector_base< NumericT > const &x)
	Computes the index of the first entry that is equal to the supremum-norm in modulus. More...
template<typename NumericT >
void	max_impl (vector_base< NumericT > const &x, scalar< NumericT > &result)
	Computes the maximum of a vector. More...
template<typename NumericT >
void	max_cpu (vector_base< NumericT > const &x, NumericT &result)
	Computes the supremum-norm of a vector. More...
template<typename NumericT >
void	min_impl (vector_base< NumericT > const &x, scalar< NumericT > &result)
	Computes the minimum of a vector. More...
template<typename NumericT >
void	min_cpu (vector_base< NumericT > const &x, NumericT &result)
	Computes the supremum-norm of a vector. More...
template<typename NumericT >
void	sum_impl (vector_base< NumericT > const &x, scalar< NumericT > &result)
	Computes the sum over all entries of a vector. More...
template<typename NumericT >
void	sum_cpu (vector_base< NumericT > const &x, NumericT &result)
	Computes the sum over all entries of a vector. More...
template<typename NumericT >
void	plane_rotation (vector_base< NumericT > &x, vector_base< NumericT > &y, NumericT alpha, NumericT beta)
	Computes a plane rotation of two vectors. More...
template<typename NumericT >
void	inclusive_scan (vector_base< NumericT > const &input, vector_base< NumericT > &output)
	This function implements an inclusive scan using CUDA. More...
template<typename NumericT >
void	exclusive_scan (vector_base< NumericT > const &input, vector_base< NumericT > &output)
	This function implements an exclusive scan using CUDA. More...

Variables
const std::string	BISECT_KERNEL_SMALL = "bisectKernelSmall"
const std::string	BISECT_KERNEL_LARGE = "bisectKernelLarge"
const std::string	BISECT_KERNEL_LARGE_ONE_INTERVALS = "bisectKernelLarge_OneIntervals"
const std::string	BISECT_KERNEL_LARGE_MULT_INTERVALS = "bisectKernelLarge_MultIntervals"
const std::string	SVD_BIDIAG_PACK_KERNEL = "bidiag_pack"
const std::string	SVD_HOUSEHOLDER_UPDATE_A_LEFT_KERNEL = "house_update_A_left"
const std::string	SVD_HOUSEHOLDER_UPDATE_A_RIGHT_KERNEL = "house_update_A_right"
const std::string	SVD_HOUSEHOLDER_UPDATE_QL_KERNEL = "house_update_QL"
const std::string	SVD_GIVENS_NEXT_KERNEL = "givens_next"
const std::string	SVD_COPY_COL_KERNEL = "copy_col"
const std::string	SVD_COPY_ROW_KERNEL = "copy_row"

Detailed Description

Holds all routines providing OpenCL linear algebra operations.

Function Documentation

template<typename NumericT , typename ScalarT1 >

void viennacl::linalg::opencl::am	(	matrix_base< NumericT > &	A,
		matrix_base< NumericT > const &	B,
		ScalarT1 const &	alpha,
		vcl_size_t	,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha
	)

Definition at line 118 of file matrix_operations.hpp.

template<typename NumericT , typename ScalarT1 , typename ScalarT2 >

void viennacl::linalg::opencl::ambm	(	matrix_base< NumericT > &	A,
		matrix_base< NumericT > const &	B,
		ScalarT1 const &	alpha,
		vcl_size_t	,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha,
		matrix_base< NumericT > const &	C,
		ScalarT2 const &	beta,
		vcl_size_t	,
		bool	reciprocal_beta,
		bool	flip_sign_beta
	)

Definition at line 136 of file matrix_operations.hpp.

template<typename NumericT , typename ScalarT1 , typename ScalarT2 >

void viennacl::linalg::opencl::ambm_m	(	matrix_base< NumericT > &	A,
		matrix_base< NumericT > const &	B,
		ScalarT1 const &	alpha,
		vcl_size_t	,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha,
		matrix_base< NumericT > const &	C,
		ScalarT2 const &	beta,
		vcl_size_t	,
		bool	reciprocal_beta,
		bool	flip_sign_beta
	)

Definition at line 159 of file matrix_operations.hpp.

template<typename ScalarT1 , typename ScalarT2 , typename NumericT >

viennacl::enable_if< viennacl::is_scalar<ScalarT1>::value && viennacl::is_scalar<ScalarT2>::value && viennacl::is_any_scalar<NumericT>::value >::type viennacl::linalg::opencl::as	(	ScalarT1 &	s1,
		ScalarT2 const &	s2,
		NumericT const &	alpha,
		vcl_size_t	len_alpha,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha
	)

Definition at line 54 of file scalar_operations.hpp.

template<typename ScalarT1 , typename ScalarT2 , typename NumericT2 , typename ScalarT3 , typename NumericT3 >

viennacl::enable_if< viennacl::is_scalar<ScalarT1>::value && viennacl::is_scalar<ScalarT2>::value && viennacl::is_scalar<ScalarT3>::value && viennacl::is_any_scalar<NumericT2>::value && viennacl::is_any_scalar<NumericT3>::value >::type viennacl::linalg::opencl::asbs	(	ScalarT1 &	s1,
		ScalarT2 const &	s2,
		NumericT2 const &	alpha,
		vcl_size_t	len_alpha,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha,
		ScalarT3 const &	s3,
		NumericT3 const &	beta,
		vcl_size_t	len_beta,
		bool	reciprocal_beta,
		bool	flip_sign_beta
	)

Definition at line 86 of file scalar_operations.hpp.

template<typename ScalarT1 , typename ScalarT2 , typename NumericT2 , typename ScalarT3 , typename NumericT3 >

viennacl::enable_if< viennacl::is_scalar<ScalarT1>::value && viennacl::is_scalar<ScalarT2>::value && viennacl::is_scalar<ScalarT3>::value && viennacl::is_any_scalar<NumericT2>::value && viennacl::is_any_scalar<NumericT3>::value >::type viennacl::linalg::opencl::asbs_s	(	ScalarT1 &	s1,
		ScalarT2 const &	s2,
		NumericT2 const &	alpha,
		vcl_size_t	len_alpha,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha,
		ScalarT3 const &	s3,
		NumericT3 const &	beta,
		vcl_size_t	len_beta,
		bool	reciprocal_beta,
		bool	flip_sign_beta
	)

Definition at line 135 of file scalar_operations.hpp.

template<typename NumericT , typename ScalarT1 >

void viennacl::linalg::opencl::av	(	vector_base< NumericT > &	x,
		vector_base< NumericT > const &	y,
		ScalarT1 const &	alpha,
		vcl_size_t	,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha
	)

Definition at line 76 of file vector_operations.hpp.

template<typename NumericT , typename ScalarT1 , typename ScalarT2 >

void viennacl::linalg::opencl::avbv	(	vector_base< NumericT > &	x,
		vector_base< NumericT > const &	y,
		ScalarT1 const &	alpha,
		vcl_size_t	,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha,
		vector_base< NumericT > const &	z,
		ScalarT2 const &	beta,
		vcl_size_t	,
		bool	reciprocal_beta,
		bool	flip_sign_beta
	)

Definition at line 92 of file vector_operations.hpp.

template<typename NumericT , typename ScalarT1 , typename ScalarT2 >

void viennacl::linalg::opencl::avbv_v	(	vector_base< NumericT > &	x,
		vector_base< NumericT > const &	y,
		ScalarT1 const &	alpha,
		vcl_size_t	,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha,
		vector_base< NumericT > const &	z,
		ScalarT2 const &	beta,
		vcl_size_t	,
		bool	reciprocal_beta,
		bool	flip_sign_beta
	)

Definition at line 115 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::bidiag_pack	(	matrix_base< NumericT > &	A,
		viennacl::vector< NumericT > &	dh,
		viennacl::vector< NumericT > &	sh
	)

Definition at line 426 of file matrix_operations.hpp.

template<typename SCALARTYPE , typename VectorType >

void viennacl::linalg::opencl::bidiag_pack_svd	(	viennacl::matrix< SCALARTYPE > &	A,
		VectorType &	dh,
		VectorType &	sh
	)

Definition at line 400 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::bisectLarge	(	const viennacl::linalg::detail::InputData< NumericT > &	input,
		viennacl::linalg::detail::ResultDataLarge< NumericT > &	result,
		const unsigned int	mat_size,
		const NumericT	lg,
		const NumericT	ug,
		const NumericT	precision
	)

Definition at line 79 of file bisect_kernel_calls.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::bisectLargeMultIntervals	(	const viennacl::linalg::detail::InputData< NumericT > &	input,
		viennacl::linalg::detail::ResultDataLarge< NumericT > &	result,
		const unsigned int	mat_size,
		const NumericT	precision
	)

Definition at line 145 of file bisect_kernel_calls.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::bisectLargeOneIntervals	(	const viennacl::linalg::detail::InputData< NumericT > &	input,
		viennacl::linalg::detail::ResultDataLarge< NumericT > &	result,
		const unsigned int	mat_size,
		const NumericT	precision
	)

Definition at line 116 of file bisect_kernel_calls.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::bisectSmall	(	const viennacl::linalg::detail::InputData< NumericT > &	input,
		viennacl::linalg::detail::ResultDataSmall< NumericT > &	result,
		const unsigned int	mat_size,
		const NumericT	lg,
		const NumericT	ug,
		const NumericT	precision
	)

Definition at line 49 of file bisect_kernel_calls.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::bluestein	(	viennacl::vector< NumericT, AlignmentV > &	in,
		viennacl::vector< NumericT, AlignmentV > &	out,
		vcl_size_t
	)

Bluestein's algorithm for computing Fourier transformation.

Currently, Works only for sizes of input data which less than 2^16. Uses a lot of additional memory, but should be fast for any size of data. Serial implementation has something about o(n * lg n) complexity

Definition at line 212 of file fft_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::complex_to_real	(	viennacl::vector_base< NumericT > const &	in,
		viennacl::vector_base< NumericT > &	out,
		vcl_size_t	size
	)

Create real vector from complex vector (even elements(2*k) = real part, odd elements(2*k+1) = imaginary part)

Definition at line 320 of file fft_operations.hpp.

template<typename DestNumericT , typename SrcNumericT >

void viennacl::linalg::opencl::convert	(	vector_base< DestNumericT > &	dest,
		vector_base< SrcNumericT > const &	src
	)

Definition at line 56 of file vector_operations.hpp.

template<typename DestNumericT , typename SrcNumericT >

void viennacl::linalg::opencl::convert	(	matrix_base< DestNumericT > &	dest,
		matrix_base< SrcNumericT > const &	src
	)

Definition at line 95 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::copy_vec	(	matrix_base< NumericT > &	A,
		vector_base< NumericT > &	V,
		vcl_size_t	row_start,
		vcl_size_t	col_start,
		bool	copy_col
	)

Definition at line 638 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::direct	(	viennacl::ocl::handle< cl_mem > const &	in,
		viennacl::ocl::handle< cl_mem > const &	out,
		vcl_size_t	size,
		vcl_size_t	stride,
		vcl_size_t	batch_num,
		NumericT	sign = NumericT(-1),
		viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::DATA_ORDER	data_order = viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR
	)

Direct algorithm for computing Fourier transformation.

Works on any sizes of data. Serial implementation has o(n^2) complexity

Definition at line 99 of file fft_operations.hpp.

template<typename NumericT , typename OP >

void viennacl::linalg::opencl::element_op	(	vector_base< NumericT > &	x,
		vector_expression< const vector_base< NumericT >, const vector_base< NumericT >, op_element_binary< OP > > const &	proxy
	)

Implementation of the element-wise operation v1 = v2 .* v3 and v1 = v2 ./ v3 (using MATLAB syntax)

Parameters

x	The result vector (or -range, or -slice)
proxy	The proxy object holding v2, v3 and the operation

Definition at line 175 of file vector_operations.hpp.

template<typename NumericT , typename OP >

void viennacl::linalg::opencl::element_op	(	vector_base< NumericT > &	x,
		vector_expression< const vector_base< NumericT >, const vector_base< NumericT >, op_element_unary< OP > > const &	proxy
	)

Implementation of unary element-wise operations v1 = OP(v2)

Parameters

x	The result vector (or -range, or -slice)
proxy	The proxy object holding v2 and the operation

Definition at line 194 of file vector_operations.hpp.

template<typename NumericT , typename OpT >

void viennacl::linalg::opencl::element_op	(	matrix_base< NumericT > &	A,
		matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_element_binary< OpT > > const &	proxy
	)

Implementation of binary element-wise operations A = OP(B,C)

Parameters

A	The result matrix (or -range, or -slice)
proxy	The proxy object holding B, C, and the operation

Definition at line 257 of file matrix_operations.hpp.

template<typename NumericT , typename OpT >

void viennacl::linalg::opencl::element_op	(	matrix_base< NumericT > &	A,
		matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_element_unary< OpT > > const &	proxy
	)

Implementation of unary element-wise operations A = OP(B)

Parameters

A	The result matrix (or -range, or -slice)
proxy	The proxy object holding B and the operation

Definition at line 279 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::exclusive_scan	(	vector_base< NumericT > const &	input,
		vector_base< NumericT > &	output
	)

This function implements an exclusive scan using CUDA.

Parameters

input	Input vector
output	The output vector. Either idential to input or non-overlapping.

Definition at line 597 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::extract_L	(	compressed_matrix< NumericT > const &	A,
		compressed_matrix< NumericT > &	L
	)

Definition at line 51 of file ilu_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::extract_LU	(	compressed_matrix< NumericT > const &	A,
		compressed_matrix< NumericT > &	L,
		compressed_matrix< NumericT > &	U
	)

Definition at line 137 of file ilu_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::givens_next	(	matrix_base< NumericT > &	matrix,
		vector_base< NumericT > &	tmp1,
		vector_base< NumericT > &	tmp2,
		int	l,
		int	m
	)

Definition at line 590 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::house_update_A_left	(	matrix_base< NumericT > &	A,
		vector_base< NumericT > &	D,
		vcl_size_t	start
	)

Definition at line 465 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::house_update_A_right	(	matrix_base< NumericT > &	A,
		vector_base< NumericT > &	D
	)

Definition at line 508 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::house_update_QL	(	matrix_base< NumericT > &	Q,
		vector_base< NumericT > &	D,
		vcl_size_t	A_size1
	)

Definition at line 552 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::icc_chow_patel_sweep	(	compressed_matrix< NumericT > &	L,
		vector< NumericT > const &	aij_L
	)

Performs one nonlinear relaxation step in the Chow-Patel-ILU using OpenMP (cf. Algorithm 2 in paper)

Definition at line 116 of file ilu_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::icc_scale	(	compressed_matrix< NumericT > const &	A,
		compressed_matrix< NumericT > &	L
	)

Scales the values extracted from A such that A' = DAD has unit diagonal. Updates values from A in L and U accordingly.

Definition at line 93 of file ilu_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::ilu_chow_patel_sweep	(	compressed_matrix< NumericT > &	L,
		vector< NumericT > const &	aij_L,
		compressed_matrix< NumericT > &	U_trans,
		vector< NumericT > const &	aij_U_trans
	)

Performs one nonlinear relaxation step in the Chow-Patel-ILU using OpenMP (cf. Algorithm 2 in paper)

Definition at line 213 of file ilu_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::ilu_form_neumann_matrix	(	compressed_matrix< NumericT > &	R,
		vector< NumericT > &	diag_R
	)

Definition at line 243 of file ilu_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::ilu_scale	(	compressed_matrix< NumericT > const &	A,
		compressed_matrix< NumericT > &	L,
		compressed_matrix< NumericT > &	U
	)

Scales the values extracted from A such that A' = DAD has unit diagonal. Updates values from A in L and U accordingly.

Definition at line 186 of file ilu_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::inclusive_scan	(	vector_base< NumericT > const &	input,
		vector_base< NumericT > &	output
	)

This function implements an inclusive scan using CUDA.

Parameters

input	Input vector.
output	The output vector. Either idential to input or non-overlapping.

Definition at line 584 of file vector_operations.hpp.

template<typename NumericT >

cl_uint viennacl::linalg::opencl::index_norm_inf

(

vector_base< NumericT > const &

x

)

Computes the index of the first entry that is equal to the supremum-norm in modulus.

Parameters

x	The vector

Returns

The result. Note that the result must be a CPU scalar (unsigned int), since gpu scalars are floating point types.

Definition at line 403 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::inner_prod_cpu	(	vector_base< NumericT > const &	x,
		vector_base< NumericT > const &	y,
		NumericT &	result
	)

Definition at line 283 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::inner_prod_impl	(	vector_base< NumericT > const &	x,
		vector_base< NumericT > const &	y,
		scalar< NumericT > &	result
	)

Computes the inner product of two vectors - implementation. Library users should call inner_prod(x, y).

Parameters

x	The first vector
y	The second vector
result	The result scalar (on the gpu)

Definition at line 215 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::inner_prod_impl	(	vector_base< NumericT > const &	x,
		vector_tuple< NumericT > const &	vec_tuple,
		vector_base< NumericT > &	result
	)

Computes multiple inner products where one argument is common to all inner products. <x, y1>, <x, y2>, ..., <x, yN>

Parameters

x	The common vector
vec_tuple	The tuple of vectors y1, y2, ..., yN
result	The result vector

Definition at line 247 of file vector_operations.hpp.

template<typename NumericT , typename SolverTagT >

void viennacl::linalg::opencl::inplace_solve	(	matrix_base< NumericT > const &	A,
		matrix_base< NumericT > &	B,
		SolverTagT
	)

Direct inplace solver for dense triangular systems. Matlab notation: A \ B.

Parameters

A	The system matrix
B	The matrix of row vectors, where the solution is directly written to

Definition at line 77 of file direct_solve.hpp.

template<typename NumericT , typename SOLVERTAG >

void viennacl::linalg::opencl::inplace_solve	(	matrix_base< NumericT > const &	A,
		vector_base< NumericT > &	x,
		SOLVERTAG
	)

Definition at line 127 of file direct_solve.hpp.

template<typename NumericT , unsigned int MAT_AlignmentV>

void viennacl::linalg::opencl::inplace_solve	(	compressed_matrix< NumericT, MAT_AlignmentV > const &	L,
		vector_base< NumericT > &	x,
		viennacl::linalg::unit_lower_tag
	)

Inplace solution of a lower triangular compressed_matrix with unit diagonal. Typically used for LU substitutions.

Parameters

L	The matrix
x	The vector holding the right hand side. Is overwritten by the solution.

Definition at line 350 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::inplace_solve	(	compressed_matrix< NumericT, AlignmentV > const &	L,
		vector_base< NumericT > &	x,
		viennacl::linalg::lower_tag
	)

Inplace solution of a lower triangular compressed_matrix. Typically used for LU substitutions.

Parameters

L	The matrix
x	The vector holding the right hand side. Is overwritten by the solution.

Definition at line 373 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::inplace_solve	(	compressed_matrix< NumericT, AlignmentV > const &	U,
		vector_base< NumericT > &	x,
		viennacl::linalg::unit_upper_tag
	)

Inplace solution of an upper triangular compressed_matrix with unit diagonal. Typically used for LU substitutions.

Parameters

U	The matrix
x	The vector holding the right hand side. Is overwritten by the solution.

Definition at line 398 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::inplace_solve	(	compressed_matrix< NumericT, AlignmentV > const &	U,
		vector_base< NumericT > &	x,
		viennacl::linalg::upper_tag
	)

Inplace solution of an upper triangular compressed_matrix. Typically used for LU substitutions.

Parameters

U	The matrix
x	The vector holding the right hand side. Is overwritten by the solution.

Definition at line 421 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::inplace_solve	(	matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &	proxy_L,
		vector_base< NumericT > &	x,
		viennacl::linalg::unit_lower_tag
	)

Inplace solution of a lower triangular compressed_matrix with unit diagonal. Typically used for LU substitutions.

Parameters

proxy_L	The transposed matrix proxy
x	The vector

Definition at line 506 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::inplace_solve	(	matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &	proxy_L,
		vector_base< NumericT > &	x,
		viennacl::linalg::lower_tag
	)

Inplace solution of a lower triangular compressed_matrix. Typically used for LU substitutions.

Parameters

proxy_L	The transposed matrix proxy
x	The vector

Definition at line 532 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::inplace_solve	(	matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &	proxy_U,
		vector_base< NumericT > &	x,
		viennacl::linalg::unit_upper_tag
	)

Inplace solution of a lower triangular compressed_matrix with unit diagonal. Typically used for LU substitutions.

Parameters

proxy_U	The transposed matrix proxy
x	The vector

Definition at line 562 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::inplace_solve	(	matrix_expression< const compressed_matrix< NumericT, AlignmentV >, const compressed_matrix< NumericT, AlignmentV >, op_trans > const &	proxy_U,
		vector_base< NumericT > &	x,
		viennacl::linalg::upper_tag
	)

Inplace solution of a lower triangular compressed_matrix. Typically used for LU substitutions.

Parameters

proxy_U	The transposed matrix proxy
x	The vector

Definition at line 588 of file sparse_matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::matrix_assign	(	matrix_base< NumericT > &	A,
		NumericT	s,
		bool	up_to_internal_size = false
	)

Definition at line 200 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::matrix_column	(	const matrix_base< NumericT > &	A,
		unsigned int	j,
		vector_base< NumericT > &	vec
	)

Definition at line 239 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::matrix_diag_from_vector	(	const vector_base< NumericT > &	vec,
		int	k,
		matrix_base< NumericT > &	A
	)

Definition at line 218 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::matrix_diag_to_vector	(	const matrix_base< NumericT > &	A,
		int	k,
		vector_base< NumericT > &	vec
	)

Definition at line 225 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::matrix_diagonal_assign	(	matrix_base< NumericT > &	A,
		NumericT	s
	)

Definition at line 210 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::matrix_row	(	const matrix_base< NumericT > &	A,
		unsigned int	i,
		vector_base< NumericT > &	vec
	)

Definition at line 232 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::max_cpu	(	vector_base< NumericT > const &	x,
		NumericT &	result
	)

Computes the supremum-norm of a vector.

Parameters

x	The vector
result	The result scalar

Definition at line 435 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::max_impl	(	vector_base< NumericT > const &	x,
		scalar< NumericT > &	result
	)

Computes the maximum of a vector.

Parameters

x	The vector
result	The result scalar

Definition at line 420 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::min_cpu	(	vector_base< NumericT > const &	x,
		NumericT &	result
	)

Computes the supremum-norm of a vector.

Parameters

x	The vector
result	The result scalar

Definition at line 467 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::min_impl	(	vector_base< NumericT > const &	x,
		scalar< NumericT > &	result
	)

Computes the minimum of a vector.

Parameters

x	The vector
result	The result scalar

Definition at line 452 of file vector_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::multiply_complex	(	viennacl::vector< NumericT, AlignmentV > const &	input1,
		viennacl::vector< NumericT, AlignmentV > const &	input2,
		viennacl::vector< NumericT, AlignmentV > &	output
	)

Mutiply two complex vectors and store result in output.

Definition at line 246 of file fft_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::nmf	(	viennacl::matrix_base< NumericT > const &	V,
		viennacl::matrix_base< NumericT > &	W,
		viennacl::matrix_base< NumericT > &	H,
		viennacl::linalg::nmf_config const &	conf
	)

The nonnegative matrix factorization (approximation) algorithm as suggested by Lee and Seung. Factorizes a matrix V with nonnegative entries into matrices W and H such that ||V - W*H|| is minimized.

Parameters

V	Input matrix
W	First factor
H	Second factor
conf	A configuration object holding tolerances and the like

Definition at line 45 of file nmf_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::norm_1_cpu	(	vector_base< NumericT > const &	x,
		NumericT &	result
	)

Computes the l^1-norm of a vector with final reduction on CPU.

Parameters

x	The vector
result	The result scalar

Definition at line 316 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::norm_1_impl	(	vector_base< NumericT > const &	x,
		scalar< NumericT > &	result
	)

Computes the l^1-norm of a vector.

Parameters

x	The vector
result	The result scalar

Definition at line 301 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::norm_2_cpu	(	vector_base< NumericT > const &	x,
		NumericT &	result
	)

Computes the l^1-norm of a vector with final reduction on CPU.

Parameters

x	The vector
result	The result scalar

Definition at line 350 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::norm_2_impl	(	vector_base< NumericT > const &	x,
		scalar< NumericT > &	result
	)

Computes the l^2-norm of a vector - implementation using OpenCL summation at second step.

Parameters

x	The vector
result	The result scalar

Definition at line 335 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::norm_inf_cpu	(	vector_base< NumericT > const &	x,
		NumericT &	result
	)

Computes the supremum-norm of a vector.

Parameters

x	The vector
result	The result scalar

Definition at line 383 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::norm_inf_impl	(	vector_base< NumericT > const &	x,
		scalar< NumericT > &	result
	)

Computes the supremum-norm of a vector.

Parameters

x	The vector
result	The result scalar

Definition at line 368 of file vector_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::normalize

(

viennacl::vector< NumericT, AlignmentV > &

input

)

Normalize vector on with his own size.

Definition at line 261 of file fft_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_bicgstab_prod	(	compressed_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > const &	r0star,
		vector_base< NumericT > &	inner_prod_buffer,
		vcl_size_t	buffer_chunk_size,
		vcl_size_t	buffer_chunk_offset
	)

Definition at line 361 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_bicgstab_prod	(	coordinate_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > const &	r0star,
		vector_base< NumericT > &	inner_prod_buffer,
		vcl_size_t	buffer_chunk_size,
		vcl_size_t	buffer_chunk_offset
	)

Definition at line 420 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_bicgstab_prod	(	ell_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > const &	r0star,
		vector_base< NumericT > &	inner_prod_buffer,
		vcl_size_t	buffer_chunk_size,
		vcl_size_t	buffer_chunk_offset
	)

Definition at line 459 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_bicgstab_prod	(	sliced_ell_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > const &	r0star,
		vector_base< NumericT > &	inner_prod_buffer,
		vcl_size_t	buffer_chunk_size,
		vcl_size_t	buffer_chunk_offset
	)

Definition at line 506 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_bicgstab_prod	(	hyb_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > const &	r0star,
		vector_base< NumericT > &	inner_prod_buffer,
		vcl_size_t	buffer_chunk_size,
		vcl_size_t	buffer_chunk_offset
	)

Definition at line 551 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_bicgstab_update_s	(	vector_base< NumericT > &	s,
		vector_base< NumericT > &	r,
		vector_base< NumericT > const &	Ap,
		vector_base< NumericT > &	inner_prod_buffer,
		vcl_size_t	buffer_chunk_size,
		vcl_size_t	buffer_chunk_offset
	)

Definition at line 296 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_bicgstab_vector_update	(	vector_base< NumericT > &	result,
		NumericT	alpha,
		vector_base< NumericT > &	p,
		NumericT	omega,
		vector_base< NumericT > const &	s,
		vector_base< NumericT > &	residual,
		vector_base< NumericT > const &	As,
		NumericT	beta,
		vector_base< NumericT > const &	Ap,
		vector_base< NumericT > const &	r0star,
		vector_base< NumericT > &	inner_prod_buffer,
		vcl_size_t	buffer_chunk_size
	)

Definition at line 327 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_cg_prod	(	compressed_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > &	inner_prod_buffer
	)

Definition at line 79 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_cg_prod	(	coordinate_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > &	inner_prod_buffer
	)

Definition at line 132 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_cg_prod	(	ell_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > &	inner_prod_buffer
	)

Definition at line 166 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_cg_prod	(	sliced_ell_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > &	inner_prod_buffer
	)

Definition at line 208 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_cg_prod	(	hyb_matrix< NumericT > const &	A,
		vector_base< NumericT > const &	p,
		vector_base< NumericT > &	Ap,
		vector_base< NumericT > &	inner_prod_buffer
	)

Definition at line 248 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::pipelined_cg_vector_update	(	vector_base< NumericT > &	result,
		NumericT	alpha,
		vector_base< NumericT > &	p,
		vector_base< NumericT > &	r,
		vector_base< NumericT > const &	Ap,
		NumericT	beta,
		vector_base< NumericT > &	inner_prod_buffer
	)

Definition at line 52 of file iterative_operations.hpp.

template<typename T >

void viennacl::linalg::opencl::pipelined_gmres_gram_schmidt_stage1	(	vector_base< T > const &	device_krylov_basis,
		vcl_size_t	v_k_size,
		vcl_size_t	v_k_internal_size,
		vcl_size_t	param_k,
		vector_base< T > &	vi_in_vk_buffer,
		vcl_size_t	buffer_chunk_size
	)

Definition at line 643 of file iterative_operations.hpp.

template<typename T >

void viennacl::linalg::opencl::pipelined_gmres_gram_schmidt_stage2	(	vector_base< T > &	device_krylov_basis,
		vcl_size_t	v_k_size,
		vcl_size_t	v_k_internal_size,
		vcl_size_t	param_k,
		vector_base< T > const &	vi_in_vk_buffer,
		vector_base< T > &	R_buffer,
		vcl_size_t	krylov_dim,
		vector_base< T > &	inner_prod_buffer,
		vcl_size_t	buffer_chunk_size
	)

Definition at line 668 of file iterative_operations.hpp.

template<typename T >

void viennacl::linalg::opencl::pipelined_gmres_normalize_vk	(	vector_base< T > &	v_k,
		vector_base< T > const &	residual,
		vector_base< T > &	R_buffer,
		vcl_size_t	offset_in_R,
		vector_base< T > const &	inner_prod_buffer,
		vector_base< T > &	r_dot_vk_buffer,
		vcl_size_t	buffer_chunk_size,
		vcl_size_t	buffer_chunk_offset
	)

Performs a vector normalization needed for an efficient pipelined GMRES algorithm.

This routines computes for vectors 'r', 'v_k': Second reduction step for ||v_k|| v_k /= ||v_k|| First reduction step for <r, v_k>

Definition at line 610 of file iterative_operations.hpp.

template<typename T >

void viennacl::linalg::opencl::pipelined_gmres_prod	(	compressed_matrix< T > const &	A,
		vector_base< T > const &	p,
		vector_base< T > &	Ap,
		vector_base< T > &	inner_prod_buffer
	)

Definition at line 728 of file iterative_operations.hpp.

template<typename T >

void viennacl::linalg::opencl::pipelined_gmres_prod	(	coordinate_matrix< T > const &	A,
		vector_base< T > const &	p,
		vector_base< T > &	Ap,
		vector_base< T > &	inner_prod_buffer
	)

Definition at line 782 of file iterative_operations.hpp.

template<typename T >

void viennacl::linalg::opencl::pipelined_gmres_prod	(	ell_matrix< T > const &	A,
		vector_base< T > const &	p,
		vector_base< T > &	Ap,
		vector_base< T > &	inner_prod_buffer
	)

Definition at line 819 of file iterative_operations.hpp.

template<typename T >

void viennacl::linalg::opencl::pipelined_gmres_prod	(	sliced_ell_matrix< T > const &	A,
		vector_base< T > const &	p,
		vector_base< T > &	Ap,
		vector_base< T > &	inner_prod_buffer
	)

Definition at line 857 of file iterative_operations.hpp.

template<typename T >

void viennacl::linalg::opencl::pipelined_gmres_prod	(	hyb_matrix< T > const &	A,
		vector_base< T > const &	p,
		vector_base< T > &	Ap,
		vector_base< T > &	inner_prod_buffer
	)

Definition at line 899 of file iterative_operations.hpp.

template<typename T >

void viennacl::linalg::opencl::pipelined_gmres_update_result	(	vector_base< T > &	result,
		vector_base< T > const &	residual,
		vector_base< T > const &	krylov_basis,
		vcl_size_t	v_k_size,
		vcl_size_t	v_k_internal_size,
		vector_base< T > const &	coefficients,
		vcl_size_t	param_k
	)

Definition at line 700 of file iterative_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::plane_rotation	(	vector_base< NumericT > &	x,
		vector_base< NumericT > &	y,
		NumericT	alpha,
		NumericT	beta
	)

Computes a plane rotation of two vectors.

Computes (x,y) <- (alpha * x + beta * y, -beta * x + alpha * y)

Parameters

x	The first vector
y	The second vector
alpha	The first transformation coefficient
beta	The second transformation coefficient

Definition at line 517 of file vector_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::vandermonde_matrix< NumericT, AlignmentV > const &	A,
		viennacl::vector_base< NumericT > const &	x,
		viennacl::vector_base< NumericT > &	y
	)

Carries out matrix-vector multiplication with a vandermonde_matrix.

Implementation of the convenience expression y = prod(A, x);

Parameters

A	The Vandermonde matrix
x	The vector
y	The result vector

Definition at line 49 of file vandermonde_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	const viennacl::compressed_matrix< NumericT, AlignmentV > &	A,
		const viennacl::vector_base< NumericT > &	x,
		viennacl::vector_base< NumericT > &	y
	)

Carries out matrix-vector multiplication with a compressed_matrix.

Implementation of the convenience expression y = prod(A, x);

Parameters

A	The matrix
x	The vector
y	the result vector

Definition at line 81 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	const viennacl::compressed_matrix< NumericT, AlignmentV > &	sp_A,
		const viennacl::matrix_base< NumericT > &	d_A,
		viennacl::matrix_base< NumericT > &	y
	)

Carries out sparse_matrix-matrix multiplication first matrix being compressed.

Implementation of the convenience expression y = prod(sp_A, d_A);

Parameters

sp_A	The sparse matrix
d_A	The dense matrix
y	The y matrix

Definition at line 159 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::compressed_matrix< NumericT, AlignmentV > const &	sp_A,
		viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > const &	d_A,
		viennacl::matrix_base< NumericT > &	y
	)

Carries out matrix-trans(matrix) multiplication first matrix being compressed and the second transposed.

Implementation of the convenience expression y = prod(sp_A, d_A);

Parameters

sp_A	The sparse matrix
d_A	The transposed dense matrix
y	The y matrix

Definition at line 191 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::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.

Implementation of the convenience expression C = prod(A, B); Based on computing C(i, :) = A(i, :) * B via merging the respective rows of B

Parameters

A	Left factor
B	Right factor
C	Result matrix

Definition at line 225 of file sparse_matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::prod_impl	(	const matrix_base< NumericT > &	A,
		bool	trans_A,
		const vector_base< NumericT > &	vec,
		vector_base< NumericT > &	result
	)

Carries out matrix-vector multiplication.

Implementation of the convenience expression result = prod(A, vec);

Parameters

A	The matrix
trans_A	Whether the matrix A should be transposed
vec	The vector
result	The result vector

Definition at line 305 of file matrix_operations.hpp.

template<typename NumericT , typename ScalarType >

void viennacl::linalg::opencl::prod_impl	(	matrix_base< NumericT > const &	A,
		bool	A_trans,
		matrix_base< NumericT > const &	B,
		bool	B_trans,
		matrix_base< NumericT > &	C,
		ScalarType	alpha,
		ScalarType	beta
	)

Carries out matrix-matrix multiplication.

Implementation of C = prod(A, B);

Definition at line 326 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::prod_impl	(	viennacl::compressed_compressed_matrix< NumericT > const &	A,
		viennacl::vector_base< NumericT > const &	x,
		viennacl::vector_base< NumericT > &	y
	)

Carries out matrix-vector multiplication with a compressed_compressed_matrix.

Implementation of the convenience expression y = prod(A, x);

Parameters

A	The matrix
x	The vector
y	the result vector

Definition at line 626 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::coordinate_matrix< NumericT, AlignmentV > const &	A,
		viennacl::vector_base< NumericT > const &	x,
		viennacl::vector_base< NumericT > &	y
	)

Carries out matrix-vector multiplication with a coordinate_matrix.

Implementation of the convenience expression y = prod(A, x);

Parameters

A	The matrix
x	The vector
y	the result vector

Definition at line 691 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::coordinate_matrix< NumericT, AlignmentV > const &	A,
		viennacl::matrix_base< NumericT > const &	d_A,
		viennacl::matrix_base< NumericT > &	y
	)

Carries out sparse-matrix-dense-matrix multiplication, where the sparse matrix is a coordinate_matrix.

Implementation of the convenience expression y = prod(A, B); with A being sparse (COO) and B being dense

Parameters

A	The sparse matrix (COO forA)
d_A	The dense matrix
y	the result vector

Definition at line 741 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::coordinate_matrix< NumericT, AlignmentV > const &	A,
		viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > const &	d_A,
		viennacl::matrix_base< NumericT > &	y
	)

Carries out sparse-matrix-dense-matrix multiplication, where the sparse matrix is a coordinate_matrix.

Implementation of the convenience expression y = prod(A, trans(B)); with A being sparse (COO) and B being dense

Parameters

A	The sparse matrix (COO forA)
d_A	The dense matrix
y	the result vector

Definition at line 782 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::ell_matrix< NumericT, AlignmentV > const &	A,
		viennacl::vector_base< NumericT > const &	x,
		viennacl::vector_base< NumericT > &	y
	)

Definition at line 822 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::ell_matrix< NumericT, AlignmentV > const &	sp_A,
		viennacl::matrix_base< NumericT > const &	d_A,
		viennacl::matrix_base< NumericT > &	y
	)

Carries out Sparse Matrix(ELL)-Dense Matrix multiplication.

Implementation of the convenience expression y = prod(sp_A, d_A); sp_mat being in ELL format

Parameters

sp_A	The sparse matrix (ELL)
d_A	The dense matrix
y	The y matrix

Definition at line 882 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::ell_matrix< NumericT, AlignmentV > const &	sp_A,
		viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > const &	d_A,
		viennacl::matrix_base< NumericT > &	y
	)

Carries out Sparse Matrix(ELL)-Dense Transposed Matrix multiplication.

Implementation of the convenience expression y = prod(sp_A, trans(d_A)); sp_mat being in ELL format

Parameters

sp_A	The sparse matrix (ELL)
d_A	The dense transposed matrix
y	The y matrix

Definition at line 927 of file sparse_matrix_operations.hpp.

template<typename ScalarT , typename IndexT >

void viennacl::linalg::opencl::prod_impl	(	viennacl::sliced_ell_matrix< ScalarT, IndexT > const &	A,
		viennacl::vector_base< ScalarT > const &	x,
		viennacl::vector_base< ScalarT > &	y
	)

Definition at line 969 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::hyb_matrix< NumericT, AlignmentV > const &	A,
		viennacl::vector_base< NumericT > const &	x,
		viennacl::vector_base< NumericT > &	y
	)

Definition at line 1023 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::hyb_matrix< NumericT, AlignmentV > const &	A,
		viennacl::matrix_base< NumericT > const &	d_A,
		viennacl::matrix_base< NumericT > &	y
	)

Definition at line 1065 of file sparse_matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::prod_impl	(	viennacl::hyb_matrix< NumericT, AlignmentV > const &	A,
		viennacl::matrix_expression< const viennacl::matrix_base< NumericT >, const viennacl::matrix_base< NumericT >, viennacl::op_trans > const &	d_A,
		viennacl::matrix_base< NumericT > &	y
	)

Definition at line 1098 of file sparse_matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::radix2	(	viennacl::ocl::handle< cl_mem > const &	in,
		vcl_size_t	size,
		vcl_size_t	stride,
		vcl_size_t	batch_num,
		NumericT	sign = NumericT(-1),
		viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::DATA_ORDER	data_order = viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR
	)

Radix-2 algorithm for computing Fourier transformation.

Works only on power-of-two sizes of data. Serial implementation has o(n * lg n) complexity. This is a Cooley-Tukey algorithm

Definition at line 161 of file fft_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::real_to_complex	(	viennacl::vector_base< NumericT > const &	in,
		viennacl::vector_base< NumericT > &	out,
		vcl_size_t	size
	)

Create complex vector from real vector (even elements(2*k) = real part, odd elements(2*k+1) = imaginary part)

Definition at line 306 of file fft_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::reorder	(	viennacl::ocl::handle< cl_mem > const &	in,
		vcl_size_t	size,
		vcl_size_t	stride,
		vcl_size_t	bits_datasize,
		vcl_size_t	batch_num,
		viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::DATA_ORDER	data_order = viennacl::linalg::host_based::detail::fft::FFT_DATA_ORDER::ROW_MAJOR
	)

Definition at line 130 of file fft_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::reverse

(

viennacl::vector_base< NumericT > &

in

)

Reverse vector to oposite order and save it in input vector.

Definition at line 334 of file fft_operations.hpp.

template<typename NumericT , typename ScalarT1 >

void viennacl::linalg::opencl::scaled_rank_1_update	(	matrix_base< NumericT > &	A,
		ScalarT1 const &	alpha,
		vcl_size_t	len_alpha,
		bool	reciprocal_alpha,
		bool	flip_sign_alpha,
		const vector_base< NumericT > &	vec1,
		const vector_base< NumericT > &	vec2
	)

The implementation of the operation mat += alpha * vec1 * vec2^T, i.e. a scaled rank 1 update.

Implementation of the convenience expression result += alpha * outer_prod(vec1, vec2);

Parameters

A	The matrix to be updated
alpha	The scaling factor (either a viennacl::scalar<>, float, or double)
len_alpha	Length of the buffer for an eventual final reduction step (currently always '1')
reciprocal_alpha	Use 1/alpha instead of alpha
flip_sign_alpha	Use -alpha instead of alpha
vec1	The first vector
vec2	The second vector

Definition at line 364 of file matrix_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::sum_cpu	(	vector_base< NumericT > const &	x,
		NumericT &	result
	)

Computes the sum over all entries of a vector.

Parameters

x	The vector
result	The result scalar

Definition at line 498 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::sum_impl	(	vector_base< NumericT > const &	x,
		scalar< NumericT > &	result
	)

Computes the sum over all entries of a vector.

Parameters

x	The vector
result	The result scalar

Definition at line 483 of file vector_operations.hpp.

template<typename ScalarT1 , typename ScalarT2 >

viennacl::enable_if< viennacl::is_scalar<ScalarT1>::value && viennacl::is_scalar<ScalarT2>::value >::type viennacl::linalg::opencl::swap	(	ScalarT1 &	s1,
		ScalarT2 &	s2
	)

Swaps the contents of two scalars, data is copied.

Parameters

s1	The first scalar
s2	The second scalar

Definition at line 182 of file scalar_operations.hpp.

template<typename NumericT , typename SizeT , typename DistanceT >

void viennacl::linalg::opencl::trans	(	const matrix_expression< const matrix_base< NumericT, SizeT, DistanceT >, const matrix_base< NumericT, SizeT, DistanceT >, op_trans > &	proxy,
		matrix_base< NumericT > &	temp_trans
	)

Definition at line 182 of file matrix_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::transpose

(

viennacl::matrix< NumericT, viennacl::row_major, AlignmentV > &

input

)

Inplace_transpose matrix.

Definition at line 277 of file fft_operations.hpp.

template<typename NumericT , unsigned int AlignmentV>

void viennacl::linalg::opencl::transpose	(	viennacl::matrix< NumericT, viennacl::row_major, AlignmentV > const &	input,
		viennacl::matrix< NumericT, viennacl::row_major, AlignmentV > &	output
	)

Transpose matrix.

Definition at line 291 of file fft_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::vector_assign	(	vector_base< NumericT > &	x,
		const NumericT &	alpha,
		bool	up_to_internal_size = false
	)

Assign a constant value to a vector (-range/-slice)

Parameters

x	The vector to which the value should be assigned
alpha	The value to be assigned
up_to_internal_size	Specifies whether alpha should also be written to padded memory (mostly used for clearing the whole buffer).

Definition at line 144 of file vector_operations.hpp.

template<typename NumericT >

void viennacl::linalg::opencl::vector_swap	(	vector_base< NumericT > &	x,
		vector_base< NumericT > &	y
	)

Swaps the contents of two vectors, data is copied.

Parameters

x	The first vector (or -range, or -slice)
y	The second vector (or -range, or -slice)

Definition at line 160 of file vector_operations.hpp.

Variable Documentation

const std::string viennacl::linalg::opencl::BISECT_KERNEL_LARGE = "bisectKernelLarge"

Definition at line 44 of file bisect_kernel_calls.hpp.

const std::string viennacl::linalg::opencl::BISECT_KERNEL_LARGE_MULT_INTERVALS = "bisectKernelLarge_MultIntervals"

Definition at line 46 of file bisect_kernel_calls.hpp.

const std::string viennacl::linalg::opencl::BISECT_KERNEL_LARGE_ONE_INTERVALS = "bisectKernelLarge_OneIntervals"

Definition at line 45 of file bisect_kernel_calls.hpp.

const std::string viennacl::linalg::opencl::BISECT_KERNEL_SMALL = "bisectKernelSmall"

Definition at line 43 of file bisect_kernel_calls.hpp.

const std::string viennacl::linalg::opencl::SVD_BIDIAG_PACK_KERNEL = "bidiag_pack"

Definition at line 86 of file matrix_operations.hpp.

const std::string viennacl::linalg::opencl::SVD_COPY_COL_KERNEL = "copy_col"

Definition at line 91 of file matrix_operations.hpp.

const std::string viennacl::linalg::opencl::SVD_COPY_ROW_KERNEL = "copy_row"

Definition at line 92 of file matrix_operations.hpp.

const std::string viennacl::linalg::opencl::SVD_GIVENS_NEXT_KERNEL = "givens_next"

Definition at line 90 of file matrix_operations.hpp.

const std::string viennacl::linalg::opencl::SVD_HOUSEHOLDER_UPDATE_A_LEFT_KERNEL = "house_update_A_left"

Definition at line 87 of file matrix_operations.hpp.

const std::string viennacl::linalg::opencl::SVD_HOUSEHOLDER_UPDATE_A_RIGHT_KERNEL = "house_update_A_right"

Definition at line 88 of file matrix_operations.hpp.

const std::string viennacl::linalg::opencl::SVD_HOUSEHOLDER_UPDATE_QL_KERNEL = "house_update_QL"

Definition at line 89 of file matrix_operations.hpp.