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515 lines
27 KiB
C
515 lines
27 KiB
C
/*! \file */
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/* ************************************************************************
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* Copyright (C) 2023 Advanced Micro Devices, Inc. All rights Reserved.
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the Software), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED AS IS, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*
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* ************************************************************************ */
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#ifndef ROCSPARSE_CSRSV_H
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#define ROCSPARSE_CSRSV_H
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#include "../../rocsparse-types.h"
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#include "rocsparse/rocsparse-export.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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/*! \ingroup level2_module
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* \details
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* \p rocsparse_csrsv_zero_pivot returns \ref rocsparse_status_zero_pivot if either a
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* structural or numerical zero has been found during \ref rocsparse_scsrsv_solve "rocsparse_Xcsrsv_solve()"
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* computation. The first zero pivot \f$j\f$ at \f$A_{j,j}\f$ is stored in \p position,
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* using the same index base as the CSR matrix.
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*
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* \p position can be in host or device memory. If no zero pivot has been found,
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* \p position is set to -1 and \ref rocsparse_status_success is returned instead.
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*
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* \note \p rocsparse_csrsv_zero_pivot is a blocking function. It might negatively influence
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* performance.
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*
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* \note
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* This routine does not support execution in a hipGraph context.
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*
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* @param[in]
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* handle handle to the rocSPARSE library context queue.
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* @param[in]
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* descr descriptor of the sparse CSR matrix.
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* @param[in]
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* info structure that holds the information collected during the analysis step.
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* @param[inout]
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* position pointer to zero pivot \f$j\f$, can be in host or device memory.
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*
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* \retval rocsparse_status_success the operation completed successfully.
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* \retval rocsparse_status_invalid_handle the library context was not initialized.
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* \retval rocsparse_status_invalid_pointer \p info or \p position pointer is
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* invalid.
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* \retval rocsparse_status_internal_error an internal error occurred.
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* \retval rocsparse_status_zero_pivot zero pivot has been found.
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*/
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_csrsv_zero_pivot(rocsparse_handle handle,
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const rocsparse_mat_descr descr,
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rocsparse_mat_info info,
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rocsparse_int* position);
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/*! \ingroup level2_module
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* \details
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* \p rocsparse_csrsv_buffer_size returns the size of the temporary storage buffer that
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* is required by \ref rocsparse_scsrsv_analysis "rocsparse_Xcsrsv_analysis()" and
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* \ref rocsparse_scsrsv_solve "rocsparse_Xcsrsv_solve()". The temporary storage buffer
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* must be allocated by the user. The size of the temporary storage buffer is identical
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* to the size returned by \ref rocsparse_scsrilu0_buffer_size "rocsparse_Xcsrilu0_buffer_size()"
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* if the matrix sparsity pattern is identical. The user-allocated buffer can therefore be shared
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* between subsequent calls to those functions.
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*
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* \note
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* This function is non-blocking and executed asynchronously with respect to the host.
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* It can return before the actual computation has finished.
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*
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* \note
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* This routine supports execution in a hipGraph context.
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*
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* @param[in]
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* handle handle to the rocSPARSE library context queue.
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* @param[in]
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* trans matrix operation type.
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* @param[in]
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* m number of rows of the sparse CSR matrix.
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* @param[in]
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* nnz number of non-zero entries of the sparse CSR matrix.
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* @param[in]
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* descr descriptor of the sparse CSR matrix.
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* @param[in]
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* csr_val array of \p nnz elements of the sparse CSR matrix.
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* @param[in]
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* csr_row_ptr array of \p m+1 elements that point to the start of every row of the
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* sparse CSR matrix.
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* @param[in]
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* csr_col_ind array of \p nnz elements containing the column indices of the sparse
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* CSR matrix.
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* @param[out]
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* info structure that holds the information collected during the analysis step.
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* @param[out]
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* buffer_size number of bytes of the temporary storage buffer required by
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* \ref rocsparse_scsrsv_analysis "rocsparse_Xcsrsv_analysis()" and
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* \ref rocsparse_scsrsv_solve "rocsparse_Xcsrsv_solve()".
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*
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* \retval rocsparse_status_success the operation completed successfully.
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* \retval rocsparse_status_invalid_handle the library context was not initialized.
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* \retval rocsparse_status_invalid_size \p m or \p nnz is invalid.
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* \retval rocsparse_status_invalid_pointer \p descr, \p csr_val, \p csr_row_ptr,
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* \p csr_col_ind, \p info, or \p buffer_size pointer is invalid.
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* \retval rocsparse_status_internal_error an internal error occurred.
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* \retval rocsparse_status_not_implemented
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* \p trans == \ref rocsparse_operation_conjugate_transpose or
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* \ref rocsparse_matrix_type != \ref rocsparse_matrix_type_general.
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*/
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/**@{*/
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_scsrsv_buffer_size(rocsparse_handle handle,
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rocsparse_operation trans,
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rocsparse_int m,
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rocsparse_int nnz,
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const rocsparse_mat_descr descr,
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const float* csr_val,
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const rocsparse_int* csr_row_ptr,
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const rocsparse_int* csr_col_ind,
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rocsparse_mat_info info,
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size_t* buffer_size);
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_dcsrsv_buffer_size(rocsparse_handle handle,
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rocsparse_operation trans,
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rocsparse_int m,
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rocsparse_int nnz,
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const rocsparse_mat_descr descr,
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const double* csr_val,
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const rocsparse_int* csr_row_ptr,
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const rocsparse_int* csr_col_ind,
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rocsparse_mat_info info,
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size_t* buffer_size);
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_ccsrsv_buffer_size(rocsparse_handle handle,
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rocsparse_operation trans,
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rocsparse_int m,
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rocsparse_int nnz,
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const rocsparse_mat_descr descr,
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const rocsparse_float_complex* csr_val,
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const rocsparse_int* csr_row_ptr,
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const rocsparse_int* csr_col_ind,
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rocsparse_mat_info info,
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size_t* buffer_size);
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_zcsrsv_buffer_size(rocsparse_handle handle,
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rocsparse_operation trans,
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rocsparse_int m,
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rocsparse_int nnz,
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const rocsparse_mat_descr descr,
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const rocsparse_double_complex* csr_val,
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const rocsparse_int* csr_row_ptr,
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const rocsparse_int* csr_col_ind,
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rocsparse_mat_info info,
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size_t* buffer_size);
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/**@}*/
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/*! \ingroup level2_module
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* \details
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* \p rocsparse_csrsv_analysis performs the analysis step for
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* \ref rocsparse_scsrsv_solve "rocsparse_Xcsrsv_solve()". It is expected that this
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* function will be executed only once for a given matrix and particular operation
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* type. The analysis metadata can be cleared by \ref rocsparse_csrsv_clear().
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*
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* If the matrix sparsity pattern changes, the gathered information will become invalid. To perform another
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* sparse triangular solve with a matrix having a different sparsity pattern, either destroy
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* the old \p info object and create a new one or clear the existing \p info object using
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* \ref rocsparse_csrsv_clear(). In both cases, the analysis will need to be called again.
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*
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* \p rocsparse_csrsv_analysis can share its meta data with
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* \ref rocsparse_scsrsm_analysis "rocsparse_Xcsrsm_analysis()",
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* \ref rocsparse_scsrilu0_analysis "rocsparse_Xcsrilu0_analysis()", and
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* \ref rocsparse_scsric0_analysis "rocsparse_Xcsric0_analysis()". Selecting
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* \ref rocsparse_analysis_policy_reuse policy can greatly improve the computation
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* performance of the metadata. However, the user needs to ensure that the sparsity
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* pattern remains unchanged. If this cannot be assured,
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* \ref rocsparse_analysis_policy_force must be used.
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*
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* \note
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* If the matrix sparsity pattern changes, the gathered information will become invalid.
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*
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* \note
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* This function is blocking with respect to the host.
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*
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* \note
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* This routine does not support execution in a hipGraph context.
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*
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* @param[in]
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* handle handle to the rocSPARSE library context queue.
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* @param[in]
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* trans matrix operation type.
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* @param[in]
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* m number of rows of the sparse CSR matrix.
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* @param[in]
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* nnz number of non-zero entries of the sparse CSR matrix.
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* @param[in]
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* descr descriptor of the sparse CSR matrix.
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* @param[in]
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* csr_val array of \p nnz elements of the sparse CSR matrix.
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* @param[in]
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* csr_row_ptr array of \p m+1 elements that point to the start of every row of the
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* sparse CSR matrix.
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* @param[in]
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* csr_col_ind array of \p nnz elements containing the column indices of the sparse
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* CSR matrix.
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* @param[out]
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* info structure that holds the information collected during
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* the analysis step.
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* @param[in]
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* analysis \ref rocsparse_analysis_policy_reuse or
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* \ref rocsparse_analysis_policy_force.
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* @param[in]
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* solve \ref rocsparse_solve_policy_auto.
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* @param[in]
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* temp_buffer temporary storage buffer allocated by the user.
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*
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* \retval rocsparse_status_success the operation completed successfully.
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* \retval rocsparse_status_invalid_handle the library context was not initialized.
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* \retval rocsparse_status_invalid_size \p m or \p nnz is invalid.
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* \retval rocsparse_status_invalid_pointer \p descr, \p csr_row_ptr,
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* \p csr_col_ind, \p info, or \p temp_buffer pointer is invalid.
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* \retval rocsparse_status_internal_error an internal error occurred.
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* \retval rocsparse_status_not_implemented
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* \p trans == \ref rocsparse_operation_conjugate_transpose or
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* \ref rocsparse_matrix_type != \ref rocsparse_matrix_type_general.
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*/
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/**@{*/
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_scsrsv_analysis(rocsparse_handle handle,
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rocsparse_operation trans,
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rocsparse_int m,
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rocsparse_int nnz,
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const rocsparse_mat_descr descr,
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const float* csr_val,
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const rocsparse_int* csr_row_ptr,
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const rocsparse_int* csr_col_ind,
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rocsparse_mat_info info,
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rocsparse_analysis_policy analysis,
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rocsparse_solve_policy solve,
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void* temp_buffer);
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_dcsrsv_analysis(rocsparse_handle handle,
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rocsparse_operation trans,
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rocsparse_int m,
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rocsparse_int nnz,
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const rocsparse_mat_descr descr,
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const double* csr_val,
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const rocsparse_int* csr_row_ptr,
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const rocsparse_int* csr_col_ind,
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rocsparse_mat_info info,
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rocsparse_analysis_policy analysis,
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rocsparse_solve_policy solve,
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void* temp_buffer);
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_ccsrsv_analysis(rocsparse_handle handle,
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rocsparse_operation trans,
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rocsparse_int m,
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rocsparse_int nnz,
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const rocsparse_mat_descr descr,
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const rocsparse_float_complex* csr_val,
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const rocsparse_int* csr_row_ptr,
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const rocsparse_int* csr_col_ind,
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rocsparse_mat_info info,
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rocsparse_analysis_policy analysis,
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rocsparse_solve_policy solve,
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void* temp_buffer);
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_zcsrsv_analysis(rocsparse_handle handle,
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rocsparse_operation trans,
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rocsparse_int m,
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rocsparse_int nnz,
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const rocsparse_mat_descr descr,
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const rocsparse_double_complex* csr_val,
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const rocsparse_int* csr_row_ptr,
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const rocsparse_int* csr_col_ind,
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rocsparse_mat_info info,
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rocsparse_analysis_policy analysis,
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rocsparse_solve_policy solve,
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void* temp_buffer);
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/**@}*/
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/*! \ingroup level2_module
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* \details
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* \p rocsparse_csrsv_clear deallocates all memory that was allocated by
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* \ref rocsparse_scsrsv_analysis "rocsparse_Xcsrsv_analysis()". This is especially useful
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* if memory is an issue and the analysis data is not required for further computation, for example,
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* when switching to another sparse matrix format.
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*
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* Calling \p rocsparse_csrsv_clear is optional. All allocated resources will be cleared when the
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* opaque \ref rocsparse_mat_info struct is destroyed using \ref rocsparse_destroy_mat_info().
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*
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* \note
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* This routine does not support execution in a hipGraph context.
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*
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* @param[in]
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* handle handle to the rocSPARSE library context queue.
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* @param[in]
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* descr descriptor of the sparse CSR matrix.
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* @param[inout]
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* info structure that holds the information collected during the analysis step.
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*
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* \retval rocsparse_status_success the operation completed successfully.
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* \retval rocsparse_status_invalid_handle the library context was not initialized.
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* \retval rocsparse_status_invalid_pointer \p info pointer is invalid.
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* \retval rocsparse_status_memory_error the buffer holding the meta data could not
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* be deallocated.
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* \retval rocsparse_status_internal_error an internal error occurred.
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*/
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ROCSPARSE_EXPORT
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rocsparse_status rocsparse_csrsv_clear(rocsparse_handle handle,
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const rocsparse_mat_descr descr,
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rocsparse_mat_info info);
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/*! \ingroup level2_module
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* \brief Sparse triangular solve using CSR storage format.
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*
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* \details
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* \p rocsparse_csrsv_solve solves a sparse triangular linear system of a sparse
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* \f$m \times m\f$ matrix, defined in CSR storage format, a dense solution vector
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* \f$y\f$ and the right-hand side \f$x\f$ that is multiplied by \f$\alpha\f$, such that
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* \f[
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* op(A) \cdot y = \alpha \cdot x,
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* \f]
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* with
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* \f[
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* op(A) = \left\{
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* \begin{array}{ll}
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* A, & \text{if trans == rocsparse_operation_none} \\
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* A^T, & \text{if trans == rocsparse_operation_transpose} \\
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* A^H, & \text{if trans == rocsparse_operation_conjugate_transpose}
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* \end{array}
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* \right.
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* \f]
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*
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* Performing the above operation requires three steps. First, call
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* \ref rocsparse_scsrsv_buffer_size "rocsparse_Xcsrsv_buffer_size()", which determines the size of the required
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* temporary storage buffer. Then allocate this buffer and call
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* \ref rocsparse_scsrsv_analysis "rocsparse_Xcsrsv_analysis()", which will perform analysis on the sparse matrix
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* \f$op(A)\f$. Finally, complete the computation by calling \p rocsparse_csrsv_solve. The buffer size,
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* buffer allocation, and analysis only need to be called once for a given sparse matrix \f$op(A)\f$, while the
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* computation stage can be repeatedly used with different \f$x\f$ and \f$y\f$ vectors. After all calls to
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* \p rocsparse_csrsv_solve are complete, the temporary buffer can be deallocated.
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*
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* Solving a triangular system involves division by the diagonal elements. This means that if the sparse matrix is
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* missing the diagonal entry (referred to as a structural zero) or the diagonal entry is zero (referred to as a numerical zero),
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* then a division by zero would occur. \p rocsparse_csrsv_solve tracks the location of the first zero pivot (either numerical
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* or structural zero). The zero pivot status can be checked by calling \ref rocsparse_csrsv_zero_pivot(). If
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* \ref rocsparse_csrsv_zero_pivot() returns \ref rocsparse_status_success, then no zero pivot was found and therefore
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* the matrix does not have a structural or numerical zero.
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*
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* The user can specify that the sparse matrix should be interpreted as having ones on the diagonal by setting the diagonal type
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* on the descriptor \p descr to \ref rocsparse_diag_type_unit using \ref rocsparse_set_mat_diag_type. If
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* \ref rocsparse_diag_type == \ref rocsparse_diag_type_unit, no zero pivot will be reported, even if \f$A_{j,j} = 0\f$ for
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* some \f$j\f$.
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*
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* The sparse CSR matrix passed to \p rocsparse_csrsv_solve does not actually have to be a triangular matrix. Instead the
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* triangular upper or lower part of the sparse matrix is solved based on \ref rocsparse_fill_mode set on the descriptor
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* \p descr. If the fill mode is set to \ref rocsparse_fill_mode_lower, then the lower triangular matrix is solved. If the
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* fill mode is set to \ref rocsparse_fill_mode_upper, then the upper triangular matrix is solved.
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*
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* \note
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* The sparse CSR matrix has to be sorted. This can be achieved by calling
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* rocsparse_csrsort().
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*
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* \note
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* This function is non-blocking and executed asynchronously with respect to the host.
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* It can return before the actual computation has finished.
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*
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* \note
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* Currently, only \p trans == \ref rocsparse_operation_none and
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* \p trans == \ref rocsparse_operation_transpose is supported.
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*
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* \note
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* This routine supports execution in a hipGraph context.
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*
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* @param[in]
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* handle handle to the rocSPARSE library context queue.
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* @param[in]
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* trans matrix operation type.
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* @param[in]
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* m number of rows of the sparse CSR matrix.
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* @param[in]
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* nnz number of non-zero entries of the sparse CSR matrix.
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* @param[in]
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* alpha scalar \f$\alpha\f$.
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* @param[in]
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* descr descriptor of the sparse CSR matrix.
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* @param[in]
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* csr_val array of \p nnz elements of the sparse CSR matrix.
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* @param[in]
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* csr_row_ptr array of \p m+1 elements that point to the start
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* of every row of the sparse CSR matrix.
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* @param[in]
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|
* csr_col_ind array of \p nnz elements containing the column indices of the sparse
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|
* CSR matrix.
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|
* @param[in]
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|
* info structure that holds the information collected during the analysis step.
|
|
* @param[in]
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|
* x array of \p m elements, holding the right-hand side.
|
|
* @param[out]
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|
* y array of \p m elements, holding the solution.
|
|
* @param[in]
|
|
* policy \ref rocsparse_solve_policy_auto.
|
|
* @param[in]
|
|
* temp_buffer temporary storage buffer allocated by the user.
|
|
*
|
|
* \retval rocsparse_status_success the operation completed successfully.
|
|
* \retval rocsparse_status_invalid_handle the library context was not initialized.
|
|
* \retval rocsparse_status_invalid_size \p m or \p nnz is invalid.
|
|
* \retval rocsparse_status_invalid_pointer \p descr, \p alpha, \p csr_val,
|
|
* \p csr_row_ptr, \p csr_col_ind, \p x, or \p y pointer is invalid.
|
|
* \retval rocsparse_status_arch_mismatch the device is not supported.
|
|
* \retval rocsparse_status_internal_error an internal error occurred.
|
|
* \retval rocsparse_status_not_implemented
|
|
* \p trans == \ref rocsparse_operation_conjugate_transpose or
|
|
* \ref rocsparse_matrix_type != \ref rocsparse_matrix_type_general.
|
|
*
|
|
* \par Example
|
|
* Consider the lower triangular \f$m \times m\f$ matrix \f$L\f$, stored in CSR
|
|
* storage format with unit diagonal. The following example solves \f$L \cdot y = x\f$.
|
|
* \snippet example_rocsparse_csrsv.cpp doc example
|
|
*/
|
|
/**@{*/
|
|
ROCSPARSE_EXPORT
|
|
rocsparse_status rocsparse_scsrsv_solve(rocsparse_handle handle,
|
|
rocsparse_operation trans,
|
|
rocsparse_int m,
|
|
rocsparse_int nnz,
|
|
const float* alpha,
|
|
const rocsparse_mat_descr descr,
|
|
const float* csr_val,
|
|
const rocsparse_int* csr_row_ptr,
|
|
const rocsparse_int* csr_col_ind,
|
|
rocsparse_mat_info info,
|
|
const float* x,
|
|
float* y,
|
|
rocsparse_solve_policy policy,
|
|
void* temp_buffer);
|
|
|
|
ROCSPARSE_EXPORT
|
|
rocsparse_status rocsparse_dcsrsv_solve(rocsparse_handle handle,
|
|
rocsparse_operation trans,
|
|
rocsparse_int m,
|
|
rocsparse_int nnz,
|
|
const double* alpha,
|
|
const rocsparse_mat_descr descr,
|
|
const double* csr_val,
|
|
const rocsparse_int* csr_row_ptr,
|
|
const rocsparse_int* csr_col_ind,
|
|
rocsparse_mat_info info,
|
|
const double* x,
|
|
double* y,
|
|
rocsparse_solve_policy policy,
|
|
void* temp_buffer);
|
|
|
|
ROCSPARSE_EXPORT
|
|
rocsparse_status rocsparse_ccsrsv_solve(rocsparse_handle handle,
|
|
rocsparse_operation trans,
|
|
rocsparse_int m,
|
|
rocsparse_int nnz,
|
|
const rocsparse_float_complex* alpha,
|
|
const rocsparse_mat_descr descr,
|
|
const rocsparse_float_complex* csr_val,
|
|
const rocsparse_int* csr_row_ptr,
|
|
const rocsparse_int* csr_col_ind,
|
|
rocsparse_mat_info info,
|
|
const rocsparse_float_complex* x,
|
|
rocsparse_float_complex* y,
|
|
rocsparse_solve_policy policy,
|
|
void* temp_buffer);
|
|
|
|
ROCSPARSE_EXPORT
|
|
rocsparse_status rocsparse_zcsrsv_solve(rocsparse_handle handle,
|
|
rocsparse_operation trans,
|
|
rocsparse_int m,
|
|
rocsparse_int nnz,
|
|
const rocsparse_double_complex* alpha,
|
|
const rocsparse_mat_descr descr,
|
|
const rocsparse_double_complex* csr_val,
|
|
const rocsparse_int* csr_row_ptr,
|
|
const rocsparse_int* csr_col_ind,
|
|
rocsparse_mat_info info,
|
|
const rocsparse_double_complex* x,
|
|
rocsparse_double_complex* y,
|
|
rocsparse_solve_policy policy,
|
|
void* temp_buffer);
|
|
/**@}*/
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
#endif /* ROCSPARSE_CSRSV_H */
|