Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

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mkl_sparse_?_sp2md

Computes the product of two sparse matrices (support operations on both matrices) and stores the result as a dense matrix.

Syntax

sparse_status_t mkl_sparse_s_sp2md ( const sparse_operation_t transA, const struct matrix_descr descrA, const sparse_matrix_t A, const sparse_operation_t transB, const struct matrix_descr descrB, const sparse_matrix_t B, const float alpha, const float beta, float *C, const sparse_layout_t layout, const MKL_INT ldc );
sparse_status_t mkl_sparse_d_sp2md ( const sparse_operation_t transA, const struct matrix_descr descrA, const sparse_matrix_t A, const sparse_operation_t transB, const struct matrix_descr descrB, const sparse_matrix_t B, const double alpha, const double beta, double *C, const sparse_layout_t layout, const MKL_INT ldc );
sparse_status_t mkl_sparse_c_sp2md ( const sparse_operation_t transA, const struct matrix_descr descrA, const sparse_matrix_t A, const sparse_operation_t transB, const struct matrix_descr descrB, const sparse_matrix_t B, const MKL_Complex8 alpha, const MKL_Complex8 beta, MKL_Complex8 *C, const sparse_layout_t layout, const MKL_INT ldc );
sparse_status_t mkl_sparse_z_sp2md ( const sparse_operation_t transA, const struct matrix_descr descrA, const sparse_matrix_t A, const sparse_operation_t transB, const struct matrix_descr descrB, const sparse_matrix_t B, const MKL_Complex16 alpha, const MKL_Complex16 beta, MKL_Complex16 *C, const sparse_layout_t layout, const MKL_INT ldc );
Include Files
  • mkl_spblas.h
Description
The
mkl_sparse_?_sp2md
 routine performs a matrix-matrix operation:
C = alpha * opA(A) *opB(B) + beta*C
where
A
 and
B
 are sparse matrices,
opA
 is a matrix modifier for matrix
A
,
opB
 is a matrix modifier for matrix
B
, and
C
 is a dense matrix,
alpha
 and
beta
 are scalars.
This routine is not supported for sparse matrices in the COO format. For sparse matrices in BSR format, these combinations of (indexing, block_layout) are supported:
  • (SPARSE_INDEX_BASE_ZERO, SPARSE_LAYOUT_ROW_MAJOR)
  • (SPARSE_INDEX_BASE_ONE, SPARSE_LAYOUT_COLUMN_MAJOR)
Input Parameters
transA
Specifies operation op() on the input matrix.
SPARSE_OPERATION_NON_TRANSPOSE
Non-transpose, op(
A
)=
A
SPARSE_OPERATION_TRANSPOSE
Transpose, op(
A
)=
A
T
SPARSE_OPERATION_CONJUGATE_TRANSPOSE
Conjugate transpose, op(
A
)=
A
H
descrA
Structure that specifies the sparse matrix properties.
Currently, only SPARSE_MATRIX_TYPE_GENERAL is supported.
sparse_matrix_type_t
type
 specifies the type of sparse matrix.
SPARSE_MATRIX_TYPE_GENERAL
The matrix is processed as is.
SPARSE_MATRIX_TYPE_SYMMETRIC
The matrix is symmetric (only the requested triangle is processed).
SPARSE_MATRIX_TYPE_HERMITIAN
The matrix is Hermitian (only the requested triangle is processed).
SPARSE_MATRIX_TYPE_TRIANGULAR
The matrix is triangular (only the requested triangle is processed).
SPARSE_MATRIX_TYPE_DIAGONAL
The matrix is diagonal (only diagonal elements are processed).
SPARSE_MATRIX_TYPE_BLOCK_TRIANGULAR
The matrix is block-triangular (only the requested triangle is processed). This applies to BSR format only.
SPARSE_MATRIX_TYPE_BLOCK_DIAGONAL
The matrix is block-diagonal (only the requested triangle is processed). This applies to BSR format only.
sparse_fill_mode_t
mode
 specifies the triangular matrix portion for symmetric, Hermitian, triangular, and block-triangular matrices.
SPARSE_FILL_MODE_LOWER
The lower triangular matrix is processed.
SPARSE_FILL_MODE_UPPER
The upper triangular matrix is processed.
sparse_diag_type_t
diag
 specifies the type of diagonal for non-general matrices.
SPARSE_DIAG_NON_UNIT
Diagonal elements must not be equal to 1.
SPARSE_DIAG_UNIT
Diagonal elements are equal to 1.
A
Handle which contains the sparse matrix
A
.
transB
Specifies operation
opB()
 on the input matrix.
SPARSE_OPERATION_NON_TRANSPOSE
Non-transpose,
opB(
B
)=
B
.
SPARSE_OPERATION_TRANSPOSE
Transpose,
opB(
B
)=
B
T
 .
SPARSE_OPERATION_CONJUGATE_TRANSPOSE
Conjugate transpose,
opB(
B
)=
B
H
 .
descrB
Structure that specifies the sparse matrix properties.
Currently, only
SPARSE_MATRIX_TYPE_GENERAL
 is supported.
sparse_matrix_type_t
type
 specifies the type of sparse matrix.
SPARSE_MATRIX_TYPE_GENERAL
The matrix is processed as is.
SPARSE_MATRIX_TYPE_SYMMETRIC
The matrix is symmetric (only the requested triangle is processed).
SPARSE_MATRIX_TYPE_HERMITIAN
The matrix is Hermitian (only the requested triangle is processed).
SPARSE_MATRIX_TYPE_TRIANGULAR
The matrix is triangular (only the requested triangle is processed).
SPARSE_MATRIX_TYPE_DIAGONAL
The matrix is diagonal (only diagonal elements are processed).
SPARSE_MATRIX_TYPE_BLOCK_TRIANGULAR
The matrix is block-triangular (only the requested triangle is processed). This applies to BSR format only.
SPARSE_MATRIX_TYPE_BLOCK_DIAGONAL
The matrix is block-diagonal (only the requested triangle is processed). This applies to BSR format only.
sparse_fill_mode_t
mode
 specifies the triangular matrix portion for symmetric, Hermitian, triangular, and block-triangular matrices.
SPARSE_FILL_MODE_LOWER
The lower triangular matrix is processed.
SPARSE_FILL_MODE_UPPER
The upper triangular matrix is processed.
sparse_diag_type_t
diag
 specifies the type of diagonal for non-general matrices.
SPARSE_DIAG_NON_UNIT
Diagonal elements must not be equal to 1.
SPARSE_DIAG_UNIT
Diagonal elements are equal to 1.
B
Handle which contains the sparse matrix
B
.
alpha
Specifies the scalar alpha.
beta
Specifies the scalar beta.
layout
Describes the storage scheme for the dense matrix:
SPARSE_LAYOUT_COLUMN_MAJOR
Storage of elements uses column major layout.
SPARSE_LAYOUT_ROW_MAJOR
Storage of elements uses row major layout.
ldc
Leading dimension of matrix
C
.
Output Parameters
C
The resulting dense matrix.
Return Values
The function returns a value indicating whether the operation was successful, or the reason why it failed.
SPARSE_STATUS_SUCCESS
The operation was successful.
SPARSE_STATUS_NOT_INITIALIZED
The routine encountered an empty handle or matrix array.
SPARSE_STATUS_ALLOC_FAILED
The internal memory allocation failed.
SPARSE_STATUS_INVALID_VALUE
The input parameters contain an invalid value.
SPARSE_STATUS_EXECUTION_FAILED
The execution failed.
SPARSE_STATUS_INTERNAL_ERROR
An error occurred in the implementation of the algorithm.
SPARSE_STATUS_NOT_SUPPORTED
The requested operation is not supported.

Product and Performance Information

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Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.