Developer Reference for Intel® oneAPI Math Kernel Library for C
?gemm_batch_strided
Computes groups of matrix-matrix product with general matrices.
Syntax
void cblas_sgemm_batch_strided(const CBLAS_LAYOUT layout, const CBLAS_TRANSPOSE transa,
const CBLAS_TRANSPOSE transb, const MKL_INT m, const MKL_INT n,
const MKL_INT k, const float alpha, const float *a,
const MKL_INT lda, const MKL_INT stridea, const float *b,
const MKL_INT ldb, const MKL_INT strideb, const float beta,
float *c, const MKL_INT ldc, const MKL_INT stridec,
const MKL_INT batch_size);
void cblas_dgemm_batch_strided(const CBLAS_LAYOUT layout, const CBLAS_TRANSPOSE transa,
const CBLAS_TRANSPOSE transb, const MKL_INT m, const MKL_INT n,
const MKL_INT k, const double alpha, const double *a,
const MKL_INT lda, const MKL_INT stridea, const double *b,
const MKL_INT ldb, const MKL_INT strideb, const double beta,
double *c, const MKL_INT ldc, const MKL_INT stridec,
const MKL_INT batch_size);
void cblas_cgemm_batch_strided(const CBLAS_LAYOUT layout, const CBLAS_TRANSPOSE transa,
const CBLAS_TRANSPOSE transb, const MKL_INT m, const MKL_INT n,
const MKL_INT k, const void *alpha, const void *a,
const MKL_INT lda, const MKL_INT stridea, const void *b,
const MKL_INT ldb, const MKL_INT strideb, const void *beta,
void *c, const MKL_INT ldc, const MKL_INT stridec,
const MKL_INT batch_size);
void cblas_zgemm_batch_strided(const CBLAS_LAYOUT layout, const CBLAS_TRANSPOSE transa,
const CBLAS_TRANSPOSE transb, const MKL_INT m, const MKL_INT n,
const MKL_INT k, const void *alpha, const void *a,
const MKL_INT lda, const MKL_INT stridea, const void *b,
const MKL_INT ldb, const MKL_INT strideb, const void *beta,
void *c, const MKL_INT ldc, const MKL_INT stridec,
const MKL_INT batch_size);Include Files
mkl.h
Description
The ?gemm_batch_stridedcblas_?gemm_batch_strided routines perform a series of matrix-matrix operations with general matrices. They are similar to the ?gemmcblas_?gemm routine counterparts, but the ?gemm_batch_stridedcblas_?gemm_batch_strided routines perform matrix-matrix operations with groups of matrices. The groups contain matrices with the same parameters.
All matrix a (respectively, b or c ) have the same parameters (size, leading dimension, transpose operation, alpha, beta scaling) and are stored at constant stridea (respectively, strideb or stridec ) from each other. The operation is defined as
For i = 0 … batch_size – 1
Ai, Bi and Ci are matrices at offset i * stridea, i * strideb and i * stridec in a, b and c
Ci = alpha * Ai * Bi + beta * Ci
end forInput Parameters
- layout
-
Specifies whether two-dimensional array storage is row-major (CblasRowMajor) or column-major (CblasColMajor).
- transa
-
Specifies op(A) the transposition operation applied to the matrices A .
if transa = CblasNoTrans , then op(A) = A;
if transa = CblasTrans , then op(A) = A T ;
if transa = CblasConjTrans , then op(A) = A H .
- transb
-
Specifies op(B) the transposition operation applied to the matrices B .
if transb = CblasNoTrans , then op(B) = B;
if transb = CblasTrans , then op(B) = B T ;
if transb = CblasConjTrans , then op(B) = B H .
- m
-
Number of rows of the op(A) and C matrices. Must be at least 0.
- n
-
Number of columns of the op(B) and C matrices. Must be at least 0.
- k
-
Number of columns of the op(A) matrix and number of rows of the op(B) matrix. Must be at least 0.
- alpha
-
REAL for sgemm_batch_strided DOUBLE PRECISION for dgemm_batch_strided COMPLEX for cgemm_batch_strided DOUBLE COMPLEX for zgemm_batch_strided Specifies the scalar alpha .
- a
-
REAL for sgemm_batch_strided DOUBLE PRECISION for dgemm_batch_strided COMPLEX for cgemm_batch_strided DOUBLE COMPLEX for zgemm_batch_strided Array of size at least stridea * batch_size holding the a matrices.
- lda
-
Specifies the leading dimension of the a matrices.
- stridea
-
Stride between two consecutive a matrices.
- b
-
REAL for sgemm_batch_strided DOUBLE PRECISION for dgemm_batch_strided COMPLEX for cgemm_batch_strided DOUBLE COMPLEX for zgemm_batch_strided Array of size at least strideb * batch_size holding the b matrices.
- ldb
-
Specifies the leading dimension of the b matrices.
- strideb
-
Stride between two consecutive b matrices.
- beta
-
REAL for sgemm_batch_strided DOUBLE PRECISION for dgemm_batch_strided COMPLEX for cgemm_batch_strided DOUBLE COMPLEX for zgemm_batch_strided Specifies the scalar beta .
- c
-
REAL for sgemm_batch_strided DOUBLE PRECISION for dgemm_batch_strided COMPLEX for cgemm_batch_strided DOUBLE COMPLEX for zgemm_batch_strided Array of size at least stridec * batch_size holding the c matrices. If layout=CblasColMajor, before entry, the leading m -by- n part of the array c + i * stridec must contain the matrix Ci . If layout=CblasRowMajor, before entry, the leading n -by- m part of the array c + i * stridec must contain the matrix Ci .
- ldc
-
INTEGER . Specifies the leading dimension of the c matrices.
Must be at least max(1, m ) if layout=CblasColMajor or max(1, n ) if layout=CblasRowMajor .
- stridec
-
INTEGER . Specifies the stride between two consecutive c matrices.
Must be at least ldc* n if layout=CblasColMajor or ldc* m if layout=CblasRowMajor .
- batch_size
-
INTEGER . Number of gemm computations to perform and a , b and c matrices. Must be at least 0.
Output Parameters
- c
-
Array holding the batch_size updated c matrices.