?gemm_batch_strided

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 12/16/2022

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?gemm_batch_strided

Computes groups of matrix-matrix product with general matrices.

Syntax

call sgemm_batch_strided(transa, transb, m, n, k, alpha, a, lda, stridea, b, ldb, strideb, beta, c, ldc, stridec, batch_size)

call dgemm_batch_strided(transa, transb, m, n, k, alpha, a, lda, stridea, b, ldb, strideb, beta, c, ldc, stridec, batch_size)

call cgemm_batch_strided(transa, transb, m, n, k, alpha, a, lda, stridea, b, ldb, strideb, beta, c, ldc, stridec, batch_size)

call zgemm_batch_strided(transa, transb, m, n, k, alpha, a, lda, stridea, b, ldb, strideb, beta, c, ldc, stridec, batch_size)

Include Files

mkl.fi

Description

The ?gemm_batch_strided routines perform a series of matrix-matrix operations with general matrices. They are similar to the ?gemm routine counterparts, but the ?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 for

Input Parameters

transa

CHARACTER*1.

Specifies op(A) the transposition operation applied to the matrices A.

if transa = 'N' or 'n' , then op(A) = A;

if transa = 'T' or 't' , then op(A) = A^T;

if transa = 'C' or 'c' , then op(A) = A^H.

transb

CHARACTER*1.

Specifies op(B) the transposition operation applied to the matrices B.

if transb = 'N' or 'n' , then op(B) = B;

if transb = 'T' or 't' , then op(B) = B^T;

if transb = 'C' or 'c' , then op(B) = B^H.

m

INTEGER. Number of rows of the op(A) and C matrices. Must be at least 0.

n

INTEGER. Number of columns of the op(B) and C matrices. Must be at least 0.

k

INTEGER. 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.

transa='N' or 'n'

transa='T' or 't' or 'C' or 'c'

lda

INTEGER. Specifies the leading dimension of the a matrices.

transa='N' or 'n'

transa='T' or 't' or 'C' or 'c'

stridea

INTEGER. Stride between two consecutive a matrices.

transa='N' or 'n'

transa='T' or 't' or 'C' or 'c'

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.

transb='N' or 'n'

transb='T' or 't' or 'C' or 'c'

ldb

INTEGER. Specifies the leading dimension of the b matrices.

transab='N' or 'n'

transb='T' or 't' or 'C' or 'c'

strideb

INTEGER. Stride between two consecutive b matrices.

transa='N' or 'n'

transa='T' or 't' or 'C' or 'c'

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.

ldc

INTEGER.

Specifies the leading dimension of the c matrices.

Must be at least max(1,m) .

stridec

INTEGER.

Specifies the stride between two consecutive c matrices.

Must be at least ldc*n .

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.

Parent topic: BLAS-like Extensions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

?gemm_batch_strided