cblas_?dgmm

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 7/13/2023

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cblas_?dgmm_batch

Computes groups of matrix-vector product using general matrices.

Syntax

void cblas_sdgmm_batch (const CBLAS_LAYOUT layout, const CBLAS_SIDE *left_right_array, const MKL_INT *m_array, const MKL_INT *n_array, const float **a_array, const MKL_INT *lda_array, const float **x_array, const MKL_INT *incx_array, float **c_array, const MKL_INT *ldc_array, const MKL_INT group_count, const MKL_INT *group_size);

void cblas_ddgmm_batch (const CBLAS_LAYOUT layout, const CBLAS_SIDE *left_right_array, const MKL_INT *m_array, const MKL_INT *n_array, const double **a_array, const MKL_INT *lda_array, const double **x_array, const MKL_INT *incx_array, double **c_array, const MKL_INT *ldc_array, const MKL_INT group_count, const MKL_INT *group_size);

void cblas_cdgmm_batch (const CBLAS_LAYOUT layout, const CBLAS_SIDE *left_right_array, const MKL_INT *m_array, const MKL_INT *n_array, const void **a_array, const MKL_INT *lda_array, const void **x_array, const MKL_INT *incx_array, void **c_array, const MKL_INT *ldc_array, const MKL_INT group_count, const MKL_INT *group_size);

void cblas_zdgmm_batch (const CBLAS_LAYOUT layout, const CBLAS_SIDE *left_right_array, const MKL_INT *m_array, const MKL_INT *n_array, const void **a_array, const MKL_INT *lda_array, const void **x_array, const MKL_INT *incx_array, void **c_array, const MKL_INT *ldc_array, const MKL_INT group_count, const MKL_INT *group_size);

Include Files

mkl.h

Description

The cblas_?dgmm_batch routines perform a series of diagonal matrix-matrix product. The diagonal matrices are stored as dense vectors and the operations are performed with group of matrices and vectors. .

Each group contains matrices and vectors with the same parameters (size, increments). The operation is defined as:

idx = 0
For i = 0 … group_count – 1
    left_right, m, n, lda, incx, ldc and group_size at position i in left_right_array, m_array, n_array, lda_array, incx_array, ldc_array and group_size_array
    for j = 0 … group_size – 1
        a and c are matrices of size mxn at position idx in a_array and c_array
        x is a vector of size m or n depending on left_right, at position idx in x_array
        if (left_right == oneapi::mkl::side::left) c := diag(x) * a
        else c := a * diag(x)
        idx := idx + 1
    end for
end for

The number of entries in a_array, x_array, and c_array is total_batch_count = the sum of all of the group_size entries.

Input Parameters

layout

Specifies whether two-dimensional array storage is row-major (CblasRowMajor) or column-major (CblasColMajor).

left_right_array

Array of size group_count. For the group i, left_right_i = left_right_array[i] specifies the position of the diagonal matrix in the matrix product.

if left_right_i = CblasLeft, then C = diag(X) * A.

if left_right_i = CblasRight, then C = A * diag(X).

m_array

Array of size group_count. For the group i, m_i = m_array[i] is the number of rows of the matrix A and C.

n_array

Array of size group_count. For the group i, n_i = n_array[i] is the number of columns in the matrix A and C.

a_array

Array of size total_batch_count of pointers used to store A matrices. The array allocated for the A matrices of the group i must be of size at least lda_i * n_iif column major layout is used or at least lda_i * m_i is row major layout is used.

lda_array

Array of size group_count. For the group i, lda_i = lda_array[i] is the leading dimension of the matrix A. It must be positive and at least m_iif column major layout is used or at least n_i if row major layout is used..

x_array

Array of size total_batch_count of pointers used to store x vectors. The array allocated for the x vectors of the group i must be of size at least (1 + len_i – 1)*abs(incx_i)) where len_i is n_i if the diagonal matrix is on the right of the product or m_i otherwise.

incx_array

Array of size group_count. For the group i, incx_i = incx_array[i] is the stride of vector x.

c_array

Array of size total_batch_count of pointers used to store C matrices. The array allocated for the C matrices of the group i must be of size at least ldc_i * n_i, if column major layout is used or at least ldc_i * m_i if row major layout is used.

ldc_array

Array of size group_count. For the group i, ldc_i = ldc_array[i] is the leading dimension of the matrix C. It must be positive and at least m_iif column major layout is used or at least n_i if row major layout is used..

group_count

Number of groups. Must be at least 0.

group_size

Array of size group_count. The element group_count[i] is the number of operations in the group i. Each element in group_size must be at least 0.

Output Parameters

c_array: Array of pointers holding the total_batch_count updated matrix C.

Parent topic: BLAS-like Extensions

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