?imatadd

Perform scaling and sum of two matrices including their in-place transposition/copying.

That is, $\text{[math]}$ .

$\text{[math]}$

Interface Definition

C interface:

void cblas_simatadd(const enum CBLAS_ORDER ordering, const enum CBLAS_TRANSPOSE TransA, const BLASINT m, const BLASINT n, const float alpha, float *A, const BLASINT lda, float *BC, const BLASINT ldb);

void cblas_dimatadd(const enum CBLAS_ORDER ordering, const enum CBLAS_TRANSPOSE TransA, const BLASINT m, const BLASINT n, const double alpha, double *A, const BLASINT lda, double *BC, const BLASINT ldb);

void cblas_cimatadd(const enum CBLAS_ORDER ordering, const enum CBLAS_TRANSPOSE TransA, const BLASINT m, const BLASINT n, const float *alpha, float *A, const BLASINT lda, float *BC, const BLASINT ldb);

void cblas_zimatadd(const enum CBLAS_ORDER ordering, const enum CBLAS_TRANSPOSE TransA, const BLASINT m, const BLASINT n, const double *alpha, double *A, const BLASINT lda, double *BC, const BLASINT ldb);

Fortran interface:

CALL SIMATADD(ORDER, TRANSA, M, N, ALPHA, A, LDA, BC, LDB)

CALL DIMATADD(ORDER, TRANSA, M, N, ALPHA, A, LDA, BC, LDB)

CALL CIMATADD(ORDER, TRANSA, M, N, ALPHA, A, LDA, BC, LDB)

CALL ZIMATADD(ORDER, TRANSA, M, N, ALPHA, A, LDA, BC, LDB)

Parameters

Parameter	Type	Description	Input/Output
order	Enumeration type CBLAS_ORDER	Indicates whether the matrix is in row- or column-major order.	Input
TransA	Enumeration type CBLAS_TRANSPOSE	Indicates whether matrix A is a conventional matrix, a transpose matrix, a conjugate matrix, or a conjugate transpose matrix. If TransA = CblasNoTrans, op(A) = A. If TransA = CblasTrans, op(A) = A'. If TransA = CblasConjNoTrans, op(A) = conj(A). If TransA = CblasConjTrans, op(A) = conj(A').	Input
M	Integer	Number of rows of matrices op(A) and BC.	Input
N	Integer	Number of columns of matrices op(A) and BC.	Input
alpha	Single-precision floating-point type for simatadd Double-precision floating-point type for dimatadd Single-precision complex type for cimatadd Double-precision complex type for zimatadd	Multiplication coefficient.	Input
A	Single-precision floating-point type for simatadd Double-precision floating-point type for dimatadd Single-precision complex type for cimatadd Double-precision complex type for zimatadd	Matrix A.	Input
lda	Integer	If matrix A is column store and TransA = CblasNoTrans, lda is at least max(1, m); otherwise, lda is at least max(1, n). If matrix A is row store and TransA = CblasNoTrans, lda is at least max(1, n); otherwise, lda is at least max(1, m).	Input
BC	Single-precision floating-point type for simatadd Double-precision floating-point type for dimatadd Single-precision complex type for cimatadd Double-precision complex type for zimatadd	Matrix BC.	Input
ldb	Integer	If the matrix is column store and TransB = CblasNoTrans, ldb is at least max(1, m); otherwise, ldb is at least max(1, n). If the matrix is row store and TransB = CblasNoTrans, ldb is at least max(1, n); otherwise, ldb is at least max(1, m).	Input

Dependency

#include "kblas.h"

Examples

C interface:

    int m = 4;
    int n = 3;
    int lda = 4;
    int ldb = 4;
    float alpha = 2.0;

    /** 
     *    A: 
     *         0.558402, 0.691866, 0.533786,   
     *         0.670904, 0.655601, 0.542604,
     *         0.743670, 0.965085, 0.993501,
     *         0.623749, 0.587617, 0.966428  
     *    BC: 
     *         0.730575, 0.624083, 0.526782,   
     *         0.804889, 0.677061, 0.529442,
     *         0.785305, 0.802311, 0.508981,
     *         0.574068, 0.646785, 0.717143
     */

    float a[12] = {0.558402, 0.691866, 0.533786,   
                   0.670904, 0.655601, 0.542604,
                   0.743670, 0.965085, 0.993501,
                   0.623749, 0.587617, 0.966428
    };

    float bc[12] = {0.730575, 0.624083, 0.526782,
                   0.804889, 0.677061, 0.529442,
                   0.785305, 0.802311, 0.508981,
                   0.574068, 0.646785, 0.717143,
    };

    cblas_simatadd(CblasColMajor, CblasNoTrans, m, n, alpha, a, lda, bc, ldb);

    /** 
     * Output BC: 
     *        1.847379, 2.007814, 1.594354,
     *        2.146696, 1.988263, 1.614650,
     *        2.272644, 2.732482, 2.495982, 
     *        1.821566, 1.822019, 2.649999 
     */

Fortran interface:

      PROGRAM IMATADD
      INTEGER :: M=4, N=3
      INTEGER :: LDA=4, LDB=4
      REAL(4) :: ALPHA=2.0
      REAL(4) :: A(4, 3), BC(4, 3)
      DATA A/0.558402, 0.691866, 0.533786,
             0.670904, 0.655601, 0.542604,
             0.743670, 0.965085, 0.993501,
             0.623749, 0.587617, 0.966428/
      DATA BC/0.730575, 0.624083, 0.526782,
             0.804889, 0.677061, 0.529442,
             0.785305, 0.802311, 0.508981,
             0.574068, 0.646785, 0.717143/
      EXTERNAL SIMATADD
      CALL SIMATADD('C', 'N', M, N, ALPHA, A, LDA, BC, LDB)
      END

     * Output BC: 
     *        1.847379, 2.007814, 1.594354,
     *        2.146696, 1.988263, 1.614650,
     *        2.272644, 2.732482, 2.495982,
     *        1.821566, 1.822019, 2.649999

Parent topic: KML_BLAS-like Extensions