?imatsub

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

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

$\text{[math]}$

Interface Definition

C interface:

void cblas_simatsub(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_dimatsub(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_cimatsub(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_zimatsub(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 SIMATSUB(ORDER, TRANSA, M, N, ALPHA, A, LDA, BC, LDB)

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

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

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

Parameters

Parameter	Type	Description	Input/Output
order	Enumeration type CBLAS_ORDER	Whether the matrix is in row- or column-major order.	Input
TransA	Enumeration type CBLAS_TRANSPOSE	Whether matrix A is non-transposed, transposed, conjugated, or conjugate-transposed. If TransA = CblasNoTrans, then op(A) = A. If TransA = CblasTrans, then op(A) = A'. If TransA = CblasConjNoTrans, then op(A) = conjg(A). If TransA = CblasConjTrans, then op(A) = conjg(A').	Input
M	Integer	Number of rows in matrices op(A) and BC.	Input
N	Integer	Number of columns in matrices op(A) and BC.	Input
alpha	Single-precision floating-point type for simatsub Double-precision floating-point type for dimatsub Single-precision complex type for cimatsub Double-precision complex type for zimatsub	Multiplication coefficient.	Input
A	Single-precision floating-point type for simatsub Double-precision floating-point type for dimatsub Single-precision complex type for cimatsub Double-precision complex type for zimatsub	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 simatsub Double-precision floating-point type for dimatsub Single-precision complex type for cimatsub Double-precision complex type for zimatsub	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: 
     *         0.878666, 0.587949, 0.911689,   
     *         0.537057, 0.738171, 0.775693,
     *         0.933167, 0.700325, 0.563810,
     *         0.712020, 0.606780, 0.538903  
     *    BC: 
     *         0.780532, 0.649196, 0.703486,         
     *         0.854725, 0.511782, 0.570734,
     *         0.550857, 0.832913, 0.937889,
     *         0.838400, 0.885429, 0.970482
     */

    float a[12] = {0.878666, 0.587949, 0.911689,
                   0.537057, 0.738171, 0.775693,
                   0.933167, 0.700325, 0.563810,
                   0.712020, 0.606780, 0.538903
    };

    float bc[12] = {0.780532, 0.649196, 0.703486,
                   0.854725, 0.511782, 0.570734,
                   0.550857, 0.832913, 0.937889,
                   0.838400, 0.885429, 0.970482
    };

    float c[12] = {0};

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

    /** 
     * Output C: 
     *        -0.976800, -0.526701, -1.119892,      
     *        -0.219388, -0.964561, -0.980653,
     *        -1.315476, -0.567737, -0.189731, 
     *        -0.585641, -0.328131, -0.107325
     */

Fortran interface:

      PROGRAM IMATSUB
      INTEGER :: M=4, N=3
      INTEGER :: LDA=4, LDB=4
      REAL(4) :: ALPHA=2.0
      REAL(4) :: A(4, 3), BC(4, 3), C(4, 3)
      DATA A/0.878666, 0.587949, 0.911689,
             0.537057, 0.738171, 0.775693,
             0.933167, 0.700325, 0.563810,
             0.712020, 0.606780, 0.538903/
      DATA BC/0.780532, 0.649196, 0.703486,
             0.854725, 0.511782, 0.570734,
             0.550857, 0.832913, 0.937889,
             0.838400, 0.885429, 0.970482/
      EXTERNAL SIMATSUB
      CALL SIMATSUB('C', 'N', M, N, ALPHA, A, LDA, BC, LDB)
      END

     * Output BC: 
     *        0.694343, 0.882727, 0.822963,   
     *        0.859743, 0.543875, 0.927105,
     *        0.516767, 0.659971, 0.950618, 
     *        0.849312, 0.576374, 0.557569

Parent topic: KML_BLAS-like extensions