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?imatsub

That is, .

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 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