Name

HPL_dgemm C := alpha * op(A) * op(B) + beta * C.

Synopsis

#include "hpl.h"

void HPL_dgemm( const enum HPL_ORDER ORDER, const enum HPL_TRANS TRANSA, const enum HPL_TRANS TRANSB, const int M, const int N, const int K, const double ALPHA, const double * A, const int LDA, const double * B, const int LDB, const double BETA, double * C, const int LDC );

Description

HPL_dgemm performs one of the matrix-matrix operations C := alpha * op( A ) * op( B ) + beta * C where op( X ) is one of op( X ) = X or op( X ) = X^T. Alpha and beta are scalars, and A, B and C are matrices, with op(A) an m by k matrix, op(B) a k by n matrix and C an m by n matrix.

Arguments

ORDER   (local input)                 const enum HPL_ORDER
        On entry, ORDER  specifies the storage format of the operands
        as follows:                                                  
           ORDER = HplRowMajor,                                      
           ORDER = HplColumnMajor.                                   

TRANSA  (local input)                 const enum HPL_TRANS
        On entry, TRANSA  specifies the form of  op(A)  to be used in
        the matrix-matrix operation follows:                         
           TRANSA==HplNoTrans    : op( A ) = A,                     
           TRANSA==HplTrans      : op( A ) = A^T,                   
           TRANSA==HplConjTrans  : op( A ) = A^T.                   

TRANSB  (local input)                 const enum HPL_TRANS
        On entry, TRANSB  specifies the form of  op(B)  to be used in
        the matrix-matrix operation follows:                         
           TRANSB==HplNoTrans    : op( B ) = B,                     
           TRANSB==HplTrans      : op( B ) = B^T,                   
           TRANSB==HplConjTrans  : op( B ) = B^T.                   

M       (local input)                 const int
        On entry,  M  specifies  the  number  of rows  of the  matrix
        op(A)  and  of  the  matrix  C.  M  must  be  at least  zero.

N       (local input)                 const int
        On entry,  N  specifies  the number  of columns of the matrix
        op(B)  and  the number of columns of the matrix  C. N must be
        at least zero.

K       (local input)                 const int
        On entry,  K  specifies  the  number of columns of the matrix
        op(A) and the number of rows of the matrix op(B).  K  must be
        be at least  zero.

ALPHA   (local input)                 const double
        On entry, ALPHA specifies the scalar alpha.   When  ALPHA  is
        supplied  as  zero  then the elements of the matrices A and B
        need not be set on input.

A       (local input)                 const double *
        On entry,  A  is an array of dimension (LDA,ka),  where ka is
        k  when   TRANSA==HplNoTrans,  and  is  m  otherwise.  Before
        entry  with  TRANSA==HplNoTrans, the  leading  m by k part of
        the array  A must contain the matrix A, otherwise the leading
        k  by  m  part of the array  A  must  contain the  matrix  A.

LDA     (local input)                 const int
        On entry, LDA  specifies the first dimension of A as declared
        in the  calling (sub) program. When  TRANSA==HplNoTrans  then
        LDA must be at least max(1,m), otherwise LDA must be at least
        max(1,k).

B       (local input)                 const double *
        On entry, B is an array of dimension (LDB,kb),  where  kb  is
        n   when  TRANSB==HplNoTrans, and  is  k  otherwise.   Before
        entry with TRANSB==HplNoTrans,  the  leading  k by n  part of
        the array  B must contain the matrix B, otherwise the leading
        n  by  k  part of the array  B  must  contain  the matrix  B.

LDB     (local input)                 const int
        On entry, LDB  specifies the first dimension of B as declared
        in the  calling (sub) program. When  TRANSB==HplNoTrans  then
        LDB must be at least max(1,k), otherwise LDB must be at least
        max(1,n).

BETA    (local input)                 const double
        On entry,  BETA  specifies the scalar  beta.   When  BETA  is
        supplied  as  zero  then  the  elements of the matrix C  need
        not be set on input.

C       (local input/output)          double *
        On entry,  C  is an array of dimension (LDC,n). Before entry,
        the  leading m by n part  of  the  array  C  must contain the
        matrix C,  except when beta is zero, in which case C need not
        be set on entry. On exit, the array  C  is overwritten by the
        m by n  matrix ( alpha*op( A )*op( B ) + beta*C ).

LDC     (local input)                 const int
        On entry, LDC  specifies the first dimension of C as declared
        in  the   calling  (sub)  program.   LDC  must  be  at  least
        max(1,m).

Example

#include "hpl.h"

int main(int argc, char *argv[])
{
   double a[2*2], b[2*2], c[2*2];
   a[0] = 1.0; a[1] = 2.0; a[2] = 3.0; a[3] = 3.0;
   b[0] = 2.0; b[1] = 1.0; b[2] = 1.0; b[3] = 2.0;
   c[0] = 4.0; c[1] = 3.0; c[2] = 2.0; c[3] = 1.0;
   HPL_dgemm( HplColumnMajor, HplNoTrans, HplNoTrans,
              2, 2, 2, 2.0, a, 2, b, 2, -1.0, c, 2 );
   printf("  [%f,%f]\n", c[0], c[2]);
   printf("c=[%f,%f]\n", c[1], c[3]);
   exit(0); return(0);
}

See Also

HPL_dtrsm.