testing_cgemm.c

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#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>

#include <plasma.h>
#include <cblas.h>
#include <lapacke.h>
#include <core_blas.h>
#include "testing_cmain.h"

#undef REAL
#define COMPLEX

static int check_solution(PLASMA_enum transA, PLASMA_enum transB, int M, int N, int K,
                          PLASMA_Complex32_t alpha, PLASMA_Complex32_t *A, int LDA,
                          PLASMA_Complex32_t *B, int LDB,
                          PLASMA_Complex32_t beta, PLASMA_Complex32_t *Cref, PLASMA_Complex32_t *Cplasma, int LDC);

int testing_cgemm(int argc, char **argv)
{
    /* Check for number of arguments*/
    if ( argc != 8) {
        USAGE("GEMM", "alpha beta M N K LDA LDB LDC",
              "   - alpha  : alpha coefficient\n"
              "   - beta   : beta coefficient\n"
              "   - M      : number of rows of matrices A and C\n"
              "   - N      : number of columns of matrices B and C\n"
              "   - K      : number of columns of matrix A / number of rows of matrix B\n"
              "   - LDA    : leading dimension of matrix A\n"
              "   - LDB    : leading dimension of matrix B\n"
              "   - LDC    : leading dimension of matrix C\n");
        return -1;
    }

    PLASMA_Complex32_t alpha = (PLASMA_Complex32_t) atol(argv[0]);
    PLASMA_Complex32_t beta = (PLASMA_Complex32_t) atol(argv[1]);
    int M     = atoi(argv[2]);
    int N     = atoi(argv[3]);
    int K     = atoi(argv[4]);
    int LDA   = atoi(argv[5]);
    int LDB   = atoi(argv[6]);
    int LDC   = atoi(argv[7]);

    float eps;
    int info_solution;
    int i, j, ta, tb;
    int LDAxK = LDA*max(M,K);
    int LDBxN = LDB*max(K,N);
    int LDCxN = LDC*N;

    PLASMA_Complex32_t *A      = (PLASMA_Complex32_t *)malloc(LDAxK*sizeof(PLASMA_Complex32_t));
    PLASMA_Complex32_t *B      = (PLASMA_Complex32_t *)malloc(LDBxN*sizeof(PLASMA_Complex32_t));
    PLASMA_Complex32_t *C      = (PLASMA_Complex32_t *)malloc(LDCxN*sizeof(PLASMA_Complex32_t));
    PLASMA_Complex32_t *Cinit  = (PLASMA_Complex32_t *)malloc(LDCxN*sizeof(PLASMA_Complex32_t));
    PLASMA_Complex32_t *Cfinal = (PLASMA_Complex32_t *)malloc(LDCxN*sizeof(PLASMA_Complex32_t));

    /* Check if unable to allocate memory */
    if ((!A)||(!B)||(!Cinit)||(!Cfinal)){
        printf("Out of Memory \n ");
        return -2;
    }

    eps = LAPACKE_slamch_work('e');

    printf("\n");
    printf("------ TESTS FOR PLASMA CGEMM ROUTINE -------  \n");
    printf("            Size of the Matrix %d by %d\n", M, N);
    printf("\n");
    printf(" The matrix A is randomly generated for each test.\n");
    printf("============\n");
    printf(" The relative machine precision (eps) is to be %e \n",eps);
    printf(" Computational tests pass if scaled residuals are less than 10.\n");

    /*----------------------------------------------------------
     *  TESTING CGEMM
     */

    /* Initialize A, B, C */
    LAPACKE_clarnv_work(IONE, ISEED, LDAxK, A);
    LAPACKE_clarnv_work(IONE, ISEED, LDBxN, B);
    LAPACKE_clarnv_work(IONE, ISEED, LDCxN, C);

#ifdef COMPLEX
    for (ta=0; ta<3; ta++) {
        for (tb=0; tb<3; tb++) {
#else
    for (ta=0; ta<2; ta++) {
        for (tb=0; tb<2; tb++) {
#endif
            for ( i = 0; i < M; i++)
                for (  j = 0; j < N; j++)
                    Cinit[LDC*j+i] = C[LDC*j+i];
            for ( i = 0; i < M; i++)
                for (  j = 0; j < N; j++)
                    Cfinal[LDC*j+i] = C[LDC*j+i];

            /* PLASMA CGEMM */
            PLASMA_cgemm(trans[ta], trans[tb], M, N, K, alpha, A, LDA, B, LDB, beta, Cfinal, LDC);

            /* Check the solution */
            info_solution = check_solution(trans[ta], trans[tb], M, N, K, 
                                           alpha, A, LDA, B, LDB, beta, Cinit, Cfinal, LDC);

            if (info_solution == 0) {
                printf("***************************************************\n");
                printf(" ---- TESTING CGEMM (%s, %s) ............... PASSED !\n", transstr[ta], transstr[tb]);
                printf("***************************************************\n");
            }
            else {
                printf("************************************************\n");
                printf(" - TESTING CGEMM (%s, %s) ... FAILED !\n", transstr[ta], transstr[tb]);
                printf("************************************************\n");
            }
        }
    }
#ifdef _UNUSED_
    }}
#endif
    free(A); free(B); free(C);
    free(Cinit); free(Cfinal);

    return 0;
}

/*--------------------------------------------------------------
 * Check the solution
 */

static int check_solution(PLASMA_enum transA, PLASMA_enum transB, int M, int N, int K,
                          PLASMA_Complex32_t alpha, PLASMA_Complex32_t *A, int LDA,
                          PLASMA_Complex32_t *B, int LDB,
                          PLASMA_Complex32_t beta, PLASMA_Complex32_t *Cref, PLASMA_Complex32_t *Cplasma, int LDC)
{
    int info_solution;
    float Anorm, Bnorm, Cinitnorm, Cplasmanorm, Clapacknorm, Rnorm, result;
    float eps;
    PLASMA_Complex32_t beta_const;

    float *work = (float *)malloc(max(K,max(M, N))* sizeof(float));
    int Am, An, Bm, Bn;

    beta_const  = -1.0;

    if (transA == PlasmaNoTrans) {
        Am = M; An = K;
    } else {
        Am = K; An = M;
    }
    if (transB == PlasmaNoTrans) {
        Bm = K; Bn = N;
    } else {
        Bm = N; Bn = K;
    }

    Anorm       = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), Am, An, A,       LDA, work);
    Bnorm       = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), Bm, Bn, B,       LDB, work);
    Cinitnorm   = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M,  N,  Cref,    LDC, work);
    Cplasmanorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M,  N,  Cplasma, LDC, work);

    cblas_cgemm(CblasColMajor, (CBLAS_TRANSPOSE)transA, (CBLAS_TRANSPOSE)transB, M, N, K, 
                CBLAS_SADDR(alpha), A, LDA, B, LDB, CBLAS_SADDR(beta), Cref, LDC);

    Clapacknorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, N, Cref, LDC, work);

    cblas_caxpy(LDC * N, CBLAS_SADDR(beta_const), Cplasma, 1, Cref, 1);

    Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, N, Cref, LDC, work);

    eps = LAPACKE_slamch_work('e');

    printf("Rnorm %e, Anorm %e, Bnorm %e, Cinitnorm %e, Cplasmanorm %e, Clapacknorm %e\n", 
           Rnorm, Anorm, Bnorm, Cinitnorm, Cplasmanorm, Clapacknorm);

    result = Rnorm / ((Anorm + Bnorm + Cinitnorm) * N * eps);
    printf("============\n");
    printf("Checking the norm of the difference against reference CGEMM \n");
    printf("-- ||Cplasma - Clapack||_oo/((||A||_oo+||B||_oo+||C||_oo).N.eps) = %e \n", 
           result);

    if (  isnan(Rnorm) || isinf(Rnorm) || isnan(result) || isinf(result) || (result > 10.0) ) {
         printf("-- The solution is suspicious ! \n");
         info_solution = 1;
    }
    else {
         printf("-- The solution is CORRECT ! \n");
         info_solution= 0 ;
    }

    free(work);

    return info_solution;
}