testing_dsposv.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_zmain.h"

static int check_solution(int, int, double*, int, double*, double*, int, double);

int testing_dsposv(int argc, char **argv)
{
    /* Check for number of arguments*/
    if (argc != 4){
        USAGE("CPOSV", "N LDA NRHS LDB",
              "   - N    : the size of the matrix\n"
              "   - LDA  : leading dimension of the matrix A\n"
              "   - NRHS : number of RHS\n"
              "   - LDB  : leading dimension of the RHS B\n");
        return -1;
    }

    int N    = atoi(argv[0]);
    int LDA  = atoi(argv[1]);
    int NRHS = atoi(argv[2]);
    int LDB  = atoi(argv[3]);
    int ITER;
    double eps;
    int uplo;
    int info;
    int info_solution = 0; /*, info_factorization;*/

    double *A1   = (double *)malloc(LDA*N   *sizeof(double));
    double *A2   = (double *)malloc(LDA*N   *sizeof(double));
    double *B1   = (double *)malloc(LDB*NRHS*sizeof(double));
    double *B2   = (double *)malloc(LDB*NRHS*sizeof(double));

    /* Check if unable to allocate memory */
    if ( (!A1) || (!A2) || (!B1) || (!B2) ){
        printf("Out of Memory \n ");
        exit(0);
    }

    eps = LAPACKE_dlamch_work('e');

    /*-------------------------------------------------------------
    *  TESTING DSPOSV
    */

    /* Initialize A1 and A2 for Symmetric Positif Matrix (Hessenberg in the complex case) */
    PLASMA_dplgsy( (double)N, N, A1, LDA, 51 );
    PLASMA_dlacpy( PlasmaUpperLower, N, N, A1, LDA, A2, LDA );

    /* Initialize B1 and B2 */
    PLASMA_dplrnt( N, NRHS, B1, LDB, 371 );
    PLASMA_dlacpy( PlasmaUpperLower, N, NRHS, B1, LDB, B2, LDB );

    printf("\n");
    printf("------ TESTS FOR PLASMA DSPOSV ROUTINE ------  \n");
    printf("            Size of the Matrix %d by %d\n", N, 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 60.\n");

    /* PLASMA DSPOSV */
    uplo = PlasmaLower;
    info = PLASMA_dsposv(uplo, N, NRHS, A2, LDA, B1, LDB, B2, LDB, &ITER);

    if (info != PLASMA_SUCCESS ) {
        printf("PLASMA_dsposv is not completed: info = %d\n", info);
        info_solution = 1;
    } else {
        printf(" Solution obtained with %d iterations\n", ITER);

        /* Check the factorization and the solution */
        info_solution = check_solution(N, NRHS, A1, LDA, B1, B2, LDB, eps);
    }
    
    if (info_solution == 0){
        printf("***************************************************\n");
        printf(" ---- TESTING DSPOSV ..................... PASSED !\n");
        printf("***************************************************\n");
    }
    else{
        printf("***************************************************\n");
        printf(" - TESTING DSPOSV .. FAILED !\n");
        printf("***************************************************\n");
    }

    free(A1); free(A2); free(B1); free(B2);
    
    return 0;
}

/*------------------------------------------------------------------------
 *  Check the accuracy of the solution of the linear system
 */

static int check_solution(int N, int NRHS, double *A1, int LDA, double *B1, double *B2, int LDB, double eps )
{
    int info_solution;
    double Rnorm, Anorm, Xnorm, Bnorm, result;
    double alpha, beta;
    double *work = (double *)malloc(N*sizeof(double));

    alpha = 1.0;
    beta  = -1.0;

    Xnorm = LAPACKE_dlange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, NRHS, B2, LDB, work);
    Anorm = LAPACKE_dlange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, N, A1, LDA, work);
    Bnorm = LAPACKE_dlange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, NRHS, B1, LDB, work);

    cblas_dgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, N, NRHS, N, (alpha), A1, LDA, B2, LDB, (beta), B1, LDB);
    Rnorm = LAPACKE_dlange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, NRHS, B1, LDB, work);

    if (getenv("PLASMA_TESTING_VERBOSE"))
      printf( "||A||_oo=%f\n||X||_oo=%f\n||B||_oo=%f\n||A X - B||_oo=%e\n", Anorm, Xnorm, Bnorm, Rnorm );

    result = Rnorm / ( (Anorm*Xnorm+Bnorm)*N*eps ) ;
    printf("============\n");
    printf("Checking the Residual of the solution \n");
    printf("-- ||Ax-B||_oo/((||A||_oo||x||_oo+||B||_oo).N.eps) = %e \n", result);

    if (  isnan(Xnorm) || isinf(Xnorm) || isnan(result) || isinf(result) || (result > 60.0) ) {
        printf("-- The solution is suspicious ! \n");
        info_solution = 1;
     }
    else{
        printf("-- The solution is CORRECT ! \n");
        info_solution = 0;
    }

    free(work);

    return info_solution;
}