example_cgesv.c File Reference

Example for solving a system of linear equations using LU factorization. More...

#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>

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Functions
int	check_solution (int, int, PLASMA_Complex32_t *, int, PLASMA_Complex32_t *, PLASMA_Complex32_t *, int)
int	main ()

Variables
int	IONE = 1
int	ISEED [4] = {0,0,0,1}

---

Detailed Description

Example for solving a system of linear equations using LU factorization.

PLASMA testing routines PLASMA is a software package provided by Univ. of Tennessee, Univ. of California Berkeley and Univ. of Colorado Denver

Version:

2.4.5

Author:

Bilel Hadri

Date:

2010-11-15 c Tue Nov 22 14:35:53 2011

Definition in file example_cgesv.c.

---

Function Documentation

int check_solution	(	int	N,
		int	NRHS,
		PLASMA_Complex32_t *	A1,
		int	LDA,
		PLASMA_Complex32_t *	B1,
		PLASMA_Complex32_t *	B2,
		int	LDB
	)

Definition at line 98 of file example_cgesv.c.

References cblas_cgemm(), CBLAS_SADDR, CblasColMajor, CblasNoTrans, lapack_const, and PlasmaInfNorm.

{
    int info_solution;
    float Rnorm, Anorm, Xnorm, Bnorm;
    PLASMA_Complex32_t alpha, beta;
    float *work = (float *)malloc(N*sizeof(float));
    float eps;

    eps = LAPACKE_slamch_work('e');

    alpha = 1.0;
    beta  = -1.0;

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

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

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

    if ( isnan(Rnorm/((Anorm*Xnorm+Bnorm)*N*eps)) || (Rnorm/((Anorm*Xnorm+Bnorm)*N*eps) > 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;
}

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int main

(

)

Definition at line 32 of file example_cgesv.c.

References check_solution(), IONE, IPIV, ISEED, L, PLASMA_Alloc_Workspace_cgesv_incpiv(), PLASMA_cgesv_incpiv(), PLASMA_Finalize(), and PLASMA_Init().

{

    int cores = 2;
    int N     = 10;
    int LDA   = 10;
    int NRHS  = 5;
    int LDB   = 10;
    int info;
    int info_solution;
    int i,j;
    int LDAxN = LDA*N;
    int LDBxNRHS = LDB*NRHS;

    PLASMA_Complex32_t *A1 = (PLASMA_Complex32_t *)malloc(LDA*N*(sizeof*A1));
    PLASMA_Complex32_t *A2 = (PLASMA_Complex32_t *)malloc(LDA*N*(sizeof*A2));
    PLASMA_Complex32_t *B1 = (PLASMA_Complex32_t *)malloc(LDB*NRHS*(sizeof*B1));
    PLASMA_Complex32_t *B2 = (PLASMA_Complex32_t *)malloc(LDB*NRHS*(sizeof*B2));
    PLASMA_Complex32_t *L;
    int *IPIV;

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

    /*Plasma Initialize*/
    PLASMA_Init(cores);
    printf("-- PLASMA is initialized to run on %d cores. \n",cores);

    /* Initialize A1 and A2 Matrix */
    LAPACKE_clarnv_work(IONE, ISEED, LDAxN, A1);
    for ( i = 0; i < N; i++)
        for (  j = 0; j < N; j++)
            A2[LDA*j+i] = A1[LDA*j+i];

    /* Initialize B1 and B2 */
    LAPACKE_clarnv_work(IONE, ISEED, LDBxNRHS, B1);
    for ( i = 0; i < N; i++)
        for ( j = 0; j < NRHS; j++)
            B2[LDB*j+i] = B1[LDB*j+i];

    /* PLASMA CGESV */
    info = PLASMA_Alloc_Workspace_cgesv_incpiv(N, &L, &IPIV);
    info = PLASMA_cgesv_incpiv(N, NRHS, A2, LDA, L, IPIV, B2, LDB);

    /* Check the factorization and the solution */
    info_solution = check_solution(N, NRHS, A1, LDA, B1, B2, LDB);

    if ((info_solution != 0)|(info != 0))
       printf("-- Error in CGESV example ! \n");
    else
       printf("-- Run of CGESV example successful ! \n");

    free(A1); free(A2); free(B1); free(B2); free(IPIV); free(L);

    PLASMA_Finalize();

    return EXIT_SUCCESS;
}

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---

Variable Documentation

int IONE = 1

Definition at line 29 of file example_cgesv.c.

int ISEED[4] = {0,0,0,1}

Definition at line 30 of file example_cgesv.c.