dgbtrf_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* dgbtrf_1 is the test program for the C interface to LAPACK
* routine dgbtrf
* The program doesn't require an input, the input data is hardcoded in the
* test program.
* The program tests the C interface in the four combinations:
*   1) column-major layout, middle-level interface
*   2) column-major layout, high-level interface
*   3) row-major layout, middle-level interface
*   4) row-major layout, high-level interface
* The output of the C interface function is compared to those obtained from
* the corresponiding LAPACK routine with the same input data, and the
* comparison diagnostics is then printed on the standard output having PASSED
* keyword if the test is passed, and FAILED keyword if the test isn't passed.
*****************************************************************************/
#include <stdio.h>
#include "lapacke.h"
#include "lapacke_utils.h"
#include "test_utils.h"

static void init_scalars_dgbtrf( lapack_int *m, lapack_int *n, lapack_int *kl,
                                 lapack_int *ku, lapack_int *ldab );
static void init_ab( lapack_int size, double *ab );
static void init_ipiv( lapack_int size, lapack_int *ipiv );
static int compare_dgbtrf( double *ab, double *ab_i, lapack_int *ipiv,
                           lapack_int *ipiv_i, lapack_int info,
                           lapack_int info_i, lapack_int ldab, lapack_int m,
                           lapack_int n );

int main(void)
{
    /* Local scalars */
    lapack_int m, m_i;
    lapack_int n, n_i;
    lapack_int kl, kl_i;
    lapack_int ku, ku_i;
    lapack_int ldab, ldab_i;
    lapack_int ldab_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    double *ab = NULL, *ab_i = NULL;
    lapack_int *ipiv = NULL, *ipiv_i = NULL;
    double *ab_save = NULL;
    lapack_int *ipiv_save = NULL;
    double *ab_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_dgbtrf( &m, &n, &kl, &ku, &ldab );
    ldab_r = n+2;
    m_i = m;
    n_i = n;
    kl_i = kl;
    ku_i = ku;
    ldab_i = ldab;

    /* Allocate memory for the LAPACK routine arrays */
    ab = (double *)LAPACKE_malloc( ldab*n * sizeof(double) );
    ipiv = (lapack_int *)LAPACKE_malloc( MIN(m,n) * sizeof(lapack_int) );

    /* Allocate memory for the C interface function arrays */
    ab_i = (double *)LAPACKE_malloc( ldab*n * sizeof(double) );
    ipiv_i = (lapack_int *)LAPACKE_malloc( MIN(m,n) * sizeof(lapack_int) );

    /* Allocate memory for the backup arrays */
    ab_save = (double *)LAPACKE_malloc( ldab*n * sizeof(double) );
    ipiv_save = (lapack_int *)LAPACKE_malloc( MIN(m,n) * sizeof(lapack_int) );

    /* Allocate memory for the row-major arrays */
    ab_r = (double *)LAPACKE_malloc( ((2*kl+ku+1)*(n+2)) * sizeof(double) );

    /* Initialize input arrays */
    init_ab( ldab*n, ab );
    init_ipiv( (MIN(m,n)), ipiv );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldab*n; i++ ) {
        ab_save[i] = ab[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_save[i] = ipiv[i];
    }

    /* Call the LAPACK routine */
    dgbtrf_( &m, &n, &kl, &ku, ab, &ldab, ipiv, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldab*n; i++ ) {
        ab_i[i] = ab_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_i[i] = ipiv_save[i];
    }
    info_i = LAPACKE_dgbtrf_work( LAPACK_COL_MAJOR, m_i, n_i, kl_i, ku_i, ab_i,
                                  ldab_i, ipiv_i );

    failed = compare_dgbtrf( ab, ab_i, ipiv, ipiv_i, info, info_i, ldab, m, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to dgbtrf\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to dgbtrf\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldab*n; i++ ) {
        ab_i[i] = ab_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_i[i] = ipiv_save[i];
    }
    info_i = LAPACKE_dgbtrf( LAPACK_COL_MAJOR, m_i, n_i, kl_i, ku_i, ab_i,
                             ldab_i, ipiv_i );

    failed = compare_dgbtrf( ab, ab_i, ipiv, ipiv_i, info, info_i, ldab, m, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to dgbtrf\n" );
    } else {
        printf( "FAILED: column-major high-level interface to dgbtrf\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldab*n; i++ ) {
        ab_i[i] = ab_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_i[i] = ipiv_save[i];
    }

    LAPACKE_dge_trans( LAPACK_COL_MAJOR, 2*kl+ku+1, n, ab_i, ldab, ab_r, n+2 );
    info_i = LAPACKE_dgbtrf_work( LAPACK_ROW_MAJOR, m_i, n_i, kl_i, ku_i, ab_r,
                                  ldab_r, ipiv_i );

    LAPACKE_dge_trans( LAPACK_ROW_MAJOR, 2*kl+ku+1, n, ab_r, n+2, ab_i, ldab );

    failed = compare_dgbtrf( ab, ab_i, ipiv, ipiv_i, info, info_i, ldab, m, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to dgbtrf\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to dgbtrf\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldab*n; i++ ) {
        ab_i[i] = ab_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_i[i] = ipiv_save[i];
    }

    /* Init row_major arrays */
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, 2*kl+ku+1, n, ab_i, ldab, ab_r, n+2 );
    info_i = LAPACKE_dgbtrf( LAPACK_ROW_MAJOR, m_i, n_i, kl_i, ku_i, ab_r,
                             ldab_r, ipiv_i );

    LAPACKE_dge_trans( LAPACK_ROW_MAJOR, 2*kl+ku+1, n, ab_r, n+2, ab_i, ldab );

    failed = compare_dgbtrf( ab, ab_i, ipiv, ipiv_i, info, info_i, ldab, m, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to dgbtrf\n" );
    } else {
        printf( "FAILED: row-major high-level interface to dgbtrf\n" );
    }

    /* Release memory */
    if( ab != NULL ) {
        LAPACKE_free( ab );
    }
    if( ab_i != NULL ) {
        LAPACKE_free( ab_i );
    }
    if( ab_r != NULL ) {
        LAPACKE_free( ab_r );
    }
    if( ab_save != NULL ) {
        LAPACKE_free( ab_save );
    }
    if( ipiv != NULL ) {
        LAPACKE_free( ipiv );
    }
    if( ipiv_i != NULL ) {
        LAPACKE_free( ipiv_i );
    }
    if( ipiv_save != NULL ) {
        LAPACKE_free( ipiv_save );
    }

    return 0;
}

/* Auxiliary function: dgbtrf scalar parameters initialization */
static void init_scalars_dgbtrf( lapack_int *m, lapack_int *n, lapack_int *kl,
                                 lapack_int *ku, lapack_int *ldab )
{
    *m = 4;
    *n = 4;
    *kl = 1;
    *ku = 2;
    *ldab = 25;

    return;
}

/* Auxiliary functions: dgbtrf array parameters initialization */
static void init_ab( lapack_int size, double *ab ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ab[i] = 0;
    }
    ab[0] = 0.00000000000000000e+000;  /* ab[0,0] */
    ab[25] = 0.00000000000000000e+000;  /* ab[0,1] */
    ab[50] = 0.00000000000000000e+000;  /* ab[0,2] */
    ab[75] = 0.00000000000000000e+000;  /* ab[0,3] */
    ab[1] = 0.00000000000000000e+000;  /* ab[1,0] */
    ab[26] = 0.00000000000000000e+000;  /* ab[1,1] */
    ab[51] = -3.66000000000000010e+000;  /* ab[1,2] */
    ab[76] = -2.12999999999999990e+000;  /* ab[1,3] */
    ab[2] = 0.00000000000000000e+000;  /* ab[2,0] */
    ab[27] = 2.54000000000000000e+000;  /* ab[2,1] */
    ab[52] = -2.73000000000000000e+000;  /* ab[2,2] */
    ab[77] = 4.07000000000000030e+000;  /* ab[2,3] */
    ab[3] = -2.30000000000000010e-001;  /* ab[3,0] */
    ab[28] = 2.46000000000000000e+000;  /* ab[3,1] */
    ab[53] = 2.46000000000000000e+000;  /* ab[3,2] */
    ab[78] = -3.81999999999999980e+000;  /* ab[3,3] */
    ab[4] = -6.98000000000000040e+000;  /* ab[4,0] */
    ab[29] = 2.56000000000000010e+000;  /* ab[4,1] */
    ab[54] = -4.78000000000000020e+000;  /* ab[4,2] */
    ab[79] = 0.00000000000000000e+000;  /* ab[4,3] */
}
static void init_ipiv( lapack_int size, lapack_int *ipiv ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ipiv[i] = 0;
    }
}

/* Auxiliary function: C interface to dgbtrf results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_dgbtrf( double *ab, double *ab_i, lapack_int *ipiv,
                           lapack_int *ipiv_i, lapack_int info,
                           lapack_int info_i, lapack_int ldab, lapack_int m,
                           lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldab*n; i++ ) {
        failed += compare_doubles(ab[i],ab_i[i]);
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        failed += (ipiv[i] == ipiv_i[i]) ? 0 : 1;
    }
    failed += (info == info_i) ? 0 : 1;
    if( info != 0 || info_i != 0 ) {
        printf( "info=%d, info_i=%d\n",(int)info,(int)info_i );
    }

    return failed;
}