dgebal_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* dgebal_1 is the test program for the C interface to LAPACK
* routine dgebal
* 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_dgebal( char *job, lapack_int *n, lapack_int *lda );
static void init_a( lapack_int size, double *a );
static void init_scale( lapack_int size, double *scale );
static int compare_dgebal( double *a, double *a_i, lapack_int ilo,
                           lapack_int ilo_i, lapack_int ihi, lapack_int ihi_i,
                           double *scale, double *scale_i, lapack_int info,
                           lapack_int info_i, char job, lapack_int lda,
                           lapack_int n );

int main(void)
{
    /* Local scalars */
    char job, job_i;
    lapack_int n, n_i;
    lapack_int lda, lda_i;
    lapack_int lda_r;
    lapack_int ilo, ilo_i;
    lapack_int ihi, ihi_i;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    double *a = NULL, *a_i = NULL;
    double *scale = NULL, *scale_i = NULL;
    double *a_save = NULL;
    double *scale_save = NULL;
    double *a_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_dgebal( &job, &n, &lda );
    lda_r = n+2;
    job_i = job;
    n_i = n;
    lda_i = lda;

    /* Allocate memory for the LAPACK routine arrays */
    a = (double *)LAPACKE_malloc( lda*n * sizeof(double) );
    scale = (double *)LAPACKE_malloc( n * sizeof(double) );

    /* Allocate memory for the C interface function arrays */
    a_i = (double *)LAPACKE_malloc( lda*n * sizeof(double) );
    scale_i = (double *)LAPACKE_malloc( n * sizeof(double) );

    /* Allocate memory for the backup arrays */
    a_save = (double *)LAPACKE_malloc( lda*n * sizeof(double) );
    scale_save = (double *)LAPACKE_malloc( n * sizeof(double) );

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

    /* Initialize input arrays */
    init_a( lda*n, a );
    init_scale( n, scale );

    /* Backup the ouptut arrays */
    for( i = 0; i < lda*n; i++ ) {
        a_save[i] = a[i];
    }
    for( i = 0; i < n; i++ ) {
        scale_save[i] = scale[i];
    }

    /* Call the LAPACK routine */
    dgebal_( &job, &n, a, &lda, &ilo, &ihi, scale, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a_save[i];
    }
    for( i = 0; i < n; i++ ) {
        scale_i[i] = scale_save[i];
    }
    info_i = LAPACKE_dgebal_work( LAPACK_COL_MAJOR, job_i, n_i, a_i, lda_i,
                                  &ilo_i, &ihi_i, scale_i );

    failed = compare_dgebal( a, a_i, ilo, ilo_i, ihi, ihi_i, scale, scale_i,
                             info, info_i, job, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to dgebal\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to dgebal\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a_save[i];
    }
    for( i = 0; i < n; i++ ) {
        scale_i[i] = scale_save[i];
    }
    info_i = LAPACKE_dgebal( LAPACK_COL_MAJOR, job_i, n_i, a_i, lda_i, &ilo_i,
                             &ihi_i, scale_i );

    failed = compare_dgebal( a, a_i, ilo, ilo_i, ihi, ihi_i, scale, scale_i,
                             info, info_i, job, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to dgebal\n" );
    } else {
        printf( "FAILED: column-major high-level interface to dgebal\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a_save[i];
    }
    for( i = 0; i < n; i++ ) {
        scale_i[i] = scale_save[i];
    }

    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'p' ) ||
        LAPACKE_lsame( job, 's' ) ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
    }
    info_i = LAPACKE_dgebal_work( LAPACK_ROW_MAJOR, job_i, n_i, a_r, lda_r,
                                  &ilo_i, &ihi_i, scale_i );

    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'p' ) ||
        LAPACKE_lsame( job, 's' ) ) {
        LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, n, a_r, n+2, a_i, lda );
    }

    failed = compare_dgebal( a, a_i, ilo, ilo_i, ihi, ihi_i, scale, scale_i,
                             info, info_i, job, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to dgebal\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to dgebal\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a_save[i];
    }
    for( i = 0; i < n; i++ ) {
        scale_i[i] = scale_save[i];
    }

    /* Init row_major arrays */
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'p' ) ||
        LAPACKE_lsame( job, 's' ) ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
    }
    info_i = LAPACKE_dgebal( LAPACK_ROW_MAJOR, job_i, n_i, a_r, lda_r, &ilo_i,
                             &ihi_i, scale_i );

    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'p' ) ||
        LAPACKE_lsame( job, 's' ) ) {
        LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, n, a_r, n+2, a_i, lda );
    }

    failed = compare_dgebal( a, a_i, ilo, ilo_i, ihi, ihi_i, scale, scale_i,
                             info, info_i, job, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to dgebal\n" );
    } else {
        printf( "FAILED: row-major high-level interface to dgebal\n" );
    }

    /* Release memory */
    if( a != NULL ) {
        LAPACKE_free( a );
    }
    if( a_i != NULL ) {
        LAPACKE_free( a_i );
    }
    if( a_r != NULL ) {
        LAPACKE_free( a_r );
    }
    if( a_save != NULL ) {
        LAPACKE_free( a_save );
    }
    if( scale != NULL ) {
        LAPACKE_free( scale );
    }
    if( scale_i != NULL ) {
        LAPACKE_free( scale_i );
    }
    if( scale_save != NULL ) {
        LAPACKE_free( scale_save );
    }

    return 0;
}

/* Auxiliary function: dgebal scalar parameters initialization */
static void init_scalars_dgebal( char *job, lapack_int *n, lapack_int *lda )
{
    *job = 'B';
    *n = 4;
    *lda = 8;

    return;
}

/* Auxiliary functions: dgebal array parameters initialization */
static void init_a( lapack_int size, double *a ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        a[i] = 0;
    }
    a[0] = 5.13999999999999970e+000;  /* a[0,0] */
    a[8] = 9.10000000000000030e-001;  /* a[0,1] */
    a[16] = 0.00000000000000000e+000;  /* a[0,2] */
    a[24] = -3.27999999999999970e+001;  /* a[0,3] */
    a[1] = 9.10000000000000030e-001;  /* a[1,0] */
    a[9] = 2.00000000000000010e-001;  /* a[1,1] */
    a[17] = 0.00000000000000000e+000;  /* a[1,2] */
    a[25] = 3.45000000000000000e+001;  /* a[1,3] */
    a[2] = 1.89999999999999990e+000;  /* a[2,0] */
    a[10] = 8.00000000000000040e-001;  /* a[2,1] */
    a[18] = -4.00000000000000020e-001;  /* a[2,2] */
    a[26] = -3.00000000000000000e+000;  /* a[2,3] */
    a[3] = -3.30000000000000020e-001;  /* a[3,0] */
    a[11] = 3.49999999999999980e-001;  /* a[3,1] */
    a[19] = 0.00000000000000000e+000;  /* a[3,2] */
    a[27] = 6.60000000000000030e-001;  /* a[3,3] */
}
static void init_scale( lapack_int size, double *scale ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        scale[i] = 0;
    }
}

/* Auxiliary function: C interface to dgebal results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_dgebal( double *a, double *a_i, lapack_int ilo,
                           lapack_int ilo_i, lapack_int ihi, lapack_int ihi_i,
                           double *scale, double *scale_i, lapack_int info,
                           lapack_int info_i, char job, lapack_int lda,
                           lapack_int n )
{
    lapack_int i;
    int failed = 0;
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'p' ) ||
        LAPACKE_lsame( job, 's' ) ) {
        for( i = 0; i < lda*n; i++ ) {
            failed += compare_doubles(a[i],a_i[i]);
        }
    }
    failed += (ilo == ilo_i) ? 0 : 1;
    failed += (ihi == ihi_i) ? 0 : 1;
    for( i = 0; i < n; i++ ) {
        failed += compare_doubles(scale[i],scale_i[i]);
    }
    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;
}