dgbbrd_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* dgbbrd_1 is the test program for the C interface to LAPACK
* routine dgbbrd
* 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_dgbbrd( char *vect, lapack_int *m, lapack_int *n,
                                 lapack_int *ncc, lapack_int *kl,
                                 lapack_int *ku, lapack_int *ldab,
                                 lapack_int *ldq, lapack_int *ldpt,
                                 lapack_int *ldc );
static void init_ab( lapack_int size, double *ab );
static void init_d( lapack_int size, double *d );
static void init_e( lapack_int size, double *e );
static void init_q( lapack_int size, double *q );
static void init_pt( lapack_int size, double *pt );
static void init_c( lapack_int size, double *c );
static void init_work( lapack_int size, double *work );
static int compare_dgbbrd( double *ab, double *ab_i, double *d, double *d_i,
                           double *e, double *e_i, double *q, double *q_i,
                           double *pt, double *pt_i, double *c, double *c_i,
                           lapack_int info, lapack_int info_i, lapack_int ldab,
                           lapack_int ldc, lapack_int ldpt, lapack_int ldq,
                           lapack_int m, lapack_int n, lapack_int ncc,
                           char vect );

int main(void)
{
    /* Local scalars */
    char vect, vect_i;
    lapack_int m, m_i;
    lapack_int n, n_i;
    lapack_int ncc, ncc_i;
    lapack_int kl, kl_i;
    lapack_int ku, ku_i;
    lapack_int ldab, ldab_i;
    lapack_int ldab_r;
    lapack_int ldq, ldq_i;
    lapack_int ldq_r;
    lapack_int ldpt, ldpt_i;
    lapack_int ldpt_r;
    lapack_int ldc, ldc_i;
    lapack_int ldc_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    double *ab = NULL, *ab_i = NULL;
    double *d = NULL, *d_i = NULL;
    double *e = NULL, *e_i = NULL;
    double *q = NULL, *q_i = NULL;
    double *pt = NULL, *pt_i = NULL;
    double *c = NULL, *c_i = NULL;
    double *work = NULL, *work_i = NULL;
    double *ab_save = NULL;
    double *d_save = NULL;
    double *e_save = NULL;
    double *q_save = NULL;
    double *pt_save = NULL;
    double *c_save = NULL;
    double *ab_r = NULL;
    double *q_r = NULL;
    double *pt_r = NULL;
    double *c_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_dgbbrd( &vect, &m, &n, &ncc, &kl, &ku, &ldab, &ldq, &ldpt,
                         &ldc );
    ldab_r = n+2;
    ldq_r = m+2;
    ldpt_r = n+2;
    ldc_r = ncc+2;
    vect_i = vect;
    m_i = m;
    n_i = n;
    ncc_i = ncc;
    kl_i = kl;
    ku_i = ku;
    ldab_i = ldab;
    ldq_i = ldq;
    ldpt_i = ldpt;
    ldc_i = ldc;

    /* Allocate memory for the LAPACK routine arrays */
    ab = (double *)LAPACKE_malloc( ldab*n * sizeof(double) );
    d = (double *)LAPACKE_malloc( MIN(m,n) * sizeof(double) );
    e = (double *)LAPACKE_malloc( ((MIN(m,n)-1)) * sizeof(double) );
    q = (double *)LAPACKE_malloc( ldq*m * sizeof(double) );
    pt = (double *)LAPACKE_malloc( ldpt*n * sizeof(double) );
    c = (double *)LAPACKE_malloc( ldc*ncc * sizeof(double) );
    work = (double *)LAPACKE_malloc( ((2*MAX(m,n))) * sizeof(double) );

    /* Allocate memory for the C interface function arrays */
    ab_i = (double *)LAPACKE_malloc( ldab*n * sizeof(double) );
    d_i = (double *)LAPACKE_malloc( MIN(m,n) * sizeof(double) );
    e_i = (double *)LAPACKE_malloc( ((MIN(m,n)-1)) * sizeof(double) );
    q_i = (double *)LAPACKE_malloc( ldq*m * sizeof(double) );
    pt_i = (double *)LAPACKE_malloc( ldpt*n * sizeof(double) );
    c_i = (double *)LAPACKE_malloc( ldc*ncc * sizeof(double) );
    work_i = (double *)LAPACKE_malloc( ((2*MAX(m,n))) * sizeof(double) );

    /* Allocate memory for the backup arrays */
    ab_save = (double *)LAPACKE_malloc( ldab*n * sizeof(double) );
    d_save = (double *)LAPACKE_malloc( MIN(m,n) * sizeof(double) );
    e_save = (double *)LAPACKE_malloc( ((MIN(m,n)-1)) * sizeof(double) );
    q_save = (double *)LAPACKE_malloc( ldq*m * sizeof(double) );
    pt_save = (double *)LAPACKE_malloc( ldpt*n * sizeof(double) );
    c_save = (double *)LAPACKE_malloc( ldc*ncc * sizeof(double) );

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

    /* Initialize input arrays */
    init_ab( ldab*n, ab );
    init_d( (MIN(m,n)), d );
    init_e( (MIN(m,n)-1), e );
    init_q( ldq*m, q );
    init_pt( ldpt*n, pt );
    init_c( ldc*ncc, c );
    init_work( (2*MAX(m,n)), work );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldab*n; i++ ) {
        ab_save[i] = ab[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        d_save[i] = d[i];
    }
    for( i = 0; i < (MIN(m,n)-1); i++ ) {
        e_save[i] = e[i];
    }
    for( i = 0; i < ldq*m; i++ ) {
        q_save[i] = q[i];
    }
    for( i = 0; i < ldpt*n; i++ ) {
        pt_save[i] = pt[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_save[i] = c[i];
    }

    /* Call the LAPACK routine */
    dgbbrd_( &vect, &m, &n, &ncc, &kl, &ku, ab, &ldab, d, e, q, &ldq, pt, &ldpt,
             c, &ldc, work, &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++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (MIN(m,n)-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldq*m; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < ldpt*n; i++ ) {
        pt_i[i] = pt_save[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < (2*MAX(m,n)); i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_dgbbrd_work( LAPACK_COL_MAJOR, vect_i, m_i, n_i, ncc_i,
                                  kl_i, ku_i, ab_i, ldab_i, d_i, e_i, q_i,
                                  ldq_i, pt_i, ldpt_i, c_i, ldc_i, work_i );

    failed = compare_dgbbrd( ab, ab_i, d, d_i, e, e_i, q, q_i, pt, pt_i, c, c_i,
                             info, info_i, ldab, ldc, ldpt, ldq, m, n, ncc,
                             vect );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to dgbbrd\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to dgbbrd\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++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (MIN(m,n)-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldq*m; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < ldpt*n; i++ ) {
        pt_i[i] = pt_save[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < (2*MAX(m,n)); i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_dgbbrd( LAPACK_COL_MAJOR, vect_i, m_i, n_i, ncc_i, kl_i,
                             ku_i, ab_i, ldab_i, d_i, e_i, q_i, ldq_i, pt_i,
                             ldpt_i, c_i, ldc_i );

    failed = compare_dgbbrd( ab, ab_i, d, d_i, e, e_i, q, q_i, pt, pt_i, c, c_i,
                             info, info_i, ldab, ldc, ldpt, ldq, m, n, ncc,
                             vect );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to dgbbrd\n" );
    } else {
        printf( "FAILED: column-major high-level interface to dgbbrd\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++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (MIN(m,n)-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldq*m; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < ldpt*n; i++ ) {
        pt_i[i] = pt_save[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < (2*MAX(m,n)); i++ ) {
        work_i[i] = work[i];
    }

    LAPACKE_dge_trans( LAPACK_COL_MAJOR, kl+ku+1, n, ab_i, ldab, ab_r, n+2 );
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'q' ) ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, m, q_i, ldq, q_r, m+2 );
    }
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'p' ) ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, pt_i, ldpt, pt_r, n+2 );
    }
    if( ncc != 0 ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, ncc, c_i, ldc, c_r, ncc+2 );
    }
    info_i = LAPACKE_dgbbrd_work( LAPACK_ROW_MAJOR, vect_i, m_i, n_i, ncc_i,
                                  kl_i, ku_i, ab_r, ldab_r, d_i, e_i, q_r,
                                  ldq_r, pt_r, ldpt_r, c_r, ldc_r, work_i );

    LAPACKE_dge_trans( LAPACK_ROW_MAJOR, kl+ku+1, n, ab_r, n+2, ab_i, ldab );
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'q' ) ) {
        LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, m, q_r, m+2, q_i, ldq );
    }
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'p' ) ) {
        LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, n, pt_r, n+2, pt_i, ldpt );
    }
    if( ncc != 0 ) {
        LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, ncc, c_r, ncc+2, c_i, ldc );
    }

    failed = compare_dgbbrd( ab, ab_i, d, d_i, e, e_i, q, q_i, pt, pt_i, c, c_i,
                             info, info_i, ldab, ldc, ldpt, ldq, m, n, ncc,
                             vect );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to dgbbrd\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to dgbbrd\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++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (MIN(m,n)-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldq*m; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < ldpt*n; i++ ) {
        pt_i[i] = pt_save[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < (2*MAX(m,n)); i++ ) {
        work_i[i] = work[i];
    }

    /* Init row_major arrays */
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, kl+ku+1, n, ab_i, ldab, ab_r, n+2 );
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'q' ) ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, m, q_i, ldq, q_r, m+2 );
    }
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'p' ) ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, pt_i, ldpt, pt_r, n+2 );
    }
    if( ncc != 0 ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, ncc, c_i, ldc, c_r, ncc+2 );
    }
    info_i = LAPACKE_dgbbrd( LAPACK_ROW_MAJOR, vect_i, m_i, n_i, ncc_i, kl_i,
                             ku_i, ab_r, ldab_r, d_i, e_i, q_r, ldq_r, pt_r,
                             ldpt_r, c_r, ldc_r );

    LAPACKE_dge_trans( LAPACK_ROW_MAJOR, kl+ku+1, n, ab_r, n+2, ab_i, ldab );
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'q' ) ) {
        LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, m, q_r, m+2, q_i, ldq );
    }
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'p' ) ) {
        LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, n, pt_r, n+2, pt_i, ldpt );
    }
    if( ncc != 0 ) {
        LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, ncc, c_r, ncc+2, c_i, ldc );
    }

    failed = compare_dgbbrd( ab, ab_i, d, d_i, e, e_i, q, q_i, pt, pt_i, c, c_i,
                             info, info_i, ldab, ldc, ldpt, ldq, m, n, ncc,
                             vect );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to dgbbrd\n" );
    } else {
        printf( "FAILED: row-major high-level interface to dgbbrd\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( d != NULL ) {
        LAPACKE_free( d );
    }
    if( d_i != NULL ) {
        LAPACKE_free( d_i );
    }
    if( d_save != NULL ) {
        LAPACKE_free( d_save );
    }
    if( e != NULL ) {
        LAPACKE_free( e );
    }
    if( e_i != NULL ) {
        LAPACKE_free( e_i );
    }
    if( e_save != NULL ) {
        LAPACKE_free( e_save );
    }
    if( q != NULL ) {
        LAPACKE_free( q );
    }
    if( q_i != NULL ) {
        LAPACKE_free( q_i );
    }
    if( q_r != NULL ) {
        LAPACKE_free( q_r );
    }
    if( q_save != NULL ) {
        LAPACKE_free( q_save );
    }
    if( pt != NULL ) {
        LAPACKE_free( pt );
    }
    if( pt_i != NULL ) {
        LAPACKE_free( pt_i );
    }
    if( pt_r != NULL ) {
        LAPACKE_free( pt_r );
    }
    if( pt_save != NULL ) {
        LAPACKE_free( pt_save );
    }
    if( c != NULL ) {
        LAPACKE_free( c );
    }
    if( c_i != NULL ) {
        LAPACKE_free( c_i );
    }
    if( c_r != NULL ) {
        LAPACKE_free( c_r );
    }
    if( c_save != NULL ) {
        LAPACKE_free( c_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }

    return 0;
}

/* Auxiliary function: dgbbrd scalar parameters initialization */
static void init_scalars_dgbbrd( char *vect, lapack_int *m, lapack_int *n,
                                 lapack_int *ncc, lapack_int *kl,
                                 lapack_int *ku, lapack_int *ldab,
                                 lapack_int *ldq, lapack_int *ldpt,
                                 lapack_int *ldc )
{
    *vect = 'N';
    *m = 6;
    *n = 4;
    *ncc = 0;
    *kl = 2;
    *ku = 1;
    *ldab = 17;
    *ldq = 8;
    *ldpt = 8;
    *ldc = 8;

    return;
}

/* Auxiliary functions: dgbbrd 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[17] = -1.28000000000000000e+000;  /* ab[0,1] */
    ab[34] = -3.10000000000000000e-001;  /* ab[0,2] */
    ab[51] = -3.49999999999999980e-001;  /* ab[0,3] */
    ab[1] = -5.69999999999999950e-001;  /* ab[1,0] */
    ab[18] = 1.08000000000000010e+000;  /* ab[1,1] */
    ab[35] = 4.00000000000000020e-001;  /* ab[1,2] */
    ab[52] = 8.00000000000000020e-002;  /* ab[1,3] */
    ab[2] = -1.92999999999999990e+000;  /* ab[2,0] */
    ab[19] = 2.39999999999999990e-001;  /* ab[2,1] */
    ab[36] = -6.60000000000000030e-001;  /* ab[2,2] */
    ab[53] = -2.12999999999999990e+000;  /* ab[2,3] */
    ab[3] = 2.29999999999999980e+000;  /* ab[3,0] */
    ab[20] = 6.40000000000000010e-001;  /* ab[3,1] */
    ab[37] = 1.49999999999999990e-001;  /* ab[3,2] */
    ab[54] = 5.00000000000000000e-001;  /* ab[3,3] */
}
static void init_d( lapack_int size, double *d ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        d[i] = 0;
    }
}
static void init_e( lapack_int size, double *e ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        e[i] = 0;
    }
}
static void init_q( lapack_int size, double *q ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        q[i] = 0;
    }
}
static void init_pt( lapack_int size, double *pt ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        pt[i] = 0;
    }
}
static void init_c( lapack_int size, double *c ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        c[i] = 0;
    }
}
static void init_work( lapack_int size, double *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = 0;
    }
}

/* Auxiliary function: C interface to dgbbrd results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_dgbbrd( double *ab, double *ab_i, double *d, double *d_i,
                           double *e, double *e_i, double *q, double *q_i,
                           double *pt, double *pt_i, double *c, double *c_i,
                           lapack_int info, lapack_int info_i, lapack_int ldab,
                           lapack_int ldc, lapack_int ldpt, lapack_int ldq,
                           lapack_int m, lapack_int n, lapack_int ncc,
                           char vect )
{
    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 += compare_doubles(d[i],d_i[i]);
    }
    for( i = 0; i < (MIN(m,n)-1); i++ ) {
        failed += compare_doubles(e[i],e_i[i]);
    }
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'q' ) ) {
        for( i = 0; i < ldq*m; i++ ) {
            failed += compare_doubles(q[i],q_i[i]);
        }
    }
    if( LAPACKE_lsame( vect, 'b' ) || LAPACKE_lsame( vect, 'p' ) ) {
        for( i = 0; i < ldpt*n; i++ ) {
            failed += compare_doubles(pt[i],pt_i[i]);
        }
    }
    if( ncc != 0 ) {
        for( i = 0; i < ldc*ncc; i++ ) {
            failed += compare_doubles(c[i],c_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;
}