zgebrd_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zgebrd_1 is the test program for the C interface to LAPACK
* routine zgebrd
* 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_zgebrd( lapack_int *m, lapack_int *n, lapack_int *lda,
                                 lapack_int *lwork );
static void init_a( lapack_int size, lapack_complex_double *a );
static void init_d( lapack_int size, double *d );
static void init_e( lapack_int size, double *e );
static void init_tauq( lapack_int size, lapack_complex_double *tauq );
static void init_taup( lapack_int size, lapack_complex_double *taup );
static void init_work( lapack_int size, lapack_complex_double *work );
static int compare_zgebrd( lapack_complex_double *a, lapack_complex_double *a_i,
                           double *d, double *d_i, double *e, double *e_i,
                           lapack_complex_double *tauq,
                           lapack_complex_double *tauq_i,
                           lapack_complex_double *taup,
                           lapack_complex_double *taup_i, lapack_int info,
                           lapack_int info_i, lapack_int lda, lapack_int m,
                           lapack_int n );

int main(void)
{
    /* Local scalars */
    lapack_int m, m_i;
    lapack_int n, n_i;
    lapack_int lda, lda_i;
    lapack_int lda_r;
    lapack_int lwork, lwork_i;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_complex_double *a = NULL, *a_i = NULL;
    double *d = NULL, *d_i = NULL;
    double *e = NULL, *e_i = NULL;
    lapack_complex_double *tauq = NULL, *tauq_i = NULL;
    lapack_complex_double *taup = NULL, *taup_i = NULL;
    lapack_complex_double *work = NULL, *work_i = NULL;
    lapack_complex_double *a_save = NULL;
    double *d_save = NULL;
    double *e_save = NULL;
    lapack_complex_double *tauq_save = NULL;
    lapack_complex_double *taup_save = NULL;
    lapack_complex_double *a_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zgebrd( &m, &n, &lda, &lwork );
    lda_r = n+2;
    m_i = m;
    n_i = n;
    lda_i = lda;
    lwork_i = lwork;

    /* Allocate memory for the LAPACK routine arrays */
    a = (lapack_complex_double *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
    d = (double *)LAPACKE_malloc( MIN(m,n) * sizeof(double) );
    e = (double *)LAPACKE_malloc( ((MIN(m,n)-1)) * sizeof(double) );
    tauq = (lapack_complex_double *)
        LAPACKE_malloc( MIN(m,n) * sizeof(lapack_complex_double) );
    taup = (lapack_complex_double *)
        LAPACKE_malloc( MIN(m,n) * sizeof(lapack_complex_double) );
    work = (lapack_complex_double *)
        LAPACKE_malloc( lwork * sizeof(lapack_complex_double) );

    /* Allocate memory for the C interface function arrays */
    a_i = (lapack_complex_double *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
    d_i = (double *)LAPACKE_malloc( MIN(m,n) * sizeof(double) );
    e_i = (double *)LAPACKE_malloc( ((MIN(m,n)-1)) * sizeof(double) );
    tauq_i = (lapack_complex_double *)
        LAPACKE_malloc( MIN(m,n) * sizeof(lapack_complex_double) );
    taup_i = (lapack_complex_double *)
        LAPACKE_malloc( MIN(m,n) * sizeof(lapack_complex_double) );
    work_i = (lapack_complex_double *)
        LAPACKE_malloc( lwork * sizeof(lapack_complex_double) );

    /* Allocate memory for the backup arrays */
    a_save = (lapack_complex_double *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
    d_save = (double *)LAPACKE_malloc( MIN(m,n) * sizeof(double) );
    e_save = (double *)LAPACKE_malloc( ((MIN(m,n)-1)) * sizeof(double) );
    tauq_save = (lapack_complex_double *)
        LAPACKE_malloc( MIN(m,n) * sizeof(lapack_complex_double) );
    taup_save = (lapack_complex_double *)
        LAPACKE_malloc( MIN(m,n) * sizeof(lapack_complex_double) );

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

    /* Initialize input arrays */
    init_a( lda*n, a );
    init_d( (MIN(m,n)), d );
    init_e( (MIN(m,n)-1), e );
    init_tauq( (MIN(m,n)), tauq );
    init_taup( (MIN(m,n)), taup );
    init_work( lwork, work );

    /* Backup the ouptut arrays */
    for( i = 0; i < lda*n; i++ ) {
        a_save[i] = a[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 < (MIN(m,n)); i++ ) {
        tauq_save[i] = tauq[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        taup_save[i] = taup[i];
    }

    /* Call the LAPACK routine */
    zgebrd_( &m, &n, a, &lda, d, e, tauq, taup, work, &lwork, &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 < (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 < (MIN(m,n)); i++ ) {
        tauq_i[i] = tauq_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        taup_i[i] = taup_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zgebrd_work( LAPACK_COL_MAJOR, m_i, n_i, a_i, lda_i, d_i,
                                  e_i, tauq_i, taup_i, work_i, lwork_i );

    failed = compare_zgebrd( a, a_i, d, d_i, e, e_i, tauq, tauq_i, taup, taup_i,
                             info, info_i, lda, m, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zgebrd\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zgebrd\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 < (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 < (MIN(m,n)); i++ ) {
        tauq_i[i] = tauq_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        taup_i[i] = taup_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zgebrd( LAPACK_COL_MAJOR, m_i, n_i, a_i, lda_i, d_i, e_i,
                             tauq_i, taup_i );

    failed = compare_zgebrd( a, a_i, d, d_i, e, e_i, tauq, tauq_i, taup, taup_i,
                             info, info_i, lda, m, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zgebrd\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zgebrd\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 < (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 < (MIN(m,n)); i++ ) {
        tauq_i[i] = tauq_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        taup_i[i] = taup_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }

    LAPACKE_zge_trans( LAPACK_COL_MAJOR, m, n, a_i, lda, a_r, n+2 );
    info_i = LAPACKE_zgebrd_work( LAPACK_ROW_MAJOR, m_i, n_i, a_r, lda_r, d_i,
                                  e_i, tauq_i, taup_i, work_i, lwork_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, m, n, a_r, n+2, a_i, lda );

    failed = compare_zgebrd( a, a_i, d, d_i, e, e_i, tauq, tauq_i, taup, taup_i,
                             info, info_i, lda, m, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zgebrd\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zgebrd\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 < (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 < (MIN(m,n)); i++ ) {
        tauq_i[i] = tauq_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        taup_i[i] = taup_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }

    /* Init row_major arrays */
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, m, n, a_i, lda, a_r, n+2 );
    info_i = LAPACKE_zgebrd( LAPACK_ROW_MAJOR, m_i, n_i, a_r, lda_r, d_i, e_i,
                             tauq_i, taup_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, m, n, a_r, n+2, a_i, lda );

    failed = compare_zgebrd( a, a_i, d, d_i, e, e_i, tauq, tauq_i, taup, taup_i,
                             info, info_i, lda, m, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zgebrd\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zgebrd\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( 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( tauq != NULL ) {
        LAPACKE_free( tauq );
    }
    if( tauq_i != NULL ) {
        LAPACKE_free( tauq_i );
    }
    if( tauq_save != NULL ) {
        LAPACKE_free( tauq_save );
    }
    if( taup != NULL ) {
        LAPACKE_free( taup );
    }
    if( taup_i != NULL ) {
        LAPACKE_free( taup_i );
    }
    if( taup_save != NULL ) {
        LAPACKE_free( taup_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }

    return 0;
}

/* Auxiliary function: zgebrd scalar parameters initialization */
static void init_scalars_zgebrd( lapack_int *m, lapack_int *n, lapack_int *lda,
                                 lapack_int *lwork )
{
    *m = 6;
    *n = 4;
    *lda = 8;
    *lwork = 1024;

    return;
}

/* Auxiliary functions: zgebrd array parameters initialization */
static void init_a( lapack_int size, lapack_complex_double *a ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        a[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    a[0] = lapack_make_complex_double( 9.59999999999999960e-001,
                                       -8.10000000000000050e-001 );
    a[8] = lapack_make_complex_double( -2.99999999999999990e-002,
                                       9.59999999999999960e-001 );
    a[16] = lapack_make_complex_double( -9.10000000000000030e-001,
                                        2.06000000000000010e+000 );
    a[24] = lapack_make_complex_double( -5.00000000000000030e-002,
                                        4.09999999999999980e-001 );
    a[1] = lapack_make_complex_double( -9.79999999999999980e-001,
                                       1.98000000000000000e+000 );
    a[9] = lapack_make_complex_double( -1.20000000000000000e+000,
                                       1.90000000000000000e-001 );
    a[17] = lapack_make_complex_double( -6.60000000000000030e-001,
                                        4.19999999999999980e-001 );
    a[25] = lapack_make_complex_double( -8.10000000000000050e-001,
                                        5.60000000000000050e-001 );
    a[2] = lapack_make_complex_double( 6.20000000000000000e-001,
                                       -4.60000000000000020e-001 );
    a[10] = lapack_make_complex_double( 1.01000000000000000e+000,
                                        2.00000000000000000e-002 );
    a[18] = lapack_make_complex_double( 6.30000000000000000e-001,
                                        -1.70000000000000010e-001 );
    a[26] = lapack_make_complex_double( -1.11000000000000010e+000,
                                        5.99999999999999980e-001 );
    a[3] = lapack_make_complex_double( -3.70000000000000000e-001,
                                       3.80000000000000000e-001 );
    a[11] = lapack_make_complex_double( 1.90000000000000000e-001,
                                        -5.40000000000000040e-001 );
    a[19] = lapack_make_complex_double( -9.79999999999999980e-001,
                                        -3.59999999999999990e-001 );
    a[27] = lapack_make_complex_double( 2.20000000000000000e-001,
                                        -2.00000000000000010e-001 );
    a[4] = lapack_make_complex_double( 8.29999999999999960e-001,
                                       5.10000000000000010e-001 );
    a[12] = lapack_make_complex_double( 2.00000000000000010e-001,
                                        1.00000000000000000e-002 );
    a[20] = lapack_make_complex_double( -1.70000000000000010e-001,
                                        -4.60000000000000020e-001 );
    a[28] = lapack_make_complex_double( 1.47000000000000000e+000,
                                        1.59000000000000010e+000 );
    a[5] = lapack_make_complex_double( 1.08000000000000010e+000,
                                       -2.80000000000000030e-001 );
    a[13] = lapack_make_complex_double( 2.00000000000000010e-001,
                                        -1.20000000000000000e-001 );
    a[21] = lapack_make_complex_double( -7.00000000000000070e-002,
                                        1.23000000000000000e+000 );
    a[29] = lapack_make_complex_double( 2.60000000000000010e-001,
                                        2.60000000000000010e-001 );
}
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_tauq( lapack_int size, lapack_complex_double *tauq ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        tauq[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
}
static void init_taup( lapack_int size, lapack_complex_double *taup ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        taup[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
}
static void init_work( lapack_int size, lapack_complex_double *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
}

/* Auxiliary function: C interface to zgebrd results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zgebrd( lapack_complex_double *a, lapack_complex_double *a_i,
                           double *d, double *d_i, double *e, double *e_i,
                           lapack_complex_double *tauq,
                           lapack_complex_double *tauq_i,
                           lapack_complex_double *taup,
                           lapack_complex_double *taup_i, lapack_int info,
                           lapack_int info_i, lapack_int lda, lapack_int m,
                           lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < lda*n; i++ ) {
        failed += compare_complex_doubles(a[i],a_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]);
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        failed += compare_complex_doubles(tauq[i],tauq_i[i]);
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        failed += compare_complex_doubles(taup[i],taup_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;
}