sgebrd_3.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* sgebrd_3 is the test program for the C interface to LAPACK
* routine sgebrd
* 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_sgebrd( lapack_int *m, lapack_int *n, lapack_int *lda,
                                 lapack_int *lwork );
static void init_a( lapack_int size, float *a );
static void init_d( lapack_int size, float *d );
static void init_e( lapack_int size, float *e );
static void init_tauq( lapack_int size, float *tauq );
static void init_taup( lapack_int size, float *taup );
static void init_work( lapack_int size, float *work );
static int compare_sgebrd( float *a, float *a_i, float *d, float *d_i, float *e,
                           float *e_i, float *tauq, float *tauq_i, float *taup,
                           float *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 */
    float *a = NULL, *a_i = NULL;
    float *d = NULL, *d_i = NULL;
    float *e = NULL, *e_i = NULL;
    float *tauq = NULL, *tauq_i = NULL;
    float *taup = NULL, *taup_i = NULL;
    float *work = NULL, *work_i = NULL;
    float *a_save = NULL;
    float *d_save = NULL;
    float *e_save = NULL;
    float *tauq_save = NULL;
    float *taup_save = NULL;
    float *a_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_sgebrd( &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 = (float *)LAPACKE_malloc( lda*n * sizeof(float) );
    d = (float *)LAPACKE_malloc( MIN(m,n) * sizeof(float) );
    e = (float *)LAPACKE_malloc( ((MIN(m,n)-1)) * sizeof(float) );
    tauq = (float *)LAPACKE_malloc( MIN(m,n) * sizeof(float) );
    taup = (float *)LAPACKE_malloc( MIN(m,n) * sizeof(float) );
    work = (float *)LAPACKE_malloc( lwork * sizeof(float) );

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

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

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

    /* 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 */
    sgebrd_( &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_sgebrd_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_sgebrd( 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 sgebrd\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to sgebrd\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_sgebrd( LAPACK_COL_MAJOR, m_i, n_i, a_i, lda_i, d_i, e_i,
                             tauq_i, taup_i );

    failed = compare_sgebrd( 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 sgebrd\n" );
    } else {
        printf( "FAILED: column-major high-level interface to sgebrd\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_sge_trans( LAPACK_COL_MAJOR, m, n, a_i, lda, a_r, n+2 );
    info_i = LAPACKE_sgebrd_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_sge_trans( LAPACK_ROW_MAJOR, m, n, a_r, n+2, a_i, lda );

    failed = compare_sgebrd( 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 sgebrd\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to sgebrd\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_sge_trans( LAPACK_COL_MAJOR, m, n, a_i, lda, a_r, n+2 );
    info_i = LAPACKE_sgebrd( LAPACK_ROW_MAJOR, m_i, n_i, a_r, lda_r, d_i, e_i,
                             tauq_i, taup_i );

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

    failed = compare_sgebrd( 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 sgebrd\n" );
    } else {
        printf( "FAILED: row-major high-level interface to sgebrd\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: sgebrd scalar parameters initialization */
static void init_scalars_sgebrd( lapack_int *m, lapack_int *n, lapack_int *lda,
                                 lapack_int *lwork )
{
    *m = 4;
    *n = 6;
    *lda = 8;
    *lwork = 1024;

    return;
}

/* Auxiliary functions: sgebrd array parameters initialization */
static void init_a( lapack_int size, float *a ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        a[i] = 0;
    }
    a[0] = -5.420000076e+000;  /* a[0,0] */
    a[8] = 3.279999971e+000;  /* a[0,1] */
    a[16] = -3.680000067e+000;  /* a[0,2] */
    a[24] = 2.700000107e-001;  /* a[0,3] */
    a[32] = 2.059999943e+000;  /* a[0,4] */
    a[40] = 4.600000083e-001;  /* a[0,5] */
    a[1] = -1.649999976e+000;  /* a[1,0] */
    a[9] = -3.400000095e+000;  /* a[1,1] */
    a[17] = -3.200000048e+000;  /* a[1,2] */
    a[25] = -1.029999971e+000;  /* a[1,3] */
    a[33] = -4.059999943e+000;  /* a[1,4] */
    a[41] = -9.999999776e-003;  /* a[1,5] */
    a[2] = -3.700000048e-001;  /* a[2,0] */
    a[10] = 2.349999905e+000;  /* a[2,1] */
    a[18] = 1.899999976e+000;  /* a[2,2] */
    a[26] = 4.309999943e+000;  /* a[2,3] */
    a[34] = -1.759999990e+000;  /* a[2,4] */
    a[42] = 1.129999995e+000;  /* a[2,5] */
    a[3] = -3.150000095e+000;  /* a[3,0] */
    a[11] = -1.099999994e-001;  /* a[3,1] */
    a[19] = 1.990000010e+000;  /* a[3,2] */
    a[27] = -2.700000048e+000;  /* a[3,3] */
    a[35] = 2.599999905e-001;  /* a[3,4] */
    a[43] = 4.500000000e+000;  /* a[3,5] */
}
static void init_d( lapack_int size, float *d ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        d[i] = 0;
    }
}
static void init_e( lapack_int size, float *e ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        e[i] = 0;
    }
}
static void init_tauq( lapack_int size, float *tauq ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        tauq[i] = 0;
    }
}
static void init_taup( lapack_int size, float *taup ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        taup[i] = 0;
    }
}
static void init_work( lapack_int size, float *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = 0;
    }
}

/* Auxiliary function: C interface to sgebrd results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_sgebrd( float *a, float *a_i, float *d, float *d_i, float *e,
                           float *e_i, float *tauq, float *tauq_i, float *taup,
                           float *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_floats(a[i],a_i[i]);
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        failed += compare_floats(d[i],d_i[i]);
    }
    for( i = 0; i < (MIN(m,n)-1); i++ ) {
        failed += compare_floats(e[i],e_i[i]);
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        failed += compare_floats(tauq[i],tauq_i[i]);
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        failed += compare_floats(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;
}