zstein_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zstein_1 is the test program for the C interface to LAPACK
* routine zstein
* 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_zstein( lapack_int *n, lapack_int *m,
                                 lapack_int *ldz );
static void init_d( lapack_int size, double *d );
static void init_e( lapack_int size, double *e );
static void init_w( lapack_int size, double *w );
static void init_iblock( lapack_int size, lapack_int *iblock );
static void init_isplit( lapack_int size, lapack_int *isplit );
static void init_z( lapack_int size, lapack_complex_double *z );
static void init_work( lapack_int size, double *work );
static void init_iwork( lapack_int size, lapack_int *iwork );
static void init_ifailv( lapack_int size, lapack_int *ifailv );
static int compare_zstein( lapack_complex_double *z, lapack_complex_double *z_i,
                           lapack_int *ifailv, lapack_int *ifailv_i,
                           lapack_int info, lapack_int info_i, lapack_int ldz,
                           lapack_int m );

int main(void)
{
    /* Local scalars */
    lapack_int n, n_i;
    lapack_int m, m_i;
    lapack_int ldz, ldz_i;
    lapack_int ldz_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    double *d = NULL, *d_i = NULL;
    double *e = NULL, *e_i = NULL;
    double *w = NULL, *w_i = NULL;
    lapack_int *iblock = NULL, *iblock_i = NULL;
    lapack_int *isplit = NULL, *isplit_i = NULL;
    lapack_complex_double *z = NULL, *z_i = NULL;
    double *work = NULL, *work_i = NULL;
    lapack_int *iwork = NULL, *iwork_i = NULL;
    lapack_int *ifailv = NULL, *ifailv_i = NULL;
    lapack_complex_double *z_save = NULL;
    lapack_int *ifailv_save = NULL;
    lapack_complex_double *z_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zstein( &n, &m, &ldz );
    ldz_r = m+2;
    n_i = n;
    m_i = m;
    ldz_i = ldz;

    /* Allocate memory for the LAPACK routine arrays */
    d = (double *)LAPACKE_malloc( n * sizeof(double) );
    e = (double *)LAPACKE_malloc( n * sizeof(double) );
    w = (double *)LAPACKE_malloc( n * sizeof(double) );
    iblock = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    isplit = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    z = (lapack_complex_double *)
        LAPACKE_malloc( ldz*m * sizeof(lapack_complex_double) );
    work = (double *)LAPACKE_malloc( 5*n * sizeof(double) );
    iwork = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    ifailv = (lapack_int *)LAPACKE_malloc( m * sizeof(lapack_int) );

    /* Allocate memory for the C interface function arrays */
    d_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    e_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    w_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    iblock_i = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    isplit_i = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    z_i = (lapack_complex_double *)
        LAPACKE_malloc( ldz*m * sizeof(lapack_complex_double) );
    work_i = (double *)LAPACKE_malloc( 5*n * sizeof(double) );
    iwork_i = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    ifailv_i = (lapack_int *)LAPACKE_malloc( m * sizeof(lapack_int) );

    /* Allocate memory for the backup arrays */
    z_save = (lapack_complex_double *)
        LAPACKE_malloc( ldz*m * sizeof(lapack_complex_double) );
    ifailv_save = (lapack_int *)LAPACKE_malloc( m * sizeof(lapack_int) );

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

    /* Initialize input arrays */
    init_d( n, d );
    init_e( n, e );
    init_w( n, w );
    init_iblock( n, iblock );
    init_isplit( n, isplit );
    init_z( ldz*m, z );
    init_work( 5*n, work );
    init_iwork( n, iwork );
    init_ifailv( m, ifailv );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldz*m; i++ ) {
        z_save[i] = z[i];
    }
    for( i = 0; i < m; i++ ) {
        ifailv_save[i] = ifailv[i];
    }

    /* Call the LAPACK routine */
    zstein_( &n, d, e, &m, w, iblock, isplit, z, &ldz, work, iwork, ifailv,
             &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d[i];
    }
    for( i = 0; i < n; i++ ) {
        e_i[i] = e[i];
    }
    for( i = 0; i < n; i++ ) {
        w_i[i] = w[i];
    }
    for( i = 0; i < n; i++ ) {
        iblock_i[i] = iblock[i];
    }
    for( i = 0; i < n; i++ ) {
        isplit_i[i] = isplit[i];
    }
    for( i = 0; i < ldz*m; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < 5*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        iwork_i[i] = iwork[i];
    }
    for( i = 0; i < m; i++ ) {
        ifailv_i[i] = ifailv_save[i];
    }
    info_i = LAPACKE_zstein_work( LAPACK_COL_MAJOR, n_i, d_i, e_i, m_i, w_i,
                                  iblock_i, isplit_i, z_i, ldz_i, work_i,
                                  iwork_i, ifailv_i );

    failed = compare_zstein( z, z_i, ifailv, ifailv_i, info, info_i, ldz, m );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zstein\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zstein\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d[i];
    }
    for( i = 0; i < n; i++ ) {
        e_i[i] = e[i];
    }
    for( i = 0; i < n; i++ ) {
        w_i[i] = w[i];
    }
    for( i = 0; i < n; i++ ) {
        iblock_i[i] = iblock[i];
    }
    for( i = 0; i < n; i++ ) {
        isplit_i[i] = isplit[i];
    }
    for( i = 0; i < ldz*m; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < 5*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        iwork_i[i] = iwork[i];
    }
    for( i = 0; i < m; i++ ) {
        ifailv_i[i] = ifailv_save[i];
    }
    info_i = LAPACKE_zstein( LAPACK_COL_MAJOR, n_i, d_i, e_i, m_i, w_i,
                             iblock_i, isplit_i, z_i, ldz_i, ifailv_i );

    failed = compare_zstein( z, z_i, ifailv, ifailv_i, info, info_i, ldz, m );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zstein\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zstein\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d[i];
    }
    for( i = 0; i < n; i++ ) {
        e_i[i] = e[i];
    }
    for( i = 0; i < n; i++ ) {
        w_i[i] = w[i];
    }
    for( i = 0; i < n; i++ ) {
        iblock_i[i] = iblock[i];
    }
    for( i = 0; i < n; i++ ) {
        isplit_i[i] = isplit[i];
    }
    for( i = 0; i < ldz*m; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < 5*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        iwork_i[i] = iwork[i];
    }
    for( i = 0; i < m; i++ ) {
        ifailv_i[i] = ifailv_save[i];
    }

    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, m, z_i, ldz, z_r, m+2 );
    info_i = LAPACKE_zstein_work( LAPACK_ROW_MAJOR, n_i, d_i, e_i, m_i, w_i,
                                  iblock_i, isplit_i, z_r, ldz_r, work_i,
                                  iwork_i, ifailv_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, m, z_r, m+2, z_i, ldz );

    failed = compare_zstein( z, z_i, ifailv, ifailv_i, info, info_i, ldz, m );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zstein\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zstein\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d[i];
    }
    for( i = 0; i < n; i++ ) {
        e_i[i] = e[i];
    }
    for( i = 0; i < n; i++ ) {
        w_i[i] = w[i];
    }
    for( i = 0; i < n; i++ ) {
        iblock_i[i] = iblock[i];
    }
    for( i = 0; i < n; i++ ) {
        isplit_i[i] = isplit[i];
    }
    for( i = 0; i < ldz*m; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < 5*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        iwork_i[i] = iwork[i];
    }
    for( i = 0; i < m; i++ ) {
        ifailv_i[i] = ifailv_save[i];
    }

    /* Init row_major arrays */
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, m, z_i, ldz, z_r, m+2 );
    info_i = LAPACKE_zstein( LAPACK_ROW_MAJOR, n_i, d_i, e_i, m_i, w_i,
                             iblock_i, isplit_i, z_r, ldz_r, ifailv_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, m, z_r, m+2, z_i, ldz );

    failed = compare_zstein( z, z_i, ifailv, ifailv_i, info, info_i, ldz, m );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zstein\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zstein\n" );
    }

    /* Release memory */
    if( d != NULL ) {
        LAPACKE_free( d );
    }
    if( d_i != NULL ) {
        LAPACKE_free( d_i );
    }
    if( e != NULL ) {
        LAPACKE_free( e );
    }
    if( e_i != NULL ) {
        LAPACKE_free( e_i );
    }
    if( w != NULL ) {
        LAPACKE_free( w );
    }
    if( w_i != NULL ) {
        LAPACKE_free( w_i );
    }
    if( iblock != NULL ) {
        LAPACKE_free( iblock );
    }
    if( iblock_i != NULL ) {
        LAPACKE_free( iblock_i );
    }
    if( isplit != NULL ) {
        LAPACKE_free( isplit );
    }
    if( isplit_i != NULL ) {
        LAPACKE_free( isplit_i );
    }
    if( z != NULL ) {
        LAPACKE_free( z );
    }
    if( z_i != NULL ) {
        LAPACKE_free( z_i );
    }
    if( z_r != NULL ) {
        LAPACKE_free( z_r );
    }
    if( z_save != NULL ) {
        LAPACKE_free( z_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }
    if( iwork != NULL ) {
        LAPACKE_free( iwork );
    }
    if( iwork_i != NULL ) {
        LAPACKE_free( iwork_i );
    }
    if( ifailv != NULL ) {
        LAPACKE_free( ifailv );
    }
    if( ifailv_i != NULL ) {
        LAPACKE_free( ifailv_i );
    }
    if( ifailv_save != NULL ) {
        LAPACKE_free( ifailv_save );
    }

    return 0;
}

/* Auxiliary function: zstein scalar parameters initialization */
static void init_scalars_zstein( lapack_int *n, lapack_int *m, lapack_int *ldz )
{
    *n = 4;
    *m = 2;
    *ldz = 8;

    return;
}

/* Auxiliary functions: zstein array parameters initialization */
static void init_d( lapack_int size, double *d ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        d[i] = 0;
    }
    d[0] = -2.27999999999999980e+000;
    d[1] = -1.28456981649329280e-001;
    d[2] = -1.66593253752407190e-001;
    d[3] = -1.92494976459826360e+000;
}
static void init_e( lapack_int size, double *e ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        e[i] = 0;
    }
    e[0] = -4.33845594653212970e+000;
    e[1] = -2.02259457862261720e+000;
    e[2] = -1.80232297833873440e+000;
    e[3] = 0.00000000000000000e+000;
}
static void init_w( lapack_int size, double *w ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        w[i] = 0;
    }
    w[0] = -6.00018545434124210e+000;
    w[1] = -3.00303365078195660e+000;
    w[2] = 0.00000000000000000e+000;
    w[3] = 0.00000000000000000e+000;
}
static void init_iblock( lapack_int size, lapack_int *iblock ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        iblock[i] = 0;
    }
    iblock[0] = 1;
    iblock[1] = 1;
    iblock[2] = 0;
    iblock[3] = 0;
}
static void init_isplit( lapack_int size, lapack_int *isplit ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        isplit[i] = 0;
    }
    isplit[0] = 4;
    isplit[1] = 0;
    isplit[2] = 0;
    isplit[3] = 0;
}
static void init_z( lapack_int size, lapack_complex_double *z ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        z[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
}
static void init_work( lapack_int size, double *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = 0;
    }
}
static void init_iwork( lapack_int size, lapack_int *iwork ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        iwork[i] = 0;
    }
}
static void init_ifailv( lapack_int size, lapack_int *ifailv ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ifailv[i] = 0;
    }
}

/* Auxiliary function: C interface to zstein results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zstein( lapack_complex_double *z, lapack_complex_double *z_i,
                           lapack_int *ifailv, lapack_int *ifailv_i,
                           lapack_int info, lapack_int info_i, lapack_int ldz,
                           lapack_int m )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldz*m; i++ ) {
        failed += compare_complex_doubles(z[i],z_i[i]);
    }
    for( i = 0; i < m; i++ ) {
        failed += (ifailv[i] == ifailv_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;
}