zhsein_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zhsein_1 is the test program for the C interface to LAPACK
* routine zhsein
* 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_zhsein( char *job, char *eigsrc, char *initv,
                                 lapack_int *n, lapack_int *ldh,
                                 lapack_int *ldvl, lapack_int *ldvr,
                                 lapack_int *mm );
static void init_select( lapack_int size, lapack_int *select );
static void init_h( lapack_int size, lapack_complex_double *h );
static void init_w( lapack_int size, lapack_complex_double *w );
static void init_vl( lapack_int size, lapack_complex_double *vl );
static void init_vr( lapack_int size, lapack_complex_double *vr );
static void init_work( lapack_int size, lapack_complex_double *work );
static void init_rwork( lapack_int size, double *rwork );
static void init_ifaill( lapack_int size, lapack_int *ifaill );
static void init_ifailr( lapack_int size, lapack_int *ifailr );
static int compare_zhsein( lapack_complex_double *w, lapack_complex_double *w_i,
                           lapack_complex_double *vl,
                           lapack_complex_double *vl_i,
                           lapack_complex_double *vr,
                           lapack_complex_double *vr_i, lapack_int m,
                           lapack_int m_i, lapack_int *ifaill,
                           lapack_int *ifaill_i, lapack_int *ifailr,
                           lapack_int *ifailr_i, lapack_int info,
                           lapack_int info_i, char job, lapack_int ldvl,
                           lapack_int ldvr, lapack_int mm, lapack_int n );

int main(void)
{
    /* Local scalars */
    char job, job_i;
    char eigsrc, eigsrc_i;
    char initv, initv_i;
    lapack_int n, n_i;
    lapack_int ldh, ldh_i;
    lapack_int ldh_r;
    lapack_int ldvl, ldvl_i;
    lapack_int ldvl_r;
    lapack_int ldvr, ldvr_i;
    lapack_int ldvr_r;
    lapack_int mm, mm_i;
    lapack_int m, m_i;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_int *select = NULL, *select_i = NULL;
    lapack_complex_double *h = NULL, *h_i = NULL;
    lapack_complex_double *w = NULL, *w_i = NULL;
    lapack_complex_double *vl = NULL, *vl_i = NULL;
    lapack_complex_double *vr = NULL, *vr_i = NULL;
    lapack_complex_double *work = NULL, *work_i = NULL;
    double *rwork = NULL, *rwork_i = NULL;
    lapack_int *ifaill = NULL, *ifaill_i = NULL;
    lapack_int *ifailr = NULL, *ifailr_i = NULL;
    lapack_complex_double *w_save = NULL;
    lapack_complex_double *vl_save = NULL;
    lapack_complex_double *vr_save = NULL;
    lapack_int *ifaill_save = NULL;
    lapack_int *ifailr_save = NULL;
    lapack_complex_double *h_r = NULL;
    lapack_complex_double *vl_r = NULL;
    lapack_complex_double *vr_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zhsein( &job, &eigsrc, &initv, &n, &ldh, &ldvl, &ldvr, &mm );
    ldh_r = n+2;
    ldvl_r = mm+2;
    ldvr_r = mm+2;
    job_i = job;
    eigsrc_i = eigsrc;
    initv_i = initv;
    n_i = n;
    ldh_i = ldh;
    ldvl_i = ldvl;
    ldvr_i = ldvr;
    mm_i = mm;

    /* Allocate memory for the LAPACK routine arrays */
    select = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    h = (lapack_complex_double *)
        LAPACKE_malloc( ldh*n * sizeof(lapack_complex_double) );
    w = (lapack_complex_double *)
        LAPACKE_malloc( n * sizeof(lapack_complex_double) );
    vl = (lapack_complex_double *)
        LAPACKE_malloc( ldvl*mm * sizeof(lapack_complex_double) );
    vr = (lapack_complex_double *)
        LAPACKE_malloc( ldvr*mm * sizeof(lapack_complex_double) );
    work = (lapack_complex_double *)
        LAPACKE_malloc( n*n * sizeof(lapack_complex_double) );
    rwork = (double *)LAPACKE_malloc( n * sizeof(double) );
    ifaill = (lapack_int *)LAPACKE_malloc( mm * sizeof(lapack_int) );
    ifailr = (lapack_int *)LAPACKE_malloc( mm * sizeof(lapack_int) );

    /* Allocate memory for the C interface function arrays */
    select_i = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    h_i = (lapack_complex_double *)
        LAPACKE_malloc( ldh*n * sizeof(lapack_complex_double) );
    w_i = (lapack_complex_double *)
        LAPACKE_malloc( n * sizeof(lapack_complex_double) );
    vl_i = (lapack_complex_double *)
        LAPACKE_malloc( ldvl*mm * sizeof(lapack_complex_double) );
    vr_i = (lapack_complex_double *)
        LAPACKE_malloc( ldvr*mm * sizeof(lapack_complex_double) );
    work_i = (lapack_complex_double *)
        LAPACKE_malloc( n*n * sizeof(lapack_complex_double) );
    rwork_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    ifaill_i = (lapack_int *)LAPACKE_malloc( mm * sizeof(lapack_int) );
    ifailr_i = (lapack_int *)LAPACKE_malloc( mm * sizeof(lapack_int) );

    /* Allocate memory for the backup arrays */
    w_save = (lapack_complex_double *)
        LAPACKE_malloc( n * sizeof(lapack_complex_double) );
    vl_save = (lapack_complex_double *)
        LAPACKE_malloc( ldvl*mm * sizeof(lapack_complex_double) );
    vr_save = (lapack_complex_double *)
        LAPACKE_malloc( ldvr*mm * sizeof(lapack_complex_double) );
    ifaill_save = (lapack_int *)LAPACKE_malloc( mm * sizeof(lapack_int) );
    ifailr_save = (lapack_int *)LAPACKE_malloc( mm * sizeof(lapack_int) );

    /* Allocate memory for the row-major arrays */
    h_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(n+2) * sizeof(lapack_complex_double) );
    vl_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(mm+2) * sizeof(lapack_complex_double) );
    vr_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(mm+2) * sizeof(lapack_complex_double) );

    /* Initialize input arrays */
    init_select( n, select );
    init_h( ldh*n, h );
    init_w( n, w );
    init_vl( ldvl*mm, vl );
    init_vr( ldvr*mm, vr );
    init_work( n*n, work );
    init_rwork( n, rwork );
    init_ifaill( mm, ifaill );
    init_ifailr( mm, ifailr );

    /* Backup the ouptut arrays */
    for( i = 0; i < n; i++ ) {
        w_save[i] = w[i];
    }
    for( i = 0; i < ldvl*mm; i++ ) {
        vl_save[i] = vl[i];
    }
    for( i = 0; i < ldvr*mm; i++ ) {
        vr_save[i] = vr[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifaill_save[i] = ifaill[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifailr_save[i] = ifailr[i];
    }

    /* Call the LAPACK routine */
    zhsein_( &job, &eigsrc, &initv, select, &n, h, &ldh, w, vl, &ldvl, vr,
             &ldvr, &mm, &m, work, rwork, ifaill, ifailr, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        select_i[i] = select[i];
    }
    for( i = 0; i < ldh*n; i++ ) {
        h_i[i] = h[i];
    }
    for( i = 0; i < n; i++ ) {
        w_i[i] = w_save[i];
    }
    for( i = 0; i < ldvl*mm; i++ ) {
        vl_i[i] = vl_save[i];
    }
    for( i = 0; i < ldvr*mm; i++ ) {
        vr_i[i] = vr_save[i];
    }
    for( i = 0; i < n*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifaill_i[i] = ifaill_save[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifailr_i[i] = ifailr_save[i];
    }
    info_i = LAPACKE_zhsein_work( LAPACK_COL_MAJOR, job_i, eigsrc_i, initv_i,
                                  select_i, n_i, h_i, ldh_i, w_i, vl_i, ldvl_i,
                                  vr_i, ldvr_i, mm_i, &m_i, work_i, rwork_i,
                                  ifaill_i, ifailr_i );

    failed = compare_zhsein( w, w_i, vl, vl_i, vr, vr_i, m, m_i, ifaill,
                             ifaill_i, ifailr, ifailr_i, info, info_i, job,
                             ldvl, ldvr, mm, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zhsein\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zhsein\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        select_i[i] = select[i];
    }
    for( i = 0; i < ldh*n; i++ ) {
        h_i[i] = h[i];
    }
    for( i = 0; i < n; i++ ) {
        w_i[i] = w_save[i];
    }
    for( i = 0; i < ldvl*mm; i++ ) {
        vl_i[i] = vl_save[i];
    }
    for( i = 0; i < ldvr*mm; i++ ) {
        vr_i[i] = vr_save[i];
    }
    for( i = 0; i < n*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifaill_i[i] = ifaill_save[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifailr_i[i] = ifailr_save[i];
    }
    info_i = LAPACKE_zhsein( LAPACK_COL_MAJOR, job_i, eigsrc_i, initv_i,
                             select_i, n_i, h_i, ldh_i, w_i, vl_i, ldvl_i, vr_i,
                             ldvr_i, mm_i, &m_i, ifaill_i, ifailr_i );

    failed = compare_zhsein( w, w_i, vl, vl_i, vr, vr_i, m, m_i, ifaill,
                             ifaill_i, ifailr, ifailr_i, info, info_i, job,
                             ldvl, ldvr, mm, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zhsein\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zhsein\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        select_i[i] = select[i];
    }
    for( i = 0; i < ldh*n; i++ ) {
        h_i[i] = h[i];
    }
    for( i = 0; i < n; i++ ) {
        w_i[i] = w_save[i];
    }
    for( i = 0; i < ldvl*mm; i++ ) {
        vl_i[i] = vl_save[i];
    }
    for( i = 0; i < ldvr*mm; i++ ) {
        vr_i[i] = vr_save[i];
    }
    for( i = 0; i < n*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifaill_i[i] = ifaill_save[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifailr_i[i] = ifailr_save[i];
    }

    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, h_i, ldh, h_r, n+2 );
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'l' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, mm, vl_i, ldvl, vl_r, mm+2 );
    }
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'r' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, mm, vr_i, ldvr, vr_r, mm+2 );
    }
    info_i = LAPACKE_zhsein_work( LAPACK_ROW_MAJOR, job_i, eigsrc_i, initv_i,
                                  select_i, n_i, h_r, ldh_r, w_i, vl_r, ldvl_r,
                                  vr_r, ldvr_r, mm_i, &m_i, work_i, rwork_i,
                                  ifaill_i, ifailr_i );

    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'l' ) ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, mm, vl_r, mm+2, vl_i, ldvl );
    }
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'r' ) ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, mm, vr_r, mm+2, vr_i, ldvr );
    }

    failed = compare_zhsein( w, w_i, vl, vl_i, vr, vr_i, m, m_i, ifaill,
                             ifaill_i, ifailr, ifailr_i, info, info_i, job,
                             ldvl, ldvr, mm, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zhsein\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zhsein\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        select_i[i] = select[i];
    }
    for( i = 0; i < ldh*n; i++ ) {
        h_i[i] = h[i];
    }
    for( i = 0; i < n; i++ ) {
        w_i[i] = w_save[i];
    }
    for( i = 0; i < ldvl*mm; i++ ) {
        vl_i[i] = vl_save[i];
    }
    for( i = 0; i < ldvr*mm; i++ ) {
        vr_i[i] = vr_save[i];
    }
    for( i = 0; i < n*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifaill_i[i] = ifaill_save[i];
    }
    for( i = 0; i < mm; i++ ) {
        ifailr_i[i] = ifailr_save[i];
    }

    /* Init row_major arrays */
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, h_i, ldh, h_r, n+2 );
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'l' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, mm, vl_i, ldvl, vl_r, mm+2 );
    }
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'r' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, mm, vr_i, ldvr, vr_r, mm+2 );
    }
    info_i = LAPACKE_zhsein( LAPACK_ROW_MAJOR, job_i, eigsrc_i, initv_i,
                             select_i, n_i, h_r, ldh_r, w_i, vl_r, ldvl_r, vr_r,
                             ldvr_r, mm_i, &m_i, ifaill_i, ifailr_i );

    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'l' ) ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, mm, vl_r, mm+2, vl_i, ldvl );
    }
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'r' ) ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, mm, vr_r, mm+2, vr_i, ldvr );
    }

    failed = compare_zhsein( w, w_i, vl, vl_i, vr, vr_i, m, m_i, ifaill,
                             ifaill_i, ifailr, ifailr_i, info, info_i, job,
                             ldvl, ldvr, mm, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zhsein\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zhsein\n" );
    }

    /* Release memory */
    if( select != NULL ) {
        LAPACKE_free( select );
    }
    if( select_i != NULL ) {
        LAPACKE_free( select_i );
    }
    if( h != NULL ) {
        LAPACKE_free( h );
    }
    if( h_i != NULL ) {
        LAPACKE_free( h_i );
    }
    if( h_r != NULL ) {
        LAPACKE_free( h_r );
    }
    if( w != NULL ) {
        LAPACKE_free( w );
    }
    if( w_i != NULL ) {
        LAPACKE_free( w_i );
    }
    if( w_save != NULL ) {
        LAPACKE_free( w_save );
    }
    if( vl != NULL ) {
        LAPACKE_free( vl );
    }
    if( vl_i != NULL ) {
        LAPACKE_free( vl_i );
    }
    if( vl_r != NULL ) {
        LAPACKE_free( vl_r );
    }
    if( vl_save != NULL ) {
        LAPACKE_free( vl_save );
    }
    if( vr != NULL ) {
        LAPACKE_free( vr );
    }
    if( vr_i != NULL ) {
        LAPACKE_free( vr_i );
    }
    if( vr_r != NULL ) {
        LAPACKE_free( vr_r );
    }
    if( vr_save != NULL ) {
        LAPACKE_free( vr_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }
    if( rwork != NULL ) {
        LAPACKE_free( rwork );
    }
    if( rwork_i != NULL ) {
        LAPACKE_free( rwork_i );
    }
    if( ifaill != NULL ) {
        LAPACKE_free( ifaill );
    }
    if( ifaill_i != NULL ) {
        LAPACKE_free( ifaill_i );
    }
    if( ifaill_save != NULL ) {
        LAPACKE_free( ifaill_save );
    }
    if( ifailr != NULL ) {
        LAPACKE_free( ifailr );
    }
    if( ifailr_i != NULL ) {
        LAPACKE_free( ifailr_i );
    }
    if( ifailr_save != NULL ) {
        LAPACKE_free( ifailr_save );
    }

    return 0;
}

/* Auxiliary function: zhsein scalar parameters initialization */
static void init_scalars_zhsein( char *job, char *eigsrc, char *initv,
                                 lapack_int *n, lapack_int *ldh,
                                 lapack_int *ldvl, lapack_int *ldvr,
                                 lapack_int *mm )
{
    *job = 'R';
    *eigsrc = 'Q';
    *initv = 'N';
    *n = 4;
    *ldh = 8;
    *ldvl = 8;
    *ldvr = 8;
    *mm = 4;

    return;
}

/* Auxiliary functions: zhsein array parameters initialization */
static void init_select( lapack_int size, lapack_int *select ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        select[i] = 0;
    }
    select[0] = -1;
    select[1] = -1;
    select[2] = 0;
    select[3] = 0;
}
static void init_h( lapack_int size, lapack_complex_double *h ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        h[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    h[0] = lapack_make_complex_double( -3.97000000000000020e+000,
                                       -5.04000000000000000e+000 );
    h[8] = lapack_make_complex_double( -1.13180518733977030e+000,
                                       -2.56930489882743900e+000 );
    h[16] = lapack_make_complex_double( -4.60274243753355350e+000,
                                        -1.42631904083292180e-001 );
    h[24] = lapack_make_complex_double( -1.42491228936652710e+000,
                                        1.73298370334218620e+000 );
    h[1] = lapack_make_complex_double( -5.47965327370263560e+000,
                                       0.00000000000000000e+000 );
    h[9] = lapack_make_complex_double( 1.85847282076558700e+000,
                                       -1.55018070644028950e+000 );
    h[17] = lapack_make_complex_double( 4.41446552691701300e+000,
                                        -7.63823711555098320e-001 );
    h[25] = lapack_make_complex_double( -4.80526133699015420e-001,
                                        -1.19759999733274710e+000 );
    h[2] = lapack_make_complex_double( 6.93222211814628180e-001,
                                       -4.82875276260254950e-001 );
    h[10] = lapack_make_complex_double( 6.26727681806422240e+000,
                                        0.00000000000000000e+000 );
    h[18] = lapack_make_complex_double( -4.50380940334500930e-001,
                                        -2.89818325981801020e-002 );
    h[26] = lapack_make_complex_double( -1.34668445007873290e+000,
                                        1.65792489538873020e+000 );
    h[3] = lapack_make_complex_double( -2.11294690792069330e-001,
                                       8.64412259893682090e-002 );
    h[11] = lapack_make_complex_double( 1.24214618876649560e-001,
                                        -2.28927604979682810e-001 );
    h[19] = lapack_make_complex_double( -3.49998583739325890e+000,
                                        0.00000000000000000e+000 );
    h[27] = lapack_make_complex_double( 2.56190811956891370e+000,
                                        -3.37083746096152880e+000 );
}
static void init_w( lapack_int size, lapack_complex_double *w ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        w[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    w[0] = lapack_make_complex_double( -6.00042534294925110e+000,
                                       -6.99984337157039070e+000 );
    w[1] = lapack_make_complex_double( -5.00003345759696490e+000,
                                       2.00602716231651220e+000 );
    w[2] = lapack_make_complex_double( 7.99819451620824480e+000,
                                       -9.96365091392899080e-001 );
    w[3] = lapack_make_complex_double( 3.00226428433797170e+000,
                                       -3.99981869935322360e+000 );
}
static void init_vl( lapack_int size, lapack_complex_double *vl ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        vl[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    vl[0] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vl[8] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vl[16] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vl[24] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vl[1] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vl[9] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vl[17] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vl[25] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vl[2] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vl[10] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vl[18] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vl[26] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vl[3] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vl[11] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vl[19] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vl[27] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
}
static void init_vr( lapack_int size, lapack_complex_double *vr ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        vr[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    vr[0] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vr[8] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vr[16] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vr[24] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vr[1] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vr[9] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vr[17] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vr[25] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vr[2] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vr[10] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vr[18] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vr[26] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vr[3] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vr[11] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vr[19] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vr[27] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
}
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 );
    }
}
static void init_rwork( lapack_int size, double *rwork ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        rwork[i] = 0;
    }
}
static void init_ifaill( lapack_int size, lapack_int *ifaill ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ifaill[i] = 0;
    }
}
static void init_ifailr( lapack_int size, lapack_int *ifailr ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ifailr[i] = 0;
    }
}

/* Auxiliary function: C interface to zhsein results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zhsein( lapack_complex_double *w, lapack_complex_double *w_i,
                           lapack_complex_double *vl,
                           lapack_complex_double *vl_i,
                           lapack_complex_double *vr,
                           lapack_complex_double *vr_i, lapack_int m,
                           lapack_int m_i, lapack_int *ifaill,
                           lapack_int *ifaill_i, lapack_int *ifailr,
                           lapack_int *ifailr_i, lapack_int info,
                           lapack_int info_i, char job, lapack_int ldvl,
                           lapack_int ldvr, lapack_int mm, lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < n; i++ ) {
        failed += compare_complex_doubles(w[i],w_i[i]);
    }
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'l' ) ) {
        for( i = 0; i < ldvl*mm; i++ ) {
            failed += compare_complex_doubles(vl[i],vl_i[i]);
        }
    }
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'r' ) ) {
        for( i = 0; i < ldvr*mm; i++ ) {
            failed += compare_complex_doubles(vr[i],vr_i[i]);
        }
    }
    failed += (m == m_i) ? 0 : 1;
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'l' ) ) {
        for( i = 0; i < mm; i++ ) {
            failed += (ifaill[i] == ifaill_i[i]) ? 0 : 1;
        }
    }
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'r' ) ) {
        for( i = 0; i < mm; i++ ) {
            failed += (ifailr[i] == ifailr_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;
}