ztrevc_2.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* ztrevc_2 is the test program for the C interface to LAPACK
* routine ztrevc
* 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_ztrevc( char *side, char *howmny, lapack_int *n,
                                 lapack_int *ldt, lapack_int *ldvl,
                                 lapack_int *ldvr, lapack_int *mm );
static void init_select( lapack_int size, lapack_int *select );
static void init_t( lapack_int size, lapack_complex_double *t );
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 int compare_ztrevc( lapack_complex_double *t, lapack_complex_double *t_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 info, lapack_int info_i,
                           lapack_int ldt, lapack_int ldvl, lapack_int ldvr,
                           lapack_int mm, lapack_int n, char side );

int main(void)
{
    /* Local scalars */
    char side, side_i;
    char howmny, howmny_i;
    lapack_int n, n_i;
    lapack_int ldt, ldt_i;
    lapack_int ldt_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 *t = NULL, *t_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_complex_double *t_save = NULL;
    lapack_complex_double *vl_save = NULL;
    lapack_complex_double *vr_save = NULL;
    lapack_complex_double *t_r = NULL;
    lapack_complex_double *vl_r = NULL;
    lapack_complex_double *vr_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_ztrevc( &side, &howmny, &n, &ldt, &ldvl, &ldvr, &mm );
    ldt_r = n+2;
    ldvl_r = mm+2;
    ldvr_r = mm+2;
    side_i = side;
    howmny_i = howmny;
    n_i = n;
    ldt_i = ldt;
    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) );
    t = (lapack_complex_double *)
        LAPACKE_malloc( ldt*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( 2*n * sizeof(lapack_complex_double) );
    rwork = (double *)LAPACKE_malloc( n * sizeof(double) );

    /* Allocate memory for the C interface function arrays */
    select_i = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    t_i = (lapack_complex_double *)
        LAPACKE_malloc( ldt*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( 2*n * sizeof(lapack_complex_double) );
    rwork_i = (double *)LAPACKE_malloc( n * sizeof(double) );

    /* Allocate memory for the backup arrays */
    t_save = (lapack_complex_double *)
        LAPACKE_malloc( ldt*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) );

    /* Allocate memory for the row-major arrays */
    t_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_t( ldt*n, t );
    init_vl( ldvl*mm, vl );
    init_vr( ldvr*mm, vr );
    init_work( 2*n, work );
    init_rwork( n, rwork );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldt*n; i++ ) {
        t_save[i] = t[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];
    }

    /* Call the LAPACK routine */
    ztrevc_( &side, &howmny, select, &n, t, &ldt, vl, &ldvl, vr, &ldvr, &mm, &m,
             work, rwork, &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 < ldt*n; i++ ) {
        t_i[i] = t_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 < 2*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }
    info_i = LAPACKE_ztrevc_work( LAPACK_COL_MAJOR, side_i, howmny_i, select_i,
                                  n_i, t_i, ldt_i, vl_i, ldvl_i, vr_i, ldvr_i,
                                  mm_i, &m_i, work_i, rwork_i );

    failed = compare_ztrevc( t, t_i, vl, vl_i, vr, vr_i, m, m_i, info, info_i,
                             ldt, ldvl, ldvr, mm, n, side );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to ztrevc\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to ztrevc\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 < ldt*n; i++ ) {
        t_i[i] = t_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 < 2*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }
    info_i = LAPACKE_ztrevc( LAPACK_COL_MAJOR, side_i, howmny_i, select_i, n_i,
                             t_i, ldt_i, vl_i, ldvl_i, vr_i, ldvr_i, mm_i,
                             &m_i );

    failed = compare_ztrevc( t, t_i, vl, vl_i, vr, vr_i, m, m_i, info, info_i,
                             ldt, ldvl, ldvr, mm, n, side );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to ztrevc\n" );
    } else {
        printf( "FAILED: column-major high-level interface to ztrevc\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 < ldt*n; i++ ) {
        t_i[i] = t_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 < 2*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }

    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, t_i, ldt, t_r, n+2 );
    if( LAPACKE_lsame( side, 'b' ) || LAPACKE_lsame( side, 'l' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, mm, vl_i, ldvl, vl_r, mm+2 );
    }
    if( LAPACKE_lsame( side, 'b' ) || LAPACKE_lsame( side, 'r' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, mm, vr_i, ldvr, vr_r, mm+2 );
    }
    info_i = LAPACKE_ztrevc_work( LAPACK_ROW_MAJOR, side_i, howmny_i, select_i,
                                  n_i, t_r, ldt_r, vl_r, ldvl_r, vr_r, ldvr_r,
                                  mm_i, &m_i, work_i, rwork_i );

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

    failed = compare_ztrevc( t, t_i, vl, vl_i, vr, vr_i, m, m_i, info, info_i,
                             ldt, ldvl, ldvr, mm, n, side );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to ztrevc\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to ztrevc\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 < ldt*n; i++ ) {
        t_i[i] = t_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 < 2*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }

    /* Init row_major arrays */
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, t_i, ldt, t_r, n+2 );
    if( LAPACKE_lsame( side, 'b' ) || LAPACKE_lsame( side, 'l' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, mm, vl_i, ldvl, vl_r, mm+2 );
    }
    if( LAPACKE_lsame( side, 'b' ) || LAPACKE_lsame( side, 'r' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, mm, vr_i, ldvr, vr_r, mm+2 );
    }
    info_i = LAPACKE_ztrevc( LAPACK_ROW_MAJOR, side_i, howmny_i, select_i, n_i,
                             t_r, ldt_r, vl_r, ldvl_r, vr_r, ldvr_r, mm_i,
                             &m_i );

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

    failed = compare_ztrevc( t, t_i, vl, vl_i, vr, vr_i, m, m_i, info, info_i,
                             ldt, ldvl, ldvr, mm, n, side );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to ztrevc\n" );
    } else {
        printf( "FAILED: row-major high-level interface to ztrevc\n" );
    }

    /* Release memory */
    if( select != NULL ) {
        LAPACKE_free( select );
    }
    if( select_i != NULL ) {
        LAPACKE_free( select_i );
    }
    if( t != NULL ) {
        LAPACKE_free( t );
    }
    if( t_i != NULL ) {
        LAPACKE_free( t_i );
    }
    if( t_r != NULL ) {
        LAPACKE_free( t_r );
    }
    if( t_save != NULL ) {
        LAPACKE_free( t_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 );
    }

    return 0;
}

/* Auxiliary function: ztrevc scalar parameters initialization */
static void init_scalars_ztrevc( char *side, char *howmny, lapack_int *n,
                                 lapack_int *ldt, lapack_int *ldvl,
                                 lapack_int *ldvr, lapack_int *mm )
{
    *side = 'B';
    *howmny = 'A';
    *n = 4;
    *ldt = 8;
    *ldvl = 8;
    *ldvr = 8;
    *mm = 4;

    return;
}

/* Auxiliary functions: ztrevc 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] = 0;
    select[1] = 0;
    select[2] = 0;
    select[3] = 0;
}
static void init_t( lapack_int size, lapack_complex_double *t ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        t[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    t[0] = lapack_make_complex_double( -6.00040000000000000e+000,
                                       -6.99990000000000020e+000 );
    t[8] = lapack_make_complex_double( 3.63700000000000020e-001,
                                       -3.65599999999999980e-001 );
    t[16] = lapack_make_complex_double( -1.88000000000000000e-001,
                                        4.78700000000000010e-001 );
    t[24] = lapack_make_complex_double( 8.78499999999999950e-001,
                                        -2.53900000000000010e-001 );
    t[1] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    t[9] = lapack_make_complex_double( -5.00000000000000000e+000,
                                       2.00599999999999980e+000 );
    t[17] = lapack_make_complex_double( -3.07000000000000020e-002,
                                        -7.21700000000000010e-001 );
    t[25] = lapack_make_complex_double( -2.29000000000000010e-001,
                                        1.31300000000000000e-001 );
    t[2] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    t[10] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    t[18] = lapack_make_complex_double( 7.99819999999999980e+000,
                                        -9.96399999999999950e-001 );
    t[26] = lapack_make_complex_double( 9.35699999999999980e-001,
                                        5.35900000000000040e-001 );
    t[3] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    t[11] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    t[19] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    t[27] = lapack_make_complex_double( 3.00230000000000000e+000,
                                        -3.99980000000000000e+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;
    }
}

/* Auxiliary function: C interface to ztrevc results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_ztrevc( lapack_complex_double *t, lapack_complex_double *t_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 info, lapack_int info_i,
                           lapack_int ldt, lapack_int ldvl, lapack_int ldvr,
                           lapack_int mm, lapack_int n, char side )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldt*n; i++ ) {
        failed += compare_complex_doubles(t[i],t_i[i]);
    }
    if( LAPACKE_lsame( side, 'b' ) || LAPACKE_lsame( side, 'l' ) ) {
        for( i = 0; i < ldvl*mm; i++ ) {
            failed += compare_complex_doubles(vl[i],vl_i[i]);
        }
    }
    if( LAPACKE_lsame( side, 'b' ) || LAPACKE_lsame( side, 'r' ) ) {
        for( i = 0; i < ldvr*mm; i++ ) {
            failed += compare_complex_doubles(vr[i],vr_i[i]);
        }
    }
    failed += (m == m_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;
}