zsprfs_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zsprfs_1 is the test program for the C interface to LAPACK
* routine zsprfs
* 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_zsprfs( char *uplo, lapack_int *n, lapack_int *nrhs,
                                 lapack_int *ldb, lapack_int *ldx );
static void init_ap( lapack_int size, lapack_complex_double *ap );
static void init_afp( lapack_int size, lapack_complex_double *afp );
static void init_ipiv( lapack_int size, lapack_int *ipiv );
static void init_b( lapack_int size, lapack_complex_double *b );
static void init_x( lapack_int size, lapack_complex_double *x );
static void init_ferr( lapack_int size, double *ferr );
static void init_berr( lapack_int size, double *berr );
static void init_work( lapack_int size, lapack_complex_double *work );
static void init_rwork( lapack_int size, double *rwork );
static int compare_zsprfs( lapack_complex_double *x, lapack_complex_double *x_i,
                           double *ferr, double *ferr_i, double *berr,
                           double *berr_i, lapack_int info, lapack_int info_i,
                           lapack_int ldx, lapack_int nrhs );

int main(void)
{
    /* Local scalars */
    char uplo, uplo_i;
    lapack_int n, n_i;
    lapack_int nrhs, nrhs_i;
    lapack_int ldb, ldb_i;
    lapack_int ldb_r;
    lapack_int ldx, ldx_i;
    lapack_int ldx_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_complex_double *ap = NULL, *ap_i = NULL;
    lapack_complex_double *afp = NULL, *afp_i = NULL;
    lapack_int *ipiv = NULL, *ipiv_i = NULL;
    lapack_complex_double *b = NULL, *b_i = NULL;
    lapack_complex_double *x = NULL, *x_i = NULL;
    double *ferr = NULL, *ferr_i = NULL;
    double *berr = NULL, *berr_i = NULL;
    lapack_complex_double *work = NULL, *work_i = NULL;
    double *rwork = NULL, *rwork_i = NULL;
    lapack_complex_double *x_save = NULL;
    double *ferr_save = NULL;
    double *berr_save = NULL;
    lapack_complex_double *ap_r = NULL;
    lapack_complex_double *afp_r = NULL;
    lapack_complex_double *b_r = NULL;
    lapack_complex_double *x_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zsprfs( &uplo, &n, &nrhs, &ldb, &ldx );
    ldb_r = nrhs+2;
    ldx_r = nrhs+2;
    uplo_i = uplo;
    n_i = n;
    nrhs_i = nrhs;
    ldb_i = ldb;
    ldx_i = ldx;

    /* Allocate memory for the LAPACK routine arrays */
    ap = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    afp = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    ipiv = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    b = (lapack_complex_double *)
        LAPACKE_malloc( ldb*nrhs * sizeof(lapack_complex_double) );
    x = (lapack_complex_double *)
        LAPACKE_malloc( ldx*nrhs * sizeof(lapack_complex_double) );
    ferr = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
    berr = (double *)LAPACKE_malloc( nrhs * sizeof(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 */
    ap_i = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    afp_i = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    ipiv_i = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    b_i = (lapack_complex_double *)
        LAPACKE_malloc( ldb*nrhs * sizeof(lapack_complex_double) );
    x_i = (lapack_complex_double *)
        LAPACKE_malloc( ldx*nrhs * sizeof(lapack_complex_double) );
    ferr_i = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
    berr_i = (double *)LAPACKE_malloc( nrhs * sizeof(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 */
    x_save = (lapack_complex_double *)
        LAPACKE_malloc( ldx*nrhs * sizeof(lapack_complex_double) );
    ferr_save = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
    berr_save = (double *)LAPACKE_malloc( nrhs * sizeof(double) );

    /* Allocate memory for the row-major arrays */
    ap_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(n+1)/2 * sizeof(lapack_complex_double) );
    afp_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(n+1)/2 * sizeof(lapack_complex_double) );
    b_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(nrhs+2) * sizeof(lapack_complex_double) );
    x_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(nrhs+2) * sizeof(lapack_complex_double) );

    /* Initialize input arrays */
    init_ap( (n*(n+1)/2), ap );
    init_afp( (n*(n+1)/2), afp );
    init_ipiv( n, ipiv );
    init_b( ldb*nrhs, b );
    init_x( ldx*nrhs, x );
    init_ferr( nrhs, ferr );
    init_berr( nrhs, berr );
    init_work( 2*n, work );
    init_rwork( n, rwork );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_save[i] = x[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_save[i] = ferr[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_save[i] = berr[i];
    }

    /* Call the LAPACK routine */
    zsprfs_( &uplo, &n, &nrhs, ap, afp, ipiv, b, &ldb, x, &ldx, ferr, berr,
             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*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        afp_i[i] = afp[i];
    }
    for( i = 0; i < n; i++ ) {
        ipiv_i[i] = ipiv[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_i[i] = x_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_i[i] = ferr_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_i[i] = berr_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_zsprfs_work( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, ap_i,
                                  afp_i, ipiv_i, b_i, ldb_i, x_i, ldx_i, ferr_i,
                                  berr_i, work_i, rwork_i );

    failed = compare_zsprfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
                             ldx, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zsprfs\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zsprfs\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        afp_i[i] = afp[i];
    }
    for( i = 0; i < n; i++ ) {
        ipiv_i[i] = ipiv[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_i[i] = x_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_i[i] = ferr_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_i[i] = berr_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_zsprfs( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, ap_i, afp_i,
                             ipiv_i, b_i, ldb_i, x_i, ldx_i, ferr_i, berr_i );

    failed = compare_zsprfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
                             ldx, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zsprfs\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zsprfs\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        afp_i[i] = afp[i];
    }
    for( i = 0; i < n; i++ ) {
        ipiv_i[i] = ipiv[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_i[i] = x_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_i[i] = ferr_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_i[i] = berr_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_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_zpp_trans( LAPACK_COL_MAJOR, uplo, n, afp_i, afp_r );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, x_i, ldx, x_r, nrhs+2 );
    info_i = LAPACKE_zsprfs_work( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, ap_r,
                                  afp_r, ipiv_i, b_r, ldb_r, x_r, ldx_r, ferr_i,
                                  berr_i, work_i, rwork_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, nrhs, x_r, nrhs+2, x_i, ldx );

    failed = compare_zsprfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
                             ldx, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zsprfs\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zsprfs\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        afp_i[i] = afp[i];
    }
    for( i = 0; i < n; i++ ) {
        ipiv_i[i] = ipiv[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_i[i] = x_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_i[i] = ferr_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_i[i] = berr_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_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_zpp_trans( LAPACK_COL_MAJOR, uplo, n, afp_i, afp_r );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, x_i, ldx, x_r, nrhs+2 );
    info_i = LAPACKE_zsprfs( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, ap_r, afp_r,
                             ipiv_i, b_r, ldb_r, x_r, ldx_r, ferr_i, berr_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, nrhs, x_r, nrhs+2, x_i, ldx );

    failed = compare_zsprfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
                             ldx, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zsprfs\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zsprfs\n" );
    }

    /* Release memory */
    if( ap != NULL ) {
        LAPACKE_free( ap );
    }
    if( ap_i != NULL ) {
        LAPACKE_free( ap_i );
    }
    if( ap_r != NULL ) {
        LAPACKE_free( ap_r );
    }
    if( afp != NULL ) {
        LAPACKE_free( afp );
    }
    if( afp_i != NULL ) {
        LAPACKE_free( afp_i );
    }
    if( afp_r != NULL ) {
        LAPACKE_free( afp_r );
    }
    if( ipiv != NULL ) {
        LAPACKE_free( ipiv );
    }
    if( ipiv_i != NULL ) {
        LAPACKE_free( ipiv_i );
    }
    if( b != NULL ) {
        LAPACKE_free( b );
    }
    if( b_i != NULL ) {
        LAPACKE_free( b_i );
    }
    if( b_r != NULL ) {
        LAPACKE_free( b_r );
    }
    if( x != NULL ) {
        LAPACKE_free( x );
    }
    if( x_i != NULL ) {
        LAPACKE_free( x_i );
    }
    if( x_r != NULL ) {
        LAPACKE_free( x_r );
    }
    if( x_save != NULL ) {
        LAPACKE_free( x_save );
    }
    if( ferr != NULL ) {
        LAPACKE_free( ferr );
    }
    if( ferr_i != NULL ) {
        LAPACKE_free( ferr_i );
    }
    if( ferr_save != NULL ) {
        LAPACKE_free( ferr_save );
    }
    if( berr != NULL ) {
        LAPACKE_free( berr );
    }
    if( berr_i != NULL ) {
        LAPACKE_free( berr_i );
    }
    if( berr_save != NULL ) {
        LAPACKE_free( berr_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: zsprfs scalar parameters initialization */
static void init_scalars_zsprfs( char *uplo, lapack_int *n, lapack_int *nrhs,
                                 lapack_int *ldb, lapack_int *ldx )
{
    *uplo = 'L';
    *n = 4;
    *nrhs = 2;
    *ldb = 8;
    *ldx = 8;

    return;
}

/* Auxiliary functions: zsprfs array parameters initialization */
static void init_ap( lapack_int size, lapack_complex_double *ap ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ap[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    ap[0] = lapack_make_complex_double( -3.90000000000000010e-001,
                                        -7.09999999999999960e-001 );
    ap[1] = lapack_make_complex_double( 5.13999999999999970e+000,
                                        -6.40000000000000010e-001 );
    ap[2] = lapack_make_complex_double( -7.86000000000000030e+000,
                                        -2.96000000000000000e+000 );
    ap[3] = lapack_make_complex_double( 3.79999999999999980e+000,
                                        9.20000000000000040e-001 );
    ap[4] = lapack_make_complex_double( 8.85999999999999940e+000,
                                        1.81000000000000010e+000 );
    ap[5] = lapack_make_complex_double( -3.52000000000000000e+000,
                                        5.79999999999999960e-001 );
    ap[6] = lapack_make_complex_double( 5.32000000000000030e+000,
                                        -1.59000000000000010e+000 );
    ap[7] = lapack_make_complex_double( -2.83000000000000010e+000,
                                        -2.99999999999999990e-002 );
    ap[8] = lapack_make_complex_double( -1.54000000000000000e+000,
                                        -2.85999999999999990e+000 );
    ap[9] = lapack_make_complex_double( -5.60000000000000050e-001,
                                        1.20000000000000000e-001 );
}
static void init_afp( lapack_int size, lapack_complex_double *afp ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        afp[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    afp[0] = lapack_make_complex_double( -3.90000000000000010e-001,
                                         -7.09999999999999960e-001 );
    afp[1] = lapack_make_complex_double( -7.86000000000000030e+000,
                                         -2.96000000000000000e+000 );
    afp[2] = lapack_make_complex_double( 5.27872480164079950e-001,
                                         -3.71466001482590570e-001 );
    afp[3] = lapack_make_complex_double( 4.42558238872675090e-001,
                                         1.93648369829740290e-001 );
    afp[4] = lapack_make_complex_double( -2.83000000000000010e+000,
                                         -2.99999999999999990e-002 );
    afp[5] = lapack_make_complex_double( -6.07839105668319330e-001,
                                         2.81079647893121950e-001 );
    afp[6] = lapack_make_complex_double( -4.82282297518538240e-001,
                                         1.49893621910528460e-002 );
    afp[7] = lapack_make_complex_double( 4.40790623673101310e+000,
                                         5.39912067679694110e+000 );
    afp[8] = lapack_make_complex_double( -1.07082188009268410e-001,
                                         -3.15678086248845520e-001 );
    afp[9] = lapack_make_complex_double( -2.09541488784005650e+000,
                                         -2.20113928144078570e+000 );
}
static void init_ipiv( lapack_int size, lapack_int *ipiv ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ipiv[i] = 0;
    }
    ipiv[0] = -3;
    ipiv[1] = -3;
    ipiv[2] = 3;
    ipiv[3] = 4;
}
static void init_b( lapack_int size, lapack_complex_double *b ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        b[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    b[0] = lapack_make_complex_double( -5.56400000000000010e+001,
                                       4.12199999999999990e+001 );
    b[8] = lapack_make_complex_double( -1.90900000000000000e+001,
                                       -3.59699999999999990e+001 );
    b[1] = lapack_make_complex_double( -4.81800000000000000e+001,
                                       6.60000000000000000e+001 );
    b[9] = lapack_make_complex_double( -1.20800000000000000e+001,
                                       -2.70200000000000000e+001 );
    b[2] = lapack_make_complex_double( -4.89999999999999990e-001,
                                       -1.47000000000000000e+000 );
    b[10] = lapack_make_complex_double( 6.95000000000000020e+000,
                                        2.04899999999999980e+001 );
    b[3] = lapack_make_complex_double( -6.42999999999999970e+000,
                                       1.92399999999999980e+001 );
    b[11] = lapack_make_complex_double( -4.58999999999999990e+000,
                                        -3.55300000000000010e+001 );
}
static void init_x( lapack_int size, lapack_complex_double *x ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        x[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    x[0] = lapack_make_complex_double( 1.00000000000000110e+000,
                                       -1.00000000000000180e+000 );
    x[8] = lapack_make_complex_double( -1.99999999999999890e+000,
                                       -1.00000000000000000e+000 );
    x[1] = lapack_make_complex_double( -2.00000000000000130e+000,
                                       5.00000000000000090e+000 );
    x[9] = lapack_make_complex_double( 9.99999999999999560e-001,
                                       -3.00000000000000040e+000 );
    x[2] = lapack_make_complex_double( 3.00000000000000000e+000,
                                       -1.99999999999999640e+000 );
    x[10] = lapack_make_complex_double( 2.99999999999999820e+000,
                                        1.99999999999999930e+000 );
    x[3] = lapack_make_complex_double( -4.00000000000000000e+000,
                                       3.00000000000000270e+000 );
    x[11] = lapack_make_complex_double( -1.00000000000000020e+000,
                                        1.00000000000000070e+000 );
}
static void init_ferr( lapack_int size, double *ferr ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ferr[i] = 0;
    }
}
static void init_berr( lapack_int size, double *berr ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        berr[i] = 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 );
    }
}
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 zsprfs results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zsprfs( lapack_complex_double *x, lapack_complex_double *x_i,
                           double *ferr, double *ferr_i, double *berr,
                           double *berr_i, lapack_int info, lapack_int info_i,
                           lapack_int ldx, lapack_int nrhs )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldx*nrhs; i++ ) {
        failed += compare_complex_doubles(x[i],x_i[i]);
    }
    for( i = 0; i < nrhs; i++ ) {
        failed += compare_doubles(ferr[i],ferr_i[i]);
    }
    for( i = 0; i < nrhs; i++ ) {
        failed += compare_doubles(berr[i],berr_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;
}