zhptrd_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zhptrd_1 is the test program for the C interface to LAPACK
* routine zhptrd
* 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_zhptrd( char *uplo, lapack_int *n );
static void init_ap( lapack_int size, lapack_complex_double *ap );
static void init_d( lapack_int size, double *d );
static void init_e( lapack_int size, double *e );
static void init_tau( lapack_int size, lapack_complex_double *tau );
static int compare_zhptrd( lapack_complex_double *ap,
                           lapack_complex_double *ap_i, double *d, double *d_i,
                           double *e, double *e_i, lapack_complex_double *tau,
                           lapack_complex_double *tau_i, lapack_int info,
                           lapack_int info_i, lapack_int n );

int main(void)
{
    /* Local scalars */
    char uplo, uplo_i;
    lapack_int n, n_i;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_complex_double *ap = NULL, *ap_i = NULL;
    double *d = NULL, *d_i = NULL;
    double *e = NULL, *e_i = NULL;
    lapack_complex_double *tau = NULL, *tau_i = NULL;
    lapack_complex_double *ap_save = NULL;
    double *d_save = NULL;
    double *e_save = NULL;
    lapack_complex_double *tau_save = NULL;
    lapack_complex_double *ap_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zhptrd( &uplo, &n );
    uplo_i = uplo;
    n_i = n;

    /* Allocate memory for the LAPACK routine arrays */
    ap = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    d = (double *)LAPACKE_malloc( n * sizeof(double) );
    e = (double *)LAPACKE_malloc( (n-1) * sizeof(double) );
    tau = (lapack_complex_double *)
        LAPACKE_malloc( (n-1) * sizeof(lapack_complex_double) );

    /* Allocate memory for the C interface function arrays */
    ap_i = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    d_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    e_i = (double *)LAPACKE_malloc( (n-1) * sizeof(double) );
    tau_i = (lapack_complex_double *)
        LAPACKE_malloc( (n-1) * sizeof(lapack_complex_double) );

    /* Allocate memory for the backup arrays */
    ap_save = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    d_save = (double *)LAPACKE_malloc( n * sizeof(double) );
    e_save = (double *)LAPACKE_malloc( (n-1) * sizeof(double) );
    tau_save = (lapack_complex_double *)
        LAPACKE_malloc( (n-1) * sizeof(lapack_complex_double) );

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

    /* Initialize input arrays */
    init_ap( (n*(n+1)/2), ap );
    init_d( n, d );
    init_e( (n-1), e );
    init_tau( (n-1), tau );

    /* Backup the ouptut arrays */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_save[i] = ap[i];
    }
    for( i = 0; i < n; i++ ) {
        d_save[i] = d[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_save[i] = e[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        tau_save[i] = tau[i];
    }

    /* Call the LAPACK routine */
    zhptrd_( &uplo, &n, ap, d, e, tau, &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_save[i];
    }
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        tau_i[i] = tau_save[i];
    }
    info_i = LAPACKE_zhptrd_work( LAPACK_COL_MAJOR, uplo_i, n_i, ap_i, d_i, e_i,
                                  tau_i );

    failed = compare_zhptrd( ap, ap_i, d, d_i, e, e_i, tau, tau_i, info, info_i,
                             n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zhptrd\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zhptrd\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_save[i];
    }
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        tau_i[i] = tau_save[i];
    }
    info_i = LAPACKE_zhptrd( LAPACK_COL_MAJOR, uplo_i, n_i, ap_i, d_i, e_i,
                             tau_i );

    failed = compare_zhptrd( ap, ap_i, d, d_i, e, e_i, tau, tau_i, info, info_i,
                             n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zhptrd\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zhptrd\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_save[i];
    }
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        tau_i[i] = tau_save[i];
    }

    LAPACKE_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    info_i = LAPACKE_zhptrd_work( LAPACK_ROW_MAJOR, uplo_i, n_i, ap_r, d_i, e_i,
                                  tau_i );

    LAPACKE_zpp_trans( LAPACK_ROW_MAJOR, uplo, n, ap_r, ap_i );

    failed = compare_zhptrd( ap, ap_i, d, d_i, e, e_i, tau, tau_i, info, info_i,
                             n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zhptrd\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zhptrd\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_save[i];
    }
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        tau_i[i] = tau_save[i];
    }

    /* Init row_major arrays */
    LAPACKE_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    info_i = LAPACKE_zhptrd( LAPACK_ROW_MAJOR, uplo_i, n_i, ap_r, d_i, e_i,
                             tau_i );

    LAPACKE_zpp_trans( LAPACK_ROW_MAJOR, uplo, n, ap_r, ap_i );

    failed = compare_zhptrd( ap, ap_i, d, d_i, e, e_i, tau, tau_i, info, info_i,
                             n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zhptrd\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zhptrd\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( ap_save != NULL ) {
        LAPACKE_free( ap_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( tau != NULL ) {
        LAPACKE_free( tau );
    }
    if( tau_i != NULL ) {
        LAPACKE_free( tau_i );
    }
    if( tau_save != NULL ) {
        LAPACKE_free( tau_save );
    }

    return 0;
}

/* Auxiliary function: zhptrd scalar parameters initialization */
static void init_scalars_zhptrd( char *uplo, lapack_int *n )
{
    *uplo = 'L';
    *n = 4;

    return;
}

/* Auxiliary functions: zhptrd 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( -2.27863777089783250e+000,
                                        0.00000000000000000e+000 );
    ap[1] = lapack_make_complex_double( 1.77985640242257270e+000,
                                        2.03103879588834160e+000 );
    ap[2] = lapack_make_complex_double( 2.25939002409273690e+000,
                                        -9.95749421647273980e-002 );
    ap[3] = lapack_make_complex_double( -1.20633691268116350e-001,
                                        -2.52858277501069440e+000 );
    ap[4] = lapack_make_complex_double( -1.12551452769603120e+000,
                                        0.00000000000000000e+000 );
    ap[5] = lapack_make_complex_double( 8.96209618519241450e-003,
                                        -4.26079963130596820e-001 );
    ap[6] = lapack_make_complex_double( -1.06024967489042020e+000,
                                        -8.60034936270400400e-001 );
    ap[7] = lapack_make_complex_double( -3.71473039005261020e-001,
                                        0.00000000000000000e+000 );
    ap[8] = lapack_make_complex_double( 2.31032244752093340e+000,
                                        9.19816377686726420e-001 );
    ap[9] = lapack_make_complex_double( -7.13254945990780210e-001,
                                        0.00000000000000000e+000 );
}
static void init_d( lapack_int size, double *d ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        d[i] = 0;
    }
}
static void init_e( lapack_int size, double *e ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        e[i] = 0;
    }
}
static void init_tau( lapack_int size, lapack_complex_double *tau ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        tau[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
}

/* Auxiliary function: C interface to zhptrd results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zhptrd( lapack_complex_double *ap,
                           lapack_complex_double *ap_i, double *d, double *d_i,
                           double *e, double *e_i, lapack_complex_double *tau,
                           lapack_complex_double *tau_i, lapack_int info,
                           lapack_int info_i, lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        failed += compare_complex_doubles(ap[i],ap_i[i]);
    }
    for( i = 0; i < n; i++ ) {
        failed += compare_doubles(d[i],d_i[i]);
    }
    for( i = 0; i < (n-1); i++ ) {
        failed += compare_doubles(e[i],e_i[i]);
    }
    for( i = 0; i < (n-1); i++ ) {
        failed += compare_complex_doubles(tau[i],tau_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;
}