zhbtrd_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zhbtrd_1 is the test program for the C interface to LAPACK
* routine zhbtrd
* 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_zhbtrd( char *vect, char *uplo, lapack_int *n,
                                 lapack_int *kd, lapack_int *ldab,
                                 lapack_int *ldq );
static void init_ab( lapack_int size, lapack_complex_double *ab );
static void init_d( lapack_int size, double *d );
static void init_e( lapack_int size, double *e );
static void init_q( lapack_int size, lapack_complex_double *q );
static void init_work( lapack_int size, lapack_complex_double *work );
static int compare_zhbtrd( lapack_complex_double *ab,
                           lapack_complex_double *ab_i, double *d, double *d_i,
                           double *e, double *e_i, lapack_complex_double *q,
                           lapack_complex_double *q_i, lapack_int info,
                           lapack_int info_i, lapack_int ldab, lapack_int ldq,
                           lapack_int n, char vect );

int main(void)
{
    /* Local scalars */
    char vect, vect_i;
    char uplo, uplo_i;
    lapack_int n, n_i;
    lapack_int kd, kd_i;
    lapack_int ldab, ldab_i;
    lapack_int ldab_r;
    lapack_int ldq, ldq_i;
    lapack_int ldq_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_complex_double *ab = NULL, *ab_i = NULL;
    double *d = NULL, *d_i = NULL;
    double *e = NULL, *e_i = NULL;
    lapack_complex_double *q = NULL, *q_i = NULL;
    lapack_complex_double *work = NULL, *work_i = NULL;
    lapack_complex_double *ab_save = NULL;
    double *d_save = NULL;
    double *e_save = NULL;
    lapack_complex_double *q_save = NULL;
    lapack_complex_double *ab_r = NULL;
    lapack_complex_double *q_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zhbtrd( &vect, &uplo, &n, &kd, &ldab, &ldq );
    ldab_r = n+2;
    ldq_r = n+2;
    vect_i = vect;
    uplo_i = uplo;
    n_i = n;
    kd_i = kd;
    ldab_i = ldab;
    ldq_i = ldq;

    /* Allocate memory for the LAPACK routine arrays */
    ab = (lapack_complex_double *)
        LAPACKE_malloc( ldab*n * sizeof(lapack_complex_double) );
    d = (double *)LAPACKE_malloc( n * sizeof(double) );
    e = (double *)LAPACKE_malloc( (n-1) * sizeof(double) );
    q = (lapack_complex_double *)
        LAPACKE_malloc( ldq*n * sizeof(lapack_complex_double) );
    work = (lapack_complex_double *)
        LAPACKE_malloc( n * sizeof(lapack_complex_double) );

    /* Allocate memory for the C interface function arrays */
    ab_i = (lapack_complex_double *)
        LAPACKE_malloc( ldab*n * sizeof(lapack_complex_double) );
    d_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    e_i = (double *)LAPACKE_malloc( (n-1) * sizeof(double) );
    q_i = (lapack_complex_double *)
        LAPACKE_malloc( ldq*n * sizeof(lapack_complex_double) );
    work_i = (lapack_complex_double *)
        LAPACKE_malloc( n * sizeof(lapack_complex_double) );

    /* Allocate memory for the backup arrays */
    ab_save = (lapack_complex_double *)
        LAPACKE_malloc( ldab*n * sizeof(lapack_complex_double) );
    d_save = (double *)LAPACKE_malloc( n * sizeof(double) );
    e_save = (double *)LAPACKE_malloc( (n-1) * sizeof(double) );
    q_save = (lapack_complex_double *)
        LAPACKE_malloc( ldq*n * sizeof(lapack_complex_double) );

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

    /* Initialize input arrays */
    init_ab( ldab*n, ab );
    init_d( n, d );
    init_e( (n-1), e );
    init_q( ldq*n, q );
    init_work( n, work );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldab*n; i++ ) {
        ab_save[i] = ab[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 < ldq*n; i++ ) {
        q_save[i] = q[i];
    }

    /* Call the LAPACK routine */
    zhbtrd_( &vect, &uplo, &n, &kd, ab, &ldab, d, e, q, &ldq, work, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldab*n; i++ ) {
        ab_i[i] = ab_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 < ldq*n; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < n; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zhbtrd_work( LAPACK_COL_MAJOR, vect_i, uplo_i, n_i, kd_i,
                                  ab_i, ldab_i, d_i, e_i, q_i, ldq_i, work_i );

    failed = compare_zhbtrd( ab, ab_i, d, d_i, e, e_i, q, q_i, info, info_i,
                             ldab, ldq, n, vect );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zhbtrd\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zhbtrd\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldab*n; i++ ) {
        ab_i[i] = ab_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 < ldq*n; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < n; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zhbtrd( LAPACK_COL_MAJOR, vect_i, uplo_i, n_i, kd_i, ab_i,
                             ldab_i, d_i, e_i, q_i, ldq_i );

    failed = compare_zhbtrd( ab, ab_i, d, d_i, e, e_i, q, q_i, info, info_i,
                             ldab, ldq, n, vect );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zhbtrd\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zhbtrd\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldab*n; i++ ) {
        ab_i[i] = ab_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 < ldq*n; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < n; i++ ) {
        work_i[i] = work[i];
    }

    LAPACKE_zge_trans( LAPACK_COL_MAJOR, kd+1, n, ab_i, ldab, ab_r, n+2 );
    if( LAPACKE_lsame( vect, 'u' ) || LAPACKE_lsame( vect, 'v' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, q_i, ldq, q_r, n+2 );
    }
    info_i = LAPACKE_zhbtrd_work( LAPACK_ROW_MAJOR, vect_i, uplo_i, n_i, kd_i,
                                  ab_r, ldab_r, d_i, e_i, q_r, ldq_r, work_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, kd+1, n, ab_r, n+2, ab_i, ldab );
    if( LAPACKE_lsame( vect, 'u' ) || LAPACKE_lsame( vect, 'v' ) ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, q_r, n+2, q_i, ldq );
    }

    failed = compare_zhbtrd( ab, ab_i, d, d_i, e, e_i, q, q_i, info, info_i,
                             ldab, ldq, n, vect );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zhbtrd\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zhbtrd\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldab*n; i++ ) {
        ab_i[i] = ab_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 < ldq*n; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < n; i++ ) {
        work_i[i] = work[i];
    }

    /* Init row_major arrays */
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, kd+1, n, ab_i, ldab, ab_r, n+2 );
    if( LAPACKE_lsame( vect, 'u' ) || LAPACKE_lsame( vect, 'v' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, q_i, ldq, q_r, n+2 );
    }
    info_i = LAPACKE_zhbtrd( LAPACK_ROW_MAJOR, vect_i, uplo_i, n_i, kd_i, ab_r,
                             ldab_r, d_i, e_i, q_r, ldq_r );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, kd+1, n, ab_r, n+2, ab_i, ldab );
    if( LAPACKE_lsame( vect, 'u' ) || LAPACKE_lsame( vect, 'v' ) ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, q_r, n+2, q_i, ldq );
    }

    failed = compare_zhbtrd( ab, ab_i, d, d_i, e, e_i, q, q_i, info, info_i,
                             ldab, ldq, n, vect );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zhbtrd\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zhbtrd\n" );
    }

    /* Release memory */
    if( ab != NULL ) {
        LAPACKE_free( ab );
    }
    if( ab_i != NULL ) {
        LAPACKE_free( ab_i );
    }
    if( ab_r != NULL ) {
        LAPACKE_free( ab_r );
    }
    if( ab_save != NULL ) {
        LAPACKE_free( ab_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( q != NULL ) {
        LAPACKE_free( q );
    }
    if( q_i != NULL ) {
        LAPACKE_free( q_i );
    }
    if( q_r != NULL ) {
        LAPACKE_free( q_r );
    }
    if( q_save != NULL ) {
        LAPACKE_free( q_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }

    return 0;
}

/* Auxiliary function: zhbtrd scalar parameters initialization */
static void init_scalars_zhbtrd( char *vect, char *uplo, lapack_int *n,
                                 lapack_int *kd, lapack_int *ldab,
                                 lapack_int *ldq )
{
    *vect = 'V';
    *uplo = 'L';
    *n = 4;
    *kd = 2;
    *ldab = 9;
    *ldq = 8;

    return;
}

/* Auxiliary functions: zhbtrd array parameters initialization */
static void init_ab( lapack_int size, lapack_complex_double *ab ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ab[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    ab[0] = lapack_make_complex_double( -3.12999999999999990e+000,
                                        0.00000000000000000e+000 );
    ab[9] = lapack_make_complex_double( -1.90999999999999990e+000,
                                        0.00000000000000000e+000 );
    ab[18] = lapack_make_complex_double( -2.87000000000000010e+000,
                                         0.00000000000000000e+000 );
    ab[27] = lapack_make_complex_double( 5.00000000000000000e-001,
                                         0.00000000000000000e+000 );
    ab[1] = lapack_make_complex_double( 1.93999999999999990e+000,
                                        2.10000000000000010e+000 );
    ab[10] = lapack_make_complex_double( -8.19999999999999950e-001,
                                         8.90000000000000010e-001 );
    ab[19] = lapack_make_complex_double( -2.10000000000000010e+000,
                                         1.60000000000000000e-001 );
    ab[28] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    ab[2] = lapack_make_complex_double( -3.39999999999999990e+000,
                                        -2.50000000000000000e-001 );
    ab[11] = lapack_make_complex_double( -6.70000000000000040e-001,
                                         -3.40000000000000020e-001 );
    ab[20] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    ab[29] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         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_q( lapack_int size, lapack_complex_double *q ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        q[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    q[0] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    q[8] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    q[16] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    q[24] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    q[1] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    q[9] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    q[17] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    q[25] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    q[2] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    q[10] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    q[18] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    q[26] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    q[3] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    q[11] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    q[19] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    q[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 );
    }
}

/* Auxiliary function: C interface to zhbtrd results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zhbtrd( lapack_complex_double *ab,
                           lapack_complex_double *ab_i, double *d, double *d_i,
                           double *e, double *e_i, lapack_complex_double *q,
                           lapack_complex_double *q_i, lapack_int info,
                           lapack_int info_i, lapack_int ldab, lapack_int ldq,
                           lapack_int n, char vect )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldab*n; i++ ) {
        failed += compare_complex_doubles(ab[i],ab_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]);
    }
    if( LAPACKE_lsame( vect, 'u' ) || LAPACKE_lsame( vect, 'v' ) ) {
        for( i = 0; i < ldq*n; i++ ) {
            failed += compare_complex_doubles(q[i],q_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;
}