zgbtrs_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zgbtrs_1 is the test program for the C interface to LAPACK
* routine zgbtrs
* 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_zgbtrs( char *trans, lapack_int *n, lapack_int *kl,
                                 lapack_int *ku, lapack_int *nrhs,
                                 lapack_int *ldab, lapack_int *ldb );
static void init_ab( lapack_int size, lapack_complex_double *ab );
static void init_ipiv( lapack_int size, lapack_int *ipiv );
static void init_b( lapack_int size, lapack_complex_double *b );
static int compare_zgbtrs( lapack_complex_double *b, lapack_complex_double *b_i,
                           lapack_int info, lapack_int info_i, lapack_int ldb,
                           lapack_int nrhs );

int main(void)
{
    /* Local scalars */
    char trans, trans_i;
    lapack_int n, n_i;
    lapack_int kl, kl_i;
    lapack_int ku, ku_i;
    lapack_int nrhs, nrhs_i;
    lapack_int ldab, ldab_i;
    lapack_int ldab_r;
    lapack_int ldb, ldb_i;
    lapack_int ldb_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_complex_double *ab = NULL, *ab_i = NULL;
    lapack_int *ipiv = NULL, *ipiv_i = NULL;
    lapack_complex_double *b = NULL, *b_i = NULL;
    lapack_complex_double *b_save = NULL;
    lapack_complex_double *ab_r = NULL;
    lapack_complex_double *b_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zgbtrs( &trans, &n, &kl, &ku, &nrhs, &ldab, &ldb );
    ldab_r = n+2;
    ldb_r = nrhs+2;
    trans_i = trans;
    n_i = n;
    kl_i = kl;
    ku_i = ku;
    nrhs_i = nrhs;
    ldab_i = ldab;
    ldb_i = ldb;

    /* Allocate memory for the LAPACK routine arrays */
    ab = (lapack_complex_double *)
        LAPACKE_malloc( ldab*n * 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) );

    /* Allocate memory for the C interface function arrays */
    ab_i = (lapack_complex_double *)
        LAPACKE_malloc( ldab*n * 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) );

    /* Allocate memory for the backup arrays */
    b_save = (lapack_complex_double *)
        LAPACKE_malloc( ldb*nrhs * sizeof(lapack_complex_double) );

    /* Allocate memory for the row-major arrays */
    ab_r = (lapack_complex_double *)
        LAPACKE_malloc( ((2*kl+ku+1)*(n+2)) * sizeof(lapack_complex_double) );
    b_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(nrhs+2) * sizeof(lapack_complex_double) );

    /* Initialize input arrays */
    init_ab( ldab*n, ab );
    init_ipiv( n, ipiv );
    init_b( ldb*nrhs, b );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_save[i] = b[i];
    }

    /* Call the LAPACK routine */
    zgbtrs_( &trans, &n, &kl, &ku, &nrhs, ab, &ldab, ipiv, b, &ldb, &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[i];
    }
    for( i = 0; i < n; i++ ) {
        ipiv_i[i] = ipiv[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b_save[i];
    }
    info_i = LAPACKE_zgbtrs_work( LAPACK_COL_MAJOR, trans_i, n_i, kl_i, ku_i,
                                  nrhs_i, ab_i, ldab_i, ipiv_i, b_i, ldb_i );

    failed = compare_zgbtrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zgbtrs\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zgbtrs\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[i];
    }
    for( i = 0; i < n; i++ ) {
        ipiv_i[i] = ipiv[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b_save[i];
    }
    info_i = LAPACKE_zgbtrs( LAPACK_COL_MAJOR, trans_i, n_i, kl_i, ku_i, nrhs_i,
                             ab_i, ldab_i, ipiv_i, b_i, ldb_i );

    failed = compare_zgbtrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zgbtrs\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zgbtrs\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[i];
    }
    for( i = 0; i < n; i++ ) {
        ipiv_i[i] = ipiv[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b_save[i];
    }

    LAPACKE_zge_trans( LAPACK_COL_MAJOR, 2*kl+ku+1, n, ab_i, ldab, ab_r, n+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    info_i = LAPACKE_zgbtrs_work( LAPACK_ROW_MAJOR, trans_i, n_i, kl_i, ku_i,
                                  nrhs_i, ab_r, ldab_r, ipiv_i, b_r, ldb_r );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, nrhs, b_r, nrhs+2, b_i, ldb );

    failed = compare_zgbtrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zgbtrs\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zgbtrs\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[i];
    }
    for( i = 0; i < n; i++ ) {
        ipiv_i[i] = ipiv[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b_save[i];
    }

    /* Init row_major arrays */
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, 2*kl+ku+1, n, ab_i, ldab, ab_r, n+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    info_i = LAPACKE_zgbtrs( LAPACK_ROW_MAJOR, trans_i, n_i, kl_i, ku_i, nrhs_i,
                             ab_r, ldab_r, ipiv_i, b_r, ldb_r );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, nrhs, b_r, nrhs+2, b_i, ldb );

    failed = compare_zgbtrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zgbtrs\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zgbtrs\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( 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( b_save != NULL ) {
        LAPACKE_free( b_save );
    }

    return 0;
}

/* Auxiliary function: zgbtrs scalar parameters initialization */
static void init_scalars_zgbtrs( char *trans, lapack_int *n, lapack_int *kl,
                                 lapack_int *ku, lapack_int *nrhs,
                                 lapack_int *ldab, lapack_int *ldb )
{
    *trans = 'N';
    *n = 4;
    *kl = 1;
    *ku = 2;
    *nrhs = 2;
    *ldab = 25;
    *ldb = 8;

    return;
}

/* Auxiliary functions: zgbtrs 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( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    ab[25] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    ab[50] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    ab[75] = lapack_make_complex_double( 5.89999999999999970e-001,
                                         -4.79999999999999980e-001 );
    ab[1] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    ab[26] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    ab[51] = lapack_make_complex_double( -3.99000000000000020e+000,
                                         4.00999999999999980e+000 );
    ab[76] = lapack_make_complex_double( 3.33000000000000010e+000,
                                         -1.04000000000000000e+000 );
    ab[2] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    ab[27] = lapack_make_complex_double( -1.48000000000000000e+000,
                                         -1.75000000000000000e+000 );
    ab[52] = lapack_make_complex_double( -1.06000000000000010e+000,
                                         1.93999999999999990e+000 );
    ab[77] = lapack_make_complex_double( -1.76920938160968100e+000,
                                         -1.85874728194578730e+000 );
    ab[3] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        6.29999999999999980e+000 );
    ab[28] = lapack_make_complex_double( -7.70000000000000020e-001,
                                         2.83000000000000010e+000 );
    ab[53] = lapack_make_complex_double( 4.93026694117547140e+000,
                                         -3.00856374062719210e+000 );
    ab[78] = lapack_make_complex_double( 4.33774926590159760e-001,
                                         1.23252818156083470e-001 );
    ab[4] = lapack_make_complex_double( 3.58730158730158680e-001,
                                        2.61904761904761860e-001 );
    ab[29] = lapack_make_complex_double( 2.31426072874374280e-001,
                                         6.35764884204745640e-001 );
    ab[54] = lapack_make_complex_double( 7.60422661963551130e-001,
                                         2.42944258926713260e-001 );
    ab[79] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+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] = 2;
    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( -1.06000000000000010e+000,
                                       2.15000000000000000e+001 );
    b[8] = lapack_make_complex_double( 1.28500000000000000e+001,
                                       2.83999999999999990e+000 );
    b[1] = lapack_make_complex_double( -2.27199999999999990e+001,
                                       -5.38999999999999990e+001 );
    b[9] = lapack_make_complex_double( -7.02199999999999990e+001,
                                       2.15700000000000000e+001 );
    b[2] = lapack_make_complex_double( 2.82399999999999980e+001,
                                       -3.86000000000000010e+001 );
    b[10] = lapack_make_complex_double( -2.07300000000000000e+001,
                                        -1.23000000000000000e+000 );
    b[3] = lapack_make_complex_double( -3.45600000000000020e+001,
                                       1.67300000000000000e+001 );
    b[11] = lapack_make_complex_double( 2.60100000000000020e+001,
                                        3.19699999999999990e+001 );
}

/* Auxiliary function: C interface to zgbtrs results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zgbtrs( lapack_complex_double *b, lapack_complex_double *b_i,
                           lapack_int info, lapack_int info_i, lapack_int ldb,
                           lapack_int nrhs )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldb*nrhs; i++ ) {
        failed += compare_complex_doubles(b[i],b_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;
}