zpbrfs_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zpbrfs_1 is the test program for the C interface to LAPACK
* routine zpbrfs
* 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_zpbrfs( char *uplo, lapack_int *n, lapack_int *kd,
                                 lapack_int *nrhs, lapack_int *ldab,
                                 lapack_int *ldafb, lapack_int *ldb,
                                 lapack_int *ldx );
static void init_ab( lapack_int size, lapack_complex_double *ab );
static void init_afb( lapack_int size, lapack_complex_double *afb );
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_zpbrfs( 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 kd, kd_i;
    lapack_int nrhs, nrhs_i;
    lapack_int ldab, ldab_i;
    lapack_int ldab_r;
    lapack_int ldafb, ldafb_i;
    lapack_int ldafb_r;
    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 *ab = NULL, *ab_i = NULL;
    lapack_complex_double *afb = NULL, *afb_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 *ab_r = NULL;
    lapack_complex_double *afb_r = NULL;
    lapack_complex_double *b_r = NULL;
    lapack_complex_double *x_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zpbrfs( &uplo, &n, &kd, &nrhs, &ldab, &ldafb, &ldb, &ldx );
    ldab_r = n+2;
    ldafb_r = n+2;
    ldb_r = nrhs+2;
    ldx_r = nrhs+2;
    uplo_i = uplo;
    n_i = n;
    kd_i = kd;
    nrhs_i = nrhs;
    ldab_i = ldab;
    ldafb_i = ldafb;
    ldb_i = ldb;
    ldx_i = ldx;

    /* Allocate memory for the LAPACK routine arrays */
    ab = (lapack_complex_double *)
        LAPACKE_malloc( ldab*n * sizeof(lapack_complex_double) );
    afb = (lapack_complex_double *)
        LAPACKE_malloc( ldafb*n * sizeof(lapack_complex_double) );
    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 */
    ab_i = (lapack_complex_double *)
        LAPACKE_malloc( ldab*n * sizeof(lapack_complex_double) );
    afb_i = (lapack_complex_double *)
        LAPACKE_malloc( ldafb*n * sizeof(lapack_complex_double) );
    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 */
    ab_r = (lapack_complex_double *)
        LAPACKE_malloc( (kd+1)*(n+2) * sizeof(lapack_complex_double) );
    afb_r = (lapack_complex_double *)
        LAPACKE_malloc( (kd+1)*(n+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_ab( ldab*n, ab );
    init_afb( ldafb*n, afb );
    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 */
    zpbrfs_( &uplo, &n, &kd, &nrhs, ab, &ldab, afb, &ldafb, 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 < ldab*n; i++ ) {
        ab_i[i] = ab[i];
    }
    for( i = 0; i < ldafb*n; i++ ) {
        afb_i[i] = afb[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_zpbrfs_work( LAPACK_COL_MAJOR, uplo_i, n_i, kd_i, nrhs_i,
                                  ab_i, ldab_i, afb_i, ldafb_i, b_i, ldb_i, x_i,
                                  ldx_i, ferr_i, berr_i, work_i, rwork_i );

    failed = compare_zpbrfs( 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 zpbrfs\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zpbrfs\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 < ldafb*n; i++ ) {
        afb_i[i] = afb[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_zpbrfs( LAPACK_COL_MAJOR, uplo_i, n_i, kd_i, nrhs_i, ab_i,
                             ldab_i, afb_i, ldafb_i, b_i, ldb_i, x_i, ldx_i,
                             ferr_i, berr_i );

    failed = compare_zpbrfs( 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 zpbrfs\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zpbrfs\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 < ldafb*n; i++ ) {
        afb_i[i] = afb[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_zge_trans( LAPACK_COL_MAJOR, kd+1, n, ab_i, ldab, ab_r, n+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, kd+1, n, afb_i, ldafb, afb_r, n+2 );
    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_zpbrfs_work( LAPACK_ROW_MAJOR, uplo_i, n_i, kd_i, nrhs_i,
                                  ab_r, ldab_r, afb_r, ldafb_r, 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_zpbrfs( 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 zpbrfs\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zpbrfs\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 < ldafb*n; i++ ) {
        afb_i[i] = afb[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_zge_trans( LAPACK_COL_MAJOR, kd+1, n, ab_i, ldab, ab_r, n+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, kd+1, n, afb_i, ldafb, afb_r, n+2 );
    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_zpbrfs( LAPACK_ROW_MAJOR, uplo_i, n_i, kd_i, nrhs_i, ab_r,
                             ldab_r, afb_r, ldafb_r, 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_zpbrfs( 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 zpbrfs\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zpbrfs\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( afb != NULL ) {
        LAPACKE_free( afb );
    }
    if( afb_i != NULL ) {
        LAPACKE_free( afb_i );
    }
    if( afb_r != NULL ) {
        LAPACKE_free( afb_r );
    }
    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: zpbrfs scalar parameters initialization */
static void init_scalars_zpbrfs( char *uplo, lapack_int *n, lapack_int *kd,
                                 lapack_int *nrhs, lapack_int *ldab,
                                 lapack_int *ldafb, lapack_int *ldb,
                                 lapack_int *ldx )
{
    *uplo = 'L';
    *n = 4;
    *kd = 1;
    *nrhs = 2;
    *ldab = 9;
    *ldafb = 9;
    *ldb = 8;
    *ldx = 8;

    return;
}

/* Auxiliary functions: zpbrfs 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( 9.39000000000000060e+000,
                                        0.00000000000000000e+000 );
    ab[9] = lapack_make_complex_double( 1.68999999999999990e+000,
                                        0.00000000000000000e+000 );
    ab[18] = lapack_make_complex_double( 2.64999999999999990e+000,
                                         0.00000000000000000e+000 );
    ab[27] = lapack_make_complex_double( 2.16999999999999990e+000,
                                         0.00000000000000000e+000 );
    ab[1] = lapack_make_complex_double( 1.08000000000000010e+000,
                                        1.73000000000000000e+000 );
    ab[10] = lapack_make_complex_double( -4.00000000000000010e-002,
                                         -2.89999999999999980e-001 );
    ab[19] = lapack_make_complex_double( -3.30000000000000020e-001,
                                         -2.24000000000000020e+000 );
    ab[28] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
}
static void init_afb( lapack_int size, lapack_complex_double *afb ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        afb[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    afb[0] = lapack_make_complex_double( 3.06431068920891250e+000,
                                         0.00000000000000000e+000 );
    afb[9] = lapack_make_complex_double( 1.11671395318950690e+000,
                                         0.00000000000000000e+000 );
    afb[18] = lapack_make_complex_double( 1.60663555873113610e+000,
                                          0.00000000000000000e+000 );
    afb[27] = lapack_make_complex_double( 4.28915067402645010e-001,
                                          0.00000000000000000e+000 );
    afb[1] = lapack_make_complex_double( 3.52444679909012350e-001,
                                         5.64564163187584510e-001 );
    afb[10] = lapack_make_complex_double( -3.58193787099676180e-002,
                                          -2.59690495647265210e-001 );
    afb[19] = lapack_make_complex_double( -2.05398167746655840e-001,
                                          -1.39421786591669420e+000 );
    afb[28] = lapack_make_complex_double( 0.00000000000000000e+000,
                                          0.00000000000000000e+000 );
}
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( -1.24200000000000000e+001,
                                       6.84200000000000020e+001 );
    b[8] = lapack_make_complex_double( 5.42999999999999970e+001,
                                       -5.65600000000000020e+001 );
    b[1] = lapack_make_complex_double( -9.92999999999999970e+000,
                                       8.80000000000000000e-001 );
    b[9] = lapack_make_complex_double( 1.83200000000000000e+001,
                                       4.75999999999999980e+000 );
    b[2] = lapack_make_complex_double( -2.73000000000000010e+001,
                                       -1.00000000000000000e-002 );
    b[10] = lapack_make_complex_double( -4.40000000000000040e+000,
                                        9.97000000000000060e+000 );
    b[3] = lapack_make_complex_double( 5.30999999999999960e+000,
                                       2.36299999999999990e+001 );
    b[11] = lapack_make_complex_double( 9.42999999999999970e+000,
                                        1.40999999999999990e+000 );
}
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( -1.00000000000000020e+000,
                                       7.99999999999999820e+000 );
    x[8] = lapack_make_complex_double( 4.99999999999999730e+000,
                                       -5.99999999999999910e+000 );
    x[1] = lapack_make_complex_double( 1.99999999999999820e+000,
                                       -2.99999999999999870e+000 );
    x[9] = lapack_make_complex_double( 1.99999999999999930e+000,
                                       3.00000000000000440e+000 );
    x[2] = lapack_make_complex_double( -4.00000000000000800e+000,
                                       -5.00000000000000360e+000 );
    x[10] = lapack_make_complex_double( -8.00000000000000890e+000,
                                        3.99999999999999780e+000 );
    x[3] = lapack_make_complex_double( 7.00000000000000090e+000,
                                       5.99999999999999200e+000 );
    x[11] = lapack_make_complex_double( -9.99999999999998780e-001,
                                        -7.00000000000000890e+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 zpbrfs results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zpbrfs( 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;
}