zpbtrs_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zpbtrs_1 is the test program for the C interface to LAPACK
* routine zpbtrs
* 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_zpbtrs( char *uplo, lapack_int *n, lapack_int *kd,
                                 lapack_int *nrhs, lapack_int *ldab,
                                 lapack_int *ldb );
static void init_ab( lapack_int size, lapack_complex_double *ab );
static void init_b( lapack_int size, lapack_complex_double *b );
static int compare_zpbtrs( 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 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 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_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_zpbtrs( &uplo, &n, &kd, &nrhs, &ldab, &ldb );
    ldab_r = n+2;
    ldb_r = nrhs+2;
    uplo_i = uplo;
    n_i = n;
    kd_i = kd;
    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) );
    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) );
    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( (kd+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_b( ldb*nrhs, b );

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

    /* Call the LAPACK routine */
    zpbtrs_( &uplo, &n, &kd, &nrhs, ab, &ldab, 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 < ldb*nrhs; i++ ) {
        b_i[i] = b_save[i];
    }
    info_i = LAPACKE_zpbtrs_work( LAPACK_COL_MAJOR, uplo_i, n_i, kd_i, nrhs_i,
                                  ab_i, ldab_i, b_i, ldb_i );

    failed = compare_zpbtrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zpbtrs\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zpbtrs\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 < ldb*nrhs; i++ ) {
        b_i[i] = b_save[i];
    }
    info_i = LAPACKE_zpbtrs( LAPACK_COL_MAJOR, uplo_i, n_i, kd_i, nrhs_i, ab_i,
                             ldab_i, b_i, ldb_i );

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

    LAPACKE_zge_trans( LAPACK_COL_MAJOR, kd+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_zpbtrs_work( LAPACK_ROW_MAJOR, uplo_i, n_i, kd_i, nrhs_i,
                                  ab_r, ldab_r, b_r, ldb_r );

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

    failed = compare_zpbtrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zpbtrs\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zpbtrs\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 < ldb*nrhs; i++ ) {
        b_i[i] = b_save[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, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    info_i = LAPACKE_zpbtrs( LAPACK_ROW_MAJOR, uplo_i, n_i, kd_i, nrhs_i, ab_r,
                             ldab_r, b_r, ldb_r );

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

    failed = compare_zpbtrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zpbtrs\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zpbtrs\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( 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: zpbtrs scalar parameters initialization */
static void init_scalars_zpbtrs( char *uplo, lapack_int *n, lapack_int *kd,
                                 lapack_int *nrhs, lapack_int *ldab,
                                 lapack_int *ldb )
{
    *uplo = 'L';
    *n = 4;
    *kd = 1;
    *nrhs = 2;
    *ldab = 9;
    *ldb = 8;

    return;
}

/* Auxiliary functions: zpbtrs 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( 3.06431068920891250e+000,
                                        0.00000000000000000e+000 );
    ab[9] = lapack_make_complex_double( 1.11671395318950690e+000,
                                        0.00000000000000000e+000 );
    ab[18] = lapack_make_complex_double( 1.60663555873113610e+000,
                                         0.00000000000000000e+000 );
    ab[27] = lapack_make_complex_double( 4.28915067402645010e-001,
                                         0.00000000000000000e+000 );
    ab[1] = lapack_make_complex_double( 3.52444679909012350e-001,
                                        5.64564163187584510e-001 );
    ab[10] = lapack_make_complex_double( -3.58193787099676180e-002,
                                         -2.59690495647265210e-001 );
    ab[19] = lapack_make_complex_double( -2.05398167746655840e-001,
                                         -1.39421786591669420e+000 );
    ab[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 );
}

/* Auxiliary function: C interface to zpbtrs results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zpbtrs( 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;
}