zhptrs_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zhptrs_1 is the test program for the C interface to LAPACK
* routine zhptrs
* 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_zhptrs( char *uplo, lapack_int *n, lapack_int *nrhs,
                                 lapack_int *ldb );
static void init_ap( lapack_int size, lapack_complex_double *ap );
static void init_ipiv( lapack_int size, lapack_int *ipiv );
static void init_b( lapack_int size, lapack_complex_double *b );
static int compare_zhptrs( 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 nrhs, nrhs_i;
    lapack_int ldb, ldb_i;
    lapack_int ldb_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_complex_double *ap = NULL, *ap_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 *ap_r = NULL;
    lapack_complex_double *b_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zhptrs( &uplo, &n, &nrhs, &ldb );
    ldb_r = nrhs+2;
    uplo_i = uplo;
    n_i = n;
    nrhs_i = nrhs;
    ldb_i = ldb;

    /* Allocate memory for the LAPACK routine arrays */
    ap = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * 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 */
    ap_i = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * 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 */
    ap_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(n+1)/2 * sizeof(lapack_complex_double) );
    b_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(nrhs+2) * sizeof(lapack_complex_double) );

    /* Initialize input arrays */
    init_ap( (n*(n+1)/2), ap );
    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 */
    zhptrs_( &uplo, &n, &nrhs, ap, 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 < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[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_zhptrs_work( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, ap_i,
                                  ipiv_i, b_i, ldb_i );

    failed = compare_zhptrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zhptrs\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zhptrs\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[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_zhptrs( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, ap_i,
                             ipiv_i, b_i, ldb_i );

    failed = compare_zhptrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zhptrs\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zhptrs\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[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_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    info_i = LAPACKE_zhptrs_work( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, ap_r,
                                  ipiv_i, b_r, ldb_r );

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

    failed = compare_zhptrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zhptrs\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zhptrs\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[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_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    info_i = LAPACKE_zhptrs( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, ap_r,
                             ipiv_i, b_r, ldb_r );

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

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

    return;
}

/* Auxiliary functions: zhptrs 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( -1.36000000000000010e+000,
                                        0.00000000000000000e+000 );
    ap[1] = lapack_make_complex_double( 3.91000000000000010e+000,
                                        -1.50000000000000000e+000 );
    ap[2] = lapack_make_complex_double( 3.10028798127124030e-001,
                                        4.33302074396270180e-002 );
    ap[3] = lapack_make_complex_double( -1.51812020724010200e-001,
                                        3.74295842561370500e-001 );
    ap[4] = lapack_make_complex_double( -1.84000000000000010e+000,
                                        0.00000000000000000e+000 );
    ap[5] = lapack_make_complex_double( 5.63705048650877560e-001,
                                        2.85034950151971610e-001 );
    ap[6] = lapack_make_complex_double( 3.39658279960360960e-001,
                                        3.03145181135563540e-002 );
    ap[7] = lapack_make_complex_double( -5.41762438729157920e+000,
                                        0.00000000000000000e+000 );
    ap[8] = lapack_make_complex_double( 2.99724464607583510e-001,
                                        1.57826837278577770e-001 );
    ap[9] = lapack_make_complex_double( -7.10280989580184220e+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] = -4;
    ipiv[1] = -4;
    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( 7.79000000000000000e+000,
                                       5.48000000000000040e+000 );
    b[8] = lapack_make_complex_double( -3.53900000000000010e+001,
                                       1.80100000000000020e+001 );
    b[1] = lapack_make_complex_double( -7.70000000000000020e-001,
                                       -1.60500000000000010e+001 );
    b[9] = lapack_make_complex_double( 4.23000000000000040e+000,
                                       -7.00199999999999960e+001 );
    b[2] = lapack_make_complex_double( -9.58000000000000010e+000,
                                       3.87999999999999990e+000 );
    b[10] = lapack_make_complex_double( -2.47899999999999990e+001,
                                        -8.40000000000000040e+000 );
    b[3] = lapack_make_complex_double( 2.98000000000000000e+000,
                                       -1.01800000000000000e+001 );
    b[11] = lapack_make_complex_double( 2.86800000000000000e+001,
                                        -3.98900000000000010e+001 );
}

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