zhegst_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zhegst_1 is the test program for the C interface to LAPACK
* routine zhegst
* 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_zhegst( lapack_int *itype, char *uplo, lapack_int *n,
                                 lapack_int *lda, lapack_int *ldb );
static void init_a( lapack_int size, lapack_complex_double *a );
static void init_b( lapack_int size, lapack_complex_double *b );
static int compare_zhegst( lapack_complex_double *a, lapack_complex_double *a_i,
                           lapack_int info, lapack_int info_i, lapack_int lda,
                           lapack_int n );

int main(void)
{
    /* Local scalars */
    lapack_int itype, itype_i;
    char uplo, uplo_i;
    lapack_int n, n_i;
    lapack_int lda, lda_i;
    lapack_int lda_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 *a = NULL, *a_i = NULL;
    lapack_complex_double *b = NULL, *b_i = NULL;
    lapack_complex_double *a_save = NULL;
    lapack_complex_double *a_r = NULL;
    lapack_complex_double *b_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zhegst( &itype, &uplo, &n, &lda, &ldb );
    lda_r = n+2;
    ldb_r = n+2;
    itype_i = itype;
    uplo_i = uplo;
    n_i = n;
    lda_i = lda;
    ldb_i = ldb;

    /* Allocate memory for the LAPACK routine arrays */
    a = (lapack_complex_double *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
    b = (lapack_complex_double *)
        LAPACKE_malloc( ldb*n * sizeof(lapack_complex_double) );

    /* Allocate memory for the C interface function arrays */
    a_i = (lapack_complex_double *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
    b_i = (lapack_complex_double *)
        LAPACKE_malloc( ldb*n * sizeof(lapack_complex_double) );

    /* Allocate memory for the backup arrays */
    a_save = (lapack_complex_double *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );

    /* Allocate memory for the row-major arrays */
    a_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(n+2) * sizeof(lapack_complex_double) );
    b_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(n+2) * sizeof(lapack_complex_double) );

    /* Initialize input arrays */
    init_a( lda*n, a );
    init_b( ldb*n, b );

    /* Backup the ouptut arrays */
    for( i = 0; i < lda*n; i++ ) {
        a_save[i] = a[i];
    }

    /* Call the LAPACK routine */
    zhegst_( &itype, &uplo, &n, a, &lda, b, &ldb, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a_save[i];
    }
    for( i = 0; i < ldb*n; i++ ) {
        b_i[i] = b[i];
    }
    info_i = LAPACKE_zhegst_work( LAPACK_COL_MAJOR, itype_i, uplo_i, n_i, a_i,
                                  lda_i, b_i, ldb_i );

    failed = compare_zhegst( a, a_i, info, info_i, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zhegst\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zhegst\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a_save[i];
    }
    for( i = 0; i < ldb*n; i++ ) {
        b_i[i] = b[i];
    }
    info_i = LAPACKE_zhegst( LAPACK_COL_MAJOR, itype_i, uplo_i, n_i, a_i, lda_i,
                             b_i, ldb_i );

    failed = compare_zhegst( a, a_i, info, info_i, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zhegst\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zhegst\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a_save[i];
    }
    for( i = 0; i < ldb*n; i++ ) {
        b_i[i] = b[i];
    }

    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, b_i, ldb, b_r, n+2 );
    info_i = LAPACKE_zhegst_work( LAPACK_ROW_MAJOR, itype_i, uplo_i, n_i, a_r,
                                  lda_r, b_r, ldb_r );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, a_r, n+2, a_i, lda );

    failed = compare_zhegst( a, a_i, info, info_i, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zhegst\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zhegst\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a_save[i];
    }
    for( i = 0; i < ldb*n; i++ ) {
        b_i[i] = b[i];
    }

    /* Init row_major arrays */
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, b_i, ldb, b_r, n+2 );
    info_i = LAPACKE_zhegst( LAPACK_ROW_MAJOR, itype_i, uplo_i, n_i, a_r, lda_r,
                             b_r, ldb_r );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, a_r, n+2, a_i, lda );

    failed = compare_zhegst( a, a_i, info, info_i, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zhegst\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zhegst\n" );
    }

    /* Release memory */
    if( a != NULL ) {
        LAPACKE_free( a );
    }
    if( a_i != NULL ) {
        LAPACKE_free( a_i );
    }
    if( a_r != NULL ) {
        LAPACKE_free( a_r );
    }
    if( a_save != NULL ) {
        LAPACKE_free( a_save );
    }
    if( b != NULL ) {
        LAPACKE_free( b );
    }
    if( b_i != NULL ) {
        LAPACKE_free( b_i );
    }
    if( b_r != NULL ) {
        LAPACKE_free( b_r );
    }

    return 0;
}

/* Auxiliary function: zhegst scalar parameters initialization */
static void init_scalars_zhegst( lapack_int *itype, char *uplo, lapack_int *n,
                                 lapack_int *lda, lapack_int *ldb )
{
    *itype = 1;
    *uplo = 'L';
    *n = 4;
    *lda = 8;
    *ldb = 8;

    return;
}

/* Auxiliary functions: zhegst array parameters initialization */
static void init_a( lapack_int size, lapack_complex_double *a ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        a[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    a[0] = lapack_make_complex_double( -7.36000000000000030e+000,
                                       0.00000000000000000e+000 );
    a[8] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    a[16] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    a[24] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    a[1] = lapack_make_complex_double( 7.70000000000000020e-001,
                                       4.29999999999999990e-001 );
    a[9] = lapack_make_complex_double( 3.49000000000000020e+000,
                                       0.00000000000000000e+000 );
    a[17] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    a[25] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    a[2] = lapack_make_complex_double( -6.40000000000000010e-001,
                                       9.20000000000000040e-001 );
    a[10] = lapack_make_complex_double( 2.18999999999999990e+000,
                                        -4.45000000000000020e+000 );
    a[18] = lapack_make_complex_double( 1.20000000000000000e-001,
                                        0.00000000000000000e+000 );
    a[26] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    a[3] = lapack_make_complex_double( 3.00999999999999980e+000,
                                       6.96999999999999980e+000 );
    a[11] = lapack_make_complex_double( 1.89999999999999990e+000,
                                        -3.73000000000000000e+000 );
    a[19] = lapack_make_complex_double( 2.87999999999999990e+000,
                                        3.16999999999999990e+000 );
    a[27] = lapack_make_complex_double( -2.54000000000000000e+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( 1.79722007556114290e+000,
                                       0.00000000000000000e+000 );
    b[8] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    b[16] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    b[24] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    b[1] = lapack_make_complex_double( 8.40186474952732460e-001,
                                       1.06831657742334190e+000 );
    b[9] = lapack_make_complex_double( 1.31635343950968520e+000,
                                       0.00000000000000000e+000 );
    b[17] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    b[25] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    b[2] = lapack_make_complex_double( 1.05718827974184860e+000,
                                       -4.67388502622712030e-001 );
    b[10] = lapack_make_complex_double( -4.70174947010632950e-001,
                                        3.13065815599946400e-001 );
    b[18] = lapack_make_complex_double( 1.56039297713712430e+000,
                                        0.00000000000000000e+000 );
    b[26] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    b[3] = lapack_make_complex_double( 2.33694251311356020e-001,
                                       -1.39103721018664310e+000 );
    b[11] = lapack_make_complex_double( 8.33525092394419580e-002,
                                        3.67607144303747430e-002 );
    b[19] = lapack_make_complex_double( 9.35961733792340160e-001,
                                        9.89969219281573660e-001 );
    b[27] = lapack_make_complex_double( 6.60333297365589100e-001,
                                        0.00000000000000000e+000 );
}

/* Auxiliary function: C interface to zhegst results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zhegst( lapack_complex_double *a, lapack_complex_double *a_i,
                           lapack_int info, lapack_int info_i, lapack_int lda,
                           lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < lda*n; i++ ) {
        failed += compare_complex_doubles(a[i],a_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;
}