chegst_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* chegst_1 is the test program for the C interface to LAPACK
* routine chegst
* 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_chegst( lapack_int *itype, char *uplo, lapack_int *n,
                                 lapack_int *lda, lapack_int *ldb );
static void init_a( lapack_int size, lapack_complex_float *a );
static void init_b( lapack_int size, lapack_complex_float *b );
static int compare_chegst( lapack_complex_float *a, lapack_complex_float *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_float *a = NULL, *a_i = NULL;
    lapack_complex_float *b = NULL, *b_i = NULL;
    lapack_complex_float *a_save = NULL;
    lapack_complex_float *a_r = NULL;
    lapack_complex_float *b_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_chegst( &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_float *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_float) );
    b = (lapack_complex_float *)
        LAPACKE_malloc( ldb*n * sizeof(lapack_complex_float) );

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

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

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

    /* 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 */
    chegst_( &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_chegst_work( LAPACK_COL_MAJOR, itype_i, uplo_i, n_i, a_i,
                                  lda_i, b_i, ldb_i );

    failed = compare_chegst( a, a_i, info, info_i, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to chegst\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to chegst\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_chegst( LAPACK_COL_MAJOR, itype_i, uplo_i, n_i, a_i, lda_i,
                             b_i, ldb_i );

    failed = compare_chegst( a, a_i, info, info_i, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to chegst\n" );
    } else {
        printf( "FAILED: column-major high-level interface to chegst\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_cge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
    LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, b_i, ldb, b_r, n+2 );
    info_i = LAPACKE_chegst_work( LAPACK_ROW_MAJOR, itype_i, uplo_i, n_i, a_r,
                                  lda_r, b_r, ldb_r );

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

    failed = compare_chegst( a, a_i, info, info_i, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to chegst\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to chegst\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_cge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
    LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, b_i, ldb, b_r, n+2 );
    info_i = LAPACKE_chegst( LAPACK_ROW_MAJOR, itype_i, uplo_i, n_i, a_r, lda_r,
                             b_r, ldb_r );

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

    failed = compare_chegst( a, a_i, info, info_i, lda, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to chegst\n" );
    } else {
        printf( "FAILED: row-major high-level interface to chegst\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: chegst scalar parameters initialization */
static void init_scalars_chegst( 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: chegst array parameters initialization */
static void init_a( lapack_int size, lapack_complex_float *a ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        a[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
    a[0] = lapack_make_complex_float( -7.360000134e+000, 0.000000000e+000 );
    a[8] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    a[16] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    a[24] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    a[1] = lapack_make_complex_float( 7.699999809e-001, 4.300000072e-001 );
    a[9] = lapack_make_complex_float( 3.490000010e+000, 0.000000000e+000 );
    a[17] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    a[25] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    a[2] = lapack_make_complex_float( -6.399999857e-001, 9.200000167e-001 );
    a[10] = lapack_make_complex_float( 2.190000057e+000, -4.449999809e+000 );
    a[18] = lapack_make_complex_float( 1.199999973e-001, 0.000000000e+000 );
    a[26] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    a[3] = lapack_make_complex_float( 3.009999990e+000, 6.969999790e+000 );
    a[11] = lapack_make_complex_float( 1.899999976e+000, -3.730000019e+000 );
    a[19] = lapack_make_complex_float( 2.880000114e+000, 3.170000076e+000 );
    a[27] = lapack_make_complex_float( -2.539999962e+000, 0.000000000e+000 );
}
static void init_b( lapack_int size, lapack_complex_float *b ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        b[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
    b[0] = lapack_make_complex_float( 1.797220111e+000, 0.000000000e+000 );
    b[8] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    b[16] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    b[24] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    b[1] = lapack_make_complex_float( 8.401864767e-001, 1.068316579e+000 );
    b[9] = lapack_make_complex_float( 1.316353440e+000, 0.000000000e+000 );
    b[17] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    b[25] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    b[2] = lapack_make_complex_float( 1.057188272e+000, -4.673885107e-001 );
    b[10] = lapack_make_complex_float( -4.701749086e-001, 3.130658567e-001 );
    b[18] = lapack_make_complex_float( 1.560392976e+000, 0.000000000e+000 );
    b[26] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    b[3] = lapack_make_complex_float( 2.336942554e-001, -1.391037226e+000 );
    b[11] = lapack_make_complex_float( 8.335255086e-002, 3.676066548e-002 );
    b[19] = lapack_make_complex_float( 9.359616637e-001, 9.899691939e-001 );
    b[27] = lapack_make_complex_float( 6.603333950e-001, 0.000000000e+000 );
}

/* Auxiliary function: C interface to chegst results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_chegst( lapack_complex_float *a, lapack_complex_float *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_floats(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;
}