zsteqr_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zsteqr_1 is the test program for the C interface to LAPACK
* routine zsteqr
* 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_zsteqr( char *compz, lapack_int *n, lapack_int *ldz );
static void init_d( lapack_int size, double *d );
static void init_e( lapack_int size, double *e );
static void init_z( lapack_int size, lapack_complex_double *z );
static void init_work( lapack_int size, double *work );
static int compare_zsteqr( double *d, double *d_i, double *e, double *e_i,
                           lapack_complex_double *z, lapack_complex_double *z_i,
                           lapack_int info, lapack_int info_i, char compz,
                           lapack_int ldz, lapack_int n );

int main(void)
{
    /* Local scalars */
    char compz, compz_i;
    lapack_int n, n_i;
    lapack_int ldz, ldz_i;
    lapack_int ldz_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    double *d = NULL, *d_i = NULL;
    double *e = NULL, *e_i = NULL;
    lapack_complex_double *z = NULL, *z_i = NULL;
    double *work = NULL, *work_i = NULL;
    double *d_save = NULL;
    double *e_save = NULL;
    lapack_complex_double *z_save = NULL;
    lapack_complex_double *z_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zsteqr( &compz, &n, &ldz );
    ldz_r = n+2;
    compz_i = compz;
    n_i = n;
    ldz_i = ldz;

    /* Allocate memory for the LAPACK routine arrays */
    d = (double *)LAPACKE_malloc( n * sizeof(double) );
    e = (double *)LAPACKE_malloc( (n-1) * sizeof(double) );
    z = (lapack_complex_double *)
        LAPACKE_malloc( ldz*n * sizeof(lapack_complex_double) );
    work = (double *)LAPACKE_malloc( ((MAX(1,2*n-2))) * sizeof(double) );

    /* Allocate memory for the C interface function arrays */
    d_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    e_i = (double *)LAPACKE_malloc( (n-1) * sizeof(double) );
    z_i = (lapack_complex_double *)
        LAPACKE_malloc( ldz*n * sizeof(lapack_complex_double) );
    work_i = (double *)LAPACKE_malloc( ((MAX(1,2*n-2))) * sizeof(double) );

    /* Allocate memory for the backup arrays */
    d_save = (double *)LAPACKE_malloc( n * sizeof(double) );
    e_save = (double *)LAPACKE_malloc( (n-1) * sizeof(double) );
    z_save = (lapack_complex_double *)
        LAPACKE_malloc( ldz*n * sizeof(lapack_complex_double) );

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

    /* Initialize input arrays */
    init_d( n, d );
    init_e( (n-1), e );
    init_z( ldz*n, z );
    init_work( (MAX(1,2*n-2)), work );

    /* Backup the ouptut arrays */
    for( i = 0; i < n; i++ ) {
        d_save[i] = d[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_save[i] = e[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_save[i] = z[i];
    }

    /* Call the LAPACK routine */
    zsteqr_( &compz, &n, d, e, z, &ldz, work, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < (MAX(1,2*n-2)); i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zsteqr_work( LAPACK_COL_MAJOR, compz_i, n_i, d_i, e_i, z_i,
                                  ldz_i, work_i );

    failed = compare_zsteqr( d, d_i, e, e_i, z, z_i, info, info_i, compz, ldz,
                             n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zsteqr\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zsteqr\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < (MAX(1,2*n-2)); i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zsteqr( LAPACK_COL_MAJOR, compz_i, n_i, d_i, e_i, z_i,
                             ldz_i );

    failed = compare_zsteqr( d, d_i, e, e_i, z, z_i, info, info_i, compz, ldz,
                             n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zsteqr\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zsteqr\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < (MAX(1,2*n-2)); i++ ) {
        work_i[i] = work[i];
    }

    if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, z_i, ldz, z_r, n+2 );
    }
    info_i = LAPACKE_zsteqr_work( LAPACK_ROW_MAJOR, compz_i, n_i, d_i, e_i, z_r,
                                  ldz_r, work_i );

    if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, z_r, n+2, z_i, ldz );
    }

    failed = compare_zsteqr( d, d_i, e, e_i, z, z_i, info, info_i, compz, ldz,
                             n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zsteqr\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zsteqr\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < (MAX(1,2*n-2)); i++ ) {
        work_i[i] = work[i];
    }

    /* Init row_major arrays */
    if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, z_i, ldz, z_r, n+2 );
    }
    info_i = LAPACKE_zsteqr( LAPACK_ROW_MAJOR, compz_i, n_i, d_i, e_i, z_r,
                             ldz_r );

    if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, z_r, n+2, z_i, ldz );
    }

    failed = compare_zsteqr( d, d_i, e, e_i, z, z_i, info, info_i, compz, ldz,
                             n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zsteqr\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zsteqr\n" );
    }

    /* Release memory */
    if( d != NULL ) {
        LAPACKE_free( d );
    }
    if( d_i != NULL ) {
        LAPACKE_free( d_i );
    }
    if( d_save != NULL ) {
        LAPACKE_free( d_save );
    }
    if( e != NULL ) {
        LAPACKE_free( e );
    }
    if( e_i != NULL ) {
        LAPACKE_free( e_i );
    }
    if( e_save != NULL ) {
        LAPACKE_free( e_save );
    }
    if( z != NULL ) {
        LAPACKE_free( z );
    }
    if( z_i != NULL ) {
        LAPACKE_free( z_i );
    }
    if( z_r != NULL ) {
        LAPACKE_free( z_r );
    }
    if( z_save != NULL ) {
        LAPACKE_free( z_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }

    return 0;
}

/* Auxiliary function: zsteqr scalar parameters initialization */
static void init_scalars_zsteqr( char *compz, lapack_int *n, lapack_int *ldz )
{
    *compz = 'V';
    *n = 4;
    *ldz = 8;

    return;
}

/* Auxiliary functions: zsteqr array parameters initialization */
static void init_d( lapack_int size, double *d ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        d[i] = 0;
    }
    d[0] = -3.12999999999999990e+000;
    d[1] = -1.28529412358999970e+000;
    d[2] = -9.96182311130363040e-001;
    d[3] = -1.99852356527963650e+000;
}
static void init_e( lapack_int size, double *e ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        e[i] = 0;
    }
    e[0] = 4.44928084076516760e+000;
    e[1] = 1.70024089342619720e+000;
    e[2] = 2.51436922373390900e+000;
}
static void init_z( lapack_int size, lapack_complex_double *z ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        z[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    z[0] = lapack_make_complex_double( 1.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    z[8] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    z[16] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    z[24] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    z[1] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    z[9] = lapack_make_complex_double( 4.36025521748446720e-001,
                                       4.71986389521514450e-001 );
    z[17] = lapack_make_complex_double( 1.78928959228092960e-001,
                                        2.53688817943656220e-001 );
    z[25] = lapack_make_complex_double( -6.19244921913788770e-001,
                                        -3.27525159910391330e-001 );
    z[2] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    z[10] = lapack_make_complex_double( -7.64168440177690030e-001,
                                        -5.61888558954184440e-002 );
    z[18] = lapack_make_complex_double( 2.54889412955756730e-001,
                                        5.29787781384226800e-002 );
    z[26] = lapack_make_complex_double( -5.66945410036717170e-001,
                                        1.53905639201064040e-001 );
    z[3] = lapack_make_complex_double( 0.00000000000000000e+000,
                                       0.00000000000000000e+000 );
    z[11] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    z[19] = lapack_make_complex_double( 8.71689547000420230e-001,
                                        -2.75696175309222580e-001 );
    z[27] = lapack_make_complex_double( 2.89072065417935340e-001,
                                        -2.83877250876285510e-001 );
}
static void init_work( lapack_int size, double *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = 0;
    }
}

/* Auxiliary function: C interface to zsteqr results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zsteqr( double *d, double *d_i, double *e, double *e_i,
                           lapack_complex_double *z, lapack_complex_double *z_i,
                           lapack_int info, lapack_int info_i, char compz,
                           lapack_int ldz, lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < n; i++ ) {
        failed += compare_doubles(d[i],d_i[i]);
    }
    for( i = 0; i < (n-1); i++ ) {
        failed += compare_doubles(e[i],e_i[i]);
    }
    if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
        for( i = 0; i < ldz*n; i++ ) {
            failed += compare_complex_doubles(z[i],z_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;
}