dhseqr_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* dhseqr_1 is the test program for the C interface to LAPACK
* routine dhseqr
* 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_dhseqr( char *job, char *compz, lapack_int *n,
                                 lapack_int *ilo, lapack_int *ihi,
                                 lapack_int *ldh, lapack_int *ldz,
                                 lapack_int *lwork );
static void init_h( lapack_int size, double *h );
static void init_wr( lapack_int size, double *wr );
static void init_wi( lapack_int size, double *wi );
static void init_z( lapack_int size, double *z );
static void init_work( lapack_int size, double *work );
static int compare_dhseqr( double *h, double *h_i, double *wr, double *wr_i,
                           double *wi, double *wi_i, double *z, double *z_i,
                           lapack_int info, lapack_int info_i, char compz,
                           lapack_int ldh, lapack_int ldz, lapack_int n );

int main(void)
{
    /* Local scalars */
    char job, job_i;
    char compz, compz_i;
    lapack_int n, n_i;
    lapack_int ilo, ilo_i;
    lapack_int ihi, ihi_i;
    lapack_int ldh, ldh_i;
    lapack_int ldh_r;
    lapack_int ldz, ldz_i;
    lapack_int ldz_r;
    lapack_int lwork, lwork_i;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    double *h = NULL, *h_i = NULL;
    double *wr = NULL, *wr_i = NULL;
    double *wi = NULL, *wi_i = NULL;
    double *z = NULL, *z_i = NULL;
    double *work = NULL, *work_i = NULL;
    double *h_save = NULL;
    double *wr_save = NULL;
    double *wi_save = NULL;
    double *z_save = NULL;
    double *h_r = NULL;
    double *z_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_dhseqr( &job, &compz, &n, &ilo, &ihi, &ldh, &ldz, &lwork );
    ldh_r = n+2;
    ldz_r = n+2;
    job_i = job;
    compz_i = compz;
    n_i = n;
    ilo_i = ilo;
    ihi_i = ihi;
    ldh_i = ldh;
    ldz_i = ldz;
    lwork_i = lwork;

    /* Allocate memory for the LAPACK routine arrays */
    h = (double *)LAPACKE_malloc( ldh*n * sizeof(double) );
    wr = (double *)LAPACKE_malloc( n * sizeof(double) );
    wi = (double *)LAPACKE_malloc( n * sizeof(double) );
    z = (double *)LAPACKE_malloc( ldz*n * sizeof(double) );
    work = (double *)LAPACKE_malloc( lwork * sizeof(double) );

    /* Allocate memory for the C interface function arrays */
    h_i = (double *)LAPACKE_malloc( ldh*n * sizeof(double) );
    wr_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    wi_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    z_i = (double *)LAPACKE_malloc( ldz*n * sizeof(double) );
    work_i = (double *)LAPACKE_malloc( lwork * sizeof(double) );

    /* Allocate memory for the backup arrays */
    h_save = (double *)LAPACKE_malloc( ldh*n * sizeof(double) );
    wr_save = (double *)LAPACKE_malloc( n * sizeof(double) );
    wi_save = (double *)LAPACKE_malloc( n * sizeof(double) );
    z_save = (double *)LAPACKE_malloc( ldz*n * sizeof(double) );

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

    /* Initialize input arrays */
    init_h( ldh*n, h );
    init_wr( n, wr );
    init_wi( n, wi );
    init_z( ldz*n, z );
    init_work( lwork, work );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldh*n; i++ ) {
        h_save[i] = h[i];
    }
    for( i = 0; i < n; i++ ) {
        wr_save[i] = wr[i];
    }
    for( i = 0; i < n; i++ ) {
        wi_save[i] = wi[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_save[i] = z[i];
    }

    /* Call the LAPACK routine */
    dhseqr_( &job, &compz, &n, &ilo, &ihi, h, &ldh, wr, wi, z, &ldz, work,
             &lwork, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldh*n; i++ ) {
        h_i[i] = h_save[i];
    }
    for( i = 0; i < n; i++ ) {
        wr_i[i] = wr_save[i];
    }
    for( i = 0; i < n; i++ ) {
        wi_i[i] = wi_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_dhseqr_work( LAPACK_COL_MAJOR, job_i, compz_i, n_i, ilo_i,
                                  ihi_i, h_i, ldh_i, wr_i, wi_i, z_i, ldz_i,
                                  work_i, lwork_i );

    failed = compare_dhseqr( h, h_i, wr, wr_i, wi, wi_i, z, z_i, info, info_i,
                             compz, ldh, ldz, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to dhseqr\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to dhseqr\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldh*n; i++ ) {
        h_i[i] = h_save[i];
    }
    for( i = 0; i < n; i++ ) {
        wr_i[i] = wr_save[i];
    }
    for( i = 0; i < n; i++ ) {
        wi_i[i] = wi_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_dhseqr( LAPACK_COL_MAJOR, job_i, compz_i, n_i, ilo_i,
                             ihi_i, h_i, ldh_i, wr_i, wi_i, z_i, ldz_i );

    failed = compare_dhseqr( h, h_i, wr, wr_i, wi, wi_i, z, z_i, info, info_i,
                             compz, ldh, ldz, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to dhseqr\n" );
    } else {
        printf( "FAILED: column-major high-level interface to dhseqr\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldh*n; i++ ) {
        h_i[i] = h_save[i];
    }
    for( i = 0; i < n; i++ ) {
        wr_i[i] = wr_save[i];
    }
    for( i = 0; i < n; i++ ) {
        wi_i[i] = wi_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }

    LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, h_i, ldh, h_r, n+2 );
    if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, z_i, ldz, z_r, n+2 );
    }
    info_i = LAPACKE_dhseqr_work( LAPACK_ROW_MAJOR, job_i, compz_i, n_i, ilo_i,
                                  ihi_i, h_r, ldh_r, wr_i, wi_i, z_r, ldz_r,
                                  work_i, lwork_i );

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

    failed = compare_dhseqr( h, h_i, wr, wr_i, wi, wi_i, z, z_i, info, info_i,
                             compz, ldh, ldz, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to dhseqr\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to dhseqr\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < ldh*n; i++ ) {
        h_i[i] = h_save[i];
    }
    for( i = 0; i < n; i++ ) {
        wr_i[i] = wr_save[i];
    }
    for( i = 0; i < n; i++ ) {
        wi_i[i] = wi_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }

    /* Init row_major arrays */
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, h_i, ldh, h_r, n+2 );
    if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, z_i, ldz, z_r, n+2 );
    }
    info_i = LAPACKE_dhseqr( LAPACK_ROW_MAJOR, job_i, compz_i, n_i, ilo_i,
                             ihi_i, h_r, ldh_r, wr_i, wi_i, z_r, ldz_r );

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

    failed = compare_dhseqr( h, h_i, wr, wr_i, wi, wi_i, z, z_i, info, info_i,
                             compz, ldh, ldz, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to dhseqr\n" );
    } else {
        printf( "FAILED: row-major high-level interface to dhseqr\n" );
    }

    /* Release memory */
    if( h != NULL ) {
        LAPACKE_free( h );
    }
    if( h_i != NULL ) {
        LAPACKE_free( h_i );
    }
    if( h_r != NULL ) {
        LAPACKE_free( h_r );
    }
    if( h_save != NULL ) {
        LAPACKE_free( h_save );
    }
    if( wr != NULL ) {
        LAPACKE_free( wr );
    }
    if( wr_i != NULL ) {
        LAPACKE_free( wr_i );
    }
    if( wr_save != NULL ) {
        LAPACKE_free( wr_save );
    }
    if( wi != NULL ) {
        LAPACKE_free( wi );
    }
    if( wi_i != NULL ) {
        LAPACKE_free( wi_i );
    }
    if( wi_save != NULL ) {
        LAPACKE_free( wi_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: dhseqr scalar parameters initialization */
static void init_scalars_dhseqr( char *job, char *compz, lapack_int *n,
                                 lapack_int *ilo, lapack_int *ihi,
                                 lapack_int *ldh, lapack_int *ldz,
                                 lapack_int *lwork )
{
    *job = 'S';
    *compz = 'V';
    *n = 4;
    *ilo = 2;
    *ihi = 4;
    *ldh = 8;
    *ldz = 8;
    *lwork = 512;

    return;
}

/* Auxiliary functions: dhseqr array parameters initialization */
static void init_h( lapack_int size, double *h ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        h[i] = 0;
    }
    h[0] = -4.00000000000000020e-001;  /* h[0,0] */
    h[8] = 3.20000000000000020e+000;  /* h[0,1] */
    h[16] = -9.22503046669019610e-001;  /* h[0,2] */
    h[24] = -7.69148803086154140e+000;  /* h[0,3] */
    h[1] = 0.00000000000000000e+000;  /* h[1,0] */
    h[9] = 2.00000000000000010e-001;  /* h[1,1] */
    h[17] = -4.38260274722939160e+000;  /* h[1,2] */
    h[25] = 4.67492684410557580e-001;  /* h[1,3] */
    h[2] = 0.00000000000000000e+000;  /* h[2,0] */
    h[10] = -2.94416371827383250e+000;  /* h[2,1] */
    h[18] = -8.93239118145844560e-001;  /* h[2,2] */
    h[26] = -6.79197286602599700e-001;  /* h[2,3] */
    h[3] = 0.00000000000000000e+000;  /* h[3,0] */
    h[11] = 7.26487042240654410e-001;  /* h[3,1] */
    h[19] = -2.13919728660259920e+000;  /* h[3,2] */
    h[27] = 6.69323911814584530e+000;  /* h[3,3] */
}
static void init_wr( lapack_int size, double *wr ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        wr[i] = 0;
    }
}
static void init_wi( lapack_int size, double *wi ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        wi[i] = 0;
    }
}
static void init_z( lapack_int size, double *z ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        z[i] = 0;
    }
    z[0] = 1.00000000000000000e+000;  /* z[0,0] */
    z[8] = 0.00000000000000000e+000;  /* z[0,1] */
    z[16] = 0.00000000000000000e+000;  /* z[0,2] */
    z[24] = 0.00000000000000000e+000;  /* z[0,3] */
    z[1] = 0.00000000000000000e+000;  /* z[1,0] */
    z[9] = 1.00000000000000000e+000;  /* z[1,1] */
    z[17] = 0.00000000000000000e+000;  /* z[1,2] */
    z[25] = 0.00000000000000000e+000;  /* z[1,3] */
    z[2] = 0.00000000000000000e+000;  /* z[2,0] */
    z[10] = 0.00000000000000000e+000;  /* z[2,1] */
    z[18] = -3.09086072337558140e-001;  /* z[2,2] */
    z[26] = -9.51034068730947980e-001;  /* z[2,3] */
    z[3] = 0.00000000000000000e+000;  /* z[3,0] */
    z[11] = 0.00000000000000000e+000;  /* z[3,1] */
    z[19] = -9.51034068730947980e-001;  /* z[3,2] */
    z[27] = 3.09086072337558360e-001;  /* z[3,3] */
}
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 dhseqr results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_dhseqr( double *h, double *h_i, double *wr, double *wr_i,
                           double *wi, double *wi_i, double *z, double *z_i,
                           lapack_int info, lapack_int info_i, char compz,
                           lapack_int ldh, lapack_int ldz, lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldh*n; i++ ) {
        failed += compare_doubles(h[i],h_i[i]);
    }
    for( i = 0; i < n; i++ ) {
        failed += compare_doubles(wr[i],wr_i[i]);
    }
    for( i = 0; i < n; i++ ) {
        failed += compare_doubles(wi[i],wi_i[i]);
    }
    if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
        for( i = 0; i < ldz*n; i++ ) {
            failed += compare_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;
}