zbdsqr_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zbdsqr_1 is the test program for the C interface to LAPACK
* routine zbdsqr
* 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_zbdsqr( char *uplo, lapack_int *n, lapack_int *ncvt,
                                 lapack_int *nru, lapack_int *ncc,
                                 lapack_int *ldvt, lapack_int *ldu,
                                 lapack_int *ldc );
static void init_d( lapack_int size, double *d );
static void init_e( lapack_int size, double *e );
static void init_vt( lapack_int size, lapack_complex_double *vt );
static void init_u( lapack_int size, lapack_complex_double *u );
static void init_c( lapack_int size, lapack_complex_double *c );
static void init_work( lapack_int size, double *work );
static int compare_zbdsqr( double *d, double *d_i, double *e, double *e_i,
                           lapack_complex_double *vt,
                           lapack_complex_double *vt_i,
                           lapack_complex_double *u, lapack_complex_double *u_i,
                           lapack_complex_double *c, lapack_complex_double *c_i,
                           lapack_int info, lapack_int info_i, lapack_int ldc,
                           lapack_int ldu, lapack_int ldvt, lapack_int n,
                           lapack_int ncc, lapack_int ncvt, lapack_int nru );

int main(void)
{
    /* Local scalars */
    char uplo, uplo_i;
    lapack_int n, n_i;
    lapack_int ncvt, ncvt_i;
    lapack_int nru, nru_i;
    lapack_int ncc, ncc_i;
    lapack_int ldvt, ldvt_i;
    lapack_int ldvt_r;
    lapack_int ldu, ldu_i;
    lapack_int ldu_r;
    lapack_int ldc, ldc_i;
    lapack_int ldc_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 *vt = NULL, *vt_i = NULL;
    lapack_complex_double *u = NULL, *u_i = NULL;
    lapack_complex_double *c = NULL, *c_i = NULL;
    double *work = NULL, *work_i = NULL;
    double *d_save = NULL;
    double *e_save = NULL;
    lapack_complex_double *vt_save = NULL;
    lapack_complex_double *u_save = NULL;
    lapack_complex_double *c_save = NULL;
    lapack_complex_double *vt_r = NULL;
    lapack_complex_double *u_r = NULL;
    lapack_complex_double *c_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zbdsqr( &uplo, &n, &ncvt, &nru, &ncc, &ldvt, &ldu, &ldc );
    ldvt_r = ncvt+2;
    ldu_r = n+2;
    ldc_r = ncc+2;
    uplo_i = uplo;
    n_i = n;
    ncvt_i = ncvt;
    nru_i = nru;
    ncc_i = ncc;
    ldvt_i = ldvt;
    ldu_i = ldu;
    ldc_i = ldc;

    /* Allocate memory for the LAPACK routine arrays */
    d = (double *)LAPACKE_malloc( n * sizeof(double) );
    e = (double *)LAPACKE_malloc( n * sizeof(double) );
    vt = (lapack_complex_double *)
        LAPACKE_malloc( ldvt*ncvt * sizeof(lapack_complex_double) );
    u = (lapack_complex_double *)
        LAPACKE_malloc( ldu*n * sizeof(lapack_complex_double) );
    c = (lapack_complex_double *)
        LAPACKE_malloc( ldc*ncc * sizeof(lapack_complex_double) );
    work = (double *)LAPACKE_malloc( 4*n * sizeof(double) );

    /* Allocate memory for the C interface function arrays */
    d_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    e_i = (double *)LAPACKE_malloc( n * sizeof(double) );
    vt_i = (lapack_complex_double *)
        LAPACKE_malloc( ldvt*ncvt * sizeof(lapack_complex_double) );
    u_i = (lapack_complex_double *)
        LAPACKE_malloc( ldu*n * sizeof(lapack_complex_double) );
    c_i = (lapack_complex_double *)
        LAPACKE_malloc( ldc*ncc * sizeof(lapack_complex_double) );
    work_i = (double *)LAPACKE_malloc( 4*n * sizeof(double) );

    /* Allocate memory for the backup arrays */
    d_save = (double *)LAPACKE_malloc( n * sizeof(double) );
    e_save = (double *)LAPACKE_malloc( n * sizeof(double) );
    vt_save = (lapack_complex_double *)
        LAPACKE_malloc( ldvt*ncvt * sizeof(lapack_complex_double) );
    u_save = (lapack_complex_double *)
        LAPACKE_malloc( ldu*n * sizeof(lapack_complex_double) );
    c_save = (lapack_complex_double *)
        LAPACKE_malloc( ldc*ncc * sizeof(lapack_complex_double) );

    /* Allocate memory for the row-major arrays */
    vt_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(ncvt+2) * sizeof(lapack_complex_double) );
    u_r = (lapack_complex_double *)
        LAPACKE_malloc( nru*(n+2) * sizeof(lapack_complex_double) );
    c_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(ncc+2) * sizeof(lapack_complex_double) );

    /* Initialize input arrays */
    init_d( n, d );
    init_e( n, e );
    init_vt( ldvt*ncvt, vt );
    init_u( ldu*n, u );
    init_c( ldc*ncc, c );
    init_work( 4*n, work );

    /* Backup the ouptut arrays */
    for( i = 0; i < n; i++ ) {
        d_save[i] = d[i];
    }
    for( i = 0; i < n; i++ ) {
        e_save[i] = e[i];
    }
    for( i = 0; i < ldvt*ncvt; i++ ) {
        vt_save[i] = vt[i];
    }
    for( i = 0; i < ldu*n; i++ ) {
        u_save[i] = u[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_save[i] = c[i];
    }

    /* Call the LAPACK routine */
    zbdsqr_( &uplo, &n, &ncvt, &nru, &ncc, d, e, vt, &ldvt, u, &ldu, c, &ldc,
             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; i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldvt*ncvt; i++ ) {
        vt_i[i] = vt_save[i];
    }
    for( i = 0; i < ldu*n; i++ ) {
        u_i[i] = u_save[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < 4*n; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zbdsqr_work( LAPACK_COL_MAJOR, uplo_i, n_i, ncvt_i, nru_i,
                                  ncc_i, d_i, e_i, vt_i, ldvt_i, u_i, ldu_i,
                                  c_i, ldc_i, work_i );

    failed = compare_zbdsqr( d, d_i, e, e_i, vt, vt_i, u, u_i, c, c_i, info,
                             info_i, ldc, ldu, ldvt, n, ncc, ncvt, nru );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zbdsqr\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zbdsqr\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; i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldvt*ncvt; i++ ) {
        vt_i[i] = vt_save[i];
    }
    for( i = 0; i < ldu*n; i++ ) {
        u_i[i] = u_save[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < 4*n; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zbdsqr( LAPACK_COL_MAJOR, uplo_i, n_i, ncvt_i, nru_i,
                             ncc_i, d_i, e_i, vt_i, ldvt_i, u_i, ldu_i, c_i,
                             ldc_i );

    failed = compare_zbdsqr( d, d_i, e, e_i, vt, vt_i, u, u_i, c, c_i, info,
                             info_i, ldc, ldu, ldvt, n, ncc, ncvt, nru );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zbdsqr\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zbdsqr\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; i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldvt*ncvt; i++ ) {
        vt_i[i] = vt_save[i];
    }
    for( i = 0; i < ldu*n; i++ ) {
        u_i[i] = u_save[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < 4*n; i++ ) {
        work_i[i] = work[i];
    }

    if( ncvt != 0 ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, ncvt, vt_i, ldvt, vt_r,
                           ncvt+2 );
    }
    if( nru != 0 ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, nru, n, u_i, ldu, u_r, n+2 );
    }
    if( ncc != 0 ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, ncc, c_i, ldc, c_r, ncc+2 );
    }
    info_i = LAPACKE_zbdsqr_work( LAPACK_ROW_MAJOR, uplo_i, n_i, ncvt_i, nru_i,
                                  ncc_i, d_i, e_i, vt_r, ldvt_r, u_r, ldu_r,
                                  c_r, ldc_r, work_i );

    if( ncvt != 0 ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, ncvt, vt_r, ncvt+2, vt_i,
                           ldvt );
    }
    if( nru != 0 ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, nru, n, u_r, n+2, u_i, ldu );
    }
    if( ncc != 0 ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, ncc, c_r, ncc+2, c_i, ldc );
    }

    failed = compare_zbdsqr( d, d_i, e, e_i, vt, vt_i, u, u_i, c, c_i, info,
                             info_i, ldc, ldu, ldvt, n, ncc, ncvt, nru );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zbdsqr\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zbdsqr\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; i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldvt*ncvt; i++ ) {
        vt_i[i] = vt_save[i];
    }
    for( i = 0; i < ldu*n; i++ ) {
        u_i[i] = u_save[i];
    }
    for( i = 0; i < ldc*ncc; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < 4*n; i++ ) {
        work_i[i] = work[i];
    }

    /* Init row_major arrays */
    if( ncvt != 0 ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, ncvt, vt_i, ldvt, vt_r,
                           ncvt+2 );
    }
    if( nru != 0 ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, nru, n, u_i, ldu, u_r, n+2 );
    }
    if( ncc != 0 ) {
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, ncc, c_i, ldc, c_r, ncc+2 );
    }
    info_i = LAPACKE_zbdsqr( LAPACK_ROW_MAJOR, uplo_i, n_i, ncvt_i, nru_i,
                             ncc_i, d_i, e_i, vt_r, ldvt_r, u_r, ldu_r, c_r,
                             ldc_r );

    if( ncvt != 0 ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, ncvt, vt_r, ncvt+2, vt_i,
                           ldvt );
    }
    if( nru != 0 ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, nru, n, u_r, n+2, u_i, ldu );
    }
    if( ncc != 0 ) {
        LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, ncc, c_r, ncc+2, c_i, ldc );
    }

    failed = compare_zbdsqr( d, d_i, e, e_i, vt, vt_i, u, u_i, c, c_i, info,
                             info_i, ldc, ldu, ldvt, n, ncc, ncvt, nru );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zbdsqr\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zbdsqr\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( vt != NULL ) {
        LAPACKE_free( vt );
    }
    if( vt_i != NULL ) {
        LAPACKE_free( vt_i );
    }
    if( vt_r != NULL ) {
        LAPACKE_free( vt_r );
    }
    if( vt_save != NULL ) {
        LAPACKE_free( vt_save );
    }
    if( u != NULL ) {
        LAPACKE_free( u );
    }
    if( u_i != NULL ) {
        LAPACKE_free( u_i );
    }
    if( u_r != NULL ) {
        LAPACKE_free( u_r );
    }
    if( u_save != NULL ) {
        LAPACKE_free( u_save );
    }
    if( c != NULL ) {
        LAPACKE_free( c );
    }
    if( c_i != NULL ) {
        LAPACKE_free( c_i );
    }
    if( c_r != NULL ) {
        LAPACKE_free( c_r );
    }
    if( c_save != NULL ) {
        LAPACKE_free( c_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }

    return 0;
}

/* Auxiliary function: zbdsqr scalar parameters initialization */
static void init_scalars_zbdsqr( char *uplo, lapack_int *n, lapack_int *ncvt,
                                 lapack_int *nru, lapack_int *ncc,
                                 lapack_int *ldvt, lapack_int *ldu,
                                 lapack_int *ldc )
{
    *uplo = 'U';
    *n = 4;
    *ncvt = 4;
    *nru = 6;
    *ncc = 0;
    *ldvt = 8;
    *ldu = 8;
    *ldc = 8;

    return;
}

/* Auxiliary functions: zbdsqr 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] = -3.08700502105195800e+000;
    d[1] = 2.06603927667906850e+000;
    d[2] = 1.87312889112571160e+000;
    d[3] = 2.00218286620699090e+000;
}
static void init_e( lapack_int size, double *e ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        e[i] = 0;
    }
    e[0] = 2.11257100745583950e+000;
    e[1] = 1.26281010665522400e+000;
    e[2] = -1.61263387280039260e+000;
    e[3] = 0.00000000000000000e+000;
}
static void init_vt( lapack_int size, lapack_complex_double *vt ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        vt[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    vt[0] = lapack_make_complex_double( 1.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vt[8] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vt[16] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vt[24] = lapack_make_complex_double( 0.00000000000000000e+000,
                                         0.00000000000000000e+000 );
    vt[1] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vt[9] = lapack_make_complex_double( -2.31234531617601880e-001,
                                        -5.40426381454295000e-001 );
    vt[17] = lapack_make_complex_double( 1.78624075518133200e-001,
                                         -5.88728024331977130e-001 );
    vt[25] = lapack_make_complex_double( -4.04798435024739940e-001,
                                         -3.34814721344187110e-001 );
    vt[2] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vt[10] = lapack_make_complex_double( 4.96225984754380510e-001,
                                         2.64807608556462020e-001 );
    vt[18] = lapack_make_complex_double( -3.55623105209443960e-001,
                                         -6.88816765203852820e-001 );
    vt[26] = lapack_make_complex_double( 2.75655244497366060e-001,
                                         -8.19424169862172370e-002 );
    vt[3] = lapack_make_complex_double( 0.00000000000000000e+000,
                                        0.00000000000000000e+000 );
    vt[11] = lapack_make_complex_double( 2.91779089728414760e-001,
                                         5.02962804706486800e-001 );
    vt[19] = lapack_make_complex_double( 4.85070854407798900e-002,
                                         1.34920297541892970e-001 );
    vt[27] = lapack_make_complex_double( -7.15581919558924920e-001,
                                         -3.59554546978138210e-001 );
}
static void init_u( lapack_int size, lapack_complex_double *u ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        u[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    u[0] = lapack_make_complex_double( -3.10981029656006490e-001,
                                       2.62390243772255500e-001 );
    u[8] = lapack_make_complex_double( -6.52100156652580590e-001,
                                       -5.53232930919111300e-001 );
    u[16] = lapack_make_complex_double( -4.26652277391470560e-002,
                                        -3.60551875913458290e-002 );
    u[24] = lapack_make_complex_double( 2.63434291736194760e-001,
                                        7.41134830329821800e-002 );
    u[1] = lapack_make_complex_double( 3.17459801107173260e-001,
                                       -6.41398373665513440e-001 );
    u[9] = lapack_make_complex_double( -3.48794491065693380e-001,
                                       -7.20567339846693860e-002 );
    u[17] = lapack_make_complex_double( -2.28738568471465590e-001,
                                        -6.90884157766049650e-003 );
    u[25] = lapack_make_complex_double( -1.10140229907637420e-001,
                                        3.26180370964031520e-002 );
    u[2] = lapack_make_complex_double( -2.00841914986170850e-001,
                                       1.49011743376836450e-001 );
    u[10] = lapack_make_complex_double( 3.10251489958585980e-001,
                                        -2.30309142448547440e-002 );
    u[18] = lapack_make_complex_double( -1.85460167625633830e-001,
                                        1.81728049653940960e-001 );
    u[26] = lapack_make_complex_double( 2.95608864759607740e-001,
                                        -5.64781944942283730e-001 );
    u[3] = lapack_make_complex_double( 1.19857271846585860e-001,
                                       -1.23096657572169240e-001 );
    u[11] = lapack_make_complex_double( 4.59162169100148230e-003,
                                        4.64117081960858240e-004 );
    u[19] = lapack_make_complex_double( 3.30466205984792210e-001,
                                        -4.82071149828388450e-001 );
    u[27] = lapack_make_complex_double( 6.74932088473138290e-002,
                                        -3.46397021614317290e-001 );
    u[4] = lapack_make_complex_double( -2.68869015223422270e-001,
                                       -1.65208672004753480e-001 );
    u[12] = lapack_make_complex_double( -1.79380225742158510e-001,
                                        5.86074392732159330e-002 );
    u[20] = lapack_make_complex_double( 5.23537299523901270e-001,
                                        2.57977784560615260e-001 );
    u[28] = lapack_make_complex_double( -3.92695031623721160e-001,
                                        -1.44970740631150650e-001 );
    u[5] = lapack_make_complex_double( -3.49853658363007300e-001,
                                       9.07028003163352360e-002 );
    u[13] = lapack_make_complex_double( -8.28849784427782010e-002,
                                        5.05886798225579360e-002 );
    u[21] = lapack_make_complex_double( -3.20239252692931740e-001,
                                        -3.03796892849298670e-001 );
    u[29] = lapack_make_complex_double( -3.17357323819129010e-001,
                                        -3.24135324237070420e-001 );
}
static void init_c( lapack_int size, lapack_complex_double *c ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        c[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
}
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 zbdsqr results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zbdsqr( double *d, double *d_i, double *e, double *e_i,
                           lapack_complex_double *vt,
                           lapack_complex_double *vt_i,
                           lapack_complex_double *u, lapack_complex_double *u_i,
                           lapack_complex_double *c, lapack_complex_double *c_i,
                           lapack_int info, lapack_int info_i, lapack_int ldc,
                           lapack_int ldu, lapack_int ldvt, lapack_int n,
                           lapack_int ncc, lapack_int ncvt, lapack_int nru )
{
    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; i++ ) {
        failed += compare_doubles(e[i],e_i[i]);
    }
    if( ncvt != 0 ) {
        for( i = 0; i < ldvt*ncvt; i++ ) {
            failed += compare_complex_doubles(vt[i],vt_i[i]);
        }
    }
    if( nru != 0 ) {
        for( i = 0; i < ldu*n; i++ ) {
            failed += compare_complex_doubles(u[i],u_i[i]);
        }
    }
    if( ncc != 0 ) {
        for( i = 0; i < ldc*ncc; i++ ) {
            failed += compare_complex_doubles(c[i],c_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;
}