cbdsqr_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* cbdsqr_1 is the test program for the C interface to LAPACK
* routine cbdsqr
* 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_cbdsqr( 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, float *d );
static void init_e( lapack_int size, float *e );
static void init_vt( lapack_int size, lapack_complex_float *vt );
static void init_u( lapack_int size, lapack_complex_float *u );
static void init_c( lapack_int size, lapack_complex_float *c );
static void init_work( lapack_int size, float *work );
static int compare_cbdsqr( float *d, float *d_i, float *e, float *e_i,
                           lapack_complex_float *vt, lapack_complex_float *vt_i,
                           lapack_complex_float *u, lapack_complex_float *u_i,
                           lapack_complex_float *c, lapack_complex_float *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 */
    float *d = NULL, *d_i = NULL;
    float *e = NULL, *e_i = NULL;
    lapack_complex_float *vt = NULL, *vt_i = NULL;
    lapack_complex_float *u = NULL, *u_i = NULL;
    lapack_complex_float *c = NULL, *c_i = NULL;
    float *work = NULL, *work_i = NULL;
    float *d_save = NULL;
    float *e_save = NULL;
    lapack_complex_float *vt_save = NULL;
    lapack_complex_float *u_save = NULL;
    lapack_complex_float *c_save = NULL;
    lapack_complex_float *vt_r = NULL;
    lapack_complex_float *u_r = NULL;
    lapack_complex_float *c_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_cbdsqr( &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 = (float *)LAPACKE_malloc( n * sizeof(float) );
    e = (float *)LAPACKE_malloc( n * sizeof(float) );
    vt = (lapack_complex_float *)
        LAPACKE_malloc( ldvt*ncvt * sizeof(lapack_complex_float) );
    u = (lapack_complex_float *)
        LAPACKE_malloc( ldu*n * sizeof(lapack_complex_float) );
    c = (lapack_complex_float *)
        LAPACKE_malloc( ldc*ncc * sizeof(lapack_complex_float) );
    work = (float *)LAPACKE_malloc( 4*n * sizeof(float) );

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

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

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

    /* 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 */
    cbdsqr_( &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_cbdsqr_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_cbdsqr( 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 cbdsqr\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to cbdsqr\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_cbdsqr( 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_cbdsqr( 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 cbdsqr\n" );
    } else {
        printf( "FAILED: column-major high-level interface to cbdsqr\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_cge_trans( LAPACK_COL_MAJOR, n, ncvt, vt_i, ldvt, vt_r,
                           ncvt+2 );
    }
    if( nru != 0 ) {
        LAPACKE_cge_trans( LAPACK_COL_MAJOR, nru, n, u_i, ldu, u_r, n+2 );
    }
    if( ncc != 0 ) {
        LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, ncc, c_i, ldc, c_r, ncc+2 );
    }
    info_i = LAPACKE_cbdsqr_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_cge_trans( LAPACK_ROW_MAJOR, n, ncvt, vt_r, ncvt+2, vt_i,
                           ldvt );
    }
    if( nru != 0 ) {
        LAPACKE_cge_trans( LAPACK_ROW_MAJOR, nru, n, u_r, n+2, u_i, ldu );
    }
    if( ncc != 0 ) {
        LAPACKE_cge_trans( LAPACK_ROW_MAJOR, n, ncc, c_r, ncc+2, c_i, ldc );
    }

    failed = compare_cbdsqr( 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 cbdsqr\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to cbdsqr\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_cge_trans( LAPACK_COL_MAJOR, n, ncvt, vt_i, ldvt, vt_r,
                           ncvt+2 );
    }
    if( nru != 0 ) {
        LAPACKE_cge_trans( LAPACK_COL_MAJOR, nru, n, u_i, ldu, u_r, n+2 );
    }
    if( ncc != 0 ) {
        LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, ncc, c_i, ldc, c_r, ncc+2 );
    }
    info_i = LAPACKE_cbdsqr( 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_cge_trans( LAPACK_ROW_MAJOR, n, ncvt, vt_r, ncvt+2, vt_i,
                           ldvt );
    }
    if( nru != 0 ) {
        LAPACKE_cge_trans( LAPACK_ROW_MAJOR, nru, n, u_r, n+2, u_i, ldu );
    }
    if( ncc != 0 ) {
        LAPACKE_cge_trans( LAPACK_ROW_MAJOR, n, ncc, c_r, ncc+2, c_i, ldc );
    }

    failed = compare_cbdsqr( 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 cbdsqr\n" );
    } else {
        printf( "FAILED: row-major high-level interface to cbdsqr\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: cbdsqr scalar parameters initialization */
static void init_scalars_cbdsqr( 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: cbdsqr array parameters initialization */
static void init_d( lapack_int size, float *d ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        d[i] = 0;
    }
    d[0] = -3.087005138e+000;
    d[1] = 2.066039324e+000;
    d[2] = 1.873128653e+000;
    d[3] = 2.002182961e+000;
}
static void init_e( lapack_int size, float *e ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        e[i] = 0;
    }
    e[0] = 2.112571001e+000;
    e[1] = 1.262810111e+000;
    e[2] = -1.612633824e+000;
    e[3] = 0.000000000e+000;
}
static void init_vt( lapack_int size, lapack_complex_float *vt ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        vt[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
    vt[0] = lapack_make_complex_float( 1.000000000e+000, 0.000000000e+000 );
    vt[8] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    vt[16] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    vt[24] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    vt[1] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    vt[9] = lapack_make_complex_float( -2.312345505e-001, -5.404263735e-001 );
    vt[17] = lapack_make_complex_float( 1.786240637e-001, -5.887280703e-001 );
    vt[25] = lapack_make_complex_float( -4.047983885e-001, -3.348147273e-001 );
    vt[2] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    vt[10] = lapack_make_complex_float( 4.962260723e-001, 2.648075521e-001 );
    vt[18] = lapack_make_complex_float( -3.556231856e-001, -6.888166666e-001 );
    vt[26] = lapack_make_complex_float( 2.756552696e-001, -8.194240928e-002 );
    vt[3] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    vt[11] = lapack_make_complex_float( 2.917790413e-001, 5.029628277e-001 );
    vt[19] = lapack_make_complex_float( 4.850706458e-002, 1.349202693e-001 );
    vt[27] = lapack_make_complex_float( -7.155819535e-001, -3.595546782e-001 );
}
static void init_u( lapack_int size, lapack_complex_float *u ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        u[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
    u[0] = lapack_make_complex_float( -3.109810352e-001, 2.623902261e-001 );
    u[8] = lapack_make_complex_float( -6.521001458e-001, -5.532329679e-001 );
    u[16] = lapack_make_complex_float( -4.266516492e-002, -3.605512530e-002 );
    u[24] = lapack_make_complex_float( 2.634342611e-001, 7.411344349e-002 );
    u[1] = lapack_make_complex_float( 3.174597919e-001, -6.413983703e-001 );
    u[9] = lapack_make_complex_float( -3.487945795e-001, -7.205679268e-002 );
    u[17] = lapack_make_complex_float( -2.287386060e-001, -6.908839103e-003 );
    u[25] = lapack_make_complex_float( -1.101401895e-001, 3.261797875e-002 );
    u[2] = lapack_make_complex_float( -2.008419037e-001, 1.490117311e-001 );
    u[10] = lapack_make_complex_float( 3.102515340e-001, -2.303087153e-002 );
    u[18] = lapack_make_complex_float( -1.854601800e-001, 1.817280650e-001 );
    u[26] = lapack_make_complex_float( 2.956088483e-001, -5.647819638e-001 );
    u[3] = lapack_make_complex_float( 1.198572665e-001, -1.230966449e-001 );
    u[11] = lapack_make_complex_float( 4.591666162e-003, 4.640752450e-004 );
    u[19] = lapack_make_complex_float( 3.304663301e-001, -4.820711017e-001 );
    u[27] = lapack_make_complex_float( 6.749325991e-002, -3.463969827e-001 );
    u[4] = lapack_make_complex_float( -2.688689828e-001, -1.652086675e-001 );
    u[12] = lapack_make_complex_float( -1.793801785e-001, 5.860745907e-002 );
    u[20] = lapack_make_complex_float( 5.235373974e-001, 2.579777837e-001 );
    u[28] = lapack_make_complex_float( -3.926950991e-001, -1.449706554e-001 );
    u[5] = lapack_make_complex_float( -3.498536646e-001, 9.070278704e-002 );
    u[13] = lapack_make_complex_float( -8.288498223e-002, 5.058868229e-002 );
    u[21] = lapack_make_complex_float( -3.202392757e-001, -3.037969768e-001 );
    u[29] = lapack_make_complex_float( -3.173573017e-001, -3.241353333e-001 );
}
static void init_c( lapack_int size, lapack_complex_float *c ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        c[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
}
static void init_work( lapack_int size, float *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = 0;
    }
}

/* Auxiliary function: C interface to cbdsqr results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_cbdsqr( float *d, float *d_i, float *e, float *e_i,
                           lapack_complex_float *vt, lapack_complex_float *vt_i,
                           lapack_complex_float *u, lapack_complex_float *u_i,
                           lapack_complex_float *c, lapack_complex_float *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_floats(d[i],d_i[i]);
    }
    for( i = 0; i < n; i++ ) {
        failed += compare_floats(e[i],e_i[i]);
    }
    if( ncvt != 0 ) {
        for( i = 0; i < ldvt*ncvt; i++ ) {
            failed += compare_complex_floats(vt[i],vt_i[i]);
        }
    }
    if( nru != 0 ) {
        for( i = 0; i < ldu*n; i++ ) {
            failed += compare_complex_floats(u[i],u_i[i]);
        }
    }
    if( ncc != 0 ) {
        for( i = 0; i < ldc*ncc; i++ ) {
            failed += compare_complex_floats(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;
}