cpprfs_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* cpprfs_1 is the test program for the C interface to LAPACK
* routine cpprfs
* 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_cpprfs( char *uplo, lapack_int *n, lapack_int *nrhs,
                                 lapack_int *ldb, lapack_int *ldx );
static void init_ap( lapack_int size, lapack_complex_float *ap );
static void init_afp( lapack_int size, lapack_complex_float *afp );
static void init_b( lapack_int size, lapack_complex_float *b );
static void init_x( lapack_int size, lapack_complex_float *x );
static void init_ferr( lapack_int size, float *ferr );
static void init_berr( lapack_int size, float *berr );
static void init_work( lapack_int size, lapack_complex_float *work );
static void init_rwork( lapack_int size, float *rwork );
static int compare_cpprfs( lapack_complex_float *x, lapack_complex_float *x_i,
                           float *ferr, float *ferr_i, float *berr,
                           float *berr_i, lapack_int info, lapack_int info_i,
                           lapack_int ldx, lapack_int nrhs );

int main(void)
{
    /* Local scalars */
    char uplo, uplo_i;
    lapack_int n, n_i;
    lapack_int nrhs, nrhs_i;
    lapack_int ldb, ldb_i;
    lapack_int ldb_r;
    lapack_int ldx, ldx_i;
    lapack_int ldx_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_complex_float *ap = NULL, *ap_i = NULL;
    lapack_complex_float *afp = NULL, *afp_i = NULL;
    lapack_complex_float *b = NULL, *b_i = NULL;
    lapack_complex_float *x = NULL, *x_i = NULL;
    float *ferr = NULL, *ferr_i = NULL;
    float *berr = NULL, *berr_i = NULL;
    lapack_complex_float *work = NULL, *work_i = NULL;
    float *rwork = NULL, *rwork_i = NULL;
    lapack_complex_float *x_save = NULL;
    float *ferr_save = NULL;
    float *berr_save = NULL;
    lapack_complex_float *ap_r = NULL;
    lapack_complex_float *afp_r = NULL;
    lapack_complex_float *b_r = NULL;
    lapack_complex_float *x_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_cpprfs( &uplo, &n, &nrhs, &ldb, &ldx );
    ldb_r = nrhs+2;
    ldx_r = nrhs+2;
    uplo_i = uplo;
    n_i = n;
    nrhs_i = nrhs;
    ldb_i = ldb;
    ldx_i = ldx;

    /* Allocate memory for the LAPACK routine arrays */
    ap = (lapack_complex_float *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_float) );
    afp = (lapack_complex_float *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_float) );
    b = (lapack_complex_float *)
        LAPACKE_malloc( ldb*nrhs * sizeof(lapack_complex_float) );
    x = (lapack_complex_float *)
        LAPACKE_malloc( ldx*nrhs * sizeof(lapack_complex_float) );
    ferr = (float *)LAPACKE_malloc( nrhs * sizeof(float) );
    berr = (float *)LAPACKE_malloc( nrhs * sizeof(float) );
    work = (lapack_complex_float *)
        LAPACKE_malloc( 2*n * sizeof(lapack_complex_float) );
    rwork = (float *)LAPACKE_malloc( n * sizeof(float) );

    /* Allocate memory for the C interface function arrays */
    ap_i = (lapack_complex_float *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_float) );
    afp_i = (lapack_complex_float *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_float) );
    b_i = (lapack_complex_float *)
        LAPACKE_malloc( ldb*nrhs * sizeof(lapack_complex_float) );
    x_i = (lapack_complex_float *)
        LAPACKE_malloc( ldx*nrhs * sizeof(lapack_complex_float) );
    ferr_i = (float *)LAPACKE_malloc( nrhs * sizeof(float) );
    berr_i = (float *)LAPACKE_malloc( nrhs * sizeof(float) );
    work_i = (lapack_complex_float *)
        LAPACKE_malloc( 2*n * sizeof(lapack_complex_float) );
    rwork_i = (float *)LAPACKE_malloc( n * sizeof(float) );

    /* Allocate memory for the backup arrays */
    x_save = (lapack_complex_float *)
        LAPACKE_malloc( ldx*nrhs * sizeof(lapack_complex_float) );
    ferr_save = (float *)LAPACKE_malloc( nrhs * sizeof(float) );
    berr_save = (float *)LAPACKE_malloc( nrhs * sizeof(float) );

    /* Allocate memory for the row-major arrays */
    ap_r = (lapack_complex_float *)
        LAPACKE_malloc( n*(n+1)/2 * sizeof(lapack_complex_float) );
    afp_r = (lapack_complex_float *)
        LAPACKE_malloc( n*(n+1)/2 * sizeof(lapack_complex_float) );
    b_r = (lapack_complex_float *)
        LAPACKE_malloc( n*(nrhs+2) * sizeof(lapack_complex_float) );
    x_r = (lapack_complex_float *)
        LAPACKE_malloc( n*(nrhs+2) * sizeof(lapack_complex_float) );

    /* Initialize input arrays */
    init_ap( (n*(n+1)/2), ap );
    init_afp( (n*(n+1)/2), afp );
    init_b( ldb*nrhs, b );
    init_x( ldx*nrhs, x );
    init_ferr( nrhs, ferr );
    init_berr( nrhs, berr );
    init_work( 2*n, work );
    init_rwork( n, rwork );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_save[i] = x[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_save[i] = ferr[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_save[i] = berr[i];
    }

    /* Call the LAPACK routine */
    cpprfs_( &uplo, &n, &nrhs, ap, afp, b, &ldb, x, &ldx, ferr, berr, work,
             rwork, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        afp_i[i] = afp[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_i[i] = x_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_i[i] = ferr_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_i[i] = berr_save[i];
    }
    for( i = 0; i < 2*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }
    info_i = LAPACKE_cpprfs_work( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, ap_i,
                                  afp_i, b_i, ldb_i, x_i, ldx_i, ferr_i, berr_i,
                                  work_i, rwork_i );

    failed = compare_cpprfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
                             ldx, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to cpprfs\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to cpprfs\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        afp_i[i] = afp[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_i[i] = x_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_i[i] = ferr_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_i[i] = berr_save[i];
    }
    for( i = 0; i < 2*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }
    info_i = LAPACKE_cpprfs( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, ap_i, afp_i,
                             b_i, ldb_i, x_i, ldx_i, ferr_i, berr_i );

    failed = compare_cpprfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
                             ldx, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to cpprfs\n" );
    } else {
        printf( "FAILED: column-major high-level interface to cpprfs\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        afp_i[i] = afp[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_i[i] = x_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_i[i] = ferr_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_i[i] = berr_save[i];
    }
    for( i = 0; i < 2*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }

    LAPACKE_cpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_cpp_trans( LAPACK_COL_MAJOR, uplo, n, afp_i, afp_r );
    LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, nrhs, x_i, ldx, x_r, nrhs+2 );
    info_i = LAPACKE_cpprfs_work( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, ap_r,
                                  afp_r, b_r, ldb_r, x_r, ldx_r, ferr_i, berr_i,
                                  work_i, rwork_i );

    LAPACKE_cge_trans( LAPACK_ROW_MAJOR, n, nrhs, x_r, nrhs+2, x_i, ldx );

    failed = compare_cpprfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
                             ldx, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to cpprfs\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to cpprfs\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        afp_i[i] = afp[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldx*nrhs; i++ ) {
        x_i[i] = x_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        ferr_i[i] = ferr_save[i];
    }
    for( i = 0; i < nrhs; i++ ) {
        berr_i[i] = berr_save[i];
    }
    for( i = 0; i < 2*n; i++ ) {
        work_i[i] = work[i];
    }
    for( i = 0; i < n; i++ ) {
        rwork_i[i] = rwork[i];
    }

    /* Init row_major arrays */
    LAPACKE_cpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_cpp_trans( LAPACK_COL_MAJOR, uplo, n, afp_i, afp_r );
    LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, nrhs, x_i, ldx, x_r, nrhs+2 );
    info_i = LAPACKE_cpprfs( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, ap_r, afp_r,
                             b_r, ldb_r, x_r, ldx_r, ferr_i, berr_i );

    LAPACKE_cge_trans( LAPACK_ROW_MAJOR, n, nrhs, x_r, nrhs+2, x_i, ldx );

    failed = compare_cpprfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
                             ldx, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to cpprfs\n" );
    } else {
        printf( "FAILED: row-major high-level interface to cpprfs\n" );
    }

    /* Release memory */
    if( ap != NULL ) {
        LAPACKE_free( ap );
    }
    if( ap_i != NULL ) {
        LAPACKE_free( ap_i );
    }
    if( ap_r != NULL ) {
        LAPACKE_free( ap_r );
    }
    if( afp != NULL ) {
        LAPACKE_free( afp );
    }
    if( afp_i != NULL ) {
        LAPACKE_free( afp_i );
    }
    if( afp_r != NULL ) {
        LAPACKE_free( afp_r );
    }
    if( b != NULL ) {
        LAPACKE_free( b );
    }
    if( b_i != NULL ) {
        LAPACKE_free( b_i );
    }
    if( b_r != NULL ) {
        LAPACKE_free( b_r );
    }
    if( x != NULL ) {
        LAPACKE_free( x );
    }
    if( x_i != NULL ) {
        LAPACKE_free( x_i );
    }
    if( x_r != NULL ) {
        LAPACKE_free( x_r );
    }
    if( x_save != NULL ) {
        LAPACKE_free( x_save );
    }
    if( ferr != NULL ) {
        LAPACKE_free( ferr );
    }
    if( ferr_i != NULL ) {
        LAPACKE_free( ferr_i );
    }
    if( ferr_save != NULL ) {
        LAPACKE_free( ferr_save );
    }
    if( berr != NULL ) {
        LAPACKE_free( berr );
    }
    if( berr_i != NULL ) {
        LAPACKE_free( berr_i );
    }
    if( berr_save != NULL ) {
        LAPACKE_free( berr_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }
    if( rwork != NULL ) {
        LAPACKE_free( rwork );
    }
    if( rwork_i != NULL ) {
        LAPACKE_free( rwork_i );
    }

    return 0;
}

/* Auxiliary function: cpprfs scalar parameters initialization */
static void init_scalars_cpprfs( char *uplo, lapack_int *n, lapack_int *nrhs,
                                 lapack_int *ldb, lapack_int *ldx )
{
    *uplo = 'L';
    *n = 4;
    *nrhs = 2;
    *ldb = 8;
    *ldx = 8;

    return;
}

/* Auxiliary functions: cpprfs array parameters initialization */
static void init_ap( lapack_int size, lapack_complex_float *ap ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ap[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
    ap[0] = lapack_make_complex_float( 3.230000019e+000, 0.000000000e+000 );
    ap[1] = lapack_make_complex_float( 1.509999990e+000, 1.919999957e+000 );
    ap[2] = lapack_make_complex_float( 1.899999976e+000, -8.399999738e-001 );
    ap[3] = lapack_make_complex_float( 4.199999869e-001, -2.500000000e+000 );
    ap[4] = lapack_make_complex_float( 3.579999924e+000, 0.000000000e+000 );
    ap[5] = lapack_make_complex_float( -2.300000042e-001, -1.110000014e+000 );
    ap[6] = lapack_make_complex_float( -1.179999948e+000, -1.370000005e+000 );
    ap[7] = lapack_make_complex_float( 4.090000153e+000, 0.000000000e+000 );
    ap[8] = lapack_make_complex_float( 2.329999924e+000, 1.400000006e-001 );
    ap[9] = lapack_make_complex_float( 4.289999962e+000, 0.000000000e+000 );
}
static void init_afp( lapack_int size, lapack_complex_float *afp ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        afp[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
    afp[0] = lapack_make_complex_float( 1.797220111e+000, 0.000000000e+000 );
    afp[1] = lapack_make_complex_float( 8.401864767e-001, 1.068316579e+000 );
    afp[2] = lapack_make_complex_float( 1.057188272e+000, -4.673885107e-001 );
    afp[3] = lapack_make_complex_float( 2.336942554e-001, -1.391037226e+000 );
    afp[4] = lapack_make_complex_float( 1.316353440e+000, 0.000000000e+000 );
    afp[5] = lapack_make_complex_float( -4.701749682e-001, 3.130658865e-001 );
    afp[6] = lapack_make_complex_float( 8.335255831e-002, 3.676066920e-002 );
    afp[7] = lapack_make_complex_float( 1.560392976e+000, 0.000000000e+000 );
    afp[8] = lapack_make_complex_float( 9.359616637e-001, 9.899691939e-001 );
    afp[9] = lapack_make_complex_float( 6.603332758e-001, 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( 3.930000067e+000, -6.139999866e+000 );
    b[8] = lapack_make_complex_float( 1.480000019e+000, 6.579999924e+000 );
    b[1] = lapack_make_complex_float( 6.170000076e+000, 9.420000076e+000 );
    b[9] = lapack_make_complex_float( 4.650000095e+000, -4.750000000e+000 );
    b[2] = lapack_make_complex_float( -7.170000076e+000, -2.182999992e+001 );
    b[10] = lapack_make_complex_float( -4.909999847e+000, 2.289999962e+000 );
    b[3] = lapack_make_complex_float( 1.990000010e+000, -1.438000011e+001 );
    b[11] = lapack_make_complex_float( 7.639999866e+000, -1.078999996e+001 );
}
static void init_x( lapack_int size, lapack_complex_float *x ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        x[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
    x[0] = lapack_make_complex_float( 9.999954104e-001, -9.999989867e-001 );
    x[8] = lapack_make_complex_float( -9.999988675e-001, 2.000002623e+000 );
    x[1] = lapack_make_complex_float( 1.403683768e-006, 3.000000954e+000 );
    x[9] = lapack_make_complex_float( 3.000000238e+000, -4.000000954e+000 );
    x[2] = lapack_make_complex_float( -3.999997139e+000, -4.999999523e+000 );
    x[10] = lapack_make_complex_float( -2.000000000e+000, 2.999997854e+000 );
    x[3] = lapack_make_complex_float( 1.999998331e+000, 9.999975562e-001 );
    x[11] = lapack_make_complex_float( 3.999998569e+000, -4.999998569e+000 );
}
static void init_ferr( lapack_int size, float *ferr ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ferr[i] = 0;
    }
}
static void init_berr( lapack_int size, float *berr ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        berr[i] = 0;
    }
}
static void init_work( lapack_int size, lapack_complex_float *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
}
static void init_rwork( lapack_int size, float *rwork ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        rwork[i] = 0;
    }
}

/* Auxiliary function: C interface to cpprfs results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_cpprfs( lapack_complex_float *x, lapack_complex_float *x_i,
                           float *ferr, float *ferr_i, float *berr,
                           float *berr_i, lapack_int info, lapack_int info_i,
                           lapack_int ldx, lapack_int nrhs )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldx*nrhs; i++ ) {
        failed += compare_complex_floats(x[i],x_i[i]);
    }
    for( i = 0; i < nrhs; i++ ) {
        failed += compare_floats(ferr[i],ferr_i[i]);
    }
    for( i = 0; i < nrhs; i++ ) {
        failed += compare_floats(berr[i],berr_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;
}