Exemplo n.º 1
0
lapack_int LAPACKE_zhprfs( int matrix_layout, char uplo, lapack_int n,
                           lapack_int nrhs, const lapack_complex_double* ap,
                           const lapack_complex_double* afp,
                           const lapack_int* ipiv,
                           const lapack_complex_double* b, lapack_int ldb,
                           lapack_complex_double* x, lapack_int ldx,
                           double* ferr, double* berr )
{
    lapack_int info = 0;
    double* rwork = NULL;
    lapack_complex_double* work = NULL;
    if( matrix_layout != LAPACK_COL_MAJOR && matrix_layout != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_zhprfs", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_zhp_nancheck( n, afp ) ) {
        return -6;
    }
    if( LAPACKE_zhp_nancheck( n, ap ) ) {
        return -5;
    }
    if( LAPACKE_zge_nancheck( matrix_layout, n, nrhs, b, ldb ) ) {
        return -8;
    }
    if( LAPACKE_zge_nancheck( matrix_layout, n, nrhs, x, ldx ) ) {
        return -10;
    }
#endif
    /* Allocate memory for working array(s) */
    rwork = (double*)LAPACKE_malloc( sizeof(double) * MAX(1,n) );
    if( rwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    work = (lapack_complex_double*)
        LAPACKE_malloc( sizeof(lapack_complex_double) * MAX(1,2*n) );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_zhprfs_work( matrix_layout, uplo, n, nrhs, ap, afp, ipiv, b,
                                ldb, x, ldx, ferr, berr, work, rwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    LAPACKE_free( rwork );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_zhprfs", info );
    }
    return info;
}
Exemplo n.º 2
0
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_double *ap = NULL, *ap_i = NULL;
    lapack_complex_double *afp = NULL, *afp_i = NULL;
    lapack_int *ipiv = NULL, *ipiv_i = NULL;
    lapack_complex_double *b = NULL, *b_i = NULL;
    lapack_complex_double *x = NULL, *x_i = NULL;
    double *ferr = NULL, *ferr_i = NULL;
    double *berr = NULL, *berr_i = NULL;
    lapack_complex_double *work = NULL, *work_i = NULL;
    double *rwork = NULL, *rwork_i = NULL;
    lapack_complex_double *x_save = NULL;
    double *ferr_save = NULL;
    double *berr_save = NULL;
    lapack_complex_double *ap_r = NULL;
    lapack_complex_double *afp_r = NULL;
    lapack_complex_double *b_r = NULL;
    lapack_complex_double *x_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zhprfs( &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_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    afp = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    ipiv = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
    b = (lapack_complex_double *)
        LAPACKE_malloc( ldb*nrhs * sizeof(lapack_complex_double) );
    x = (lapack_complex_double *)
        LAPACKE_malloc( ldx*nrhs * sizeof(lapack_complex_double) );
    ferr = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
    berr = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
    work = (lapack_complex_double *)
        LAPACKE_malloc( 2*n * sizeof(lapack_complex_double) );
    rwork = (double *)LAPACKE_malloc( n * sizeof(double) );

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

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

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

    /* Initialize input arrays */
    init_ap( (n*(n+1)/2), ap );
    init_afp( (n*(n+1)/2), afp );
    init_ipiv( n, ipiv );
    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 */
    zhprfs_( &uplo, &n, &nrhs, ap, afp, ipiv, 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 < n; i++ ) {
        ipiv_i[i] = ipiv[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_zhprfs_work( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, ap_i,
                                  afp_i, ipiv_i, b_i, ldb_i, x_i, ldx_i, ferr_i,
                                  berr_i, work_i, rwork_i );

    failed = compare_zhprfs( 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 zhprfs\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zhprfs\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 < n; i++ ) {
        ipiv_i[i] = ipiv[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_zhprfs( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, ap_i, afp_i,
                             ipiv_i, b_i, ldb_i, x_i, ldx_i, ferr_i, berr_i );

    failed = compare_zhprfs( 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 zhprfs\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zhprfs\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 < n; i++ ) {
        ipiv_i[i] = ipiv[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_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_zpp_trans( LAPACK_COL_MAJOR, uplo, n, afp_i, afp_r );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, x_i, ldx, x_r, nrhs+2 );
    info_i = LAPACKE_zhprfs_work( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, ap_r,
                                  afp_r, ipiv_i, b_r, ldb_r, x_r, ldx_r, ferr_i,
                                  berr_i, work_i, rwork_i );

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

    failed = compare_zhprfs( 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 zhprfs\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zhprfs\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 < n; i++ ) {
        ipiv_i[i] = ipiv[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_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_zpp_trans( LAPACK_COL_MAJOR, uplo, n, afp_i, afp_r );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, x_i, ldx, x_r, nrhs+2 );
    info_i = LAPACKE_zhprfs( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, ap_r, afp_r,
                             ipiv_i, b_r, ldb_r, x_r, ldx_r, ferr_i, berr_i );

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

    failed = compare_zhprfs( 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 zhprfs\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zhprfs\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( ipiv != NULL ) {
        LAPACKE_free( ipiv );
    }
    if( ipiv_i != NULL ) {
        LAPACKE_free( ipiv_i );
    }
    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;
}