/*=============================================================================

    This file is part of FLINT.

    FLINT is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    FLINT is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with FLINT; if not, write to the Free Software
    Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301 USA

=============================================================================*/
/******************************************************************************

    Copyright (C) 2011 Fredrik Johansson

******************************************************************************/

#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_vec.h"
#include "fmpz_poly.h"
#include "fmpq_poly.h"
#include "ulong_extras.h"

int
main(void)
{
    int i;
    FLINT_TEST_INIT(state);

    flint_printf("interpolate_fmpz_vec....");
    fflush(stdout);

    

    for (i = 0; i < 100 * flint_test_multiplier(); i++)
    {
        fmpq_poly_t P;
        fmpz *x, *y, *z;
        fmpq_t q;
        slong j, n, bits;

        n = n_randint(state, 50);
        bits = n_randint(state, 100);

        x = _fmpz_vec_init(n);
        y = _fmpz_vec_init(n);
        z = _fmpz_vec_init(n);

        fmpq_poly_init(P);

        for (j = 0; j < n; j++)
            fmpz_set_si(x + j, -n/2 + j);

        _fmpz_vec_randtest(y, state, n, bits);

        fmpq_poly_interpolate_fmpz_vec(P, x, y, n);

        fmpq_init(q);
        for (j = 0; j < n; j++)
        {
            fmpq_poly_evaluate_fmpz(q, P, x + j);
            fmpz_set(z + j, fmpq_numref(q));

            if (!fmpz_equal(z + j, y + j) || !fmpz_is_one(fmpq_denref(q)))
            {
                flint_printf("FAIL:\n");
                flint_printf("x:\n"); _fmpz_vec_print(x, n); flint_printf("\n\n");
                flint_printf("y:\n"); _fmpz_vec_print(y, n); flint_printf("\n\n");
                flint_printf("P:\n"); fmpq_poly_print(P), flint_printf("\n\n");
                abort();
            }
        }
        fmpq_clear(q);

        fmpq_poly_clear(P);
        _fmpz_vec_clear(x, n);
        _fmpz_vec_clear(y, n);
        _fmpz_vec_clear(z, n);
    }

    FLINT_TEST_CLEANUP(state);
    
    flint_printf("PASS\n");
    return 0;
}
