/*
    Copyright (C) 2008, 2009 William Hart

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 2.1 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_vec.h"
#include "fmpz_poly.h"

/*
   Assumes poly1 and poly2 are not length 0 and 0 < n <= len1 + len2 - 1.
 */
void
_fmpz_poly_mullow_classical(fmpz * res, const fmpz * poly1, slong len1, 
                                        const fmpz * poly2, slong len2, slong n)
{
    if ((len1 == 1 && len2 == 1) || n == 1) /* Special case if the length of output is 1 */
    {
        fmpz_mul(res, poly1, poly2);
    }
    else                        /* Ordinary case */
    {
        slong i;

        /* Set res[i] = poly1[i]*poly2[0] */
        _fmpz_vec_scalar_mul_fmpz(res, poly1, FLINT_MIN(len1, n), poly2);

        /* Set res[i+len1-1] = in1[len1-1]*in2[i] */
        if (n > len1)
            _fmpz_vec_scalar_mul_fmpz(res + len1, poly2 + 1, n - len1,
                                      poly1 + len1 - 1);

        /* out[i+j] += in1[i]*in2[j] */
        for (i = 0; i < FLINT_MIN(len1, n) - 1; i++)
            _fmpz_vec_scalar_addmul_fmpz(res + i + 1, poly2 + 1,
                                         FLINT_MIN(len2, n - i) - 1, 
                                         poly1 + i);
    }
}

void
fmpz_poly_mullow_classical(fmpz_poly_t res, const fmpz_poly_t poly1, 
                                            const fmpz_poly_t poly2, slong n)
{
    slong len_out;

    if (poly1->length == 0 || poly2->length == 0 || n == 0)
    {
        fmpz_poly_zero(res);
        return;
    }

    len_out = poly1->length + poly2->length - 1;
    if (n > len_out)
        n = len_out;

    if (res == poly1 || res == poly2)
    {
        fmpz_poly_t t;
        fmpz_poly_init2(t, n);
        _fmpz_poly_mullow_classical(t->coeffs, poly1->coeffs, poly1->length,
                                    poly2->coeffs, poly2->length, n);
        fmpz_poly_swap(res, t);
        fmpz_poly_clear(t);
    }
    else
    {
        fmpz_poly_fit_length(res, n);
        _fmpz_poly_mullow_classical(res->coeffs, poly1->coeffs, poly1->length,
                                    poly2->coeffs, poly2->length, n);
    }

    _fmpz_poly_set_length(res, n);
    _fmpz_poly_normalise(res);
}