/*
    Copyright (C) 2008, 2009 William Hart
    Copyright (C) 2021 Fredrik Johansson

    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 <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_vec.h"
#include "nmod_poly.h"
#include "ulong_extras.h"

/* Assumes poly1 and poly2 are not length 0 and 0 < n <= len1 + len2 - 1 */
void
_nmod_poly_mullow_classical(mp_ptr res, mp_srcptr poly1, slong len1,
                            mp_srcptr poly2, slong len2, slong n, nmod_t mod)
{
    slong i, j, bits, log_len, nlimbs, n1, n2;
    int squaring;
    mp_limb_t c;

    len1 = FLINT_MIN(len1, n);
    len2 = FLINT_MIN(len2, n);

    if (n == 1)
    {
        res[0] = nmod_mul(poly1[0], poly2[0], mod);
        return;
    }

    if (len2 == 1)
    {
        _nmod_vec_scalar_mul_nmod(res, poly1, len1, poly2[0], mod);
        return;
    }

    squaring = (poly1 == poly2 && len1 == len2);

    log_len = FLINT_BIT_COUNT(len2);
    bits = FLINT_BITS - (slong) mod.norm;
    bits = 2 * bits + log_len;

    if (bits <= FLINT_BITS)
    {
        flint_mpn_zero(res, n);

        if (squaring)
        {
            for (i = 0; i < len1; i++)
            {
                c = poly1[i];

                if (2 * i < n)
                    res[2 * i] += c * c;

                c *= 2;

                for (j = i + 1; j < FLINT_MIN(len1, n - i); j++)
                    res[i + j] += poly1[j] * c;
            }
        }
        else
        {
            for (i = 0; i < len1; i++)
            {
                mp_limb_t c = poly1[i];

                for (j = 0; j < FLINT_MIN(len2, n - i); j++)
                    res[i + j] += c * poly2[j];
            }
        }

        _nmod_vec_reduce(res, res, n, mod);
        return;
    }

    if (len2 == 2)
    {
        _nmod_vec_scalar_mul_nmod(res, poly1, len1, poly2[0], mod);
        _nmod_vec_scalar_addmul_nmod(res + 1, poly1, len1 - 1, poly2[1], mod);
        if (n == len1 + len2 - 1)
            res[len1 + len2 - 2] = nmod_mul(poly1[len1 - 1], poly2[len2 - 1], mod);
        return;
    }

    if (bits <= 2 * FLINT_BITS)
        nlimbs = 2;
    else
        nlimbs = 3;

    if (squaring)
    {
        for (i = 0; i < n; i++)
        {
            n1 = FLINT_MAX(0, i - len1 + 1);
            n2 = FLINT_MIN(len1 - 1, (i + 1) / 2 - 1);

            c = _nmod_vec_dot_rev(poly1 + n1, poly1 + i - n2, n2 - n1 + 1, mod, nlimbs);
            c = nmod_add(c, c, mod);

            if (i % 2 == 0 && i / 2 < len1)
                NMOD_ADDMUL(c, poly1[i / 2], poly1[i / 2], mod);

            res[i] = c;
        }
    }
    else
    {
        for (i = 0; i < n; i++)
        {
            n1 = FLINT_MIN(len1 - 1, i);
            n2 = FLINT_MIN(len2 - 1, i);

            res[i] = _nmod_vec_dot_rev(poly1 + i - n2,
                                       poly2 + i - n1,
                                       n1 + n2 - i + 1, mod, nlimbs);
        }
    }
}

void
nmod_poly_mullow_classical(nmod_poly_t res,
                           const nmod_poly_t poly1, const nmod_poly_t poly2,
                           slong trunc)
{
    slong len_out;

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

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

    if (res == poly1 || res == poly2)
    {
        nmod_poly_t temp;
        nmod_poly_init2_preinv(temp, poly1->mod.n, poly1->mod.ninv, trunc);
        if (poly1->length >= poly2->length)
            _nmod_poly_mullow_classical(temp->coeffs, poly1->coeffs,
                                        poly1->length, poly2->coeffs,
                                        poly2->length, trunc, poly1->mod);
        else
            _nmod_poly_mullow_classical(temp->coeffs, poly2->coeffs,
                                        poly2->length, poly1->coeffs,
                                        poly1->length, trunc, poly1->mod);
        nmod_poly_swap(res, temp);
        nmod_poly_clear(temp);
    }
    else
    {
        nmod_poly_fit_length(res, trunc);
        if (poly1->length >= poly2->length)
            _nmod_poly_mullow_classical(res->coeffs, poly1->coeffs,
                                        poly1->length, poly2->coeffs,
                                        poly2->length, trunc, poly1->mod);
        else
            _nmod_poly_mullow_classical(res->coeffs, poly2->coeffs,
                                        poly2->length, poly1->coeffs,
                                        poly1->length, trunc, poly1->mod);
    }

    res->length = trunc;
    _nmod_poly_normalise(res);
}