/*
    Copyright (C) 2008, 2009 William Hart
    Copyright (C) 2010, 2012 Sebastian Pancratz
    Copyright (C) 2013 Mike Hansen

    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/>.
*/

#ifdef T

#include "templates.h"
#include "fmpz_poly.h"

void
_TEMPLATE(T, poly_mullow_KS) (TEMPLATE(T, struct) * rop,
                              const TEMPLATE(T, struct) * op1, slong len1,
                              const TEMPLATE(T, struct) * op2, slong len2,
                              slong n, const TEMPLATE(T, ctx_t) ctx)
{
    const slong d = TEMPLATE(T, ctx_degree) (ctx);
    slong bits, i, m;
    fmpz *f, *g, *h;

    TEMPLATE(CAP_T, VEC_NORM) (op1, len1, ctx);
    TEMPLATE(CAP_T, VEC_NORM) (op2, len2, ctx);

    if (!len1 | !len2)
    {
        _TEMPLATE(T, poly_zero) (rop, n, ctx);
        return;
    }

    bits = 2 * fmpz_bits(TEMPLATE(T, ctx_prime) (ctx))
        + FLINT_BIT_COUNT(d) + FLINT_BIT_COUNT(FLINT_MIN(len1, len2));

    f = _fmpz_vec_init(n + len1 + len2);
    g = f + n;
    h = g + len1;

    for (i = 0; i < len1; i++)
    {
        TEMPLATE(T, bit_pack) (g + i, op1 + i, bits, ctx);
    }
    for (i = 0; i < len2; i++)
    {
        TEMPLATE(T, bit_pack) (h + i, op2 + i, bits, ctx);
    }

    m = FLINT_MIN(n, len1 + len2 - 1);

    if (len1 >= len2)
        _fmpz_poly_mullow(f, g, len1, h, len2, m);
    else
        _fmpz_poly_mullow(f, h, len2, g, len1, m);

    for (i = 0; i < m; i++)
    {
        TEMPLATE(T, bit_unpack) (rop + i, f + i, bits, ctx);
    }
    for (; i < n; i++)
    {
        TEMPLATE(T, zero) (rop + i, ctx);
    }

    _fmpz_vec_clear(f, n + len1 + len2);
}

void
TEMPLATE(T, poly_mullow_KS) (TEMPLATE(T, poly_t) rop,
                             const TEMPLATE(T, poly_t) op1,
                             const TEMPLATE(T, poly_t) op2,
                             slong n, const TEMPLATE(T, ctx_t) ctx)
{
    const slong len1 = op1->length;
    const slong len2 = op2->length;

    if (len1 == 0 || len2 == 0 || n == 0)
    {
        TEMPLATE(T, poly_zero) (rop, ctx);
    }
    else
    {
        const slong lenr = op1->length + op2->length - 1;

        if (n > lenr)
            n = lenr;

        TEMPLATE(T, poly_fit_length) (rop, n, ctx);
        _TEMPLATE(T, poly_mullow_KS) (rop->coeffs, op1->coeffs, len1,
                                      op2->coeffs, len2, n, ctx);
        _TEMPLATE(T, poly_set_length) (rop, n, ctx);
        _TEMPLATE(T, poly_normalise) (rop, ctx);
    }
}


#endif