/*
    Copyright (C) 2010 Sebastian Pancratz
    Copyright (C) 2010 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 "nmod_vec.h"
#include "nmod_poly.h"

void
_nmod_poly_pow_trunc(mp_ptr res, mp_srcptr poly, 
                                       ulong e, slong trunc, nmod_t mod)
{
    _nmod_poly_pow_trunc_binexp(res, poly, e, trunc, mod);
}

void
nmod_poly_pow_trunc(nmod_poly_t res, 
                           const nmod_poly_t poly, ulong e, slong trunc)
{
    const slong len = poly->length;
    mp_ptr p;
    int pcopy = 0;

    if (len < 2 || e < UWORD(3) || trunc == 0)
    {
        if (len == 0 || trunc == 0)
            nmod_poly_zero(res);
        else if (len == 1)
        {
            nmod_poly_fit_length(res, 1);
            res->coeffs[0] = n_powmod2_ui_preinv(poly->coeffs[0], e,
                poly->mod.n, poly->mod.ninv);
            res->length = 1;
            _nmod_poly_normalise(res);
        }
        else if (e == UWORD(0))
        {
            nmod_poly_set_coeff_ui(res, 0, UWORD(1));
            res->length = 1;
            _nmod_poly_normalise(res);
        }
        else if (e == UWORD(1))
        {
            nmod_poly_set(res, poly);
            nmod_poly_truncate(res, trunc);
        }
        else  /* e == UWORD(2) */
            nmod_poly_mullow(res, poly, poly, trunc);

        return;
    }

    if (poly->length < trunc)
    {
        p = _nmod_vec_init(trunc);
        flint_mpn_copyi(p, poly->coeffs, poly->length);
        flint_mpn_zero(p + poly->length, trunc - poly->length);
        pcopy = 1;
    } else
        p = poly->coeffs;

    if (res != poly || pcopy)
    {
        nmod_poly_fit_length(res, trunc);
        _nmod_poly_pow_trunc(res->coeffs, p, e, trunc, poly->mod);
    }
    else
    {
        nmod_poly_t t;
        nmod_poly_init2(t, poly->mod.n, trunc);
        _nmod_poly_pow_trunc(t->coeffs, p, e, trunc, poly->mod);
        nmod_poly_swap(res, t);
        nmod_poly_clear(t);
    }

    if (pcopy)
        _nmod_vec_clear(p);

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