/*
    Copyright (C) 2011 William Hart
    Copyright (C) 2011 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"


void
_nmod_poly_sqrt_series(mp_ptr g, mp_srcptr h, slong n, nmod_t mod)
{
    mp_ptr t = _nmod_vec_init(n);
    _nmod_poly_invsqrt_series(t, h, n, mod);
    _nmod_poly_mullow(g, t, n, h, n, n, mod);
    _nmod_vec_clear(t);
}

void
nmod_poly_sqrt_series(nmod_poly_t g, const nmod_poly_t h, slong n)
{
    mp_ptr g_coeffs, h_coeffs;
    nmod_poly_t t1;
    slong hlen;
    
    hlen = h->length;

    if (n == 0)
    {
        flint_printf("Exception (nmod_poly_sqrt_series). Division by zero.\n");
        flint_abort();
    }

    if (h->length == 0 || h->coeffs[0] != UWORD(1))
    {
        flint_printf("Exception (nmod_poly_sqrt_series). Requires constant term 1.\n");
        flint_abort();
    }

    if (hlen < n)
    {
        h_coeffs = _nmod_vec_init(n);
        flint_mpn_copyi(h_coeffs, h->coeffs, hlen);
        flint_mpn_zero(h_coeffs + hlen, n - hlen);
    }
    else
        h_coeffs = h->coeffs;

    if (h == g && hlen >= n)
    {
        nmod_poly_init2(t1, h->mod.n, n);
        g_coeffs = t1->coeffs;
    }
    else
    {
        nmod_poly_fit_length(g, n);
        g_coeffs = g->coeffs;
    }

    _nmod_poly_sqrt_series(g_coeffs, h_coeffs, n, h->mod);

    if (h == g && hlen >= n)
    {
        nmod_poly_swap(g, t1);
        nmod_poly_clear(t1);
    }
    
    g->length = n;

    if (hlen < n)
        _nmod_vec_clear(h_coeffs);

    _nmod_poly_normalise(g);
}