/*
    Copyright (C) 2009 William Hart
    Copyright (C) 2011 Sebastian Pancratz

    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 <limits.h>
#include "flint.h"
#include "fmpz.h"
#include "ulong_extras.h"

void fmpz_powm_ui(fmpz_t f, const fmpz_t g, ulong e, const fmpz_t m)
{
    if (fmpz_sgn(m) <= 0)
    {
        flint_printf("Exception (fmpz_powm_ui). Modulus is less than 1.\n");
        flint_abort();
    }

    if (fmpz_is_one(m))
    {
        fmpz_zero(f);
    }
    else if (e == 0)
    {
        fmpz_one(f);
    }
    else  /* e != 0, m > 0 */
    {
        fmpz g2 = *g;
        fmpz m2 = *m;

        if (!COEFF_IS_MPZ(m2))  /* m is small */
        {
            if (!COEFF_IS_MPZ(g2))  /* g is small */
            {
                mp_limb_t minv = n_preinvert_limb(m2);

                _fmpz_demote(f);

                if (g2 >= 0)
                {
                    g2 = n_mod2_preinv(g2, m2, minv);
                    *f = n_powmod2_ui_preinv(g2, e, m2, minv);
                }
                else
                {
                    g2 = n_mod2_preinv(-g2, m2, minv);
                    *f = n_powmod2_ui_preinv(g2, e, m2, minv);
                    if ((e & UWORD(1)))
                        *f = n_negmod(*f, m2);
                }
            }
            else  /* g is large */
            {
                __mpz_struct *ptr = _fmpz_promote(f);
                mpz_t m3;

                flint_mpz_init_set_ui(m3, m2);
                flint_mpz_powm_ui(ptr, COEFF_TO_PTR(g2), e, m3);
                mpz_clear(m3);

                _fmpz_demote_val(f);
            }
        }
        else  /* m is large */
        {
            if (!COEFF_IS_MPZ(g2))  /* g is small */
            {
                __mpz_struct *ptr = _fmpz_promote(f);
                mpz_t g3;

                flint_mpz_init_set_si(g3, g2);
                flint_mpz_powm_ui(ptr, g3, e, COEFF_TO_PTR(m2));
                mpz_clear(g3);

                _fmpz_demote_val(f);
            }
            else  /* g is large */
            {
               __mpz_struct *ptr = _fmpz_promote(f);

                flint_mpz_powm_ui(ptr, COEFF_TO_PTR(g2), e, COEFF_TO_PTR(m2));

                _fmpz_demote_val(f);
            }
        }
    }
}