/*
    Copyright (C) 2009 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 <stdio.h>
#include <gmp.h>
#include "flint.h"
#include "ulong_extras.h"
#include "fmpz.h"

void
_fmpz_CRT_ui_precomp(fmpz_t out, const fmpz_t r1, const fmpz_t m1, ulong r2,
    ulong m2, mp_limb_t m2inv, const fmpz_t m1m2, mp_limb_t c, int sign)
{
    mp_limb_t r1mod, s;
    fmpz_t tmp;

    fmpz_init(tmp);

    if (fmpz_sgn(r1) < 0)
        fmpz_add(tmp, r1, m1);
    else
        fmpz_set(tmp, r1);

    r1mod = fmpz_fdiv_ui(tmp, m2);
    s = n_submod(r2, r1mod, m2);
    s = n_mulmod2_preinv(s, c, m2, m2inv);
    fmpz_addmul_ui(tmp, m1, s);

    if (sign)
    {
        fmpz_sub(out, tmp, m1m2);
        if (fmpz_cmpabs(tmp, out) <= 0)
            fmpz_swap(out, tmp);
    }
    else
    {
        fmpz_swap(out, tmp);
    }

    fmpz_clear(tmp);
}

void fmpz_CRT_ui(fmpz_t out, const fmpz_t r1, const fmpz_t m1,
    ulong r2, ulong m2, int sign)
{
    mp_limb_t c;
    fmpz_t m1m2;

    c = fmpz_fdiv_ui(m1, m2);
    c = n_invmod(c, m2);

    if (c == 0)
    {
        flint_printf("Exception (fmpz_CRT_ui). m1 not invertible modulo m2.\n");
        flint_abort();
    }

    fmpz_init(m1m2);
    fmpz_mul_ui(m1m2, m1, m2);

    _fmpz_CRT_ui_precomp(out, r1, m1, r2, m2, n_preinvert_limb(m2),
        m1m2, c, sign);

    fmpz_clear(m1m2);
}