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/*
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 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "ulong_extras.h"
#include "fmpq.h"
void
_fmpq_next_minimal(fmpz_t rnum, fmpz_t rden,
const fmpz_t num, const fmpz_t den)
{
fmpz p, q;
p = *num;
q = *den;
if (!COEFF_IS_MPZ(p) && !COEFF_IS_MPZ(q))
{
if (p < q && p)
{
fmpz_set_ui(rnum, q);
fmpz_set_ui(rden, p);
return;
}
while (q < p)
{
q++;
if (n_gcd(p, q) == 1)
{
fmpz_set_ui(rnum, q);
fmpz_set_ui(rden, p);
return;
}
}
fmpz_one(rnum);
fmpz_set_ui(rden, p + 1);
}
else
{
fmpz_t t;
if (fmpz_cmp(num, den) < 0)
{
fmpz_set(rnum, num);
fmpz_set(rden, den);
fmpz_swap(rnum, rden);
return;
}
fmpz_init(t);
fmpz_set(rnum, num);
fmpz_set(rden, den);
while (fmpz_cmp(rden, rnum) < 0)
{
fmpz_add_ui(rden, rden, 1);
fmpz_gcd(t, rden, rnum);
if (fmpz_is_one(t))
{
fmpz_swap(rnum, rden);
fmpz_clear(t);
return;
}
}
fmpz_add_ui(rden, rden, 1);
fmpz_one(rnum);
fmpz_clear(t);
}
}
void
fmpq_next_minimal(fmpq_t res, const fmpq_t x)
{
_fmpq_next_minimal(fmpq_numref(res), fmpq_denref(res),
fmpq_numref(x), fmpq_denref(x));
}