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/*
Copyright (C) 2010 Sebastian Pancratz
Copyright (C) 2010 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 "fmpz_poly.h"
#include "fmpq.h"
void
_fmpz_poly_evaluate_horner_fmpq(fmpz_t rnum, fmpz_t rden,
const fmpz * f, slong len,
const fmpz_t anum, const fmpz_t aden)
{
if (len == 0)
{
fmpz_zero(rnum);
fmpz_one(rden);
}
else if (len == 1)
{
fmpz_set(rnum, f);
fmpz_one(rden);
}
else
{
slong i = len - 1;
fmpz_set(rnum, f + i);
fmpz_one(rden);
do
{
--i;
fmpz_mul(rnum, rnum, anum);
fmpz_mul(rden, rden, aden);
fmpz_addmul(rnum, rden, f + i);
if (fmpz_is_zero(rnum))
fmpz_one(rden);
}
while (i);
}
}
void
fmpz_poly_evaluate_horner_fmpq(fmpq_t res, const fmpz_poly_t f, const fmpq_t a)
{
if (res == a)
{
fmpq_t t;
fmpq_init(t);
fmpz_poly_evaluate_horner_fmpq(t, f, a);
fmpq_swap(res, t);
fmpq_clear(t);
}
else
{
_fmpz_poly_evaluate_horner_fmpq(fmpq_numref(res), fmpq_denref(res),
f->coeffs, f->length, fmpq_numref(a), fmpq_denref(a));
fmpq_canonicalise(res);
}
}