115 lines
3.6 KiB
C
115 lines
3.6 KiB
C
/*=============================================================================
|
|
|
|
This file is part of FLINT.
|
|
|
|
FLINT is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
FLINT is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with FLINT; if not, write to the Free Software
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
|
|
|
=============================================================================*/
|
|
/******************************************************************************
|
|
|
|
Copyright (C) 2010 Sebastian Pancratz
|
|
Copyright (C) 2011 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include <gmp.h>
|
|
#include "flint.h"
|
|
#include "fmpz.h"
|
|
#include "fmpz_vec.h"
|
|
#include "fmpz_poly.h"
|
|
#include "fmpq_poly.h"
|
|
|
|
void
|
|
_fmpq_poly_compose_series(fmpz * res, fmpz_t den, const fmpz * poly1,
|
|
const fmpz_t den1, slong len1, const fmpz * poly2,
|
|
const fmpz_t den2, slong len2, slong n)
|
|
{
|
|
if (len1 <= 20)
|
|
_fmpq_poly_compose_series_horner(res, den, poly1, den1, len1,
|
|
poly2, den2, len2, n);
|
|
else
|
|
_fmpq_poly_compose_series_brent_kung(res, den, poly1, den1, len1,
|
|
poly2, den2, len2, n);
|
|
}
|
|
|
|
void
|
|
fmpq_poly_compose_series(fmpq_poly_t res,
|
|
const fmpq_poly_t poly1, const fmpq_poly_t poly2, slong n)
|
|
{
|
|
slong len1 = poly1->length;
|
|
slong len2 = poly2->length;
|
|
slong lenr;
|
|
|
|
if (len2 != 0 && !fmpz_is_zero(poly2->coeffs))
|
|
{
|
|
flint_printf("Exception (fmpq_poly_compose_series). Inner polynomial \n"
|
|
"must have zero constant term,\n");
|
|
abort();
|
|
}
|
|
|
|
if (len1 == 0 || n == 0)
|
|
{
|
|
fmpq_poly_zero(res);
|
|
return;
|
|
}
|
|
|
|
if (len2 == 0 || len1 == 1)
|
|
{
|
|
fmpq_poly_fit_length(res, 1);
|
|
fmpz_set(res->coeffs, poly1->coeffs);
|
|
fmpz_set(res->den, poly1->den);
|
|
{
|
|
fmpz_t d;
|
|
fmpz_init(d);
|
|
fmpz_gcd(d, res->coeffs, res->den);
|
|
if (!fmpz_is_one(d))
|
|
{
|
|
fmpz_divexact(res->coeffs, res->coeffs, d);
|
|
fmpz_divexact(res->den, res->den, d);
|
|
}
|
|
fmpz_clear(d);
|
|
}
|
|
_fmpq_poly_set_length(res, 1);
|
|
_fmpq_poly_normalise(res);
|
|
return;
|
|
}
|
|
|
|
lenr = FLINT_MIN((len1 - 1) * (len2 - 1) + 1, n);
|
|
len1 = FLINT_MIN(len1, lenr);
|
|
len2 = FLINT_MIN(len2, lenr);
|
|
|
|
if ((res != poly1) && (res != poly2))
|
|
{
|
|
fmpq_poly_fit_length(res, lenr);
|
|
_fmpq_poly_compose_series(res->coeffs, res->den,
|
|
poly1->coeffs, poly1->den, len1,
|
|
poly2->coeffs, poly2->den, len2, lenr);
|
|
_fmpq_poly_set_length(res, lenr);
|
|
_fmpq_poly_normalise(res);
|
|
}
|
|
else
|
|
{
|
|
fmpq_poly_t t;
|
|
fmpq_poly_init2(t, lenr);
|
|
_fmpq_poly_compose_series(t->coeffs, t->den,
|
|
poly1->coeffs, poly1->den, len1,
|
|
poly2->coeffs, poly2->den, len2, lenr);
|
|
_fmpq_poly_set_length(t, lenr);
|
|
_fmpq_poly_normalise(t);
|
|
fmpq_poly_swap(res, t);
|
|
fmpq_poly_clear(t);
|
|
}
|
|
}
|