93 lines
2.7 KiB
C
93 lines
2.7 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
|
||
|
|
||
|
******************************************************************************/
|
||
|
|
||
|
#include <gmp.h>
|
||
|
#include "flint.h"
|
||
|
#include "fmpz.h"
|
||
|
#include "fmpz_vec.h"
|
||
|
#include "fmpz_poly.h"
|
||
|
|
||
|
void
|
||
|
_fmpz_poly_pow(fmpz * res, const fmpz * poly, slong len, ulong e)
|
||
|
{
|
||
|
if (e < UWORD(5))
|
||
|
_fmpz_poly_pow_small(res, poly, len, e);
|
||
|
else if (len == 2)
|
||
|
_fmpz_poly_pow_binomial(res, poly, e);
|
||
|
else
|
||
|
{
|
||
|
ulong limbs = (ulong) _fmpz_vec_max_limbs(poly, len);
|
||
|
|
||
|
if (limbs < ((UWORD(3) * e) / UWORD(2) + UWORD(150)) / (ulong) len)
|
||
|
_fmpz_poly_pow_multinomial(res, poly, len, e);
|
||
|
else
|
||
|
_fmpz_poly_pow_binexp(res, poly, len, e);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
void
|
||
|
fmpz_poly_pow(fmpz_poly_t res, const fmpz_poly_t poly, ulong e)
|
||
|
{
|
||
|
const slong len = poly->length;
|
||
|
slong rlen;
|
||
|
|
||
|
if ((len < 2) | (e < UWORD(3)))
|
||
|
{
|
||
|
if (e == UWORD(0))
|
||
|
fmpz_poly_set_ui(res, 1);
|
||
|
else if (len == 0)
|
||
|
fmpz_poly_zero(res);
|
||
|
else if (len == 1)
|
||
|
{
|
||
|
fmpz_poly_fit_length(res, 1);
|
||
|
fmpz_pow_ui(res->coeffs, poly->coeffs, e);
|
||
|
_fmpz_poly_set_length(res, 1);
|
||
|
}
|
||
|
else if (e == UWORD(1))
|
||
|
fmpz_poly_set(res, poly);
|
||
|
else /* e == UWORD(2) */
|
||
|
fmpz_poly_sqr(res, poly);
|
||
|
return;
|
||
|
}
|
||
|
|
||
|
rlen = (slong) e * (len - 1) + 1;
|
||
|
|
||
|
if (res != poly)
|
||
|
{
|
||
|
fmpz_poly_fit_length(res, rlen);
|
||
|
_fmpz_poly_set_length(res, rlen);
|
||
|
_fmpz_poly_pow(res->coeffs, poly->coeffs, len, e);
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
fmpz_poly_t t;
|
||
|
fmpz_poly_init2(t, rlen);
|
||
|
_fmpz_poly_set_length(t, rlen);
|
||
|
_fmpz_poly_pow(t->coeffs, poly->coeffs, len, e);
|
||
|
fmpz_poly_swap(res, t);
|
||
|
fmpz_poly_clear(t);
|
||
|
}
|
||
|
}
|