191 lines
4.9 KiB
C
191 lines
4.9 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2010 Sebastian Pancratz
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Copyright (C) 2010 William Hart
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Copyright (C) 2011 Fredrik Johansson
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******************************************************************************/
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#include <stdlib.h>
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#include <gmp.h>
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#include "flint.h"
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#include "nmod_vec.h"
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#include "nmod_poly.h"
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static __inline__ mp_limb_t
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n_powmod2_mpz(mp_limb_t a, mpz_srcptr exp, mp_limb_t n, mp_limb_t ninv)
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{
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if (mpz_fits_slong_p(exp))
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{
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return n_powmod2_preinv(a, flint_mpz_get_si(exp), n, ninv);
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}
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else
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{
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mpz_t t, m;
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mp_limb_t y;
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mpz_init(t);
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mpz_init(m);
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flint_mpz_set_ui(t, a);
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flint_mpz_set_ui(m, n);
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mpz_powm(t, t, exp, m);
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y = flint_mpz_get_ui(t);
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mpz_clear(t);
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mpz_clear(m);
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return y;
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}
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}
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void
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_nmod_poly_powmod_mpz_binexp(mp_ptr res, mp_srcptr poly,
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mpz_srcptr e, mp_srcptr f,
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slong lenf, nmod_t mod)
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{
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mp_ptr T, Q;
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slong lenT, lenQ;
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slong i;
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if (lenf == 2)
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{
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res[0] = n_powmod2_mpz(poly[0], e, mod.n, mod.ninv);
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return;
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}
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lenT = 2 * lenf - 3;
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lenQ = lenT - lenf + 1;
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T = _nmod_vec_init(lenT + lenQ);
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Q = T + lenT;
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_nmod_vec_set(res, poly, lenf - 1);
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for (i = mpz_sizeinbase(e, 2) - 2; i >= 0; i--)
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{
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_nmod_poly_mul(T, res, lenf - 1, res, lenf - 1, mod);
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_nmod_poly_divrem(Q, res, T, 2 * lenf - 3, f, lenf, mod);
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if (mpz_tstbit(e, i))
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{
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_nmod_poly_mul(T, res, lenf - 1, poly, lenf - 1, mod);
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_nmod_poly_divrem(Q, res, T, 2 * lenf - 3, f, lenf, mod);
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}
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}
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_nmod_vec_clear(T);
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}
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void
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nmod_poly_powmod_mpz_binexp(nmod_poly_t res,
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const nmod_poly_t poly, mpz_srcptr e,
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const nmod_poly_t f)
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{
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mp_ptr p;
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slong len = poly->length;
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slong lenf = f->length;
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slong trunc = lenf - 1;
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int pcopy = 0;
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if (lenf == 0)
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{
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flint_printf("Exception (nmod_poly_powmod). Divide by zero.\n");
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abort();
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}
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if (mpz_sgn(e) < 0)
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{
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flint_printf("Exception (nmod_poly_powmod). Negative exp not implemented.\n");
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abort();
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}
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if (len >= lenf)
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{
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nmod_poly_t t, r;
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nmod_poly_init_preinv(t, res->mod.n, res->mod.ninv);
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nmod_poly_init_preinv(r, res->mod.n, res->mod.ninv);
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nmod_poly_divrem(t, r, poly, f);
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nmod_poly_powmod_mpz_binexp(res, r, e, f);
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nmod_poly_clear(t);
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nmod_poly_clear(r);
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return;
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}
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if (mpz_fits_ulong_p(e))
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{
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ulong exp = flint_mpz_get_ui(e);
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if (exp <= 2)
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{
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if (exp == UWORD(0))
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{
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nmod_poly_fit_length(res, 1);
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res->coeffs[0] = UWORD(1);
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res->length = 1;
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}
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else if (exp == UWORD(1))
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{
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nmod_poly_set(res, poly);
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}
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else
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nmod_poly_mulmod(res, poly, poly, f);
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return;
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}
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}
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if (lenf == 1 || len == 0)
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{
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nmod_poly_zero(res);
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return;
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}
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if (poly->length < trunc)
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{
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p = _nmod_vec_init(trunc);
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flint_mpn_copyi(p, poly->coeffs, poly->length);
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flint_mpn_zero(p + poly->length, trunc - poly->length);
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pcopy = 1;
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} else
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p = poly->coeffs;
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if ((res == poly && !pcopy) || (res == f))
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{
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nmod_poly_t t;
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nmod_poly_init2(t, poly->mod.n, trunc);
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_nmod_poly_powmod_mpz_binexp(t->coeffs,
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p, e, f->coeffs, lenf, poly->mod);
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nmod_poly_swap(res, t);
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nmod_poly_clear(t);
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}
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else
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{
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nmod_poly_fit_length(res, trunc);
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_nmod_poly_powmod_mpz_binexp(res->coeffs,
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p, e, f->coeffs, lenf, poly->mod);
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}
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if (pcopy)
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_nmod_vec_clear(p);
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res->length = trunc;
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_nmod_poly_normalise(res);
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}
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