95 lines
2.6 KiB
C
95 lines
2.6 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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******************************************************************************/
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#include <gmp.h>
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#include "flint.h"
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#include "fmpz.h"
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#include "fmpz_poly.h"
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void
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_fmpz_poly_evaluate_horner_mpq(fmpz_t rnum, fmpz_t rden,
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const fmpz * f, slong len,
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const fmpz_t anum, const fmpz_t aden)
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{
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if (len == 0)
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{
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fmpz_zero(rnum);
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fmpz_one(rden);
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}
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else if (len == 1)
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{
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fmpz_set(rnum, f);
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fmpz_one(rden);
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}
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else
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{
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slong i = len - 1;
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fmpz_t d;
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fmpz_init(d);
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fmpz_set(rnum, f + i);
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fmpz_one(rden);
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do
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{
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--i;
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fmpz_mul(rnum, rnum, anum);
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fmpz_mul(rden, rden, aden);
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{
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fmpz_gcd(d, rnum, rden);
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fmpz_divexact(rnum, rnum, d);
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fmpz_divexact(rden, rden, d);
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}
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fmpz_addmul(rnum, rden, f + i);
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if (*rnum == WORD(0))
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fmpz_one(rden);
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} while (i);
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fmpz_clear(d);
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}
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}
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void
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fmpz_poly_evaluate_horner_mpq(mpq_t res, const fmpz_poly_t f, const mpq_t a)
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{
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fmpz_t rnum, rden, anum, aden;
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fmpz_init(rnum);
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fmpz_init(rden);
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fmpz_init(anum);
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fmpz_init(aden);
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fmpz_set_mpz(anum, mpq_numref(a));
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fmpz_set_mpz(aden, mpq_denref(a));
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_fmpz_poly_evaluate_horner_mpq(rnum, rden, f->coeffs, f->length, anum, aden);
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fmpz_get_mpz(mpq_numref(res), rnum);
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fmpz_get_mpz(mpq_denref(res), rden);
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fmpz_clear(rnum);
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fmpz_clear(rden);
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fmpz_clear(anum);
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fmpz_clear(aden);
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}
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