155 lines
4.8 KiB
C
155 lines
4.8 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_vec.h"
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#include "fmpq_poly.h"
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void _fmpq_poly_add_can(fmpz * rpoly, fmpz_t rden,
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const fmpz * poly1, const fmpz_t den1, slong len1,
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const fmpz * poly2, const fmpz_t den2, slong len2, int can)
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{
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slong max = FLINT_MAX(len1, len2);
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slong min = FLINT_MIN(len1, len2);
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fmpz_t d;
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fmpz_init(d);
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fmpz_one(d);
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if (*den1 != WORD(1) && *den2 != WORD(1))
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fmpz_gcd(d, den1, den2);
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if (*d == WORD(1))
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{
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_fmpz_vec_scalar_mul_fmpz(rpoly, poly1, len1, den2);
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_fmpz_vec_scalar_addmul_fmpz(rpoly, poly2, min, den1);
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if (len1 < len2)
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_fmpz_vec_scalar_mul_fmpz(rpoly + min, poly2 + min, max - min, den1);
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fmpz_mul(rden, den1, den2);
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}
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else
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{
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fmpz_t den11;
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fmpz_t den22;
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fmpz_init(den11);
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fmpz_init(den22);
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fmpz_divexact(den11, den1, d);
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fmpz_divexact(den22, den2, d);
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_fmpz_vec_scalar_mul_fmpz(rpoly, poly1, len1, den22);
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_fmpz_vec_scalar_addmul_fmpz(rpoly, poly2, len2, den11);
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if (len1 < len2)
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_fmpz_vec_scalar_mul_fmpz(rpoly + min, poly2 + min, max - min, den11);
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if (_fmpz_vec_is_zero(rpoly, max))
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fmpz_one(rden);
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else
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{
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if (can)
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{
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fmpz_t e;
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fmpz_init(e);
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_fmpz_vec_content(e, rpoly, max);
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if (*e != WORD(1))
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fmpz_gcd(e, e, d);
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if (*e == WORD(1))
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fmpz_mul(rden, den1, den22);
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else
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{
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_fmpz_vec_scalar_divexact_fmpz(rpoly, rpoly, max, e);
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fmpz_divexact(den11, den1, e);
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fmpz_mul(rden, den11, den22);
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}
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fmpz_clear(e);
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} else
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fmpz_mul(rden, den1, den22);
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}
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fmpz_clear(den11);
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fmpz_clear(den22);
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}
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fmpz_clear(d);
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}
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void _fmpq_poly_add(fmpz * rpoly, fmpz_t rden,
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const fmpz * poly1, const fmpz_t den1, slong len1,
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const fmpz * poly2, const fmpz_t den2, slong len2)
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{
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_fmpq_poly_add_can(rpoly, rden, poly1, den1, len1, poly2, den2, len2, 1);
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}
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void fmpq_poly_add_can(fmpq_poly_t res, const fmpq_poly_t poly1,
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const fmpq_poly_t poly2, int can)
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{
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slong len1 = poly1->length, len2, max;
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if (poly1 == poly2) /* Set res = 2 * poly1 */
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{
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fmpz_t rem;
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fmpz_init(rem);
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fmpz_mod_ui(rem, poly1->den, 2);
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fmpq_poly_fit_length(res, len1);
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_fmpq_poly_set_length(res, len1);
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if (*rem == UWORD(0))
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{
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_fmpz_vec_set(res->coeffs, poly1->coeffs, len1);
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fmpz_fdiv_q_2exp(res->den, poly1->den, 1);
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}
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else
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{
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_fmpz_vec_scalar_mul_2exp(res->coeffs, poly1->coeffs, len1, 1);
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fmpz_set(res->den, poly1->den);
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}
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fmpz_clear(rem);
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return;
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}
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len2 = poly2->length;
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max = FLINT_MAX(len1, len2);
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fmpq_poly_fit_length(res, max);
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if (res != poly2)
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_fmpq_poly_add_can(res->coeffs, res->den,
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poly1->coeffs, poly1->den, len1,
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poly2->coeffs, poly2->den, len2, can);
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else
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_fmpq_poly_add_can(res->coeffs, res->den,
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poly2->coeffs, poly2->den, len2,
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poly1->coeffs, poly1->den, len1, can);
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_fmpq_poly_set_length(res, max);
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_fmpq_poly_normalise(res);
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}
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void fmpq_poly_add(fmpq_poly_t res, const fmpq_poly_t poly1,
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const fmpq_poly_t poly2)
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{
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fmpq_poly_add_can(res, poly1, poly2, 1);
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}
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