130 lines
3.8 KiB
C
130 lines
3.8 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 <stdlib.h>
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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_scalar_div_fmpq(fmpz * rpoly, fmpz_t rden,
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const fmpz * poly, const fmpz_t den, slong len,
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const fmpz_t r, const fmpz_t s)
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{
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fmpz_t gcd1; /* GCD( poly, r ) */
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fmpz_t gcd2; /* GCD( s, den ) */
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fmpz_init(gcd1);
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fmpz_init(gcd2);
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fmpz_one(gcd1);
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fmpz_one(gcd2);
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if (*r != WORD(1))
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{
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_fmpz_vec_content(gcd1, poly, len);
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if (*gcd1 != WORD(1))
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fmpz_gcd(gcd1, gcd1, r);
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}
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if (*den != WORD(1) && *s != WORD(1))
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fmpz_gcd(gcd2, s, den);
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if (*gcd1 == WORD(1))
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{
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if (*gcd2 == WORD(1))
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{
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_fmpz_vec_scalar_mul_fmpz(rpoly, poly, len, s);
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fmpz_mul(rden, den, r);
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}
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else
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{
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fmpz_t s2;
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fmpz_init(s2);
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fmpz_divexact(s2, s, gcd2);
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_fmpz_vec_scalar_mul_fmpz(rpoly, poly, len, s2);
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fmpz_divexact(rden, den, gcd2);
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fmpz_mul(rden, rden, r);
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fmpz_clear(s2);
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}
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}
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else
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{
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fmpz_t r2;
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fmpz_init(r2);
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fmpz_divexact(r2, r, gcd1);
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if (*gcd2 == WORD(1))
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{
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_fmpz_vec_scalar_divexact_fmpz(rpoly, poly, len, gcd1);
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_fmpz_vec_scalar_mul_fmpz(rpoly, rpoly, len, s);
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fmpz_mul(rden, den, r2);
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}
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else
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{
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fmpz_t s2;
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fmpz_init(s2);
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fmpz_divexact(s2, s, gcd2);
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_fmpz_vec_scalar_divexact_fmpz(rpoly, poly, len, gcd1);
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_fmpz_vec_scalar_mul_fmpz(rpoly, rpoly, len, s2);
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fmpz_divexact(rden, den, gcd2);
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fmpz_mul(rden, rden, r2);
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fmpz_clear(s2);
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}
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fmpz_clear(r2);
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}
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if (_fmpz_vec_is_zero(rpoly, len))
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fmpz_one(rden);
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if (fmpz_sgn(rden) < 0)
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{
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_fmpz_vec_neg(rpoly, rpoly, len);
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fmpz_neg(rden, rden);
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}
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fmpz_clear(gcd1);
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fmpz_clear(gcd2);
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}
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void fmpq_poly_scalar_div_fmpq(fmpq_poly_t rop, const fmpq_poly_t op, const fmpq_t c)
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{
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if (fmpq_is_zero(c))
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{
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flint_printf("Exception (fmpq_poly_scalar_div_fmpq). Division by zero.\n");
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abort();
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}
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if (fmpq_poly_is_zero(op))
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{
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fmpq_poly_zero(rop);
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}
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else
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{
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fmpq_poly_fit_length(rop, op->length);
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_fmpq_poly_set_length(rop, op->length);
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_fmpq_poly_scalar_div_fmpq(rop->coeffs, rop->den,
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op->coeffs, op->den, op->length,
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fmpq_numref(c), fmpq_denref(c));
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}
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}
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