/*============================================================================= 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) 2009, 2010, 2011 Sebastian Pancratz ******************************************************************************/ #ifndef FMPZ_POLY_Q_H #define FMPZ_POLY_Q_H #undef ulong #define ulong ulongxx /* interferes with system includes */ #include #undef ulong #include #define ulong mp_limb_t #include "flint.h" #include "fmpz.h" #include "fmpz_poly.h" #ifdef __cplusplus extern "C" { #endif typedef struct { fmpz_poly_struct *num; fmpz_poly_struct *den; } fmpz_poly_q_struct; typedef fmpz_poly_q_struct fmpz_poly_q_t[1]; /* Accessing numerator and denominator ***************************************/ #define fmpz_poly_q_numref(op) ((op)->num) #define fmpz_poly_q_denref(op) ((op)->den) void fmpz_poly_q_canonicalise(fmpz_poly_q_t rop); int fmpz_poly_q_is_canonical(const fmpz_poly_q_t op); /* Memory management *********************************************************/ void fmpz_poly_q_init(fmpz_poly_q_t rop); void fmpz_poly_q_clear(fmpz_poly_q_t rop); /* Randomisation *************************************************************/ void fmpz_poly_q_randtest(fmpz_poly_q_t poly, flint_rand_t state, slong len1, mp_bitcnt_t bits1, slong len2, mp_bitcnt_t bits2); void fmpz_poly_q_randtest_not_zero(fmpz_poly_q_t poly, flint_rand_t state, slong len1, mp_bitcnt_t bits1, slong len2, mp_bitcnt_t bits2); /* Assignment ****************************************************************/ void fmpz_poly_q_set(fmpz_poly_q_t rop, const fmpz_poly_q_t op); void fmpz_poly_q_set_si(fmpz_poly_q_t rop, slong op); void fmpz_poly_q_swap(fmpz_poly_q_t op1, fmpz_poly_q_t op2); static __inline__ void fmpz_poly_q_zero(fmpz_poly_q_t rop) { fmpz_poly_zero(rop->num); fmpz_poly_set_si(rop->den, 1); } static __inline__ void fmpz_poly_q_one(fmpz_poly_q_t rop) { fmpz_poly_set_si(rop->num, 1); fmpz_poly_set_si(rop->den, 1); } static __inline__ void fmpz_poly_q_neg(fmpz_poly_q_t rop, const fmpz_poly_q_t op) { fmpz_poly_neg(rop->num, op->num); fmpz_poly_set(rop->den, op->den); } void fmpz_poly_q_inv(fmpz_poly_q_t rop, const fmpz_poly_q_t op); /* Comparison ****************************************************************/ static __inline__ int fmpz_poly_q_is_zero(const fmpz_poly_q_t op) { return fmpz_poly_is_zero(op->num); } static __inline__ int fmpz_poly_q_is_one(const fmpz_poly_q_t op) { return fmpz_poly_is_one(op->num) && fmpz_poly_is_one(op->den); } static __inline__ int fmpz_poly_q_equal(const fmpz_poly_q_t op1, const fmpz_poly_q_t op2) { return fmpz_poly_equal(op1->num, op2->num) && fmpz_poly_equal(op1->den, op2->den); } /* Addition and subtraction **************************************************/ void fmpz_poly_q_add_in_place(fmpz_poly_q_t rop, const fmpz_poly_q_t op); void fmpz_poly_q_sub_in_place(fmpz_poly_q_t rop, const fmpz_poly_q_t op); void fmpz_poly_q_add(fmpz_poly_q_t rop, const fmpz_poly_q_t op1, const fmpz_poly_q_t op2); void fmpz_poly_q_sub(fmpz_poly_q_t rop, const fmpz_poly_q_t op1, const fmpz_poly_q_t op2); void fmpz_poly_q_addmul(fmpz_poly_q_t rop, const fmpz_poly_q_t op1, const fmpz_poly_q_t op2); void fmpz_poly_q_submul(fmpz_poly_q_t rop, const fmpz_poly_q_t op1, const fmpz_poly_q_t op2); /* Scalar multiplication and division ****************************************/ void fmpz_poly_q_scalar_mul_si(fmpz_poly_q_t rop, const fmpz_poly_q_t op, slong x); void fmpz_poly_q_scalar_mul_mpz(fmpz_poly_q_t rop, const fmpz_poly_q_t op, const mpz_t x); void fmpz_poly_q_scalar_mul_mpq(fmpz_poly_q_t rop, const fmpz_poly_q_t op, const mpq_t x); void fmpz_poly_q_scalar_div_si(fmpz_poly_q_t rop, const fmpz_poly_q_t op, slong x); void fmpz_poly_q_scalar_div_mpz(fmpz_poly_q_t rop, const fmpz_poly_q_t op, const mpz_t x); void fmpz_poly_q_scalar_div_mpq(fmpz_poly_q_t rop, const fmpz_poly_q_t op, const mpq_t x); /* Multiplication and division ***********************************************/ void fmpz_poly_q_mul(fmpz_poly_q_t rop, const fmpz_poly_q_t op1, const fmpz_poly_q_t op2); void fmpz_poly_q_div(fmpz_poly_q_t rop, const fmpz_poly_q_t op1, const fmpz_poly_q_t op2); /* Powering ******************************************************************/ void fmpz_poly_q_pow(fmpz_poly_q_t rop, const fmpz_poly_q_t op, ulong exp); /* Derivative ****************************************************************/ void fmpz_poly_q_derivative(fmpz_poly_q_t rop, const fmpz_poly_q_t op); /* Evaluation ****************************************************************/ int fmpz_poly_q_evaluate(mpq_t rop, const fmpz_poly_q_t f, const mpq_t a); /* Input and output **********************************************************/ int fmpz_poly_q_set_str(fmpz_poly_q_t rop, const char *s); char * fmpz_poly_q_get_str(const fmpz_poly_q_t op); char * fmpz_poly_q_get_str_pretty(const fmpz_poly_q_t op, const char *x); int fmpz_poly_q_print(const fmpz_poly_q_t op); int fmpz_poly_q_print_pretty(const fmpz_poly_q_t op, const char *x); #ifdef __cplusplus } #endif #endif