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/*
Copyright 2015 Ian Jauslin
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/
/*
Rational numbers
uses long doubles to represent integers (to avoid overflow)
*/
#ifdef RATIONAL_AS_FLOAT
#ifndef RATIONAL_H
#define RATIONAL_H
#include "types.h"
// Q from int/int
Q quot(long double p, long double q);
// add
Q Q_add(Q x1,Q x2);
//multiply
Q Q_prod(Q x1,Q x2);
// inverse
Q Q_inverse(Q x1);
// quotient
Q Q_quot(Q x1, Q x2);
// compare
int Q_cmp(Q x1, Q x2);
// simplify
Q Q_simplify(Q x);
//simplify in place
int Q_simplify_inplace(Q* x);
// greatest common divisor
long double gcd(long double x,long double y);
long double modld(long double x, long double m);
// least common multiple
long double lcm(long double x,long double y);
// approximate value as double
double Q_double_value(Q q);
// approximate value as mpfr float
int Q_mpfr_value(mpfr_t out, Q q);
// print to string
int Q_sprint(Q num, Char_Array* out);
// read from a string
int str_to_Q(char* str, Q* num);
#endif
#endif
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