2 rational.cc -- implement Rational
4 source file of the Flower Library
6 (c) 1997--2005 Han-Wen Nienhuys <hanwen@cs.uu.nl>
14 #include "string-convert.hh"
15 #include "libc-extension.hh"
17 Rational::operator double () const
19 return ((double)sign_) * num_ / den_;
22 Rational::operator bool () const
29 operator << (ostream &o, Rational r)
37 Rational::trunc_rat () const
39 return Rational (num_ - (num_ % den_), den_);
48 Rational::Rational (int n, int d)
50 sign_ = ::sign (n) * ::sign (d);
56 Rational::Rational (int n)
64 int gcd (int a, int b)
76 Rational::set_infinite (int s)
78 sign_ = ::sign (s) * 2;
82 Rational::operator - () const
90 Rational::div_rat (Rational div) const
94 return r.trunc_rat ();
98 Rational::mod_rat (Rational div) const
101 r = (r / div - r.div_rat (div)) * div;
106 Rational::normalise ()
125 int g = gcd (num_, den_);
132 Rational::sign () const
134 return ::sign (sign_);
138 Rational::compare (Rational const &r, Rational const &s)
140 if (r.sign_ < s.sign_)
142 else if (r.sign_ > s.sign_)
144 else if (r.is_infinity ())
146 else if (r.sign_ == 0)
148 return r.sign_ * ::sign (int (r.num_ * s.den_) - int (s.num_ * r.den_));
152 compare (Rational const &r, Rational const &s)
154 return Rational::compare (r, s);
158 Rational::operator %= (Rational r)
165 Rational::operator += (Rational r)
169 else if (r.is_infinity ())
173 int lcm = (den_ / gcd (r.den_, den_)) * r.den_;
174 int n = sign_ * num_ * (lcm / den_) + r.sign_ * r.num_ * (lcm / r.den_);
176 sign_ = ::sign (n) * ::sign (d);
185 copied from libg++ 2.8.0
187 Rational::Rational (double x)
195 double mantissa = frexp (x, &expt);
197 const int FACT = 1 << 20;
200 Thanks to Afie for this too simple idea.
202 do not blindly substitute by libg++ code, since that uses
203 arbitrary-size integers. The rationals would overflow too
207 num_ = (unsigned int) (mantissa * FACT);
208 den_ = (unsigned int) FACT;
234 Rational::operator *= (Rational r)
236 sign_ *= ::sign (r.sign_);
237 if (r.is_infinity ())
252 Rational::operator /= (Rational r)
265 Rational::operator -= (Rational r)
272 Rational::to_string () const
276 String s (sign_ > 0 ? "" : "-");
277 return String (s + "infinity");
280 String s = ::to_string (num ());
281 if (den () != 1 && num ())
282 s += "/" + ::to_string (den ());
287 Rational::to_int () const
289 return (int) num () / den ();
299 Rational::is_infinity () const
301 return sign_ == 2 || sign_ == -2;