2 rational.cc -- implement Rational
4 source file of the Flower Library
6 (c) 1997--1999 Han-Wen Nienhuys <hanwen@cs.uu.nl>
11 #include "string-convert.hh"
12 #include "libc-extension.hh"
14 Rational::operator bool () const
19 Rational::operator int () const
21 return sign_ * num_ / den_;
24 Rational::operator double () const
26 return (double)sign_ * num_ / den_;
30 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 (Rational const &r)
62 int gcd (int a, int b)
74 int lcm (int a, int b)
76 return abs (a*b / gcd (a,b));
80 Rational::set_infinite (int s)
82 sign_ = ::sign (s) * 2;
86 Rational::operator - () const
94 Rational::div_rat (Rational div) const
98 return r.trunc_rat ();
102 Rational::mod_rat (Rational div) const
105 r = (r / div - r.div_rat (div)) * div;
110 Rational::normalise ()
123 int g = gcd (num_ , den_);
130 Rational::sign () const
132 return ::sign (sign_);
136 Rational::infty_b () const
138 return abs (sign_) > 1;
142 Rational::compare (Rational const &r, Rational const &s)
144 if (r.sign_ < s.sign_)
146 else if (r.sign_ > s.sign_)
148 else if (r.infty_b ())
151 return (r - s).sign ();
155 compare (Rational const &r, Rational const &s)
157 return Rational::compare (r, s );
161 Rational::operator %= (Rational r)
163 *this = r.mod_rat (r);
168 Rational::operator += (Rational r)
172 else if (r.infty_b ())
178 int n = sign_ * num_ *r.den_ + r.sign_ * den_ * r.num_;
179 int d = den_ * r.den_;
180 sign_ = ::sign (n) * ::sign(d);
190 copied from libg++ 2.8.0
192 Rational::Rational(double x)
200 double mantissa = frexp(x, &expt);
202 const int FACT = 1 << 20;
205 Thanks to Afie for this too simple idea.
207 do not blindly substitute by libg++ code, since that uses
208 arbitrary-size integers. The rationals would overflow too
212 num_ = (unsigned int) (mantissa * FACT);
213 den_ = (unsigned int) FACT;
240 Rational::operator *= (Rational r)
242 sign_ *= ::sign (r.sign_);
258 Rational::operator /= (Rational r)
271 Rational::operator -= (Rational r)
278 be paranoid about overiding libg++ stuff
281 Rational::operator = (Rational const &r)
288 Rational::str () const
292 String s (sign_ > 0 ? "" : "-" );
293 return String (s + "infinity");
295 String s = to_str (num ());
296 if (den () != 1 && num ())
297 s += "/" + to_str (den ());