Version 5.0 The LEDA User Manual

5.2 Rational Numbers ( rational )
1. Definition
An instance q of type rational is a rational number where the numerator and the denominator
are both of type integer.
#include < LEDA/numbers/rational.h >
2. Creation
rational q; creates an instance q of type rational.
rational
rational
rational
q(integer n);
q(integer n, integer d);
q(double x);
creates an instance q of type rational and initializes it with the
integer n.
creates an instance q of type rational and initializes it to the rational
number n/d.
creates an instance q of type rational and initializes it with the
value of x.
3. Operations
The arithmetic operations +, −, ∗, /, + =, − =, ∗ =, / =, −(unary), ++, −−, the
comparison operations =, ==, ! = and the stream operations are all available.
void q.negate( ) negates q.
void q.invert( ) inverts q.
rational q.inverse( ) returns the inverse of q.
integer q.numerator( ) returns the numerator of q.
integer q.denominator( ) returns the denominator of q.
rational& q.simplify(const integer& a)
rational& q.normalize( ) normalizes q.
simplifies q by a.
Precondition: a divides the numerator and the denominator
of q.