Version 5.0 The LEDA User Manual

double to float( ) returns a double floating point approximation of
q. If the q is approximable by a normalized, finite
floating point number, the error is 3ulps, i.e., three
units in the last place.
string q.to string( ) returns a string representation of q.
Non-member functions
int sign(const rational& q) returns the sign of q.
rational abs(const rational& q) returns the absolute value of q.
rational sqr(const rational& q) returns the square of q.
integer trunc(const rational& q) returns the integer with the next smaller absolute
value.
rational pow(const rational& q, int n)
rational pow(const rational& q, integer a)
returns the n-th power of q.
returns the a-th power of q.
integer floor(const rational& q) returns the next smaller integer.
integer ceil(const rational& q) returns the next bigger integer.
integer round(const rational& q) rounds q to the nearest integer.
rational small rational between(const rational& p, const rational& q)
returns a rational number between p and q whose
denominator is as small as possible.
rational
small rational near(const rational& p, rational eps)
returns a rational number between p − eps and
p + eps whose denominator is as small as possible.
4. Implementation
A rational is implemented by two integer numbers which represent the numerator and
the denominator. The sign is represented by the sign of the numerator.