CGAL 4.14 - Number Types
Relates Rational

## Classes

class  CGAL::Rational_traits< NT >
The class Rational_traits can be used to determine the type of the numerator and denominator of a rational number type as Quotient, Gmpq, mpq_class or leda_rational. More...

## Functions

template<typename Rational >
Rational CGAL::simplest_rational_in_interval (double d1, double d2)
computes the rational number with the smallest denominator in the interval [d1,d2]. More...

template<typename Rational >
Rational CGAL::to_rational (double d)
computes the rational number that equals d. More...

## ◆ simplest_rational_in_interval()

template<typename Rational >
 Rational CGAL::simplest_rational_in_interval ( double d1, double d2 )

#include <CGAL/simplest_rational_in_interval.h>

computes the rational number with the smallest denominator in the interval [d1,d2].

Computes the simplest rational number in an interval of two double values.

Implementation

See Knuth, "Seminumerical algorithms", page 654, answer to exercise 4.53-39.

CGAL::to_rational()

## ◆ to_rational()

template<typename Rational >
 Rational CGAL::to_rational ( double d )

#include <CGAL/to_rational.h>

computes the rational number that equals d.

Computes the rational number representing a given double precision floating point number.

CGAL::simplest_rational_in_interval()