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rational Class Template Reference

Implementation of a Rational Number. More...

#include <rational.h>

List of all members.

Public Methods
	rational ()
	rational (char *str)
	rational (const rational< T > &b)
	rational (int w)
	rational (T w)
	rational (T u, T v)
rational< T > &	operator= (const rational< T > &b)
Friends
ostream &	operator<< (ostream &s, const rational< T > &x)
istream &	operator>> (istream &s, rational< T > &x)
int	sign (const rational< T > &a)
int	cmp (const rational< T > &a, const rational< T > &b)
int	operator== (const rational< T > &a, const rational< T > &b)
int	operator!= (const rational< T > &a, const rational< T > &b)
int	operator> (const rational< T > &a, const rational< T > &b)
int	operator>= (const rational< T > &a, const rational< T > &b)
int	operator< (const rational< T > &a, const rational< T > &b)
int	operator<= (const rational< T > &a, const rational< T > &b)
int	is_integer (const rational< T > &a)
rational< T >	ceil (const rational< T > &a)
rational< T >	floor (const rational< T > &a)
rational< T >	frac (const rational< T > &a)
T	iceil (const rational< T > &a)
T	ifloor (const rational< T > &a)
rational< T >	operator+ (const rational< T > &a)
rational< T >	operator- (const rational< T > &a)
rational< T >	operator+ (const rational< T > &b, const rational< T > &c)
rational< T >	operator- (const rational< T > &b, const rational< T > &c)
rational< T >	operator * (const rational< T > &b, const rational< T > &c)
rational< T >	operator/ (const rational< T > &b, const rational< T > &c)
int	sign (const rational< T > &a)
int	cmp (const rational< T > &a, const rational< T > &b)
rational< T >	operator+ (const rational< T > &a)
rational< T >	operator- (const rational< T > &a)

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Detailed Description

template<class T>
class rational< T >

Implementation of a Rational Number.

An instance of this type is a rational number where the numerator and the denominator are both of type T.

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Constructor & Destructor Documentation

template<class T> rational< T >::rational (  )

Creates an instance of type rational.

template<class T> rational< T >::rational (  char * str )

Converts s to a rational number.

template<class T> rational< T >::rational (  const rational< T > & b )

Makes a copy of a number.

template<class T> rational< T >::rational (  int w )

Creates an instance and initializes it with the value of w.

template<class T> rational< T >::rational (  T w )

Creates an instance and initializes it with the value of w.

template<class T> rational< T >::rational (  T u, T v )

Creates an instance and initializes it with the value of u/w.

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Member Function Documentation

template<class T> rational< T > & rational< T >::operator= (  const rational< T > & b )

Assignment.

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Friends And Related Function Documentation

template<class T> rational<T> ceil (  const rational< T > & a )  [friend]

Returns the next bigger integer.

template<class T> int cmp (  const rational< T > & a, const rational< T > & b )  [friend]

Returns 0 if a = b, -1 if a < b, 1 if a > b.

template<class T> int cmp (  const rational< T > & a, const rational< T > & b )  [friend]

Compares two big integers. Returns 0 if a = b, -1 if a < b, 1 if a > b.

template<class T> rational<T> floor (  const rational< T > & a )  [friend]

Returns the next smaller integer.

template<class T> rational<T> frac (  const rational< T > & a )  [friend]

Returns the fractal part of the number.

template<class T> T iceil (  const rational< T > & a )  [friend]

Returns the next bigger integer.

template<class T> T ifloor (  const rational< T > & a )  [friend]

Returns the next smaller integer.

template<class T> int is_integer (  const rational< T > & a )  [friend]

Returns 1 if a is integer.

template<class T> rational<T> operator * (  const rational< T > & b, const rational< T > & c )  [friend]

Multiplication.

template<class T> int operator!= (  const rational< T > & a, const rational< T > & b )  [friend]

Test for inequality.

template<class T> rational<T> operator+ (  const rational< T > & a )  [friend]

Unary plus.

template<class T> rational<T> operator+ (  const rational< T > & b, const rational< T > & c )  [friend]

Binary plus.

template<class T> rational<T> operator+ (  const rational< T > & a )  [friend]

Unary plus.

template<class T> rational<T> operator- (  const rational< T > & b )  [friend]

Unary minus.

template<class T> rational<T> operator- (  const rational< T > & b, const rational< T > & c )  [friend]

Binary minus.

template<class T> rational<T> operator- (  const rational< T > & b )  [friend]

Unary minus.

template<class T> rational<T> operator/ (  const rational< T > & b, const rational< T > & c )  [friend]

Divizion.

template<class T> int operator< (  const rational< T > & a, const rational< T > & b )  [friend]

Test for less.

template<class T> ostream& operator<< (  ostream & s, const rational< T > & x )  [friend]

Writes a rational number.

template<class T> int operator<= (  const rational< T > & a, const rational< T > & b )  [friend]

Test for less than or equal to.

template<class T> int operator== (  const rational< T > & a, const rational< T > & b )  [friend]

Test for equality.

template<class T> int operator> (  const rational< T > & a, const rational< T > & b )  [friend]

Test for greater.

template<class T> int operator>= (  const rational< T > & a, const rational< T > & b )  [friend]

Test for greater than or equal to.

template<class T> istream& operator>> (  istream & s, rational< T > & x )  [friend]

Reads a rational number.

template<class T> int sign (  const rational< T > & a )  [friend]

Returns 0 if x = 0, -1 if x < 0, 1 if x > 0.

template<class T> int sign (  const rational< T > & a )  [friend]

Sign of a number. Returns 0 if x = 0, -1 if x < 0, 1 if x > 0.

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The documentation for this class was generated from the following file:

• rational.h

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