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/* GNU Ocrad - Optical Character Recognition program
Copyright (C) 2003, 2004, 2005, 2006, 2007 Antonio Diaz Diaz.
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
// Rationals are kept normalized at all times.
// Invariant = ( gcd( num, den ) == 1 && den > 0 ).
//
class Rational
{
int num, den;
void normalize() throw();
public:
explicit Rational( const int n = 0 ) throw() : num( n ), den( 1 ) {}
Rational( const int n, const int d ) throw() : num( n ), den( d ) { normalize(); }
Rational & assign( const int n, const int d ) throw()
{ num = n; den = d; normalize(); return *this; }
Rational & operator=( const int n ) throw()
{ num = n; den = 1; return *this; }
int numerator() const throw() { return num; }
int denominator() const throw() { return den; }
Rational & operator+() throw() { return *this; } // Unary plus
Rational operator-() const throw() // Unary minus
{ Rational tmp = *this; tmp.num = -tmp.num; return tmp; }
Rational & operator+=( const Rational & r ) throw();
Rational & operator-=( const Rational & r ) throw() { return operator+=( -r ); }
Rational & operator*=( const Rational & r ) throw();
Rational & operator/=( const Rational & r ) throw();
Rational & operator+=( const int n ) throw() { num += n * den; return *this; }
Rational & operator-=( const int n ) throw() { num -= n * den; return *this; }
Rational & operator*=( const int n ) throw() { return operator*=( Rational( n ) ); }
Rational & operator/=( const int n ) throw() { return operator/=( Rational( n ) ); }
Rational operator+( const Rational & r ) const throw()
{ Rational tmp = *this; tmp += r; return tmp; }
Rational operator-( const Rational & r ) const throw()
{ Rational tmp = *this; tmp -= r; return tmp; }
Rational operator*( const Rational & r ) const throw()
{ Rational tmp = *this; tmp *= r; return tmp; }
Rational operator/( const Rational & r ) const throw()
{ Rational tmp = *this; tmp /= r; return tmp; }
Rational operator+( const int n ) const throw()
{ Rational tmp = *this; tmp += n; return tmp; }
Rational operator-( const int n ) const throw()
{ Rational tmp = *this; tmp -= n; return tmp; }
Rational operator*( const int n ) const throw()
{ Rational tmp = *this; tmp *= n; return tmp; }
Rational operator/( const int n ) const throw()
{ Rational tmp = *this; tmp /= n; return tmp; }
Rational & operator++() throw() { num += den; return *this; } // prefix
Rational operator++( int ) throw() // suffix
{ Rational tmp = *this; num += den; return tmp; }
Rational & operator--() throw() { num -= den; return *this; } // prefix
Rational operator--( int ) throw() // suffix
{ Rational tmp = *this; num -= den; return tmp; }
bool operator!() const throw() { return !num; }
bool operator==( const Rational & r ) const throw()
{ return ( num == r.num && den == r.den ); }
bool operator==( const int n ) const throw()
{ return ( num == n && den == 1 ); }
bool operator!=( const Rational & r ) const throw() { return !( *this == r ); }
bool operator!=( const int n ) const throw() { return !( *this == n ); }
bool operator< ( const Rational & r ) const throw();
bool operator<=( const Rational & r ) const throw() { return ( *this < r || *this == r ); }
bool operator> ( const Rational & r ) const throw() { return !( *this <= r ); }
bool operator>=( const Rational & r ) const throw() { return !( *this < r ); }
bool operator< ( const int n ) const throw() { return operator< ( Rational( n ) ); }
bool operator<=( const int n ) const throw() { return operator<=( Rational( n ) ); }
bool operator> ( const int n ) const throw() { return operator> ( Rational( n ) ); }
bool operator>=( const int n ) const throw() { return operator>=( Rational( n ) ); }
Rational abs() const throw()
{ if( num >= 0 ) return *this; else return -*this; }
Rational inverse() const throw();
int round() const throw();
int trunc() const throw() { return ( num / den ); }
int parse( const char * ptr ) throw();
const std::string to_decimal( const int iwidth = 1, int prec = -2 ) const throw();
};
inline Rational operator+( const int n, const Rational & r ) throw() { return r + n; }
inline Rational operator-( const int n, const Rational & r ) throw() { return -r + n; }
inline Rational operator*( const int n, const Rational & r ) throw() { return r * n; }
inline Rational operator/( const int n, const Rational & r ) throw() { return Rational( n ) / r; }
inline bool operator< ( const int n, const Rational & r ) throw() { return r > n; }
inline bool operator<=( const int n, const Rational & r ) throw() { return r >= n; }
inline bool operator> ( const int n, const Rational & r ) throw() { return r < n; }
inline bool operator>=( const int n, const Rational & r ) throw() { return r <= n; }
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