Fraction.h

#ifndef Fraction_H
#define Fraction_H
 
/*
  GUIDO Library
  Copyright (C) 2002  Holger Hoos, Juergen Kilian, Kai Renz
  Copyright (C) 2002-2017 Grame
 
  This Source Code Form is subject to the terms of the Mozilla Public
  License, v. 2.0. If a copy of the MPL was not distributed with this
  file, You can obtain one at http://mozilla.org/MPL/2.0/.
 
  Grame Research Laboratory, 11, cours de Verdun Gensoul 69002 Lyon - France
  research@grame.fr
 
*/
 
#include <iostream>
#include <string>
 
class Fraction
{
  public:
 
        Fraction() : numerator(0), denominator(1), dval(0.0) { }
 
        Fraction( int theNumerator, int theDenominator );
        Fraction( double x );
        Fraction( int value ) : numerator(value), denominator(1)    { dval = (double)value; }
 
        void print(std::ostream&) const;
 
        int getNumerator() const;
        int getDenominator() const;
        void normalize();
 
        // greatest common denominator
        static long long gcd(long long i1, long long i2);
        
        // smallest common multiple
        static long long scm(long long i1, long long i2);
 
        void set(long long num, long long denom = 1);
        void setDenominator(long long newDenominator);
        void setNumerator(long long newNumerator);
 
        void invert(); 
 
        // test if fraction is like m/(n^k) is used for the tuplet creation
        int isMultiple(int n);      // Result: exponent (>=0) or -1
 
        bool    isOdd() const;
        bool    isEven() const;
 
        void    add (const Fraction &tmp); // non normalized addition
 
      Fraction getBiggestFullNote(int exp) const;
      Fraction getReallySmallerNote(int exp) const;
 
        operator double() const;
        operator float() const;
        operator std::string() const;
        inline operator bool() const                { return numerator != 0; }
        bool operator >(const Fraction & in) const  { return (dval > in.dval); }
        bool operator ==(const Fraction & in) const { return (dval == in.dval); }
        bool operator !=(const Fraction & in) const { return (dval != in.dval); }
        bool operator <(const Fraction & in) const  { return (dval < in.dval); }
        bool operator >=(const Fraction & in) const { return (dval >= in.dval); }
        bool operator <=(const Fraction & in) const { return (dval <= in.dval); }
        Fraction & operator +=(const Fraction &tmp);
        Fraction & operator -=(const Fraction &tmp);
        Fraction & operator %=(const Fraction &tmp);
        Fraction & operator *=(const Fraction &tmp);
        Fraction & operator *=(const int tmp);
 
    private:
        long long numerator;
        long long denominator;
        double dval;
};
 
std::ostream& operator<< (std::ostream& os, const Fraction& f);
 
 
//## Other Operations (inline)
inline Fraction::operator float() const         { return (float)dval; }
inline Fraction::operator double() const        { return dval; }
 
inline int Fraction::getNumerator() const       { return (int)numerator; }
inline int Fraction::getDenominator() const     { return (int)denominator; }
 
Fraction operator +(const Fraction & tmp1, const Fraction & tmp);
Fraction operator -(const Fraction & tmp1, const Fraction & tmp);
Fraction operator *(const Fraction & tmp1, const Fraction & tmp);
Fraction operator *(const Fraction & tmp1, const int multiplier);
Fraction operator %(const Fraction & tmp1, const Fraction & tmp2);
 
extern const  Fraction Frac_n1;
extern const  Fraction Frac_0;
extern const  Fraction Frac_7_4;
extern const  Fraction Frac_3_2;
extern const  Fraction Frac_1;
extern const  Fraction Frac_7_8;
extern const  Fraction Frac_3_4;
extern const  Fraction Frac_1_2;
extern const  Fraction Frac_7_16;
extern const  Fraction Frac_3_8;
extern const  Fraction Frac_1_4;
extern const  Fraction Frac_7_32;
extern const  Fraction Frac_3_16;
extern const  Fraction Frac_1_8;
extern const  Fraction Frac_7_64;
extern const  Fraction Frac_3_32;
extern const  Fraction Frac_3_64;
extern const  Fraction Frac_3_128;
extern const  Fraction Frac_7_128;
extern const  Fraction Frac_7_256;
extern const  Fraction Frac_1_12;
extern const  Fraction Frac_1_16;
extern const  Fraction Frac_1_32;
extern const  Fraction Frac_1_64;
extern const  Fraction Frac_1_128;
extern const  Fraction Frac_Max;
 
 
#endif