Skip to content
This repository

HTTPS clone URL

Subversion checkout URL

You can clone with HTTPS or Subversion.

Download ZIP
tree: fa42ddcdf0
Fetching contributors…

Octocat-spinner-32-eaf2f5

Cannot retrieve contributors at this time

file 191 lines (157 sloc) 5.851 kb
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190
//=============================================================================
// MusE Score
// Linux Music Score Editor
// $Id:$
//
// Copyright (C) 2009 Werner Schweer and others
//
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License version 2.
//
// 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, write to the Free Software
// Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
//=============================================================================

#include "fraction.h"
#include "mscore.h"

//---------------------------------------------------------
// gcd
// greatest common divisor
//---------------------------------------------------------

static int gcd(int a, int b)
      {
      if (b == 0)
            return a < 0 ? -a : a;
      return gcd(b, a % b);
      }

//---------------------------------------------------------
// lcm
// least common multiple
//---------------------------------------------------------

static unsigned lcm(int a, int b)
      {
      return a * b / gcd(a, b);
      }

//---------------------------------------------------------
// Fraction
//---------------------------------------------------------

Fraction::Fraction(int z, int n)
   : _numerator(z), _denominator(n)
      {
      }

//---------------------------------------------------------
// reduce
//---------------------------------------------------------

void Fraction::reduce()
      {
      int tmp = gcd(_numerator, _denominator);
      _numerator /= tmp;
      _denominator /= tmp;
      }

//---------------------------------------------------------
// reduced
//---------------------------------------------------------

Fraction Fraction::reduced() const
      {
      int tmp = gcd(_numerator, _denominator);
      return Fraction(_numerator / tmp, _denominator / tmp);
      }

//---------------------------------------------------------
// operator+=
//---------------------------------------------------------

Fraction& Fraction::operator+=(const Fraction& val)
      {
      const int tmp = lcm(_denominator, val._denominator);
      _numerator = _numerator * (tmp / _denominator) + val._numerator * (tmp / val._denominator);
      _denominator = tmp;
      return *this;
      }

bool Fraction::operator<(const Fraction& val) const
      {
      const int v = lcm(_denominator, val._denominator);
      return _numerator * (v / _denominator) < val._numerator * (v / val._denominator);
      }

bool Fraction::operator<=(const Fraction& val) const
      {
      const int v = lcm(_denominator, val._denominator);
      return _numerator * (v / _denominator) <= val._numerator * (v / val._denominator);
      }

bool Fraction::operator>=(const Fraction& val) const
      {
      const int v = lcm(_denominator, val._denominator);
      return _numerator * (v / _denominator) >= val._numerator * (v / val._denominator);
      }

bool Fraction::operator>(const Fraction& val) const
      {
      const int v = lcm(_denominator, val._denominator);
      return (_numerator * (v / _denominator)) > (val._numerator * (v / val._denominator));
      }

bool Fraction::operator==(const Fraction& val) const
      {
      const int v = lcm(_denominator, val._denominator);
      return (_numerator * (v / _denominator)) == (val._numerator * (v / val._denominator));
// return (_numerator == val._numerator) && (_denominator == val._denominator);
      }

bool Fraction::operator!=(const Fraction& val) const
      {
      const int v = lcm(_denominator, val._denominator);
      return (_numerator * (v / _denominator)) != (val._numerator * (v / val._denominator));
// return (_numerator != val._numerator) || (_denominator != val._denominator);
      }

//---------------------------------------------------------
// operator-=
//---------------------------------------------------------

Fraction& Fraction::operator-=(const Fraction& val)
      {
      const unsigned tmp = lcm(_denominator, val._denominator);
      _numerator = _numerator * (tmp / _denominator) - val._numerator * (tmp / val._denominator);
      _denominator = tmp;
      return *this;
      }

//---------------------------------------------------------
// operator*=
//---------------------------------------------------------

Fraction& Fraction::operator*=(const Fraction& val)
      {
      _numerator *= val._numerator;
      _denominator *= val._denominator;
      return *this;
      }

Fraction& Fraction::operator*=(int val)
      {
      _numerator *= val;
      return *this;
      }

//---------------------------------------------------------
// operator/=
//---------------------------------------------------------

Fraction& Fraction::operator/=(const Fraction& val)
      {
      _numerator *= val._denominator;
      _denominator *= val._numerator;
      return *this;
      }

Fraction& Fraction::operator/=(int val)
      {
      _denominator *= val;
      return *this;
      }

//---------------------------------------------------------
// fromTicks
//---------------------------------------------------------

Fraction Fraction::fromTicks(int ticks)
      {
      return Fraction(ticks, MScore::division * 4).reduced();
      }

//---------------------------------------------------------
// ticks
//---------------------------------------------------------

int Fraction::ticks() const
      {
      return (_numerator * MScore::division * 4 + (_denominator/2)) / _denominator;
      }


Something went wrong with that request. Please try again.