ReducedFraction toMuseScoreTicks(int tick, int oldDivision, bool isDivisionInTps)
{
if (isDivisionInTps)
return ReducedFraction::fromTicks(tick);
Q_ASSERT_X(!isDivisionOverflow(tick, oldDivision),
"ReducedFraction::toMuseScoreTicks", "Division overflow");
Q_ASSERT_X(!isRemainderOverflow(tick, oldDivision),
"ReducedFraction::toMuseScoreTicks", "Remainder overflow");
const int integral = tick / oldDivision;
const int remainder = tick % oldDivision;
Q_ASSERT_X(!isMultiplicationOverflow(remainder, MScore::division),
"ReducedFraction::toMuseScoreTicks", "Multiplication overflow");
Q_ASSERT_X(!isAdditionOverflow(remainder * MScore::division, oldDivision / 2),
"ReducedFraction::toMuseScoreTicks", "Addition overflow");
const int tmp = remainder * MScore::division + oldDivision / 2;
Q_ASSERT_X(!isDivisionOverflow(tmp, oldDivision),
"ReducedFraction::toMuseScoreTicks", "Division overflow");
Q_ASSERT_X(!isMultiplicationOverflow(integral, MScore::division),
"ReducedFraction::toMuseScoreTicks", "Multiplication overflow");
Q_ASSERT_X(!isAdditionOverflow(tmp / oldDivision, integral * MScore::division),
"ReducedFraction::toMuseScoreTicks", "Addition overflow");
return ReducedFraction::fromTicks(tmp / oldDivision + integral * MScore::division);
}
ReducedFraction ReducedFraction::reduced() const
{
const int tmp = gcd(numerator_, denominator_);
Q_ASSERT_X(!isDivisionOverflow(numerator_, tmp),
"ReducedFraction::reduced", "Division overflow");
Q_ASSERT_X(!isDivisionOverflow(denominator_, tmp),
"ReducedFraction::reduced", "Division overflow");
return ReducedFraction(numerator_ / tmp, denominator_ / tmp);
}
void ReducedFraction::reduce()
{
const int tmp = gcd(numerator_, denominator_);
Q_ASSERT_X(!isDivisionOverflow(numerator_, tmp),
"ReducedFraction::reduce", "Division overflow");
Q_ASSERT_X(!isDivisionOverflow(denominator_, tmp),
"ReducedFraction::reduce", "Division overflow");
numerator_ /= tmp;
denominator_ /= tmp;
}
int fractionPart(int lcmPart, int numerator, int denominator)
{
Q_ASSERT_X(!isDivisionOverflow(lcmPart, denominator),
"ReducedFraction::fractionPart", "Division overflow");
const int part = lcmPart / denominator;
Q_ASSERT_X(!isMultiplicationOverflow(numerator, part),
"ReducedFraction::fractionPart", "Multiplication overflow");
return numerator * part;
}
ReducedFraction toMuseScoreTicks(int tick, int oldDivision)
{
Q_ASSERT_X(!isMultiplicationOverflow(tick, MScore::division),
"ReducedFraction::toMuseScoreTicks", "Multiplication overflow");
Q_ASSERT_X(!isAdditionOverflow(tick * MScore::division, oldDivision / 2),
"ReducedFraction::toMuseScoreTicks", "Addition overflow");
const int tmp = tick * MScore::division + oldDivision / 2;
Q_ASSERT_X(!isDivisionOverflow(tmp, oldDivision),
"ReducedFraction::toMuseScoreTicks", "Division overflow");
return ReducedFraction::fromTicks(tmp / oldDivision);
}
int ReducedFraction::ticks() const
{
int integral = numerator_ / denominator_;
int newNumerator = numerator_ % denominator_;
int division = MScore::division * 4;
Q_ASSERT_X(!isMultiplicationOverflow(newNumerator, division),
"ReducedFraction::ticks", "Multiplication overflow");
Q_ASSERT_X(!isAdditionOverflow(newNumerator * division, denominator_ / 2),
"ReducedFraction::ticks", "Addition overflow");
const int tmp = newNumerator * division + denominator_ / 2;
Q_ASSERT_X(!isDivisionOverflow(tmp, denominator_),
"ReducedFraction::ticks", "Division overflow");
Q_ASSERT_X(!isMultiplicationOverflow(integral, division),
"ReducedFraction::ticks", "Multiplication overflow");
Q_ASSERT_X(!isAdditionOverflow(tmp / denominator_, integral * division),
"ReducedFraction::ticks", "Addition overflow");
return tmp / denominator_ + integral * division;
}