public static Fraction operator +(Fraction l, Fraction r)
{
if (l.Numerator == Empty.Numerator || l.Denominator == Empty.Denominator)
if (r.Numerator == Empty.Numerator || r.Denominator == Empty.Denominator)
{
Fraction f = 0;
return Empty;
}
else
return r;
if (r.Numerator == Empty.Numerator || r.Denominator == Empty.Denominator)
return l;
uint CommonDenominator = Common.LCM(l.Denominator, r.Denominator);
Fraction fr = new Fraction(l.Numerator * CommonDenominator / l.Denominator
+ r.Numerator * CommonDenominator / r.Denominator,
CommonDenominator);
return fr.Cancel();
}
public void ToMixedNumber(out long WholePart, out Fraction FractionalPart)
{
if (this.Numerator == Empty.Numerator || this.Denominator == Empty.Denominator)
{
WholePart = 0;
FractionalPart = Empty;
return;
}
bool neg = this.Numerator < 0;
WholePart = this.Numerator / this.Denominator;
FractionalPart = (new Fraction(Math.Abs(this.Numerator) - Math.Abs(WholePart * this.Denominator), this.Denominator)).Cancel();
if (WholePart == 0 && neg)
FractionalPart.Numerator *= -1;
}
public static Fraction operator *(Fraction l, Fraction r)
{
if (l.Numerator == Empty.Numerator || l.Denominator == Empty.Denominator)
if (r.Numerator == Empty.Numerator || r.Denominator == Empty.Denominator)
return Empty;
else
return r;
if (r.Numerator == Empty.Numerator || r.Denominator == Empty.Denominator)
return l;
Fraction fr = new Fraction(l.Numerator * r.Numerator,
l.Denominator * r.Denominator);
return fr.Cancel();
}
public static bool TryParse(string str, out Fraction f)
{
try
{
f = Parse(str);
return true;
}
catch
{
f = new Fraction(0,1);
return false;
}
}
public Fraction Reverse()
{
if (num == 0) throw new DivideByZeroException("denominator");
Fraction f = new Fraction();
if (den == Empty.Denominator) f.Numerator = Empty.Numerator;
else f.Numerator = (num < 0) ? -den : den;
if (num == Empty.Numerator) f.Denominator = Empty.Denominator;
else f.Denominator = (uint)Math.Abs(num);
return f;
}
public static bool IsEmpty(Fraction f)
{
return f.Numerator == Fraction.Empty.Numerator || f.Denominator == Fraction.Empty.Denominator;
}
public static Fraction FromMixedNumber(long wholePart, Fraction fractionalPart)
{
if (fractionalPart.Numerator == Fraction.Empty.Numerator || fractionalPart.Denominator == Fraction.Empty.Denominator)
return Fraction.Empty;
bool neg = wholePart < 0 || fractionalPart.Numerator < 0;
if (wholePart == 0 && neg) fractionalPart *= -1;
if (wholePart < 0) wholePart *= -1;
Fraction f = wholePart + fractionalPart;
if (neg) f *= -1;
return f;
}
private Angle(Fraction f)
{
val = f;
}
public Angle(uint degrees, uint minutes, uint seconds, int sign)
{
val = degrees + new Fraction(minutes, 60) + new Fraction(seconds, 3600);
if (sign < 0) val = -val;
}
public Angle(uint degrees, int sign)
{
val = degrees;
if (sign < 0) val = -val;
}