public int CompareTo(Rational other)
{
var sign = Sign.CompareTo(other.Sign);
if (sign != 0)
{
return(sign);
}
if ((IsNaN && other.IsNaN) || (IsInfinity && other.IsInfinity))
{
return(0);
}
if (IsNaN || other.IsNaN)
{
return(Denominator.CompareTo(other.Denominator));
}
if (IsPositiveInfinity || other.IsNegativeInfinity)
{
return(1);
}
if (IsNegativeInfinity || other.IsPositiveInfinity)
{
return(-1);
}
var diff = this - other;
return(diff.Sign);
}
public BigInteger Ceiling()
{
if (Denominator.CompareTo(BigInteger.One) == 0)
{
return(Numerator);
}
if (Numerator.CompareTo(BigInteger.Zero) > 0)
{
return(Numerator.Divide(Denominator).Add(BigInteger.One));
}
return(Numerator.Divide(Denominator));
}
public BigInteger Floor()
{
/* is already integer: return the numerator
*/
if (Denominator.CompareTo(BigInteger.One) == 0)
{
return(Numerator);
}
if (Numerator.CompareTo(BigInteger.Zero) > 0)
{
return(Numerator.Divide(Denominator));
}
return(Numerator.Divide(Denominator).Subtract(BigInteger.One));
}
private void Normalize()
{
// compute greatest common divisor of numerator and denominator
BigInteger g = Numerator.Gcd(Denominator);
if (g.CompareTo(BigInteger.One) > 0)
{
Numerator = Numerator.Divide(g);
Denominator = Denominator.Divide(g);
}
if (Denominator.CompareTo(BigInteger.Zero) == -1)
{
Numerator = Numerator.Negate();
Denominator = Denominator.Negate();
}
}
public override string ToString()
{
return(Denominator.CompareTo(BigInteger.One) != 0 ? Numerator + "/" + Denominator : Numerator.ToString());
}
public BigInteger Truncate()
{
return(Denominator.CompareTo(BigInteger.One) == 0 ? Numerator : Numerator.Divide(Denominator));
}