// Operator overloading
public static BigRational operator +(BigRational num1, BigRational num2)
{
if (num1.Denominator == num2.Denominator)
{
// The denominators are the same; just add the numerators and return.
return new BigRational(num1.Numerator + num2.Numerator, num1.Denominator);
}
else
{
// Make the denominator the same, reduce it, and return it.
BigRational retval = new BigRational ((num1.Numerator * num2.Denominator) + (num2.Numerator * num1.Denominator), num1.Denominator * num2.Denominator);
retval.Reduce();
return retval;
}
}
// I don't want to call it scalar multiplication... but it's scalar multiplication if you consider the BigRational a 1x2 matrix.
public static BigRational operator *(BigRational num1, BigInteger num2)
{
BigRational retVal = new BigRational(num1.Numerator * num2, num1.Denominator);
retVal.Reduce();
return retVal;
}
/// <summary>
/// Returns the BigRational raised to the specified power.
/// </summary>
/// <param name="power">An integer greater than or equal to one.</param>
/// <returns></returns>
public BigRational Pow(BigInteger power)
{
// Error checking
if (power < 1) throw new ArgumentException("BigRational.Pow only supports integer powers greater than or equal to one.");
BigRational retVal = new BigRational(Numerator, Denominator); // Create a copy of the current BigRational
for (BigInteger i = 1; i < power; i++) // Multiply the copy by itself power - 1 number of times
{
retVal.Numerator *= Numerator;
retVal.Denominator *= Denominator;
}
retVal.Reduce();
return retVal;
}
public static BigRational operator *(BigRational num1, BigRational num2)
{
// a/b * c/d = ac/bd
BigRational retVal = new BigRational(num1.Numerator * num2.Numerator, num1.Denominator * num2.Denominator);
retVal.Reduce();
return retVal;
}
public static BigRational operator -(BigRational num1, BigRational num2)
{
// Same as + but we subtract here...
if (num1.Denominator == num2.Denominator)
{
// The denominators are the same; just add the numerators and return.
return new BigRational(num1.Numerator - num2.Numerator, num1.Denominator);
}
else
{
// Make the denominator the same, reduce it, and return it.
BigRational retval = new BigRational((num1.Numerator * num2.Denominator) - (num2.Numerator * num1.Denominator), num1.Denominator * num2.Denominator);
retval.Reduce();
return retval;
}
}