/// <summary>
/// internal function for negation
/// </summary>
private static Fraction Negate(Fraction frac1)
{
long iNumerator = -frac1.Numerator;
long iDenominator = frac1.Denominator;
return (new Fraction(iNumerator, iDenominator));
}
private static Fraction Multiply(Fraction frac1, Fraction frac2)
{
try
{
checked
{
long iNumerator = frac1.Numerator * frac2.Numerator;
long iDenominator = frac1.Denominator * frac2.Denominator;
return (new Fraction(iNumerator, iDenominator));
}
}
catch (OverflowException)
{
throw new FractionException("Overflow occurred while performing arithmetic operation");
}
catch (Exception)
{
throw new FractionException("An error occurred while performing arithmetic operation");
}
}
/// <summary>
/// The function replicates current Fraction object
/// </summary>
public Fraction Duplicate()
{
Fraction frac = new Fraction { Numerator = this.Numerator, Denominator = this.Denominator };
return frac;
}
/// <summary>
/// The function takes a floating point number as an argument
/// and returns its corresponding reduced fraction
/// </summary>
public static Fraction ToFraction(double dValue)
{
try
{
checked
{
Fraction frac;
if (dValue % 1 == 0) // if whole number
{
frac = new Fraction((long)dValue);
}
else
{
double dTemp = dValue;
long iMultiple = 1;
string strTemp = dValue.ToString();
while (strTemp.IndexOf("E") > 0) // if in the form like 12E-9
{
dTemp *= 10;
iMultiple *= 10;
strTemp = dTemp.ToString();
}
int i = 0;
while (strTemp[i] != '.')
i++;
int iDigitsAfterDecimal = strTemp.Length - i - 1;
while (iDigitsAfterDecimal > 0)
{
dTemp *= 10;
iMultiple *= 10;
iDigitsAfterDecimal--;
}
frac = new Fraction((int)System.Math.Round(dTemp), iMultiple);
}
return frac;
}
}
catch (OverflowException)
{
throw new FractionException("Conversion not possible due to overflow");
}
catch (Exception)
{
throw new FractionException("Conversion not possible");
}
}
/// <summary>
/// The function reduces(simplifies) a Fraction object by dividing both its numerator
/// and denominator by their GCD
/// </summary>
public static void ReduceFraction(Fraction frac)
{
try
{
if (frac.Numerator == 0)
{
frac.Denominator = 1;
return;
}
var gcd = GreatestCommonDenominator(frac.Numerator, frac.Denominator);
frac.Numerator /= gcd;
frac.Denominator /= gcd;
if (frac.Denominator < 0) // if -ve sign in denominator
{
// pass -ve sign to numerator
frac.Numerator *= -1;
frac.Denominator *= -1;
}
}
catch (Exception exp)
{
throw new FractionException(string.Format("Cannot reduce Fraction: {0}", exp.Message));
}
}
/// <summary>
/// The function returns the inverse of a Fraction object
/// </summary>
public static Fraction Inverse(Fraction frac1)
{
if (frac1.Numerator == 0)
throw new FractionException("Operation not possible (Denominator cannot be assigned a ZERO Value)");
long iNumerator = frac1.Denominator;
long iDenominator = frac1.Numerator;
return (new Fraction(iNumerator, iDenominator));
}