/// <summary>
/// Gets the mcm of the denominators's fractions
/// </summary>
/// <param name="af1"></param>
/// <returns></returns>
private Polynomial GetMcm(AlgebraicFraction af1)
{
// Calculate the mcm of the denominators obtaining a new denominator
Polynomial oldDenominator = af1.Denominator;
var arrayController = ArrayController.GetInstance();
af1.Denominator = arrayController.GetMcm(
new[]
{
af1.Denominator,
this.Denominator
}
).GetExplicitPolynomial();
return(oldDenominator);
}
/// <summary>
/// Divides a fraction
/// </summary>
/// <param name="algebraicFraction"></param>
public void Divide(AlgebraicFraction algebraicFraction)
{
this.SetContent(Operate(this, algebraicFraction, this.divide));
}
/// <summary>
/// Substracts a fraction
/// </summary>
/// <param name="algebraicFraction"></param>
public void Substract(AlgebraicFraction algebraicFraction)
{
this.SetContent(Operate(this, algebraicFraction, this.substract));
}
/// <summary>
/// Multiplies a fraction
/// </summary>
/// <param name="algebraicFraction"></param>
public void Multiply(AlgebraicFraction algebraicFraction)
{
this.SetContent(Operate(this, algebraicFraction, this.multiply));
}
/// <summary>
/// Function to support the public operator for the division of a couple of fractions
/// </summary>
/// <param name="algebraicFraction">
/// The fraction 1.
/// </param>
/// <param name="algebraicFraction2">
/// The fraction 2.
/// </param>
/// <returns></returns>
private static AlgebraicFraction BaseDivide(AlgebraicFraction algebraicFraction, AlgebraicFraction algebraicFraction2)
{
return(algebraicFraction / algebraicFraction2);
}
/// <summary>
/// Adds a fraction
/// </summary>
/// <param name="algebraicFraction"></param>
public void Add(AlgebraicFraction algebraicFraction)
{
this.SetContent(Operate(this, algebraicFraction, this.add));
}
/// <summary>
/// The base subtraction.
/// </summary>
/// <param name="fractions">
/// The algebraicalFraction 1.
/// </param>
/// <returns>AlgebraicalFraction</returns>
private static AlgebraicFraction BaseSubstract(IEnumerable <AlgebraicFraction> fractions)
{
var algebraicalFraction = new AlgebraicFraction(0);
return(fractions.Aggregate(algebraicalFraction, (current, fraction) => current - fraction));
}
/// <summary>
/// Function to support the public operator for the multiplication of a couple of fractions
/// <param name="algebraicFraction"></param>
/// <param name="algebraicFraction2"></param>
/// <returns></returns>
/// </summary>
private static AlgebraicFraction BaseMultiply(AlgebraicFraction algebraicFraction, AlgebraicFraction algebraicFraction2)
{
return(algebraicFraction * algebraicFraction2);
}
/// <summary>
/// Function to support the public operator for the substraction of a couple a fractions
/// <param name="algebraicFraction"></param>
/// <param name="algebraicFraction2"></param>
/// <returns></returns>
/// </summary>
private static AlgebraicFraction BaseSubstract(AlgebraicFraction algebraicFraction, AlgebraicFraction algebraicFraction2)
{
return(algebraicFraction - algebraicFraction2);
}
/// <summary>
/// Function to support the public operator for the addition of a list of fractions.
/// </summary>
/// <param name="fractions"></param>
/// <returns></returns>
private static AlgebraicFraction BaseAdd(IEnumerable <AlgebraicFraction> fractions)
{
var af = new AlgebraicFraction(0);
return(fractions.Aggregate(af, (current, fraction) => current + fraction));
}
/// <summary>
/// Function to support the public operator for the addition between the current element and the ones passed by argument
/// </summary>
/// <param name="algebraicFraction">
/// The algebraicalFraction 1.
/// </param>
/// <param name="algebraicFraction2">
/// The algebraicalFraction 2.
/// </param>
/// <returns>
/// The <see cref="AlgebraicFraction"/>.
/// </returns>
private static AlgebraicFraction BaseAdd(AlgebraicFraction algebraicFraction, AlgebraicFraction algebraicFraction2)
{
return(algebraicFraction + algebraicFraction2);
}
/// <summary>
/// Function to support the public operator for the operation indicated between the current element and the one passed by argument
/// </summary>
/// <param name="algebraicFraction1">
/// The Algebraical Fraction 1.
/// </param>
/// <param name="algebraicFraction2">
/// The Algebraical Fraction 2.
/// </param>
/// <param name="operation">
/// The operation.
/// </param>
/// <returns>
/// The <see cref="AlgebraicFraction"/>.
/// </returns>
private static AlgebraicFraction Operate(AlgebraicFraction algebraicFraction1, AlgebraicFraction algebraicFraction2, Operation operation)
{
return(operation(new[] { algebraicFraction1, algebraicFraction2 }));
}
/// <summary>
/// Returns whether the fractions have the same denominator.
/// </summary>
/// <param name="af">
/// The fraction.
/// </param>
/// <returns>
/// The <see cref="bool"/>.
/// </returns>
public bool HasSameDenominator(AlgebraicFraction af)
{
return(this.Denominator.Equals(af.Denominator));
}
