/// <summary>
/// e. g. Pow(2, 5) = 32
/// </summary>
/// <param name="base">
/// The base of the exponential, base^power
/// </param>
/// <param name="power">
/// The power of the exponential, base^power
/// </param>
/// <returns></returns>
public static ComplexNumber Pow(Number @base, Number power)
{
// TODO: make it more detailed (e. g. +oo ^ +oo = +oo)
if (power.IsInteger())
{
return(Functional.Downcast(Functional.BinaryIntPow(@base as ComplexNumber, power.AsInt())) as ComplexNumber);
}
var baseCom = @base.AsComplexNumber();
var powerCom = power.AsComplexNumber();
if (baseCom.IsDefinite() && powerCom.IsDefinite())
{
try
{
return(Functional.Downcast(
Complex.Pow(baseCom.AsComplex(), powerCom.AsComplex())
) as ComplexNumber);
}
catch (OverflowException)
{
return(RealNumber.NaN());
}
}
else
{
return(ComplexNumber.Indefinite(RealNumber.UndefinedState.NAN));
}
}
/// <summary>
/// e. g. Log(2, 32) = 5
/// </summary>
/// <param name="base">
/// Log's base, log(base, x) is a number y such that base^y = x
/// </param>
/// <param name="x">
/// The number of which we want to get its base power
/// </param>
/// <returns></returns>
public static ComplexNumber Log(RealNumber @base, Number x)
{
var baseCom = @base.AsComplexNumber();
var poweredCom = x.AsComplexNumber();
if (baseCom.IsDefinite() && poweredCom.IsDefinite())
{
return(Functional.Downcast(
Complex.Log(x.AsComplex(), @base.AsDouble())
) as ComplexNumber);
}
else
{
return(ComplexNumber.Indefinite(RealNumber.UndefinedState.NAN));
}
}