/**
* Calculates the natural logarithm of {@link BigComplex} x in the complex domain.
*
* <p>See: <a href="https://en.wikipedia.org/wiki/Complex_logarithm">Wikipedia: Complex logarithm</a></p>
*
* @param x the {@link BigComplex} to calculate the natural logarithm for
* @param mathContext the {@link MathContext} used for the result
* @return the calculated natural logarithm {@link BigComplex} with the precision specified in the <code>mathContext</code>
*/
public static BigComplex log(this BigComplex x, MathContext mathContext)
{
// https://en.wikipedia.org/wiki/Complex_logarithm
MathContext mc1 = new MathContext(mathContext.getPrecision() + 20, mathContext.getRoundingMode());
MathContext mc2 = new MathContext(mathContext.getPrecision() + 5, mathContext.getRoundingMode());
return(BigComplex.valueOf(
BigDecimalMath.log(x.abs(mc1), mc1).round(mathContext),
x.angle(mc2)).round(mathContext));
}