Complex Number Class 🔢

This class includes many trig functions and is immutable. None of its methods will change the real or imaginary components, instead, they return new complex objects.

To retrieve the real and imaginary parts of the complex number z, use z.real and z.imag.

Method Chaining 🔗

Most methods can be chained. For example, z.tan().sqrt() will calculate and return the square root of the tangent of z. In mathematics, we are evaluating sqrt(tan(z)) leaving z unchanged.

Floating Point Errors 🔍

In some situations, floating point errors can be significant. Testing for equality or to see if the number represents a real value can be problematic. By default, the maximum permitted difference is 10^-8; but in some situations, this may be too restrictive and reject values you wish to consider equal. Use accessor Complex.epsilon to change the static #epsilon property's default value.

⚠️ Notice that b/c Complex.epsilon is a static accessor, changing it affects all instances of class Complex. As a workaround, all methods which rely on it accept an optional epsilon argument to be used in the test, thus ignoring the global static default value.

Additional Information ℹ️

• Last updated: 16 Aug 2023

• Author: Peter Lager (2023)

• Refactored by GoToLoop (2023)

• Complex on GitHub

• Documentation