Four Vectors Part 1: Basic Operations

This is the first challenge of the "Four Vectors" collection. Four Vectors are vectors with four components that are used to describe relativistic physics. For details please refer to this wiki entry.

In this challenge, create a class FourVector with the following properties:

• If called with a list of length 4 as a parameter, it uses the list entries as components of the FourVector (FV) instance.
• If called without a parameter, the components should be [0.0, 0.0, 0.0, 0.0].
• Getter and Setter methods GetComponents and SetComponents, see test cases
• Methods two add and subtract two FV instances.
• Support comparing two Four Vectors.
• Support printing a FV in the form (0.5, 1.0, -2.0, 10.0) where the components are rounded to three decimal places.

Consider using magic methods like __add__, __eq__ and __str__ to solve the last three bullet points.

Examples

v = FourVector([1, 2, 3, 4])
print(v) ➞ (1, 2, 3, 4)

v2 = FourVector([1, 0, 1, 0])
print(v + v2) ➞ (2, 2, 4, 4)

Notes

Please save your FourVector class for later use, we will add new methods in upcoming challenges in this series!