Using C++, Java, or C#, implement a Complex class in the spirit of Example XXXXXXXXXXDiscuss the time and space tradeoffs between maintaining all four values (x, y, ρ, and θ) in the state of the...

Using C++, Java, or C#, implement a Complex class in the spirit of Example 10.25. Discuss the time and space tradeoffs between maintaining all four values (x, y, ρ, and θ) in the state of the object, or keeping only two and computing the others on demand.