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web site template web site template g. z = u.Add(u); How about if we multiply, divide or subtract? e.g. z = u.

web site template Multiply(u); z = u.Divide(u); z = u.Minus(u); Rewrite the Complex class so that it stores its data as r and theta rather than u and v. Be sure to be careful at zero. Add PlusEqual, MinusEqual, DivideEqual and MultiplyEqual methods to the Complex class that mimic the behavior of the +=, -=, *= and /= operators.

web site template Add an equality method to the Complex class that tests whether two complex numbers are equal and returns a boolean. For math whizzes only: Explain why it would not be a good idea to add less than or greater than methods to the Complex class. For math whizzes only: Add a logarithm method to the Complex number class. Pick the branch between zero and 2pi. For math whizzes only: Add a power method to the complex number class.

web site template This is straightforward for real powers. For a real challenge allow arbitrary complex powers. Be sure to consider how you'll deal with branch cuts. toString MethodsOur printing in the last program was quite stilted because we needed to break a complex number into its real and imaginary parts, print them, and then put it all back together again. Wouldn't it be nice if we could just write:System.

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