#!/usr/bin/python3

import cmath
import math

if( __name__ == "__main__"):
	log = cmath.log(-16)
	sqrt = cmath.sqrt(-16)
	print("logarithm:", log)
	print("\tabsolute value:", abs(log))
	print("square root:", sqrt)
	print("\tabsolute value:", abs(sqrt))

	# rotate (7, 3) counter-clockwise (math. positive) arount (0, 0)
	c = 7 + 3j
	c_prime = c * cmath.exp(1j * math.radians(30))

	print("Rotated (7,3) by 30 degs:", "({}, {})".format(c_prime.real, c_prime.imag))