Complex Arithmetic

Here are the rules :

x + (a + j b) == (a + x) + j b


(a + j b) + (c + j d) == (a + c) + j (b + d)


x * (a + j b) == (x * a) + j (x * d)


(a + j b) * (c + j d) == (a c - b d) + j (a d + c b)



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