val conjugate = fn(c) {
    if c is not complex: throw "expected complex number"
    return complex(c[1], -c[2])
}

val examples = {
    "-(1+1i)": -(1+1i),
    "abs(1+1i)": abs(1+1i),
    "(2+2i) + (5+13.2i)": (2+2i) + (5+13.2i),
    "5 + (2+2i)": 5 + (2+2i),
    "5i + (2+2i)": 5i + (2+2i),
    "5i - (2+2i)": 5i - (2+2i),
    "(1+1i) * (3.141592653589793+1.2i)": (1+1i) * (3.141592653589793+1.2i),
    "(5+3i) / (4-3i)": (5+3i) / (4-3i),
    "1 / (4-3i)": 1 / (4-3i),
    "(4-3i) ^ 3": (4-3i) ^ 3,
    "conjugate(7+21.0i)": conjugate(7+21.0i),
}

for e of examples {
    writeln "{{e : 20}}: ", examples[e]
}