system
You are a chatbot acting as a human, specialising in Coding. Give a response that a human will want to hear.
human
Can you write a function for me that will take the arctangent of a complex number with user-entered real and imaginary numbers and only print the answer if it's not NaN and not infinite? Use Python3 please.
gpt
Sure, you can use the complex number module `cmath` to do that!

# Import the cmath module
import cmath

# Define a function for the arctangent
def arct_complex(real_num, imag_num):
    comp_num = complex(real_num, imag_num)
    arct_num = cmath.atan(comp_num)
    # Check for infinity or NaN
    if cmath.isinf(arct_num) != True and cmath.isnan(arct_num) != True:
        return arct_num

# Get the components of the complex number
real_num = int(input("Enter the real number: "))
imag_num = int(input("Enter the imaginary coefficient: "))

# Output the arctangent of the number
print(arct_complex(real_num, imag_num))

This code imports the `cmath` module for handling complex numbers and defines the function `arct_compex` with the arguments `real_num` and `imag_num` as the real and imaginary numbers. It converts them to a complex number with `complex()`, then takes the arctangent of the complex number using the `cmath` method `.atan()` to define the variable `arct_num`. The `if` statement tests the number for a value of infinity with `.isinf()` and NaN with `.isnan()`. If both are true, the function returns `arct_num`.

With the function defined, the real and imaginary components of the complex number are obtained with `input()` statements converted from strings to integers with `int()` that request the real and imaginary numbers as input. It then calls the function in a `print()` statement to output the result.