"Ryan McAdam" <r...@quantodesign.com> wrote
I saved this module to my desktop

You probably need to create a Folder for your Python code or you will soon have a very busy desktop! :-)

# File: chaos.py
# A simple program illustrating chaotic behavior.

def main():
    print("This program illustrates a chaotic function")
    x = eval(input("Enter a number between 0 and 1: "))
    for i in range(10):
        x = 3.9 * x * (1 - x)
        print(x)

main()

Don;t use eval() here it is bad practice since it opens a security hole in your program and its best to get into good security habits from the start.

Instead use the explicit type that you want the data to be, in your case a floating point number(float() )
    x = float(input("Enter a number between 0 and 1: "))

When I open and run this module in IDLE's shell

Thats your mistake.
Don't open files in the shell use the File->Open menu to create a new IDLE window that doesn't have the >>> prompt. Then when you run the file the output will appear in the IDLE shell window.

going to Run > Check Module and then running the module.

You shouldn't need to Check Module first (unless IDLE on Mac works differently to IDLE on Windows, which it shouldn't...)

Also, when it works correctly, IDLE won't run the program again via the >>> chaos.main() statement. I get this:
    chaos.main()
NameError: name 'chaos' is not defined

This tells you that Python does not recognise chaos.

If you do want to run from the >>> prompt (eg to test chaos) then you will need to import chaos first

import chaos
chaos.main()

HTH and welcome to the tutor list.

--
Alan Gauld
Author of the Learn to Program web site
http://www.alan-g.me.uk/


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