REMAP function doesn't work

Thank's for your unswer AndyPugh. No, it's not late for me. I simply shifted this problem because I didn't found any answer.

I tried as you said:
1) added line <#! usr/env python> (also tried <#!/usr/bin/env python>)
2) in terminal writed chmod +x <filename.py>
But it doesn't solve my problem.

This looks like a problem with toplevel.py and remap.py. Do those both exist?
LinuxCNC loads toplevel.py and then that imports remap.py which needs to either contain your "involute" function definition, or import a file that does.