Testing If A Function Has Already Been Run?

I had a rethink about my problem discussed in this [URL] thread, where the function won't run properly a second time if the page hasn't been reloaded. That one appears not to have a solution, and I was thinking that a reasonable plan B is the following:

a) test if the function has already been run since the page was loaded

b) if not, run the function

c) if it has, reload the page with the onClick, then run the function automatically on reloading.

the problem I envisage is will the page "remember" to run the function once it has been reloaded?Of course, it would be simpler to do it running the function automatically once the page loads, then just reloading if the test comes back that the function has been run already, but that wouldn't work for the first time you visit the page - it would start running straight away, whereas I want it to wait for that first click. Here's the page [URL] I'm working on, if you want to have a look.