Please help me or better teach me. What I want to achieve is something like this:


http://i.imgur.com/NHoKL.png

This is a daily period. Variables are for day time and night time standard values and then there are two peaks for sunrise and sunset and some duration for these.

Day peak = 1
Night peak = 0.5
Sunrise peak = 3
Sunset peak = 2
sunrise start = in seconds
sunrise stop = in seconds
sunset start = in seconds
sunset stop = in seconds

I can do this with programming but I want to do it with pure math.

It is probably something like:
a sin (bx + c) + d sin (tx + h)

but more complicated since it should get these variables incorporated. Range will be in seconds: (0.........86400)...

PS. This is for a mod.

One function to rule them all?

Maybe I'm just not experienced enough, or maybe its because I'm sick, but its not really clear to me what kind of function you want

EDIT: I have had good encounters with http://www.physicsforums.com; go to their mathematics section

A function that draws that graph based on those 8 variables. It is complicated isn't it?