Actual recharge of hasten equation

Hey guys.

Firstly, I wouldn't call myself a mathematician or anything so I may have got something massively wrong but be gentle with me. Also, I haven't taken into account Arcanatime, simply because I don't quite understand it, this is about as deep as I go into numbers.

I wanted to work out the actual recharge of hasten including the time its active and the small period of time it isn't, but I couldn't find anything on the boards so I tried to figure it out myself. Of course this doesn't apply to perma-hasten builds.

Here's what I came up with. Firstly you need to work out what fraction of hasten's recharge would be left when hasten drops, so you'd subtract the duration of hasten from its sped up recharge and then divide that by it's sped up recharge. Then you'd find what fraction of hastens normal recharge time is left and then all that's left to do is add this time onto the time hasten was sped up, thus:

((((sped up recharge-duration)/sped up recharge)*normal recharge)+sped up recharge)

Example:

For this example I will only use numbers to 5 decimal place but you can always use your calculators memory button.

My builds recharge values:
normal recharge of hasten: 182.5s
sped up recharge of hasten: 142.1s

((((142.1-120)/142.1)*182.5)+182.5)

So from left to right:

Firstly you'd solve 142.1-120 leaving you with (((22.1/142.1)*182.5)+142.1)
Secondly you'd solve 22.1/142.1 leaving you with ((0.15552*182.5)+142.1)
Thirdly you'd solve 0.15552*182.5 leaving you with 28.3824+142.1
Finally you'd solve 28.3824+182.5 giving you a final recharge of 170.4824s

Does this look right to you?

http://boards.cityofheroes.com/showthread.php?t=118546

Ah nice one, thanks.

I always preferred the way I explained it compared to Arcanaville's "tick" method.