Talk:Ardor/@comment-3337222-20110121150821

Okay, I don't get how this mastery works. The in-client menu for masteries says that Ardor increases my champion's "bonus Attack Speed" by 4%, but I'm having trouble coming up with an equation that explains what I saw in game.

I just tested Ardor with Kayle and I began the game with an additional 0.013 attack speed (.625+.013). That's basically half of what a 4% increase on my total attack speed would be (0.025). I'm currently guessing this is somehow understood through the word "bonus" in the in-client mastery tooltip, but, if so, I'm not sure how. If the 4% only affects my "bonus" attack speed, then for Ardor to give me 0.013 at the start (with no items, runes, or other masteries offering AS) a naked, level-1 Kayle must have 0.325 "bonus" attack speed and 0.3 base attack speed.

It gets weirder than that, though. I added on a Dagger to see how its additional 15% AS would interact with the bonus Ardor was giving me. In light of the above paragraph, you'd think that you would combine 15% of Kayle's starting AS (0.09375) with the 0.325 "bonus" AS, multiply that total (0.41875) by 0.04 to account for Ardor, and then go on to combine that result (0.01675) with the dagger's bonus (0.09375) to arrive at a total of 0.1105 total bonus attack speed. However, the in-game statistic said I had 0.112 bonus attack speed (0.0015 more than you'd think). So, long story short, the only way I can think to arrive at 0.112 is if I assume there's two kinds of bonus attack speed and add on Ardor's 4% twice. That would work like this:

(((((0.325 x 0.04 = 0.013) + 0.625 = 0.638) x 0.15 = 0.0957) + 0.325 = 0.4207) x 0.04 = 0.016828) + 0.0957 = 0.112528

Round that last number off the thousandths place and you've got the exactly right number. The general formula would then look like this:

(total bonus attack speed) = ((((([starting bonus attack speed] x [Ardor's percentage bonus]) + [total starting attack speed]) x [item percentage bonus]) + [starting bonus attack speed]) x [ardor's percentage bonus]) + ((([starting bonus attack speed] x [Ardor's percentage bonus]) + [total starting attack speed]) x [item percentage bonus])

Essentially, Ardor's gets figured in twice, once to affect the value that attack speed items are multiplied with, and then once again to increase the bonus that attack speed items provide. Seems pretty stupid and complicated. Why would the game have that many confusing designations for attack speed? Why doesn't Riot treat Ardor's bonus like the straight percentage bonuses gained from Runes and Items? Also, how are the AS bonuses gained when a champion levels up figured into this?