Sinergy

I would like to know if someone know a way to calculate the average domage of a spell depend of

% spell critiques
and critic domage modifier

with tso some spell avec a 1.4 or more crits domage modifier and I'm not allready cap in critic
arrount 84 91 in raid depend of if a have a troub or not.

So i whoul like to determine with spell is better depending of this 2 variable.

thanks

claimabstract

First, I establish the following assumptions and nomenclature:
1. Let A represent the lower end of the damage range, and B the upper end of the damage range, of a spell
2. Let C represent the percent chance of a crit, and, for purposes of this discussion, I will assume that C will be unmodified (i.e., the level of the mob will not be considered). For example, C=84 means there's an 84% chance of a crit.
3. Let D represent the spell crit bonus, indicated as an integer (i.e., a percent without the percent sign)
4. Let AvgDmg(scenario) represent the average damage in a scenario.
5. Let [x,y] denote the range from x to y.
6. Let max(x,y) be the greater value of x and y.
7. All other factors, including debuffs, buffs, spell damage modifiers, etc. will be ignored for the purposes of these calculations, as this is what was asked

I'll divide your question into two scenarios: (a) no crit, and (b) crit.

(a) No crit

In the event of no crit, the spell damage will be ~ U[A, B], meaning the values will be randomly uniformly distributed between A and B. In this case:

AvgDmg(no crit) = (B-A)/2

(b) Crit

In the event of a crit, the damage is forced to fall in the range [B+1 , B x (1.3 + D/100)]. if the damage "spread" of a spell is sufficiently large, the damage value after application of the crit bonus (i.e., 30% plus D%) is bumped up to (B+1) to meet the minimum value permitted on a crit. Thus, a portion of the original damage range [A,B] may receive more than a (30% + D%) increase.

For ease of understanding, I will look at the case where some values in the damage range [A,B] are sufficiently low to be set to (B+1) after application of the crit. The portion of values in the original damage range [A,B] that will be bumped up to B+1 after application of the crit is:

Prob(B+1|crit) = max[ ( (B+1)/(1.3+D/100) - A ) / (B-A) , 0]

The remainder of the time, the damage values, after application of the crit, will be uniformly distributed over the range [B+1,Bx(1.3+D/100)] and will thus have an average value of:

= ( B+1 + Bx(1.3+D/100) ) / 2

Thus, when a crit happens, the average damage is:

AvgDmg(crit) = Prob(B+1|crit) x (B+1) + (1-Prob(B+1|crit)) x (B+1 + Bx(1.3+D/100))/2

Total

Thus, the average damage overall is therefore:

AvgDmg(all) = AvgDmg(crit) x C/100 + AvgDmg(no crit) x (1 - C/100)

I'm too lazy to expand this all out, but you can work through it above.

templetantrums

If you are too lazy to expand it all out, how about, instead, displaying a screen shot of a spell, showing your existing persona window with spell modifiers to show your spell crit/crit dmg modifier and doing a walk through of how you'd come up with AveDmg with critical and non on that particular spell. ;)

I don't think I'm asking for much!

__________________

claimabstract

Good, I'm always interested in finding a better way to convey information. Please feel free to run with it.

Sinergy

thanks a lot
so if i have understand
i respect my aa, take off all base domage modifie and all +spell damage
cap ma int
like that i wil have the base dommage for this spell
after that
i aplic all base domage modifier
and add normaliezd damage
But i think if i cap my int with my curent stuff, the result will be the same as it show in tooltips no ?

and after i aply your formula, and like this i can have the average domage for this spell

SacDaddy

I get confused easily.

Anaii

Must... resist... Joke about... Domage and Baldness...