Combat Ratings at level 85 (Cataclysm) - Page 19

Whitetooth · 09/26/08, 4:51 AM

I copied 8 premades to 2 accounts, and was able to gather data for 8 classes at level 80.
The death knight dodge/agi values I had were strange and seemed wrong, so I did some more tests and found that the K value used in calculating parry and dodge for death knights were not the same.
Only DKs seem to behave this way, I double checked warriors/paladins and K values were the same for dodge and parry.

Here are the results:

	$K_p$	$C_p$	$1/C_p$	$K_d$	$C_d$	$1/C_d$	Lv80 Dodge/Agi	Lv80 Agi/1%Dodge	Base Dodge
Warrior	0.956	47.003525	0.021275	0.956	88.129021	0.011347	0.0136	73.5294	3.4636
Paladin	0.956	47.003525	0.021275	0.956	88.129021	0.011347	0.0192	52.0833	3.2685
Hunter	0.988	145.560408	0.006870	0.988	145.560408	0.006870	0.0133	75.1880	-5.4500
Rogue	0.988	145.560408	0.006870	0.988	145.560408	0.006870	0.0241	41.4938	-0.5900
Priest	0	0	0	0.983	150.375940	0.006650	0.0192	52.0833	3.1830
Deathknight	0.9935605	46.104195	0.021690	0.956	88.129021	0.011347	0.0136	73.5294	0.7580
Shaman	0	0	0	0.988	145.560408	0.006870	0.0192	52.0833	1.6750
Mage	0	0	0	0.983	150.375940	0.006650	0.0195	51.2821	3.4575
Warlock	0	0	0	0.983	150.375940	0.006650	0.0192	52.0833	2.0350
Druid	0	0	0	0.972	116.890707	0.008555	0.0240	41.6667	4.9510

Edit: I got a 3ed account, calculating hunter/rogue stats now.
Edit2: Added new Hunter and Rogue data.

Endoscient · 09/26/08, 11:42 AM

Originally Posted by Whitetooth

How did I get defense gear with a premade? I took the portal from Dalaran to Shat and bought +4 defense gems from Scryers or Aldor vendors.

Thats a good idea, I totally forgot about those vendor gems. I tried the AH but could only find Agi pieces. So you still need paladin data with defense/dodge/parry?

• frmorrison · 09/26/08, 11:51 AM

Originally Posted by Endoscient

Thats a good idea, I totally forgot about those vendor gems. I tried the AH but could only find Agi pieces. So you still need paladin data with defense/dodge/parry?

He wrote "8 classes done, 2 to go: Hunters and Rogues" so I think he is good to go with Paladins

.

However, you only get 4 transfers per account, so that is why he is missing two classes.

Whitetooth · 09/26/08, 11:55 AM

Originally Posted by Endoscient

Thats a good idea, I totally forgot about those vendor gems. I tried the AH but could only find Agi pieces. So you still need paladin data with defense/dodge/parry?

I'm good with paladin data now, thanks, do you have any transfers left for hunter or rogue?

Edit: nvm, I borrowed a 3ed account, doing the last 2 classes now

Whitetooth · 09/26/08, 3:16 PM

First post updated with final(hopefully) results for all classes.

Mijae · 09/26/08, 4:33 PM

Just to verify, does the Base Dodge listed in your first table include dodge from racial agility? If so, are stat gains on base agility from modifiers like Blessing of Kings affected by DR.

So the pre-DR formula would be:

defense * 0.04 + (totalAgility - raceAgility) * dodgePerAgi + dodgeRating * dodgePerRating

Whitetooth · 09/26/08, 4:45 PM

Now I have everything I need, its time to implement the DR formula into RatingBuster.

But things aren't that straight forward though, RatingBuster was built to work for all levels for all classes, not just level 80s. The problem is we don't have the Dodge/Agi (before DR) value for all levels, so the only way is to calculate it in game.

What RatingBuster can get from the WoW API is very limited, these are the values we know or can be calculated easily:
$D'$ =Total Dodge% after DR
$D_r$ =Dodge from Defense and Dodge Rating before DR
$D_b$ =Base dodge (This is what you have with 0 Agility, independent of level, can be looked up in my first post)
$A$ =Total Agility
$A_b$ =Base Agility (This is what you have with no gear on)
$A_g$ =Total Agility - Base Agility

Let $d$ be the Dodge/Agi (before DR) value we are going to calculate(this value is constant for a given level and class).

$\frac{1}{x'} = \frac{1}{C_d}+\frac{k}{x}}$

$x'=D'-D_b-A_b*d$
$x=A_g*d+D_r$

$\Rightarrow \frac{1}{D'-D_b-A_b*d}=\frac{1}{C_d}+\frac{k}{A_g*d+D_r}=\frac{A_g*d+D_r+C_d*k}{C_d*A_g*d+C_d*D_r}$

$\Rightarrow C_d*A_g*d+C_d*D_r=[(D'-D_b)-A_b*d]*[Ag*d+(D_r+C_d*k)]$

After rearranging the terms, we get an equation of type $a*d^2+b*d+c$ where
$a=-A_g*A_b$
$b=A_g(D'-D_b)-A_b(D_r+C_d*k)-C_dA_g$
$c=(D'-D_b)(D_r+C_d*k)-C_d*D_r$

$Dodge/Agi=\frac{-b-\sqrt{b^2-4ac}}{2a}$

Whitetooth · 09/26/08, 4:49 PM

Originally Posted by Mijae

Just to verify, does the Base Dodge listed in your first table include dodge from racial agility?

No, BaseDodge is the amount of dodge you have with 0 agility, this value is needed by RatingBuster to calculate the dodge/agi for you, no matter what level you are.

Originally Posted by Mijae

If so, are stat gains on base agility from modifiers like Blessing of Kings affected by DR.

I haven't tested this so I don't know.

Edit: I just tested Kings and its affected by DR.

Originally Posted by Mijae

So the pre-DR formula would be:
defense * 0.04 + (totalAgility - raceAgility) * dodgePerAgi + dodgeRating * dodgePerRating

This seems correct to me.

• frmorrison · 09/26/08, 4:50 PM

Interesting, that Dodge/Agi formula you have there the general formula to solve the quadratic equation, except the first part is - b then + or - the square root.

drumbum · 09/27/08, 4:47 AM

Originally Posted by frmorrison

Interesting, that Dodge/Agi formula you have there the general formula to solve the quadratic equation, except the first part is - b then + or - the square root.

That's because he was solving a quadratic equation that he derived (because the diminishing returns that Blizzard implemented has been found to follow a 2nd order polynomial). And the 2nd solution is thrown out because it is extraneous (gives a negative value).

Whitetooth · 09/27/08, 8:43 AM

The DK values for parry didn't seem right, so I did more testing and found that my original assumption that parry rating from base str are not affect by DR is wrong, it turns out they do.
So when I got this right and redid the calculations, k and c values for parry turned out to be exactly the same was warriors and paladins.
First post updated again.

landsoul · 09/27/08, 11:47 PM

so what is little "d" stand for?

koaschten · 09/28/08, 5:06 AM

Originally Posted by landsoul

so what is little "d" stand for?

Let $d$ be the Dodge/Agi value we are going to calculate.

Should read a bit more thoroughly.

landsoul · 09/28/08, 3:19 PM

Sorry I missed it, so basically dodge%(from agility) = agility * f(x)

where f(x) = [-b-sqrt(b^2-4ac)]/2a and is a representation of how much other dodge you have.

f(x) gets smaller at some rate f'(x) ???

This concept can also be applied to other stats such as dodge rating, which has a different formula probably? I would hope that dodge talents and base dodge aren't affected by the recalculation? Do they increase the cap that diminished dodge approaches? How hard would it be to find total dodge% given from a for example 30 agility at x, y, z dodge levels?

Basically what people would like to see are plug and chug conversion formulas. Something that people can use without having to be an upper level math major to understand. Write a program what inputs for what you want to calculate an increase of (30 agility to dodge, 20 parry rating to parry, etc), the player's class, and avoidance levels, and outputs the total gain for the prompted stat.

Whitetooth · 09/28/08, 4:02 PM

I've implemented the final results into StatLogicLib r82109, this is RatingBuster's core, where all major math calculations are done.

* baseDodge = StatLogic:GetBaseDodge([class]) added new values for wotlk

* dodgePerAgi = StatLogic:GetDodgePerAgi() now implements the formula derived in post #277 for wotlk

* modDodgeBeforeDR, drFreeDodge = StatLogic:GetDodgeChanceBeforeDR()
Calculates your current Dodge%(modDodgeBeforeDR + drFreeDodge) before diminishing returns.

* modParryBeforeDR, drFreeParry = StatLogic:GetParryChanceBeforeDR()
Calculates your current Parry%(modParryBeforeDR + drFreeParry) before diminishing returns.

* avoidanceAfterDR = StatLogic:GetAvoidanceAfterDR(avoidanceType, avoidanceBeforeDR[, class])
Calculates the avoidance you get after diminishing returns.

* gainAfterDR = StatLogic:GetAvoidanceGainAfterDR(gainBeforeDR)
Calculates the avoidance gain after diminishing returns for gainBeforeDR with player's current stats.

As for RatingBuster itself, r82110 has DR support for Dodge% and Parry% differance values in StatSummary, and an option to turn DR calculations off, only works in wow 3.0.1 or above.