conclusion:

1.spells damage of two hands counted separately,so does critical strikes,that makes the Killing Machine of PPM mechanism less efficient,but the additional rune makes up the shortcomming.

2. 3 Threat of Thassarian,formula of off hand damage are similar with main hand's,just less damage.

3. 15% off hand damage from talent are counted directly on the final damage,that is:50%*1.15=57.5%.and  actual improvement was 7.5%/150%=5% when take the 100 main hand damage into consideration,3 skill point provides 3% hit rating and 5% damage taking.

Here's the testing procedure

Stats

AP 3020

Enough hit rating and Precision ,16.61%critical rating，27.77%penetration

double Hailstorm Lv213  1.5s,non-damage-related enchanting

No meta socket,no 9% crit bonus

Talent:http://ptr.wowhead.com/?talent#jZGg0thrhk0uf

Method：count the number of two hands without disease and impute the formula

Result's below:

main hand Obliterate without crit：105 trying，average：909.5577，maximum：983，minimum862

main hand Obliterate crit:31trying，average1826.367，maximum1929，minimum1718

off hand Obliterate without crit：100trying，average456.2727，maximum487，minimum429

off hand Obliterate crit：36trying，average909.5714，maximum858，minimum961

calculate the damage mitigation of armor from the main hand damage

main hand data：

(3020*2.4/14+164)*80%+467=<Obliterate=<(3020*2.4/14+306)*80%+467

1012.3714=<Obliterate=<1125.9714

Theoretical average damage should be：(1012.3714+1125.9714)/2=1069.1714

Actual average：909.5577

mitigation：(1-(909.5577/1069.1714))*100%=14.93%

Real damage%：1-14.93%=85.07%

checking：maximum983/85.07%=1156 (FAIL)

minimum 862/85.09%=1013 (PASS)

main hand Crit

Crit damage should be：1012.3714*2*85.5%=<Obliterate=<1125.9714*2*85.5%

1731.1551=<Obliterate=<1925.4110

The mitigation can be located at 14.7%after amending.(85.3%spell damage)

The average off hand crit damage are same with melee damage of main hand's，and average melee damage of off hand are 1/2 of main hand's,so the formula of off hand Obliterate is:

[(AP*2.4/14+Weapon's upper &lower bound)*80%+467]*50%

Conclusion:with 3 Threat of Thassarian，off hand and main hand spell damageformula are similar,but the number's 50% lower.

Then we'll testing if the 3 point talent in the second floor about dual wield effects the spell or not

Others remained except the dual wield talent the second line\(+3%hit rating，off hand+15%damage)

Talent:http://ptr.wowhead.com/?talent#jZGgcthrhk0uf

main hand Obliterate without crit：103trying，average910.9804，maximum979，minimum860

main hand Obliterate critical strike：40trying，average1822.026，maximum1906，minimum1723

off hand Obliterate without crit：104trying，average520.8641，maximum559，minimum493

off hand Obliterate critical strike：39trying，average1052.816，maximum1113，minimum994

It's clear that main hand Obliterate changes little,and average damage remains

But off hand Obliterate promoted a lot，average melee attack increased to 520.8641 from 456.2727,14.15% percent higher.Average crit increased from 909.5714 to 1052.816,the percentagereaches 15.74%

Average addition：(15.74%*39+14.15%*104)/(39+104)=14.58%

Three conjectures in consideration:

conjecture1：off hand=[(AP*2.4/14+Weapon's upper &lower bound*1.15)*80%+467]*50%*mitigation

conjecture2：off hand=[(AP*2.4/14+Weapon's upper &lower bound)*80%*1.15+467]*50%*mitigation

conjecture3：off hand=[(AP*2.4/14+Weapon's upper &lower bound)*80%+467]*50%*1.15*mitigation

Fron conjecture1，Obliterate should be：

((3020*2.4/14+164*1.15)*80%+467)*50%*85.3%=<off hand Obliterate<=((3020*2.4/14+306*1.15)*80%+467)*50%*85.3%

so：

440.1699=<off hand Obliterate=<495.8879

   Contracting with off hand Obliterate,(maximum and minimum are 559/493),it's hard to measure the data,so the conjecture1's fault

From conjecture2, damage of Obliterate should be:

((3020*2.4/14+164)*80%*1.15+467)*50%*85.3%=<off hand Obliterate=<((3020*2.4/14+306)*80%*1.15+467)*50%*85.3%

results:

466.6665514=<off hand Obliterate=<522.3845114

A large disparity with off hand Obliterate's (maximum/minimum:559/493)so the conjecture2 also fault

conjecture3,Obliterate should be:

((3020*2.4/14+164)*80%+467)*50%*85.3%*1.15=<off hand Obliterate=<((3020*2.4/14+306)*80%+467)*50%*85.3%*1.15

Results：

496.5429=<off hand Obliterate=<552.2608

That measures the actual; testing result of off hand Obliterate,thouth we don't know how could few times of exceeding theoritical upper limit,we still can prove that formula's more rational.

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