Spent a while writing this. Your glyph choices should be Immolate / SL / Corruption.
CHANGES:
- Recalculated Curse of Agony with Amplify Curse.
- Recalculated Shadowbolt with 10% instead of 20%.
I wrote this because the DPCT shit that's going around is just plain annoying. I want to know how to raise my DPS. There's nothing you can do (save for not clipping DoT's and popping trinkets) during a fight to raise or lower your PDCT, as as noted somewhere else around here, DPCT isn't the end-all-be-all of warlocks.
SUMMARY
The top two glyphs for Affliction are Siphon Life and Immolate. Jury is still out on the 3rd
Personally, I have Corruption for my 3rd Glyph. I think that Corruption slices out Shadow Bolt with the 4pc bonus anyway.
Here is the amount of DPS gained from each Glyph:
Glyph of Shadow Bolt:
(shadow bolt dmg) / (2.5*(1-haste%)*((1490 + spirit*3) / 63.5))
Glyph of Curse of Agony:
Without Amplify Curse: (shadow Bolt dmg) * 0.0035714285714285714285714285714286
With Amplify Curse: (Shadow Bolt dmg) * 0.0029166666666666666666666666666667 more DPS
Glyph of Corruption:
(Shadow Bolt Dmg) * .0043333333333333
Glyph of Siphon Life:
0.0106175858019 * spell dmg + 7.9521446666666666666666666666667
Glyph of Immolate:
(must use WWS to compute)
Without Glyph: ((avg DoT Tick) * .2 / 3) - ( (#normal hits / #total hits) * (avg normal hit) + (#crits / #total hits) * (avg crit)) * .1/ 18
With Glyph: ((avg DoT Tick) * .1666666666666 / 3) - ( (#normal hits / #total hits) * (avg normal hit) + (#crits / #total hits) * (avg crit)) * .11111111 / 18
To summarize completely... It doesn't matter which glyph you chose. They're all within 5-6 dps of each other, and they're all so tiny anyway.
Curse of Agony
Alright, I did the Math, and I want people to know why the Glyph of Curse of Agony is pretty bad.
The Glyph of Curse of Agony does NOT give you significant extra time. You don't magically have 4 seconds that you didn't have before from this glyph. This is the core of why the Glyph of Curse of Agony is
terrible. The average person is going to look at the glyph and go "hmmm, so that's 4 seconds that I didn't have before." That's an extremely flawed line of thinking. Here's the simple math for it:
UNGLYPHED:
Over 168 seconds, you must cast Curse of Agony 7 times. (24*7 = 168).
This means that to keep an unglyphed Curse of Agony up with 100% DoT uptime, you must devote 7 global cooldowns to Curse of Agony every 168 seconds.
GLYPHED:
Over 168 seconds, you must cast Curse of Agony 6 times. (24*6 = 168).
This means that to keep a glyphed Curse of Agony up with 100% DoT uptime, you must devote 6 global coodlwons every 168 seconds.
This saves 361 mana (assuming 3/3 Suppression).
Note that over those 168 seconds, the BOTH CURSE OF AGONIES DO THE SAME AMOUNT OF DAMAGE
Unglyphed:
21 "low ticks"
21 "middle ticks"
21 "high ticks"
Glyphed:
18 "low ticks"
30 "middle ticks"
18 "high ticks"
***6 "middle ticks" = 3 "low ticks" + 3 "high ticks"***
Or, another way to look at is that at the end of those 168 seconds, both glyphs will have hit their full duration. The
average damage doesn't change since the
"extra ticks" gets added to the middle.
It's critical to understand that you're not "gaining 4 seconds" of DPS time every CoA. Instead, you're gaining 1 global cooldown every 2 minutes and 48 seconds. On average, that means that the glyph of curse of agony is saving you
.8% time, and that time also goes DOWN with haste. This means that every 2 minutes and 48 seconds, you're getting 60% more of a shadowbolt (Shadowbolt 2.5 second cast, GCD is 1.5 seconds. I think the ratio stays the same with haste, but I could be wrong. Either way, it's close).
But wait! You've got a talent to reduce the GCD on Curses down to 1 second. For affliction builds, the dps goes down even more. This "60%" quickly turns into a 40% - 50% (I'm going to be generous and call it a 49%), and timed save turns into .06%.
Let's look at the mana saved, because some people like to point fingers there. 361 mana saved every 168 seconds, or roughly 2.15 mana consumed / second. Improved Life Tap gives 2328 mana
base (1490 * 150*3 * 1.2). This means you're saving one global cooldown every 1082.8 seconds. That's approximately 18 minutes. Very few fights are ever that long, which means that the Glyph of Curse of Agony really isn't saving you any time in terms of # of lifetaps. Also considering that many fights require mobility, a smart warlock can tie in lifetaps with movement. What I'm really trying to say here is that the mana saved won't give you a DPS increase. You're saving .14% time in life-taps, but really, that "extra lifetap" will never occur.
So, the amount of DPS that curse of agony gives is this:
(Shadow bolt dmg) * .6 / 168
=(Shadow Bolt dmg) * 0.0035714285714285714285714285714286 more DPS
If your Shadowbolt hits for 5000 average, this means you're getting about 18 dps from this Glyph.
If you're affliction, this becomes even more terrible...
(Shadow bolt dmg) * .49 / 168
= (Shadow Bolt dmg) * 0.0029166666666666666666666666666667 more DPS
Corruption
This goes back to the arguments about Nightfall and it's actual increases in DPS. I'm going to short-change the proc rate here and say that the total nightfall proc rate with both the Glyph and Talent will be about 7.25%. Actual testing will put it around 7.6-7.8%, and math'll put it around that area too. But for ease, let's just say it's 7.25%.
First we need to calcluate how much dmg Nightfall ALONE (the 4% proc rate) actually gives you, then we need to calcluate how much dmg that 7.25% gives you, and the difference over the time area should be how often you get it.
With a 4% proc rate, this means that (mathematically) one out of every 25 corruption ticks you will get a nightfall proc, or once every 75 seconds. Math:
1 tick every 3 seconds.
# of ticks per second = .333333
Chance of Proc 4% = 1/25
# of procs per second = Chance of Proc * # of ticks per second = .04 * .333333 = 0.0133333
1 / # of procs per second = frequency of procs = 1 / .0133333 = 75
Now, the big key to understanding Nightfall (and this Glyph) is to realize that you're not saving 2.5 seconds - you're only saving 1 second. And that's at unhasted levels. This is because the "instant" shadowbolt still takes a global cooldown.
So, every 75 seconds, you're saving
1 - (haste %) seconds of time, or roughly 40% of a shadowbolt cast. Assuming that extra time goes purely into casting more shadowbolts, then we can calculate how much more damage you're getting.
First, we need to calculate the amount of time you get casting a shadowbolt:
1 Nightfall gives x more shadowbolts.
x = (time saved) / (shadowbolt casting time) = (1- (haste %)) / (2.5 * (1-(haste %))
Oh look! Haste effects cancel out!
x = 2/5
So, every 75 seconds, you're getting 2/5 more of a shadowbolt.
(Shadow bolt dmg) * .4 / 75 = Shadow Bolt Dmg * 0.0053333333333333333333333333333333 more DPS
Going back in with a 7.25% Nightfall rate
1 tick every 3 seconds.
# of ticks per second = .333333
Chance of Proc 7% = .0725
# of procs per second = Chance of Proc * # of ticks per second = .0725 * .333333 = 0.0241666666
1 / # of procs per second = frequency of procs = 1 / .0133333 = 41.38 seconds
With Glyph, you get one Nightfall proc every 41.38 seconds.
(Shadow Bolt dmg) * .4 / 41.38
= Shadow Bolt Dmg * 0.009666666 more DPS
Now we take the difference between the two.
= (Shadow Bolt Dmg * 0.009666666) - (Shadow Bolt Dmg * 0.0053333333333333)
= (Shadow Bolt Dmg) * .0043333333333333 increase in DPS
I do need to briefly mention the mana thing again.
You were casting .4 of a shadowbolt every 75 seconds. Shadowbolt costs 635 mana, 40% of that is 254. This means a mana consumption / second is 3.38667.
Now you're getting .4 of a shadowbolt every 41.38 seconds. Again, 254 / 41.38 is 6.138. Mana consumption difference is 2.75133 mana/second. This means you have to lifetap one more time every 846 seconds, or every 14.1 minutes. Again, same thing for the curse of agony mentioned above - there really is no practical difference.
Siphon Life
This one's tricky to compare since it's not saving you any time. I'm stealing from this thread:
Dots and you: The Affliction Warlock Thread
Let's start with the "normal" Siphon Life dmg.
NOTE: the .99 at the end is an incorrect calculation. You can get to 100% hit now on bosses.
0.85*1.15*1.1*1.2*1.13*1.01*( 810 + ((1.00+0.05)*((spelldmg)*1.03))
To simplify....
1.47261939 * (810 + 1.0815 * (spelldmg))
= 1192.8217059 + 1.592637870285 * spell dmg
Unglyphed Siphon Life DPS: (1192.8217059 + 1.592637870285 * spell dmg) / 30
Now, let's calculate that with the glyph by multiplying by 1.2
1.767143268 * (810 + 1.0815 * (spelldmg))
= 1431.38604708 + 1.911165444342 * spell dmg
Glyphed Siphon Life DPS: (1431.38604708 + 1.911165444342 * spell dmg) / 30
It's tricky to compare to Shadow Bolts, and with such terribad coefficient math in the current two threads, I'm not going to try. For now, let's just compare the differences...
DPS gained from this glyph: (238.56434118 + 0.318527574057*spell dmg) / 30
= 0.0106175858019 * spell dmg + 7.9521446666666666666666666666667
Immolate
Unfortunately, as I posted in both of the "dps coefficient" threads here, their coefficients are off. One thread gives a spell dmg coefficient on Immolate's DoT to be 320%, which is false. The other thread includes Malediction in Immolate's base dmg, which is also false.
So, I'm going to calculate it using WWS and real numbers. If you want to calculate it yourself, go out to a target dummy, cast immolate 20-30 times letting it tick for it's full duration, then parse the numbres with WWS. Just look at the immolate ability.
MATH WITHOUT THE GLYPH:
Direct Damage Component:
x = (# of normal hits) / (# of total hits)
y = (# of crits) / (# of total hits)
z = x*(avg normal hit) + y*(avg crit)
Lost DD dmg = z*.1
Adjusted DD DPS = Lost DD dmg / 18
DoT Component:
Gained DoT dmg = (avg DoT tick) * .2 * 6
Adjusted DoT DPS = Gained DoT dmg / 18
On one immolate cast...
Ammount of dmg gained = Gained DoT dmg - Lost DD dmg
Ammount of DPS gained = (Ammount of dmg gained) /18 = Adjusted DoT DPS - Adjusted DD DPS
Solo equation: ((avg DoT Tick) * .2 / 3) - ( (#normal hits / #total hits) * (avg normal hit) + (#crits / #total hits) * (avg crit)) * .1/ 18
MATH WITH THE GLYPH:
Direct Damage Component:
x = (# of normal hits) / (# of total hits)
y = (# of crits) / (# of total hits)
z = x*(avg normal hit) + y*(avg crit)
Lost DD dmg = z*.111111111111
Adjusted DD DPS = Lost DD dmg / 18
DoT Component:
Gained DoT dmg = (avg DoT tick) * .1666666666666 * 6
Adjusted DoT DPS = Gained DoT dmg / 18
On one immolate cast...
Ammount of dmg gained = Gained DoT dmg - Lost DD dmg
Ammount of DPS gained = (Ammount of dmg gained) /18 = Adjusted DoT DPS - Adjusted DD DPS
Solo equation: ((avg DoT Tick) * .1666666666666 / 3) - ( (#normal hits / #total hits) * (avg normal hit) + (#crits / #total hits) * (avg crit)) * .11111111 / 18
Last but not Least....
Shadow Bolt
635 mana goes down to 571.5 mana, or 63.5 mana saved.
(1490+spirit*3) / 63.5 = # of Shadowbolts before this glyph gets you one more shadowbolt
How much DPS does it give you?
(shadow bolt dmg) / (2.5*(1-haste%)*((1490 + spirit*3) / 63.5))