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Hunter damage cycles breakdown (Nerubian Slavemaker update)

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THEORY

Using an Aimed + Multi-Shot cycle.

Assume Multi-Shot is 100% instant.

Disregarding mana issues.

Disregarding haste buffs (Quick Shots, Rapid Fire, Berserking, etc).

Crits are disregarded. Ranged weapons with crit, either directly (+crit%) or indirectly (+agility) will be a bit lower here than they should be, if you compare different weapons.

Every cycle consists roughly of:

1 Aimed Shot

1 Multi-Shot

x Auto Shot

With most weapons, you'll find the following happening:

Aimed Shot finishes cooldown. Auto Shot fired ~1 sec ago.

This makes you choose between:

A Use Aimed Shot when its cooldown is finished.

B Use Aimed Shot when your next Auto Shot fires.

A makes you lose an Auto Shot, but your cycle time is shorter than in B.

B adds an Auto Shot, but extends your cycle time.

B will do more damage per cycle than A, that's fairly obvious. However, B will also take longer, so you can't automatically say that B gives more DPS than A.

Since Multi-Shot has the longest cooldown (10 sec), it would be logical to set a default cycle to 10 sec. However, since we stated Multi-Shot is an instant, the damage can easily be converted into any cycle lenght.

Roughly: If Multi-Shot does 1000 damage every 10 seconds, and the cycle is 5 seconds, the cycle damage for Multi-Shot becomes 500.

Likewise, if the cycle lenght is 20 seconds, the cycle damage would be 2000.

Basically, convert Multi-Shot damage to DPS (Multi-Shot / 10), multiplied by cycle lenght.

More correct, if a cycle is 10-13 seconds, you can only have 1 Multi-Shot per cycle, else it will crash with Aimed Shot cooldown.

If the cycle is between 9 (minimum cycle length) and 10, you have to include damage lost by conflicting cooldowns.

I won't go into the details here, ask if you're interested.

With that in mind, I'll give numbers for setting cycle default both to 10 seconds (Multi-Shot), and to 9 seconds (Aimed Shot).

AIMED SHOT CYCLE (9 SECOND DEFAULT)

The cooldown of Aimed Shot is 6 seconds, casting time is 3 seconds. During casting, Auto Shot cools down. This means that basically every weapon will get an instant Auto Shot after Aimed Shot. A 3.4 weapon becomes a 2.96 one with a 15% quiver. With a 13% quiver, it's 3.01

During the casting of Aimed Shot, no Auto Shots are fired.

This leads to the fact that a default cycle (9 seconds) has 6 seconds of Auto Shot, with a "free" Auto Shot following the Aimed Shot.

Example for a default cycle for a 1.0 speed weapon after quiver, Multi-Shot left out since it's instant and can be fitted anywhere (except during Aimed Shot casting):

1.0 Auto Shot fires

2.0 Auto Shot fires

3.0 Auto Shot fires

4.0 Auto Shot fires

5.0 Auto Shot fires

6.0 Auto Shot fires

6.0 Start Aimed Shot

9.0 Aimed Shot fires

9.0 Auto Shot fires (cooled down during Aimed Shot)

+ Multi-Shot

Reason for not including 0.0 Auto Shot fires: If you repeat it, you'll see the next Auto Shot fire at 10.0, which is correct, since one fired at 9.0. You could rewrite it and include the Auto Shot at 0.0, but then you couldn't include the "free" Auto Shot after Aimed Shot, since they're essentially the same shot.

CycleLength = 9.0 seconds

First, we convert Multi-Shot damage to cycle damage.

CycleDamage = 7*AutoShot + AimedShot + 0.86*MultiShot

CycleDPS = CycleDamage / CycleLength

CycleDPS = (7*AutoShot + AimedShot + *0.86MultiShot) / 9.0

That should take care of weapons fitting perfectly with the default cycle.

Next, weapons which don't fit perfectly:

For these weapons, you'll have the scenario as described earlier, Aimed Shot will be ready, Auto Shot will be in the middle somewhere. For example, with a 2.3 speed weapon after quivers:

2.3 Auto Shot fires

4.6 Auto Shot fires

6.0 Aimed Shot cooled down

6.9 Auto Shot ready to fire

Now, let's look at the cycles using our options from above.

A					B

2.3 Auto Shot fires			2.3 Auto Shot fires

4.6 Auto Shot fires			4.6 Auto Shot fires

6.0 Start Aimed Shot			6.9 Auto Shot fires

9.0 Aimed Shot fires			6.9 Start Aimed Shot

9.0 Auto Shot fires			9.9 Aimed Shot fires

					9.9 Auto Shot fires

+ Multi-Shot				+ Multi-Shot
Converting both into CycleDPS: A (3*AutoShot + AimedShot + 0.86*MultiShot) / 9.0 B (4*AutoShot + AimedShot + 0.98*MultiShot) / 9.9 The best cycle in terms of damage would then be the one with highest CycleDPS. Note that using a Aimed cycle, your Aimed Shot will catch up to your Multi-Shot. Using Aimed Shot first will yield the most DPS. The crashing Multi-Shots have been added in the formulae, so it should be as correct as possible. RHOK'DELAR 15% quiver, speed = 2.52 Set AutoShot to 517 Set AimedShot to 1152 Set MultiShot to 753 Average damage against a target, before armor is applied.
A					B

2.52 Auto Shot fires			2.52 Auto Shot fires

5.04 Auto Shot fires			5.04 Auto Shot fires

6.0 Start Aimed Shot			7.56 Auto Shot fires

9.0 Aimed Shot fires			7.56 Start Aimed Shot

9.0 Auto Shot fires			10.56 Aimed Shot fires

					10.56 Auto Shot fires

+ Multi-Shot				+ Multi-Shot


CycleDPS A				CycleDPS B

= (3*517 + 1152 + 0.86*753) / 9.0	= (4*517 + 1152 + 753) / 10.56

= 3348.4 / 9.0				= 3973 / 10.56

= 372.05				= 376.23 (optimal cycle)
MULTI-SHOT CYCLE (10 SECONDS DEFAULT) In this case, we set the default cycle to 10 sec. This allows for a more static and predictable cycle, with Aimed Shot and Multi-Shot always appearing at the same time each cycle. Since we fire Aimed Shot directly after Multi-Shot, we have 7 seconds of Auto Shot in the default cycle. Again, since we stated Multi-Shot is an instant, the damage can be converted into any cycle lenght. Again, a "free" Auto Shot follows the Aimed Shot. The 1 second pause after Multi-Shot is the global cooldown. Example for a default cycle for a 1.75 speed weapon after quiver: 1.75 Auto Shot fires 3.50 Auto Shot fires 5.25 Auto Shot fires 6.00 Multi-Shot fires 7.00 Auto Shot fires 7.00 Start Aimed Shot 10.0 Aimed Shot fires 10.0 Auto Shot fires (cooled down during Aimed Shot) CycleLength = 10.0 seconds First, we convert Multi-Shot damage to cycle damage. CycleDamage = 5*AutoShot + AimedShot + MultiShot CycleDPS = CycleDamage / CycleLength CycleDPS = (5*AutoShot + AimedShot + *MultiShot) / 10.0 That should take care of weapons fitting perfectly with the default cycle. Next, weapons which don't fit perfectly. For these weapons, you'll have the scenario as described earlier, Aimed Shot will be ready, Auto Shot will be in the middle somewhere. For example, with a 2.0 speed weapon after quivers: 2.0 Auto Shot fires 4.0 Auto Shot fires 6.0 Auto Shot fires 6.0 Multi-Shot fires 7.0 Aimed Shot ready 8.0 Auto Shot ready to fire
A					B

2.0 Auto Shot fires			2.0 Auto Shot fires

4.0 Auto Shot fires			4.0 Auto Shot fires

6.0 Auto Shot fires			6.0 Auto Shot fires

6.0 Multi-Shot fires			6.0 Multi-Shot fires

7.0 Start Aimed Shot			8.0 Auto Shot fires

10.0 Aimed Shot fires			8.0 Start Aimed Shot

10.0 Auto Shot fires			11.0 Aimed Shot fires

					11.0 Auto Shot fires
Converting both into CycleDPS: A (4*AutoShot + AimedShot + MultiShot) / 10.0 B (5*AutoShot + AimedShot + MultiShot) / 11 Again, keep in mind that using B, Aimed Shot would catch up with Multi-Shot if adding an additional Auto Shot would take more than 1 second (or global cooldown). The best cycle in terms of damage would be the one with highest CycleDPS. RHOK'DELAR 15% quiver, speed = 2.52 Set AutoShot to 517 Set AimedShot to 1152 Set MultiShot to 753 Average damage against a target, before armor is applied.
A					B

2.52 Auto Shot fires			2.52 Auto Shot fires

5.04 Auto Shot fires			5.04 Auto Shot fires

6.0 Multi-Shot fires			6.0 Multi-Shot fires

7.0 Start Aimed Shot			7.56 Auto Shot fires

10.0 Aimed Shot fires			7.56 Start Aimed Shot

10.0 Auto Shot fires			10.56 Aimed Shot fires

					10.56 Auto Shot fires

CycleDPS A				CycleDPS B

= (3*517 + 1152 + 753) / 10		= (4*517 + 1152 + 753) / 10.56

= 3456 / 10.0				= 3973 / 10.56

= 345.60				= 376.23 (optimal cycle)
Since adding another Auto Shot here only takes 0.56 seconds, the cycle will remain constant, since we basically have a 1 second buffer due to the global cooldown. If you examine this cycle, you'll see it's the same as the Aimed Shot (default 9 second) B cycle. Now... Should you always use cycle B? Should you always delay your Aimed Shot so you can squeeze in an additional Auto Shot? ASHJRE'THUL 15% quiver, speed = 2.96 Set AutoShot to 616 Set AimedShot to 1186 Set MultiShot to 792 Average damage against a target, before armor is applied. These numbers are with the exact same gear as in the Rhok'delar example above, ranged weapon is the only thing changed. Aimed + Multi-Shot (9 sec default)
A					B

2.96 Auto Shot fires			2.96 Auto Shot fires

5.92 Auto Shot fires			4.92 Auto Shot fires

6.0 Start Aimed Shot			8.88 Auto Shot fires

9.0 Aimed Shot fires			8.88 Start Aimed Shot

9.0 Auto Shot fires			11.88 Aimed Shot fires

					11.88 Auto Shot fires

+ Multi-Shot				+ Multi-Shot

CycleDPS A				CycleDPS B:

= (3*616 + 1186 + 0.86*792) / 9.0	= (4*616 + 1186 + 792) / 11.88

= 3712.86 / 9.0				= 4442 / 11.88

= 412.54 (optimal cycle)		= 373.91
In this case, A is better than B. This leads to the conclusion that your choice of cycle should be dependant on your weapon's speed. Now, let's check with the... Multi + Aimed cycle (10 sec default)
A					B

2.96 Auto Shot fires			2.96 Auto Shot fires

4.92 Auto Shot fires			4.92 Auto Shot fires

6.0 Multi-Shot fires			6.0 Multi-Shot fires

7.0 Start Aimed Shot			8.88 Auto Shot fires

10.0 Aimed Shot fires			8.88 Start Aimed Shot

10.0 Auto Shot fires			11.88 Aimed Shot fires

					11.88 Auto Shot fires

CycleDPS A				CycleDPS B

= (3*616 + 1186 + 792) / 10		= (4*616 + 1186 + 792) / 11.88

= 3826 / 10.0				= 4442 / 11.88

= 382.60 (optimal cycle)		= 373.91

NOTE: Using the optimal Multi-Shot rotation is worse (by a fair margin) than using the optimal Aimed Shot rotation for Ashjre'thul.

Feel free to ask me to run through the cycles for other weapons, and I'll post them in a reply as fast as possible.

Oh, and and European servers already ;)

Talnivarr EU

Edit: Should be a bit more readable now ;)

Edit 2: Updated with corrections to Multi-Shot damage per cycle.

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Interesting way to approach it.

I think you should do Huhuran Stinger 2.70 speed, quiver 2.35 speed.

Also Blessed Qiraji Musket 2.6 speed, quiver 2.26 speed

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HUHURAN'S STINGER

15% quiver. Speed = 2.35

Set AutoShot to 493

Set AimedShot to 1154

Set MultiShot to 755

Average damage against a target, before armor is applied. These numbers are with the exact same gear as in the Rhok'delar example above, ranged weapon is the only thing changed.

Aimed + Multi (9 sec default)

A					B

2.35 Auto Shot fires			2.35 Auto Shot fires

4.70 Auto Shot fires			4.70 Auto Shot fires

6.0 Start Aimed Shot			7.05 Auto Shot fires

9.0 Aimed Shot fires			7.05 Start Aimed Shot

9.0 Auto Shot fires			10.05 Aimed Shot fires

					10.05 Auto Shot fires

+ Multi-Shot				+ Multi-Shot

CycleDPS A				CycleDPS B

= (3*493 + 1154 + 0.86*755) / 9.0	= (4*493 + 1154 + 755) / 10.05

= 3280.1 / 9.0				= 3881 / 10.05

= 364.46				= 386.17 (optimal cycle)
Multi + Aimed cycle (10 sec default)
A					B

2.35 Auto Shot fires			2.35 Auto Shot fires

4.70 Auto Shot fires			4.70 Auto Shot fires

6.0 Multi-Shot fires			6.00 Multi-Shot fires

7.0 Start Aimed Shot			7.05 Auto Shot fires

10.0 Aimed Shot fires			7.05 Start Aimed Shot

10.0 Auto Shot fires			10.05 Aimed Shot fires

					10.05 Auto Shot fires

CycleDPS A				CycleDPS B

= (3*493 + 1154 + 755) / 10		= (4*493 + 1154 + 755) / 10.05

= 3388 / 10.0				= 3881 / 10.05

= 338.80				= 386.17 (optimal cycle)
BLESSED QIRAJI MUSKET 15% quiver. Speed = 2.26 Set AutoShot to 477 Set AimedShot to 1150 Set MultiShot to 752 Average damage against a target, before armor is applied. These numbers are with the exact same gear as in the Rhok'delar example above, ranged weapon is the only thing changed. Aimed + Multi (9 sec default)
A					B

2.26 Auto Shot fires			2.26 Auto Shot fires

4.52 Auto Shot fires			4.52 Auto Shot fires

6.0 Start Aimed Shot			6.78 Auto Shot fires

9.0 Aimed Shot fires			6.78 Start Aimed Shot

9.0 Auto Shot fires			9.78 Aimed Shot fires

+ Multi-Shot				9.78 Auto Shot fires

					+ Multi-Shot

CycleDPS A				CycleDPS B

= (3*477 + 1150 + 0.86*752) / 9.0	= (4*477 + 1150 + 0.96*752) / 9.78

= 3225.6 / 9.0				= 3779.9 / 9.78

= 358.4					= 386.49 (optimal cycle)
Multi + Aimed cycle (10 sec default)
A					B

2.26 Auto Shot fires			2.26 Auto Shot fires

4.52 Auto Shot fires			4.52 Auto Shot fires

6.0 Multi-Shot fires			6.00 Multi-Shot fires

6.78 Auto Shot fires			6.78 Auto Shot fires

7.0 Start Aimed Shot			9.04 Auto Shot fires

10.0 Aimed Shot fires			9.04 Start Aimed Shot

10.0 Auto Shot fires			12.04 Aimed Shot fires

					12.04 Auto Shot fires

CycleDPS A				CycleDPS B

= (4*477 + 1150 + 752) / 10		= (5*477 + 1150 + 752) / 12.04

= 3810 / 10.0				= 4287 / 12.04

= 381.00 (optimal cycle)		= 356.06

Edit: Updated with conflicting timers taken into consideration.

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As an additional point, going with Cycle B will abuse the 5 second rule more efficiently and get a slightly better mana regen rate, since you continue to regen mana during the 3 second cast of Aimed Shot.

Aimed Shot immediately followed by Multishot gives you only one interuption in your mana regen cycle. (Time from Aimed Shot going off until Multishot goes off, then the 5 second rule, and then you get regen tics until the next Aimed Shot.

Multishot followed by Aimed shot "wastes" the time between the Multishot and Aimed Shot (in regards to mana regen) since the Multishot breaks mana regen, and nothing happens during the 3 seconds Aimed Shot is casting, and then once it casts, the 5 second rule resets.

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TOXIN INJECTOR

15% quiver. Speed = 1.74

Set AutoShot to 371

Set AimedShot to 1123

Set MultiShot to 720

Average damage against a target, before armor is applied. These numbers are with the exact same gear as in the Rhok'delar example above, ranged weapon is the only thing changed.

Aimed + Multi (9 sec default)

A					B

1.74 Auto Shot fires			1.74 Auto Shot fires

3.48 Auto Shot fires			3.48 Auto Shot fires

5.22 Auto Shot fires			5.22 Auto Shot fires

6.00 Start Aimed Shot			6.96 Auto Shot fires

9.0 Aimed Shot fires			6.96 Start Aimed Shot

9.0 Auto Shot fires			9.96 Aimed Shot fires

					9.96 Auto Shot Shot fires

+ Multi-Shot				+ Multi-Shot

CycleDPS A				CycleDPS B

= (4*371 + 1123 + 0.86*720) / 9.0	= (5*371 + 1123 + 0.96*720) / 9.96

= 3224.1 / 9.0				= 3669.2 / 9.96

= 358.24				= 368.39 (optimal cycle)
Multi + Aimed cycle (10 sec default)
A					B

1.74 Auto Shot fires			1.74 Auto Shot fires

3.48 Auto Shot fires			3.48 Auto Shot fires

5.22 Auto Shot fires			5.22 Auto Shot fires

6.00 Multi-Shot fires			6.00 Multi-Shot fires

6.96 Auto Shot fires			6.96 Auto Shot fires

7.0 Start Aimed Shot			8.70 Auto Shot fires

10.0 Aimed Shot fires			8.70 Start Aimed Shot

10.0 Auto Shot fires			11.70 Aimed Shot fires

					11.70 Auto Shot fires

CycleDPS A				CycleDPS B

= (5*371 + 1123 + 720) / 10		= (6*371 + 1150 + 720) / 11.70

= 3698 / 10.0				= 4069 / 11.70

= 369.80 (optimal cycle)		= 347.78

Edit: Updated with conflicting timers taken into consideration.

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Heh, just came from reading the thread about that rogue spreadsheet...and gawd damn, when you compare hunter mechanics to rogue mechanics it sometimes feels like going from arithmatic to linear algebra. =P So much more going on there.

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Heh, just came from reading the thread about that rogue spreadsheet...and gawd damn, when you compare hunter mechanics to rogue mechanics it sometimes feels like going from arithmatic to linear algebra. =P So much more going on there.

So, I shouldn't point out that to properly derive the crit/AP/hit/skill equivalence I should have derived an equation for raw DPS as a function of our melee variables, then taken the respective partial derivatives w/r/t crit, AP, hit, and skill, and setting them equal given the formulas for checking your equivalence? ;)

Hunter mechanics seem fairly clean, but how does Rapid Fire, for example, affect all this? How do you modify it when you get a Quick Shots proc? Etc.

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Hunter mechanics seem fairly clean, but how does Rapid Fire, for example, affect all this? How do you modify it when you get a Quick Shots proc? Etc.

Same mechanics, just using different times.

For example, an Aimed (default 9) cycle is composed by the 3 sec casting time, and the 6 sec cooldown. Auto Shot during cooldown (+ possible additional time to get the last one in). With Rapid Fire, your weapon speed is divided by 1.40, as is the casting time of Aimed Shot. So, still the same time for Auto Shot (although you'll most likely get in more Auto Shots now). The thing to remember is the fact that the default cycle time is changed from 9 to 8.14, when you come to the stage where you convert Multi-Shot to cycleDPS.

Same with Quick Shots, just replace 1.4 with 1.3 ;)

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*math stuff*

*smiles and nods*

Rapid Fire and Quick Shots don't change anything, really. Since they modify both the autoshot delay and the aimed shot delay, you can stick with the 10 second rotation and be fine.

Honestly sometimes I think it's a little *too* clean. Stand as far away as possible, feign every 30 seconds, multi/aimed every 10 until mob is dead. You win!

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1493 RAP

5/5 Ranged Weapon Specialization

3/3 Barrage

3/3 in Slaying talent vs target

+7 scope

Crits aren't included in this. As far as I can tell, with this setup, unbuffed (25% ranged crit), you'll have an average DPS of 549 before armor mitigation.

Edit: With Ashjre'thul, that is.

Oh, and this is using Jagged Arrows btw. I knew there was something I forgot :P

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So, I shouldn't point out that to properly derive the crit/AP/hit/skill equivalence I should have derived an equation for raw DPS as a function of our melee variables, then taken the respective partial derivatives w/r/t crit, AP, hit, and skill, and setting them equal given the formulas for checking your equivalence? ;)

Well, to be fair, isn't this exactly what you did? You just did it numerically. But you're still basically trying to find the gradient of the DPS surface in a phase space of all stats.

The sad part is that doing the above would be trivial for Mage DPS--everything is linear.

This is great stuff, by the way.

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A question:

If you're using a cycle of length not equal to 10 seconds, won't Multi-shot "precess" around the cycle, eventually landing in the middle of an Aimed Shot? You can't realistically claim to fire Multi every 10 seconds when you occasionally have to wait out an Aimed cast time. With a cycle of length just over 10, it would seem your Multi-shot cooldown will effectively be equal to the cycle length.

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Note that using a Aimed cycle, your Aimed Shot will catch up to your Multi-Shot. Personally, I'd use Multi-First first if both are available at the same time. The reasoning being that using Aimed Shot would delay Multi-Shot 3 seconds, using Multi-Shot would delay Aimed Shot less.

Even with a cycle close to 10 seconds (which most of the optimal ones are), you'll have both Multi-Shot and Aimed Shot cooled down at the same time about once every 9 cycles or so. The only way to circumvent this is by using the 10 sec rotation (version A), always using Aimed Shot after a fixed time compared to Multi-Shot.

For me (using Multi-Shot first if both viable), I'd extend 1 cycle about 1 second once every 9 cycles.

Keep in mind though, seeing as Aimed Shot has a 3 second cast, it seems more likely that Multi-Shot would cool down (for example) 1 second before Aimed Shot fires. Basically, considering cooldown are very tricky, especially if you take Quick Shots / Rapid Fire etc into consideration.

Also, 9 cycles is over 1 minute, possibly close to 1 and a half. Stuff will happen, and I just felt it kinda... impossible to make any formulae for taking it into consideration, and I didn't feel it was all that important either.

Guess that's where most of my inaccuracy lies...

Sorry if my English is messy now, haven't slept for quite a while, and working with some boring stuff :P

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Well, for a cycle length greater than 10 seconds, it seems like a decent approximation is to assume that your effective Multi-shot cooldown is equal to the cycle length. With a length of, say, 11s, you can't get more than one MS off per cycle anyway, so the coefficient in front of the Multi-shot term should be 1.0, not 1.1.

For cycles shorter than 10s, it's more complicated, but the effect is much smaller. All that will happen is that you occasionally have to wait 3s for your Multishot.

Actually, it's not all that bad. Look your 9s ideal Ashjre'Thul cycle, for example. Multi-shot precesses 1s forward every cycle. If on cycle #1 you use it immediately after Aimed shot #1, then on cycle #7 it will interfere with Aimed Shot #8. Overall, you get to cast 6 Multi-Shots every 7 cycles, rather than 9 every 10 cycles. So the coefficient in front of the Multi-shot term should be 0.857, not 0.9.

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Sorry, I really can't grasp anything right now :P

Let me get back to you after some heavy sleeping.

I really appreciate the feedback though, my brain's just stopped at the moment =)

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Arawethion, if you wouldn't mind... do you think you could post 3 cycles for a ranged weapon faster than 10 seconds, and 3 cycles for a ranged weapon slower than 10 seconds, to show what you mean? I guess you should be able to use some of the examples I gave, since you have both greater than and lesser than 10 sec cycles there. Timestamps would be awesome =)

Cycle 1, cycle 2... Cycle where Aimed + Multi collide

On both of the above.

I would like to include this if possible, if I can find a good way of doing it, since I want it included in some stuff I've made...

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Well, to be fair, isn't this exactly what you did? You just did it numerically. But you're still basically trying to find the gradient of the DPS surface in a phase space of all stats.

The sad part is that doing the above would be trivial for Mage DPS--everything is linear.

This is great stuff, by the way.

...

Will you marry me?

Yes, I did it numerically, and that just irks. I prefer analytical solutions where they're available, especially when my only excuse for not deriving one is pure laziness.

Back to hunters: Rapid Fire modifies aimed shot cast time?

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Same with Quick Shots and Berserking.

Well, I assumed that if one did, all did. :)

I did, however, think it was a fixed 3 second cast for Aimed, and that this wasn't modifiable.

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Nope. Aimed Shot's a bit odd...physical damage, no cast-bar, modified by "haste" abilities (though not by quiver speed I think?) but loses cast time when you get hit just like a spell.

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Arawethion, if you wouldn't mind... do you think you could post 3 cycles for a ranged weapon faster than 10 seconds, and 3 cycles for a ranged weapon slower than 10 seconds, to show what you mean? I guess you should be able to use some of the examples I gave, since you have both greater than and lesser than 10 sec cycles there. Timestamps would be awesome =)

Cycle 1, cycle 2... Cycle where Aimed + Multi collide

On both of the above.

I would like to include this if possible, if I can find a good way of doing it, since I want it included in some stuff I've made...

Okay, but just realize that the corrections are only a few percent, and probably dwarfed by other errors in practice. For the sake of good theory, however:

For an 11s cycle (say, an 8/3=2.66s Auto)

0.0 Aimed Shot fires

0.0 Multi Shot fires

0.0 Auto Shot fires

2.7 Auto Shot fires

5.3 Auto Shot fires

8.0 Auto Shot fires

8.0 Start Aimed Shot

11.0 Aimed Shot fires

11.0 Auto Shot fires

11.0 Multi Shot fires (it cooled down during Aimed Shot.)

13.7 Auto Shot fires

16.3 Auto Shot fires

19.0 Auto Shot fires

19.0 Start Aimed Shot

22.0 Aimed Shot fires

22.0 Auto Shot fires

22.0 Multi Shot fires

et cetera. If you start by firing Multi right before an Aimed (rather than after, as I've shown above), you'll get off a Multi every 10s for a little while, but eventually, you'll run into your Aimed Shot. You won't be able to sustain a long-term average of more than 1 Multi every 11 seconds.

----------

A 9s cycle (2.0s Auto Shot)

0 Aimed Shot fires

0 Multi Shot fires

0 Auto Shot fires

2 Auto Shot fires

4 Auto Shot fires

6 Auto Shot fires

6 Start Aimed Shot

9 Aimed Shot fires

9 Auto Shot fires

10 Multi Shot fires

11 Auto Shot fires

13 Auto Shot fires

15 Auto Shot fires

15 Start Aimed Shot

18 Aimed Shot fires

18 Auto Shot fires

20 Auto Shot fires

20 Multi Shot fires

22 Auto Shot fires

24 Auto Shot fires

24 Start Aimed Shot

27 Aimed Shot fires

27 Auto Shot fires

29 Auto Shot fires

30 Multi Shot fires

31 Auto Shot fires

33 Auto Shot fires

33 Start Aimed Shot

36 Aimed Shot fires

36 Auto Shot fires

38 Auto Shot fires

40 Multi Shot fires

40 Auto Shot fires

42 Auto Shot fires

42 Start Aimed Shot

45 Aimed Shot fires

45 Auto Shot fires

47 Auto Shot fires

49 Auto Shot fires

50 Multi Shot fires

51 Auto Shot fires

51 Start Aimed Shot

54 Aimed Shot fires

54 Auto Shot fires

56 Auto Shot fires

58 Auto Shot fires

60 Multi Shot cools down, but you cannot fire it because your Aimed shot is ready.

60 Auto Shot fires

60 Start Aimed Shot

63 Aimed Shot fires

63 Auto Shot fires

63 Multi Shot fires, and we're back to where we stated.

You get off 6 Multishots in 63 seconds (7 cycles).

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One thing I'd be curious about is on fights where you are taking AoE damage, or any kind of spell interruption (a la Vaelastrasz), does switching to arcane shot increase dps?

I guess what I'm really asking is how long of a cast time does aimed shot have to be before arcane shot overtakes it?

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casting aimed shot on ouro when a bunch of bugs are chomping on you can be really annoying, because you're hoping someone fears them off, and then no one does, and you realize about 2 seconds into the cast that it's just not going to happen and you have to move and fire off an arcane shot :-P

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