Some DMG math, thoughts (and corrections)?

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Aeri.5738

Aeri.5738

So today I was checking some numbers of my Ranger because I wanted to know how I can achieve the highest possible damage while still having the greatest possible defensive stats.

This is the build my calculations are based on:
http://de.gw2skills.net/editor/?fMAQNBMhVakoqyOySwi1WQsKsnODNxJWhD9F4UgK/fxKlIB-TsAA1CnIoSRljKDVSqsUNoY9x8DA

This is a power based build.

My question basicly was, what is better:
1) Soldiers Amulet + Berserkers Jewel
or
2) Knights Amulet + Jewel

1)The first setup offers higher base damage + higher critdamage and a lot more Toughness

Weapondamage: 3025
Crit Chance: 20%
Crit Damage: 23%

2) The second setup offers higher crit chance and more health, while at the same time lower toughness and lower attack damage

Weapondamage: 2762
Crit Chance: 47%
Crit Damage: 18%

By just looking at these numbers, I thought that option 1) will offer the highest average damage while 2) would give me the highest spikes. I was wrong.

First, I need to calculate the actual Damage a critical hit deals:
Weapondamage x (Crit Damage + 150%) = Damage on crit

1) = 5233.25
2) = 4640.16

Second, I wanted to know the average damage I can deal:
Weapondamage + Damage on crit x Crit Chance = Average Damage

1) = 4071.65
2) = 4942.8752

So basicly, the average damage of the Knights is a lot higher, while the Soldiers + Berserkers gives pretty nice damage spikes.

The Defensive stats differ as follows:

1)
Health: 23222
Armor: 2799

2)
Health: 26312
Armor: 2230

Based on these stats, what Amulet would you pick for sPvP?

“We just don’t want players to grind in GW2.” – Well, I guess you really failed, ANet!
Update 5.9.2013: getting better ANet, still way to go!
A Lannister always pays his debts – For everyone else, there’s Mastercard.

(edited by Aeri.5738)

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Kray.4902

Kray.4902

Let me Know What Weapons You’re Using And rotations And I’ll Plug It In To my spreadsheet.

I do maths for fun.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Aeri.5738

Aeri.5738

Sword/Warhorn+ Shortbow

What kind of spreadsheet do you have? I am very interrested in that :-P

“We just don’t want players to grind in GW2.” – Well, I guess you really failed, ANet!
Update 5.9.2013: getting better ANet, still way to go!
A Lannister always pays his debts – For everyone else, there’s Mastercard.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: solrik.6028

solrik.6028

If you have 3k weapon damage and 20% crit chance with 50% crit damage, then 20% of that 3k damage will be twice as much. With these numbers, using the first formula from you

Weapondamage + Weapondamage x (Crit Damage + 150%) results in triple damage, equivalent to 150% crit bonus.
The real Crit damage is
Weapondamage x (Crit Damage + 150%)

I don’t really understand Weapondamage + Damage on crit x Crit Chance

A good way to measure average is to Divide 1 by Crit Chance, in this case 1 / 0.2 and the results (5) will tell us how many hit’s it takes to get a critical.
Because of 5, the average can be measured by 3000 * 4 (regular hits) + 6000 (one critical out of five attack) which is 18000 and divide it by the number of attacks (five) and get _ An average of 3600 damage per hit_

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: solrik.6028

solrik.6028

I’d go for as high toughness as possible and max out WS for Empathic Bond to make each health point have a higher value, which in-directly increases the value of heals.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Aeri.5738

Aeri.5738

whoops, a declaration mistake.
the numbers where correct, just the explanation hat a mistake ^^

edit: wait, now I dont understand it myself anymore ^^
edit edit: now it’s correct I gues

“We just don’t want players to grind in GW2.” – Well, I guess you really failed, ANet!
Update 5.9.2013: getting better ANet, still way to go!
A Lannister always pays his debts – For everyone else, there’s Mastercard.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: solrik.6028

solrik.6028

whoops, a declaration mistake.
the numbers where correct, just the explanation hat a mistake ^^

Weapondamage + Weapondamage x (Crit Chance+ 150%)

That is still not correct, you are adding extra damage multiplied by crit damage + crit chance to an already existing damage. In GW2, the base damage (Skill factor) * (Weapon Str) * (Power) is multiplied by the crit damage factor if the attack is a critical.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: zTales.4392

zTales.4392

I already run Soldier’s Amulet + Berserker’s Jewel with Ranger runes and I like it a lot! I have a 0/20/20/0/30 build, though.

I’ll try out Knight’s. :>

Bri Dragonblight – Ranger | Bri Iceblight – Guardian
Northern Shiverpeaks

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Aeri.5738

Aeri.5738

I was calculating with 0.xx numbers and took .5 as base critdamage, that’s why I wrote it down wrong.

Weapondamage x (Crit Damage + 150%) = Damage on crit

should be correct now

“We just don’t want players to grind in GW2.” – Well, I guess you really failed, ANet!
Update 5.9.2013: getting better ANet, still way to go!
A Lannister always pays his debts – For everyone else, there’s Mastercard.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: solrik.6028

solrik.6028

The Average damage of the first setup is 3466,65
—————————second setup is 3137,632

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Aeri.5738

Aeri.5738

The Average damage of the first setup is 3466,65
—————————second setup is 3137,632

Including the weapons or just the general stats?

I dont unterstand your results :-(

I took the weapondamage out of the ingame charactersheet (3025) and multiplied it with the crit damage factor (150% + 23%) which equals 5233.25.
Then I multiplied this with the critchance (20%) and added it to the general weapondamage to get the average weapondamage (3025 + 5233.25*20% = 4071.65)
There is no skill factor included.

“We just don’t want players to grind in GW2.” – Well, I guess you really failed, ANet!
Update 5.9.2013: getting better ANet, still way to go!
A Lannister always pays his debts – For everyone else, there’s Mastercard.

(edited by Aeri.5738)

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: solrik.6028

solrik.6028

The Average damage of the first setup is 3466,65
—————————second setup is 3137,632

Including the weapons or just the general stats?

Everything is based on the numbers you wrote on the first post

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Kray.4902

Kray.4902

My spreadsheet is something I started working on a few days ago. Nothing overly complex, but it gets the job done and matches up with in-game numbers. I’ll toss in Shortbow support real quick for you.

OK, here’s what I need from you:
Power, Precision, Crit Damage %, Cond Damage, and Weapon Strength on all abilities.

I’ll churn out some numbers from there. I assume level 80.

I do maths for fun.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Aeri.5738

Aeri.5738

Power: 2025
Precision: 1256
Crit Damage: 23%
Crit Chance: 20%
Condition Damage: 250

Weapondamage on Skill 1: 297
Condition Damage on Skill 1: 165

“We just don’t want players to grind in GW2.” – Well, I guess you really failed, ANet!
Update 5.9.2013: getting better ANet, still way to go!
A Lannister always pays his debts – For everyone else, there’s Mastercard.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Kajind.6195

Kajind.6195

as a general rule when you get to 50% Crit Damage, 1% crit = 1% dps increase. I think that is also the window where precision starts to do more for you then power. Below that and power is better.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Kray.4902

Kray.4902

Aeri, specifically I’m looking for the Weapon Strength numbers (ex: 900-1100) on your Shortbow, Axe, and Warhorn.

When damaging, do you get into melee range to hit them with all 5 shots of Poison Volley and Splitblade? If not, on average, how many do you hit with?

I do maths for fun.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Aeri.5738

Aeri.5738

The Average damage of the first setup is 3466,65
—————————second setup is 3137,632

Including the weapons or just the general stats?

Everything is based on the numbers you wrote on the first post

You made a mistake, you multiplied by a crit damage modificator of 73% instead of 173% (first Setup)
Weapondamage * Crit Damage (150% base + 23% extra)

The wiki says weapon damage equals 150% of base damage + crit damage.

Aeri, specifically I’m looking for the Weapon Strength numbers (ex: 900-1100) on your Shortbow, Axe, and Warhorn.

When damaging, do you get into melee range to hit them with all 5 shots of Poison Volley and Splitblade? If not, on average, how many do you hit with?

905-1000 SB and Sword
814-900 Warhorn

The number of shots I hit greatly differs, I’d say 3 in average

“We just don’t want players to grind in GW2.” – Well, I guess you really failed, ANet!
Update 5.9.2013: getting better ANet, still way to go!
A Lannister always pays his debts – For everyone else, there’s Mastercard.

(edited by Aeri.5738)

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: solrik.6028

solrik.6028

You made a mistake, you multiplied by a crit damage modificator of 73% instead of 173% (first Setup)
Weapondamage * Crit Damage (150% base + 23% extra)

The wiki says weapon damage equals 150% of base damage + crit damage.

I didn’t actually.
I don’t understand how Weapondamage + (Crit Chance) percent of Critical Damage gives you average… The average is not calculated like that. Average is a number that tells us what each sample should equal with if we want them all to be the same. The results are dependant on the total of the samples. That is why 1+2+7+8+9 has the same average as 2+3+6+7+9.

A 20% critical chance means, theoretically, that one out of 5 shots will be a critical shot. One needs to add 4 regular shots and 1 critical shot to get the average damage of one shot. Any number of shots that is a multiple of 5 will give the same average.

It’s a bit tricky when having 18% because 1 / 0.18 is 5.555555555555555
In this case, you can
Divide 5.55… by 5 to acquire a multiplier of 1.111… which needs to be multiplied by each shot
Or
Round it up because 5.555… indicates that each 5.555…th shot is a critical, which is impossible and, theoretically, you will never score a critical shot on the fifth, thus we can safely say that each 6th shot is a critical.

BUT, since this is not a theoretical game, it is possible to score criticals multiple times in a row with 18% critical chance.

What I’d suggest is aiming the crit chance to be between (X-1) + 0.80 < chance < X + 0.20

(edited by solrik.6028)

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Kray.4902

Kray.4902

In order to find average damage of an attack including crit chance, follow this formula:

(AvDamage*(1-CritChance))+(AvDamage*CritDam*(CritChance))

Where AvDamage is the Average Damage of the attack, calculated by:

SkillCoefficient*Power*WeaponStrength/TarArmor

Where SkillCoefficient is the skill-specific number (usually between 0.35 and 2), WeaponStrength is the average value of your weapon’s strength numbers (i.e. 900-1100 = avg of 1000), and TarArmor is the armor your target has (2600 for a heavy armored level 80 pve target)

I’m at work now. More detailed info to come about damage numbers when I get home. Should I make a dedicated post? =P

I do maths for fun.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: solrik.6028

solrik.6028

In order to find average damage of an attack including crit chance, follow this formula:

(AvDamage*(1-CritChance))+(AvDamage*CritDam*(CritChance))

Where AvDamage is the Average Damage of the attack, calculated by:

SkillCoefficient*Power*WeaponStrength/TarArmor

Where SkillCoefficient is the skill-specific number (usually between 0.35 and 2), WeaponStrength is the average value of your weapon’s strength numbers (i.e. 900-1100 = avg of 1000), and TarArmor is the armor your target has (2600 for a heavy armored level 80 pve target)

I’m at work now. More detailed info to come about damage numbers when I get home. Should I make a dedicated post? =P

That is correct, can you derive please?

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Durlot.5278

Durlot.5278

I’m at work now. More detailed info to come about damage numbers when I get home. Should I make a dedicated post? =P

Yes please ^.^

Hey Macarena Eh?
SFR [TROL] Leader \(;,,;)/

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Kray.4902

Kray.4902

In order to find average damage of an attack including crit chance, follow this formula:

(AvDamage*(1-CritChance))+(AvDamage*CritDam*(CritChance))

Where AvDamage is the Average Damage of the attack, calculated by:

SkillCoefficient*Power*WeaponStrength/TarArmor

Where SkillCoefficient is the skill-specific number (usually between 0.35 and 2), WeaponStrength is the average value of your weapon’s strength numbers (i.e. 900-1100 = avg of 1000), and TarArmor is the armor your target has (2600 for a heavy armored level 80 pve target)

I’m at work now. More detailed info to come about damage numbers when I get home. Should I make a dedicated post? =P

That is correct, can you derive please?

Derive what exactly?

I do maths for fun.

(edited by Kray.4902)

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: solrik.6028

solrik.6028

In order to find average damage of an attack including crit chance, follow this formula:

(AvDamage*(1-CritChance))+(AvDamage*CritDam*(CritChance))

Where AvDamage is the Average Damage of the attack, calculated by:

SkillCoefficient*Power*WeaponStrength/TarArmor

Where SkillCoefficient is the skill-specific number (usually between 0.35 and 2), WeaponStrength is the average value of your weapon’s strength numbers (i.e. 900-1100 = avg of 1000), and TarArmor is the armor your target has (2600 for a heavy armored level 80 pve target)

I’m at work now. More detailed info to come about damage numbers when I get home. Should I make a dedicated post? =P

That is correct, can you derive please?

Derive what exactly?

The formula works but I am curious about how you found it

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Kray.4902

Kray.4902

The crit formula is simple enough. Just look at it logically.

If you have a 25% chance to crit, that means that 25% of your attacks are crits, and 1-25%=75% attacks are normal. The average damage you’ll do is the sum of those two figures. We know a crit will deal AvDmg*CritDmg, so let’s use 150% crit damage to be easy on ourselves. Let’s say AvDmg = 100.

So, your average damage after factoring in crit is:

(100*(1-.25)) [Average Damage * % of Noncrits] + (100*1.5*.25) [Average Crit * % of Crits] = 112.5

So, for an attack that hits for an average of 100, with 25% crit chance and 150% crit damage, we can expect to do about 112 damage on average every time we use it.

The attack damage formula, on the other hand, I pulled from the gw2wiki and verified in-game.

I do maths for fun.

Some DMG math, thoughts (and corrections)?

in Ranger

Posted by: Kray.4902

Kray.4902

Oy! I’m back, with my spreadsheet significantly upgraded so I can answer some questions.

Caveat: I do not include pet damage or buffs. I do not include traits. I simply do untraited damage per weapon set. Inclusion of pet damage would skew Sword damage higher. The inclusion of buffs would skew anything with the Warhorn higher.

Caveat Part 2: I included only 3 of the 5 shots from Poison Volley hitting. Additionally, oddly enough, Hunter’s Call is a DPS loss to use with a sword in your gear. Reason being, that Hunter’s Call has a coefficient of 1.92 and a cast time of 1.5s. The Sword autoattack chain has a total coefficient of 1.90, and a cast time of 1.5s. Makes sense it would be better, right? WRONG! Because of your lower weapon strength you’ve got on the warhorn, you’re better off never casting it unless you’re at range.

My final question, however, is due to the fact that I’m not at max level in GW2, and online databases suck. Can you tell me the total stats of the amulet+jewel sets you’re comparing against? :P

I do maths for fun.