Curse

Zexion · Apr 23, 2006, 02:29 PM // 14:29

Greetings.
I am the leader of the Warrior Nation general/PvE guild.
I have conducted my own little research on the topic of damage formulas. And here is my results, as posted on my clan's homepage.

http://www.warriornation.net/Forum/s...88&postcount=4

The essentials are:

Base Damage
BaseDamage=Random([MinDamage];[MaxDamage])

Real Damage
RealDamage=2*BaseDamage*sqrt(2)*2^(-TargetAL/40)

Critical Hit
CriticalDamage=2*BaseDamage*sqrt(2)*2^((-TargetAL+20)/40)

Final Damage (when using a skill with +x unspecified damage, this is BonusDamage)
FinalDamage=CriticalDamage+BonusDamage OR RealDamage+BonusDamage

Target Armor Level
TargetAL=(-20*(2*ln(RealDamage/BaseDamage)+ln(1/8)))/ln(2)

Amount of armor required to double damage taken
n=2
0.9828206^Tn=2
Tn*log(0.9828206)=log(2)
Tn=log(2)/log(0.9828206)
Tn=-40 Armor Level

Amount of armor required to halve damage taken
n=0.5
0.9828206^Tn=0.5
Tn*log(0.9828206)=log(0.5)
Tn=log(0.5)/log(0.9828206)
Tn=40 Armor Level

% damage change when you raise armor by x
(2^(1/-40))^(x-60)
2^((60-x)/40)
(2^((60-x)/40))*100%= ~% of damage taken

Feel free to use this research to for example find out the AL of every PvE enemy in the game, as long as you remember to credit me (Wnx Zexion, Wnx Zexiana, Zexion Sixtin, Creator Failure) and my guild (Warrior Nation [WN]). I would in fact be honoured if you used this for further research.

EDIT: Figures I was wrong about one fact: -20 AL multiplies by sqrt(2), not 1.4
This totally changes the formulas, and also makes them much more simple.

_Zexion

Antheus · Apr 23, 2006, 04:52 PM // 16:52

Apart from using fitted values, how are these different from guildwiki damage formulas?

Eragon Dragonslayer · Apr 23, 2006, 07:16 PM // 19:16

and this is the reason i failed algebra....

Goats17 · Apr 23, 2006, 07:27 PM // 19:27

As did I.................................

OverlordTyrael · Apr 23, 2006, 09:01 PM // 21:01

lol, this isn't algebra, it's more like a mix between trig and programming.

lightblade · Apr 23, 2006, 09:38 PM // 21:38

Zexion, can you check your critical strike formula, this number 983317115 just doesn't sound right. It's so high, it can punch a hole in the ceiling

Sereng Amaranth · Apr 23, 2006, 09:54 PM // 21:54

Sounds more like Statistical Analysis.

makosi · Apr 23, 2006, 10:16 PM // 22:16

*head explodes*

Zexion · Apr 23, 2006, 11:03 PM // 23:03

Yes, a statistical analysis, with me as the only man on the team. It uses a bit of regression for exponential functions, but I cannot see how trigonometry comes in there. And yes, I actually put this into a program on my TI-89

Of course the 983317115 was a mistake, and meant to be 0,983317115

The deal about this, opposed to the GWG formulas, is it is (IMO, and probably in many others') much easier to use for the common folks.
You don't need to understand this, or why. Just put your numbers into the formula.
Wanna know how much damage a spell doing 40 (BaseDamage) damage (Flare at 12 fire) really will do on a target with 100 (TargetAL) armor? Simple.
Use the formula:
RealDamage=BaseDamage/10*27,44*0,983317115^TargetAL

As long as you have access to Excel, or an average calculator, it is easy as pie.
Same with armor level. Just use the other formula.

This is mainly a project I did for myself, for fun, plus to use in my math paper. Then I chose to share it with my guild, and later you guys.

Another piece of info I used to get this, is that the Caromi Tengu Wilds have 40 AL, the Caromi Tengu Braves 80

_Zexion

Ristaron · Apr 24, 2006, 12:10 AM // 00:10

Quote:

Originally Posted by makosi

*head explodes*

Times two

Ninetail Trickster · Apr 24, 2006, 08:46 PM // 20:46

I'ma sue you. My neuronses are broken now. >_<;
I warn you!
My dad's with ANet!!

Zexion · Apr 24, 2006, 08:51 PM // 20:51

I have made an error. Read my edit. This is starting to be more of a log on HOW I found the formulas, than the formulas themselves, as I realise they are starting to look more and more like the ones at GWWiki. So the breakthrough is not for the GW community, but that of my own. I broke through the barrier of understanding this. Hopefully this topic will help you further understand how damage in GW works.

_Zexion

Replicant · Apr 24, 2006, 11:32 PM // 23:32

But You Didn't Add Pi!!!!!!!!

snikerz · Apr 24, 2006, 11:40 PM // 23:40

2 + 2 is 4
2 + 2 is 4
2 + 2 is 4

sing along people

i'm sorry but thats totally unreadable, can you explain how it works?, ermm perhaps not lol

God Apprentice · Apr 25, 2006, 10:21 AM // 10:21

Quote:

Originally Posted by lightblade

Zexion, can you check your critical strike formula, this number 983317115 just doesn't sound right. It's so high, it can punch a hole in the ceiling

XD (too short)

Falrow · May 12, 2006, 02:44 AM // 02:44

Help?

I'm trying to figure out the armor of spirits.

I hit a level 11 spirit with a wild blow from a pvp character with a hammer and 12 hammer mastery. Got 53 damage. How much armor?

Same situation, lvl 8 spirit, 71 damage. lvl 6 87, lvl 2 130.

I've done 3 seperate ways getting 3 different armor values, and I forgot to include the +20% from customization every time. What do I do to get the right number?

I'm working on spirit armor levels, those were binding rituals, each a different kind. I'll try the test with rituals of the same kind.

Maybe this issue it's self could get it's own thread in community works? If I get the go ahead I'll make it.

-Fal

stone433 · May 12, 2006, 03:11 AM // 03:11

as your hammer does a ramdom amount of damage you will receave random ish results. try using a spell like flare.

Haggard · May 12, 2006, 06:31 AM // 06:31

But hes hitting with wild blow, which = a crit, which = the same amount of dmg

Francis Crawford · May 14, 2006, 05:04 PM // 17:04

When FinalDamage = BaseDamage+BonusDamage, two questions:

1. Is BonusDamage also affected by AL?
2. Are they added together before absorption is applied, or does it affect each separately?

Savio · May 14, 2006, 08:28 PM // 20:28

1. No.
2. Added together before absorption.

Honestly, just this guide or this guide already explains damage pretty well. As there really isn't a breakthrough at all, I'm going to close this thread until there is one.