Celtic Heroes

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Fire Bolt Formula

#1
Well I finally finished reverse engineering the firebolt formula. it is accurate to within 2% worst case.
I used over 120 data points ranging from zero to 1030 ability, 1 to 25 skill, and 10 to 450 focus

Firebolt Damage = 5.5 + Skill Piece * (Focus piece + Ability piece)

Skill Piece = (Skill Slope* (Skill) + Skill Intercept)
Skill Piece = (6* (Skill) + 11)

Focus piece = Focus Slope*(Sqrt(Focus)-Sqrt(10))
Focus piece = .1054*(Sqrt(Focus)-Sqrt(10))

Abiilty piece = Ability Slope*Sqrt(Ability)+Ability Intercept
Abiilty piece = .02793*Sqrt(Ability)+1

It is similar to the auto damage formula I did a while ago.
The error comes in because the skill level to damage formula is actually a saw tooth which I replaced with a single slope average.

I assume other skills use the same formula with different constants.

Take aways. Focus and ability are square root functions so the return on investment gets smaller.
Papi - Arawn - Beta 4
GuildChief- / MageGuild (Chief)
Glanmoric-Mage 120
Duergath-Rogue 100 TheFamily Chief
Whuric-Druid 91
Volar-Warrior 91
Doriz-Ranger 70
"Growing old is for people who have forgotten how to play."

Re: Fire Bolt Formula

#2
Whaaaaa?.... Are you trying to divide by zero? -.-
____________________________________________________
"No matter how big a splash you make in this world whether you're Corey Feldman, Frankie Muniz, Justin Beiber or a talking teddy bear, eventually, nobody gives a unfathomable." -Patrick Stewart

Re: Fire Bolt Formula

#3
Ok. I posted this question in mage forums Papi but it was deleted. According to your formula, Should I use a Void Grim of Frost book (+300 ice magic, +175 Focus) or a Shadow Grim of flame book (+200 fire magic, +150 Focus) to generally hit the most damaging fire bolts over time?

Thx,
Tog
Togarth Lvl 150 Mage World Sulis General of Clan Retribution 3rd Place in Marshall's Crystal Armor Event (ChuckNorris)

Re: Fire Bolt Formula

#4
Ok. I posted this question in mage forums Papi but it was deleted. According to your formula, Should I use a Void Grim of Frost book (+300 ice magic, +175 Focus) or a Shadow Grim of flame book (+200 fire magic, +150 Focus) to generally hit the most damaging fire bolts over time?

Thx,
Tog
Sub in your numbers and figure it out :D
SirBlaze333 - 220+ Warrior
(Returning Player)

Re: Fire Bolt Formula

#5
Whaaaaa?.... Are you trying to divide by zero? -.-
There is no division anywhere!?!
Papi - Arawn - Beta 4
GuildChief- / MageGuild (Chief)
Glanmoric-Mage 120
Duergath-Rogue 100 TheFamily Chief
Whuric-Druid 91
Volar-Warrior 91
Doriz-Ranger 70
"Growing old is for people who have forgotten how to play."

Re: Fire Bolt Formula

#6
Whaaaaa?.... Are you trying to divide by zero? -.-
There is no division anywhere!?!
Papi, you can't divide by zero :ugeek:
SirBlaze333 - 220+ Warrior
(Returning Player)

Re: Fire Bolt Formula

#7
Ok. I posted this question in mage forums Papi but it was deleted. According to your formula, Should I use a Void Grim of Frost book (+300 ice magic, +175 Focus) or a Shadow Grim of flame book (+200 fire magic, +150 Focus) to generally hit the most damaging fire bolts over time?

Thx,
Tog
A quick look guessing at your level and stats get the fire book.
Papi - Arawn - Beta 4
GuildChief- / MageGuild (Chief)
Glanmoric-Mage 120
Duergath-Rogue 100 TheFamily Chief
Whuric-Druid 91
Volar-Warrior 91
Doriz-Ranger 70
"Growing old is for people who have forgotten how to play."

Re: Fire Bolt Formula

#8
Ok. I posted this question in mage forums Papi but it was deleted. According to your formula, Should I use a Void Grim of Frost book (+300 ice magic, +175 Focus) or a Shadow Grim of flame book (+200 fire magic, +150 Focus) to generally hit the most damaging fire bolts over time?

Thx,
Tog
A quick look guessing at your level and stats get the fire book.
No! Your asking the wrong question...Yes you should be using shards :).

Adding this to wiki like a bat out of hell before this post disappears!
Nerfed Mage ~140
Why play a class where skills cost more than other classes for same damage?
Why play a class with no auto attack?
Why play a class with 1/3 the armor?
Why play a caster?

Copy this sig! :)

Wiki: http://www.wisdomunderground.com/wiki

Re: Fire Bolt Formula

#9
Ok I was having trouble figuring out what you are doing papi but it makes sense now. Took me like 3 seconds to figure out so i would assume ppl might have trouble understanding what's going on. Maybe we could make it easier to understand, I'll tweak it a bit on the wiki.
Nerfed Mage ~140
Why play a class where skills cost more than other classes for same damage?
Why play a class with no auto attack?
Why play a class with 1/3 the armor?
Why play a caster?

Copy this sig! :)

Wiki: http://www.wisdomunderground.com/wiki

Re: Fire Bolt Formula

#10
Here isy edited version, mabye it will be easier for some to follow and know what they need to do.

http://www.celtic-heroes.com/forum/view ... 89#p155589
Well I finally finished reverse engineering the firebolt formula. it is accurate to within 2% worst case. I used over 120 data points ranging from zero to 1030 ability, 1 to 25 skill, and 10 to 450 focus

Firebolt Damage = 5.5 + X* (Y + Z)

X = (6* (Skill) + 11)
Y = .1054*(Sqrt(Focus)-Sqrt(10))
Z = .02793*Sqrt(Ability)+1

where X is a skill piece. X can be seen more generally as: Skill Piece = (Skill Slope* (Skill) + Skill Intercept)
where Y is a focus piece. Y can be seen more generally as: Focus piece = Focus Slope*(Sqrt(Focus)-Sqrt(10))
where Z is an ability piece. Z can be seen more generally as: Abiilty piece = Ability Slope*Sqrt(Ability)+Ability Intercept

It is similar to the auto damage formula I did a while ago. The error comes in because the skill level to damage formula is actually a saw tooth which I replaced with a single slope average.
I assume other skills use the same formula with different constants.
Take aways. Focus and ability are square root functions so the return on investment gets smaller.
Nerfed Mage ~140
Why play a class where skills cost more than other classes for same damage?
Why play a class with no auto attack?
Why play a class with 1/3 the armor?
Why play a caster?

Copy this sig! :)

Wiki: http://www.wisdomunderground.com/wiki

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