Saturday, September 5, 2009 Equations

A lot of these equations pertain to Warcraft III in general. Where applicable they were simplified from the general Warcraft III form to DotA specific equations. Numbers are meant to be exact as how Warcraft III interprets them; when you see .14 it is not and approximation of 1/7.

Base stats

Variable	Title	Equation	Meaning
Str	Strength Total	Base Strength w/level + any items bonuses
Agi	Agility Total	Base Agility w/level + any item bonuses
Int	Intelligence Total	Base Intelligence w/level + any item bonuses
Pri	Primary Total	The number total for the primary stat for the hero =(Str, Agi, Int) depending on hero
ArmorB	Armor base	What a hero has w/o any stats or items**
ACoolB	Attack Cool down	The number of seconds a hero has to wait to attack again after attacking w/o any stats or items
Range	Attack Range	The distance a hero can attack
MSpd	Movement speed	How fast a hero moves in DotA. Max w/modifiers is 522.
DMnB	Damage Base Min	The minimum damage without stats nor items
DMxB	Damage Base Max	The maximum damage without stats nor items

Calculated stats*

Variable	Title	Equation	Meaning
HP	Hit points max	150 + (19 * Str)	The maximum a hit points a hero can regenerate to
HPReg	Hit points Regeneration	0.25 + (.03 * Str)	How many hit points a hero regains per second
Mana	Mana Max	13 * Int	The resource used to cast spells & use abilites.
MReg	Mana Regeneration	0.01 + (.04 * Int)	How much mana a hero regains per second
Armor	Armor	ArmorB + (Agi * .14)	Armor w/stats & items
DmgMn	Damage Min	DMnB + Pri	The minimim damage with stats taken into account
DmgMx	Damage Max	DMxB + Pri	The maximum damage with stats taken into account
IAS	Increate in Attack Speed	Agi	The number of seconds a hero has to wait to attack again after attacking. Note when warcraft says "Increase attack speed x%" it means increate this varible by x.
ACool	Attack Cool down	ACoolB + IAS	The number of seconds a hero has to wait to attack again after attacking.
AttSpd	Attack Speed	1 / ACool	How many times a second a hero can attack. Note by the schema laid out here when Warcraft III says "Increase attack speed x%" it means change IAS by x which effects ACool which effects this variable.
DRed	Damage reduction	1-{1/[1+(Armor*ADRM)]}	An amount of damage less taken from non-magical attacks
DPS	Damage Per Second	AttSpd*[(DmgMn+DmgMx)/2]	The amount of damage a hero will do a second before armor and other effects are taken into account

• * Item modifiers & special hero modifiers are left out in the equations for the most past, but should be obvious with a little game play.
• ** ArmorB is usually lower then what will show on a level 1 hero because of the agility modifier