SWTOR formula list

[Freehugs]

Updated: 8-15-2012

The purpose of this formula list to to assist the SW:ToR community in theorycrafting and making guides. Special thanks to LagunaD, Takira and the theorycrafting community at mmo-mechanics.com - Freehugs


Note: Bonuses from Buffs and Skills are additive to whatever stat they apply. For example a 5% crit buff adds 5% to your total crit, there's no fancy math there. Multiplicative modifiers are summed then applied, e.g. +33% damage and +25% damage to an attack = +58% damage total.

About the tooltip bug for Skill trees
The tooltips of damage and healing abilities in the skill trees do not scale properly with level, but the abilities themselves do. So the formula's for damage and healing abilities below will give you high values than you will see on these tooltips until this bug is fixed.

Ability Damage Min = ( AmountModifierPercent + 1 ) * MainHandMin + ( AmountModifierPercent + 1 ) * OffHandMin * 0.3 + Coefficient * DamageBonus + StandardHealthPercentMin * StandardHealth

Ability Damage Max = ( AmountModifierPercent + 1 ) * MainHandMax + ( AmountModifierPercent + 1 ) * OffHandMax * 0.3 + Coefficient * DamageBonus + StandardHealthPercentMax * StandardHealth
AmountModifierPercent is the weapon damage modifier for min and max values and all ranks of the ability
Coefficient is the force/tech/melee/ranged damage bonus modifier for min and max values and all ranks of the ability
StandardHealthPercent is the base damage modifier, which can vary for the min and max values of the ability
StandardHealth is a damage number from the StandardHealth Lookup Table table near the bottom of this thread
DamageBonus is on your character screen (e.g. Melee Damage Bonus for a melee attack)
You can find all these values on your character screen or at TORHead if you expand the effect details on an ability page. Ability damage is always calculated per tick of a DoT or Flurry attack.

Force and Tech attacks don't use main-hand or off-hand damage.
OffHand is 0 is you have no off-hand to attack with or if the attack doesn't use the off-hand. Off-Hand damage is rolled as a separate attack to the main hand, so one hit will be x*MainHand + y*Bonus + z and the other x*OffHand*0.3. As a result the off-hand hit is much smaller than the main-hand hit.

Attack and Damage Types (thanks Kor)
There are four damage types: Kinetic, Energy, Internal, Elemental. The first two are mitigated by armor, the latter two are not.
There are also four attack types: Melee, Ranged, Force, Tech. Attack type and damage type have no correlation, you can have any combination of the two sets (though not all combination exist in game). The first two are subject to defense (avoidance) and shield (partial mitigation), the latter two are subject to resistance. Resistances (which are just avoidance for Force and Tech attacks) are present as a mechanic, but very very few effects in the game grant them, so they can essentially be ignored.
Thus you can very easily have an attack that bypasses armor yet can be dodged or shielded (an internal melee attack, for example), or an attack that bypasses defense and shield yet is armor mitigated (an energy force attack, for example).

The Two-Roll System
SW:ToR uses a two-roll system to determine attacks. The first roll determines hit or miss (or dodge/parry/resist, which are effectively just different names for miss).
The second roll determines of a successful attack crit, was shielded, or was a normal hit. In the event that crit % + shield % is greater than 100%, crit chance overrides shield chance.


Ability Healing Min = Coefficient * HealingBonus + StandardHealthPercentMin * StandardHealth

Ability Healing Max = Coefficient * HealingBonus + StandardHealthPercentMax * StandardHealth
Coefficient is the force/tech/melee/ranged healing bonus modifier for min and max values and all ranks of the ability
StandardHealthPercent is the base healing modifier, which can vary for the min and max values of the ability
StandardHealth is a healing number from the StandardHealth Lookup Table table near the bottom of this thread
HealingBonus is on your character screen (e.g. Force Healing Bonus for a Sith Sorcerer)
You can find all these values on your character screen or at TORHead if you expand the effect details on an ability page. Ability healing is always calculated per tick of a HoT.


Strength/Willpower/Aim/Cunning Damage Bonus = (Strength or Willpower or Aim or Cunning) * 0.2

Force/Tech Power Damage Bonus = (Force or Tech Power) * 0.23

Power Damage Bonus = Power * 0.23

Willpower/Aim/Cunning Healing Bonus = (Willpower or Aim or Cunning) * 0.14

Force/Tech Power Healing Bonus = (Force or Tech Power) * 0.17

Power Healing Bonus = Power * 0.17


Crit Chance = 5% + 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( PrimaryStat / max(Level,20) ) / 2.5 ) ) + 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( CritRating / max(Level,20) ) / 0.45 ) )
Crit chance can also include a bonus from a secondary stat. Have a look at your damage or healing bonus on the character screen, if it includes a bonus from a secondary stat it will also have a small crit bonus from that stat calculated as + 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( SecondaryStat / max(Level,20) ) / 2.5 ) )

Crit Size = 50% + 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( SurgeRating / max(Level,20) ) / 0.11 ) )


Basic Accuracy = 90% + 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( AccuracyRating / max(Level,20) ) / 0.55 ) )
Accuracy over 100% reduces the Defense of the target. Only your free level 1 attack is Basic.

Basic Off-Hand Accuracy = 57% + 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( AccuracyRating / max(Level,20) ) / 0.55 ) )
Off-hand attacks are rolled separately to main hand attacks

Special/Force/Tech Attack Accuracy = 100% + 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( AccuracyRating / max(Level,20) ) / 0.55 ) )
Accuracy over 100% reduces the Defense of the targe

Special/Force/Tech Off-Hand Accuracy = 67% + 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( AccuracyRating / max(Level,20) ) / 0.55 ) )
Off-hand attacks are rolled separately to main hand attacks


Activation Speed = CastingTime * ( 1 - ( %AlacrityFromSkillsAndBuffs / 100 ) - 0.3 * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( AlacrityRating / max(Level,20) ) / 0.55 ) ) )
Alacrity does not affect instant cast spells or the rate at which DoT's and HoT's tick, but does improve all cast time spells and channeled spells.


Armor Damage Reduction % = ArmorRating / ( ArmorRating + 200 * Level + 800 ) * 100
Caps at 75%, although this is not achievable with current gear and buffs

Defense Chance = Base% + Buff% + 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( DefenseRating / max(Level,20) ) / 0.55 ) )
Base% = 10% for Assassins, Sages, Shadows, and Sorcerers, and 5% for all other ACs
Buff% = The summed total of all Defense% from skills, stances, passive buffs, and abilities.

Shield Chance = Buff% + 50% * ( 1 - ( 1 - ( 0.01 / 0.5 ) )^( ( ShieldRating / max(Level,20) ) / 0.32 ) )
Buff% = The summed total of all Shield % from skills, stances, passive buffs, shield generator and abilities.

Shield Absorption = Buff% + 50% * ( 1 - ( 1 - ( 0.01 / 0.5 ) )^( ( AbsorbtionRating / max(Level,20) ) / 0.18 ) )
Buff% = The summed total of all Absorb % from skills, stances, passive buffs, shield generator and abilities.

PvP Damage Boost = 50% * ( 1 - ( 1 - ( 0.01 / 0.5 ) )^( ( ( Expertise ) / max(Level,20) ) / 0.8 ) )

PvP Damage Reduction = 1 - 1 / ( 1 + PvPDamageBoost )

PvP Healing Boost = 30% * ( 1 - ( 1 - ( 0.01 / 0.3 ) )^( ( Expertise / max(Level,20) ) / 1.5 ) )


Max Health = BaseHealth + Endurance * 10

Heath Regen = ? + Endurance * 0.03


Bonus Companion Health = Presence * 5

Bonus Companion Damage = Presence * 0.2

Bonus Companion Healing = Presence * 0.14

Code:

StandardHealth Lookup Table
Level in this table is the level the ability
is trainable, not the level of the player

level  damage   healing
  1       180     375
  2       210     430
  3       240     505
  4       270     585
  5       305     675
  6       340     770
  7       380     880
  8       420    1000
  9       465    1140
10       500    1290
11       540    1405
12       580    1535
13       620    1665
14       655    1790
15       690    1915
16       720    2060
17       725    2150
18       750    2285
19       780    2435
20       790    2560
21       830    2680
22       870    2795
23       910    2915
24       945    3040
25       960    3105
26       975    3205
27      1005    3300
28      1050    3425
29      1085    3535
30      1130    3670
31      1175    3915
32      1215    4165
33      1220    4355
34      1255    4590
35      1280    4830
36      1305    5055
37      1320    5265
38      1335    5530
39      1350    5715
40      1380    5945
41      1400    6080
42      1430    6225
43      1440    6320
44      1480    6485
45      1490    6565
46      1540    6735
47      1545    6785
48      1560    6920
49      1575    6970
50      1610    7085

A Note on the formula used for Ratings, which was worked out by LagunaD
You'll notice that the formula's for ratings are all basically the same. Their values are not arbitrary but have specific meaning. Lets look at this example:
PvP Damage Boost = 50 * ( 1 - ( 1 - ( 0.01 / 0.5 ) )^( ( Expertise / max(Level,20) ) / 0.8 ) )
This first underlined section is the % cap for this rating and the second underlined section is the % cap divided by 100. In this case the cap is 50%. Remember this is the cap for the rating, not the stat, so you can't get more than 50% PvP Damage Bonus from stacking Expertise but you may be able to get more from a skill or buff (if any exist). Since these formula's give diminishing returns, you will never actually achieve a 50% PvP Damage Boost from Expertise.
The third underlined section is 1/50th of the amount of rating needed to get 1% of the stat at level 50. So in this case 50 * 0.8 = 40 Expertise Rating to get 1% PvP Damage Bonus at level 50.


For calculation purposes, here's the base stats at Level 50

Code:

Class                          Level     Strength        Aim       Endurance      Cunning     Willpower     Presence   BaseHealth
Smuggler/Imperial Agent         50         50            100         225            250           50          225         2500
Trooper/Bounty Hunter           50         50            250         225            100           50          225         2500
Jedi Knight/Sith Warrior        50        250            50          225             50          100          225         2500
Jedi Consular/Sith Inquisitor   50        100            50          225             50          250          225         2500

To calculate the stats at lower levels you can use these formula's, and round the results DOWN to the nearest whole number:
Primary Stat = 50 + Level * 4 i.e. Cunning for the Smuggler
Secondary Stat = 20 + Level * 1.6 i.e. Willpower for the Sith Warrior
Tertiary Stat = 10 + Level * 0.8 i.e. Strength for the Trooper
Endurance = 45 + Level * 3.6

[Piree]

So you are saying that +1 Willpower has the same effect on level 1 and 50
And for what level did you calculator the 892 for Crit rating?

[Kaedis]

Quote:Strength/Willpower/Aim/Cunning Damage Bonus = (Strength or Willpower or Aim or Cunning) 8 0.2

Typo 8 = *

[Freehugs]

Thanks Kore.

(10-31-2011 09:47 PM)Piree Wrote:  So you are saying that +1 Willpower has the same effect on level 1 and 50
And for what level did you calculator the 892 for Crit rating?

Neither of these formula's appear to scale with level.

[Piree]

(11-01-2011 09:28 AM)Freehugs Wrote:  Thanks Kore.

(10-31-2011 09:47 PM)Piree Wrote:  So you are saying that +1 Willpower has the same effect on level 1 and 50
And for what level did you calculator the 892 for Crit rating?

Neither of these formula's appear to scale with level.

If I remember correctly you got the 892 from testing with level 15 and 16 right? But did you test 10-20-30-40-50 difference? Because I don't see how the crit rating would not scale with level. This will give u +0% crit at low level because u don't got much crit rating.

[Freehugs]

(11-01-2011 11:01 AM)Piree Wrote:  If I remember correctly you got the 892 from testing with level 15 and 16 right? But did you test 10-20-30-40-50 difference? Because I don't see how the crit rating would not scale with level. This will give u +0% crit at low level because u don't got much crit rating.

Also levels 11 and 14. There is a base 5% crit (just added that to the formula), but low level characters tend to have little to no crit above that.

[Freehugs]

Did some small updates for a vid of the latest build. Updated Force power bonus damage, added force power bonus healing formula, and added Activation Speed as a stat that needs to be worked out.

[Freehugs]

Latest update:
I've figured out the crit chance bonus from your primary stat. I've tested it on 11 data points between levels 5 and 17 and it's 100% accurate on all of them. I'd like to get more data points up to level 50 to make sure it's correct, but you can be certain that if the formula is wrong, it's only wrong by a very small margin.
Edit: also added in some accuracy and surge rating numbers but I don't have enough data points to confirm their accuracy.

[Kaladris]

After searching a little in the new databases, i found some other stats (probably high level) that will also need to be converted.

For example:
http://db.darthhater.com/recipes/2149/ad...ement_22b/
+Glance chance

http://db.darthhater.com/recipes/2552/rocksteady/
+Glance absorb ( these two seem to be each other's opposide)

http://db.darthhater.com/recipes/2787/ri...kyraiders/
Attack power (which i am really curious about)

I hope we will get a good chance to determine these next weekend.

So long,
Kala

[Alratan]

Glance chance and absorb are shield chance and absorb - it's how they were called in the old item database dumps, as well. Attack power is most likely the attack version of Force/Tech Power.