Base Damage * Weapon Upgrade Damage Multiplier + Base Damage * Weapon Upgrade Damage Multiplier * ((Weapon Stat Correction * Stat Correction %)/100) * (Percentage of Scaling/100)
The word "stat" in this case refers to attributes such as Strength, Dexterity etc. These multipliers can be found in the following regulation.bin fields:
- Base Damage: "Damage:" fields inside EquipParamWeapon. These fields all start with "attackBase..."
- Weapon Upgrade Damage Multiplier: "Damage %:" fields inside ReinforceParamWeapon. These fields all end with "...AtkRate."
- Weapon Stat Correction: "Correction" fields inside EquipParamWeapon. These fields all start with "correct..."
- Stat Correction %: "Correction %" fields inside ReinforceParamWeapon. These fields all have a name format of "correct<Attribute>Rate." Scaling letter grades are based on the product of Weapon Stat Correction and Stat Correction %.
- Percentage of Scaling: This multiplier is the reason why soft caps exist. This value is taken from graphs defined inside CalCorrectGraph parameter and is determined by how many points you put in a stat. This spreadsheet can help you more easily determine this value.
On the status screen, the weapon damage before the plus (+) sign is the product of the Weapon Upgrade Damage Multiplier and the Base Damage. The bonus damage in right column is the rest of the formula.
Let's calculate how much damage a player with 20 strength and 30 dexterity would do while one-handing a Standard-infused +25 Dagger. In the EquipParamEntry for Dagger (1000000), we see that the physical damage (attackBasePhysics) is 74, the Strength correction value (correctStrength) is 35 and the Dexterity correction value (correctAgility) is 65. Inside the ReinforceParamWeapon entry for "Standard +25," we see that Damage %: Physical (physicsAtkRate) is 2.45, Correction %: STR (correctStrengthRate) is 1.50 and the Correction %: DEX (correctAgilityRate) is 1.50. On a side note, this is why Dexterity and Strength have B-tier and D-tier ratings respectively, as the modified Strength correction is 35 * 1.5 = 52 (D-tier goes from 25 to 60) and the modified Dexterity correction is 65 * 1.5 = 97 (B-tier goes from 90 to 140).
Moving to CalcCorrectGraph, we see in the Default row that Threshold Point [1] (stageMaxVal1) is 18 while Threshold Point [2] (stageMaxVal2) is 60; these are the ability point values. These points correspond to Threshold Coefficient [1] (stageMaxGrowVal1) and Threshold Coefficient [2] (stageMaxValGrow2), who have values of 25 and 75 respectively. Putting this together, we can conclude that for standard infused weapons, the percentage of scaling linearly increases from 25 at 18 ability points to 75 percentage of scaling at 60 ability points. For 20 Strength and 30 Dexterity, this corresponds to 27.84 and 41.61 percentage of scaling respectively.
The AR formula is calculated for each attribute that an item scales with. Putting this all together, we get the following AR formulas:
- AR from Strength: 74 * 2.45 * ((35 * 1.5)/100) * (27.84/100) = 26.50
- AR from Dexterity: 74 * 2.45 * ((65 * 1.5)/100) * (41.61/100) = 73.55
- Base Damage * Weapon Upgrade Damage Multiplier: 74 * 2.45 = 181.30
Adding these three damages together, the total damage is 26.50 + 73.55+ 181.30 = 281, which, in the status screen, will be displayed as 181 + 100 Translating BG3 Damage rolls into Elden Ring
For this mod, I wanted modded weapon damages to be proportional to their BG3 counterparts. When this mod was first released, I set a ratio of 1 BG3 damage = 20 Elden Ring at +0 upgrade. At +25/+10 upgrade for a standard infused weapon, this ratio becomes 1 BG3 damage = 49 Elden Ring damage. Since version 1.6, I modified ReinforceParamWeapon so that all weapon scaling is the same as a fully upgraded standard weapon, regardless of weapon. In other words, the 1 BG3 Damage to 49 Elden Ring damage ratio is in effect whether the weapon is +0 or +25. Despite this, values inputted into the "attackBase..." fields will still need to use the 1:20 ratio. Baldur's Gate 3 (and Dungeons & Dragons in general) also adds an ability score modifier to its damage rolls. For this mod, I decided that having 60 points in a stat would be equivalent to having a +5 ability modifier. This translates to 5 * 49 = 245 extra damage at 60 ability points.
With all this in mind, let's take a look at how I modified Elden Ring's Dagger. BG3's Dagger has a damage roll of 1d4, which averages out to 2.5 damage. This leads to a attackBasePhysics value of 2.5 * 20 = 50 and a base damage value of 50 * 2.45 = 122 at +25 upgrade. BG3 daggers, because of their Finesse attribute, can scale with both Strength and Dexterity, whichever stat is higher. Unfortunately, such a feature is not possible in Elden Ring. In turn, I made it so all Finesse weapons in my mod scale only with Dexterity.
Now it's time to find the Weapon Stat Correction value (correctAgility). We know that at 60 dexterity and +25 upgrade, we have
- 5 * 49 = 245 bonus damage
- 2.5 * 49 = 122 base damage
- 75 percentage of scaling
- 1.5 Stat Correction % for Dexterity (correctAgilityRate)
From here, we find that the Dex correction value = 245/122/(75/100)/1.5 = 178. Because the Dagger is only scaling with Dexterity, we obviously have to set correctStrength to 0.
For versatile weapons, and by extension two-handed weapons, I based their damages off the two-handed damage rolls and ignored their one-handed damages. With this in mind, let's take a look at how I found the Trident's Strength correction value (correctStrength). The damage roll for a two-handed Trident is 1d8, which averages out to 4.5 damage and translates to 220 ER damage at +25 upgrade. In Elden Ring, two-handing a weapon at 60 Strength increases your Strength to 90. At 90 Strength, the percentage of scaling is 92.85. With 245 bonus damage and 1.5 Stat Correction for Strength (correctStrengthRate), we find that the Strength correction value = 245/220/(92.85/100)/1.5 = 80.
Translating BG3 Buffs and Debuffs into Elden Ring
In Baldur's Gate 3, buffs usually involve modifying attack bonuses and/or AC by a specific number. This modification in turn modifies the chance an attack will hit. This change in hit chance serves as the basis for determining the buff multiplier when they are translated into Elden Ring.
To determine the multipliers, I first defined the neutral scenario as an encounter where a level 12 player with +5 ability points and a +4 proficiency bonus is facing down a monster with 17 AC. In this scenario, the player has a 65% chance of hitting a monster. If the monster is Hastened, their armor class increases to 19, which decreases the hit chance to 55%. In other words, you can say that this is the equivalent of increasing damage negation by 1 - 55/65 = 15.38%. If a player instead attacks with advantage, the player's hit chance increase to 87.75%, which in turn you can say is equivalent to a 35% damage increase in Elden Ring.
