Combat damage - Revision history

ScienceBall: This page was a duplicate. Replace with a redirect to the more up-to-date version.

2023-06-28T22:09:17Z

This page was a duplicate. Replace with a redirect to the more up-to-date version.

Recaiden at 16:39, 11 December 2020

2020-12-11T16:39:24Z

Recaiden at 16:32, 11 December 2020

2020-12-11T16:32:35Z

Greycat at 20:23, 3 June 2013

2013-06-03T20:23:05Z

Greycat: Created page with "Damage is calculated in several steps. It is not ''essential'' to understand how these numbers arise, but it is beneficial for players who want to make the most informed deci..."

2013-06-03T20:15:23Z

Created page with "Damage is calculated in several steps. It is not ''essential'' to understand how these numbers arise, but it is beneficial for players who want to make the most informed deci..."

New page

Damage is calculated in several steps. It is not ''essential'' to understand how these numbers arise, but it is beneficial for players who want to make the most informed decisions.

''Updated for 1.0.0RC3.''

== Basic damage calculation ==

'''Step 1: Stats'''
Surprisingly (for people who have played other RPGs), your [[stats]] are actually the most important factor in determining your combat damage, because all the other factors go through a reducing formula first. Which stats are used depends on the weapon, and in some cases, on your [[talents]].

For example, a longsword says ''100% Str'' which means it uses your [[Strength]] and nothing else. A dagger says ''45% Str, 45% Dex'' which means it uses your [[Strength]] (times 0.45) plus your [[Dexterity]] (times 0.45). However, if you have the [[Lethality (talent)|Lethality]] talent, this overrides the ''45% Str'' part and forces the calculation to use your [[Cunning]] (times 0.45) instead. So a [[Bulwark]]'s damage with a longsword is somewhat proportional to Str*1.0; for a [[Rogue]] with a dagger, it would be Cun*0.45+Dex*0.45.

[[Mindslayer]]s have some additional modifications during this step, for telekinetically wielded weapons: the stats used for such weapons are swapped around, and multiplied by the telekinetic grasp talent level, and then multiplied by 0.6. We won't be showing examples of this because it's already confusing enough just using the standard stuff.

The result of this step is stored in a variable called <tt>totstat</tt> (for "total stats").

As an example, let's take a Rogue with 41 Dexterity and 35 Cunning, who has the Lethality talent. His <tt>totstat</tt> (using a dagger) is 41*0.45 + 35*0.45, or 34.2. His Strength doesn't matter, because Lethality overrides it.

'''Step 2: Base weapon damage'''

The second most important factor in determining your damage is your weapon's base damage. This is usually displayed as a range of numbers; we want the lower one.

ToME 4 is all about diminishing returns (except when it isn't), and so we convert the weapon's power into a multiplying factor. We use this formula:

power = (sqrt(base_dmg / 10) - 1) * 0.5 + 1

If weapon's base damage is 28, then power comes out to approximately 1.337.

'''Step 3: Talent modifier'''
Each type of weapon has a [[Technique (category type)|talent]] that boosts its damage output. For most weapons, this is [[Weapons mastery (talent)|Weapons Mastery]]. For daggers, it is [[Dagger mastery (talent)|Dagger Mastery]] (called "Knife Mastery" in some versions). Bows and slings use [[Bow mastery (talent)|Bow Mastery]] and [[Sling mastery (talent)|Sling Mastery]] respectively. For [[Stone Warden]]s using shields as weapons, the relevant talent is [[Stoneshield (talent)|Stoneshield]]. For [[mindstars]], it is [[Psiblades (talent)|Psiblades]].

We use this formula:

talented_mod = sqrt(eff_talent_level / 5) / 2 + 1

With a raw Knife Mastery talent level of 5, and a mastery of 1.30 in Combat training, this gives an effective talent level of 6.5. Therefore the <tt>talented_mod</tt> variable is about 1.570.

This can also be found in the relevant talent's description: ''increases weapon damage by 57% when using daggers''.

'''Step 4: Physical power'''

Physical power is a [[rescale-combat-stats|rescaled combat stat]]. We won't go into the factors that affect it here; get it from your character's tooltip.

For our example, we'll assume our Rogue has a physical power of 27.

'''Step 5: Total damage before rescaling'''

Now we combine all our numbers together, using this formula:

dam = 0.3 * (phys_power + totstat) * power * talented_mod

The <tt>dam</tt> variable does not actually exist in the code. It is only used here for clarity.

Continuing our example, our Rogue has a pre-rescaling damage of 0.3 * (27 + 34.2) * 1.337 * 1.570, or about 38.539.

'''Step 6: Rescale damage'''
This is the final step in determining the base damage shown on the character sheet. The damage figure calculated in the previous step is run through this formula:

damage = dam ^ 1.04

So, the final output in our Rogue example is 38.539 ^ 1.04, or 44.60.

This will be shown as 44 on the character sheet.

== Applying the damage ==

'''Step 1: Weapon damage'''
The base damage of a weapon attack is shown in the attack tab of your character sheet, using the calculations shown above.

Here we are going to use the example of [[Cornac]] [[Bulwark]] smacking a Shalore Mindslayer with a sword. We'll assume the basic damage calculated in the previous section comes out to 50.

Accuracy (main Hand) 45
Damage (main Hand) 50
APR (main Hand) 8
Crit (main Hand) 8%
Speed (main Hand) 100.00%

Result so far: 50

'''Step 2: Armour and Armour Hardiness'''
Armour reduces damage at this point, making it very effective. Armour is capped by armour hardiness, and reduced by armour piercing (APR). Enemy armour and armour hardiness are shown in their tooltip.

Hardiness/Armour: 30% / 12

Armour Hardiness specifies the maximum amount that can be reduced by armour. Squishy's hardiness is 30%, which means that it can reduce a maximum of 15 base damage (30% of 50). Squishy's armour is 12, which is modified by APR before subtracting from base damage. The attacker's APR is 8, leading to an effective armour of 4. 4 is less than the maximum allowable by Hardiness (15), so it is used. This is subtracted from Smasher's base damage, which reduces it to 46.

Result so far: 46

'''Step 3: Damage Range'''
Damage range can only be found by dividing the second number in the power of your weapon by the first number. This is then used to increase the damage to between the base damage and the base damage multiplied by the range, randomly. Smasher is using a Dwarven-Steel Longsword, that shows up like:

Base Power: 20 - 28

By dividing (28/20), you can get the damage range of 1.4. A random number is then chosen between 46 (the damage after armour) and 64.4 (46 * 1.4). In this example, it is 57 (whole numbers only).

Result so far: 57

'''Step 4: Talents'''
Smasher attacked with Dirty Fighting (lvl 2) for 52% damage, which is a fairly straightforward multiplication. 57 * 52% = 29.64

Result so far: 29.64

'''Step 5: Critical Hits'''
Critical hits are a chance to do extra damage. The chance is found in the attack tab, near the damage and APR found previously, and is 8% in this example. The amount of damage that a critical hit does is multiplied by the "Critical mult.", found under the Damage Mods column. The default is 150%, and it can be raised by various means. Smasher got lucky, and got a critical hit. 29.64 * 150% = 44.46

Result so far: 44.46

'''Step 6: Offhand Multiplier'''
Offhand daggers only do 50% damage, unless the attacker has the Dual Weapon Training talent. Offhand shields being used by [[Stone Warden]]s also do 50% damage. Offhand mindstars do full damage.

Since this is not an offhand weapon, there is no adjustment in this step.

Result so far: 44.46

'''Step 7: Resistances, shields, +damage%, etc...'''
This is in common with talent damage, and will be found in a forthcoming page.

@@ Line 1: / Line 1: @@
-Damage is calculated in several steps.  It is not ''essential'' to understand how these numbers arise, but it is beneficial for players who want to make the most informed decisions.
+#REDIRECT [[Combat Damage]]
-−
-''Updated for 1.0.0RC3.''
-−
-== Basic damage calculation ==
-−
-'''Step 1: Stats'''
-Surprisingly (for people who have played other RPGs), your [[stats]] are actually the most important factor in determining your combat damage.  Which stats are used depends on the weapon, and in some cases, on your [[talents]].
-−
-For example, a longsword says ''100% Str'' which means it uses your [[Strength]] and nothing else.  A dagger says ''50% Str, 50% Dex'' which means it uses your [[Strength]] (times 0.50) plus your [[Dexterity]] (times 0.50).  However, if you have the [[Lethality (talent)|Lethality]] talent, this overrides the ''50% Str'' part and forces the calculation to use your [[Cunning]] (times 0.50) instead.  So a [[Bulwark]]'s damage with a longsword is somewhat proportional to Str*1.0; for a [[Rogue]] with a dagger, it would be Cun*0.50+Dex*0.50.
-−
-[[Mindslayer]]s have some additional modifications during this step, for telekinetically wielded weapons: the stats used for such weapons are swapped around, and multiplied by the telekinetic grasp talent level, and then multiplied by 0.6.  We won't be showing examples of this because it's already confusing enough just using the standard stuff.
-−
-The result of this step is stored in a variable called <tt>totstat</tt> (for "total stats").
-−
-As an example, let's take a Rogue with 41 Dexterity and 35 Cunning, who has the Lethality talent.  His <tt>totstat</tt> (using a dagger) is 41*0.50 + 35*0.50, or 38.  His Strength doesn't matter, because Lethality overrides it.
-−
-'''Step 2: Base weapon damage'''
-−
-The second most important factor in determining your damage is your weapon's base damage.
-−
-This is usually displayed as a range of numbers; we want the lower one.
-ToME 4 is all about diminishing returns (except when it isn't), and so we convert the weapon's power into a multiplying factor.  We use this formula:
-−
- power = (sqrt(base_dmg / 10) - 1) * 0.5 + 1
-−
-If weapon's base damage is 28, then power comes out to approximately 1.337.
-If you have Advanced Weapon Statistics turned on, this is displayed as a percentage, 137%.
-−
-'''Step 3: Talent modifier'''
-Each type of weapon has a [[Technique (category type)|talent]] that boosts its damage output.  For most weapons, this is [[Weapons mastery (talent)|Weapons Mastery]].  For daggers, it is [[Dagger mastery (talent)|Dagger Mastery]] (called "Knife Mastery" in some versions).  Bows and slings use [[Bow mastery (talent)|Bow Mastery]] and [[Sling mastery (talent)|Sling Mastery]] respectively.  For [[Stone Warden]]s using shields as weapons, the relevant talent is [[Stoneshield (talent)|Stoneshield]].  For [[mindstars]], it is [[Psiblades (talent)|Psiblades]].
-−
-We use this formula:
-−
- talented_mod = sqrt(eff_talent_level / 5) / 2 + 1
-−
-With a raw Knife Mastery talent level of 5, and a mastery of 1.30 in Combat training, this gives an effective talent level of 6.5.  Therefore the <tt>talented_mod</tt> variable is about 1.570.
-−
-This can also be found in the relevant talent's description: ''increases weapon damage by 57% when using daggers''.
-−
-'''Step 4: Physical power'''
-−
-Physical power is a [[rescaled combat stats|rescaled combat stat]].  We won't go into the factors that affect it here; get it from your character's tooltip.
-−
-For our example, we'll assume our Rogue has a physical power of 27.
-−
-'''Step 5: Total damage before rescaling'''
-−
-Now we combine all our numbers together, using this formula:
-−
- dam = 0.3 * (phys_power + totstat) * power * talented_mod
-−
-The <tt>dam</tt> variable does not actually exist in the code.  It is only used here for clarity.
-−
-Continuing our example, our Rogue has a pre-rescaling damage of 0.3 * (27 + 38) * 1.337 * 1.570, or about 40.932.
-−
-'''Step 6: Rescale damage'''
-This is the final step in determining the base damage shown on the character sheet.  The damage figure calculated in the previous step is run through this formula:
-−
- damage = dam ^ 1.04
-−
-So, the final output in our Rogue example is 40.932 ^ 1.04, or 47.48.
-−
-This will be shown as 44 on the character sheet.
-−
-== Applying the damage ==
-−
-'''Step 1: Weapon damage'''
-The base damage of a weapon attack is shown in the attack tab of your character sheet, using the calculations shown above.
-−
-Here we are going to use the example of [[Cornac]] [[Bulwark]] smacking a Shalore Mindslayer with a sword.  We'll assume the basic damage calculated in the previous section comes out to 50.
-−
- Accuracy (main Hand)  45
- Damage (main Hand)    50
- APR (main Hand)        8
- Crit (main Hand)       8%
- Speed (main Hand)    100.00%
-−
-Result so far: 50
-−
-'''Step 2: Armour and Armour Hardiness'''
-Armour reduces damage at this point, making it very effective.  Armour is capped by armour hardiness, and reduced by armour piercing (APR).  Enemy armour and armour hardiness are shown in their tooltip.
-−
-Hardiness/Armour: 30% / 12
-−
-Armour Hardiness specifies the maximum amount that can be reduced by armour.  Squishy's hardiness is 30%, which means that it can reduce a maximum of 15 base damage (30% of 50).  Squishy's armour is 12, which is modified by APR before subtracting from base damage.  The attacker's APR is 8, leading to an effective armour of 4. 4 is less than the maximum allowable by Hardiness (15), so it is used.  This is subtracted from Smasher's base damage, which reduces it to 46.
-−
-Result so far: 46
-−
-'''Step 3: Damage Range'''
-Damage range can only be found by dividing the second number in the power of your weapon by the first number.  This is then used to increase the damage to between the base damage and the base damage multiplied by the range, randomly.  Smasher is using a Dwarven-Steel Longsword, that shows up like:
-−
-Base Power: 20 - 28
-−
-By dividing (28/20), you can get the damage range of 1.4.  A random number is then chosen between 46 (the damage after armour) and 64.4 (46 * 1.4).  In this example, it is 57 (whole numbers only).
-−
-Result so far: 57
-−
-'''Step 4: Talents'''
-Smasher attacked with Dirty Fighting (lvl 2) for 52% damage, which is a fairly straightforward multiplication.  57 * 52% = 29.64
-−
-Result so far: 29.64
-−
-'''Step 5: Critical Hits'''
-Critical hits are a chance to do extra damage.  The chance is found in the attack tab, near the damage and APR found previously, and is 8% in this example.  The amount of damage that a critical hit does is multiplied by the "Critical mult.", found under the Damage Mods column.  The default is 150%, and it can be raised by various means.  Smasher got lucky, and got a critical hit.  29.64 * 150% = 44.46
-−
-Result so far: 44.46
-−
-'''Step 6: Offhand Multiplier'''
-Offhand daggers only do 50% damage, unless the attacker has the Dual Weapon Training talent.  Offhand shields being used by [[Stone Warden]]s also do 50% damage.  Offhand mindstars do full damage.
-−
-Since this is not an offhand weapon, there is no adjustment in this step.
-−
-Result so far: 44.46
-−
-'''Step 7: Resistances, shields, +damage%, etc...'''
-This is in common with talent damage, and will be found in a forthcoming page.