Combat Damage - Revision history

Recaiden at 02:56, 9 August 2022

2022-08-09T02:56:26Z

Recaiden at 02:54, 9 August 2022

2022-08-09T02:54:06Z

Recaiden at 02:44, 9 August 2022

2022-08-09T02:44:24Z

Recaiden at 02:42, 9 August 2022

2022-08-09T02:42:01Z

Adinsx: Missed something in the previous edit

2021-08-30T07:56:59Z

Missed something in the previous edit

Adinsx: Updated the talented_mod formula to match current values.

2021-08-30T07:56:11Z

Updated the talented_mod formula to match current values.

Adinsx: Grammar fix

2021-08-30T07:49:26Z

Grammar fix

ScienceBall: /* Step 4: Physical power */ Channel Staff is the talent that makes a weapon attack as a projectile. Command Staff is the talent that changes the damage type boosts, etc, on a staff.

2021-08-29T22:45:42Z

‎Step 4: Physical power: Channel Staff is the talent that makes a weapon attack as a projectile. Command Staff is the talent that changes the damage type boosts, etc, on a staff.

Vyn: /* Step 4: Physical power */ Clarified that physical power applies to all weapon based attacks

2021-08-29T22:35:58Z

‎Step 4: Physical power: Clarified that physical power applies to all weapon based attacks

Recaiden at 22:29, 25 July 2020

2020-07-25T22:29:09Z

@@ Line 15: / Line 15: @@
 This amount is then put through a [[rescaled combat stats|reducing formula]].
-As an example, let's take a Rogue with 41 Dexterity and 35 Cunning, who has the [[Lethality (talent)|Lethality]] talent.  His <tt>totstat</tt> (using a dagger) is 41*0.5 + 35*0.5, or 38.  His Strength doesn't matter, because [[Lethality (talent)|Lethality]] overrides it.
+As an example, let's take a Rogue with 41 Dexterity and 35 Cunning, who has the [[Lethality (talent)|Lethality]] talent.  His <tt>totstat</tt> (using a dagger) is 41*0.5 + 35*0.5, or 38.  His Strength doesn't matter, because [[Lethality (talent)|Lethality]] overrides it.  Because this is less than 45, it is not changed by the scaling formula.
 ===Step 2: Base weapon damage===

@@ Line 71: / Line 71: @@
 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.
+Here we are going to use the example of [[Cornac]] [[Bulwark]] (Smasher) smacking a [[Shalore]] [[Mindslayer]] (Squishy) with a sword.  We'll assume the basic damage calculated in the previous section comes out to 50.
   Accuracy (main Hand)  45
@@ Line 77: / Line 77: @@
   APR (main Hand)        8
   Crit (main Hand)       8%
 Result so far: 50
-====Step 2: Armour and Armour Hardiness====
+====Step 2: Damage Range====
-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 is displayed if you have advanced weapon statistics turned on.
 Otherwise, damage range can 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:
@@ Line 96: / Line 86: @@
 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).
+By dividing (28/20), you can get the damage range of 1.4.  A random number is then chosen between 50 (the damage) and 70 (damage * range).  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
+Smasher attacked with Dirty Fighting (lvl 2) for 52% damage, which is a fairly straightforward multiplication.  53 * 52% = 27.56
-Result so far: 29.64
+Result so far: 27.56
 ====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
+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.  27.56 * 150% = 41.34
-Result so far: 44.46
+Result so far: 41.34
 ====Step 6: Offhand Multiplier====
@@ Line 121: / Line 120: @@
 ====Increased Damage====
-Element category increases and enemy category increases are summed for the foe and then applied. If you have +25% physical damage and +25% damage against living and attack a living foe with a physical attack, the resulting damage will be multiplied by 1.5.
+Increased damage effects all add together. If you have +25% physical damage and +25% damage against living and attack a living foe with a physical attack, the resulting damage will be multiplied by 1.5.
-−
-=====Element Categories=====
-These are applied to any damage you do of the corresponding type. The most common sources of this is from certain egos and always on staffs.
-−
-=====Enemy Categories=====
-These are applied to any damage you do to the corresponding type of foe. The most common sources of this is from certain egos and artifacts, such as [[Genocide]].
 ====Resistances====

@@ Line 53: / Line 53: @@
   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 40.93.
-−
-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===
@@ Line 62: / Line 60: @@
   damage = dam ^ 1.04
-So, the final output in our Rogue example is 38.539 ^ 1.04, or 44.60.
+So, the final output in our Rogue example is 40.93 ^ 1.04, or 47.48.
-This will be shown as 44 on the character sheet.
+This will be rounded to 47 on the character sheet.
 == Applying the damage ==

@@ Line 10: / Line 10: @@
 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 ''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]] with a longsword the damage is somewhat proportional to Str*1.0; for a [[Rogue]] with a dagger, it would be Cun*0.45+Dex*0.45.
+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 0.5) plus your [[Dexterity]] (times 0.5).  However, if you have the [[Lethality (talent)|Lethality]] talent, this overrides the ''50% Str'' part and forces the calculation to use your [[Cunning]] (times 0.5) instead.  So a [[Bulwark]] with a longsword the damage is somewhat proportional to Str*1.0; for a [[Rogue]] with a dagger, it would be Cun*0.5+Dex*0.5.
 The result of this step is stored in a variable called <tt>totstat</tt> (for "total stats").
 This amount is then put through a [[rescaled combat stats|reducing formula]].
-As an example, let's take a Rogue with 41 Dexterity and 35 Cunning, who has the [[Lethality (talent)|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 (talent)|Lethality]] overrides it.
+As an example, let's take a Rogue with 41 Dexterity and 35 Cunning, who has the [[Lethality (talent)|Lethality]] talent.  His <tt>totstat</tt> (using a dagger) is 41*0.5 + 35*0.5, or 38.  His Strength doesn't matter, because [[Lethality (talent)|Lethality]] overrides it.
 ===Step 2: Base weapon damage===

@@ Line 37: / Line 37: @@
 With a raw [[Dagger mastery (talent)|Dagger 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 1.76.
-This can also be found in the relevant talent's description: ''increases weapon damage by 57% when using daggers''.
+This can also be found in the relevant talent's description: ''increases weapon damage by 76% when using daggers''.
 ===Step 4: Physical power===

@@ Line 33: / Line 33: @@
 We use this formula:
-  talented_mod = sqrt(eff_talent_level / 5) / 2 + 1
+  talented_mod = sqrt(eff_talent_level / 5) / 1.5 + 1
-With a raw [[Dagger mastery (talent)|Dagger 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.
+With a raw [[Dagger mastery (talent)|Dagger 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 1.76.
 This can also be found in the relevant talent's description: ''increases weapon damage by 57% when using daggers''.

@@ Line 29: / Line 29: @@
 ===Step 3: Mastery Talent modifier===
-Each type of weapon has a [[talent]] that boosts its damage output.  For most weapons, this is {{t|Weapons Mastery}}.  For daggers, it is {{t|Dagger Mastery}}.  Bows and slings use {{t|Bow Mastery}} and {{t|Sling Mastery}} respectively. For [[mindstars]], it is {{t|Psiblades}}. Other classes, such as [[Temporal Warden]]s, [[Brawler]]s, [[Stone Warden]]s, [[Sawbutcher]]s, [[Gunslinger]]s, and [[Psyshot]]s have their own class specific way version of these talents.
+Each type of weapon has a [[talent]] that boosts its damage output.  For most weapons, this is {{t|Weapons Mastery}}.  For daggers, it is {{t|Dagger Mastery}}.  Bows and slings use {{t|Bow Mastery}} and {{t|Sling Mastery}} respectively. For [[mindstars]], it is {{t|Psiblades}}. Other classes, such as [[Temporal Warden]]s, [[Brawler]]s, [[Stone Warden]]s, [[Sawbutcher]]s, [[Gunslinger]]s, and [[Psyshot]]s have their own class specific version of these talents.
 We use this formula:

@@ Line 45: / Line 45: @@
 For our example, we'll assume our Rogue has a physical power of 27.
-Physical power is used here for all weapon based attacks, even for weapons such as steamguns, mindstars, and staves using {{t|Command Staff}}.
+Physical power is used here for all weapon based attacks, even for weapons such as steamguns, mindstars, and staves using {{t|Channel Staff}}.
 ===Step 5: Total damage before rescaling===

← Older revision		Revision as of 22:35, 29 August 2021
Line 44:		Line 44:

	For our example, we'll assume our Rogue has a physical power of 27.		For our example, we'll assume our Rogue has a physical power of 27.
		+
		+	Physical power is used here for all weapon based attacks, even for weapons such as steamguns, mindstars, and staves using {{t\|Command Staff}}.

	===Step 5: Total damage before rescaling===		===Step 5: Total damage before rescaling===

@@ Line 2: / Line 2: @@
 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. For determining whether an attack hits in the first place, see [[Saves and To-Hit]].
 == Weapon 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]].
+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 ''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]] with a longsword the damage is somewhat proportional to Str*1.0; for a [[Rogue]] with a dagger, it would be Cun*0.45+Dex*0.45.
 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)|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 (talent)|Lethality]] overrides it.
@@ Line 16: / Line 19: @@
 ===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.
+The second most important factor in determining your damage is your weapon's base damage.
-−
-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) / 2
 If weapon's base damage is 28, then power comes out to approximately 1.337.
 ===Step 3: Mastery Talent modifier===
@@ Line 87: / Line 91: @@
 ====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:
+Damage range is displayed if you have advanced weapon statistics turned on.
 Base Power: 20 - 28