Damage formula
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There isn't a single, general purpose damage formula, but different types of damage have different means of calculating damage.
In general, damage can be calculated as [(Raw Damage) - (Damage Reduction)] * (Chance to hit)
over an action's given speed.
Raw Damage[1]
- Weapon damage: which covers damage calculation for player weapons, unarmed combat, and throwing.
- Spell damage: Most spells, wands, and monster abilities deal damage in dice notation, and deal
nD( (Spellpower * multiplier / divisor) + constant)
. Spellpower is determined by skill (and for monsters, HD). Each spell has its own multiplier, divisor, and constant. See a spell's own page for more details.- If the dice has a non-integer amount of sides, it is often rounded in a weighted manner. That is, 1d1.25 has a 25% chance to be 1d2 and a 75% chance to be 1d1. However, this varies on a case-by-case basis; sometimes dice round down or round to the nearest integer.
- Certain spells like Shatter may further be multiplied by external factors.
- By default, spells check AC and EV. Some may ignore one or the other, or both.
- Poison deals damage over time. The more poison you receive, the more the poison "stacks", and the faster you take damage.
- Certain effects like Agony, Torment, and flay are percentages of your maximum health.
Damage from monsters is unknown(?), but their maximum damage is displayed on examination.
- ↑ not to be confused with weapons' base damage
Other Factors
- To-hit: Determines accuracy (chance to-hit) of an attack. Some attacks can't miss, which is an infinite to-hit.
- Weapon speed: Determines how fast you swing/fire a weapon or fists. Most spells have a delay of 1.0.
Damage Reduction
- Resistances reduce damage of a specific type. Player and monster resistances are not symmetrical.
- Armour class (AC) will reduce most attacks by (0 to AC) damage.
- Physical attacks in melee against the player are affected by guaranteed damage reduction (GDR), which increase the minimum AC roll.
- Evasion score (EV) determines how likely you are to dodge an avoidable attack completely. See Evasion#To-hit_versus_EV for formulas.
- Shield score (SH) determines how likely you are to block an attack completely. Melee attacks, ranged attacks, and certain projectile-like spells can be blocked. See Shields#Blocking for formulas