Attack speed
See Weapon Speed for tables summarising this information.
Attack speed is how fast a player can attack with melee weapons, ranged weapons, or Unarmed Combat.
Your attack speed is usually measured in the form of "attack delay". A normal action takes 1.0 decaAut, or 10 aut, of time. The more aut you take, the slower you act. So if you have a smaller attack delay, you will attack faster.
Contents
Weapon Attack Delay
Base delay
All weapons, including ranged weapons and Throwing implements, have a base attack delay. When looking at the weapon in the 'i'nventory, you'll get the base attack delay (in decaAut). For example, a dagger has a base delay of 1.0 decaAut (10 aut).
The Weapon Speed page has a complete table of every weapon, in aut.
Skill
For every 2 levels in the corresponding weapon skill, your attack delay is reduced by 0.1 decaAut. There is a limit - every weapon has a minimum delay, where skill cannot reduce attack speed any further.
A weapon's mindelay is usually the smaller of base delay / 2
or 0.7 decaAut. For example, a dagger has a base delay of 1.0, so it has a mindelay of 0.5. A large rock has a base delay of 2.0, but its mindelay is still 0.7 decaAut. There are a few exceptions to this rule, such as rapiers and triple crossbows.
Unarmed Combat works differently. For every 5.4 Unarmed Combat skill, attack delay is reduced by 0.1 decaAut.[1] It otherwise works similarly to weapons.
Brands
Weapon brands can modify speed, applied after accounting for skills.
- The speed brand reduces your weapon delay by x66%.
- The heavy brand increases your weapon's delay by +50%.
Shields
Shields encumber their wielder, slowing down weapon speed (after brands are applied).
Shields will slow down attacks by 1d(2/5 * encumbrance^2 / (5 + str) * (27 - sh_skill) / 27
) aut.[2][3] If the formula results a decimal amount of aut, then it is rounded in a weighted manner before 1d(x) is rolled. Divide by 10 to convert aut into decaAut.
The values for shield encumbrance can be found on the Shields page. The shield penalty can be reduced to zero with a maxed out shield skill of 27.
Body Armour
If you are using a "Ranged Weapon" (which does not include Throwing weapons), then body armour will slow down your attack speed. Body armour slows down attacks based on its encumbrance rating.
The formula is (encumbrance^2 / 2250) * (90 - 2 * ar,_skill) / (3 + str)
aut.
Values for armour encumbrance can be found on the Armour page. Unlike shields, the penalty cannot be fully eliminated with skill.
Statuses
- Haste (including from berserk) reduces all action delays by a factor of 2/3
- Okawaru's Finesse ability reduces weapon delay by half. This does not stack with haste.
- Statue Form, Petrifying, and Slowness increase all delays by a factor of 3/2. These conditions do stack with haste and with each other.
Finally, there is a hard limit of 0.2 decaAut, which no action can go under.
Spells
Spells can be used for attacking, and are thus included on this page. The vast majority of spells have a base delay of 1.0 decaAut. It can be modified by statuses (Haste, Statue Form, Slow...).
A few spells attack with your weapon:
- Manifold Assault uses your attack delay exactly (following the above formulae).
- Vhi's Electric Charge uses the smaller of your attack delay and your movement delay.
Also, Sandblast is cast at 1.5 delay, instead of 1.0.
Movement Based Attacks
Some attacks are combined with movement. Even if the actual attack delay is not changed, they are mentioned here for completeness.
Martial Arts Attacks
The Wu Jian Council allows the player to make attacks based on movement.
Under normal circumstances, movement takes the usual amount of time, and make attacks based on that time. For example, lets say you move at 1.0 decaAut. If you have a weapon delay of 0.7, you'll always perform 1 attack on a move (taking 0.7 / 1.0 of the time), and have a 3/7 (0.3 / 0.7) chance for a 2nd attack. As an extreme example, a Naga (1.4 move delay) with a quick blade (0.3 attack delay) would attack 4 times per move, with a 50% chance of a 5th attack.
Serpent's Lash treats your movement delay as 1.0 decaAut, regardless of your actual movement delay. Wall Jump counts as 2 actions, so doubles your movement delay.
Rampaging
The rampaging ego lets you take a free step before attacking. If you are 1 space from an enemy, you'll move instantly and then attack at your normal attack delay.
Detailed Calculations
Note: Shield penalties have not been updated to 0.30.
The formulas above give you a very close approximation to the average attack delay. Most players can use the values above or the values on the weapon speed page without needing to know about the detailed calculations in this section.
Averaging Fractional Delays
Most calculations above can result in fractional delays. If you have a short sword with a base delay of 11 and a short blade skill of 5.7, the formula above would give you an average delay of 11-5.7/2 = 8.15
. The game mechanics give you an average delay by rolling a delay of 8 85% of the time and a delay of 9 15% of the time. This is needed because all delays are integer values of auts.
Using Statistical Random Variables
The fractional delays do not give the entire story because each stage attack delay calculations involve creation of a new random variable. These random variables actually contain all possible integer delays and their weighted probabilities. This can result in a much wider range of attack delays than the averaging of fractional delays would imply. To complicate things, all calculations are done with a fixed precision. This is best explained by examples.
Example 1
Let's use the example of a human wielding a short sword and a buckler. The human has a short blade skill of 7.5 and a shield skill of 4. The buckler's encumbrance is 5. The human size factor is zero and can be found on the shields page. There are three random variables used.
- The first is the base delay of the short sword of 11 aut
- The second random variable incorporates the additional skill adjustment delay of -skill*10/scale = -75/20
- The third random variable incorporates the additional shield penalty delay of 8/20
- The final probabilities: delay=7 47.4%, delay=8 47.4%, delay=9 5.3%
Delays | |||||||||
---|---|---|---|---|---|---|---|---|---|
Explanation | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | Total Weight |
Base delay short sword |
1 | 1 | |||||||
Subtract Skill reduction 7.5*scale/20 |
15 | 5 | 20 | ||||||
Add shield penalty 2*(5)^2*(270-(10*4))*20 |
15*12 | 15*8 + 5*12 | 5*8 | ||||||
Shield Penalty Weights | 180 | 180 | 20 | 380 |
- Note that there are three possible delays, not just two based upon one average
- A scale is used to create weights which avoids large integer division truncation inaccuracies
- A random number from 0-380 is created and a delay is selected based upon which bin the number would fall into.
References
- ↑ player-act.cc:272 (0.28.0)
- ↑ player.cc:5739 (0.30.0)
- ↑ player-act.cc:306 (0.30.0)
History
- In 0.28, the penalty formula changed; before, certain skill thresholds (4 skill for buckler, 15 for kite shield, 25 for tower shield) negated it.
- In 0.27, the shield penalty was increased and was less random.
- Prior to 0.16, the amount of skill required to negate penalties for wearing a shield was more complex.