Difference between revisions of "Attack speed"

Revision as of 03:30, 28 June 2023

Version 0.30: This article may not be up to date for the latest stable release of Crawl.

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.

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.

Brand

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 skill/brand is applied.

Shields will slow down attacks by 1d(2/5 * encumbrance^2 / (5 + str) * (27 - sh_skill) / 27) aut.^[2]^[3] 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), then body armour will slow down your attack speed. Body armour slows down ranged weapons depending 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 aut, 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.

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

The contents below are very complex and not necessary to understanding and enjoying the game. They are included for completeness and may be removed.

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-(104))20 /(5(20-3(0))/270 =2300/270=8		15*12	158 + 512	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

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.

[1] yer-act.cc:272 (0.28.0)

[2] yer.cc:5739 (0.30.0)

[3] yer-act.cc:306 (0.30.0)

[1]

[2]

[3]

@@ Line 1: / Line 1: @@
-{{version028}}
+{{version030}}
 ''See [[Weapon Speed]] for tables summarising this information.''
-''This page goes into great detail about attack delay calculations.''
+'''Attack speed''' is how fast a player can attack with [[melee weapon]]s, [[ranged weapon]]s, or [[Unarmed Combat]].
-When deciding between two different weapons, it can be helpful to understand exactly how attack speed works. Each physical attack in ''Crawl'' takes a certain amount of time. A character with a smaller attack delay will swing more frequently than a character with a larger attack delay. This can greatly multiply how often you can inflict damage in combat. So it is strongly recommended to get your attack delay as low as possible.
+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.
-==Attack Delay Calculations for Weapons and Missiles==
+==Weapon Attack Delay==
-*Note that [[strength]], [[dexterity]], and [[armour]] have no effect on attack delay.
-===Base attack delay===
+===Base delay===
-All weapons, thrown objects, and launched objects have a base attack delay. You can find this information in game by examining the weapon or launcher. The base attack delay in game should be multiplied by 10 to give the delay in [[aut]]s. The [[Weapon Speed]] page has complete tables and includes thrown objects. It also lists the base delay in [[aut]]s. For reference most species move and cast spells with a delay of 10 [[aut]]s.
+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).
-===Minimum attack delay===
+The [[Weapon Speed]] page has a complete table of every weapon, in aut.
-By raising your skill with the weapon or launcher you can reduce attack delays to the minimum attack delay. The minimum delay is usually 1/2 the base delay rounded down. If this is greater than 7 then the minimum attack delay is set to 7. There are three exceptions to this rule:
-*[[Short blades]]: The rapier with a base delay of 12 has a minimum delay of 5.
-*All [[Crossbows]] have a minimum delay of 10.
-*The [[Woodcutter's axe]] always has a delay of 10 regardless of skills.
-===Skill adjustments===
+===Skill===
-Weapon, launcher, or throwing skills brings down the attack delay by <code>(skill level)/2</code> until you reach minimum weapon delay. Increasing your skill beyond that will not let you attack faster but it will slightly improve your damage and accuracy with the weapon. Normally you turn off your weapon skill when you hit minimum delay and dump experience points into increasing skills in other areas. The gods [[Ashenzari]] and [[Okawaru]] can increase your weapon skills and thus contribute to lowering your weapon delay.
+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.
-===Speed Brand===
+A weapon's mindelay is usually the ''smaller'' of <code>base delay / 2</code> 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 [[rapier]]s and [[triple crossbow]]s.
-The [[speed (brand)|speed brand]] further reduces the delay to 2/3 of the skill adjusted delay.
-With skill and speed brand improvements there is a hard coded minimum delay of 3.
-===Shield Penalties===
+Unarmed Combat works differently. For every 5.4 [[Unarmed Combat]] skill, attack delay is reduced by 0.1 decaAut.<ref>{{source ref|0.28.0|player-act.cc|272}}</ref> It otherwise works similarly to weapons.
-[[Shields]] will slow down weapon speed. This slow down can be reduced by increasing your [[shields (skill)|shield skill]].
-Shields slow down the player by <code>2/5 * encumbrance^2 / (20 - 3 * size_factor) * (27 - shield_skill) / 27</code> [[aut]]. <ref>{{source ref|0.28.0|player.cc|5587}}</ref>
+===Brand===
+* The [[speed brand]] reduces your weapon delay by x66%.
+* The [[heavy]] brand increases your weapon's delay by +50%.
-The values for shield encumbrance and size factor can be found on the [[shields]] page. The game does display the [[Encumbrance rating|shield encumbrance]] when describing the item, but it does not report the character size factor. The shield penalty can be reduced to zero with a maxed out shield skill of 27.
+===Shields===
+[[Shield]]s encumber their wielder, slowing down weapon speed after skill/brand is applied.
-===God Given Abilities===
+Shields will slow down attacks by 1d(<code>2/5 * encumbrance^2 / (5 + [[str]]) * (27 - [[Shields (skill)|sh_skill]]) / 27</code>) aut.<ref>{{source ref|0.30.0|player.cc|5739}}</ref><ref>{{source ref|0.30.0|player-act.cc|306}}</ref> Divide by 10 to convert aut into decaAut.
-The god [[Okawaru]]'s Finesse ability will further cut the delay in half. Note that this will not stack with haste nor berserk.
-===Status modifiers===
+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.
-*[[Potion of haste|Haste]] and [[berserk]] will further reduce the delay to 2/3 of its calculated value if you have not invoked Finesse. You cannot be both hasted and berserked.
-*[[Statue Form]], [[Petrify]]ing, and [[Slow]]ness will increase the delay to 3/2 of the calculated value. These status conditions do stack with haste resulting in a net cancellation of the two different statuses. Slowness can stack with both statue form and petrifying.
-*In no case, will the delay be reduced below 2.
-==Unarmed Combat==
+===Body Armour===
-[[Unarmed combat]] has a different attack delay calculation. It is <code>10-(unarmed combat skill)/54</code><ref>{{source ref|0.28.0|player-act.cc|272}}</ref>. You start with a delay of 10 with no unarmed combat skill and reach a minimum delay of 5 with an unarmed combat skill of 27. The shield penalties, god given abilities, and status modifiers apply to unarmed combat as well.
+If you are using a "[[Ranged Weapon]]" (which does ''not'' include [[Throwing]]), then [[body armour]] will slow down your attack speed. Body armour slows down ranged weapons depending on its [[encumbrance rating]].
+The formula is <code>(encumbrance^2 / 2250) * (90 - 2 * [[Armour (skill)|ar,_skill]]) / (3 + str)</code> 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]], [[Petrify]]ing, and [[Slow]]ness 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 aut, which no action can go under.
 ==Spells==
-Spells can be used for attacking and thus are included on this page. The base delay for casting a spell is 10. It can be modified by status modifiers, but delay is not affected by skill, shields, or god abilities.
+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...).
-An exception to this is the spell [[Manifold Assault]]. The delay of casting manifold assault is the calculated weapon or unarmed combat delay.
+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 speed|movement delay]].
 ==Movement Based Attacks==
@@ Line 50: / Line 56: @@
 ===Martial Arts Attacks===
-The [[Wu Jian]] Council allows a player to make a number of different martial arts attacks. The number of attacks is based on the attack delay and the movement delay<ref>{{source ref|0.28.0|god-passive.cc|1360}}</ref>. The movement delay is:
+The [[Wu Jian Council]] allows the player to make attacks based on movement.
-*10 if you have invoked the serpent's lash ability.
-*Otherwise your normal movement delay is used.
-*Wall jump uses the double the movement delay. (It takes two turns.)
-Your attack delay is the delay calculated in the previous sections. The number of attacks is the movement delay divided by the attack delay. If this is not an integer, the number of attacks could be rounded up or down. The number of attacks will average out to the non-integer number of attacks calculated.
-An extreme example would be a Spriggan (movement delay of 6) wielding the [[dark maul]] (base delay of 30), which would make 1 attack only 6/30 (or 1/5) of the time. The other extreme would be a Naga (movement delay of 14) with a skilled [[quick blade]] (delay of 3). A wall jump, doubling expected turns, would give 28/3: 9 attacks with a 1/3 chance for an extra one.
-===Charging Attacks===
+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.
-*The [[rampaging]] ego allows you to move towards a target and attack. The time taken is the attack delay and not the movement delay. Even a naga wielding a quick blade with sufficient [[short blade]] skill can move and attack a target with a delay of 3. Compare this with a naga's movement delay of 14.
-*A [[palentonga]]'s rolling charge allows you to move towards a target and attack. The time taken is the maximum of a movement delay or an attack delay.
-===Bolt Attacks===
+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.
-There are attacks that can hit multiple targets as you move through them like a bolt.
-*[[Storm Form]] has the blink bolt ability to move through many targets at once doing damage to each.
-*[[Uskayaw]]'s line pass ability has the same properties.
-===Instantaneous Attacks===
+===Rampaging===
-Some spells and abilities let you appear somewhere else and immediately make an attack without any delay.
+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.
-*[[Passwall]] turn delay is spent on one side of a rock wall. After this delay you appear on the other side and are ready for your next action. You can attack without targets being able to react to you first. This is different than blink which moves you to a new location and then you stay there for the turn delay.
 ==Detailed Calculations==
 {{Too Complex}}
-'''Note: Shield penalties have not been updated to 0.28.'''
+'''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.

Difference between revisions of "Attack speed"

Revision as of 03:30, 28 June 2023

Contents

Weapon Attack Delay

Base delay

Skill

Brand

Shields

Body Armour

Statuses

Spells

Movement Based Attacks

Martial Arts Attacks

Rampaging

Detailed Calculations

Averaging Fractional Delays

Using Statistical Random Variables

Example 1

References

History

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