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Difference between revisions of "Accuracy, Evasion and Criticals"

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This formula applies to both surface shelling and carrier attacks during daytime combat. It does not apply to carrier airstrikes.
 
This formula applies to both surface shelling and carrier attacks during daytime combat. It does not apply to carrier airstrikes.
  
<math>\text{Accuracy}_\text{shelling} = \biggl\lfloor \left( \left( \text{Acc}_\text{base} + 2\sqrt{\text{Level}} + 1.5\sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip} \right) \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} + \text{Mod}_\text{fit} \right) \times \text{Mod}_\text{spotting} \times \text{Mod}_\text{AP} \biggr\rfloor </math>
+
<math>\text{Accuracy}_\text{shelling} = \biggl\lfloor \left( \left( \text{Acc}_\text{base} + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip} \right) \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} + \text{Mod}_\text{fit} \right) \times \text{Mod}_\text{spotting} \times \text{Mod}_\text{AP} \biggr\rfloor </math>
  
 
* <math>\text{Acc}_\text{base}</math> is the base accuracy value of the attack.
 
* <math>\text{Acc}_\text{base}</math> is the base accuracy value of the attack.

Revision as of 14:49, 6 August 2022

This page is to provide an in-depth look into the hit rate mechanics in-game for single/combined fleets and land-based air squadrons. The formulas presented in this page are still subject to change as more testing is done.

  • Please note that all formulas between   are rounded down.

Hit Rate

The hit rate is used by all attacks.

Hit %=Hitcap+Accproficiency+1

Where, the Capped Hit Rate (Hitcap) is:

Hitcap=capmax(capmin(AccuracyatkEvasiondef)×Moraledefender)

  • Accuracyatk is the calculated accuracy of the attack. Please see below for the various accuracy formulas.
  • Evasiondef is the calculated evasion of the defending ship. Please see below for the various evasion formulas.
  • Moraledefender is the morale state modifier of the defending ship. Morale is referring to the value of attacking timing, not the value before entering battle. Please see Morale and Fatigue for more details.
    • Sparkled is 0.7,
    • Normal is 1.0,
    • Orange is 1.2,
    • Red is 1.4.
  • Accproficiency is the average plane proficiency accuracy bonus. Please see Plane Proficiency for more details.
    • The average is calculated only from dive bombers, torpedo bombers, seaplane bombers and large flying boats.
    • The value is 12 for ❱❱ ranked planes.

Hit Rate Caps

There is a minimum and maximum hit rate in the game.

  • The minimum of capmin(x) is 10.
  • The maximum of capmax(x) is 96.

Notes:

  • Hit rate has an effective minimum of 11% and a maximum of 97%.
  • Plane proficiency is the only factor that allows a ship to go beyond 100% hit rate.

Critical Hit Rate

The following are the various formulas for determining critical hits for attacks.

  • Shelling/ASW (including carriers): 1.3×Hitcap+Critproficiency+1
  • Torpedo: 1.5×Hitcap+1
  • Airstrike: 0.2×Hitcap+Critproficiency+1
  • Night Battle (including carriers): (1.5+Constcontact)Hitcap+1
  • Shelling Support: 1.0×Hitcap+1
  • Airstrike Support: 0.2×Hitcap+1
  • Critproficiency is the plane proficiency critical bonus. Please see Plane Proficiency for more details.
  • Constcontact is the night contact constant from Night Reconnaissance Seaplane Night ReconsType 98 Reconnaissance Seaplane (Night Recon)
    Type 0 Reconnaissance Seaplane Model 11B Kai (Night Recon)
    Loire 130M
    . It is 0.07 if night contact is triggered, 0 otherwise.

Accuracy Formulas

Below are the common variables used in all accuracy formulas:

  • Level is the level of the attacking ship.
  • Luck is the luck Luck of the attacking ship.
  • Accequip is the total accuracy Accuracy provided by the equipment calculated as Accequip base+ModImpr×
    • Accequip base is the base accuracy Accuracy displayed on the equipment.
    • ModImpr is the equipment's Improvement modifier for the applicable attack.
    • is the equipment's improvement level.
  • Modformation is the formation modifier for the applicable attack. See Combat for more details.
Modformation
Formation Day Shelling &
Carrier Attacks
Torpedo Attacks ASW Night Battles
Line Ahead 1.0 1.0 1.0 1.0
Double Line 1.2 0.8 1.2 0.9
Diamond 1.0 0.4 1.0 0.7
Echelon 1.2 0.75 1.2 0.9
Line Abreast 1.2 0.3 1.2 0.8
Vanguard (Top) 0.8 ? ? ?
Vanguard (Bottom) 1.2 ? ? ?
Double Line vs Line Abreast 1.0 N/A 1.0 N/A
Echelon vs Line Ahead
Line Abreast vs Echelon
Combined Fleet Cruising Formation 1 ? ? ? ?
Combined Fleet Cruising Formation 2 1.0 ? ? ?
Combined Fleet Cruising Formation 3 ? ? ? ?
Combined Fleet Cruising Formation 4 1.1 ? ? ?
  • Modmorale is the morale modifier of the attacking ship. Morale is referring to the value of attacking timing, not the value before entering battle. See Morale and Fatigue for more details.
Modmorale
Sparkled 1.2
Normal 1.0
Orange 0.8
Red 0.5

Notes:

  • Because of the number of modifiers to accuracy in-game, it is trivial to increase accuracy. Therefore it is more important to prioritize firepower.

Daytime Shelling

This formula applies to both surface shelling and carrier attacks during daytime combat. It does not apply to carrier airstrikes.

Accuracyshelling=((Accbase+2×Level+1.5×Luck+All EquipsAccequip)×Modformation×Modmorale+Modfit)×Modspotting×ModAP

  • Accbase is the base accuracy value of the attack.
    • These values apply for Player as attacker and Enemy as targets. Values for Enemy attacker vs Player target are unclear/unknown, except single vs single = 90.
Fleet type base accuracy values for Player side[1][2]
vs. Enemy
Single Fleet Combined Fleet
Player Single Fleet 90 80
CTF Main 78 77
CTF Escort 45 67
STF Main 45 77
STF Escort 67 67
TCF Main 54 54
TCF Escort 45 67
  • Modfit is the Hidden Fit bonuses or penalties when applicable.
  • Modspotting is the artillery spotting bonus if applicable. Please see Artillery Spotting for more details.
Modspotting
Attack Type Prerequisites Post-cap
Damage
Modifier
Accuracy
Modifier
Hits Notes
Main Suisei Cut-in
(Suisei CI)
Large Caliber Main GunDive BomberDive Bomber 1.3 ? 1 Ise-class Kai NiIse Kai Ni
Hyuuga Kai Ni
only
Main Zuiun Cut-in
(Zuiun CI)
Large Caliber Main GunZuiun Model Seaplane BomberZuiun Model Seaplane Bomber 1.35 ? 1
Main AP Shell Cut-in
(APCI)
Large Caliber Main GunLarge Caliber Main GunSeaplaneArmor-Piercing Shell 1.5 1.2 1
Secondary AP Shell Cut-in
(Sec APCI)
Large Caliber Main GunSecondary GunSeaplaneArmor-Piercing Shell 1.3 1.3 1
Secondary Radar Cut-in
(Radar CI)
Large Caliber Main GunSecondary GunSeaplaneRADAR 1.2 1.5 1
Secondary Cut-in
(Sec CI)
Large Caliber Main GunSecondary GunSeaplane 1.1 1.3 1
Double Attack
(DA)
Large Caliber Main GunLarge Caliber Main GunSeaplane 1.2 1.1 2
ModAP
Type Modifier
Armor-Piercing ShellLarge Caliber Main Gun 1.1
Armor-Piercing ShellLarge Caliber Main GunSecondary Gun 1.2
Armor-Piercing ShellLarge Caliber Main GunRADAR 1.25
Armor-Piercing ShellLarge Caliber Main GunSecondary GunRADAR 1.3

Notes:

  • It is inadvisable to run any of the other setups beyond the most basic Gun+AP. This is because the other setups will interfere with artillery spotting and cost you better attack bonuses.
  • Unlike when calculating damage, the bonus applies to all targets.

Shelling Support

This formula applies to surface shelling and carrier attacks during shelling support.

Accuracyshelling support=(64+2×Level+1.5×Luck+All EquipsAccequip base)×Modformation?×Modmorale

  • Accequip base does not include accuracy from improvement level.
  • Modformation exists in KanColle Kai, but unclear if it applies to browser KanColle using the Daytime Shelling formation modifier of the main fleet.

Torpedo Attacks

This formula only applies to opening and closing torpedo attacks in day.

Accuracytorpedo=(85+2×Level+1.5×Luck+All EquipsAccequip+Attacktorp5+Modship)×Modformation×Modmorale


  • Attacktorp is the final basic torpedo attack power of the ship. Please see Damage Calculations for details.
    • The figure incorporates any pre-cap and post-cap modifiers and takes into account the attack cap.
    • This means that engagement and damage state play a role in torpedo accuracy.
  • Modship is the innate torpedo accuracy of the ship. Currently, only Abyssal ships have values above 0.

Aerial Combat

This formula applies to the airstrikes performed during the aerial combat phase and support. Although ASW support functions like an airstrike for damage, it does not use this formula.

Accuracyairstrike=95

Important Notes

  • Airstrike accuracy is a constant and not affected by any outside factors.

Anti-Submarine Warfare

This formula applies to all ASW attacks in the combat phase and support.

AccuracyASW=(80+2×Level+1.5×Luck+All EquipsAcc+2×ASWsonar)×Modformation×Modmorale×Modsynergy

  • Acc does not include Accuracy accuracy stat of the equipment, only the amount from Improvement related to ASW accuracy
  • ASWsonar is the base ASW stat of any sonars equipped.
  • Modsynergy is the synergy bonus from equipping certain combinations of ASW equipment.
    • Synergy bonus is either currently bugged or so small it cannot be tested.

Notes:

  • Equipping more sonars is the best way to boost ASW accuracy.

Night Battles

This formula applies to all night battle attacks.

AccuracyNB=(Modcontact×(69+Modstar shell)+2×Level+1.5×Luck+All EquipsAccequip)×Modformation×Modmorale×Modspecial+Modsearchlight+Modfit

  • Modcontact is 1.1 if a Night Reconnaissance Seaplane Night ReconType 98 Reconnaissance Seaplane (Night Recon)
    Type 0 Reconnaissance Seaplane Model 11B Kai (Night Recon)
    Loire 130M
    triggered, 1.0 otherwise.
  • Modstar shell is 5.0 if a Star Shell Icon.png Star ShellStar Shell is triggered, 0 otherwise.
  • Modsearchlight is 7.0 if a Searchlight SearchlightSearchlight
    Type 96 150cm Searchlight
    is triggered, 0 otherwise,
  • Modfit is the Hidden Fit bonuses or penalties when applicable.
  • Modspecial is the night battle special attack modifier. See Night Battle for more details.
    • Torpedo Cut-in: 1.65,
    • Gun Cut-in: 2.0,
    • Mixed Cut-in: 1.5,
    • Secondary Cut-in: 1.5,
    • Double Attack: 1.1,
    • Other multipliers are unknown.

Land-Based Air Squadron

This formula applies to attacks made by Land-Based Air Squadrons. The accuracy is calculated independently per squadron.

AccuracyLBAS=(95+(7×Accequip))×Modmorale+Modproficiency [1]

  • Accequip is the accuracy stat of the plane.
  • Modmorale is the morale modifier of the plane.
    • Normal/Orange morale: 1.0
    • Red morale: 0.8
  • Modproficiency is the plane proficiency accuracy bonus. Please see Plane Proficiency for more details.
    • The value is 12 for ❱❱ ranked planes.

Evasion Formulas

Evasion has several caps depending on the calculated base evasion of the ship. Base evasion is calculated as follows:

Evasionbase=(Evasionship+2Luck)×Modformation

  • Evasionship is the evasion of the ship including any visible equipment bonuses.
  • Modformation is the formation modifier. It varies based on the attack being received. Please see Combat for more details.
    • Currently modifiers for Vanguard are unknown.


The various capped evasion formulas to calculate the final evasion rate is as follows:

  • Evasionbase<40:Evasioncap=Evasionbase
  • 40<Evasionbase<65:Evasioncap=40+3Evasionbase40
  • Evasionbase>65:Evasioncap=55+2Evasionbase65

Capped evasion is then modified by post-cap modifiers:

Evasion %=Modsearchlight×(Evasioncap+Modsonar+ModCA+ModvanguardModfuel)

  • Modsearchlight is the searchlight evasion penalty. It is 0.2 for any ship equipped with a searchlight (even if not triggered) and 1.0 otherwise.
  • Modsonar is the sonar improvement modifier that only applies to opening and closing torpedo attacks. It is 0 otherwise.
    • Modsonar=All Sonars1.5
  • ModCA is the heavy/aviation cruiser night battle evasion bonus. It is 5 for heavy/aviation cruisers and 0 otherwise.
  • Modvanguard is the Vanguard evasion bonus. This is different from the formation modifier that gets taken into account for base evasion. Bonuses are:
    • For ships at the top (slots 1-2 or 1-3): Non-destroyers get a 5% bonus. Destroyers get a 20% bonus.
    • For the rest of the ships at the bottom (slots 3-5 or 4-7): Non-destroyers get a 20% bonus. Destroyers get a 40% bonus.
  • Modfuel is the remaining fuel penalty.
    • Modfuel=75Fuel
    • If fuel is above 75%, the penalty is 0.
    • The penalty is an integer and not a percentage.
Remaining Fuel Penalty
Battle #[1] Remaining Fuel Penalty
2nd Battle 80% 0
3rd Battle 60% 15
4th Battle 40% 35
5th Battle 20% 55
6th+ Battle 0% 75
  1. This only takes into account normal day battles. Special nodes have different resource consumption.

Notes:

  • The speed of the fleet is supposed to play a role in evasion. Currently, said increase is either nonexistent or too small to test.
  • Using AO equipped with Supplies Underway ReplenishmentUnderway Replenishment is a way to medigate fuel penalties.

Special Cases

PT Imps

PT Imps were introduced during the Summer 2017 Event.

CollapseAnti-PT boat
Unlike most standard Abyssals, "PT boats" (PT Imp PackPT Imp Pack & Schnellboot Imp PackSchnellboot Imp Pack) are "very small and fast".
  • All ship types suffer a severe Accuracy accuracy and Firepower firepower penalty against PT boats.
  • Attacking them with larger guns is not very effective, smaller guns being recommended instead.
  • Support Expeditions are not affect by any of the following[1].
Attack formula against PT boats
The Attack formula against PT boats:[2][3]
Jet Assault & Airstrike
  • DamagePT=Atkpost-cap×Rand[0.5;0.8]


LBAS[4]
  • DamagePT=Atkpost-cap×Rand[0.4;0.7]


Shelling
  • DamagePT=(0.3×Atkpost-cap+Atkpost-cap+10)×AllEquipmentModEquipmentAtk


Opening & Closing Torpedo Salvos
  • DamagePT=0.3×Atkpost-cap+Atkpost-cap+10


Night Battle
  • Night Battle data are unclear yet.


With
  • Atkpost-cap the post cap attack power defined here,
  • ModEquipmentAtk the bonuses given by equipment, described below.
Accuracy formula against PT boats
The Accuracy formula against PT boats:[5][6][7][8]
Hit Ratevs.PT%=(0.3×AccuracyAtk+AccuracyAtk+15)×1.2×ModShip×(AllEquipmentModEquipmentAcc)×ModNightEVAPT+1
With
  • AccAtk the standard accuracy described here
    • PT boats are "DDs" in the game, so the Modformation for vanguard is 1.1 during shelling, and 1.2 during the torpedo phase.
    • Historical accuracy bonuses during Events are included in the Standard Accuracy Term, i.e. it is affected by the ModPT modifier.
  • EVAPT the PT estimated evasion Evasion described bellow,
PT boats stats
Type Luck Luck Eva Evasion EVAPT
Line AheadLineAhead.png EchelonEchelon.png Line AbreastLineAbreast.png
PT Imp PackPT Imp Pack ? ? 81? 87? ?
PT Imp Pack IIPT Imp Pack II 60 220 80 87 85
PT Imp Pack IIIPT Imp Pack III 60 250 82 89 88
PT Imp Pack IVPT Imp Pack IV ? ? ? 84? ?
Schnellboot Imp PackSchnellboot Imp Pack ? ? ? ? ?
Schnellboot Imp Pack IISchnellboot Imp Pack II ? ? ? ? ?
Schnellboot Imp Pack EliteSchnellboot Imp Pack Elite ? ? ? ? ?


The main Accuracy modifiers are
  • ModAmagiri being include in AccAtk:
  • ModShip the bonus given by ship types, described below,
  • ModEquipmentAcc the bonuses given by equipment, described below,
  • ModNight being 0.7 during night battle, 1 during day battle.


Amagiri Kai Ni/DAmagiri Kai Ni
Amagiri Kai Ni D
has the ability to prioritize focusing on attacking PT imps with significantly increased accuracy if any are present.

  • DD placed in the composition slots above and below her will gain a noticeable accuracy boost and will prioritize attacking PT boats if any are present.
  • The PT boat targeting rate is 100% for all affected ships [9].

During Events, some special bonuses may be added, with "historical" ships and equipment gaining some accuracy bonuses[10].

Ship Type ModShip
DD & DE 1.0
CL, CLT, & CT 0.82
All other types 0.7
Equipment ModEquipmentAcc ModEquipmentAtk
1st equipped 2nd equipped 1st equipped 2nd equipped
Small Caliber Main GunSmall Caliber Main High-angle GunSmall Small Caliber Main Guns[11] 1.3 1.15 1.5 2.11.5×1.4
Secondary GunSecondary High-angle GunSec Secondary Guns[12] 1.55 1 1.3
Anti-Aircraft Gun Anti-Aircraft Guns 1.45 1.35 1.2 1.441.2×1.2
Lookout Skilled LookoutsSkilled Lookouts
Torpedo Squadron Skilled Lookouts
1.75 1 1.1
Landing CraftArmed Soukoutei (Armored Boat Class)Soukoutei (Armored Boat Class) 1.45 1.3 1.2 1.1
Armed DaihatsuArmed Daihatsu 1.45 1.3 1.2 1.1
Amphibious Vehicle Ka-Tsu TanksSpecial Type 4 Amphibious Tank
Special Type 4 Amphibious Tank Kai
[13][14]
1 1.3 1 1.1
Seaplane BomberBomberSeaplane Fighter Seaplane Bombers & Seaplane Fighters 1.5 1 1.2
Dive BomberJetFighterBomber1.pngJetFighterBomber2.png Dive Bombers & JetsKikka Kai
Jet Keiun Kai
1.375 1.2 1.4 1.821.4×1.3
All other equipment 1 1
Notes
  • It is recommended to use anti-PT setups on DDs only, such setups compromising overall combat effectiveness.
  • Having a Reinforcement Expansion is important because it can save a ship slot by containing a machine gun or skilled lookouts.
  • Combining equipment is recommended to see significant boosts to accuracy.
  • The Amphibious Vehicle Ka-Tsu TanksSpecial Type 4 Amphibious Tank
    Special Type 4 Amphibious Tank Kai
    bonus does not stack with the Landing Craft Armed BoatsSoukoutei (Armored Boat Class)
    Armed Daihatsu
    ones.
  • Using other setups improving accuracy is also advisable:
References:
[edit]