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Line 11:
Line 11: − + + + + + + − <math>\text{Hit}_\text{cap} = \text{cap}_\text{max}\left( \text{cap}_\text{min} \left(\text{Accuracy}_\text{atk} - \text{Evasion}_\text{post-cap}\right) \times \text{Morale}_\text{defender} \right)</math>+ − Line 29:
Line 33: − '''Hit Rate Caps'''+ − + − There is a minimum and maximum hit rate in the game. + − + − − '''Notes:'''+ Line 43:
Line 46: − + − {|class="wikitable mw-collapsible mw-collapsed" width="100%"+ − !Critical Rate+ − + − |+ − <math>{Crit}_\text{rate} = \lfloor \text{Mod}_\text{type} \times \sqrt{\text{Hit}_\text{cap} + \text{Acc}_\text{proficiency}} \rfloor + \text{Crit}_\text{proficiency} + 1</math>+ − + − With: − * <math>{Mod}_\text{type}</math> the attack type modifier : − − − |- − |-+ − |Shelling+ − |rowspan=2|1.3+ − |-+ − |ASW+ − |-+ − |Torpedo+ − |1.5+ − |-+ − |Airstrike+ − |0+ − |-+ − |Night Battle<ref>Carrier Night Air Attacks (NB CVCI) use the night battle Mod.</ref>+ − |<math>1.5 + \text{Const}_\text{contact}</math>+ − |-+ − |Shelling Support+ − |1.0+ − |-+ − |Airstrike Support+ − |0.2<ref>Based on KanColle Kai datamine, unconfirmed if also 0 like regular Airstrike in browser version</ref>+ − |}+ − + − + − |-+ − |-+ − |1||0.07+ − |-+ − |2||0.14+ − |}+ Line 99:
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Line 229: + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Line 245:
Line 280: + + + − <math>\text{Accuracy}_\text{shelling} = \bigg\lfloor \bigg( \Big( \text{Acc}_\text{base} + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip} \Big) \times \text{Mod}_\text{vanguard} \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} + \text{Mod}_\text{fit} \bigg) \times \text{Mod}_\text{spotting} \times \text{Mod}_\text{AP} \bigg\rfloor </math>+ − − Line 294:
Line 330: + + + + + Line 379:
Line 420: − + + − + − + − + − + Line 393:
Line 435: − + − + − + + Line 407:
Line 450: + + + − <math>\text{Accuracy}_\text{torpedo} = \left( \text{Acc}_\text{base} + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip} + \left \lfloor{\frac{\text{Attack}_\text{torp}}{5}} \right \rfloor + \text{Mod}_\text{ship} \right) \times \text{Mod}_\text{vanguard} \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale}</math>+ − − Line 449:
Line 493: + + + − <math>\text{Accuracy}_\text{airstrike} = \text{Acc}_\text{base}</math>+ Line 481:
Line 528: − + + Line 492:
Line 540: + + + − <math>\text{Accuracy}_\text{ASW} = \left( 80 + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\bigstar + 2 \times \sum \text{ASW}_\text{sonar} \right) \times \text{Mod}_\text{vanguard}? \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} \times \text{Mod}_\text{synergy}</math>+ − − Line 502:
Line 551: − + + Line 514:
Line 564: + + + − <math>\text{Accuracy}_\text{NB} = \bigg( \text{Mod}_\text{contact} \times \Big( 69 + \text{Mod}_\text{star shell} \Big) + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip} \bigg) \times \text{Mod}_\text{vanguard}? \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} \times \text{Mod}_\text{special} + \text{Mod}_\text{searchlight} + \text{Mod}_\text{fit}</math>+ − − Line 530:
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Line 688: + + − + + − + + + − + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Line 625:
Line 756: − + + + + + + − <math>\text{Evasion}_\text{post-cap} = \biggl\lfloor \text{Mod}_\text{searchlight} \times \left( \text{Evasion}_\text{cap} + \text{Mod}_\text{sonar} + \text{Mod}_\text{CA} + \text{Mod}_\text{DD} - \text{Mod}_\text{fuel} \right) \biggr\rfloor</math>+ − − Line 664:
Line 798: − + + − + − + Line 688:
Line 823: − + Line 734:
Line 869: − |- − |colspan=4|''? − |- − !colspan=4|Night Battle Line 759:
Line 890: − +
→Evasion
|-
|-
|
|
<math>\text{Hit %} = \bigl\lfloor \text{Hit}_\text{cap} \bigr\rfloor + \text{Acc}_\text{proficiency} +1</math>
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
|valign="center"| <math>\text{Hit %} = \bigl\lfloor \text{Hit}_\text{cap} \bigr\rfloor + \text{Acc}_\text{proficiency} +1</math>
|}
Where, the Capped Hit Rate <math>\left( \text{Hit}_\text{cap} \right)</math> is:
Where, the Capped Hit Rate <math>\left( \text{Hit}_\text{cap} \right)</math> is:
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
|valign="center"| <math>\text{Hit}_\text{cap} = MIN \Big[ \big( MAX \big[ ( \text{Accuracy}_\text{atk} - \text{Evasion}_\text{post-cap} ) ; {\color{tomato} \text{10}} \big] \times \text{Morale}_\text{defender} \big) ; {\color{DeepSkyBlue} \text{96}} \Big]</math>
|}
;With
* <math>\text{Accuracy}_\text{atk}</math> is the calculated accuracy of the attack. Please see [[#Accuracy|below]] for the various accuracy formulas.
* <math>\text{Accuracy}_\text{atk}</math> is the calculated accuracy of the attack. Please see [[#Accuracy|below]] for the various accuracy formulas.
* <math>\text{Evasion}_\text{post-cap}</math> is the calculated evasion of the defending ship. Please see [[#Evasion|below]] for the evasion formula.
* <math>\text{Evasion}_\text{post-cap}</math> is the calculated evasion of the defending ship. Please see [[#Evasion|below]] for the evasion formula.
** The value is '''12''' for {{Double Chevron}} planes.
** The value is '''12''' for {{Double Chevron}} planes.
;Hit Rate Caps
By following this formula, the hit rate is:
* '''10''' at minimum,
* The minimum of <math>\text{cap}_\text{min}\left(x\right)</math> '''is 10'''.
* '''96''' at maximum.
* The maximum of <math>\text{cap}_\text{max}\left(x\right)</math> '''is 96'''.
|}
|}
;Notes
* Hit rate has an effective '''minimum of 11%''' and a '''maximum of 97%'''.
* 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.
* Plane proficiency is the only factor that allows a ship to go beyond 100% hit rate.
==Critical Hit Rate==
==Critical Hit Rate==
'''Critical Hits''' are hits that do more damage than normal. The critical hit rate stems directly from hit rate with different proportion depending on the attack type.
'''Critical Hits''' are hits that do more damage than normal. The critical hit rate stems directly from hit rate with different proportion depending on the attack type.
{{Formula
|Title=Critical Rate
|Math={Crit}_\text{rate} = \lfloor \text{Mod}_\text{type} \times \sqrt{\text{Hit}_\text{cap} + \text{Acc}_\text{proficiency} } \rfloor + \text{Crit}_\text{proficiency} + 1
|-
|Var=<math>{Mod}_\text{type}</math> the attack type modifier :
{{{!}}class="wikitable" style="text-align:center"
!colspan=2{{!}}<math>{Mod}_\text{type}</math>
{{!}}-
{|class="wikitable" style="text-align:center"
!colspan=2|<math>{Mod}_\text{type}</math>
!Attack type
!Attack type
!Attack modifier
!Attack modifier
{{!}}-
{{!}}Shelling
{{!}}rowspan=2{{!}}1.3
{{!}}-
{{!}}ASW
{{!}}-
{{!}}Torpedo
{{!}}1.5
{{!}}-
{{!}}Airstrike
{{!}}0
{{!}}-
{{!}}Night Battle<ref>Carrier Night Air Attacks (NB CVCI) use the night battle Mod.</ref>
{{!}}<math>1.5 + \text{Const}_\text{contact}</math>
{{!}}-
{{!}}Shelling Support
{{!}}1.0
{{!}}-
{{!}}Airstrike Support
{{!}}0.2<ref>Based on KanColle Kai datamine, unconfirmed if also 0 like regular Airstrike in browser version</ref>
{{!}}}
* <math>\text{Const}_\text{contact}</math> the night contact constant from {{Night Recon}} {{Equipment/Link|Type 98 Reconnaissance Seaplane (Night Recon)|Type 0 Reconnaissance Seaplane Model 11B Kai (Night Recon)|Loire 130M|text=Night Recons|link_category=Night Recon}}, its value depends on the {{Hit}} stat of the {{Night Recon}} if night contact is triggered, and '''0''' otherwise,
* <math>\text{Const}_\text{contact}</math> the night contact constant from {{Night Recon}} {{Equipment/Link|Type 98 Reconnaissance Seaplane (Night Recon)|Type 0 Reconnaissance Seaplane Model 11B Kai (Night Recon)|Loire 130M|text=Night Recons|link_category=Night Recon}}, its value depends on the {{Hit}} stat of the {{Night Recon}} if night contact is triggered, and '''0''' otherwise,
{|class="wikitable mw-collapsible mw-collapsed" style="text-align:center"
{{{!}}class="wikitable mw-collapsible mw-collapsed" style="text-align:center"
!colspan=2|<math>\text{Const}_\text{contact}</math>
!colspan=2{{!}}<math>\text{Const}_\text{contact}</math>
{{!}}-
!{{Hit}}
!{{Hit}}
!Contact constant
!Contact constant
{{!}}-
{{!}}1{{!}}{{!}}0.07
{{!}}-
{{!}}2{{!}}{{!}}0.14
{{!}}}
* <math>\text{Hit}_\text{cap}</math> the Hit Rate Cap defined [[#Hit Rate|above]],
* <math>\text{Hit}_\text{cap}</math> the Hit Rate Cap defined [[#Hit Rate|above]],
* <math>\text{Crit}_\text{proficiency}</math> the '''plane proficiency''' critical bonus. See ''[[Plane Proficiency#Critical Bonus|here]]'' for more details.
* <math>\text{Crit}_\text{proficiency}</math> the '''plane proficiency''' critical bonus. See ''[[Plane Proficiency#Critical Bonus|here]]'' for more details.
<references/>
<references/>
}}
===Hit Rate & Critical Roll===
===Hit Rate & Critical Roll===
!Torpedo Attacks
!Torpedo Attacks
!ASW <ref>https://twitter.com/Divinity_123/status/1453371971446743045</ref>
!ASW <ref>https://twitter.com/Divinity_123/status/1453371971446743045</ref>
!Night Battles
!Night Battles<ref>https://twitter.com/Divinity_123/status/1680199577989685251</ref>
|-
|-
|Line Ahead||1.0||1.0||1.0||1.0
|Line Ahead||1.0||1.0||1.0||1.0
|Line Abreast||1.2||0.3||1.2||0.8
|Line Abreast||1.2||0.3||1.2||0.8
|-
|-
|Vanguard (Top)||0.8||0.7||1.0||?
|Vanguard (Top)||0.8||0.7||1.0||0.8
|-
|-
|Vanguard (Bottom)||1.2||0.9||1.1||?
|Vanguard (Bottom)||1.2||0.9||1.1||1.2
|-
|-
!Colspan=5|Exception
!Colspan=5|Exception
|-
|-
|Vanguard (Top) vs DD||{{ToolTip|0.88|0.8 * 1.1}}||{{ToolTip|0.84|0.7 * 1.2}}||N/A||?
|Vanguard (Top) vs DD||{{ToolTip|0.88|0.8 * 1.1}}||{{ToolTip|0.84|0.7 * 1.2}}||N/A||{{ToolTip|0.88|0.8 * 1.1}}
|-
|-
|Vanguard (Bottom) vs DD||{{ToolTip|1.32|1.2 * 1.1}}||{{ToolTip|1.08|0.9 * 1.2}}||N/A||?
|Vanguard (Bottom) vs DD||{{ToolTip|1.32|1.2 * 1.1}}||{{ToolTip|1.08|0.9 * 1.2}}||N/A||{{ToolTip|1.32|1.2 * 1.1}}
|-
|-
|Double Line vs Line Abreast||rowspan=3|1.0||rowspan=3|-||rowspan=3|1.0||rowspan=3|-
|Double Line vs Line Abreast||rowspan=3|1.0||rowspan=3|-||rowspan=3|1.0||rowspan=3|-
!Colspan=5|Combined Fleet<ref>https://twitter.com/Divinity_123/status/1470001784009773057</ref>
!Colspan=5|Combined Fleet<ref>https://twitter.com/Divinity_123/status/1470001784009773057</ref>
|-
|-
|Combined Fleet Cruising Formation 1||?||?||1.25||?
|Combined Fleet Cruising Formation 1||0.9||?||1.25||?
|-
|-
|Combined Fleet Cruising Formation 2||1.0||1.0||?||1.0
|Combined Fleet Cruising Formation 2||1.0||1.0||?||0.9
|-
|-
|Combined Fleet Cruising Formation 3||0.8||0.4?||?||0.8
|Combined Fleet Cruising Formation 3||0.8||0.4?||?||0.7
|-
|-
|Combined Fleet Cruising Formation 4||1.1||1.2||?||1.1
|Combined Fleet Cruising Formation 4||1.1||1.2||?||1.0
|}
|}
* <math>\text{Mod}_\text{vanguard}</math> is an accuracy malus when the opposite fleet is in Vanguard formation. See ''[[#Vanguard Formation|below]]'' for more details.
* <math>\text{Mod}_\text{vanguard}</math> is an accuracy malus when the opposite fleet is in Vanguard formation. See ''[[#Vanguard Formation|below]]'' for more details.
|-
|-
|Red||0.5
|Red||0.5
|}
*<math>\text{Mod}_\text{smoke}</math> is an accuracy malus when {{Smoke}} [[Smoke Generator]]s are used.
**{{Color|red|Please note that these are initial estimations and are subject to change.}}
** It is currently unknown if the airstrike accuracy is affected by the smoke.
** Some modifiers are impossible to determine because the fleet hit the lower bound hit rate (11% hard cap).
** There are some inconsistencies between "old" and "new" enemies.
** Having a ([[Surface Radar|surface ?]]) [[radar]] equipped reduces the smoke effect for both fleets, but only for the shelling phase.
{|class="wikitable mw-collapsible mw-collapsed" style="text-align:center"
!colspan=5|<math>\text{Mod}_\text{smoke}</math><ref>https://twitter.com/Divinity_123/status/1707331554228195746</ref>
|-
!colspan=5|Day Shelling
|-
!Fleet!!Radar Equipped!!Type 1!!Type 2!!Type 3
|-
|rowspan=2|Allied
|No||< 0.3||<0.33||<0.37
|-
|Yes||0.35||0.25||< 0.37
|-
|rowspan=2|Enemy
|No||< 0.69||< 0.7||<0.7
|-
|Yes||0.91||0.83||0.75
|-
!colspan=5|Torpedo Phase
|-
!colspan=2|Fleet!!Type 1!!Type 2!!Type 3
|-
|colspan=2|Allied||0.45||0.42||0.42
|-
|colspan=2|Enemy||0.7||0.6||0.5
|-
!colspan=5|ASW
|-
|colspan=2|Allied||colspan=3|0.25
|-
|colspan=2|Enemy||colspan=3|~1.0?<ref>https://twitter.com/about6833/status/1658101370430574592</ref>
|}
|}
|
|
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.
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
|valign="center"| <math>\text{Accuracy}_\text{shelling} = \bigg\lfloor \bigg( \Big( \text{Acc}_\text{base} + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip} + \text{Mod}_\text{Amagiri} \Big) \times \text{Mod}_\text{vanguard} \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} + \text{Mod}_\text{fit} \bigg) \times \text{Mod}_\text{spotting} \times \text{Mod}_\text{AP} \times \text{Mod}_\text{smoke} \bigg\rfloor </math>
|}
;With
With:
* <math>\text{Acc}_\text{base}</math> the base accuracy value of the attack.
* <math>\text{Acc}_\text{base}</math> the base accuracy value of the attack.
| '''Combined Escort'''|| 75|| 75
| '''Combined Escort'''|| 75|| 75
|}
|}
* <math>\text{Mod}_\text{Amagiri}</math>is a bonus against [[PT boat]]:
** '''65''' for {{Ship/Link|Amagiri/Kai Ni|Amagiri/Kai Ni D|text=Amagiri Kai Ni/D}}
** '''35?''' for [[DD]] and [[DE]] adjacent to Amagiri Kai Ni/D.
** '''0''' otherwise.
* <math>\text{Mod}_\text{spotting}</math> the artillery spotting / CVCI bonus if applicable. See ''[[Combat/Artillery Spotting#Setups and Attack Types|here]]'' for more details.
* <math>\text{Mod}_\text{spotting}</math> the artillery spotting / CVCI bonus if applicable. See ''[[Combat/Artillery Spotting#Setups and Attack Types|here]]'' for more details.
|{{RedAmmo}}{{RedGunHeavy}}{{YellowGun}}{{Radar}}||1.3
|{{RedAmmo}}{{RedGunHeavy}}{{YellowGun}}{{Radar}}||1.3
|}
|}
|-
|
;Notes
;Notes
* It is '''inadvisable''' to run any of the other setups beyond the most basic Gun+AP. This is because the other set-ups will interfere with artillery spotting and cost you better attack bonuses.
* It is '''inadvisable''' to run any of the other setups beyond the most basic Gun+AP. This is because the other set-ups will interfere with artillery spotting and cost better attack bonuses.
* The bonus only applies against [[BB]], [[FBB]], [[BBV]], [[CA]], [[CAV]], [[CV]].
* The bonus only applies against [[FBB]], [[BB]], [[BBV]], [[CV]], [[CVB]], [[CA]], and [[CAV]].
** This include [[Installation]]s.
** This includes [[Installation]]s.
** This means that this bonus does not apply against CL, CLT, DD, and AV.
** This means that this bonus does not apply against all other types, namely CVL, CL(T), CT, DD, DE, SS(V), AV, AS, AR, LHA, or AP.
<references/>
<references/>
|}
|}
|
|
This formula applies to surface shelling and carrier attacks during shelling support.
This formula applies to surface shelling and carrier attacks during shelling support.
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
<math>\text{Accuracy}_\text{shelling support} = \bigg\lfloor \Big( 64 + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip base} \Big) \times \text{Mod}_\text{vanguard} \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} \bigg\rfloor </math>
|valign="center"| <math>\text{Accuracy}_\text{shelling support} = \bigg\lfloor \Big( 64 + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip base} \Big) \times \text{Mod}_\text{vanguard} \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} \bigg\rfloor </math>
|}
;With
* <math>\text{Acc}_\text{equip base}</math> does not include any [[Visible Bonus]] nor [[Improvement]].
* <math>\text{Acc}_\text{equip base}</math> does not include any [[Visible Bonus]] nor [[Improvement]].
* <math>\text{Mod}_\text{formation}</math> uses the same Day Shelling [[#Accuracy|formation modifier]] as the sortieing fleet if Single vs Single combat, or '''1.0''' if the player fleet is Combined
* <math>\text{Mod}_\text{formation}</math> uses the same Day Shelling [[#Accuracy|formation modifier]] as the sortieing fleet if Single vs Single combat, or '''1.0''' if the player fleet is Combined
|
|
This formula only applies to opening and closing torpedo attacks during day battles.
This formula only applies to opening and closing torpedo attacks during day battles.
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
|valign="center"| <math>\text{Accuracy}_\text{torpedo} = \bigg\lfloor \left( \text{Acc}_\text{base} + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip} + \left \lfloor{\frac{\text{Attack}_\text{torp}}{5}} \right \rfloor + \text{Mod}_\text{ship} \right) \times \text{Mod}_\text{vanguard} \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} \times \text{Mod}_\text{smoke} \bigg\rfloor</math>
|}
;With
With:
* <math>\text{Acc}_\text{base}</math> the base accuracy value of the attack.
* <math>\text{Acc}_\text{base}</math> the base accuracy value of the attack.
|
|
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.
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.
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
|valign="center"| <math>\text{Accuracy}_\text{airstrike} = \text{Acc}_\text{base}</math>
|}
;With
* <math>\text{Acc}_\text{base}</math> the base accuracy value of the attack.
* <math>\text{Acc}_\text{base}</math> the base accuracy value of the attack.
{|class="wikitable mw-collapsible mw-collapsed" style="text-align:center; margin:auto"
{|class="wikitable mw-collapsible mw-collapsed" style="text-align:center; margin:auto"
|Player Escort||75||70<ref name="*"/>
|Player Escort||75||70<ref name="*"/>
|}
|}
|-
|
;Notes
;Notes
* Airstrike accuracy is a constant and '''not affected''' by any outside factors.
* Airstrike accuracy is a constant and '''not affected''' by any outside factors.
|
|
This formula applies to all ASW attacks in the combat phase and support.
This formula applies to all ASW attacks in the combat phase and support.
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
|valign="center"| <math>\text{Accuracy}_\text{ASW} = \bigg\lfloor \left( 80 + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\bigstar + 2 \times \sum \text{ASW}_\text{sonar} \right) \times \text{Mod}_\text{vanguard}? \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} \times \text{Mod}_\text{synergy} \times \text{Mod}_\text{smoke} \bigg\rfloor</math>
|}
;With
With:
* <math>\text{Acc}_\bigstar</math> the {{Hit}} "ASW accuracy" given from [[Improvement]] ({{Sonar}} [[Sonar]] only)
* <math>\text{Acc}_\bigstar</math> the {{Hit}} "ASW accuracy" given from [[Improvement]] ({{Sonar}} [[Sonar]] only)
* <math>\text{ASW}_\text{sonar}</math> the '''base''' ASW stat of any {{Small Sonar}} [[Small Sonar]]s equipped.
* <math>\text{ASW}_\text{sonar}</math> the '''base''' ASW stat of any {{Small Sonar}} [[Small Sonar]]s equipped.
* <math>\text{Mod}_\text{synergy}</math> the synergy bonus from equipping certain combinations of ASW equipment.
* <math>\text{Mod}_\text{synergy}</math> the synergy bonus from equipping certain combinations of ASW equipment.
** Synergy bonus is either currently bugged or so small it cannot be tested.
** Synergy bonus is either currently bugged or so small it cannot be tested.
|-
|
;Notes
;Notes
* The base {{Hit}} accuracy stat of the equipment is '''not''' included here.
* The base {{Hit}} accuracy stat of the equipment is '''not''' included here.
|
|
This formula applies to '''all''' night battle attacks.
This formula applies to '''all''' night battle attacks.
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
|valign="center"| <math>\text{Accuracy}_\text{NB} = \bigg\lfloor \bigg( \text{Mod}_\text{contact} \times \Big( 69 + \text{Mod}_\text{star shell} \Big) + 2 \times \sqrt{\text{Level}} + 1.5 \times \sqrt{\text{Luck}} + \sum_{\text{All Equips}} \text{Acc}_\text{equip} \bigg) \times \text{Mod}_\text{vanguard} \times \text{Mod}_\text{formation} \times \text{Mod}_\text{morale} \times \text{Mod}_\text{CI} + \text{Mod}_\text{searchlight} + \text{Mod}_\text{fit} \bigg\rfloor</math>
|}
;With
With:
* <math>\text{Mod}_\text{contact}</math> the modifier of the Night contact, its value depends on the {{Hit}} stat of the {{Night Recon}} {{Equipment/Link|Type 98 Reconnaissance Seaplane (Night Recon)|Type 0 Reconnaissance Seaplane Model 11B Kai (Night Recon)|Loire 130M|text=Night Recon|link_category=Night Recon}}.
* <math>\text{Mod}_\text{contact}</math> the modifier of the Night contact, its value depends on the {{Hit}} stat of the {{Night Recon}} {{Equipment/Link|Type 98 Reconnaissance Seaplane (Night Recon)|Type 0 Reconnaissance Seaplane Model 11B Kai (Night Recon)|Loire 130M|text=Night Recon|link_category=Night Recon}}.
|2||1.15
|2||1.15
|}
|}
* <math>\text{Mod}_\text{star shell}</math> being '''5.0''' if a {{StarShell}} {{EquipmentLink|Star Shell}} is triggered, '''0''' otherwise.
* <math>\text{Mod}_\text{star shell}</math> being '''5.0''' if a {{StarShell}} {{EquipmentLink|Star Shell}} or a [[Combat/Night_Battle#"New_Type"_Cut-ins|Night Zuiun CI]] is triggered, '''0''' otherwise.
**The effects of the {{StarShell}} {{EquipmentLink|Star Shell}} and the [[Combat/Night_Battle#"New_Type"_Cut-ins|Night Zuiun CI]] '''do NOT''' stack.
**Effects apply only after the [[Combat/Night_Battle#"New_Type"_Cut-ins|Night Zuiun CI]] triggered.
* <math>\text{Mod}_\text{searchlight}</math> being '''7.0''' if a {{Searchlight}} {{EquipmentLink|Searchlight|Type 96 150cm Searchlight|text=Searchlight|link_category=Searchlight}} is triggered, '''0''' otherwise,
* <math>\text{Mod}_\text{searchlight}</math> being '''7.0''' if a {{Searchlight}} {{EquipmentLink|Searchlight|Type 96 150cm Searchlight|text=Searchlight|link_category=Searchlight}} is triggered, '''0''' otherwise,
* <math>\text{Mod}_\text{special}</math> the night battle special attack modifier. See ''[[Night Battle]]'' for more details.
* <math>\text{Mod}_\text{CI}</math> the night battle special attack modifier. See ''[[Night Battle]]'' for more details.
** Multipliers for DD and carrier cut-ins are unknown.
** Multipliers for carrier cut-ins are unknown.
{|class="wikitable mw-collapsible mw-collapsed" style="text-align:center"
{|class="wikitable mw-collapsible mw-collapsed" style="text-align:center"
!colspan=3|<math>\text{Mod}_\text{special}</math>
!colspan=3|<math>\text{Mod}_\text{CI}</math>
|-
!colspan=3|"New" Cut-ins
|-
!Attack Type
!Prerequisites
!Accuracy<br>Modifier
|-
!style="background-color:#ff7f50; color:black" rowspan=4|Destroyer Cut-ins
|{{TorpedoWeapon}}{{RedGunLight}}{{Surface Radar}}
|1.1
|-
|{{TorpedoWeapon}}{{Surface Radar}}{{SurfaceShipPersonnel}}
|1.2~?
|-
|{{TorpedoWeapon}}{{TorpedoWeapon}}{{Equipment/Card|Torpedo Squadron Skilled Lookouts|size=40px}}
|1.37~?
|-
|{{TorpedoWeapon}}{{Drum}}{{Equipment/Card|Torpedo Squadron Skilled Lookouts|size=40px}}
|?
|-
!style="background-color:#9370db; color:black" rowspan=4|Night Zuiun Cut-ins
|{{RedGunHeavy}}{{RedGunHeavy}}{{Night SPB}}{{Night SPB}}{{Surface Radar}}
|rowspan=4|1.02~1.11
|-
|{{RedGunHeavy}}{{RedGunHeavy}}{{Night SPB}}{{Night SPB}}
|-
|{{RedGunHeavy}}{{RedGunHeavy}}{{Night SPB}}{{Surface Radar}}
|-
|{{RedGunHeavy}}{{RedGunHeavy}}{{Night SPB}}
|-
!colspan=3|"Old" Cut-ins
|-
|-
!Attack Type
!Attack Type
!style="background-color:#ff7f50; color:black"|Gun Cut-in
!style="background-color:#ff7f50; color:black"|Gun Cut-in
|nowrap|{{RedGunHeavy}}{{RedGunHeavy}}{{RedGunHeavy}}
|nowrap|{{RedGunHeavy}}{{RedGunHeavy}}{{RedGunHeavy}}
|2
|2<ref name="vita">From vita version, may have changed</ref>
|-
|-
!style="background-color:#ff7f50; color:black"|Mixed Gun Cut-in
!style="background-color:#ff7f50; color:black"|Mixed Gun Cut-in
|{{RedGunHeavy}}{{RedGunHeavy}}{{YellowGun}}
|{{RedGunHeavy}}{{RedGunHeavy}}{{YellowGun}}
|1.5
|1.5<ref name="vita"/>
|-
|-
!style="background-color:#59f; color:black" rowspan=2|Submarine Cut-ins
!style="background-color:#59f; color:black" rowspan=2|Submarine Cut-ins
!style="background-color:#59f; color:black"|Torpedo Cut-in
!style="background-color:#59f; color:black"|Torpedo Cut-in
|{{TorpedoWeapon}}{{TorpedoWeapon}}
|{{TorpedoWeapon}}{{TorpedoWeapon}}
|1.65
|1.5
|-
|-
!style="background-color:#59f; color:black"|Mixed Torpedo Cut-in
!style="background-color:#59f; color:black"|Mixed Torpedo Cut-in
|{{TorpedoWeapon}}{{RedGunHeavy}}
|{{TorpedoWeapon}}{{RedGunHeavy}}
|1.5
|1.5<ref name="vita"/>
|-
|-
!style="background-color:gold; color:black" rowspan=3|Double Attack
!style="background-color:gold; color:black" rowspan=3|Double Attack
|{{YellowGun}}{{YellowGun}}
|{{YellowGun}}{{YellowGun}}
|}
|}
<references/>
|}
|}
='''Evasion'''=
='''Evasion'''=
Evasion has two caps depending on the calculated base evasion of the ship. Base evasion is calculated as follows:
Evasion has two caps depending on the calculated base evasion of the ship. Base evasion is calculated as follows:
{|class="wikitable mw-collapsible mw-collapsed" width="100%"
{|class="wikitable mw-collapsible mw-collapsed" width="100%"
!Evasion
!colspan=2|Evasion
|-
|-
!width=20px|<div style=writing-mode:vertical-rl;transform:rotate(180deg); text-align:left;>Pre-cap</div>
|
|
<math>\text{Evasion}_\text{pre-cap} = \bigl\lfloor \left( \text{Evasion}_\text{ship} + \sqrt{2\text{Luck}} \right) \times \text{Mod}_\text{formation} \bigr\rfloor</math>
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
|valign="center"| <math>\text{Evasion}_\text{pre-cap} = \bigl\lfloor \left( \text{Evasion}_\text{ship} + \sqrt{2\text{Luck}} \right) \times \text{Mod}_\text{formation} \bigr\rfloor</math>
|}
With:
;With
* <math>\text{Evasion}_\text{ship}</math> the displayed evasion {{Evasion}} of the ship, '''including''' any equipment stats and [[Visible Bonus]]es.
* <math>\text{Evasion}_\text{ship}</math> the displayed evasion {{Evasion}} of the ship, '''including''' any equipment stats and [[Visible Bonus]]es.
* <math>\text{Mod}_\text{formation}</math> the formation modifier. It varies based on the attack being received. Please see [[Combat#Formation Selection|Combat]] for more details.
* <math>\text{Mod}_\text{formation}</math> the formation modifier. It varies based on the attack being received. Please see [[Combat#Formation Selection|Combat]] for more details.
** Vanguard's modifier is '''1.0''' if assuming values described in [[#Vanguard Formation|Vanguard Formation]]
** Vanguard's modifier is '''1.0''' if assuming values described in [[#Vanguard Formation|Vanguard Formation]]
{|class="wikitable mw-collapsible mw-collapsed"
!colspan=5|<math>\text{Mod}_\text{formation}</math>
|-
!Formation
!Day Shelling &<br>Carrier Attacks
!Torpedo Attacks
!ASW
!Night Battles<ref>https://twitter.com/Divinity_123/status/1680199577989685251</ref>
|-
|Line Ahead||1.0||1.0||1.0||1.0
|-
|Double Line||1.0||1.0||1.0||1.0
|-
|Diamond||1.1||1.1||1.0||1.0
|-
|Echelon||1.4||1.3||1.4||1.3
|-
|Line Abreast||1.3||1.4||1.1||1.2
|-
|Vanguard (Top)||?||?||?||?
|-
|Vanguard (Bottom)||?||?||?||?
|-
!Colspan=5|Exception
|-
|Echelon (vs combined)||1.2||1.3||1.3||1.1
|-
!Colspan=5|Combined Fleet
|-
|Combined Fleet Cruising Formation 1||?||?||1.0||?
|-
|Combined Fleet Cruising Formation 2||?||?||?||?
|-
|Combined Fleet Cruising Formation 3||?||?||1.0||1.1
|-
|Combined Fleet Cruising Formation 4||?||?||1.0||1.0
|}
|-
!width=20px|<div style=writing-mode:vertical-rl;transform:rotate(180deg); text-align:left;>Cap</div>
|
The evasion is then capped as follows:
The evasion is then capped as follows:
{|class="wikitable" style="text-align:center"
{|class="wikitable" style="text-align:center"
| ≥ 65|| <math>\lfloor55 + 2\sqrt{\text{Evasion}_\text{pre-cap} - 65}\rfloor</math>
| ≥ 65|| <math>\lfloor55 + 2\sqrt{\text{Evasion}_\text{pre-cap} - 65}\rfloor</math>
|}
|}
|-
!width=20px|<div style=writing-mode:vertical-rl;transform:rotate(180deg); text-align:left;>Post-cap</div>
|
Capped evasion is then modified by post-cap modifiers:
Capped evasion is then modified by post-cap modifiers:
{|style="padding:10px; margin:20px; border:1px solid orange; border-radius:10px"
|valign="center"| <math>\text{Evasion}_\text{post-cap} = \biggl\lfloor \text{Mod}_\text{searchlight} \times \left( \text{Evasion}_\text{cap} + \text{Mod}_\text{sonar} + \text{Mod}_\text{CA} + \text{Mod}_\text{DD} - \text{Mod}_\text{fuel} \right) \biggr\rfloor</math>
|}
;With
With:
* <math>\text{Mod}_\text{searchlight}</math> the {{Searchlight}} {{EquipmentLink|Searchlight|Type 96 150cm Searchlight|text=Searchlights|link_category=Searchlights}} evasion penalty. It is '''0.2''' for any ship equipped with a searchlight (even if not triggered) and '''1.0''' otherwise.
* <math>\text{Mod}_\text{searchlight}</math> the {{Searchlight}} {{EquipmentLink|Searchlight|Type 96 150cm Searchlight|text=Searchlights|link_category=Searchlights}} evasion penalty. It is '''0.2''' for any ship equipped with a searchlight (even if not triggered) and '''1.0''' otherwise.
* <math>\text{Mod}_\text{sonar}</math> the {{Evasion}} gained from {{Sonar}} [[Sonar]]s' [[Improvement]]s, that '''only applies to''' opening and closing torpedo attacks. It is '''0''' otherwise.
* <math>\text{Mod}_\text{sonar}</math> the {{Evasion}} gained from {{Sonar}} [[Sonar]]s' [[Improvement]]s, that '''only applies to''' opening and closing torpedo attacks. It is '''0''' otherwise.
* Evasion term can be '''negative''' with the fuel penalty.
* Evasion term can be '''negative''' with the fuel penalty.
* The speed of the fleet is supposed to play a role in evasion. Currently, said increase is either nonexistent or too small to test,
* 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}} {{EquipmentLink|Underway Replenishment}} is a way to mitigate fuel penalties,
* {{SubmarineRadar}} [[Submarine Equipment]] provide an evasion bonus to submarines against [[ASW]] attacks (around 1.2),
* Using {{Supplies}} {{EquipmentLink|Underway Replenishment}} is a way to mitigate fuel penalties,
* Because of the evasion cap, trying to increase evasion above 65 has negligible effects,
* Because of the evasion cap, trying to increase evasion above 65 has negligible effects,
* As most ships are capable of reaching 65 {{Evasion}}, trying to increase evasion using pre-cap means has little to no effect, this includes:
* As most ships are capable of reaching 65 {{Evasion}}, trying to increase evasion using pre-cap means has little to no effect, this includes:
** Increasing the {{Evasion}} (e.g. with boilers, even if improved),
** Increasing the {{Evasion}} (e.g. with boilers, even if improved),
** [[Modernization#Luck Modernization|Luckmodding]] {{Luck}},
** [[Luckmod]]ding {{Luck}},
** Choosing a weaker formation with an evasion bonus (except for [[Vanguard]]).
** Choosing a weaker formation with an evasion bonus (except for [[Vanguard]]).
* Historical evasion exists but is not measured due to the limited-time nature of events.
* [[Events]] often have "historical evasion bonuses" alongside other historical bonuses, but are not always measured due to their limited-time nature.
='''Special Cases'''=
='''Special Cases'''=
!colspan=4|<math>\text{Mod}_\text{vanguard}</math><ref>https://twitter.com/Divinity_123/status/1566375780380282882</ref>
!colspan=4|<math>\text{Mod}_\text{vanguard}</math><ref>https://twitter.com/Divinity_123/status/1566375780380282882</ref>
|-
|-
!colspan=4|Shelling Phase
!colspan=4|Shelling Phase and Night Battle
|-
|-
|Fleet Position
|Fleet Position
|-
|-
!colspan=4|ASW
!colspan=4|ASW
|-
|-
|colspan=4|''?
|colspan=4|''?
*This idea comes from a misinterpretation of an ambiguous tweet by the devs [https://twitter.com/kancolle_staff/status/380238803090145280].
*This idea comes from a misinterpretation of an ambiguous tweet by the devs [https://twitter.com/kancolle_staff/status/380238803090145280].
==PT Imps==
==[[PT boat]]s==
{{Anti-PT Imp Setups|uncollapsed=true}}
{{Anti-PT Imp Setups|uncollapsed=true}}