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→Evasion Formulas
=Evasion Formulas=
=Evasion Formulas=
Evasion has several caps depending on the calculated base evasion of the ship. Base evasion is calculated as follows:
Evasion has several caps depending on the calculated base evasion of the ship. Base evasion is calculated as follows:
* <math>\text{Evasion}_\text{ship}</math> is the evasion of the ship '''including''' any visible equipment bonuses.
* <math>\text{Evasion}_\text{ship}</math> is the evasion of the ship '''including''' any visible equipment bonuses.
* <math>\text{Mod}_\text{formation}</math> is the formation modifier. It varies based on the attack being received. Please see [[Combat#Formation_Modifier|Combat]] for more details.
* <math>\text{Mod}_\text{formation}</math> is the formation modifier. It varies based on the attack being received. Please see [[Combat#Formation Selection|Combat]] for more details.
** Currently modifiers for Vanguard are unknown.
** Currently modifiers for Vanguard are unknown.
* <math>40 < \text{Evasion}_\text{base} < 65: \text{Evasion}_\text{cap} = \lfloor 40 + 3\sqrt{\text{Evasion}_\text{base} - 40} \rfloor</math>
* <math>40 < \text{Evasion}_\text{base} < 65: \text{Evasion}_\text{cap} = \lfloor 40 + 3\sqrt{\text{Evasion}_\text{base} - 40} \rfloor</math>
* <math>\text{Evasion}_\text{base} > 65: \text{Evasion}_\text{cap} = \lfloor55 + 2\sqrt{\text{Evasion}_\text{base} - 65}\rfloor</math>
* <math>\text{Evasion}_\text{base} > 65: \text{Evasion}_\text{cap} = \lfloor55 + 2\sqrt{\text{Evasion}_\text{base} - 65}\rfloor</math>
Capped evasion is then modified by post-cap modifiers:
Capped evasion is then modified by post-cap modifiers:
<math>\text{Evasion %} = \biggl\lfloor \text{Mod}_\text{searchlight} \times \left( \text{Evasion}_\text{cap} + \text{Mod}_\text{sonar} + \text{Mod}_\text{CA} + \text{Mod}_\text{vanguard} - \text{Mod}_\text{fuel} \right) \biggr\rfloor</math>
<math>\text{Evasion %} = \biggl\lfloor \text{Mod}_\text{searchlight} \times \left( \text{Evasion}_\text{cap} + \text{Mod}_\text{sonar} + \text{Mod}_\text{CA} + \text{Mod}_\text{vanguard} - \text{Mod}_\text{fuel} \right) \biggr\rfloor</math>
* <math>\text{Mod}_\text{searchlight}</math> is the searchlight evasion penalty. It is <math>0.2</math> for any ship equipped with a searchlight (even if not triggered) and <math>1.0</math> otherwise.
* <math>\text{Mod}_\text{searchlight}</math> is the searchlight evasion penalty. It is '''0.2''' for any ship equipped with a searchlight (even if not triggered) and <math>1.0</math> otherwise.
* <math>\text{Mod}_\text{sonar}</math> is the sonar improvement modifier that '''only applies to''' opening and closing torpedo attacks. It is <math>0</math> otherwise.
* <math>\text{Mod}_\text{sonar}</math> is the sonar improvement modifier that '''only applies to''' opening and closing torpedo attacks. It is <math>0</math> otherwise.
** <math>\text{Mod}_\text{sonar} = \sum_{\text{All Sonars}} 1.5\sqrt{\bigstar}</math>
** <math>\text{Mod}_\text{sonar} = \sum_{\text{All Sonars}} 1.5\sqrt{\bigstar}</math>
* <math>\text{Mod}_\text{CA}</math> is the heavy/aviation cruiser night battle evasion bonus. It is <math>5</math> for heavy/aviation cruisers and <math>0</math> otherwise.
* <math>\text{Mod}_\text{CA}</math> is the heavy/aviation cruiser night battle evasion bonus. It is '''5''' for heavy/aviation cruisers and <math>0</math> otherwise.
* <math>\text{Mod}_\text{vanguard}</math> is the Vanguard evasion bonus. This is different from the formation modifier that gets taken into account for base evasion. Bonuses are:
* <math>\text{Mod}_\text{vanguard}</math> 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 ships at the top (slots 1-2 or 1-3): Non-destroyers get a 5% bonus. Destroyers get a 20% bonus.
** The penalty is an integer and not a percentage.
** The penalty is an integer and not a percentage.
{| class="wikitable"
{|class="wikitable" style="text-align:center"
|+ Remaining Fuel Penalty
|+ Remaining Fuel Penalty
|-
|-
!style="text-align: center; border-radius: 6px 0 0 0; border-style: solid; border-width: 1px; width:64px;"|Remaining Fuel
!Battle #<ref>This only takes into account normal day battles. Special nodes have different resource consumption.</ref>
!Remaining Fuel!!Penalty
!style="text-align: center; border-radius: 0 6px 0 0; border-style: solid; border-width: 1px; width:32px;"|Penalty
|-
|-
|style="text-align: center; border-style: solid; border-width: 1px;"|60%
|2nd Battle||80%||0
|style="text-align: center; border-style: solid; border-width: 1px;"|15
|-
|-
|style="text-align: center; border-style: solid; border-width: 1px;"|40%
|3rd Battle||60%||15
|style="text-align: center; border-style: solid; border-width: 1px;"|35
|-
|-
|style="text-align: center; border-style: solid; border-width: 1px;"|20%
|4th Battle||40%||35
|style="text-align: center; border-style: solid; border-width: 1px;"|55
|-
|-
|style="text-align: center; border-style: solid; border-width: 1px;"|0%
|5th Battle||20%||55
|style="text-align: center; border-style: solid; border-width: 1px;"|75
|-
|-
|}<references/>
|6th+ Battle||0%||75
|}
<references/>
{{clear}}
{{clear}}
'''Notes:'''
'''Important 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.
* 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 medigate fuel penalties.
=Special Cases=
=Special Cases=