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<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>
 
<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>
   −
* <math>\text{Evasion}_\text{ship}</math> is the evasion {{Evasion}} of the ship '''including''' any visible equipment bonuses.
+
With:
* <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.
+
* <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.
 
** Currently modifiers for Vanguard are unknown.
 
** Currently modifiers for Vanguard are unknown.
    
The evasion is then capped as follows:
 
The evasion is then capped as follows:
 
+
{|class="wikitable" style="text-align:center"
* <math>\text{Evasion}_\text{base} < 40: \text{Evasion}_\text{cap} = \text{Evasion}_\text{pre-cap}</math>
+
!<math>\text{Evasion}_\text{base}</math>
* <math>40 < \text{Evasion}_\text{base} < 65: \text{Evasion}_\text{cap} = \lfloor 40 + 3\sqrt{\text{Evasion}_\text{pre-cap} - 40} \rfloor</math>
+
!<math>\text{Evasion}_\text{cap}</math>
* <math>\text{Evasion}_\text{base} > 65: \text{Evasion}_\text{cap} = \lfloor55 + 2\sqrt{\text{Evasion}_\text{pre-cap} - 65}\rfloor</math>
+
|-
 +
| < 40|| <math>\text{Evasion}_\text{pre-cap}</math>
 +
|-
 +
| > 40 & < 65|| <math>\lfloor 40 + 3\sqrt{\text{Evasion}_\text{pre-cap} - 40} \rfloor</math>
 +
|-
 +
| > 65|| <math>\lfloor55 + 2\sqrt{\text{Evasion}_\text{pre-cap} - 65}\rfloor</math>
 +
|}
    
Capped evasion is then modified by post-cap modifiers:
 
Capped evasion is then modified by post-cap modifiers:
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<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>
 
<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>
   −
* <math>\text{Mod}_\text{searchlight}</math> is 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.
+
With:
* <math>\text{Mod}_\text{sonar}</math> is the {{Sonar}} [[Sonars]] [[Improvement]] modifier that '''only applies to''' opening and closing torpedo attacks. It is '''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 {{Sonar}} [[Sonars]] [[Improvement]] modifier that '''only applies to''' opening and closing torpedo attacks. It is '''0''' 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 [[CA]]/[[CAV]] night battle evasion bonus. It is '''5''' for heavy/aviation cruisers and '''0''' otherwise.
+
* <math>\text{Mod}_\text{CA}</math> the [[CA]]/[[CAV]] night battle evasion bonus. It is '''5''' for heavy/aviation cruisers and '''0''' otherwise.
* <math>\text{Mod}_\text{DD}</math> is the [[DD]] night battle evasion bonus. If the DD is equipped with a {{Surface Radar}} [[Surface Radar]] '''AND''' a {{SurfaceShipPersonnel}} {{EquipmentLink|Skilled Lookouts|Torpedo Squadron Skilled Lookouts|text=Skilled Lookout|link_category=Surface Ship Personnel}}, then it is '''10'''.
+
* <math>\text{Mod}_\text{DD}</math> the [[DD]] night battle evasion bonus. If the DD is equipped with a {{Surface Radar}} [[Surface Radar]] '''AND''' a {{SurfaceShipPersonnel}} {{EquipmentLink|Skilled Lookouts|Torpedo Squadron Skilled Lookouts|text=Skilled Lookout|link_category=Surface Ship Personnel}}, then it is '''10'''.
* <math>\text{Mod}_\text{fuel}</math> is the remaining fuel penalty.
+
* <math>\text{Mod}_\text{fuel}</math> the remaining fuel penalty:
 
** <math>\text{Mod}_\text{fuel} = 75 - \text{Fuel}</math>
 
** <math>\text{Mod}_\text{fuel} = 75 - \text{Fuel}</math>
 
** If fuel is above 75%, the penalty is 0.  
 
** If fuel is above 75%, the penalty is 0.  
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