User:Ninnin/Sandbox/1

Calculation

Installations generally have a lot of HP and/or armor. But multiple different cumulative bonuses exist against them, allowing for massive damage when using the right set-ups. These bonuses are divided into 5 groups and are calculated in the following order[1]:

  1. Ship type bonuses
  2. General multiplicative bonuses
  3. Specific equipment bonuses:
    1. 11th regiment bonuses
    2. M4A1 bonuses
    3. Ho-Ni bonuses
    4. Landing craft synergy bonuses
  4. General Flat bonuses
  5. Post-cap bonuses against Supply Depot Princess 
  6. Airstrike and Land Base special cases
  7. "Installation-like warships" special cases
  • The bonuses' exact order is still under investigation and may be subject to changes.
Damage Bonuses Calculations
Pre-cap

Surface Shelling:

[math]\displaystyle{ \text{Atk}_\text{pre-cap} = \Bigg[ \Bigg( \bigg[ \bigg( \Big[ \Big( \big[ \big( [ ( \text{Atk}_\text{base} {\color{tomato} \times \text{A0}} {\color{DeepSkyBlue} + \text{B0}} ) {\color{tomato} \times \text{A1}} {\color{DeepSkyBlue}} ] {\color{tomato} \times \text{A21}} {\color{DeepSkyBlue} + \text{B21}} \big) {\color{tomato} \times \text{A22}} {\color{DeepSkyBlue} + \text{B22}} \big] {\color{tomato} \times \text{A23}} {\color{DeepSkyBlue} + \text{B23}} \Big) {\color{tomato} \times \text{A24}} {\color{DeepSkyBlue} + \text{B24}} \Big] {\color{tomato} \times \text{A25}} {\color{DeepSkyBlue} + \text{B25}} \bigg) {\color{tomato} \times \text{A26}} {\color{DeepSkyBlue} + \text{B26}} \bigg] {\color{tomato} \times \text{A27}} {\color{DeepSkyBlue} + \text{B27}} \Bigg) {\color{tomato} \times \text{A28}} {\color{DeepSkyBlue} + \text{B28} + \text{B1}} \Bigg] \times \text{Mod}_\text{others} }[/math]


Carrier Shelling:

[math]\displaystyle{ \text{Atk}_\text{pre-cap} = \Bigg[ \Bigg( \bigg[ \bigg( \Big[ \Big( \big[ \big( [ ( \text{Atk}_\text{base} {\color{tomato} \times \text{A0} \times \text{A1}} ) {\color{tomato} \times \text{A21}} {\color{DeepSkyBlue} + \text{B21}} ] {\color{tomato} \times \text{A22}} {\color{DeepSkyBlue} + \text{B22}} \big) {\color{tomato} \times \text{A23}} {\color{DeepSkyBlue} + \text{B23}} \big] {\color{tomato} \times \text{A24}} {\color{DeepSkyBlue} + \text{B24}} \Big) {\color{tomato} \times \text{A25}} {\color{DeepSkyBlue} + \text{B25}} \Big] {\color{tomato} \times \text{A26}} {\color{DeepSkyBlue} + \text{B26}} \bigg) {\color{tomato} \times \text{A27}} {\color{DeepSkyBlue} + \text{B27}} \bigg] {\color{tomato} \times \text{A28}} {\color{DeepSkyBlue} + \text{B28} + \text{B1}} +(\text{DB} \times 1.3) + 15 \Bigg) \times 1.5 +25 \Bigg] \times \text{Mod}_\text{others} }[/math]
Cap
[math]\displaystyle{ \text{Atk}_\text{cap} = \text{Cap} + \sqrt{\text{Atk}_\text{pre-cap} - \text{Cap}} }[/math]
Post-Cap
[math]\displaystyle{ \text{Atk}_\text{post-cap} = \text{Atk}_\text{cap} \times \text{Mod}_\text{others} {\color{tomato} \times \text{C}} {\color{tomato} \times \text{C1} \times \text{Mod}_\text{Inst}} \times_\downarrow \text{Crit} }[/math]
With
  • [math]\displaystyle{ \text{Atk}_\text{base} }[/math] the base attack deffined here,
  • A & C the Multiplicative bonuses,
  • B the Flat bonuses,
  • A & B being pre-cap bonuses,
  • C being post-cap bonuses.
  • [math]\displaystyle{ \text{Mod}_\text{others} }[/math] being all other modifiers unrelated to installation (see Damage Calculations for more details)
  • [math]\displaystyle{ \text{DB} }[/math] being the   bombing stat of Anti-installation Dive Bomber only
  • [math]\displaystyle{ \text{Cap} }[/math] is:
    • 220 during day,
    • 360 during night.

Bonuses

Ship Type Bonuses

Ship Type Target Bonuses
A0 DD, CL Pillboxes 
 
 
 
1.4
Akagi, Hiryuu, Souryuu[1]   1.25
B0 SS, SSV All installation 30
  1. Kaga has been tested and no bonus has been found against the Harbour Summer Princess.

General Multiplicative Bonuses

These bonuses depend on the enemy targeted, as well as the equipment used.

A1[1]
Installation Type Soft-Skinned Hard-Skinned
  Pillboxes 
 
 
 
 
Isolated Island Princess Pillboxes Harbour Summer Princess
Number Equipped Single Multiple Single Multiple Single Multiple Single Multiple
  AA Shells 
 
 
2.5 1.75 1.75
  AP Shells 
 
 
1.85 1.3
  WG42 (Wurfgerät 42)  1.3 1.4 1.4 1.5 1.6 1.7 1.4 1.2
Type 4 Anti-Ground Rockets 
 
1.25 1.5 1.3 1.65 1.5 1.8 1.25 1.4
 Other ASW Mortars 
 
1.2 1.3 1.2 1.4 1.3 1.5 1.1 1.15
  Dive Bombers 1.4 1.75 1.5 2 1.3 1.2
 Bomber  Seaplane Bombers/Fighters 1.2 1.5 1.3
  Landing Craft Type and
  Ka-Tsu Type Multiplier
1.4 1.8 1.8 1.7
 
 
Toku Daihatsu 
Toku DLC + Panzer III [2]
Toku DLC + Panzer III J 
1.15 1.15 1.15 1.2
DLC + T89 Tank 
Toku DLC + Ho-Ni Tank 
Toku DLC + Panzer III [2]
Toku DLC + Panzer III J 
1.5 1.3 1.2 1.4 1.5 1.4 1.6 1.5
Toku DLC + Chi-Ha [3]
Toku DLC + Chi-Ha Kai [4]
DLC + Panzer II  1.5 1.3 1.2 1.4 1.5 1.4 1.6 1.5
M4A1 DD 
Toku DLC + Chi-Ha Kai [4]
Toku DLC + Panzer III J 
1.1 1.8 2.0 2.0
☀ Day Only

Armed Daihatsu 
Soukoutei 

1.1 1.1 1.3 1.1 1.3 1.2 1.5 1.1
☀ Day Only

Ka-Tsu Tank 
Ka-Tsu Tank Kai 

  Ka-Mi Tank  1.5 1.2 2.4 1.35 2.4 1.35 2.8 1.5
Ka-Tsu Tank Kai [5]
  Landing Forces Unknown yet
   
Improvement
  Landing Craft &
  Ka-Tsu Tanks 
 
1 + (Average DLC   /50) + (Average Ka-Tsu   /50)
  Ka-Mi Tank  1 + (Average   /30)
  Landing Forces Unknown yet
Notes
  • The Improvement Bonus takes the average for all Landing Craft equipped on the ship.
  • The Improvement Bonus takes the average for all Special Amphibious Tanks equipped on the ship.
  1. Last time updated: 21/03/2024, source:https://bbs.nga.cn/read.php?tid=33769345&rand=868
  2. 2.0 2.1 https://twitter.com/Divinity_123/status/1695813425660661965
  3. For example: vs Soft-Skin, 1 Chi-Ha  = no bonus, 2 Chi-Ha  = 1.3 (1.95/1.5), 1 T89  + 1 Chi-Ha  = 1.95
  4. 4.0 4.1 https://docs.google.com/document/d/1y8kisQTFuAd57GFAQRpJzPOEk9kpUzoEf1sxmnywx3A/edit#heading=h.hycuzmt5tebu, TsunDB, confirmed except Harbour Summer Princess
  5. In this case the Ka-Tsu Kai count as two, 1 Ka-Tsu Kai = 1.2

Landing Craft Specific Bonuses

The following multipliers are pre-cap.

Equipment Multiplicative bonuses Flat Bonuses
Toku DLC Tank Bonus A21 B21

 Toku DLC + 11th Reg 
 Toku DLC + Ho-Ni Tank 
 Toku DLC + Panzer III 
 Toku DLC + Panzer III J 

1.8 25
Sherman Bonus A22 B22
 M4A1 DD  1.4 35
Ho-Ni Tank Regiment Bonus A23 B23
 Toku DLC + Ho-Ni Tank  1.3 42
Chi-Ha (non-Kai) Bonus A24 B24
 Toku DLC + Chi-Ha  1.4 28
Chi-Ha Kai Bonus A25 B25
 Toku DLC + Chi-Ha Kai  1.5 33
Katsu Bonus A26 B26
 Ka-Tsu 
 Ka-Tsu Kai 
1.2 42
Katsu Kai Bonus A27 B27
 Ka-Tsu Kai  1.1 28
Armored Boats Synergy Bonus[1] A28 B28
 Armed Daihatsu 
 Soukoutei 
Group 1
 
Daihatsu Landing Craft
 
Toku Daihatsu Landing Craft

 
Daihatsu Landing Craft (Type 89 Medium Tank & Landing Force)
 
Toku Daihatsu Landing Craft + Type 1 Gun Tank

 
Daihatsu Landing Craft (Panzer II/North African Specification)
 
Special Type 4 Amphibious Tank

 
Special Type 4 Amphibious Tank Kai
Group 2
 
Toku Daihatsu Landing Craft + 11th Tank Regiment
 
Toku Daihatsu Landing Craft + Panzer III (North African Specification)

 
Toku Daihatsu Landing Craft + Chi-Ha
 
Toku Daihatsu Landing Craft + Chi-Ha Kai

 
Toku Daihatsu Landing Craft + Panzer III Ausf. J
 
Special Type 2 Amphibious Tank
Only one[2] 1 of Any 1.2 10
Both 1 0 1.3 15
0 1 1.4 20
2 of any 1.5 25
  1. https://twitter.com/oxke_admiral/status/1642326265364615168?cxt=HHwWgMDQxa7C28otAAAA
  2. Due to some bug using 2 Soukoutei or 2 Armed Daihatsu cancel the bonuses

Flat Damage Bonuses

B1
Amount Equipped 1 2 3 4+
  WG42  75 110 140 160
Type 4 Anti-Ground Rockets  55 115 160 190
Type 4 Anti-Ground Rockets CD  80 170 230 260
 Other ASW Mortar  30 55 75 90
ASW Mortar CD  60 110 150 180

Post-Cap Bonus

Supply Depot Princess

Supply Depot Princess  and its variants are currently the only installations to have post-cap bonuses.

  • These bonuses are applied after the damage soft-cap, and can reach the damage display cap of 9999.
    • If the damage displayed is 9999, the actual damage can be higher.
  • Supply Depot Princess is a soft-skinned installation for purposes of Pre-Cap Bonuses.
C
Installation Type  
Supply Depot Princesses
Number Equipped Single Multiple
  WG42  1.25 1.3
Type 4 Anti-Ground Rockets 
 
1.2 1.4
 Other ASW Mortars 
 
1.15 1.2
  Landing Craft Type and
  Ka-Tsu Type Multiplier
1.7
  Toku Daihatsu 
Toku DLC + Panzer III [1]
Toku DLC + Panzer III J 
1.2
DLC + T89 Tank 
Toku DLC + Ho-Ni Tank 
Toku DLC + Panzer III [1]
Toku DLC + Panzer III J 
1.3 1.6
Toku DLC + Chi-Ha 
Toku DLC + Chi-Ha Kai [2]
DLC + Panzer II  1.3 1.6
M4A1 DD 
Toku DLC + Chi-Ha Kai 
Toku DLC + Panzer III J 
1.2
Armed Daihatsu 
Soukoutei 
1.5 1.1
  Ka-Tsu Tank 
Ka-Tsu Tank Kai 
Ka-Mi Tank  1.7 1.5
Ka-Tsu Tank Kai [3]
Number Equipped 1 2 3
  Landing Forces Type Multiplier 3.15 2.35 1.2
  Type 97 Medium Tank New Turret (Chi-Ha Kai) 
Army Infantry Corps + Chi-Ha Kai 
1.2
Army Infantry Corps 
Army Infantry Corps + Chi-Ha Kai 
1.55
   
Improvement
  Landing Craft &
  Ka-Tsu Tanks 
 
[1 + (Average DLC   /50) + (Average Ka-Tsu   /50)]N
  Ka-Mi Tank  1 + (Average   /30)
  Landing Forces Unknown yet
  1. 1.0 1.1 1.2 https://twitter.com/Divinity_123/status/1695813425660661965
  2. For example: 1 Chi-Ha  = no bonus, 2 Chi-Ha  = 1.6 (2.08/1.3), 1 T89  + 1 Chi-Ha  = 2.08
  3. In this case the Ka-Tsu Kai count as two, 1 Ka-Tsu Kai = 1.2

Rations Bonuses

The developers have mentioned that   Rations 
 
 
consumed by a girl "affect landing craft's morale"[1].

C1
Installation Type All installations[2]
Number Equipped Single Multiple
  Combat Ration  1.13 ??
Combat Ration (Special Onigiri)  ?? ??
Canned Saury  ?? ??
Notes
  • A   Landing Craft might be required to be equipped on the attacking ship for this bonus to be applied.
  • As it is the only post-cap bonus common to all installations, it has a great potential.
  • Due to the limited nature of Rations, this bonus is mostly "Pay To Win", and so is not recommended.

Airstrike And Land-Base Bonus

For the damage formula, please refer to the LBAS and airstrike page. The multiplier is chosen randomly between two values. The chance is roughly 50%.

There are exceptions:

  • For   Torpedo Bomber:
    • The   torpedo stat is counted as 0 in airstrike,
    • The behavior is unclear for LBAS (the damage are overestimated).
  • For    Jets 
     
    :
    • There are inconsistencies with the bonuses.


[math]\displaystyle{ {\color{tomato}\text{Mod}_\text{Inst}} }[/math][2]
Installation (ID) Airstrike LBAS
Low mod High mod Low mod High mod
 
Isolated Island Princess (1671-1672)
2
 
Artillery Imp (1665-1667)
1.3? 1.7 1.6 2.5
 
"Old" Supply Depot Princesses (1653-1658)
1.5 2.4 1.7 3.6?
 
"New" Supply Depot Princesses (B, C, D, ...) (ID>1658)
 
Harbour Summer Princess B (2023)
? ? ? ?

Installation-Like Warships

This section is for special ships with installation-like behaviors, taking additional damage from anti-installation equipment.

  • Those bonuses are post-cap only, meaning none of the "anti-installation bonuses" previously mentioned are applied.
  • Be aware that the sample is limited (event only) so the information may be inaccurate and/or old[1].
Installation-like warships
C
Installation Type      Mod C Mod C
Anchorage Water Demon Vacation Mode Dock Princess Supply Depot Princess C
Vacation Mode
Number Equipped Single Multiple Single Multiple Single Multiple
Ships Nagato-class
Yamato-class
1.2
  AA Shells 
 
 
1.45 1.3
  WG42 (Wurfgerät 42)  1.2 1.3 1.1 1.2 1.25 1.3
Type 4 Anti-Ground Rockets 
 
1.15 1.4 ? 1.2 1.4
 Other ASW Mortars 
 
1.1 ? ? 1.15 1.2
  Dive Bombers 1.4 1.75 1.1 1.1
  Jets 1.75
 Bomber  Seaplane Bombers/Fighters 1.1
  Landing Craft Type Multiplier 1.4 1.1 1.7
  Toku Daihatsu  1.15 1.2
DLC + T89 Tank 
Toku DLC + Ho-Ni Tank 
1.2 1.4 1.15 1.15 1.3 1.6
DLC + Panzer II  1.2 1.4 1.15 1.15 1.3 1.6
M4A1 DD  1.8 1.1 1.2
Armed Daihatsu 
Soukoutei 
1.2 1.1 1.5 1.1

Toku DLC + 11th Reg 
Toku DLC + Ho-Ni Tank 
Toku DLC + Panzer III 

1.4
  Ka-Mi Tank  2.4 1.35 1.2 1.2 1.7 1.5
Number Equipped 1 2 3
  Landing Forces Type Multiplier Unknown 3.15 2.35 1.2
  Type 97 Medium Tank New Turret (Chi-Ha Kai) 
Army Infantry Corps + Chi-Ha Kai 
1.2
Army Infantry Corps 
Army Infantry Corps + Chi-Ha Kai 
1.55
   
Improvement
  Landing Craft &
  Ka-Tsu Tanks 
 
1 + (Average DLC   /50) + (Average Ka-Tsu   /50) [1 + (Average DLC   /50)
+ (Average Ka-Tsu   /50)]N
  Ka-Mi Tank  1 + (Average   /30)
  Landing Forces Unknown
  1. Updated the 08/09/2022 during the Summer 2022 Event [1].
  • The missing bonuses from new equipment can be extrapolated from the other installation bonuses.