User:Jigaraphale/Sandbox/12

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.