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Difference between revisions of "Module:Sandbox/Combat"

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-- Damage calculations are based on http://kancollecalc.web.fc2.com/damage_formula.html and WikiWiki combat page.
 
-- Damage calculations are based on http://kancollecalc.web.fc2.com/damage_formula.html and WikiWiki combat page.
 
-- NB CI rate formula is from WikiWiki combat page (also, 検証、仮説スレ18).
 
-- NB CI rate formula is from WikiWiki combat page (also, 検証、仮説スレ18).
 +
-- Evasion rate formula: 検証、仮説スレ 10, 488.
 +
-- Accuracy rate formula: 検証、仮説スレ17, 314, http://kancolle.wikia.com/wiki/Sandbox/Accuracy_Evasion_Tables
 
--  
 
--  
 +
 +
-- * TODO: Switch to Combat2.
  
 
local Combat = {}
 
local Combat = {}
−
 
−
-- * Experimental values.
 
  
 
Combat.modifier = {
 
Combat.modifier = {
Line 125: Line 127:
 
function Combat:damage_post_cap(attack_power, ship, enemy_armor)
 
function Combat:damage_post_cap(attack_power, ship, enemy_armor)
 
attack_power = ship.spotting * self.contact * math.floor(self.expert * ship.critical * math.floor(ship.ap * attack_power))
 
attack_power = ship.spotting * self.contact * math.floor(self.expert * ship.critical * math.floor(ship.ap * attack_power))
−
-- Use a note on a caller side instead
 
−
--if ship.night_attack_x2 then
 
−
-- attack_power = 2 * attack_power
 
−
--end
 
 
if enemy_armor then
 
if enemy_armor then
 
local min_armor = enemy_armor * 0.7
 
local min_armor = enemy_armor * 0.7
 
local max_armor = enemy_armor * 0.7 + math.max(enemy_armor - 1, 0) * 0.6
 
local max_armor = enemy_armor * 0.7 + math.max(enemy_armor - 1, 0) * 0.6
−
local min = math.floor((attack_power - max_armor) * ship.ammo)
+
local min = math.floor((attack_power - max_armor) * ship.ammo_modifier)
−
local max = math.floor((attack_power - min_armor) * ship.ammo)
+
local max = math.floor((attack_power - min_armor) * ship.ammo_modifier)
 
return { min, max }
 
return { min, max }
 
else
 
else
−
return math.floor(attack_power * ship.ammo)
+
return math.floor(attack_power * ship.ammo_modifier)
 
end
 
end
 
end
 
end
  
−
-- TODO: pass enemy table, do additional detection (e.g. torpedo = 0 vs. ground type enemies
 
−
-- or attack_power = 0 when BB vs. enemy submarines, etc.)
 
 
function Combat:damage(ship, enemy_armor)
 
function Combat:damage(ship, enemy_armor)
 
return self:damage_post_cap(self:damage_cap(self:damage_pre_cap(ship)), ship, enemy_armor)
 
return self:damage_post_cap(self:damage_cap(self:damage_pre_cap(ship)), ship, enemy_armor)
 
end
 
end
  
−
-- TODO: carrier shelling, aerial, ASW, support expedition.
+
function Combat:shelling(ship)
 +
ship.attack_power = 5 + ship._firepower_max + ship.equipment_bonus.firepower + self.combined_firepower + ship.anti_ground_bonus
 +
return ship
 +
end
 +
 
 +
function Combat:torpedo(ship)
 +
ship.attack_power = 5 + ship._torpedo_max + ship.equipment_bonus.torpedo + self.combined_torpedo
 +
return ship
 +
end
 +
 
 +
function Combat:night_battle(ship)
 +
if ship.health == self.modifier.health.taiha then
 +
ship.attack_power = 0
 +
else
 +
ship.attack_power = self.night_contact + ship._firepower_max + ship._torpedo_max + ship.equipment_bonus.firepower + ship.equipment_bonus.torpedo
 +
end
 +
return ship
 +
end
  
 
Combat.nb_cut_in_types = {
 
Combat.nb_cut_in_types = {
Line 158: Line 171:
 
return math.floor(math.sqrt(modifier.k * ship._luck))
 
return math.floor(math.sqrt(modifier.k * ship._luck))
 
else
 
else
−
return Combat.nb_cut_in_rate(modifier.luck_cap, modifier)
+
return math.floor(math.sqrt(modifier.k * modifier.luck_cap))
 
end
 
end
 
end
 
end
  
−
function Combat:shelling(ship)
+
function Combat.evasion_rate(ship, high_morale)
−
ship.attack_power = 5 + ship._firepower_max + ship.equipment_bonus.firepower + self.combined_firepower + ship.anti_ground_bonus
+
local e = ship:evasion_leveled()
−
return ship
+
if high_morale then
 +
return math.floor(100 * 2 * e / (2 * e + 40))
 +
else
 +
return math.floor(100 * e / (e + 40))
 +
end
 
end
 
end
  
−
function Combat:torpedo(ship)
+
function Combat.accuracy_rate(ship)
−
ship.attack_power = 5 + ship._torpedo_max + ship.equipment_bonus.torpedo + self.combined_torpedo
+
return math.floor(100 * ((math.sqrt(ship._level) - 1) / 45 + ship._luck / 1000))
−
return ship
 
 
end
 
end
  
−
function Combat:night_battle(ship)
+
function Combat.air_power(ship)
−
if ship.health == self.modifier.health.taiha then
+
local slot1 = math.floor(25 + 10 * math.sqrt(ship._equipment[1].size))
−
ship.attack_power = 0
+
local slot2 = math.floor(25 + 10 * math.sqrt(ship._equipment[2].size))
−
else
+
local slot3 = math.floor(25 + 10 * math.sqrt(ship._equipment[3].size))
−
ship.attack_power = self.night_contact + ship._firepower_max + ship._torpedo_max + ship.equipment_bonus.firepower + ship.equipment_bonus.torpedo
+
local slot4 = ship._equipment[4] and math.floor(25 + 10 * math.sqrt(ship._equipment[4].size)) or 0
−
end
+
return {
−
return ship
+
slot_all = slot1 + slot2 + slot3 + slot4,
 +
slot1 = slot1,
 +
slot2 = slot2,
 +
slot3 = slot3,
 +
slot4 = slot4,
 +
}
 
end
 
end
  
 
-- * Ship object with extra fields related to combat.
 
-- * Ship object with extra fields related to combat.
  
−
local Ship = {}
+
function Combat.ship(ship, equip, night_attack, spotting)
  
−
function Ship:new(ship, equip, night_attack, spotting)
+
local ship = {
 +
_firepower_max = ship._firepower_max or 0,
 +
_torpedo_max = ship._torpedo_max or 0,
 +
_luck = ship._luck or 0,
 +
equipment = equip or {},
 +
equipment_bonus = { firepower = 0, torpedo = 0 },
 +
health = ship.health or Combat.modifier.health.normal,
 +
anti_ground = ship.anti_ground and Combat.modifier.anti_ground or 1,
 +
anti_ground_bonus = ship.wg and Combat.modifier.wg_bonus or 0,
 +
anti_sub = ship.anti_sub or 1,
 +
night_attack = night_attack or 1,
 +
night_attack_x2 = night_attack == Combat.modifier.night_attack.cut_in.torpedo or
 +
  night_attack == Combat.modifier.night_attack.cut_in.mixed,
 +
spotting = spotting or 1,
 +
critical = ship.critical or 1,
 +
ap = ship.ap or 1,
 +
ammo_modifier = ship.ammo_modifier or 1,
 +
}
  
−
self._firepower_max = ship._firepower_max or 0
+
for _, eq in pairs(ship.equipment) do
−
self._torpedo_max = ship._torpedo_max or 0
 
−
self._luck = ship._luck or 0
 
−
 
 
−
self.equipment = equip or {}
 
−
self.equipment_bonus = { firepower = 0, torpedo = 0 }
 
−
for _, eq in pairs(self.equipment) do
 
 
if eq.firepower then
 
if eq.firepower then
−
self.equipment_bonus.firepower = self.equipment_bonus.firepower + eq.firepower + (eq.k and eq.rank and eq.k * math.sqrt(eq.rank) or 0)
+
ship.equipment_bonus.firepower = ship.equipment_bonus.firepower + eq.firepower + (eq.k and eq.rank and eq.k * math.sqrt(eq.rank) or 0)
 
end
 
end
 
if eq.torpedo then
 
if eq.torpedo then
−
self.equipment_bonus.torpedo = self.equipment_bonus.torpedo + eq.torpedo + (eq.k and eq.rank and eq.k * math.sqrt(eq.rank) or 0)
+
ship.equipment_bonus.torpedo = ship.equipment_bonus.torpedo + eq.torpedo + (eq.k and eq.rank and eq.k * math.sqrt(eq.rank) or 0)
 
end
 
end
 
end
 
end
−
self.equipment_bonus.firepower = math.floor(self.equipment_bonus.firepower)
+
ship.equipment_bonus.firepower = math.floor(ship.equipment_bonus.firepower)
−
self.equipment_bonus.torpedo = math.floor(self.equipment_bonus.torpedo)
+
ship.equipment_bonus.torpedo = math.floor(ship.equipment_bonus.torpedo)
  
−
self.health = ship.health or Combat.modifier.health.normal
+
return ship
−
self.anti_ground = ship.anti_ground and Combat.modifier.anti_ground or 1
 
−
self.anti_ground_bonus = ship.wg and Combat.modifier.wg_bonus or 0
 
−
self.anti_sub = ship.anti_sub or 1
 
−
self.night_attack = night_attack or 1
 
−
self.night_attack_x2 = night_attack == Combat.modifier.night_attack.cut_in.torpedo or
 
−
  night_attack == Combat.modifier.night_attack.cut_in.mixed
 
−
self.spotting = spotting or 1
 
−
self.critical = ship.critical or 1
 
−
self.ap = ship.ap or 1
 
−
self.ammo = ship.ammo or 1
 
−
return self
 
  
 
end
 
end
  
−
-- * Table utils.
+
-- * Using Module:ShipCapabilities.
  
−
local format = require('Module:StringInterpolation').format
+
local BaseData = require("Module:BaseData")
−
local Formatting = require('Module:Formatting')
+
local ShipCapabilities = require("Module:ShipCapabilities")
−
local StatIcons = require('Module:StatIcons')
 
−
local Ship = require('Module:Ship')
 
  
−
local equipment = {
+
local Combat2 = BaseData{
−
DD = {
+
 
−
main = {
+
fleet = {
−
{ firepower = 3, rank = 10, k = 1 },
+
single = {
−
{ firepower = 3, rank = 10, k = 1 },
+
line_ahead  = { shelling = 1.0, salvo = 1.0, asw = 0.6, firepower = 0, torpedo = 0, },
 +
double_line  = { shelling = 0.8, salvo = 0.8, asw = 0.8, firepower = 0, torpedo = 0, },
 +
diamond      = { shelling = 0.7, salvo = 0.7, asw = 1.2, firepower = 0, torpedo = 0, },
 +
echelon      = { shelling = 0.6, salvo = 0.6, asw = 1.0, firepower = 0, torpedo = 0, },
 +
line_abreast = { shelling = 0.6, salvo = 0.6, asw = 1.3, firepower = 0, torpedo = 0, },
 +
},
 +
ctf_main = {
 +
line_abreast = { shelling = 0.8, salvo = nil, asw = 1.0, firepower = 0, torpedo = nil, },
 +
double_line  = { shelling = 1.0, salvo = nil, asw = 0.8, firepower = 0, torpedo = nil, },
 +
diamond      = { shelling = 0.7, salvo = nil, asw = 0.75, firepower = 0, torpedo = nil, },
 +
line_ahead  = { shelling = 1.1, salvo = nil, asw = 0.5, firepower = 0, torpedo = nil, },
 
},
 
},
−
torpedo = {
+
ctf_escort = {
−
-- Quint/53
+
line_abreast = { shelling = 0.8, salvo = 0.7, asw = 1.0, firepower = 10, torpedo = -5, },
−
{ torpedo = 12, rank = 10, k = 1 },
+
double_line  = { shelling = 1.0, salvo = 0.9, asw = 0.8, firepower = 10, torpedo = -5, },
−
{ torpedo = 12, rank = 10, k = 1 },
+
diamond      = { shelling = 0.7, salvo = 0.6, asw = 0.75, firepower = 10, torpedo = -5, },
−
{ torpedo = 12, rank = 10, k = 1 },
+
line_ahead  = { shelling = 1.1, salvo = 1.0, asw = 0.5, firepower = 10, torpedo = -5, },
 
},
 
},
−
},
+
stf_main = {
−
CL = {
+
line_abreast = { shelling = 0.8, salvo = nil, asw = 1.0, firepower = 10, torpedo = nil, },
−
-- 20.3 #3
+
double_line  = { shelling = 1.0, salvo = nil, asw = 0.8, firepower = 10, torpedo = nil, },
−
main = {
+
diamond      = { shelling = 0.7, salvo = nil, asw = 0.75, firepower = 10, torpedo = nil, },
−
{ firepower = 10, rank = 10, k = 1 },
+
line_ahead  = { shelling = 1.1, salvo = nil, asw = 0.5, firepower = 10, torpedo = nil, },
−
{ firepower = 10, rank = 10, k = 1 },
 
 
},
 
},
−
torpedo = {
+
stf_escort = {
−
{ torpedo = 12, rank = 10, k = 1 },
+
line_abreast = { shelling = 0.8, salvo = 0.7, asw = 1.0, firepower = -5, torpedo = -5, },
−
{ torpedo = 12, rank = 10, k = 1 },
+
double_line  = { shelling = 1.0, salvo = 0.9, asw = 0.8, firepower = -5, torpedo = -5, },
−
{ torpedo = 12, rank = 10, k = 1 },
+
diamond      = { shelling = 0.7, salvo = 0.6, asw = 0.75, firepower = -5, torpedo = -5, },
 +
line_ahead  = { shelling = 1.1, salvo = 1.0, asw = 0.5, firepower = -5, torpedo = -5, },
 
},
 
},
 
},
 
},
−
CLT = {
+
 
−
main = {
+
engagement = {
−
-- OTO
+
green_t = 1.2,
−
{ firepower = 8, rank = 10, k = 1 },
+
parallel = 1.0,
−
{ firepower = 8, rank = 10, k = 1 },
+
head_on = 0.8,
−
-- Hyouteki
+
red_t = 0.6,
−
{ torpedo = 12 },
+
},
−
},
+
 
−
torpedo = {
+
health = {
−
{ torpedo = 12, rank = 10, k = 1 },
+
normal = 1.0,
−
{ torpedo = 12, rank = 10, k = 1 },
+
chuuha = 0.7,
−
{ torpedo = 12 },
+
taiha = 0.4,
 +
},
 +
 
 +
-- handled by ShipCapabilities
 +
--night_attack = {
 +
-- cut_in = {
 +
-- main = 2,
 +
-- main_misc = 1.75,
 +
-- torpedo = 1.5,
 +
-- mixed = 1.3,
 +
-- },
 +
-- double = 1.2,
 +
-- normal = 1,
 +
--},
 +
 
 +
-- TODO: also use ShipCapabilities?
 +
spotting = {
 +
cut_in = {
 +
main_main = 1.5,
 +
main_ap = 1.3,
 +
main_radar = 1.2,
 +
main_second = 1.1,
 
},
 
},
 +
double = 1.2,
 +
},
 +
 +
ap = {
 +
main_ap = 1.08,
 +
main_ap_radar = 1.1,
 +
main_second_ap = 1.15,
 +
main_second_ap_radar = 1.15,
 +
},
 +
 +
contact = {
 +
[0] = 1.12,
 +
[1] = 1.12,
 +
[2] = 1.17,
 +
[3] = 1.20,
 
},
 
},
−
CA = {
+
 
−
main = {
+
cap = {
−
-- 20.3 #3
+
day = 150,
−
{ firepower = 10, rank = 10, k = 1 },
+
night = 300,
−
{ firepower = 10, rank = 10, k = 1 },
+
asw = 100,
−
-- FuMO
 
−
{ firepower = 3 },
 
−
},
 
−
torpedo = {
 
−
{ torpedo = 12, rank = 10, k = 1 },
 
−
{ torpedo = 12, rank = 10, k = 1 },
 
−
{ torpedo = 12, rank = 10, k = 1 },
 
−
{ torpedo = 12, rank = 10, k = 1 },
 
−
},
 
−
mixed = {
 
−
},
 
 
},
 
},
−
}
 
  
−
local normalized_type_code = {
+
day_battle = 1,
−
DD = "DD",
+
opening_torpedo = 2,
−
CL = "CL",
+
closing_torpedo = 3,
−
CLT = "CLT",
+
night_battle = 4,
−
FBB = "BB",
+
asw = 5,
−
BB = "BB",
+
opening_airstrike = 6,
−
CAV = "CA",
+
day_battle = 7,
−
BBV = "BB",
 
−
CVL = "CV",
 
−
CV = "CV",
 
−
CVB = "CV",
 
−
}
 
  
−
local type_code_to_template = {
 
−
DD = "main",
 
−
CL = "main",
 
−
CLT = "main",
 
−
CA = "main",
 
−
FBB = "main",
 
−
BB = "main",
 
−
CAV = "main_aviation",
 
−
BBV = "main_aviation",
 
−
CVL = "carrier",
 
−
CV = "carrier",
 
−
CVB = "carrier",
 
−
-- SS = "submarine",
 
−
-- SSV = "submarine_aviation",
 
−
-- AV = "...",
 
−
-- AO = "...",
 
 
}
 
}
  
−
function format_damage(ship_, type_code, damage_type_fn, equip_setup, night_attack, spotting)
+
function Combat2:create(stage)
−
local combat = Combat:new(night_attack)
+
local this = {}
−
local normal_damage = combat:damage(damage_type_fn(combat, Ship:new(ship_, {}, night_attack)))
+
this.stage = stage or {
−
local normal_damage_string =
+
fleet = Combat2.fleet.single.line_ahead,
−
normal_damage >= combat.cap
+
engagement = Combat2.engagement.parallel,
−
and string.format('<span style="color:red;">%s</span>', normal_damage)
+
}
−
or normal_damage
+
setmetatable(this, this)
−
local equip = equipment[type_code][equip_setup]
+
this.__index = self
−
spotting = spotting or 1
+
return this
−
local equip_damage_pre = combat:damage(damage_type_fn(combat, Ship:new(ship_, equip, night_attack)))
 
−
local equip_damage = combat:damage(damage_type_fn(combat, Ship:new(ship_, equip, night_attack, spotting)))
 
−
local equip_damage_string =
 
−
equip_damage_pre >= combat.cap
 
−
and string.format('<span style="color:red;">%s</span>', equip_damage)
 
−
or equip_damage
 
−
return
 
−
night_attack
 
−
and string.format("%s", equip_damage_string)
 
−
or string.format("%s, %s", normal_damage_string, equip_damage_string)
 
 
end
 
end
  
−
local templates = {
+
function Combat2:_get_ammo_modifier(ammo_bars)
 +
return ammo_bars >= 5 and 1 or ammo_bars / 5
 +
end
 +
 
 +
function Combat2:damage(type, ship, enemy, critical)
 +
 
 +
ship = ShipCapabilities{ ship = ship }
 +
 
 +
local vs_installation = enemy and enemy:is_installation()
 +
 
 +
local fleet = self.stage.fleet
 +
local formation = fleet.shelling
 +
local engagement = self.stage.engagement
 +
 
 +
local health = ship._health or Combat2.health.normal
 +
 
 +
local cap = Combat2.cap.day
 +
local spotting = 1
 +
local ap = 1
 +
local contact = 1
 +
local expert = 1
 +
local attack_power = 0
 +
 
 +
if type == Combat2.day_battle then
 +
spotting = ship._spotting or 1
 +
ap = ship._ap or 1
 +
expert = 1 + ((ship._expert_n or 0) + (ship._expert_first and 1 or 0)) / 10
 +
_, attack_power = ship:day_battle(vs_installation, fleet.firepower)
 +
elseif type == Combat2.closing_torpedo or type == Combat2.opening_torpedo then
 +
if not fleet.torpedo then
 +
return false
 +
end
 +
formation = fleet.salvo
 +
attack_power = Combat2.closing_torpedo and ship:closing_torpedo(fleet.torpedo) or Combat2.opening_torpedo and ship:opening_torpedo(fleet.torpedo)
 +
elseif type == Combat2.asw then
 +
formation = fleet.asw
 +
cap = Combat2.cap.asw
 +
attack_power = ship:asw_attack()
 +
elseif type == Combat2.night_battle then
 +
if health == Combat2.health.taiha then
 +
return false
 +
end
 +
formation = 1
 +
engagement = 1
 +
cap = Combat2.cap.night
 +
_, attack_power = ship:night_battle(vs_installation, self.stage.night_contact)
 +
elseif type == Combat2.opening_airstrike then
 +
expert = 1 + ((ship._expert_n or 0) + (ship._expert_first and 1 or 0)) / 10
 +
contact = self.stage.contact and Combat2.contact[self.stage.contact] or 1
 +
attack_power = ship:opening_airstrike()
 +
end
 +
 
 +
if not attack_power then
 +
return false
 +
end
 +
 
 +
attack_power = engagement * formation * health * attack_power
  
−
main = [[{| class="wikitable sortable typography-xl-optout" style="width:100%;"
+
if attack_power > cap then
−
! colspan="2" |
+
attack_power = cap + math.sqrt(attack_power - cap)
−
! colspan="4" |Day Battle
+
end
−
! colspan="5" |Night Battle
+
attack_power = math.floor(attack_power)
−
|-
 
−
!style="width:60px;"|Rank
 
−
!style="width:80px;"|Name
 
−
!${fp}
 
−
!${torp}
 
−
!<span title="Damage: normal attack without equipment, ${db_attack_note} with maxed equipment (all other modifiers = 1, see notes)">Hit</span>
 
−
!<span title="Normal torpedo salvo damage, all modifiers = 1, see notes">Salvo</span>
 
−
!${fp_plus_torp}
 
−
!<span title="Maximal damage from double attack (combined)">DA</span>
 
−
!<span title="Maximal damage from cut-in">CI</span>
 
−
!${luck_minus_cap}
 
−
!<span title="Torpedo/mixed cut-in rate, gun cut-in rate (only luck dependent part, no bonuses)">CI%</span>
 
−
${rows}|}]],
 
  
−
    carrier = [[{| class="wikitable sortable typography-xl-optout" style="width:100%;"
+
expert = critical and expert or 1
−
!style="width:60px;"|Rank
+
local critical = critical and 1.5 or 1
−
!style="width:80px;"|Name
 
−
!${fp}
 
−
!<span title="Air Power with full >> Reppuu">Air Power</span>
 
−
!<span title="">Aerial Hit</span>
 
−
!<span title="">Shelling</span>
 
−
${rows}|}]],
 
  
−
main_row = [[|-
+
attack_power = spotting * contact * math.floor(expert * critical * math.floor(ap * attack_power))
−
|${rank}
 
−
|${name}
 
−
|${fp}
 
−
|${torp}
 
−
|${db_attack}
 
−
|${db_torp}
 
−
|${fp_plus_torp}
 
−
|${nb_da}
 
−
|${nb_ci}
 
−
|${luck_minus_cap}
 
−
|${nb_ci_rate}
 
−
]],
 
  
−
    carrier_row = [[|-
+
local ammo_modifier = ship._ammo_bars and self:_get_ammo_modifier(ship._ammo_bars) or 1
−
|${rank}
 
−
|${name}
 
−
|${fp}
 
−
|
 
−
|
 
−
|
 
−
]],
 
  
−
}
+
if enemy and enemy._armor then
 +
local armor = enemy._armor
 +
local min_armor = armor * 0.7
 +
local max_armor = armor * 0.7 + math.max(armor - 1, 0) * 0.6
 +
local min = math.floor((attack_power - max_armor) * ammo_modifier)
 +
local max = math.floor((attack_power - min_armor) * ammo_modifier)
 +
return { min = math.max(0, min), max = math.max(0, max) }
 +
else
 +
return math.floor(attack_power * ammo_modifier)
 +
end
 +
 
 +
end
 +
 
 +
Combat.Combat2 = Combat2
 +
 
 +
-- * Template interface.
 +
 
 +
local Formatting = require("Module:Formatting")
 +
local Ship = require("Module:Ship")
 +
local ShipCapabilities = require("Module:ShipCapabilities")
 +
local Equipment = require("Module:Equipment")
  
−
local attacks = {
+
local setups = {
 
DD = {
 
DD = {
−
spotting = 1,
+
"10cm Twin High-angle Gun Mount + Anti-Aircraft Fire Director",
−
note = "normal attack",
+
"10cm Twin High-angle Gun Mount + Anti-Aircraft Fire Director",
−
},
 
−
CL = {
 
−
spotting = Combat.modifier.spotting.double,
 
−
note = "double attack",
 
 
},
 
},
−
CLT = {
+
DD_CI = {
−
spotting = 1,
+
"61cm Quintuple (Oxygen) Torpedo Mount",
−
note = "normal attack",
+
"61cm Quintuple (Oxygen) Torpedo Mount",
−
},
+
"61cm Quintuple (Oxygen) Torpedo Mount",
−
CA = {
 
−
spotting = Combat.modifier.spotting.double,
 
−
note = "double attack",
 
 
},
 
},
 
}
 
}
  
−
function Combat.header(frame)
+
function init_setup(ship, ci, improved)
−
local type_code_ = frame.args["type"]
+
local setup = setups[Formatting:format_ship_code(ship._type) .. (ci and "_CI" or "")] or setups[ship._name .. (ci and "_CI" or "")] or {}
−
local type_code = normalized_type_code[type_code_]
+
ship._equipment = {}
−
local template = templates[type_code_to_template[type_code_]]
+
for i = 1, #setup do
−
return format{
+
ship._equipment[i] = { equipment = Equipment(setup[i]){ _level = improved and 10 or 0 } }
−
template,
+
end
−
rows = frame.args[1] or "",
+
end
−
db_attack_note = attacks[type_code].note or "?",
+
 
−
fp = Formatting:format_image{StatIcons.firepower, caption = Formatting:format_stat_name("firepower")},
+
function nb(ship)
−
torp = Formatting:format_image{StatIcons.torpedo, caption = Formatting:format_stat_name("torpedo")},
+
init_setup(ship)
−
fp_plus_torp =
+
return Combat2():damage(Combat2.night_battle, ship)
−
Formatting:format_image{StatIcons.firepower, caption = Formatting:format_stat_name("firepower")}
+
end
−
.. "+" ..
+
 
−
Formatting:format_image{StatIcons.torpedo, caption = Formatting:format_stat_name("torpedo")},
+
function nb_max(ship)
−
luck_minus_cap =
+
init_setup(ship, false, true)
−
    '<span title="Luck cap">60</span>−' ..
+
return Combat2():damage(Combat2.night_battle, ship)
−
Formatting:format_image{StatIcons.luck, caption = Formatting:format_stat_name("luck")}
+
end
−
}
+
 
 +
function nb_ci(ship)
 +
init_setup(ship, true)
 +
return Combat2():damage(Combat2.night_battle, ship)
 
end
 
end
  
−
function Combat.row(frame)
+
function nb_ci_max(ship)
 +
init_setup(ship, true, true)
 +
return Combat2():damage(Combat2.night_battle, ship)
 +
end
  
−
local rank = frame.args[1]
+
function format_nb_damage(damage)
−
local ship_key = frame.args[2]
+
return damage >= Combat2.cap.night and string.format('<span style="color:green;">%s</span>', damage) or tostring(damage)
−
local note = frame.args["note"]
+
end
 +
 
 +
function format_nb_ci_boost(boost)
 +
if boost >= 90 then
 +
return string.format('<span style="color:green;">%s</span>', boost)
 +
elseif boost >= 70 then
 +
return string.format('<span style="color:yellow;">%s</span>', boost)
 +
elseif boost >= 50 then
 +
return string.format('<span style="color:orange;">%s</span>', boost)
 +
else
 +
return string.format('<span style="color:red;">%s</span>', boost)
 +
end
 +
end
 +
 
 +
local nb_ci_types = {
 +
torpedo = { k = 70, luck_cap = 60 },
 +
mixed = { k = 70, luck_cap = 70 },
 +
main = { k = 50, luck_cap = 55 },
 +
}
  
−
local name, suffix = Ship:process_ship_key(ship_key)
+
function nb_ci_rate(luck, modifier)
−
local ship = Ship:get_table(name, suffix)
+
if luck <= modifier.luck_cap then
 +
return math.floor(math.sqrt(modifier.k * luck))
 +
else
 +
return math.floor(math.sqrt(modifier.k * modifier.luck_cap))
 +
end
 +
end
  
−
if rank and name and ship and ship._type then
+
function format_luck(luck)
 +
local maruyu_sets = math.floor(60 - luck) / 8
 +
local hint = string.format("%s%% base rate, ", nb_ci_rate(luck, nb_ci_types.torpedo))
 +
hint = hint .. (
 +
(maruyu_sets < 0 or luck == 60) and "capped (luck >= 60)"
 +
or maruyu_sets == 0 and "few Maruyu to cap (60 luck)"
 +
or string.format("~%s Maruyu sets (5 Maruyu Kai each) to cap (60 luck)", maruyu_sets))
 +
if luck >= 60 then
 +
return Formatting:tooltip(luck, hint, nil, {color = "green"})
 +
elseif luck >= 50 then
 +
return Formatting:tooltip(luck, hint, nil, {color = "yellow"})
 +
elseif luck >= 40 then
 +
return Formatting:tooltip(luck, hint, nil, {color = "orange"})
 +
else
 +
return Formatting:tooltip(luck, hint, nil, {color = "red"})
 +
end
 +
end
  
−
local type_code_ = Formatting:format_ship_code(ship._type)
+
local functions = {
−
local type_code = normalized_type_code[type_code_]
+
_full_name = function(ship) return string.format("%s %s", ship._name, ship._suffix) end,
−
local template = templates[type_code_to_template[type_code_] .. "_row"]
+
_link = function(ship) return string.format("[[%s]]", ship._name) end,
−
local luck_diff = 60 - ship._luck
+
_nb = function(ship) return format_nb_damage(nb(ship)) end,
 +
_nb_max = function(ship) return format_nb_damage(nb_max(ship)) end,
 +
_nb_ci = function(ship) return format_nb_damage(nb_ci(ship)) end,
 +
_nb_ci_max = function(ship) return format_nb_damage(nb_ci_max(ship)) end,
 +
_nb_ci_boost = function(ship) return format_nb_ci_boost(nb_ci(ship) - nb(ship)) end,
 +
_nb_ci_boost_max = function(ship) return format_nb_ci_boost(nb_ci_max(ship) - nb_max(ship)) end,
 +
-- override Lua stat
 +
_luck = function(ship) return format_luck(ship._luck) end,
 +
}
  
−
return format{
+
function format_value(v, ship)
−
template,
+
if string.sub(v, 1, 1) == "_" then
−
rank = rank,
+
local fn = functions[v]
−
name = note and format{'[[${name}|<span title="${note}">${name}</span>]]<sup>?</sup>', name = name, note = note} or
+
if fn then
−
  string.format("[[%s]]", name),
+
return fn(ship)
−
fp = ship._firepower_max,
+
else
−
torp = ship._torpedo_max,
+
local lua_stat = ship[v]
−
fp_plus_torp = ship._firepower_max + (ship._torpedo_max or 0),
+
if lua_stat ~= nil then
−
db_attack = format_damage(ship, type_code, Combat.shelling, "main", nil, attacks[type_code].spotting),
+
return tostring(lua_stat)
−
db_torp = format_damage(ship, type_code, Combat.torpedo, "torpedo"),
+
else
−
nb_da = format_damage(ship, type_code, Combat.night_battle, "main", Combat.modifier.night_attack.double),
+
return "N/A"
−
nb_ci = format_damage(ship, type_code, Combat.night_battle, "torpedo", Combat.modifier.night_attack.cut_in.torpedo),
+
end
−
luck_minus_cap = luck_diff < 0 and "−" .. -luck_diff or luck_diff,
+
end
−
nb_ci_rate = string.format(
 
−
"%s%%, %s%%",
 
−
Combat.nb_cut_in_rate(ship, Combat.nb_cut_in_types.torpedo),
 
−
Combat.nb_cut_in_rate(ship, Combat.nb_cut_in_types.main)),
 
−
}
 
 
else
 
else
−
return ""
+
return v
 
end
 
end
 +
end
 +
 +
function Combat.format_values(frame)
 +
 +
local args = frame.args
 +
local ship_key = args[1]
 +
local ship = Ship(ship_key){ _level = 99 }
 +
 +
if ship and ship._type then
 +
local args_length = #args
 +
if args_length > 2 then
 +
local result = "|-\n"
 +
for i = 2, args_length do
 +
result = result .. string.format("|%s\n", format_value(args[i], ship))
 +
end
 +
return result
 +
elseif args_length == 2 then
 +
return format_value(args[2], ship)
 +
end
 +
end
 +
 +
return "N/A"
  
 
end
 
end
  
 
return Combat
 
return Combat

Latest revision as of 12:40, 12 May 2021

Documentation for this module may be created at Module:Sandbox/Combat/doc 

-- **
-- Damage calculations are based on http://kancollecalc.web.fc2.com/damage_formula.html and WikiWiki combat page.
-- NB CI rate formula is from WikiWiki combat page (also, 検証、仮説スレ18).
-- Evasion rate formula: 検証、仮説スレ 10, 488.
-- Accuracy rate formula: 検証、仮説スレ17, 314, http://kancolle.wikia.com/wiki/Sandbox/Accuracy_Evasion_Tables
-- 

-- * TODO: Switch to Combat2.

local Combat = {}

Combat.modifier = {

	comined_firepower = {
		ctf_first = 0,
		ctf_second = 10,
		stf_first = 10,
		stf_second = -5,
	},

	comined_torpedo = -5,

	night_contact = 5,

	formation = {
		line_ahead = 1.0,
		double_line = 0.8,
		diamond = 0.7,
		echelon = 0.6,
		line_abreast = 0.6,
		combined = {
			line_ahead = 1.1,
			diamond = 0.7,
			double_line = 1.0,
			line_abreast = 0.8,
		},
	},

	engagement = {
		green_t = 1.2,
		parallel = 1.0,
		head_on = 0.8,
		red_t = 0.6,
	},

	health = {
		normal = 1.0,
		chuuha = 0.7,
		taiha = 0.4,
	},

	anti_ground = 2.5,
	wg_bonus = 75,

	cap = {
		day = 150,
		night = 300,
	},

	spotting = {
		cut_in = {
			main_main = 1.5,
			main_ap = 1.3,
			main_radar = 1.2,
			main_second = 1.1,
		},
		double = 1.2,
	},

	night_attack = {
		cut_in = {
			main = 2,
			main_misc = 1.75,
			torpedo = 1.5,
			mixed = 1.3,
		},
		double = 1.2,
		normal = 1,
	},

	critical = 1.5,

	ap = {
		main_ap = 1.08,
		main_ap_radar = 1.1,
		main_second_ap = 1.15,
		main_second_ap_radar = 1.15,
	},

}

function Combat.ammo_modifier(ammo_bars)
	return ammo_bars >= 5 and 1 or ammo_bars / 5
end

-- * Combat object with ship-independent values as fields.
--   Ship and enemy values are passed via arguments.

function Combat:new(is_night_battle)
	local stage = {
		combined_firepower = 0,
		combined_torpedo = 0,
		formation = self.modifier.formation.line_ahead,
		engagement = self.modifier.engagement.parallel,
		night_contact = 0,
		is_night_battle = is_night_battle,
		cap = is_night_battle and self.modifier.cap.night or self.modifier.cap.day,
		contact = 1, -- TODO
		expert = 1, -- TODO
	}
	setmetatable(stage, self)
	self.__index = self
	return stage
end

function Combat:damage_pre_cap(ship)
	return self.engagement * self.formation * ship.health * ship.anti_ground * ship.anti_sub * ship.night_attack * ship.attack_power
end

function Combat:damage_cap(attack_power)
	if attack_power > self.cap then
		attack_power = self.cap + math.sqrt(attack_power - self.cap)
	end
	return math.floor(attack_power)
end

function Combat:damage_post_cap(attack_power, ship, enemy_armor)
	attack_power = ship.spotting * self.contact * math.floor(self.expert * ship.critical * math.floor(ship.ap * attack_power))
	if enemy_armor then
		local min_armor = enemy_armor * 0.7
		local max_armor = enemy_armor * 0.7 + math.max(enemy_armor - 1, 0) * 0.6
		local min = math.floor((attack_power - max_armor) * ship.ammo_modifier)
		local max = math.floor((attack_power - min_armor) * ship.ammo_modifier)
		return { min, max }
	else
		return math.floor(attack_power * ship.ammo_modifier)
	end
end

function Combat:damage(ship, enemy_armor)
	return self:damage_post_cap(self:damage_cap(self:damage_pre_cap(ship)), ship, enemy_armor)
end

function Combat:shelling(ship)
	ship.attack_power = 5 + ship._firepower_max + ship.equipment_bonus.firepower + self.combined_firepower + ship.anti_ground_bonus
	return ship
end

function Combat:torpedo(ship)
	ship.attack_power = 5 + ship._torpedo_max + ship.equipment_bonus.torpedo + self.combined_torpedo
	return ship
end

function Combat:night_battle(ship)
	if ship.health == self.modifier.health.taiha then
		ship.attack_power = 0
	else
		ship.attack_power = self.night_contact + ship._firepower_max + ship._torpedo_max + ship.equipment_bonus.firepower + ship.equipment_bonus.torpedo
	end
	return ship
end

Combat.nb_cut_in_types = {
	torpedo = { k = 70, luck_cap = 60 },
	mixed = { k = 70, luck_cap = 70 },
	main = { k = 50, luck_cap = 55 },
}

function Combat.nb_cut_in_rate(ship, modifier)
	if ship._luck <= modifier.luck_cap then
		return math.floor(math.sqrt(modifier.k * ship._luck))
	else
		return math.floor(math.sqrt(modifier.k * modifier.luck_cap))
	end
end

function Combat.evasion_rate(ship, high_morale)
	local e = ship:evasion_leveled()
	if high_morale then
		return math.floor(100 * 2 * e / (2 * e + 40))
	else
		return math.floor(100 * e / (e + 40))
	end
end

function Combat.accuracy_rate(ship)
	return math.floor(100 * ((math.sqrt(ship._level) - 1) / 45 + ship._luck / 1000))
end

function Combat.air_power(ship)
	local slot1 = math.floor(25 + 10 * math.sqrt(ship._equipment[1].size))
	local slot2 = math.floor(25 + 10 * math.sqrt(ship._equipment[2].size))
	local slot3 = math.floor(25 + 10 * math.sqrt(ship._equipment[3].size))
	local slot4 = ship._equipment[4] and math.floor(25 + 10 * math.sqrt(ship._equipment[4].size)) or 0
	return {
		slot_all = slot1 + slot2 + slot3 + slot4,
		slot1 = slot1,
		slot2 = slot2,
		slot3 = slot3,
		slot4 = slot4,
	}
end

-- * Ship object with extra fields related to combat.

function Combat.ship(ship, equip, night_attack, spotting)

	local ship = {
		_firepower_max = ship._firepower_max or 0,
		_torpedo_max = ship._torpedo_max or 0,
		_luck = ship._luck or 0,
		equipment = equip or {},
		equipment_bonus = { firepower = 0, torpedo = 0 },
		health = ship.health or Combat.modifier.health.normal,
		anti_ground = ship.anti_ground and Combat.modifier.anti_ground or 1,
		anti_ground_bonus = ship.wg and Combat.modifier.wg_bonus or 0,
		anti_sub = ship.anti_sub or 1,
		night_attack = night_attack or 1,
		night_attack_x2 = night_attack == Combat.modifier.night_attack.cut_in.torpedo or
						  night_attack == Combat.modifier.night_attack.cut_in.mixed,
		spotting = spotting or 1,
		critical = ship.critical or 1,
		ap = ship.ap or 1,
		ammo_modifier = ship.ammo_modifier or 1,
	}

	for _, eq in pairs(ship.equipment) do
		if eq.firepower then
			ship.equipment_bonus.firepower = ship.equipment_bonus.firepower + eq.firepower + (eq.k and eq.rank and eq.k * math.sqrt(eq.rank) or 0)
		end
		if eq.torpedo then
			ship.equipment_bonus.torpedo = ship.equipment_bonus.torpedo + eq.torpedo + (eq.k and eq.rank and eq.k * math.sqrt(eq.rank) or 0)
		end
	end
	ship.equipment_bonus.firepower = math.floor(ship.equipment_bonus.firepower)
	ship.equipment_bonus.torpedo = math.floor(ship.equipment_bonus.torpedo)

	return ship

end

-- * Using Module:ShipCapabilities.

local BaseData = require("Module:BaseData")
local ShipCapabilities = require("Module:ShipCapabilities")

local Combat2 = BaseData{

	fleet = {
		single = {
			line_ahead   = { shelling = 1.0, salvo = 1.0, asw = 0.6, firepower = 0, torpedo = 0, },
			double_line  = { shelling = 0.8, salvo = 0.8, asw = 0.8, firepower = 0, torpedo = 0, },
			diamond      = { shelling = 0.7, salvo = 0.7, asw = 1.2, firepower = 0, torpedo = 0, },
			echelon      = { shelling = 0.6, salvo = 0.6, asw = 1.0, firepower = 0, torpedo = 0, },
			line_abreast = { shelling = 0.6, salvo = 0.6, asw = 1.3, firepower = 0, torpedo = 0, },
		},
		ctf_main = {
			line_abreast = { shelling = 0.8, salvo = nil, asw = 1.0, firepower = 0, torpedo = nil, },
			double_line  = { shelling = 1.0, salvo = nil, asw = 0.8, firepower = 0, torpedo = nil, },
			diamond      = { shelling = 0.7, salvo = nil, asw = 0.75, firepower = 0, torpedo = nil, },
			line_ahead   = { shelling = 1.1, salvo = nil, asw = 0.5, firepower = 0, torpedo = nil, },
		},
		ctf_escort = {
			line_abreast = { shelling = 0.8, salvo = 0.7, asw = 1.0, firepower = 10, torpedo = -5, },
			double_line  = { shelling = 1.0, salvo = 0.9, asw = 0.8, firepower = 10, torpedo = -5, },
			diamond      = { shelling = 0.7, salvo = 0.6, asw = 0.75, firepower = 10, torpedo = -5, },
			line_ahead   = { shelling = 1.1, salvo = 1.0, asw = 0.5, firepower = 10, torpedo = -5, },
		},
		stf_main = {
			line_abreast = { shelling = 0.8, salvo = nil, asw = 1.0, firepower = 10, torpedo = nil, },
			double_line  = { shelling = 1.0, salvo = nil, asw = 0.8, firepower = 10, torpedo = nil, },
			diamond      = { shelling = 0.7, salvo = nil, asw = 0.75, firepower = 10, torpedo = nil, },
			line_ahead   = { shelling = 1.1, salvo = nil, asw = 0.5, firepower = 10, torpedo = nil, },
		},
		stf_escort = {
			line_abreast = { shelling = 0.8, salvo = 0.7, asw = 1.0, firepower = -5, torpedo = -5, },
			double_line  = { shelling = 1.0, salvo = 0.9, asw = 0.8, firepower = -5, torpedo = -5, },
			diamond      = { shelling = 0.7, salvo = 0.6, asw = 0.75, firepower = -5, torpedo = -5, },
			line_ahead   = { shelling = 1.1, salvo = 1.0, asw = 0.5, firepower = -5, torpedo = -5, },
		},
	},

	engagement = {
		green_t = 1.2,
		parallel = 1.0,
		head_on = 0.8,
		red_t = 0.6,
	},

	health = {
		normal = 1.0,
		chuuha = 0.7,
		taiha = 0.4,
	},

	-- handled by ShipCapabilities
	--night_attack = {
	--	cut_in = {
	--		main = 2,
	--		main_misc = 1.75,
	--		torpedo = 1.5,
	--		mixed = 1.3,
	--	},
	--	double = 1.2,
	--	normal = 1,
	--},

	-- TODO: also use ShipCapabilities?
	spotting = {
		cut_in = {
			main_main = 1.5,
			main_ap = 1.3,
			main_radar = 1.2,
			main_second = 1.1,
		},
		double = 1.2,
	},

	ap = {
		main_ap = 1.08,
		main_ap_radar = 1.1,
		main_second_ap = 1.15,
		main_second_ap_radar = 1.15,
	},

	contact = {
		[0] = 1.12,
		[1] = 1.12,
		[2] = 1.17,
		[3] = 1.20,
	},

	cap = {
		day = 150,
		night = 300,
		asw = 100,
	},

	day_battle = 1,
	opening_torpedo = 2,
	closing_torpedo = 3,
	night_battle = 4,
	asw = 5,
	opening_airstrike = 6,
	day_battle = 7,

}

function Combat2:create(stage)
	local this = {}
	this.stage = stage or {
		fleet = Combat2.fleet.single.line_ahead,
		engagement = Combat2.engagement.parallel,
	}
	setmetatable(this, this)
	this.__index = self
	return this
end

function Combat2:_get_ammo_modifier(ammo_bars)
	return ammo_bars >= 5 and 1 or ammo_bars / 5
end

function Combat2:damage(type, ship, enemy, critical)

	ship = ShipCapabilities{ ship = ship }

	local vs_installation = enemy and enemy:is_installation()

	local fleet = self.stage.fleet
	local formation = fleet.shelling
	local engagement = self.stage.engagement

	local health = ship._health or Combat2.health.normal

	local cap = Combat2.cap.day
	local spotting = 1
	local ap = 1
	local contact = 1
	local expert = 1
	local attack_power = 0

	if type == Combat2.day_battle then
		spotting = ship._spotting or 1
		ap = ship._ap or 1
		expert = 1 + ((ship._expert_n or 0) + (ship._expert_first and 1 or 0)) / 10
		_, attack_power = ship:day_battle(vs_installation, fleet.firepower)
	elseif type == Combat2.closing_torpedo or type == Combat2.opening_torpedo then
		if not fleet.torpedo then
			return false
		end
		formation = fleet.salvo
		attack_power = Combat2.closing_torpedo and ship:closing_torpedo(fleet.torpedo) or Combat2.opening_torpedo and ship:opening_torpedo(fleet.torpedo)
	elseif type == Combat2.asw then
		formation = fleet.asw
		cap = Combat2.cap.asw
		attack_power = ship:asw_attack()
	elseif type == Combat2.night_battle then
		if health == Combat2.health.taiha then
			return false
		end
		formation = 1
		engagement = 1
		cap = Combat2.cap.night
		_, attack_power = ship:night_battle(vs_installation, self.stage.night_contact)
	elseif type == Combat2.opening_airstrike then
		expert = 1 + ((ship._expert_n or 0) + (ship._expert_first and 1 or 0)) / 10
		contact = self.stage.contact and Combat2.contact[self.stage.contact] or 1
		attack_power = ship:opening_airstrike()
	end

	if not attack_power then
		return false
	end

	attack_power = engagement * formation * health * attack_power

	if attack_power > cap then
		attack_power = cap + math.sqrt(attack_power - cap)
	end
	attack_power = math.floor(attack_power)

	expert = critical and expert or 1
	local critical = critical and 1.5 or 1

	attack_power = spotting * contact * math.floor(expert * critical * math.floor(ap * attack_power))

	local ammo_modifier = ship._ammo_bars and self:_get_ammo_modifier(ship._ammo_bars) or 1

	if enemy and enemy._armor then
		local armor = enemy._armor
		local min_armor = armor * 0.7
		local max_armor = armor * 0.7 + math.max(armor - 1, 0) * 0.6
		local min = math.floor((attack_power - max_armor) * ammo_modifier)
		local max = math.floor((attack_power - min_armor) * ammo_modifier)
		return { min = math.max(0, min), max = math.max(0, max) }
	else
		return math.floor(attack_power * ammo_modifier)
	end

end

Combat.Combat2 = Combat2

-- * Template interface.

local Formatting = require("Module:Formatting")
local Ship = require("Module:Ship")
local ShipCapabilities = require("Module:ShipCapabilities")
local Equipment = require("Module:Equipment")

local setups = {
	DD = {
		"10cm Twin High-angle Gun Mount + Anti-Aircraft Fire Director",
		"10cm Twin High-angle Gun Mount + Anti-Aircraft Fire Director",
	},
	DD_CI = {
		"61cm Quintuple (Oxygen) Torpedo Mount",
		"61cm Quintuple (Oxygen) Torpedo Mount",
		"61cm Quintuple (Oxygen) Torpedo Mount",
	},
}

function init_setup(ship, ci, improved)
	local setup = setups[Formatting:format_ship_code(ship._type) .. (ci and "_CI" or "")] or setups[ship._name .. (ci and "_CI" or "")] or {}
	ship._equipment = {}
	for i = 1, #setup do
		ship._equipment[i] = { equipment = Equipment(setup[i]){ _level = improved and 10 or 0 } }
	end
end

function nb(ship)
	init_setup(ship)
	return Combat2():damage(Combat2.night_battle, ship)
end

function nb_max(ship)
	init_setup(ship, false, true)
	return Combat2():damage(Combat2.night_battle, ship)
end

function nb_ci(ship)
	init_setup(ship, true)
	return Combat2():damage(Combat2.night_battle, ship)
end

function nb_ci_max(ship)
	init_setup(ship, true, true)
	return Combat2():damage(Combat2.night_battle, ship)
end

function format_nb_damage(damage)
	return damage >= Combat2.cap.night and string.format('<span style="color:green;">%s</span>', damage) or tostring(damage)
end

function format_nb_ci_boost(boost)
	if boost >= 90 then
		return string.format('<span style="color:green;">%s</span>', boost)
	elseif boost >= 70 then
		return string.format('<span style="color:yellow;">%s</span>', boost)
	elseif boost >= 50 then
		return string.format('<span style="color:orange;">%s</span>', boost)
	else
		return string.format('<span style="color:red;">%s</span>', boost)
	end
end

local nb_ci_types = {
	torpedo = { k = 70, luck_cap = 60 },
	mixed = { k = 70, luck_cap = 70 },
	main = { k = 50, luck_cap = 55 },
}

function nb_ci_rate(luck, modifier)
	if luck <= modifier.luck_cap then
		return math.floor(math.sqrt(modifier.k * luck))
	else
		return math.floor(math.sqrt(modifier.k * modifier.luck_cap))
	end
end

function format_luck(luck)
	local maruyu_sets = math.floor(60 - luck) / 8
	local hint = string.format("%s%% base rate, ", nb_ci_rate(luck, nb_ci_types.torpedo))
	hint = hint .. (
		(maruyu_sets < 0 or luck == 60) and "capped (luck >= 60)"
		or maruyu_sets == 0 and "few Maruyu to cap (60 luck)"
		or string.format("~%s Maruyu sets (5 Maruyu Kai each) to cap (60 luck)", maruyu_sets))
	if luck >= 60 then
		return Formatting:tooltip(luck, hint, nil, {color = "green"})
	elseif luck >= 50 then
		return Formatting:tooltip(luck, hint, nil, {color = "yellow"})
	elseif luck >= 40 then
		return Formatting:tooltip(luck, hint, nil, {color = "orange"})
	else
		return Formatting:tooltip(luck, hint, nil, {color = "red"})
	end
end

local functions = {
	_full_name = function(ship) return string.format("%s %s", ship._name, ship._suffix) end,
	_link = function(ship) return string.format("[[%s]]", ship._name) end,
	_nb = function(ship) return format_nb_damage(nb(ship)) end,
	_nb_max = function(ship) return format_nb_damage(nb_max(ship)) end,
	_nb_ci = function(ship) return format_nb_damage(nb_ci(ship)) end,
	_nb_ci_max = function(ship) return format_nb_damage(nb_ci_max(ship)) end,
	_nb_ci_boost = function(ship) return format_nb_ci_boost(nb_ci(ship) - nb(ship)) end,
	_nb_ci_boost_max = function(ship) return format_nb_ci_boost(nb_ci_max(ship) - nb_max(ship)) end,
	-- override Lua stat
	_luck = function(ship) return format_luck(ship._luck) end,
}

function format_value(v, ship)
	if string.sub(v, 1, 1) == "_" then
		local fn = functions[v]
		if fn then
			return fn(ship)
		else
			local lua_stat = ship[v]
			if lua_stat ~= nil then
				return tostring(lua_stat)
			else
				return "N/A"
			end
		end
	else
		return v
	end
end

function Combat.format_values(frame)

	local args = frame.args
	local ship_key = args[1]
	local ship = Ship(ship_key){ _level = 99 }

	if ship and ship._type then
		local args_length = #args
		if args_length > 2 then
			local result = "|-\n"
			for i = 2, args_length do
				result = result .. string.format("|%s\n", format_value(args[i], ship))
			end
			return result			
		elseif args_length == 2 then
			return format_value(args[2], ship)
		end
	end

	return "N/A"

end

return Combat
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