Module:Sandbox/Combat

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

local Combat = {}

-- * Damage calculator.
-- 
-- TBD
-- 
--   http://kancollecalc.web.fc2.com/damage_formula.html
--   http://kancollecalc.web.fc2.com/damage.js
-- 
--   http://wikiwiki.jp/kancolle/?%C0%EF%C6%AE%A4%CB%A4%C4%A4%A4%A4%C6
--   http://wikiwiki.jp/kancolle/?%BB%D9%B1%E7%B4%CF%C2%E2
-- 

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

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

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

local comined_torp = -5

local formation_modifiers = {
	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,
	}
}

local health_modifiers = {
	normal = 1.0,
	chuuha = 0.7,
	taiha = 0.4
}

function ammo_modifier(ammo)
	return ammo >= 5 and 1 or ammo / 5
end

local ap_modifiers = {
	main_ap = 1.08,
	main_ap_radar = 1.1,
	main_second_ap = 1.15,
	main_second_ap_radar = 1.15
}

local critical_modifier = 1.5

local anti_ground_modifier = 2.5
local anti_ground_wg_bonus = 75

local db_cap = 150
local nb_cap = 300

local equip_coeffs = {
	small_gun = 1,
	medium_gun = 1,
	main_gun = 1.5,
	ap = 1,
	torpedo = 1.2,
}

function default_modifiers(critical)
	return {
		combined_fp = 0,
		combined_torp = 0,
		anti_ground_bonus = 0,
		engagement = engagement_modifiers.parallel,
		formation = formation_modifiers.line_ahead,
		health = health_modifiers.normal,
		anti_ground = 1,
		anti_sub = 1,
		night = 1,
		cap = db_cap,
		spotting = 1,
		contact = 1,
		expert = 1,
		critical = critical and critical_modifier or 1,
		ap = 1,
		ammo = 1,
	}
end

function shelling_attack_power(fp, equip_bonus, modifiers)
	return 5 + fp + equip_bonus + modifiers.combined_fp + modifiers.anti_ground_bonus
end

function torpedo_attack_power(torp, equip_bonus, modifiers)
	return 5 + torp + equip_bonus + modifiers.combined_torp
end

function damage_pre_cap(attack_power, modifiers)
	return 
		modifiers.engagement * modifiers.formation * modifiers.health *
		modifiers.anti_ground * modifiers.anti_sub *
		modifiers.night *
		attack_power
end

function damage_cap(attack_power, modifiers)
	if attack_power > modifiers.cap then
		attack_power = modifiers.cap + math.sqrt(attack_power - modifiers.cap)
	end
	return math.floor(attack_power)
end

function damage_post_cap(attack_power, modifiers, armor)
	attack_power =
		modifiers.spotting * modifiers.contact *
		math.floor(modifiers.expert * modifiers.critical *
		math.floor(modifiers.ap * attack_power))
	if armor then
		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) * modifiers.ammo)
		local max = math.floor((attack_power - min_armor) * modifiers.ammo)
		return { min, max }
	else
		return math.floor(attack_power * modifiers.ammo)
	end
end

function damage(attack_power, modifiers, armor)
	return damage_post_cap(damage_cap(damage_pre_cap(attack_power, modifiers), modifiers), modifiers, armor)
end

-- * CI rate formula.

local cut_in_types = {
	torpedo = { k = 70, cap = 60 },
	mixed = { k = 70, cap = 70 },
	main = { k = 50, cap = 55 }
}

function cut_in_rate(luck, t)
	if luck <= t.cap then
		return math.floor(math.sqrt(t.k * luck))
	else
		return cut_in_rate(t.cap, t)
	end
end

-- * Tables.

local format = require('Module:StringInterpolation').format
local Ship = require('Module:Ship')
local Formatting = require('Module:Formatting')
local StatIcons = require('Module:StatIcons')

local templates = {

	main = [[{| class="wikitable sortable typography-xl-optout" style="width:100%;"
! colspan="2" |
! colspan="4" |Day Battle
! colspan="5" |Night Battle
|-
!Rank
!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%;"
!Rank
!Name
!${fp}
!<span title=""></span>
!<span title=""></span>
${rows}|}]],

	main_row = [[|-
|${rank}
|${name}
|${fp}
|${torp}
|${db_attack}
|${db_torp}
|${fp_plus_torp}
|${nb_da}
|${nb_ci}
|${luck_minus_cap}
|${nb_ci_rate}
]],

    carrier_row = [[|-
|${rank}
|${name}
|${fp}
|
|
]],

}

local map_types = {
    dd = "main", cl = "main", clt = "main", ca = "main", bb = "main",
    cvl = "carrier", cv = "carrier",
}

function Combat.table(frame)
    local type = frame.args["type"]
    local db_attack_notes = {
        dd = "normal attack",
        cl = "double attack",
        clt = "normal attack",
        ca = "double attack",
    }
	return format{
		templates[map_types[type]],
		rows = frame.args[1] or "",
		db_attack_note = db_attack_notes[type] or "?",
		fp = Formatting:format_image{StatIcons.firepower, caption = Formatting:format_stat_name("firepower")},
		torp = Formatting:format_image{StatIcons.torpedo, caption = Formatting:format_stat_name("torpedo")},
		fp_plus_torp =
			Formatting:format_image{StatIcons.firepower, caption = Formatting:format_stat_name("firepower")}
			.. "+" ..
			Formatting:format_image{StatIcons.torpedo, caption = Formatting:format_stat_name("torpedo")},
		luck_minus_cap =
		    '<span title="Luck cap">60</span>−' ..
			Formatting:format_image{StatIcons.luck, caption = Formatting:format_stat_name("luck")}
	}
end

function get_db_attack_string(fp, t)
    local modifiers = default_modifiers(false)
    local equip_fp = {
        dd = 2 * 3 + math.floor(2 * math.sqrt(10)),
        cl = 2 * 10 + math.floor(2 * math.sqrt(10)),
        clt = 2 * 8 + math.floor(2 * math.sqrt(10)),
        ca = 2 * 10 + math.floor(2 * math.sqrt(10)) + 3,
    }
    local normal = damage(shelling_attack_power(fp, 0, modifiers), modifiers)
    if t == "cl" or t == "ca" then
        modifiers.spotting = spotting_modifiers.double
    end
    local special = damage(shelling_attack_power(fp, equip_fp[t] or 0, modifiers), modifiers)
    return normal .. ", " .. special
end

function Combat.table_row(frame)

	local rank = frame.args[1]
	local ship_key = frame.args[2]
	local typ = frame.args["type"]
	local note = frame.args["note"]

	local name, suffix = Ship:process_ship_key(ship_key)
	local ship_table = Ship:get_table(name, suffix)

	if rank and typ and name and ship_table and ship_table._type then
	    local fp = ship_table._firepower_max
	    local torp = ship_table._torpedo_max or 0
	    local luck = ship_table._luck
		local luck_diff = 60 - luck
		return format{
			templates[map_types[typ] .. "_row"],
			rank = rank,
			name =
			    note and format{'[[${name}|<span title="${note}">${name}</span>]]<sup>?</sup>', name = name, note = note} or
			    string.format("[[%s]]", name),
			fp = fp,
			torp = torp,
			fp_plus_torp = fp + torp,
			db_attack = get_db_attack_string(fp, typ),
			db_torp = "",
			nb_da = "",
			nb_ci = "",
			luck_minus_cap = luck_diff < 0 and "−" .. -luck_diff or luck_diff,
			nb_ci_rate =
			    cut_in_rate(luck, cut_in_types.torpedo) .. "%, " ..
			    cut_in_rate(luck, cut_in_types.main) .. "%",
		}
	else
		return ""
	end

end

return Combat