Module:Infobox regtemp

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This module should not be invoked directly; use its corresponding template instead: Template:Infobox regtemp.

Module:Infobox regtemp is a draft module. It is incomplete and may not be in active development. If possible, editors are encouraged to help with its development. In the meantime, editors should avoid using this module across the Xenharmonic Wiki, except for testing.

This module generates an infobox providing information about a given regular temperament.

Introspection summary for Module:Infobox regtemp
Functions provided (5) Line Function Params 7 infobox_RT (invokable) (frame) 197 digit2greek (number, purpose) 279 num2greek (number, purpose) 294 digit2greeklet (number, purpose) 361 num2greeklet (number)	Lua modules required (3) Variable Module Functions used infobox Module:Infobox build u Module:Utils log2 yesno Module:Yesno dependency not used

No function descriptions were provided. The Lua code may have further information.

---

local p = {}

local infobox = require("Module:Infobox")
local u = require("Module:Utils")
local yesno = require("Module:Yesno")

function p.infobox_RT(frame)
	
	-- no real math functionality... yet
	local name = frame.args["tempname"]
	
	local subgroup = frame.args["subgroup"]
	local basis = frame.args["commas"]
	
	local edo_first = frame.args["edo_first"]
	local edo1 = tonumber(edo_first)
	local edo_second = frame.args["edo_second"]
	local edo2 = tonumber(edo_second)
	
	local tuning = frame.args["tuning"]
	local genfrac = frame.args["genfrac"]
	local method = frame.args["method"]
	local mapping = frame.args["mapping"]
	
	local mos = frame.args["mosses"]
	local ploidacot = frame.args["ploidacot"]
	local colorname = frame.args["colorname"]
	local pergen = frame.args["pergen"]
	
	local limit1 = frame.args["lim1"]
	local comp1 = frame.args["comp1"]
	local acc1 = frame.args["acc1"]
	local limit2 = frame.args["lim2"]
	local comp2 = frame.args["comp2"]
	local acc2 = frame.args["acc2"]
	local debugg = frame.args["debug"]
	
	local data = {}
	
	table.insert(data, {
		"Subgroups",
		subgroup
	})

	table.insert(data, {
		"Comma basis",
		basis
	})

	table.insert(data, {
		"Reduced mapping",
		"⟨" .. mapping .. "]"
	})
	
	-- process mapping
	local map = {}
	for num in mapping:gmatch("(%d+); ") do
		table.insert(map, num)
	end
	local lowermap = {}
	for num in mapping:gmatch("(%d+) ") do
		table.insert(lowermap, num)
	end
	
	-- autocalculating ploidacot
	local ploid = tonumber (map[1])
	
	local equave = string.char(string.byte(subgroup, 1))
	local equave_letter
	local cot = tonumber(lowermap[1])
	local referent = string.char(string.byte(subgroup, 3))
	local suffix = "cleft"
	if tonumber(equave) == 3 then
		equave_letter = "t"
		if tonumber(string.char(string.byte(subgroup, 3))) == 5 then
			if tonumber(string.char(string.byte(subgroup, 5))) == 7 then
				cot = tonumber(lowermap[2])
				suffix = "gem"
			end
		elseif tonumber(string.char(string.byte(subgroup, 3))) == 2 then -- edf
			equave_letter = "f"
			equave = "3/2"
			referent = string.char(string.byte(subgroup, 5))
		end
		if referent == "7" then
			suffix = "gem"
		end
	elseif tonumber(equave) == 2 then
		equave_letter = "o"
		if tonumber(string.char(string.byte(subgroup, 3))) == 3 then
			suffix = "cot"
		elseif tonumber(string.char(string.byte(subgroup, 3))) == 5 then
			suffix = "seph"
		end
	else
		equave_letter = equave
	end
	
	if suffix == "cleft" then
		suffix = referent .. suffix
	end
	
	local equave_size = 1200 * u.log2(tonumber(equave))
	local referent_size = 1200 * u.log2(tonumber(referent))
	local period_size = equave_size / ploid
	local generator_size = tonumber(tuning)
	if cot < 0 then
		generator_size = equave_size - generator_size
		cot = -cot
	end
	local shear = (math.floor(generator_size * cot / period_size) 
		- math.floor(referent_size % equave_size / period_size)) % cot
	if ploid == 1 and cot > 2 and shear == cot - ploid then
		shear = shear - cot
	end
	suffix = p.num2greeklet(tostring(shear)) .. p.num2greek(tostring(cot), "cot") .. suffix
	
	if ploid ~= 1 then
		suffix = p.num2greek(tostring(ploid), "ploid") .. "ploid " .. suffix
	end
	
	if ploidacot == "0" then
		ploidacot = suffix
	end
	
	-- edo join
	table.insert(data, {
		"Edo join",
		"[[" .. edo_first .. "ed" .. equave_letter .. "|" .. edo_first .. "]] & [[" .. edo_second .. "ed" .. equave_letter .. "|" .. edo_second .. "]]"
	})

	table.insert(data, {
		"Generator ([[" .. method .. "]])",
		"~" .. genfrac .. " = " .. tuning .. "{{c}}"
	})

	if mos ~= "0" then
		table.insert(data, {
			"MOS scales",
			mos
		})
	end

	table.insert(data, {
		"Ploidacot",
		ploidacot
	})
	
	if pergen ~= "0" then
		table.insert(data, {
			"Pergen",
			pergen
		})
	end

	if colorname ~= "0" then
		table.insert(data, {
			"Color name",
			colorname
		})
	end
	
	-- error and stuff
	local limit_text
	if equave_letter == "o" then
		limit_text = "-odd-limit"
	elseif equave_letter == "t" then
		limit_text = "-throdd-limit"
	else
		limit_text = "-integer-limit"
	end
	local string1 = limit1 .. limit_text .. ": " .. acc1 .. "{{c}}"
	local string2 = limit1 .. limit_text .. ": " .. comp1 .. " notes"
	if limit2 ~= "0" then
		string1 = string1 .. "; <br>" .. limit2 .. limit_text .. ": " .. acc2 .. "{{c}}"
		string2 = string2 .. "; <br>" .. limit2 .. limit_text .. ": " .. comp2 .. " notes"
	end

	table.insert(data, {
		"Minimax error",
		string1
	})

	table.insert(data, {
		"Target scale size",
		string2
	})

	local result = infobox.build(
		name,
		data
	)
	
	return frame:preprocess(debugg == true and "<pre>" .. result .. "</pre>" or result)
end

function p.digit2greek(number, purpose)

	local greek
	
	if number == "1" then
		if purpose == "ploid" then
			greek = "ha"
		elseif purpose == "cot" then
			greek = "mono"
		elseif purpose == "decade" then
			greek = "deca"
		else
			greek = "hen"
		end
	elseif number == "2" then
		if purpose == "decade" then
			greek = "icosa"
		elseif purpose == "unit" then
			greek = "do"
		else
			greek = "di"
		end
	elseif number == "0" then
		if purpose == "unit" then
			greek = ""
		else
			greek = "a"
		end
	else
		if number == "3" then
			if purpose == "decade" then
				greek = "tria"
			else
				greek = "tri"
			end
		elseif number == "4" then
			if purpose == "decade" then
				greek = "tessera"
			else
				greek = "tetra"
			end
		elseif number == "5" then
			if purpose == "decade" then
				greek = "pente"
			else
				greek = "penta"
			end
		elseif number == "6" then
			if purpose == "decade" then
				greek = "hexe"
			else
				greek = "hexa"
			end
		elseif number == "7" then
			if purpose == "decade" then
				greek = "hebdome"
			else
				greek = "hepta"
			end
		elseif number == "8" then
			if purpose == "decade" then
				greek = "ogdoe"
			elseif purpose == "unit" then
				greek = "octo"
			else
				greek = "octa"
			end
		elseif number == "9" then
			if purpose == "decade" then
				greek = "enene"
			else
				greek = "ennea"
			end
		end
		if purpose == "decade" then
			greek = greek .. "conta"
		end
	end

	return greek
end

function p.num2greek(number, purpose)

	local greek
	
	if string.len(number) == 1 then
		greek = p.digit2greek(number, purpose)
	elseif string.len(number) == 2 then
		local unit = string.char(string.byte(number, 2))
		local decade = string.char(string.byte(number, 1))
		
		greek = p.digit2greek(unit, "unit") .. p.digit2greek(decade, "decade")
	end
	return greek
end

function p.digit2greeklet(number, purpose)

	local greek
	
	if number == "1" then
		if purpose == "decade" then
			greek = "iota-"
		elseif purpose == "unit" then
			greek = "alpha-"
		end
	elseif number == "2" then
		if purpose == "decade" then
			greek = "kappa-"
		elseif purpose == "unit" then
			greek = "beta-"
		end
	elseif number == "3" then
		if purpose == "decade" then
			greek = "lambda-"
		elseif purpose == "unit" then
			greek = "gamma-"
		end
	elseif number == "4" then
		if purpose == "decade" then
			greek = "mu-"
		elseif purpose == "unit" then
			greek = "delta-"
		end
	elseif number == "5" then
		if purpose == "decade" then
			greek = "nu-"
		elseif purpose == "unit" then
			greek = "epsilon-"
		end
	elseif number == "6" then
		if purpose == "decade" then
			greek = "xi-"
		elseif purpose == "unit" then
			greek = "wau-"
		end
	elseif number == "7" then
		if purpose == "decade" then
			greek = "omicron-"
		elseif purpose == "unit" then
			greek = "zeta-"
		end
	elseif number == "8" then
		if purpose == "decade" then
			greek = "pi-"
		elseif purpose == "unit" then
			greek = "eta-"
		end
	elseif number == "9" then
		if purpose == "decade" then
			greek = "qoppa-"
		elseif purpose == "unit" then
			greek = "theta-"
		end	
	elseif number == "0" then
		greek = ""
	elseif number == "-1" then
		greek = "omega-"
	end

	return greek
end

function p.num2greeklet(number)

	local greek
	
	if string.len(number) == 1 then
		greek = p.digit2greeklet(number, "unit")
	elseif string.len(number) == 2 then
		local unit = string.char(string.byte(number, 2))
		local decade = string.char(string.byte(number, 1))
		
		greek = p.digit2greeklet(decade, "decade") .. p.digit2greeklet(unit, "unit")
	end
	return greek
end

return p