Module:Greek numeral

-- Convert standard numbers to greek numerals, and vice versa -- Gts-tg@el wiki, Aug. 2017

local p = {}

local greek_numerals = { ["α"] = 1,    -- ἄλφα / alpha ["β"] = 2,    -- βῆτα / beta ["γ"] = 3,    -- γάμμα / gamma ["δ"] = 4,    -- δέλτα / delta ["ε"] = 5,    -- ἔψιλον / epsilon ["Ϛ"] = 6,    -- δίγαμμα / digamma ["ζ"] = 7,    -- ζῆτα / zeta ["η"] = 8,    -- ῆτα / heta ["θ"] = 9,    -- θῆτα / theta ["ι"] = 10,   -- ιῶτα / iota ["κ"] = 20,   -- κάππα / kappa ["λ"] = 30,   -- λάμδα / lamda ["μ"] = 40,   -- μῦ / mu	["ν"]  = 50,   -- νῦ / nu	["ξ"]  = 60,   -- ξί / xi	["ο"]  = 70,   -- ὄμικρον / omikron ["π"] = 80,   -- πί / pi	["ϟ"]  = 90,   -- κόππα / koppa ["ρ"] = 100,  -- ρό / rho ["σ"] = 200,  -- σίγμα / sigma ["ς"] = 200,  -- σίγμα / sigma	(final variation) ["τ"] = 300,  -- ταῦ / ταυ ["υ"] = 400,  -- ύψιλον / ypsilon ["φ"] = 500,  -- φί / phi ["χ"] = 600,  -- χί / chi ["ψ"] = 700,  -- ψί / psi ["ω"] = 800,  -- ὠμέγα / omega ["ϡ"] = 900,  -- σαμπί / sampi }

-- used for math graph template local numeral_latin_transliteration = { ["α"] = 'alpha', ["β"] = 'beta', ["γ"] = 'gamma', ["δ"] = 'delta', ["ε"] = 'epsilon', ["Ϛ"] = 'digamma', ["ζ"] = 'zeta', ["η"] = 'eta', ["θ"] = 'theta', ["ι"] = 'iota', ["κ"] = 'kappa', ["λ"] = 'lambda', ["μ"] = 'mu', ["ν"] = 'nu', ["ξ"] = 'xi', ["ο"] = 'omicron', ["π"] = 'pi', ["ϟ"] = 'koppa', ["ρ"] = 'rho', ["σ"] = 'sigma', ["ς"] = 'sigma', --(final variation) ["τ"] = 'tau', ["υ"] = 'upsilon', ["φ"] = 'phi', ["χ"] = 'chi', ["ψ"] = 'psi', ["ω"] = 'omega', ["ϡ"] = 'sampi', }

-- return number corresponding to letter -- params: letter (string) -- return: number local function value(letter) if letter ~= 'Ϛ' and letter ~= 'ϟ' and letter ~= 'ϡ' then letter = mw.ustring.lower(letter) end return greek_numerals[letter] end

-- letter value * 1000 -- params: letter (string), total (number) -- return: number local function thousandth(letter, total) if letter ~= false then total = total - value(letter) -- remove previous addition as simple number total = total + ( value(letter) * 1000 ) end return total end

-- reverse table (index to values, values to index) -- params: tbl (table) -- return: table local function reverse_table(tbl) local reversedTable = {}

for letter, value in pairs(tbl) do       reversedTable[value] = letter end return reversedTable end

-- special notation for numbers > 9999 local function mu_notation(greek_number, digits) local result = '' local postfix = '' -- digits greater than 9999 for index, digit in pairs(digits) do 	-- mw.log(digit) result = result .. '\\' .. numeral_latin_transliteration[digit] greek_number = greek_number:gsub(digit, "", 1) end if greek_number ~= '' then -- if not all digits are multiples of myriad postfix = 	"͵" .. greek_number .. "´" end result = '$$\\stackrel{' .. result .. '}{\\Mu}$$' .. postfix return result end

-- convert standard number to greek -- params: frame (obj) -- return: string function p.to_greek(frame) local number = frame.args[1] local tbl = null local result = '' local big_values = {} local m_notation = false if tonumber(number) > 9999 then m_notation = true end tbl = reverse_table(greek_numerals) -- reverse to [ ] = ' ' if tbl[number] ~= null then result = tbl[number] -- direct hit else local str_number = tostring(number) local highest_numeric_position = #str_number local i = 0 local index = '' for digit in str_number:gmatch"." do -- break up number digits highest_numeric_position = highest_numeric_position - 1 if tonumber(digit) > 0 then index = tonumber(digit .. mw.ustring.rep('0', highest_numeric_position)) if highest_numeric_position >= 3 then match = false while match == false do	 			     if index < 1 then index = index * 10 end if tbl[index] == nil then index = index / 10000 else result = result .. tostring(tbl[tonumber(index)]) match = true end end if highest_numeric_position > 3 then table.insert(big_values, tbl[tonumber(index)]) end else result = result .. tostring(tbl[tonumber(index)]) end end end --local d = require "Module:Debugging" --mw.log(result) --mw.log(d.dump(big_values)) end if m_notation == true then --special notation result = mu_notation(result, big_values) local frame = mw.getCurrentFrame result = frame:preprocess(result) else if tonumber(number) >= 1000 then result = ',' .. result end result = mw.ustring.upper(result) .. "´" 	end return result end

-- convert greek number to standard -- greek number sample for testing: αωκα´ = 1821 -- params: frame (obj) -- return: number function p.to_standard(frame) local greek_number = frame.args[1] local total = 0 local thousand_flag = false local prev_letter = false greek_number = greek_number:gsub("´", "") if type(greek_number) ~= 'string' then return 'Error: value ' .. greek_number .. ' is ' .. type(greek_number) .. ' instead of expected string' end -- iterate through letters for letter in mw.ustring.gmatch(greek_number, ".") do		   -- check if thousand marker exists if letter == "," then thousand_flag = true else if thousand_flag == true then total = thousandth(letter, total) thousand_flag = false end total = total + value(letter) prev_letter = letter end end if thousand_flag == true then total = thousandth(prev_letter, total) end return total end

return p