Module:Greek numeral explained

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

local p =

local greek_numerals =

-- used for math graph templatelocal numeral_latin_transliteration =

-- return number corresponding to letter-- params: letter (string)-- return: numberlocal 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: numberlocal 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 totalend

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

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

-- special notation for numbers > 9999local 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: stringfunction 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 [<number>] = '' 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: numberfunction 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 totalend

return p