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	<title>Module:Sandbox/Gnosygnu - Revision history</title>
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		<id>https://stockhub.co/index.php?title=Module:Sandbox/Gnosygnu&amp;diff=145466&amp;oldid=prev</id>
		<title>68.197.20.147 at 12:49, 12 August 2020</title>
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		<updated>2020-08-12T12:49:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;--This Module is for Lua experimentation. No other pages refer to it.&lt;br /&gt;
&lt;br /&gt;
local p = {}&lt;br /&gt;
&lt;br /&gt;
function p.siteinfo(frame)&lt;br /&gt;
  return mw.site.siteName .. &amp;#039;--&amp;#039; .. &amp;#039;(&amp;#039; .. mw.site.server .. &amp;#039;)&amp;#039;&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.getEntity(frame)&lt;br /&gt;
  local v = mw.wikibase.getEntity();&lt;br /&gt;
  if v == nil then&lt;br /&gt;
  	return &amp;#039;nil&amp;#039;&lt;br /&gt;
  else&lt;br /&gt;
  	return v.id&lt;br /&gt;
  end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
Test with:&lt;br /&gt;
* Debug console&lt;br /&gt;
** Code:&lt;br /&gt;
:: =p.ustring_find({args={[1]=&amp;#039;abab&amp;#039;, [2]=&amp;#039;b&amp;#039;, [3]=3, [4]=&amp;#039;true&amp;#039;}})&lt;br /&gt;
** Returns -&amp;gt; 4 (2nd b, not 1st b)&lt;br /&gt;
* https://en.wikipedia.org/wiki/Project:Sandbox&lt;br /&gt;
** Code:&lt;br /&gt;
:: {{#invoke:Sandbox/Gnosygnu|ustring_find|abab|b|3|true}}&lt;br /&gt;
** Returns -&amp;gt; 4 (2nd b, not 1st b)&lt;br /&gt;
--]]&lt;br /&gt;
function p.ustring_find(frame)&lt;br /&gt;
  local args = frame.args;&lt;br /&gt;
  local rslt = {mw.ustring.find(args[1], args[2], tonumber(args[3]), args[4] == &amp;#039;true&amp;#039;)};&lt;br /&gt;
&lt;br /&gt;
  local rv = &amp;#039;&amp;#039;;&lt;br /&gt;
  local rslt_len = #rslt;&lt;br /&gt;
  for i=1,rslt_len do&lt;br /&gt;
    if i ~= 1 then&lt;br /&gt;
      rv = rv .. &amp;#039;;&amp;#039;&lt;br /&gt;
    end&lt;br /&gt;
    rv = rv .. rslt[i]&lt;br /&gt;
  end&lt;br /&gt;
  return rv;&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.ustring_gsub(frame)&lt;br /&gt;
  local args = frame.args;&lt;br /&gt;
  local rslt = {mw.ustring.gsub(args[1], args[2], args[3])};&lt;br /&gt;
&lt;br /&gt;
  local rv = &amp;#039;&amp;#039;;&lt;br /&gt;
  local rslt_len = #rslt;&lt;br /&gt;
  for i=1,rslt_len do&lt;br /&gt;
    if i ~= 1 then&lt;br /&gt;
      rv = rv .. &amp;#039;;&amp;#039;&lt;br /&gt;
    end&lt;br /&gt;
    rv = rv .. rslt[i]&lt;br /&gt;
  end&lt;br /&gt;
  return rv;&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.test18(frame)&lt;br /&gt;
  return mw.language.fetchLanguageName(frame.args[1], &amp;#039;en&amp;#039;);	&lt;br /&gt;
--  return mw.language.fetchLanguageName(frame.args[1]);&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--=p.resolvePropertyId({args={[1]=&amp;#039;P123&amp;#039;}})&lt;br /&gt;
function p.resolvePropertyId(frame)&lt;br /&gt;
  return mw.wikibase.resolvePropertyId(frame.args[1]);&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.getParentTitle(frame)&lt;br /&gt;
  return frame:getParent():getTitle()	&lt;br /&gt;
end&lt;br /&gt;
function p.getCurrentTitle(frame)&lt;br /&gt;
  return frame:getTitle()&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.wikiencode( s )&lt;br /&gt;
	local ret = string.gsub( s, &amp;#039;([^a-zA-Z0-9!$()*,./:;@~_-])&amp;#039;, function ( c )&lt;br /&gt;
		if c == &amp;#039; &amp;#039; then&lt;br /&gt;
			return &amp;#039;_&amp;#039;&lt;br /&gt;
		else&lt;br /&gt;
			return string.len(c) .. &amp;quot;:&amp;quot; .. string.byte( c, 1, 1 ) .. &amp;quot;;&amp;quot;&lt;br /&gt;
--			return string.format( &amp;#039;%%%02X&amp;#039;, string.byte( c, 1, 1 ) )&lt;br /&gt;
		end&lt;br /&gt;
	end );&lt;br /&gt;
	return ret&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.test19()&lt;br /&gt;
	return string.gsub(&amp;quot;aæb&amp;quot;, &amp;#039;([^a-zA-Z0-9!$()*,./:;@~_-])&amp;#039;, &amp;quot;x&amp;quot;)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.test_726()&lt;br /&gt;
--    mw.ustring.gsub(&amp;quot;仰&amp;quot;, &amp;quot;()[仰]+()&amp;quot;, function(pos1, pos2)&lt;br /&gt;
    mw.ustring.gsub(&amp;quot;a&amp;quot;, &amp;quot;()a()&amp;quot;, function(pos1, pos2)&lt;br /&gt;
        mw.log(pos1);&lt;br /&gt;
        mw.log(pos2);&lt;br /&gt;
    end)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.formatNum()&lt;br /&gt;
   local lang = mw.getContentLanguage();&lt;br /&gt;
   local formatted_num = lang:formatNum(7.68e-000005);&lt;br /&gt;
   return formatted_num;&lt;br /&gt;
end&lt;br /&gt;
function p.test_732()&lt;br /&gt;
	mw.log(&amp;#039;should not print mw.log&amp;#039;);&lt;br /&gt;
    mw.ustring.gsub(&amp;quot;a&amp;quot;, &amp;quot;(a)(%f[%s])&amp;quot;, function(pos1, pos2)&lt;br /&gt;
        mw.log(&amp;#039;match&amp;#039;, &amp;quot;`&amp;quot; .. pos1 .. &amp;quot;`&amp;quot;, &amp;quot;`&amp;quot; .. pos2 .. &amp;quot;`&amp;quot;);&lt;br /&gt;
    end)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.test_732_frontier()&lt;br /&gt;
    return mw.ustring.gsub(&amp;quot;a b c&amp;quot;, &amp;quot;%f[%W]&amp;quot;, &amp;quot;()&amp;quot;)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.test_726_anypos()&lt;br /&gt;
    mw.ustring.gsub(&amp;quot;abcd&amp;quot;, &amp;quot;a(bc)d&amp;quot;, function(arg1)&lt;br /&gt;
        mw.log(&amp;#039;basic&amp;#039;, arg1, arg2);&lt;br /&gt;
    end)&lt;br /&gt;
&lt;br /&gt;
    mw.ustring.gsub(&amp;quot;abcd&amp;quot;, &amp;quot;a()bcd&amp;quot;, function(arg1)&lt;br /&gt;
        mw.log(&amp;#039;empty&amp;#039;, arg1, arg2);&lt;br /&gt;
    end)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.test_727(id2)&lt;br /&gt;
--  local id2 = frame.args[1];&lt;br /&gt;
  --P1362&amp;#039;s format regex: \p{Lu}[\p{L}\d_&amp;#039;,\.\-\(\)\*/–]{3,59} (e.g. Abcd)&lt;br /&gt;
--  local class = &amp;quot;[%a%d_&amp;#039;,%.%-%(%)%*/–]&amp;quot;&lt;br /&gt;
  local class = &amp;quot;[%a]&amp;quot;&lt;br /&gt;
--  local regex = &amp;quot;^%u&amp;quot;..string.rep(class, 3)..string.rep(class..&amp;quot;?&amp;quot;, 56)..&amp;quot;$&amp;quot;&lt;br /&gt;
  local regex = &amp;quot;^%u&amp;quot;..string.rep(class, 3)..string.rep(class..&amp;quot;?&amp;quot;, 56)..&amp;quot;$&amp;quot;&lt;br /&gt;
--  dbg(id2);&lt;br /&gt;
--  dbg(regex)&lt;br /&gt;
  if not mw.ustring.match( id2, regex ) then&lt;br /&gt;
    return &amp;quot;match:n&amp;quot;&lt;br /&gt;
  end&lt;br /&gt;
  return &amp;#039;match:y&amp;#039;&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.test_775(s)&lt;br /&gt;
	return tonumber(s)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--&lt;br /&gt;
-- This module implements [[Template:Percentage]]&lt;br /&gt;
--&lt;br /&gt;
&lt;br /&gt;
local math_module = require( &amp;quot;Module:Math&amp;quot; )&lt;br /&gt;
local precision = math_module._precision&lt;br /&gt;
local sortkey = require( &amp;quot;Module:Sortkey&amp;quot; )&lt;br /&gt;
&lt;br /&gt;
local function rnd(num, digits)&lt;br /&gt;
	-- This function implements {{rnd}}&lt;br /&gt;
	mw.log(&amp;#039;a11&amp;#039;, num, digits);&lt;br /&gt;
	local x = p._precision_format(tostring(num), digits)&lt;br /&gt;
	mw.log(&amp;#039;a12&amp;#039;, x);&lt;br /&gt;
	return x;&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
local function oom(num)&lt;br /&gt;
	-- This function implements {{order of magnitude}}&lt;br /&gt;
	return math_module._order(tostring(num))&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function _nonscinote(num)&lt;br /&gt;
	-- This function undoes scientific notation&lt;br /&gt;
	mw.log(num);&lt;br /&gt;
	if mw.ustring.match(num or &amp;#039;&amp;#039;, &amp;#039;^%s*(%d)%.(%d+)&amp;lt;span[^&amp;lt;&amp;gt;]*&amp;gt;×&amp;lt;/span&amp;gt;10&amp;lt;sup&amp;gt;([%-−]*)(%d)&amp;lt;/sup&amp;gt;%s*$&amp;#039;) then&lt;br /&gt;
		local a,b,c,d = mw.ustring.match(num or &amp;#039;&amp;#039;, &amp;#039;^%s*(%d)%.(%d+)&amp;lt;span[^&amp;lt;&amp;gt;]*&amp;gt;×&amp;lt;/span&amp;gt;10&amp;lt;sup&amp;gt;([%-−]*)(%d)&amp;lt;/sup&amp;gt;%s*$&amp;#039;)&lt;br /&gt;
		mw.log(&amp;#039;x&amp;#039;, a, b, c, d);&lt;br /&gt;
		d = tonumber(d) or 1&lt;br /&gt;
		if c ~= &amp;#039;&amp;#039; then&lt;br /&gt;
			return &amp;#039;0.&amp;#039; .. mw.ustring.rep(&amp;#039;0&amp;#039;, d - 1) .. a .. b&lt;br /&gt;
		else&lt;br /&gt;
			return a .. mw.ustring.sub(b .. mw.ustring.rep(&amp;#039;0&amp;#039;, d ), 1, d)&lt;br /&gt;
		end&lt;br /&gt;
	end&lt;br /&gt;
	return num&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
local function fmtout(num,snote)&lt;br /&gt;
	if snote then&lt;br /&gt;
		return _nonscinote(num)&lt;br /&gt;
	else&lt;br /&gt;
		return num&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._percentage(n1, n2, prec, suffix, pad, sigfig, sn)&lt;br /&gt;
	local pct = 100*n1/n2&lt;br /&gt;
	skey = &amp;#039;&amp;lt;span data-sort-value=&amp;quot;&amp;#039;&lt;br /&gt;
			.. sortkey._sortKeyForNumber(pct) .. &amp;#039;♠&amp;quot; style=&amp;quot;display:none&amp;quot;&amp;gt;&amp;lt;/span&amp;gt;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
	-- prec = math.floor(prec)&lt;br /&gt;
&lt;br /&gt;
	if sigfig ~= &amp;#039;&amp;#039; then&lt;br /&gt;
		if pct ~= 0 then&lt;br /&gt;
			mw.log(&amp;#039;a1&amp;#039;, rnd(pct, tonumber(sigfig) - oom(pct) - 1));&lt;br /&gt;
			mw.log(&amp;#039;b1&amp;#039;, fmtout(rnd(pct, tonumber(sigfig) - oom(pct) - 1), sn));&lt;br /&gt;
			return skey .. fmtout(rnd(pct, tonumber(sigfig) - oom(pct) - 1), sn) .. suffix&lt;br /&gt;
		else&lt;br /&gt;
			mw.log(&amp;#039;b&amp;#039;);&lt;br /&gt;
			return skey .. fmtout(rnd(pct, tonumber(sigfig) - 3), sn) .. suffix&lt;br /&gt;
		end&lt;br /&gt;
	end&lt;br /&gt;
	if pad ~= &amp;#039;&amp;#039; then&lt;br /&gt;
			mw.log(&amp;#039;c&amp;#039;);&lt;br /&gt;
		return skey .. fmtout(rnd(pct, prec), sn) .. suffix&lt;br /&gt;
	end&lt;br /&gt;
	&lt;br /&gt;
	prec = (prec &amp;lt; 0) and 0 or prec&lt;br /&gt;
	if pct ~= 0 then&lt;br /&gt;
		pct = ((pct &amp;lt; 0) and -1 or 1)*math.floor(math.abs(pct * 10^prec) + 0.5) / 10^prec&lt;br /&gt;
	end&lt;br /&gt;
	&lt;br /&gt;
	mw.log(&amp;#039;d&amp;#039;);&lt;br /&gt;
	return skey .. fmtout(pct, sn) .. suffix&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
local yesno, getArgs -- lazily initialized&lt;br /&gt;
local wrap = {} -- Holds wrapper functions that process arguments from #invoke. These act as intemediary between functions meant for #invoke and functions meant for Lua.&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
Helper functions used to avoid redundant code.&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
local function err(msg)&lt;br /&gt;
	-- Generates wikitext error messages.&lt;br /&gt;
	return mw.ustring.format(&amp;#039;&amp;lt;strong class=&amp;quot;error&amp;quot;&amp;gt;Formatting error: %s&amp;lt;/strong&amp;gt;&amp;#039;, msg)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
local function unpackNumberArgs(args)&lt;br /&gt;
	-- Returns an unpacked list of arguments specified with numerical keys.&lt;br /&gt;
	local ret = {}&lt;br /&gt;
	for k, v in pairs(args) do&lt;br /&gt;
		if type(k) == &amp;#039;number&amp;#039; then&lt;br /&gt;
			table.insert(ret, v)&lt;br /&gt;
		end&lt;br /&gt;
	end&lt;br /&gt;
	return unpack(ret)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
local function makeArgArray(...)&lt;br /&gt;
	-- Makes an array of arguments from a list of arguments that might include nils.&lt;br /&gt;
	local args = {...} -- Table of arguments. It might contain nils or non-number values, so we can&amp;#039;t use ipairs.&lt;br /&gt;
	local nums = {} -- Stores the numbers of valid numerical arguments.&lt;br /&gt;
	local ret = {}&lt;br /&gt;
	for k, v in pairs(args) do&lt;br /&gt;
		v = p._cleanNumber(v)&lt;br /&gt;
		if v then&lt;br /&gt;
			nums[#nums + 1] = k&lt;br /&gt;
			args[k] = v&lt;br /&gt;
		end&lt;br /&gt;
	end&lt;br /&gt;
	table.sort(nums)&lt;br /&gt;
	for i, num in ipairs(nums) do&lt;br /&gt;
		ret[#ret + 1] = args[num]&lt;br /&gt;
	end&lt;br /&gt;
	return ret&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
local function fold(func, ...)&lt;br /&gt;
	-- Use a function on all supplied arguments, and return the result. The function must accept two numbers as parameters,&lt;br /&gt;
	-- and must return a number as an output. This number is then supplied as input to the next function call.&lt;br /&gt;
	local vals = makeArgArray(...)&lt;br /&gt;
	local count = #vals -- The number of valid arguments&lt;br /&gt;
	if count == 0 then return&lt;br /&gt;
		-- Exit if we have no valid args, otherwise removing the first arg would cause an error.&lt;br /&gt;
		nil, 0&lt;br /&gt;
	end&lt;br /&gt;
	local ret = table.remove(vals, 1)&lt;br /&gt;
	for _, val in ipairs(vals) do&lt;br /&gt;
		ret = func(ret, val)&lt;br /&gt;
	end&lt;br /&gt;
	return ret, count&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
Fold arguments by selectively choosing values (func should return when to choose the current &amp;quot;dominant&amp;quot; value).&lt;br /&gt;
]]&lt;br /&gt;
local function binary_fold(func, ...)&lt;br /&gt;
	local value = fold((function(a, b) if func(a, b) then return a else return b end end), ...)&lt;br /&gt;
	return value&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
random&lt;br /&gt;
&lt;br /&gt;
Generate a random number&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke: Math | random }}&lt;br /&gt;
{{#invoke: Math | random | maximum value }}&lt;br /&gt;
{{#invoke: Math | random | minimum value | maximum value }}&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.random(args)&lt;br /&gt;
	local first = p._cleanNumber(args[1])&lt;br /&gt;
	local second = p._cleanNumber(args[2])&lt;br /&gt;
	return p._random(first, second)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._random(first, second)&lt;br /&gt;
	math.randomseed(mw.site.stats.edits + mw.site.stats.pages + os.time() + math.floor(os.clock() * 1000000000))&lt;br /&gt;
	-- math.random will throw an error if given an explicit nil parameter, so we need to use if statements to check the params.&lt;br /&gt;
	if first and second then&lt;br /&gt;
		if first &amp;lt;= second then -- math.random doesn&amp;#039;t allow the first number to be greater than the second.&lt;br /&gt;
			return math.random(first, second)&lt;br /&gt;
		end&lt;br /&gt;
	elseif first then&lt;br /&gt;
		return math.random(first)&lt;br /&gt;
	else&lt;br /&gt;
		return math.random()&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
order&lt;br /&gt;
&lt;br /&gt;
Determine order of magnitude of a number&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke: Math | order | value }}&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.order(args)&lt;br /&gt;
	local input_string = (args[1] or args.x or &amp;#039;0&amp;#039;);&lt;br /&gt;
	local input_number = p._cleanNumber(input_string);&lt;br /&gt;
	if input_number == nil then&lt;br /&gt;
		return err(&amp;#039;order of magnitude input appears non-numeric&amp;#039;)&lt;br /&gt;
	else&lt;br /&gt;
		return p._order(input_number)&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._order(x)&lt;br /&gt;
	if x == 0 then return 0 end&lt;br /&gt;
	return math.floor(math.log10(math.abs(x)))&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
precision&lt;br /&gt;
&lt;br /&gt;
Detemines the precision of a number using the string representation&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{ #invoke: Math | precision | value }}&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.precision(args)&lt;br /&gt;
	local input_string = (args[1] or args.x or &amp;#039;0&amp;#039;);&lt;br /&gt;
	local trap_fraction = args.check_fraction;&lt;br /&gt;
	local input_number;&lt;br /&gt;
&lt;br /&gt;
	if not yesno then&lt;br /&gt;
		yesno = require(&amp;#039;Module:Yesno&amp;#039;)&lt;br /&gt;
	end&lt;br /&gt;
	if yesno(trap_fraction, true) then -- Returns true for all input except nil, false, &amp;quot;no&amp;quot;, &amp;quot;n&amp;quot;, &amp;quot;0&amp;quot; and a few others. See [[Module:Yesno]].&lt;br /&gt;
		local pos = string.find(input_string, &amp;#039;/&amp;#039;, 1, true);&lt;br /&gt;
		if pos ~= nil then&lt;br /&gt;
			if string.find(input_string, &amp;#039;/&amp;#039;, pos + 1, true) == nil then&lt;br /&gt;
				local denominator = string.sub(input_string, pos+1, -1);&lt;br /&gt;
				local denom_value = tonumber(denominator);&lt;br /&gt;
				if denom_value ~= nil then&lt;br /&gt;
					return math.log10(denom_value);&lt;br /&gt;
				end&lt;br /&gt;
			end&lt;br /&gt;
		end&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	input_number, input_string = p._cleanNumber(input_string);&lt;br /&gt;
	if input_string == nil then&lt;br /&gt;
		return err(&amp;#039;precision input appears non-numeric&amp;#039;)&lt;br /&gt;
	else&lt;br /&gt;
		return p._precision(input_string)&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._precision(x)&lt;br /&gt;
	if type(x) == &amp;#039;number&amp;#039; then&lt;br /&gt;
		x = tostring(x)&lt;br /&gt;
	end&lt;br /&gt;
	x = string.upper(x)&lt;br /&gt;
&lt;br /&gt;
	local decimal = x:find(&amp;#039;%.&amp;#039;)&lt;br /&gt;
	local exponent_pos = x:find(&amp;#039;E&amp;#039;)&lt;br /&gt;
	local result = 0;&lt;br /&gt;
&lt;br /&gt;
	if exponent_pos ~= nil then&lt;br /&gt;
		local exponent = string.sub(x, exponent_pos + 1)&lt;br /&gt;
		x = string.sub(x, 1, exponent_pos - 1)&lt;br /&gt;
		result = result - tonumber(exponent)&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	if decimal ~= nil then&lt;br /&gt;
		result = result + string.len(x) - decimal&lt;br /&gt;
		return result&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	local pos = string.len(x);&lt;br /&gt;
	while x:byte(pos) == string.byte(&amp;#039;0&amp;#039;) do&lt;br /&gt;
		pos = pos - 1&lt;br /&gt;
		result = result - 1&lt;br /&gt;
		if pos &amp;lt;= 0 then&lt;br /&gt;
			return 0&lt;br /&gt;
		end&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	return result&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
max&lt;br /&gt;
&lt;br /&gt;
Finds the maximum argument&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke:Math| max | value1 | value2 | ... }}&lt;br /&gt;
&lt;br /&gt;
Note, any values that do not evaluate to numbers are ignored.&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.max(args)&lt;br /&gt;
	return p._max(unpackNumberArgs(args))&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._max(...)&lt;br /&gt;
	local max_value = binary_fold((function(a, b) return a &amp;gt; b end), ...)&lt;br /&gt;
	if max_value then&lt;br /&gt;
		return max_value&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
median&lt;br /&gt;
&lt;br /&gt;
Find the median of set of numbers&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke:Math | median | number1 | number2 | ...}}&lt;br /&gt;
OR&lt;br /&gt;
{{#invoke:Math | median }}&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.median(args)&lt;br /&gt;
	return p._median(unpackNumberArgs(args))&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._median(...)&lt;br /&gt;
	local vals = makeArgArray(...)&lt;br /&gt;
	local count = #vals&lt;br /&gt;
	table.sort(vals)&lt;br /&gt;
&lt;br /&gt;
	if count == 0 then&lt;br /&gt;
		return 0&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	if p._mod(count, 2) == 0 then&lt;br /&gt;
		return (vals[count/2] + vals[count/2+1])/2&lt;br /&gt;
	else&lt;br /&gt;
		return vals[math.ceil(count/2)]&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
min&lt;br /&gt;
&lt;br /&gt;
Finds the minimum argument&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke:Math| min | value1 | value2 | ... }}&lt;br /&gt;
OR&lt;br /&gt;
{{#invoke:Math| min }}&lt;br /&gt;
&lt;br /&gt;
When used with no arguments, it takes its input from the parent&lt;br /&gt;
frame.  Note, any values that do not evaluate to numbers are ignored.&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.min(args)&lt;br /&gt;
	return p._min(unpackNumberArgs(args))&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._min(...)&lt;br /&gt;
	local min_value = binary_fold((function(a, b) return a &amp;lt; b end), ...)&lt;br /&gt;
	if min_value then&lt;br /&gt;
		return min_value&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
sum&lt;br /&gt;
&lt;br /&gt;
Finds the sum&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke:Math| sum | value1 | value2 | ... }}&lt;br /&gt;
OR&lt;br /&gt;
{{#invoke:Math| sum }}&lt;br /&gt;
&lt;br /&gt;
Note, any values that do not evaluate to numbers are ignored.&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.sum(args)&lt;br /&gt;
	return p._sum(unpackNumberArgs(args))&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._sum(...)&lt;br /&gt;
	local sums, count = fold((function(a, b) return a + b end), ...)&lt;br /&gt;
	if not sums then&lt;br /&gt;
		return 0&lt;br /&gt;
	else&lt;br /&gt;
		return sums&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
average&lt;br /&gt;
&lt;br /&gt;
Finds the average&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke:Math| average | value1 | value2 | ... }}&lt;br /&gt;
OR&lt;br /&gt;
{{#invoke:Math| average }}&lt;br /&gt;
&lt;br /&gt;
Note, any values that do not evaluate to numbers are ignored.&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.average(args)&lt;br /&gt;
	return p._average(unpackNumberArgs(args))&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._average(...)&lt;br /&gt;
	local sum, count = fold((function(a, b) return a + b end), ...)&lt;br /&gt;
	if not sum then&lt;br /&gt;
		return 0&lt;br /&gt;
	else&lt;br /&gt;
		return sum / count&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
round&lt;br /&gt;
&lt;br /&gt;
Rounds a number to specified precision&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke:Math | round | value | precision }}&lt;br /&gt;
&lt;br /&gt;
--]]&lt;br /&gt;
&lt;br /&gt;
function wrap.round(args)&lt;br /&gt;
	local value = p._cleanNumber(args[1] or args.value or 0)&lt;br /&gt;
	local precision = p._cleanNumber(args[2] or args.precision or 0)&lt;br /&gt;
	if value == nil or precision == nil then&lt;br /&gt;
		return err(&amp;#039;round input appears non-numeric&amp;#039;)&lt;br /&gt;
	else&lt;br /&gt;
		return p._round(value, precision)&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._round(value, precision)&lt;br /&gt;
	local rescale = math.pow(10, precision or 0);&lt;br /&gt;
	return math.floor(value * rescale + 0.5) / rescale;&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
log10&lt;br /&gt;
&lt;br /&gt;
returns the log (base 10) of a number&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke:Math | log10 | x }}&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.log10(args)&lt;br /&gt;
	return math.log10(args[1])&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
mod&lt;br /&gt;
&lt;br /&gt;
Implements the modulo operator&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke:Math | mod | x | y }}&lt;br /&gt;
&lt;br /&gt;
--]]&lt;br /&gt;
&lt;br /&gt;
function wrap.mod(args)&lt;br /&gt;
	local x = p._cleanNumber(args[1])&lt;br /&gt;
	local y = p._cleanNumber(args[2])&lt;br /&gt;
	if not x then&lt;br /&gt;
		return err(&amp;#039;first argument to mod appears non-numeric&amp;#039;)&lt;br /&gt;
	elseif not y then&lt;br /&gt;
		return err(&amp;#039;second argument to mod appears non-numeric&amp;#039;)&lt;br /&gt;
	else&lt;br /&gt;
		return p._mod(x, y)&lt;br /&gt;
	end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._mod(x, y)&lt;br /&gt;
	local ret = x % y&lt;br /&gt;
	if not (0 &amp;lt;= ret and ret &amp;lt; y) then&lt;br /&gt;
		ret = 0&lt;br /&gt;
	end&lt;br /&gt;
	return ret&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
gcd&lt;br /&gt;
&lt;br /&gt;
Calculates the greatest common divisor of multiple numbers&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke:Math | gcd | value 1 | value 2 | value 3 | ... }}&lt;br /&gt;
--]]&lt;br /&gt;
&lt;br /&gt;
function wrap.gcd(args)&lt;br /&gt;
	return p._gcd(unpackNumberArgs(args))&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._gcd(...)&lt;br /&gt;
	local function findGcd(a, b)&lt;br /&gt;
		local r = b&lt;br /&gt;
		local oldr = a&lt;br /&gt;
		while r ~= 0 do&lt;br /&gt;
			local quotient = math.floor(oldr / r)&lt;br /&gt;
			oldr, r = r, oldr - quotient * r&lt;br /&gt;
		end&lt;br /&gt;
		if oldr &amp;lt; 0 then&lt;br /&gt;
			oldr = oldr * -1&lt;br /&gt;
		end&lt;br /&gt;
		return oldr&lt;br /&gt;
	end&lt;br /&gt;
	local result, count = fold(findGcd, ...)&lt;br /&gt;
	return result&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
precision_format&lt;br /&gt;
&lt;br /&gt;
Rounds a number to the specified precision and formats according to rules&lt;br /&gt;
originally used for {{template:Rnd}}.  Output is a string.&lt;br /&gt;
&lt;br /&gt;
Usage:&lt;br /&gt;
{{#invoke: Math | precision_format | number | precision }}&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function wrap.precision_format(args)&lt;br /&gt;
	local value_string = args[1] or 0&lt;br /&gt;
	local precision = args[2] or 0&lt;br /&gt;
	return p._precision_format(value_string, precision)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p._precision_format(value_string, precision)&lt;br /&gt;
	-- For access to Mediawiki built-in formatter.&lt;br /&gt;
	local lang = mw.getContentLanguage();&lt;br /&gt;
mw.log(&amp;#039;e&amp;#039;);&lt;br /&gt;
	local value&lt;br /&gt;
	value, value_string = p._cleanNumber(value_string)&lt;br /&gt;
	precision = p._cleanNumber(precision)&lt;br /&gt;
&lt;br /&gt;
	-- Check for non-numeric input&lt;br /&gt;
	if value == nil or precision == nil then&lt;br /&gt;
		return err(&amp;#039;invalid input when rounding&amp;#039;)&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	local current_precision = p._precision(value)&lt;br /&gt;
	local order = p._order(value)&lt;br /&gt;
&lt;br /&gt;
	-- Due to round-off effects it is neccesary to limit the returned precision under&lt;br /&gt;
	-- some circumstances because the terminal digits will be inaccurately reported.&lt;br /&gt;
	if order + precision &amp;gt;= 14 then&lt;br /&gt;
		if order + p._precision(value_string) &amp;gt;= 14 then&lt;br /&gt;
			precision = 13 - order;&lt;br /&gt;
		end&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	-- If rounding off, truncate extra digits&lt;br /&gt;
	if precision &amp;lt; current_precision then&lt;br /&gt;
		value = p._round(value, precision)&lt;br /&gt;
		current_precision = p._precision(value)&lt;br /&gt;
&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
mw.log(&amp;#039;d10&amp;#039;, value);&lt;br /&gt;
mw.log(&amp;#039;d10a&amp;#039;, math.abs(value));&lt;br /&gt;
	local formatted_num = lang:formatNum(math.abs(value))&lt;br /&gt;
mw.log(&amp;#039;d11&amp;#039;, formatted_num);&lt;br /&gt;
	local sign&lt;br /&gt;
&lt;br /&gt;
	-- Use proper unary minus sign rather than ASCII default&lt;br /&gt;
	if value &amp;lt; 0 then&lt;br /&gt;
		sign = &amp;#039;−&amp;#039;&lt;br /&gt;
	else&lt;br /&gt;
		sign = &amp;#039;&amp;#039;&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	-- Handle cases requiring scientific notation&lt;br /&gt;
	if string.find(formatted_num, &amp;#039;E&amp;#039;, 1, true) ~= nil or math.abs(order) &amp;gt;= 9 then&lt;br /&gt;
		value = value * math.pow(10, -order)&lt;br /&gt;
		current_precision = current_precision + order&lt;br /&gt;
		precision = precision + order&lt;br /&gt;
		formatted_num = lang:formatNum(math.abs(value))&lt;br /&gt;
mw.log(&amp;#039;d&amp;#039;, formatted_num);&lt;br /&gt;
	else&lt;br /&gt;
		order = 0;&lt;br /&gt;
	end&lt;br /&gt;
	formatted_num = sign .. formatted_num&lt;br /&gt;
&lt;br /&gt;
	-- Pad with zeros, if needed&lt;br /&gt;
	if current_precision &amp;lt; precision then&lt;br /&gt;
		local padding&lt;br /&gt;
		if current_precision &amp;lt;= 0 then&lt;br /&gt;
			if precision &amp;gt; 0 then&lt;br /&gt;
				local zero_sep = lang:formatNum(1.1)&lt;br /&gt;
				formatted_num = formatted_num .. zero_sep:sub(2,2)&lt;br /&gt;
&lt;br /&gt;
				padding = precision&lt;br /&gt;
				if padding &amp;gt; 20 then&lt;br /&gt;
					padding = 20&lt;br /&gt;
				end&lt;br /&gt;
&lt;br /&gt;
				formatted_num = formatted_num .. string.rep(&amp;#039;0&amp;#039;, padding)&lt;br /&gt;
			end&lt;br /&gt;
		else&lt;br /&gt;
			padding = precision - current_precision&lt;br /&gt;
			if padding &amp;gt; 20 then&lt;br /&gt;
				padding = 20&lt;br /&gt;
			end&lt;br /&gt;
			formatted_num = formatted_num .. string.rep(&amp;#039;0&amp;#039;, padding)&lt;br /&gt;
		end&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	-- Add exponential notation, if necessary.&lt;br /&gt;
	if order ~= 0 then&lt;br /&gt;
		-- Use proper unary minus sign rather than ASCII default&lt;br /&gt;
		if order &amp;lt; 0 then&lt;br /&gt;
			order = &amp;#039;−&amp;#039; .. lang:formatNum(math.abs(order))&lt;br /&gt;
		else&lt;br /&gt;
			order = lang:formatNum(order)&lt;br /&gt;
		end&lt;br /&gt;
&lt;br /&gt;
		formatted_num = formatted_num .. &amp;#039;&amp;lt;span style=&amp;quot;margin:0 .15em 0 .25em&amp;quot;&amp;gt;×&amp;lt;/span&amp;gt;10&amp;lt;sup&amp;gt;&amp;#039; .. order .. &amp;#039;&amp;lt;/sup&amp;gt;&amp;#039;&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	return formatted_num&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
Helper function that interprets the input numerically.  If the&lt;br /&gt;
input does not appear to be a number, attempts evaluating it as&lt;br /&gt;
a parser functions expression.&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
function p._cleanNumber(number_string)&lt;br /&gt;
	if type(number_string) == &amp;#039;number&amp;#039; then&lt;br /&gt;
		-- We were passed a number, so we don&amp;#039;t need to do any processing.&lt;br /&gt;
		return number_string, tostring(number_string)&lt;br /&gt;
	elseif type(number_string) ~= &amp;#039;string&amp;#039; or not number_string:find(&amp;#039;%S&amp;#039;) then&lt;br /&gt;
		-- We were passed a non-string or a blank string, so exit.&lt;br /&gt;
		return nil, nil;&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	-- Attempt basic conversion&lt;br /&gt;
	local number = tonumber(number_string)&lt;br /&gt;
&lt;br /&gt;
	-- If failed, attempt to evaluate input as an expression&lt;br /&gt;
	if number == nil then&lt;br /&gt;
		local success, result = pcall(mw.ext.ParserFunctions.expr, number_string)&lt;br /&gt;
		if success then&lt;br /&gt;
			number = tonumber(result)&lt;br /&gt;
			number_string = tostring(number)&lt;br /&gt;
		else&lt;br /&gt;
			number = nil&lt;br /&gt;
			number_string = nil&lt;br /&gt;
		end&lt;br /&gt;
	else&lt;br /&gt;
		number_string = number_string:match(&amp;quot;^%s*(.-)%s*$&amp;quot;) -- String is valid but may contain padding, clean it.&lt;br /&gt;
		number_string = number_string:match(&amp;quot;^%+(.*)$&amp;quot;) or number_string -- Trim any leading + signs.&lt;br /&gt;
		if number_string:find(&amp;#039;^%-?0[xX]&amp;#039;) then&lt;br /&gt;
			-- Number is using 0xnnn notation to indicate base 16; use the number that Lua detected instead.&lt;br /&gt;
			number_string = tostring(number)&lt;br /&gt;
		end&lt;br /&gt;
	end&lt;br /&gt;
&lt;br /&gt;
	return number, number_string&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
--[[&lt;br /&gt;
Wrapper function that does basic argument processing. This ensures that all functions from #invoke can use either the current&lt;br /&gt;
frame or the parent frame, and it also trims whitespace for all arguments and removes blank arguments.&lt;br /&gt;
]]&lt;br /&gt;
&lt;br /&gt;
local mt = { __index = function(t, k)&lt;br /&gt;
	return function(frame)&lt;br /&gt;
		if not getArgs then&lt;br /&gt;
			getArgs = require(&amp;#039;Module:Arguments&amp;#039;).getArgs&lt;br /&gt;
		end&lt;br /&gt;
		return wrap[k](getArgs(frame))  -- Argument processing is left to Module:Arguments. Whitespace is trimmed and blank arguments are removed.&lt;br /&gt;
	end&lt;br /&gt;
end }&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
return p&lt;/div&gt;</summary>
		<author><name>68.197.20.147</name></author>
	</entry>
</feed>