<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en-GB">
	<id>https://the-democratika.com/wiki/index.php?action=history&amp;feed=atom&amp;title=Module%3AFactorization</id>
	<title>Module:Factorization - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://the-democratika.com/wiki/index.php?action=history&amp;feed=atom&amp;title=Module%3AFactorization"/>
	<link rel="alternate" type="text/html" href="https://the-democratika.com/wiki/index.php?title=Module:Factorization&amp;action=history"/>
	<updated>2026-04-04T21:57:51Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.0</generator>
	<entry>
		<id>https://the-democratika.com/wiki/index.php?title=Module:Factorization&amp;diff=5985&amp;oldid=prev</id>
		<title>&gt;Izno: use locals, move var use to where used</title>
		<link rel="alternate" type="text/html" href="https://the-democratika.com/wiki/index.php?title=Module:Factorization&amp;diff=5985&amp;oldid=prev"/>
		<updated>2023-02-08T23:50:56Z</updated>

		<summary type="html">&lt;p&gt;use locals, move var use to where used&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;local p = {}&lt;br /&gt;
&lt;br /&gt;
local function powerformat(divisor, power, productSymbol)&lt;br /&gt;
	if power &amp;lt; 1      then return &amp;#039;&amp;#039;&lt;br /&gt;
    elseif power == 1 then return divisor .. &amp;#039; &amp;#039; .. productSymbol .. &amp;#039; &amp;#039;&lt;br /&gt;
    else return divisor .. &amp;#039;&amp;lt;sup&amp;gt;&amp;#039; .. power .. &amp;#039;&amp;lt;/sup&amp;gt; &amp;#039; .. productSymbol .. &amp;#039; &amp;#039;&lt;br /&gt;
    end&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
local function format(numString, bold, big, serif)&lt;br /&gt;
    if bold then&lt;br /&gt;
    	numString = &amp;#039;&amp;lt;b&amp;gt;&amp;#039;..numString..&amp;#039;&amp;lt;/b&amp;gt;&amp;#039;&lt;br /&gt;
    end&lt;br /&gt;
&lt;br /&gt;
	local ret = (serif or big) and &amp;#039;&amp;lt;span &amp;#039; or &amp;#039;&amp;#039;&lt;br /&gt;
	if serif then ret = ret .. &amp;#039;class=&amp;quot;texhtml&amp;quot; &amp;#039; end&lt;br /&gt;
	if big   then ret = ret .. &amp;#039;style=&amp;quot;font-size:165%&amp;quot; &amp;#039; end&lt;br /&gt;
	ret = ret .. ((serif or big) and &amp;#039;&amp;gt;&amp;#039; or &amp;#039;&amp;#039;) .. numString .. ((serif or big) and &amp;#039;&amp;lt;/span&amp;gt;&amp;#039; or &amp;#039;&amp;#039;)&lt;br /&gt;
&lt;br /&gt;
    return ret&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
function p.factor(frame)&lt;br /&gt;
	&lt;br /&gt;
    local number = tonumber(frame.args[1])&lt;br /&gt;
    if number == nil then&lt;br /&gt;
    	return &amp;#039;&amp;lt;strong class=&amp;quot;error&amp;quot;&amp;gt;Error: input not recognized as a number&amp;lt;/strong&amp;gt;&amp;#039;&lt;br /&gt;
    end&lt;br /&gt;
    number = math.floor(number)&lt;br /&gt;
    if number &amp;lt; 2 or number &amp;gt; 1000000000 or number == math.huge then&lt;br /&gt;
        return &amp;#039;&amp;lt;strong class=&amp;quot;error&amp;quot;&amp;gt;Error: &amp;#039; .. number .. &amp;#039; out of range&amp;lt;/strong&amp;gt;&amp;#039;&lt;br /&gt;
    end&lt;br /&gt;
&lt;br /&gt;
    local result = &amp;quot;&amp;quot;&lt;br /&gt;
    local currentNumber = number&lt;br /&gt;
    local power = 0&lt;br /&gt;
    local divisor = 2&lt;br /&gt;
    local productSymbol = frame.args[&amp;#039;product&amp;#039;] or &amp;#039;·&amp;#039;&lt;br /&gt;
    -- Attempt factoring by the value of the divisor&lt;br /&gt;
    -- divisor increments by 2, except first iteration (2 to 3)&lt;br /&gt;
    while divisor &amp;lt;= math.sqrt(currentNumber) do&lt;br /&gt;
        power = 0&lt;br /&gt;
        while currentNumber % divisor == 0 do&lt;br /&gt;
            currentNumber = currentNumber / divisor&lt;br /&gt;
            power = power + 1&lt;br /&gt;
        end&lt;br /&gt;
&lt;br /&gt;
		-- Concat result and increment divisor&lt;br /&gt;
		-- when divisor is 2, go to 3. All other times, add 2&lt;br /&gt;
		result = result .. powerformat(divisor, power, productSymbol)&lt;br /&gt;
        divisor = divisor + (divisor == 2 and 1 or 2)&lt;br /&gt;
    end&lt;br /&gt;
&lt;br /&gt;
    if currentNumber ~= 1 then&lt;br /&gt;
        result = result .. currentNumber .. &amp;#039; &amp;#039; .. productSymbol .. &amp;#039; &amp;#039;&lt;br /&gt;
    end&lt;br /&gt;
&lt;br /&gt;
    local primeLink = frame.args[&amp;#039;prime&amp;#039;] and true&lt;br /&gt;
    if currentNumber == number and primeLink then&lt;br /&gt;
        return &amp;#039;[[prime number|prime]]&amp;#039;&lt;br /&gt;
    end&lt;br /&gt;
&lt;br /&gt;
    result = string.sub(result,1,-4)&lt;br /&gt;
&lt;br /&gt;
    local bold = frame.args[&amp;#039;bold&amp;#039;] and true&lt;br /&gt;
    local big = frame.args[&amp;#039;big&amp;#039;] and true&lt;br /&gt;
    local serif = frame.args[&amp;#039;serif&amp;#039;] and true&lt;br /&gt;
    return format(result, bold, big, serif)&lt;br /&gt;
end&lt;br /&gt;
&lt;br /&gt;
return p&lt;/div&gt;</summary>
		<author><name>&gt;Izno</name></author>
	</entry>
</feed>