Module:Factorization/sandbox: Difference between revisions

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This module displays the factorization of a given number. Numbers smaller than 2 or greater than 1,000,000,000 return "Error: <number> out of range". Fractional numbers are rounded down.

Parameters

• The first unnamed parameter is the number
• product - the symbol to be used to indicate times. Defaults to ·
• bold - set to any value to make it bold
• serif - set to any value to make it serif
• big - set to any value to make it big
• prime - set to any value to have prime numbers return an unformatted link to prime instead of the number

The above documentation is transcluded from Module:Factorization/doc. (edit | history)
Editors can experiment in this module's sandbox (edit | diff) and testcases (edit | run) pages.
Add categories to the /doc subpage. Subpages of this module.

local p = {}

function p.factor(frame)
	-- Consider calling the parser function #expr
	--   to simplify a potential mathematical expression?
    number = tonumber(frame.args[1])
    if number == nil then
    	return '<strong class="error">Error: input not recognized as a number</strong>'
    end

    productSymbol = frame.args['product'] or '·'
    bold = frame.args['bold'] and true
    big = frame.args['big'] and true
    serif = frame.args['serif'] and true
    primeLink = frame.args['prime'] and true

    number = math.floor(number)
    if number < 2 or number > 1000000000 or number == math.huge then
        return '<strong class="error">Error: ' .. number .. ' out of range</strong>'
    end

    result = ""
    currentNumber = number
    power = 0
    divisor = 2

    -- Attempt factoring by the value of the divisor
    --   divisor increments by 2, except first iteration (2 to 3)
    while divisor <= math.sqrt(currentNumber) do
        power = 0
        while currentNumber % divisor == 0 do
            currentNumber = currentNumber / divisor
            power = power + 1
        end

		result = result .. powerformat(divisor, power, productSymbol)

        divisor = divisor + (divisor == 2 and 1 or 2)
    end

    if currentNumber ~= 1 then
        result = result..currentNumber..' '..productSymbol..' '
    end

    if currentNumber == number and primeLink then
        return '[['..'prime'..']]'
    end

    result = string.sub(result,1,-4)

    return format(result)
end

function powerformat(divisor, power, productSymbol)
	if power < 1      then return ''
    elseif power == 1 then return divisor .. ' ' .. productSymbol .. ' '
    else return divisor .. '<sup>' .. power .. '</sup>' .. productSymbol .. ' '
    end
end

function format(num)
    if bold then
        num = '<b>'..num..'</b>'
    end

    if serif then
        if big then
            num = '<span class="texhtml" style="font-size:165%">'..num..'</span>'
        else
            num = '<span class="texhtml">'..num..'</span>'
        end
    elseif big then
        num = '<span style="font-size:165%">'..num..'</span>'
    end

    return num
end

return p