Module:Factorization

Documentation for this module may be created at Module:Factorization/doc

local p = {}
 
function p.factor(frame)
    number = tonumber(frame.args[1])
    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 > 1000000 then
        return '<strong class="error">number out of range</strong>'
    end
 
    result = ""
    currentNumber = number
    power = 0
 
    --First take care of 2, the only even prime number.
    if currentNumber % 2 == 0 then
        result = '2'
        currentNumber = currentNumber / 2
        power = 1
    end
 
    while currentNumber % 2 == 0 do
        currentNumber = currentNumber / 2
        power = power + 1
    end
 
    if power > 1 then
        result = result..'<sup>'..power..'</sup>'..productSymbol..' '
    elseif power == 1 then
        result = result..' '..productSymbol..' '
    end
 
    --Now do all odd numbers.
    prime = 3
 
    while prime <= math.sqrt(currentNumber) do
 
        power = 0
 
        if currentNumber % prime == 0 then
            result = result..prime
            currentNumber = currentNumber / prime
            power = 1
        end
 
        while currentNumber % prime == 0 do
            currentNumber = currentNumber / prime
            power = power + 1
        end
 
        if power > 1 then
            result = result..'<sup>'..power..'</sup>'..productSymbol..' '
        elseif power == 1 then
            result = result..' '..productSymbol..' '
        end
 
        prime = prime + 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 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