Module:BaseConvert

Converts numbers to a specified base between 2 and 36, for use in templates such as {{binary}}, {{octal}}, {{hexadecimal}}, etc.

Example usage:

local BaseConvert = require('Module:BaseConvert')
BaseConvert.convert({n = 14600926, base = 16}) -- returns 'DECADE'

Arguments:

• n - (required) the number to be converted, as a string. It may be a number instead, if the input base is 10.
• base - (required) the base to which the number should be converted. May be between 2 and 36, inclusive.
• from - the base of the input. Defaults to 10 (or 16 if the input has a leading '0x'). Note that bases other than 10 are not supported if the input has a fractional part.
• precision - number of digits to be rendered after the radix point. Trailing zeros will be added if needed. If not specified, however many digits are needed will be shown, up to 10.
• width - minimum number of digits to be rendered before the radix point. Leading zeros will be added if needed.
• default - Value to return if n is empty or non-numeric. Defaults to the value of n.
• prefix / suffix - wikitext to add before/after the returned result. Will not be added if n is empty or non-numeric. For example, you might use a prefix of 0x when converting to hex, or a suffix of <sub>8</sub> when converting to octal.

---

--
-- Converts numbers to a specified base between 2 and 36, for use in
-- templates such as {{binary}}, {{octal}}, {{hexadecimal}}, etc.
--
-- from - the base of the input. Defaults to 10 (or 16 if the input has a
--   leading '0x'). Note that bases other than 10 are not supported if the
--   input has a fractional part.
-- precision -  number of digits to be rendered after the radix point. Trailing
--   zeros will be added if needed. If not specified, however many digits are
--   needed will be shown, up to 10.
-- width - minimum number of digits to be rendered before the radix point.
--   Leading zeros will be added if needed.
--

local p = {}

local digits = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'

function p._convert(n, base, from, precision, width)
    n = '' .. n   -- convert to a string
    
    -- strip off any leading '0x' (unless x is a valid digit in the input base)
    from = tonumber(from)
    if not from or from < 34 then
        local c
        n, c = n:gsub('^(-?)0[Xx]', '%1')
        if c > 0 and not from then from = 16 end
    end

    -- check for a negative sign. Do this while the input is still in string form,
    -- because tonumber doesn't support negative numbers in non-10 bases.
    local sign = ''
    local c
    n, c = n:gsub('^-', '')
    if c > 0 then sign = '-' end
    
    from = from or 10
    local num = tonumber(n, from)
    base = tonumber(base)
    precision = tonumber(precision)
    width = tonumber(width)
    
    if not num or not base then return n end
    
    local i, f = math.modf(num)

    local t = {}
    repeat
        local d = (i % base) + 1
        i = math.floor(i / base)
        table.insert(t, 1, digits:sub(d, d))
    until i == 0
    while #t < (width or 0) do
        table.insert(t, 1, '0') 
    end
    local intPart = table.concat(t, '')
    
    -- compute the fractional part
    local tf = {}
    while f > 0 and #tf < (precision or 10) do
        f = f * base
        i, f = math.modf(f)
        table.insert(tf, digits:sub(i + 1, i + 1))
    end
    
    -- add trailing zeros if needed
    if precision and #tf < precision then
        for i = 1, precision - #tf do
            table.insert(tf, '0') 
        end
    end

    fracPart = table.concat(tf, '')
    
    -- remove trailing zeros if not needed
    if not precision then
        fracPart = fracPart:gsub('0*$', '')
    end
    
    -- add the radix point if needed
    if #fracPart > 0 then
        fracPart = '.' .. fracPart
    end
    
    return sign .. intPart .. fracPart
end

function p.convert(frame)
    local n = frame.args.n
    local base = frame.args.base
    local from = frame.args.from
    local precision = frame.args.precision
    local width = frame.args.width
    return p._convert(n, base, from, precision, width)
end

return p