Module:Math

local z = {}

-- Generate random number function z.random( frame ) first = tonumber(frame.args[1]) -- if it doesn't exist it's NaN, if not a number it's nil second = tonumber(frame.args[2])

if first then -- if NaN or nil, will skip down to final return if first <= second then -- could match if both nil, but already checked that first is a number in last line return math.random(first, second) end return math.random(first) end return math.random end

-- Determine order of magnitude function z.order(frame) return z._order(tonumber(frame.args[1] or frame.args.x or 0)) end function z._order(x) if x == 0 then return 0 end return math.floor(math.log10(math.abs(x))) end

-- Determines precision of a number using the string representation function z.precision( frame ) return z._precision( frame.args[1] or frame.args.x or '0' ) end function z._precision( x ) x = string.upper( x )

-- Remove leading / trailing whitespace x = x:match "^%s*(.-)%s*$";

local decimal = string.find( x, '.', 1, true ) local exponent_pos = string.find( x, 'E', 1, true ) local result = 0; if exponent_pos ~= nil then local exponent = string.sub( x, exponent_pos + 1 ) x = string.sub( x, 1, exponent_pos - 1 ) result = result - tonumber( exponent ) end if decimal ~= nil then result = result + string.len( x ) - decimal return result end local pos = string.len( x ); while x:byte(pos) == string.byte('0') do       pos = pos - 1 result = result - 1 if pos <= 0 then return 0 end end return result end

-- Finds maximum argument function z.max( frame ) if frame.args[1] == nil then return '' end local max_value = tonumber( frame.args[1] ) local i = 2; while frame.args[i] ~= nil do       local val = tonumber( frame.args[i] ); if val ~= nil then if val > max_value then max_value = val; end end i = i + 1; end return max_value end

-- Finds minimum argument function z.min( frame ) if frame.args[1] == nil then return '' end local min_value = tonumber( frame.args[1] ) local i = 2; while frame.args[i] ~= nil do       local val = tonumber( frame.args[i] ); if val ~= nil then if val < min_value then min_value = val; end end i = i + 1; end return min_value end

-- Rounds a number to the specified precision and formats according to rules -- originally used for function z.round( frame ) -- For access to Mediawiki built-in formatter. local lang = mw.getContentLanguage; local value = tonumber( frame.args[1] or 0 ); local precision = tonumber( frame.args[2] or 0 ); local current_precision = z._precision( value ); -- If rounding off, truncate extra digits if precision < current_precision then local rescale = math.pow( 10, precision ); value = math.floor( value * rescale + 0.5 ) / rescale; end local formatted_num = lang:formatNum( math.abs(value) ); local sign; -- Use proper unary minus sign rather than ASCII default if value < 0 then sign = '−'; else sign = ''; end local order; -- Handle cases requiring scientific notation order = z._order( value ); if string.find( formatted_num, 'E', 1, true ) ~= nil or math.abs(order) >= 9 then value = value * math.pow( 10, -order ); current_precision = current_precision + order; precision = precision + order; formatted_num = lang:formatNum( value ); else order = 0; end formatted_num = sign .. formatted_num; -- Pad with zeros, if needed if current_precision < precision then if current_precision <= 0 then if precision > 0 then local zero_sep = lang:formatNum( 1.1 ); formatted_num = formatted_num .. zero_sep:sub(2,2); formatted_num = formatted_num .. string.rep( '0', precision ); end else formatted_num = formatted_num .. string.rep( '0', precision - current_precision ); end end

-- Add exponential notation, if necessary. if order ~= 0 then -- Use proper unary minus sign rather than ASCII default if order < 0 then order = '−' .. lang:formatNum( math.abs(order) ); else order = lang:formatNum( order ); end formatted_num = formatted_num .. ' × 10' .. order .. ''   end return formatted_num; end

return z