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 specified precision
function z.round(frame)
local value = tonumber(frame.args[1] or frame.args.value or 0);
local precision = tonumber(frame.args[2] or frame.args.precision or 0);
return z._round( value, precision );
end
function z._round( value, precision )
local rescale = math.pow( 10, precision );
return math.floor( value * rescale + 0.5 ) / rescale;
end
-- Rounds a number to the specified precision and formats according to rules
-- originally used for {{template:Rnd}}. Output is a string.
function z.precision_format( 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 );
local order = z._order( value );
-- Due to round-off effects it is neccesary to limit the returned precision under
-- some circumstances because the terminal digits will be inaccurately reported.
if order + precision >= 14 then
precision = 13 - order;
end
-- If rounding off, truncate extra digits
if precision < current_precision then
value = z._round( value, precision );
current_precision = z._precision( value );
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
-- Handle cases requiring scientific notation
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( math.abs(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 .. '<span style="margin:0 .15em 0 .25em">×</span>10<sup>' .. order .. '</sup>'
end
return formatted_num;
end
return z
