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require('Module:No globals')
 
local p = {}
 
function p._main(n, d)
	local num = tonumber(n)
	if not num then
		error('Unable to convert "' .. tostring(n) .. '" to a number')
	end
	local decimals = tonumber(d)
	if not decimals then
		error('Unable to convert "' .. tostring(d) .. '" to a number')
	end
	local maxDecimals = 14 - math.floor(math.log10(num)) -- to allow a maximum of 15 significant figures, which is the highest guaranteed correct with doubles
	if decimals > maxDecimals then decimals = maxDecimals end
	local mult = 10^decimals
	num = math.floor(num * mult + 0.5) / mult
	if decimals < 0 then
		return tostring(num)
	else
		return string.format('%.' .. decimals .. 'f', num)
	end
end
 
function p.main(frame)
	local args, pargs = frame.args, frame:getParent().args
	return p._main(mw.ext.ParserFunctions.expr(args[1] or pargs[1]), mw.ext.ParserFunctions.expr(args[2] or pargs[2]))
end
 
return p

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