function printt(t, prefix, maxdepth)
  prefix = prefix or ''
  maxdepth = maxdepth or 2
  for k, v in pairs(t) do
    if prefix ~= '' then
      k = prefix .. "." .. k
    end
    if type(v) == "table" then
      if maxdepth > 1 then
        print(k .. ":")
        printt(v, k, maxdepth - 1)
      else
        print(k .. ": <table>")
      end
    else
      print(k .. ": " .. tostring(v))
    end
  end
end

function round2even(num)
  return 2 * math.floor(num / 2)
end

function wrap(n, high)
  n = n % high
  if n < 0 then
    n = n + high
  end
  return n
end