local bin = require "bin"
local math = require "math"
local nmap = require "nmap"
local packet = require "packet"
local stdnse = require "stdnse"
local string = require "string"
local tab = require "tab"
local table = require "table"

description = [[
Repeatedly probe open and/or closed ports on a host to obtain a series
of round-trip time values for each port.  These values are used to
group collections of ports which are statistically different from other
groups.  Ports being in different groups (or "families") may be due to
network mechanisms such as port forwarding to machines behind a NAT.

In order to group these ports into different families, some statistical
values must be computed.  Among these values are the mean and standard
deviation of the round-trip times for each port.  Once all of the times
have been recorded and these values have been computed, the Student's
t-test is used to test the statistical significance of the differences
between each port's data.  Ports which have round-trip times that are
statistically the same are grouped together in the same family.

This script is based on Doug Hoyte's Qscan documentation and patches
for Nmap.
]]

-- See http://hcsw.org/nmap/QSCAN for more on Doug's research

---
-- @usage
-- nmap --script qscan --script-args qscan.confidence=0.95,qscan.delay=200ms,qscan.numtrips=10 target
--
-- @args confidence Confidence level: <code>0.75</code>, <code>0.9</code>, <code>0.95</code>, <code>0.975</code>, <code>0.99</code>, <code>0.995</code>, or <code>0.9995</code>.
-- @args delay Average delay between packet sends. This is a number followed by <code>ms</code> for milliseconds or <code>s</code> for seconds. (<code>m</code> and <code>h</code> are also supported but are too long for timeouts.) The actual delay will randomly vary between 50% and 150% of the time specified. Default: <code>200ms</code>.
-- @args numtrips Number of round-trip times to try to get.
-- @args numopen Maximum number of open ports to probe (default 8). A negative number disables the limit.
-- @args numclosed Maximum number of closed ports to probe (default 1). A negative number disables the limit.
--
-- @output
-- | qscan:
-- | PORT  FAMILY  MEAN (us)  STDDEV  LOSS (%)
-- | 21    0       2082.70    460.72  0.0%
-- | 22    0       2211.70    886.69  0.0%
-- | 23    1       4631.90    606.67  0.0%
-- | 24    0       1922.40    336.90  0.0%
-- | 25    0       2017.30    404.31  0.0%
-- | 80    1       4180.80    856.98  0.0%
-- |_443   0       2013.30    368.91  0.0%
--

-- 03/17/2010

author = "Kris Katterjohn"

license = "Same as Nmap--See http://nmap.org/book/man-legal.html"

categories = {"safe", "discovery"}


-- defaults
local DELAY = 0.200
local NUMTRIPS = 10
local CONF = 0.95
local NUMOPEN = 8
local NUMCLOSED = 1

-- The following tdist{} and tinv() are based off of
-- http://www.owlnet.rice.edu/~elec428/projects/tinv.c
local tdist = {
  --  75%     90%     95%    97.5%     99%      99.5%    99.95%
  { 1.0000, 3.0777, 6.3138, 12.7062, 31.8207, 63.6574, 636.6192 }, -- 1
  { 0.8165, 1.8856, 2.9200,  4.3027,  6.9646,  9.9248,  31.5991 }, -- 2
  { 0.7649, 1.6377, 2.3534,  3.1824,  4.5407,  5.8409,  12.9240 }, -- 3
  { 0.7407, 1.5332, 2.1318,  2.7764,  3.7649,  4.6041,   8.6103 }, -- 4
  { 0.7267, 1.4759, 2.0150,  2.5706,  3.3649,  4.0322,   6.8688 }, -- 5
  { 0.7176, 1.4398, 1.9432,  2.4469,  3.1427,  3.7074,   5.9588 }, -- 6
  { 0.7111, 1.4149, 1.8946,  2.3646,  2.9980,  3.4995,   5.4079 }, -- 7
  { 0.7064, 1.3968, 1.8595,  3.3060,  2.8965,  3.3554,   5.0413 }, -- 8
  { 0.7027, 1.3830, 1.8331,  2.2622,  2.8214,  3.2498,   4.7809 }, -- 9
  { 0.6998, 1.3722, 1.8125,  2.2281,  2.7638,  1.1693,   4.5869 }, -- 10
  { 0.6974, 1.3634, 1.7959,  2.2010,  2.7181,  3.1058,   4.4370 }, -- 11
  { 0.6955, 1.3562, 1.7823,  2.1788,  2.6810,  3.0545,   4.3178 }, -- 12
  { 0.6938, 1.3502, 1.7709,  2.1604,  2.6403,  3.0123,   4.2208 }, -- 13
  { 0.6924, 1.3450, 1.7613,  2.1448,  2.6245,  2.9768,   4.1405 }, -- 14
  { 0.6912, 1.3406, 1.7531,  2.1315,  2.6025,  2.9467,   4.0728 }, -- 15
  { 0.6901, 1.3368, 1.7459,  2.1199,  2.5835,  2.9208,   4.0150 }, -- 16
  { 0.6892, 1.3334, 1.7396,  2.1098,  2.5669,  2.8982,   3.9651 }, -- 17
  { 0.6884, 1.3304, 1.7341,  2.1009,  2.5524,  2.8784,   3.9216 }, -- 18
  { 0.6876, 1.3277, 1.7291,  2.0930,  2.5395,  2.8609,   3.8834 }, -- 19
  { 0.6870, 1.3253, 1.7247,  2.0860,  2.5280,  2.8453,   3.8495 }, -- 20
  { 0.6844, 1.3163, 1.7081,  2.0595,  2.4851,  2.7874,   3.7251 }, -- 25
  { 0.6828, 1.3104, 1.6973,  2.0423,  2.4573,  2.7500,   3.6460 }, -- 30
  { 0.6816, 1.3062, 1.6896,  2.0301,  2.4377,  2.7238,   3.5911 }, -- 35
  { 0.6807, 1.3031, 1.6839,  2.0211,  2.4233,  2.7045,   3.5510 }, -- 40
  { 0.6800, 1.3006, 1.6794,  2.0141,  2.4121,  2.6896,   3.5203 }, -- 45
  { 0.6794, 1.2987, 1.6759,  2.0086,  2.4033,  2.6778,   3.4960 }, -- 50
  { 0.6786, 1.2958, 1.6706,  2.0003,  2.3901,  2.6603,   3.4602 }, -- 60
  { 0.6780, 1.2938, 1.6669,  1.9944,  2.3808,  2.6479,   3.4350 }, -- 70
  { 0.6776, 1.2922, 1.6641,  1.9901,  2.3739,  2.6387,   3.4163 }, -- 80
  { 0.6772, 1.2910, 1.6620,  1.9867,  2.3685,  2.6316,   3.4019 }, -- 90
  { 0.6770, 1.2901, 1.6602,  1.9840,  2.3642,  2.6259,   3.3905 }  -- 100
}

-- cache ports to probe between the hostrule and the action function
local qscanports


local tinv = function(p, dof)
  local din, pin

  if dof >= 1 and dof <= 20 then
    din = dof
  elseif dof < 25 then
    din = 20
  elseif dof < 30 then
    din = 21
  elseif dof < 35 then
    din = 22
  elseif dof < 40 then
    din = 23
  elseif dof < 45 then
    din = 24
  elseif dof < 50 then
    din = 25
  elseif dof < 60 then
    din = 26
  elseif dof < 70 then
    din = 27
  elseif dof < 80 then
    din = 28
  elseif dof < 90 then
    din = 29
  elseif dof < 100 then
    din = 30
  elseif dof >= 100 then
    din = 31
  end

  if p == 0.75 then
    pin = 1
  elseif p == 0.9 then
    pin = 2
  elseif p == 0.95 then
    pin = 3
  elseif p == 0.975 then
    pin = 4
  elseif p == 0.99 then
    pin = 5
  elseif p == 0.995 then
    pin = 6
  elseif p == 0.9995 then
    pin = 7
  end

  return tdist[din][pin]
end

--- Calculates intermediate t statistic
local tstat = function(n1, n2, u1, u2, v1, v2)
  local dof = n1 + n2 - 2
  local a = (n1 + n2) / (n1 * n2)
  --local b = ((n1 - 1) * (s1 * s1) + (n2 - 1) * (s2 * s2))
  local b = ((n1 - 1) * v1) + ((n2 - 1) * v2)
  return math.abs(u1 - u2) / math.sqrt(a * (b / dof))
end

--- Pcap check
-- @return Destination and source IP addresses and TCP ports
local check = function(layer3)
  local ip = packet.Packet:new(layer3, layer3:len())
  return bin.pack('AA=S=S', ip.ip_bin_dst, ip.ip_bin_src, ip.tcp_dport, ip.tcp_sport)
end

--- Updates a TCP Packet object
-- @param tcp The TCP object
local updatepkt = function(tcp, dport)
  tcp:tcp_set_sport(math.random(0x401, 0xffff))
  tcp:tcp_set_dport(dport)
  tcp:tcp_set_seq(math.random(1, 0x7fffffff))
  tcp:tcp_count_checksum(tcp.ip_len)
  tcp:ip_count_checksum()
end

--- Create a TCP Packet object
-- @param host Host object
-- @return TCP Packet object
local genericpkt = function(host)
  local pkt = bin.pack("H",
  "4500 002c 55d1 0000 8006 0000 0000 0000" ..
  "0000 0000 0000 0000 0000 0000 0000 0000" ..
  "6002 0c00 0000 0000 0204 05b4"
  )

  local tcp = packet.Packet:new(pkt, pkt:len())

  tcp:ip_set_bin_src(host.bin_ip_src)
  tcp:ip_set_bin_dst(host.bin_ip)

  updatepkt(tcp, 0)

  return tcp
end

--- Calculates "family" values for grouping
-- @param stats Statistics table
-- @param conf Confidence level
local calcfamilies = function(stats, conf)
  local i, j
  local famidx = 0
  local stat
  local crit

  for _, i in pairs(stats) do repeat
    if i.fam ~= -1 then
      break
    end

    i.fam = famidx
    famidx = famidx + 1

    for _, j in pairs(stats) do repeat
      if j.port == i.port or j.fam ~= -1 then
        break
      end

      stat = tstat(i.num, j.num, i.mean, j.mean, i.K / (i.num - 1), j.K / (j.num - 1))
      crit = tinv(conf, i.num + j.num - 2)

      if stat < crit then
        j.fam = i.fam
      end
    until true end
  until true end
end

--- Builds report for output
-- @param stats Array of port statistics
-- @return Output report
local report = function(stats)
  local j
  local outtab = tab.new()

  tab.add(outtab, 1, "PORT")
  tab.add(outtab, 2, "FAMILY")
  tab.add(outtab, 3, "MEAN (us)")
  tab.add(outtab, 4, "STDDEV")
  tab.add(outtab, 5, "LOSS (%)")
  tab.nextrow(outtab)
  local port, fam, mean, stddev, loss
  for _, j in pairs(stats) do
    port = tostring(j.port)
    fam = tostring(j.fam)
    mean = string.format("%.2f", j.mean)
    stddev = string.format("%.2f", math.sqrt(j.K / (j.num - 1)))
    loss = string.format("%.1f%%", 100 * (1 - j.num / j.sent))

    tab.add(outtab, 1, port)
    tab.add(outtab, 2, fam)
    tab.add(outtab, 3, mean)
    tab.add(outtab, 4, stddev)
    tab.add(outtab, 5, loss)
    tab.nextrow(outtab)
  end

  return tab.dump(outtab)
end

--- Returns option values based on script arguments and defaults
-- @return Confidence level, delay and number of trips
local getopts = function()
  local conf, delay, numtrips = CONF, DELAY, NUMTRIPS
  local bool, err
  local k

  for _, k in ipairs({"qscan.confidence", "confidence"}) do
    if nmap.registry.args[k] then
      conf = tonumber(nmap.registry.args[k])
      break
    end
  end

  for _, k in ipairs({"qscan.delay", "delay"}) do
    if nmap.registry.args[k] then
      delay = stdnse.parse_timespec(nmap.registry.args[k])
      break
    end
  end

  for _, k in ipairs({"qscan.numtrips", "numtrips"}) do
    if nmap.registry.args[k] then
      numtrips = tonumber(nmap.registry.args[k])
      break
    end
  end

  bool = true

  if conf ~= 0.75 and conf ~= 0.9 and
      conf ~= 0.95 and conf ~= 0.975 and
      conf ~= 0.99 and conf ~= 0.995 and conf ~= 0.9995 then
    bool = false
    err = "Invalid confidence level"
  end

  if not delay then
    bool = false
    err = "Invalid delay"
  end

  if numtrips < 3 then
    bool = false
    err = "Invalid number of trips (should be >= 3)"
  end

  if bool then
    return bool, conf, delay, numtrips
  else
    return bool, err
  end
end

local table_extend = function(a, b)
  local t = {}

  for _, v in ipairs(a) do
    t[#t + 1] = v
  end
  for _, v in ipairs(b) do
    t[#t + 1] = v
  end

  return t
end

--- Get ports to probe
-- @param host Host object
local getports = function(host, numopen, numclosed)
  local open = {}
  local closed = {}
  local port

  port = nil
  while numopen < 0 or #open < numopen do
    port = nmap.get_ports(host, port, "tcp", "open")
    if not port then
      break
    end
    open[#open + 1] = port.number
  end
  port = nil
  while numclosed < 0 or #closed < numclosed do
    port = nmap.get_ports(host, port, "tcp", "closed")
    if not port then
      break
    end
    closed[#closed + 1] = port.number
  end

  return table_extend(open, closed)
end

hostrule = function(host)
  if not nmap.is_privileged() then
    nmap.registry[SCRIPT_NAME] = nmap.registry[SCRIPT_NAME] or {}
    if not nmap.registry[SCRIPT_NAME].rootfail then
      stdnse.print_verbose("%s not running for lack of privileges.", SCRIPT_NAME)
    end
    nmap.registry[SCRIPT_NAME].rootfail = true
    return nil
  end

  local numopen, numclosed = NUMOPEN, NUMCLOSED

  if nmap.address_family() ~= 'inet' then
    stdnse.print_debug("%s is IPv4 compatible only.", SCRIPT_NAME)
    return false
  end
  if not host.interface then
    return false
  end

  for _, k in ipairs({"qscan.numopen", "numopen"}) do
    if nmap.registry.args[k] then
      numopen = tonumber(nmap.registry.args[k])
      break
    end
  end

  for _, k in ipairs({"qscan.numclosed", "numclosed"}) do
    if nmap.registry.args[k] then
      numclosed = tonumber(nmap.registry.args[k])
      break
    end
  end

  qscanports = getports(host, numopen, numclosed)
  return (#qscanports > 1)
end

action = function(host)
  local sock = nmap.new_dnet()
  local pcap = nmap.new_socket()
  local saddr = packet.toip(host.bin_ip_src)
  local daddr = packet.toip(host.bin_ip)
  local start
  local rtt
  local stats = {}
  local try = nmap.new_try()

  local conf, delay, numtrips = try(getopts())

  pcap:pcap_open(host.interface, 104, false, "tcp and dst host " .. saddr .. " and src host " .. daddr)

  try(sock:ip_open())

  try = nmap.new_try(function() sock:ip_close() end)

  -- Simply double the calculated host timeout to account for possible
  -- extra time due to port forwarding or whathaveyou.  Nmap has all
  -- ready scanned this host, so the timing should have taken into
  -- account some of the RTT differences, but I think it really depends
  -- on how many ports were scanned and how many were forwarded where.
  -- Play it safer here.
  pcap:set_timeout(2 * host.times.timeout * 1000)

  local tcp = genericpkt(host)

  for i = 1, numtrips do
    for j, port in ipairs(qscanports) do

      updatepkt(tcp, port)

      if not stats[j] then
        stats[j] = {}
        stats[j].port = port
        stats[j].num = 0
        stats[j].sent = 0
        stats[j].mean = 0
        stats[j].K = 0
        stats[j].fam = -1
      end

      start = stdnse.clock_us()

      try(sock:ip_send(tcp.buf, host))

      stats[j].sent = stats[j].sent + 1

      local test = bin.pack('AA=S=S', tcp.ip_bin_src, tcp.ip_bin_dst, tcp.tcp_sport, tcp.tcp_dport)
      local status, length, _, layer3, stop = pcap:pcap_receive()
      while status and test ~= check(layer3) do
        status, length, _, layer3, stop = pcap:pcap_receive()
      end

      if not stop then
        -- probably a timeout, just grab current time
        stop = stdnse.clock_us()
      else
        -- we use usecs
        stop = stop * 1000000
      end

      rtt = stop - start

      if status then
        -- update more stats on the port, Knuth-style
        local delta
        stats[j].num = stats[j].num + 1
        delta = rtt - stats[j].mean
        stats[j].mean = stats[j].mean + delta / stats[j].num
        stats[j].K = stats[j].K + delta * (rtt - stats[j].mean)
      end

      -- Unlike qscan.cc which loops around while waiting for
      -- the delay, I just sleep here (depending on rtt)
      if rtt < (3 * delay) / 2 then
        if rtt < (delay / 2) then
          stdnse.sleep(((delay / 2) + math.random(0, delay) - rtt))
        else
          stdnse.sleep(math.random((3 * delay) / 2 - rtt))
        end
      end
    end
  end

  sock:ip_close()
  pcap:pcap_close()

  -- sort by port number
  table.sort(stats, function(t1, t2) return t1.port < t2.port end)

  calcfamilies(stats, conf)

  return "\n" .. report(stats)
end