-- ipv4 / 24 = network
-- ipv6/56 * 5 = 5 /56 further down
local bit32 = require 'bit32'
local format = string.format
local lshift = bit32.lshift
local rshift = bit32.rshift
local band = bit32.band
local replace = bit32.replace
local bxor = bit32.bxor
local mt2fam = {}
local inet = {}
inet.__index = inet
local inet4 = setmetatable({}, inet)
inet4.__index = inet4
mt2fam[inet4] = 4
local inet6 = setmetatable({}, inet)
inet6.__index = inet6
mt2fam[inet6] = 6
local function get_mt(t)
if type(t) ~= 'table' then return nil end
return getmetatable(t)
end
local function is_inet4(t)
local mt = get_mt(t)
return mt == inet4
end
local function is_inet6(t)
local mt = get_mt(t)
return mt == inet6
end
local function is_inet(t)
local mt = get_mt(t)
return mt == inet4 or mt == inet6
end
function inet:__len()
local mask = self.mask
if mask == nil then return 0 end -- make metatable inspectable
return mask
end
inet4.__len = inet.__len
inet6.__len = inet.__len
function inet:family()
local mt = assert(getmetatable(self))
return assert(mt2fam[mt])
end
local ipv4_parser
local ipv6_parser
do
local lpeg = require 'lpeg'
local C, Ct = lpeg.C, lpeg.Ct
local S, R = lpeg.S, lpeg.R
local B, Cc = lpeg.B, lpeg.Cc
local digit = R('09')
local ipv4addr
do
local dot = S('.')
local zero = S('0')
local octet0 = B(zero) * Cc('0')
local octet1 = R('19')
local octet2 = R('19') * digit
local octet31 = S('1') * digit * digit
local octet32 = R('04') * digit
local octet325 = S('5') * R('05')
local octet3 = octet31 + (S('2') * (octet32 + octet325))
local octet = zero^0 * (C(octet3 + octet2 + octet1) + octet0) / tonumber
ipv4addr = octet * dot * octet * dot * octet * dot * octet
local mask12 = R('12') * digit
local mask3 = S('3') * R('02')
local netmask = S('/') * C(mask12 + mask3 + digit)
ipv4_parser = ipv4addr * (netmask + Cc()) * -1
end
do
local function hextonumber(hex) return tonumber(hex, 16) end
local hexdigit = R('09') + R('af') + R('AF')
local piece = C(hexdigit * (hexdigit^-3)) / hextonumber
local col = S(':')
local colcol = C(col * col)
local picol = piece * col
local colpi = col * piece
local ipv4embed = ipv4addr / function(a,b,c,d)
return lshift(a, 8) + b, lshift(c, 8) + d
end
local last32bits = (ipv4embed + (picol * piece))
local full = picol * picol * picol * picol * picol * picol * last32bits
local partial = (piece * (colpi^-6))^-1 * colcol * ((picol^-6)*(ipv4embed+piece))^-1
local netmask = S('/') * C((digit^-3)) / tonumber
local pieces = full + partial
ipv6_parser = Ct(pieces) * ((netmask + Cc())^-1) * -1
end
end
local function build_bip(o1, o2, o3, o4)
return lshift(o1, 24) + lshift(o2, 16) + lshift(o3, 8) + o4
end
local function inet4_from_string(ipstr)
local o1, o2, o3, o4, mask = ipv4_parser:match(ipstr)
if not o1 then return nil, 'parse error' end
local bip = build_bip(o1, o2, o3, o4)
return bip, tonumber(mask)
end
local function inet4_from_number(bip)
return bip
end
local function inet4_from_table(t)
if #t ~= 4 then return nil, 'invalid length' end
for i=1,4 do
local v = t[i]
if type(v) ~= 'number' then return nil, 'invalid number' end
if v < 0 or v > 255 then return nil, 'octet out of range' end
end
return build_bip(t[1], t[2], t[3], t[4])
end
local inet4_constructors = {
string = inet4_from_string,
number = inet4_from_number,
table = inet4_from_table,
}
local function inet6_from_string(ipstr)
local pcs, netmask = ipv6_parser:match(ipstr)
if not pcs then return nil, 'parse error' end
if #pcs > 8 then return nil, 'too many pieces' end
local zero_pieces = 8 - #pcs
for i=1,#pcs do
if pcs[i] == '::' then
pcs[i] = 0
for j=#pcs,i,-1 do
pcs[j+zero_pieces] = pcs[j]
end
for j=1,zero_pieces do
pcs[i+j] = 0
end
end
end
if #pcs > 8 then return nil, 'too many pieces' end
if netmask ~= nil and netmask > 128 then
return nil, 'invalid netmask'
end
return pcs, netmask
end
local function inet6_from_table(t)
if #t ~= 8 then return nil, 'invalid length' end
for i=1,8 do
local v = t[i]
if type(v) ~= 'number' then return nil, 'invalid number' end
if v < 0 or v > 0xffff then return nil, 'octet out of range' end
end
return { t[1], t[2], t[3], t[4], t[5], t[6], t[7], t[8] }
end
local inet6_constructors = {
string = inet6_from_string,
table = inet6_from_table,
}
local function decide_mask(from_ip, override, high)
local newmask = from_ip
if override then
if type(override) == 'number' and override >= 0 and override <= high then
if from_ip ~= nil then
return nil, 'multiple masks supplied'
end
newmask = override
else
return nil, 'invalid mask'
end
else
if not newmask then
newmask = high
end
end
return newmask
end
local function generic_new(constructors, high, ip, mask)
local type_ip = type(ip)
local constructor = constructors[type_ip]
if not constructor then
return nil, 'invalid ip argument'
end
local iir, ourmask = constructor(ip)
if not iir then
return nil, ourmask
end
local outmask, err = decide_mask(ourmask, mask, high)
if not outmask then return nil, err end
return iir, outmask
end
local function new_inet4(ip, mask)
local bip, outmask = generic_new(inet4_constructors, 32, ip, mask)
if not bip then return nil, outmask end
return setmetatable({
bip = bip,
mask = outmask,
}, inet4)
end
local function new_inet6(ip, mask)
local pcs, outmask = generic_new(inet6_constructors, 128, ip, mask)
if not pcs then return nil, outmask end
local r = setmetatable({
pcs = pcs,
mask = outmask,
}, inet6)
-- ensure that the result is balanced
if not r:is_balanced() then
r:balance()
return nil, tostring(r)..' unbalanced'
end
return r
end
local function new_inet(ip, mask)
local is_ipv6
local type_ip = type(ip)
if type_ip == 'string' then
is_ipv6 = string.find(ip, ':', 1, true)
elseif type_ip == 'number' then
is_ipv6 = false
elseif is_inet4(ip) then
mask = mask or #ip
ip = ip.bip
is_ipv6 = false
elseif is_inet6(ip) then
mask = mask or #ip
ip = ip.pcs
is_ipv6 = true
elseif type_ip == 'table' then
local n = #ip
if n == 8 then
is_ipv6 = true
elseif n == 4 then
is_ipv6 = false
else
return nil, 'invalid table'
end
else
return nil, 'invalid ip type'
end
if is_ipv6 then
return new_inet6(ip, mask)
else
return new_inet4(ip, mask)
end
end
local function tostr4(self, withmask)
-- return human readable
local bip, mask = self.bip, self.mask
local o1, o2, o3, o4
o1 = band(rshift(bip, 24), 0xff)
o2 = band(rshift(bip, 16), 0xff)
o3 = band(rshift(bip, 8), 0xff)
o4 = band(bip, 0xff)
if (mask == nil or mask == 32 or withmask == false) and withmask ~= true then
return string.format('%d.%d.%d.%d', o1, o2, o3, o4)
else
return string.format('%d.%d.%d.%d/%d', o1, o2, o3, o4, mask)
end
end
function inet4:__tostring()
return tostr4(self)
end
function inet4:ipstring()
return tostr4(self, false)
end
function inet4:cidrstring()
return tostr4(self, true)
end
function inet4:__add(n)
return new_inet4(self.bip + n, self.mask)
end
function inet4:__sub(n)
return new_inet4(self.bip - n, self.mask)
end
function inet4:__mul(n)
local new = self.bip + (n * math.pow(2, 32 - self.mask))
return new_inet4(new, self.mask)
end
function inet4:__div(n)
return new_inet4(self.bip, n)
end
function inet4:__pow(n)
return new_inet4(self.bip, self.mask + n)
end
function inet4:contains(other)
if self.mask >= other.mask then
return false
end
local mask = self.mask -- make test
local self_netbits = replace(self.bip, 0, 0, 32-mask)
local other_netbits = replace(other.bip, 0, 0, 32-mask)
return self_netbits == other_netbits
end
function inet4:__lt(other)
if self.bip == other.bip then
return self.mask < other.mask
end
return self.bip < other.bip
end
function inet4:__le(other)
if self.mask < other.mask then
return false
end
local mask = other.mask
if mask == 32 then
return self.bip == other.bip
else
local selfnet = replace(self.bip, 0, 0, 32-mask)
local othernet = replace(other.bip, 0, 0, 32-mask)
return selfnet == othernet
end
end
function inet4:__eq(other)
return self.bip == other.bip and self.mask == other.mask
end
function inet4:network()
local hostbits = 32 - self.mask
return new_inet4(lshift(rshift(self.bip, hostbits), hostbits), self.mask)
end
function inet4:netmask()
local hostbits = 32 - self.mask
return new_inet4(replace(0xffffffff, 0, 0, hostbits), 32)
end
function inet4:flip()
-- find twin by flipping the last network bit
local mask = self.mask
if mask == 0 then return nil end
local hostbits = 32 - mask
local flipbit = lshift(1, hostbits)
return new_inet4(bxor(self.bip, flipbit), mask)
end
-- each ipv6 address is stored as eight pieces
-- 1111:2222:3333:4444:5555:6666:7777:8888
-- in the table pcs.
function inet6:is_balanced()
local pcs = self.pcs
for i=1,8 do
local piece = pcs[i]
if piece < 0 or piece > 0xffff then
return false
end
end
return true
end
function inet6:balance(quick)
local pcs = self.pcs
local i = 8
while i > 1 do
if quick and pcs[i] > 0 then
break
end
while pcs[i] < 0 do
pcs[i] = pcs[i] + 0x10000
pcs[i-1] = pcs[i-1] - 1
end
i = i - 1
end
i = 8
while i > 1 do
local extra = rshift(pcs[i], 16)
if quick and extra == 0 then
break
end
pcs[i] = band(pcs[i], 0xffff)
pcs[i-1] = pcs[i-1] + extra
i = i - 1
end
pcs[1] = band(pcs[1], 0xffff)
return self
end
local function tohex(n)
if n == nil then return nil end
return format('%x', n)
end
local function tostr6(self, withmask, embeddedipv4)
-- return human readable
local pcs = self.pcs
local zeros = {}
if embeddedipv4 == nil then
embeddedipv4 = false -- TODO check if well-known prefix
end
local ipv6pieces = 8
if embeddedipv4 then
ipv6pieces = 6
end
-- count zero clusters
local first_zero = 0
local prev_was_zero = false
for i=1,ipv6pieces do
if pcs[i] == 0 then
if prev_was_zero then
zeros[first_zero] = zeros[first_zero] + 1
else
first_zero = i
zeros[first_zero] = 1
end
prev_was_zero = true
else
prev_was_zero = false
end
end
-- find the first largest zero cluster
local zeros_begin = nil
local zeros_cnt = 1
for begin=1,ipv6pieces do
local cnt = zeros[begin] or 0
if cnt > zeros_cnt then
zeros_begin = begin
zeros_cnt = cnt
end
end
-- format ipv6 address
local out = ''
local i = 1
while i <= ipv6pieces do
if i == zeros_begin then
if i > 1 then
out = out .. ':'
else
out = out .. '::'
end
i = i + zeros_cnt
else
local p = pcs[i]
local hexdigits = tohex(p)
out = out .. hexdigits
if i ~= 8 then
out = out .. ':'
end
i = i + 1
end
end
if embeddedipv4 then
out = out .. new_inet4(lshift(pcs[7], 16) + pcs[8]):ipstring()
end
local mask = self.mask
if (mask == nil or mask == 128 or withmask == false) and withmask ~= true then
return out
else
return string.format('%s/%d', out, mask)
end
end
function inet6:__tostring()
return tostr6(self)
end
function inet6:ipstring()
return tostr6(self, false)
end
function inet6:ipstring4()
return tostr6(self, false, true)
end
function inet6:ipstring6()
return tostr6(self, false, false)
end
function inet6:cidrstring()
return tostr6(self, true)
end
function inet6:clone()
return new_inet6(self.pcs, self.mask)
end
function inet6:contains(other)
-- self contains other
local mask = self.mask
if mask > other.mask then
return false
end
local snet = self:network()
local onet = (other / mask):network()
return snet == onet
end
function inet6:__lt(other)
-- self < other
local spcs = self.pcs
local opcs = other.pcs
for i=1,8 do
if spcs[i] < opcs[i] then
return true
end
if spcs[i] > opcs[i] then
return false
end
end
return self.mask < other.mask
end
function inet6:__le(other)
-- self <= other
local spcs = self.pcs
local opcs = other.pcs
for i=1,8 do
if spcs[i] < opcs[i] then
return true
end
if spcs[i] > opcs[i] then
return false
end
end
return self.mask <= other.mask
end
function inet6:__eq(other)
if self.mask ~= other.mask then
return false
end
local spcs = self.pcs
local opcs = other.pcs
for i=1,8 do
if spcs[i] ~= opcs[i] then
return false
end
end
return true
end
function inet6:__div(n)
return new_inet6(self.pcs, n)
end
function inet6:__pow(n)
return new_inet6(self.pcs, self.mask + n)
end
function inet6:__add(n)
local new = self:clone()
local pcs = new.pcs
pcs[8] = pcs[8] + n
new:balance(true)
return new
end
function inet6:__sub(n)
return self + (n*-1)
end
function inet6:network()
local netbits = self.mask
local pcs = self.pcs
local newpcs = { 0, 0, 0, 0, 0, 0, 0, 0 }
for i=1,8 do
if netbits >= i*16 then
newpcs[i] = pcs[i]
elseif netbits <= (i-1)*16 then
break -- the rest is already zero
else
local netbitsleft = 16-(netbits-((i-1)*16))
newpcs[i] = lshift(rshift(pcs[i], netbitsleft), netbitsleft)
end
end
return new_inet6(newpcs, netbits)
end
function inet6:flip()
-- find twin by flipping the last network bit
local mask = self.mask
if mask == 0 then return nil end
local block = rshift(mask, 4)+1
local maskbits = band(mask, 0xf)
local bitno = 16 - maskbits
if bitno == 16 then
block = block - 1
bitno = 0
end
local flipbit = lshift(1, bitno)
local r = self:clone()
local val = r.pcs[block]
r.pcs[block] = bxor(val, flipbit)
--print(mask, block, maskbits, bitno, flipbit, self, r:balance())
return r
end
function inet6:__mul(n)
local new = self:clone()
local mask = new.mask
local pcs = new.pcs
local netbitoverflow = mask % 16
local netbitremainder = (128-mask) % 16
local p = (mask - netbitoverflow) / 16
if netbitremainder ~= 0 then
p = p + 1
end
local was_negative = false
if n < 0 then
n = n * -1
was_negative = true
end
local shiftet = lshift(n, netbitremainder)
local high_shift = rshift(shiftet, 16)
local low_shift = band(shiftet, 0xffff)
--print(p, netbitoverflow, hex(shiftet), hex(high_shift), hex(low_shift))
if was_negative then
high_shift = -high_shift
low_shift = -low_shift
end
if p > 2 then
pcs[p-1] = pcs[p-1] + high_shift
end
pcs[p] = pcs[p] + low_shift
new:balance()
return new
end
local M = {}
local mt = {}
function mt.__call(_, ...)
return new_inet(...)
end
M.is4 = is_inet4
M.is6 = is_inet6
M.is = is_inet
return setmetatable(M, mt)