src/Cidr.hs

   1 module Cidr
   2 ( Cidr(..),
   3   cidr_from_string,
   4   cidr_tests,
   5   combine_all,
   6   contains,
   7   contains_proper,
   8   max_octet1,
   9   max_octet2,
  10   max_octet3,
  11   max_octet4,
  12   min_octet1,
  13   min_octet2,
  14   min_octet3,
  15   min_octet4,
  16   prop_all_cidrs_contain_themselves,
  17   prop_contains_proper_intransitive
  18 ) where
  19
  20 import Data.List (nubBy)
  21 import Test.HUnit
  22 import Test.QuickCheck
  23
  24 import qualified Bit as B
  25 import IPv4Address
  26 import ListUtils
  27 import Maskable
  28 import Maskbits
  29 import Octet
  30
  31
  32 data Cidr = None | Cidr { ipv4address :: IPv4Address,
  33                           maskbits :: Maskbits }
  34             deriving (Eq)
  35
  36
  37 instance Show Cidr where
  38     show Cidr.None = "None"
  39     show cidr = (show (ipv4address cidr)) ++ "/" ++ (show (maskbits cidr))
  40
  41
  42 instance Arbitrary Cidr where
  43     arbitrary = do
  44       ipv4 <- arbitrary :: Gen IPv4Address
  45       mask <- arbitrary :: Gen Maskbits
  46       return (Cidr ipv4 mask)
  47
  48     coarbitrary _ = variant 0
  49
  50
  51 -- Two CIDR ranges are equivalent if they have the same network bits
  52 -- and the masks are the same.
  53 equivalent :: Cidr -> Cidr -> Bool
  54 equivalent Cidr.None Cidr.None = True
  55 equivalent Cidr.None _ = False
  56 equivalent _ Cidr.None = False
  57 equivalent (Cidr addr1 mbits1) (Cidr addr2 mbits2) =
  58     (mbits1 == mbits2) && ((apply_mask addr1 mbits1) == (apply_mask addr2 mbits2))
  59
  60 -- Returns the mask portion of a CIDR address. That is, everything
  61 -- after the trailing slash.
  62 maskbits_from_cidr_string :: String -> Maskbits
  63 maskbits_from_cidr_string s =
  64     maskbits_from_string ((splitWith (`elem` "/") s) !! 1)
  65
  66
  67 -- Takes an IP address String in CIDR notation, and returns a list of
  68 -- its octets (as Ints).
  69 octets_from_cidr_string :: String -> [Octet]
  70 octets_from_cidr_string s =
  71     map octet_from_string (take 4 (splitWith (`elem` "./") s))
  72
  73
  74 cidr_from_string :: String -> Cidr
  75 cidr_from_string s
  76     | addr  == IPv4Address.None = Cidr.None
  77     | mbits == Maskbits.None    = Cidr.None
  78     | otherwise = Cidr addr mbits
  79                where
  80                  addr = ipv4address_from_octets (oct1) (oct2) (oct3) (oct4)
  81                  oct1 = (octs !! 0)
  82                  oct2 = (octs !! 1)
  83                  oct3 = (octs !! 2)
  84                  oct4 = (octs !! 3)
  85                  octs  = octets_from_cidr_string s
  86                  mbits = maskbits_from_cidr_string s
  87
  88
  89
  90 min_host :: Cidr -> IPv4Address
  91 min_host Cidr.None                 = IPv4Address.None
  92 min_host (Cidr IPv4Address.None _) = IPv4Address.None
  93 min_host (Cidr _ Maskbits.None)    = IPv4Address.None
  94 min_host (Cidr addr mask)
  95     | mask == ThirtyTwo = addr
  96     | mask == ThirtyOne = addr { octet4 = apply_mask oct4 Seven }
  97     | mask == Thirty = addr { octet4 = apply_mask oct4 Six }
  98     | mask == TwentyNine = addr { octet4 = apply_mask oct4 Five }
  99     | mask == TwentyEight = addr { octet4 = apply_mask oct4 Four }
 100     | mask == TwentySeven = addr { octet4 = apply_mask oct4 Three }
 101     | mask == TwentySix = addr { octet4 = apply_mask oct4 Two }
 102     | mask == TwentyFive = addr { octet4 = apply_mask oct4 One }
 103     | mask == TwentyFour = addr { octet4 = min_octet }
 104     | mask == TwentyThree = addr { octet3 = apply_mask oct3 Seven,
 105                                    octet4 = min_octet }
 106     | mask == TwentyTwo = addr { octet3 = apply_mask oct3 Six,
 107                                  octet4 = min_octet }
 108     | mask == TwentyOne = addr { octet3 = apply_mask oct3 Five,
 109                                  octet4 = min_octet }
 110     | mask == Twenty = addr { octet3 = apply_mask oct3 Four,
 111                               octet4 = min_octet }
 112     | mask == Nineteen = addr { octet3 = apply_mask oct3 Three,
 113                                 octet4 = min_octet }
 114     | mask == Eighteen = addr { octet3 = apply_mask oct3 Two,
 115                                 octet4 = min_octet }
 116     | mask == Seventeen = addr { octet3 = apply_mask oct3 One,
 117                                  octet4 = min_octet }
 118     | mask == Sixteen = addr { octet3 = min_octet,
 119                                octet4 = min_octet }
 120     | mask == Fifteen = addr { octet2 = apply_mask oct2 Seven,
 121                                octet3 = min_octet,
 122                                octet4 = min_octet }
 123     | mask == Fourteen = addr { octet2 = apply_mask oct2 Six,
 124                                 octet3 = min_octet,
 125                                 octet4 = min_octet }
 126     | mask == Thirteen = addr { octet2 = apply_mask oct2 Five,
 127                                 octet3 = min_octet,
 128                                 octet4 = min_octet }
 129     | mask == Twelve = addr { octet2 = apply_mask oct2 Four,
 130                               octet3 = min_octet,
 131                               octet4 = min_octet }
 132     | mask == Eleven = addr { octet2 = apply_mask oct2 Three,
 133                               octet3 = min_octet,
 134                               octet4 = min_octet }
 135     | mask == Ten = addr { octet2 = apply_mask oct2 Two,
 136                            octet3 = min_octet,
 137                            octet4 = min_octet }
 138     | mask == Nine = addr { octet2 = apply_mask oct2 One,
 139                             octet3 = min_octet,
 140                             octet4 = min_octet }
 141     | mask == Eight = min_address { octet1 = oct1 }
 142     | mask == Seven = min_address { octet1 = apply_mask oct1 Seven }
 143     | mask == Six = min_address { octet1 = apply_mask oct1 Six }
 144     | mask == Five = min_address { octet1 = apply_mask oct1 Five }
 145     | mask == Four = min_address { octet1 = apply_mask oct1 Four }
 146     | mask == Three = min_address { octet1 = apply_mask oct1 Three }
 147     | mask == Two = min_address { octet1 = apply_mask oct1 Two }
 148     | mask == One = min_address { octet1 = apply_mask oct1 One }
 149     | mask == Zero = min_address
 150     | otherwise = addr
 151     where
 152       oct1 = (octet1 addr)
 153       oct2 = (octet2 addr)
 154       oct3 = (octet3 addr)
 155       oct4 = (octet4 addr)
 156
 157
 158
 159 max_host :: Cidr -> IPv4Address
 160 max_host Cidr.None                 = IPv4Address.None
 161 max_host (Cidr IPv4Address.None _) = IPv4Address.None
 162 max_host (Cidr _ Maskbits.None)    = IPv4Address.None
 163 max_host (Cidr addr mask)
 164     | mask == ThirtyTwo = addr
 165     | mask == ThirtyOne = addr { octet4 = oct4 { b8 = B.One } }
 166     | mask == Thirty = addr { octet4 = oct4 { b7 = B.One, b8 = B.One } }
 167     | mask == TwentyNine = addr { octet4 = oct4 { b6 = B.One,
 168                                                   b7 = B.One,
 169                                                   b8 = B.One } }
 170     | mask == TwentyEight = addr { octet4 = oct4 { b5 = B.One,
 171                                                    b6 = B.One,
 172                                                    b7 = B.One,
 173                                                    b8 = B.One } }
 174     | mask == TwentySeven = addr { octet4 = oct4 { b4 = B.One,
 175                                                    b5 = B.One,
 176                                                    b6 = B.One,
 177                                                    b7 = B.One,
 178                                                    b8 = B.One } }
 179     | mask == TwentySix = addr { octet4 = oct4 { b3 = B.One,
 180                                                  b4 = B.One,
 181                                                  b5 = B.One,
 182                                                  b6 = B.One,
 183                                                  b7 = B.One,
 184                                                  b8 = B.One } }
 185     | mask == TwentyFive = addr { octet4 = oct4 { b2 = B.One,
 186                                                   b3 = B.One,
 187                                                   b4 = B.One,
 188                                                   b5 = B.One,
 189                                                   b6 = B.One,
 190                                                   b7 = B.One,
 191                                                   b8 = B.One } }
 192     | mask == TwentyFour = addr { octet4 = max_octet }
 193     | mask == TwentyThree = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 a20 a21 a22 a23 B.One) (max_octet)
 194     | mask == TwentyTwo = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 a20 a21 a22 B.One B.One) (max_octet)
 195     | mask == TwentyOne = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 a20 a21 B.One B.One B.One) (max_octet)
 196     | mask == Twenty = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 a20 B.One B.One B.One B.One) (max_octet)
 197     | mask == Nineteen = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 B.One B.One B.One B.One B.One) (max_octet)
 198     | mask == Eighteen = ipv4address_from_octets oct1 oct2 (Octet a17 a18 B.One B.One B.One B.One B.One B.One) (max_octet)
 199     | mask == Seventeen = ipv4address_from_octets oct1 oct2 (Octet a17 B.One B.One B.One B.One B.One B.One B.One) (max_octet)
 200     | mask == Sixteen = ipv4address_from_octets oct1 oct2 (max_octet) (max_octet)
 201     | mask == Fifteen = ipv4address_from_octets oct1 (Octet a9 a10 a11 a12 a13 a14 a15 B.One) (max_octet) (max_octet)
 202     | mask == Fourteen = ipv4address_from_octets oct1 (Octet a9 a10 a11 a12 a13 a14 B.One B.One) (max_octet) (max_octet)
 203     | mask == Thirteen = ipv4address_from_octets oct1 (Octet a9 a10 a11 a12 a13 B.One B.One B.One) (max_octet) (max_octet)
 204     | mask == Twelve = ipv4address_from_octets oct1 (Octet a9 a10 a11 a12 B.One B.One B.One B.One) (max_octet) (max_octet)
 205     | mask == Eleven = ipv4address_from_octets oct1 (Octet a9 a10 a11 B.One B.One B.One B.One B.One) (max_octet) (max_octet)
 206     | mask == Ten = ipv4address_from_octets oct1 (Octet a9 a10 B.One B.One B.One B.One B.One B.One) (max_octet) (max_octet)
 207     | mask == Nine = ipv4address_from_octets oct1 (Octet a9 B.One B.One B.One B.One B.One B.One B.One) (max_octet) (max_octet)
 208     | mask == Eight = ipv4address_from_octets oct1 (max_octet) (max_octet) (max_octet)
 209     | mask == Seven = ipv4address_from_octets (Octet a1 a2 a3 a4 a5 a6 a7 B.One) (max_octet) (max_octet) (max_octet)
 210     | mask == Six = ipv4address_from_octets (Octet a1 a2 a3 a4 a5 a6 B.One B.One) (max_octet) (max_octet) (max_octet)
 211     | mask == Five = ipv4address_from_octets (Octet a1 a2 a3 a4 a5 B.One B.One B.One) (max_octet) (max_octet) (max_octet)
 212     | mask == Four = ipv4address_from_octets (Octet a1 a2 a3 a4 B.One B.One B.One B.One) (max_octet) (max_octet) (max_octet)
 213     | mask == Three = ipv4address_from_octets (Octet a1 a2 a3 B.One B.One B.One B.One B.One) (max_octet) (max_octet) (max_octet)
 214     | mask == Two = ipv4address_from_octets (Octet a1 a2 B.One B.One B.One B.One B.One B.One) (max_octet) (max_octet) (max_octet)
 215     | mask == One = ipv4address_from_octets (Octet a1 B.One B.One B.One B.One B.One B.One B.One) (max_octet) (max_octet) (max_octet)
 216     | mask == Zero = ipv4address_from_octets (max_octet) (max_octet) (max_octet) (max_octet)
 217     | otherwise = addr
 218     where
 219       a1  = (b1 oct1)
 220       a2  = (b2 oct1)
 221       a3  = (b3 oct1)
 222       a4  = (b4 oct1)
 223       a5  = (b5 oct1)
 224       a6  = (b6 oct1)
 225       a7  = (b7 oct1)
 226       a9  = (b1 oct2)
 227       a10 = (b2 oct2)
 228       a11 = (b3 oct2)
 229       a12 = (b4 oct2)
 230       a13 = (b5 oct2)
 231       a14 = (b6 oct2)
 232       a15 = (b7 oct2)
 233       a17 = (b1 oct3)
 234       a18 = (b2 oct3)
 235       a19 = (b3 oct3)
 236       a20 = (b4 oct3)
 237       a21 = (b5 oct3)
 238       a22 = (b6 oct3)
 239       a23 = (b7 oct3)
 240       oct1 = (octet1 addr)
 241       oct2 = (octet2 addr)
 242       oct3 = (octet3 addr)
 243       oct4 = (octet4 addr)
 244
 245
 246
 247 min_octet1 :: Cidr -> Octet
 248 min_octet1 cidr = octet1 (min_host cidr)
 249
 250 min_octet2 :: Cidr -> Octet
 251 min_octet2 cidr = octet2 (min_host cidr)
 252
 253 min_octet3 :: Cidr -> Octet
 254 min_octet3 cidr = octet3 (min_host cidr)
 255
 256 min_octet4 :: Cidr -> Octet
 257 min_octet4 cidr = octet4 (min_host cidr)
 258
 259 max_octet1 :: Cidr -> Octet
 260 max_octet1 cidr = octet1 (max_host cidr)
 261
 262 max_octet2 :: Cidr -> Octet
 263 max_octet2 cidr = octet2 (max_host cidr)
 264
 265 max_octet3 :: Cidr -> Octet
 266 max_octet3 cidr = octet3 (max_host cidr)
 267
 268 max_octet4 :: Cidr -> Octet
 269 max_octet4 cidr = octet4 (max_host cidr)
 270
 271
 272
 273 -- Return true if the first argument (a CIDR range) contains the
 274 -- second (another CIDR range). There are a lot of ways we can be fed
 275 -- junk here. For lack of a better alternative, just return False when
 276 -- we are given nonsense.
 277 contains :: Cidr -> Cidr -> Bool
 278 contains Cidr.None _ = False
 279 contains _ Cidr.None = False
 280 contains (Cidr _ Maskbits.None) _    = False
 281 contains (Cidr IPv4Address.None _) _ = False
 282 contains _ (Cidr _ Maskbits.None)    = False
 283 contains _ (Cidr IPv4Address.None _) = False
 284
 285 -- If the number of bits in the network part of the first address is
 286 -- larger than the number of bits in the second, there is no way that
 287 -- the first range can contain the second. For, if the number of
 288 -- network bits is larger, then the number of host bits must be
 289 -- smaller, and if cidr1 has fewer hosts than cidr2, cidr1 most
 290 -- certainly does not contain cidr2.
 291 --
 292 -- On the other hand, if the first argument (cidr1) has fewer (or the
 293 -- same number of) network bits as the second, it can contain the
 294 -- second. In this case, we need to check that every host in cidr2 is
 295 -- contained in cidr1. If a host in cidr2 is contained in cidr1, then
 296 -- at least mbits1 of an address in cidr2 will match cidr1. For
 297 -- example,
 298 --
 299 -- cidr1 = 192.168.1.0/23, cidr2 = 192.168.1.100/24
 300 --
 301 -- Here, cidr2 contains all of 192.168.1.0 through
 302 -- 192.168.1.255. However, cidr1 contains BOTH 192.168.0.0 through
 303 -- 192.168.0.255 and 192.168.1.0 through 192.168.1.255. In essence,
 304 -- what we want to check is that cidr2 "begins with" something that
 305 -- cidr1 CAN begin with. Since cidr1 can begin with 192.168.1, and
 306 -- cidr2 DOES, cidr1 contains cidr2..
 307 --
 308 -- The way that we check this is to apply cidr1's mask to cidr2's
 309 -- address and see if the result is the same as cidr1's mask applied
 310 -- to cidr1's address.
 311 --
 312 contains (Cidr addr1 mbits1) (Cidr addr2 mbits2)
 313     | mbits1 > mbits2 = False
 314     | otherwise = addr1masked == addr2masked
 315     where
 316       addr1masked = apply_mask addr1 mbits1
 317       addr2masked = apply_mask addr2 mbits1
 318
 319
 320 contains_proper :: Cidr -> Cidr -> Bool
 321 contains_proper cidr1 cidr2 =
 322     (cidr1 `contains` cidr2) && (not (cidr2 `contains` cidr1))
 323
 324
 325 -- A CIDR range is redundant (with respect to the given list) if
 326 -- another CIDR range in that list properly contains it.
 327 redundant :: [Cidr] -> Cidr -> Bool
 328 redundant cidrlist cidr = any ((flip contains_proper) cidr) cidrlist
 329
 330
 331 -- First, we look at all possible pairs of cidrs, and combine the
 332 -- adjacent ones in to a new list. Then, we concatenate that list with
 333 -- the original one, and filter out all of the redundancies. If two
 334 -- adjacent Cidrs are combined into a larger one, they will be removed
 335 -- in the second step since the larger Cidr must contain the smaller
 336 -- two.
 337 combine_all :: [Cidr] -> [Cidr]
 338 combine_all cidrs =
 339     combine_contained unique_cidrs
 340     where
 341       unique_cidrs = nubBy equivalent valid_cidr_combinations
 342       valid_cidr_combinations = filter (/= Cidr.None) cidr_combinations
 343       cidr_combinations =
 344           cidrs ++ [ (combine_adjacent x y) | x <- cidrs, y <- cidrs ]
 345
 346
 347 -- Take a list of CIDR ranges and filter out all of the ones that are
 348 -- contained entirelt within some other range in the list.
 349 combine_contained :: [Cidr] -> [Cidr]
 350 combine_contained cidrs =
 351     filter (not . (redundant cidrs)) cidrs
 352
 353
 354 -- If the two Cidrs are not adjacent, return Cidr.None. Otherwise,
 355 -- decrement the maskbits of cidr1 and return that; it will contain
 356 -- both cidr1 and cidr2.
 357 combine_adjacent :: Cidr -> Cidr -> Cidr
 358 combine_adjacent cidr1 cidr2
 359   | not (adjacent cidr1 cidr2) = Cidr.None
 360   | (maskbits cidr1 == Zero) = Cidr.None
 361   | otherwise = cidr1 { maskbits = decrement (maskbits cidr1) }
 362
 363
 364
 365 -- Determine whether or not two CIDR ranges are adjacent. If two
 366 -- ranges lie consecutively within the IP space, they can be
 367 -- combined. For example, 10.1.0.0/24 and 10.0.1.0/24 are adjacent,
 368 -- and can be combined in to 10.1.0.0/23.
 369 adjacent :: Cidr -> Cidr -> Bool
 370 adjacent Cidr.None _ = False
 371 adjacent _ Cidr.None = False
 372 adjacent cidr1 cidr2
 373   | mbits1 /= mbits2 = False
 374   | mbits1 == Maskbits.Zero = False -- They're equal.
 375   | otherwise = (mbits1 == (most_sig_bit_different addr1 addr2))
 376   where
 377     addr1 = ipv4address cidr1
 378     addr2 = ipv4address cidr2
 379     mbits1 = maskbits cidr1
 380     mbits2 = maskbits cidr2
 381
 382
 383
 384
 385
 386 -- HUnit Tests
 387
 388 test_equality1 :: Test
 389 test_equality1 =
 390     TestCase $ assertEqual "10.1.1.0/23 equals itself" True (cidr1 == cidr1)
 391     where
 392       cidr1 = cidr_from_string "10.1.1.0/23"
 393
 394
 395 test_contains1 :: Test
 396 test_contains1 =
 397     TestCase $ assertEqual "10.1.1.0/23 contains 10.1.1.0/24" True (cidr1 `contains` cidr2)
 398     where
 399       cidr1 = cidr_from_string "10.1.1.0/23"
 400       cidr2 = cidr_from_string "10.1.1.0/24"
 401
 402
 403 test_contains2 :: Test
 404 test_contains2 =
 405     TestCase $ assertEqual "10.1.1.0/23 contains itself" True (cidr1 `contains` cidr1)
 406     where
 407       cidr1 = cidr_from_string "10.1.1.0/23"
 408
 409
 410 test_contains_proper1 :: Test
 411 test_contains_proper1 =
 412     TestCase $ assertEqual "10.1.1.0/23 contains 10.1.1.0/24 properly" True (cidr1 `contains_proper` cidr2)
 413     where
 414       cidr1 = cidr_from_string "10.1.1.0/23"
 415       cidr2 = cidr_from_string "10.1.1.0/24"
 416
 417
 418 test_contains_proper2 :: Test
 419 test_contains_proper2 =
 420     TestCase $ assertEqual "10.1.1.0/23 does not contain itself properly" False (cidr1 `contains_proper` cidr1)
 421     where
 422       cidr1 = cidr_from_string "10.1.1.0/23"
 423
 424
 425 test_adjacent1 :: Test
 426 test_adjacent1 =
 427     TestCase $ assertEqual "10.1.0.0/24 is adjacent to 10.1.1.0/24" True (cidr1 `adjacent` cidr2)
 428     where
 429       cidr1 = cidr_from_string "10.1.0.0/24"
 430       cidr2 = cidr_from_string "10.1.1.0/24"
 431
 432
 433 test_adjacent2 :: Test
 434 test_adjacent2 =
 435     TestCase $ assertEqual "10.1.0.0/23 is not adjacent to 10.1.0.0/24" False (cidr1 `adjacent` cidr2)
 436     where
 437       cidr1 = cidr_from_string "10.1.0.0/23"
 438       cidr2 = cidr_from_string "10.1.0.0/24"
 439
 440
 441 test_adjacent3 :: Test
 442 test_adjacent3 =
 443     TestCase $ assertEqual "10.1.0.0/24 is not adjacent to 10.2.5.0/24" False (cidr1 `adjacent` cidr2)
 444     where
 445       cidr1 = cidr_from_string "10.1.0.0/24"
 446       cidr2 = cidr_from_string "10.2.5.0/24"
 447
 448
 449 test_adjacent4 :: Test
 450 test_adjacent4 =
 451     TestCase $ assertEqual "10.1.1.0/24 is not adjacent to 10.1.2.0/24" False (cidr1 `adjacent` cidr2)
 452     where
 453       cidr1 = cidr_from_string "10.1.1.0/24"
 454       cidr2 = cidr_from_string "10.1.2.0/24"
 455
 456
 457 test_combine_contained1 :: Test
 458 test_combine_contained1 =
 459     TestCase $ assertEqual "10.0.0.0/8, 10.1.0.0/16, and 10.1.1.0/24 combine to 10.0.0.0/8" expected_cidrs (combine_contained test_cidrs)
 460     where
 461       cidr1 = cidr_from_string "10.0.0.0/8"
 462       cidr2 = cidr_from_string "10.1.0.0/16"
 463       cidr3 = cidr_from_string "10.1.1.0/24"
 464       expected_cidrs = [cidr1]
 465       test_cidrs = [cidr1, cidr2, cidr3]
 466
 467
 468 test_combine_contained2 :: Test
 469 test_combine_contained2 =
 470     TestCase $ assertEqual "192.168.3.0/23 does not contain 192.168.1.0/24" [cidr1, cidr2] (combine_contained [cidr1, cidr2])
 471     where
 472       cidr1 = cidr_from_string "192.168.3.0/23"
 473       cidr2 = cidr_from_string "192.168.1.0/24"
 474
 475
 476 test_combine_all1 :: Test
 477 test_combine_all1 =
 478     TestCase $ assertEqual "10.0.0.0/24 is adjacent to 10.0.1.0/24 and 10.0.3.0/23 contains 10.0.2.0/24" expected_cidrs (combine_all test_cidrs)
 479     where
 480       cidr1 = cidr_from_string "10.0.0.0/24"
 481       cidr2 = cidr_from_string "10.0.1.0/24"
 482       cidr3 = cidr_from_string "10.0.2.0/24"
 483       cidr4 = cidr_from_string "10.0.3.0/23"
 484       cidr5 = cidr_from_string "10.0.0.0/23"
 485       expected_cidrs = [cidr4, cidr5]
 486       test_cidrs = [cidr1, cidr2, cidr3, cidr4]
 487
 488
 489 test_combine_all2 :: Test
 490 test_combine_all2 =
 491     TestCase $ assertEqual "127.0.0.1/32 combines with itself recursively" expected_cidrs (combine_all test_cidrs)
 492     where
 493       cidr1 = cidr_from_string "127.0.0.1/32"
 494       expected_cidrs = [cidr1]
 495       test_cidrs = [cidr1, cidr1, cidr1, cidr1, cidr1]
 496
 497
 498 cidr_tests :: [Test]
 499 cidr_tests = [ test_equality1,
 500                test_contains1,
 501                test_contains2,
 502                test_contains_proper1,
 503                test_contains_proper2,
 504                test_adjacent1,
 505                test_adjacent2,
 506                test_adjacent3,
 507                test_adjacent4,
 508                test_combine_contained1,
 509                test_combine_contained2,
 510                test_combine_all1,
 511                test_combine_all2
 512              ]
 513
 514
 515 -- QuickCheck Tests
 516 prop_all_cidrs_contain_themselves :: Cidr -> Bool
 517 prop_all_cidrs_contain_themselves cidr1 = cidr1 `contains` cidr1
 518
 519
 520 -- If cidr1 properly contains cidr2, then by definition cidr2
 521 -- does not properly contain cidr1.
 522 prop_contains_proper_intransitive :: Cidr -> Cidr -> Property
 523 prop_contains_proper_intransitive cidr1 cidr2 =
 524     (cidr1 `contains_proper` cidr2) ==>
 525       (not (cidr2 `contains_proper` cidr1))