+
+
+
+min_host :: Cidr -> IPv4Address
+min_host Cidr.None = IPv4Address.None
+min_host (Cidr IPv4Address.None _) = IPv4Address.None
+min_host (Cidr _ Maskbits.None) = IPv4Address.None
+min_host (Cidr addr mask)
+ | mask == ThirtyTwo = addr
+ | mask == ThirtyOne = addr { octet4 = apply_mask oct4 Seven }
+ | mask == Thirty = addr { octet4 = apply_mask oct4 Six }
+ | mask == TwentyNine = addr { octet4 = apply_mask oct4 Five }
+ | mask == TwentyEight = addr { octet4 = apply_mask oct4 Four }
+ | mask == TwentySeven = addr { octet4 = apply_mask oct4 Three }
+ | mask == TwentySix = addr { octet4 = apply_mask oct4 Two }
+ | mask == TwentyFive = addr { octet4 = apply_mask oct4 One }
+ | mask == TwentyFour = addr { octet4 = min_octet }
+ | mask == TwentyThree = addr { octet3 = apply_mask oct3 Seven,
+ octet4 = min_octet }
+ | mask == TwentyTwo = addr { octet3 = apply_mask oct3 Six,
+ octet4 = min_octet }
+ | mask == TwentyOne = addr { octet3 = apply_mask oct3 Five,
+ octet4 = min_octet }
+ | mask == Twenty = addr { octet3 = apply_mask oct3 Four,
+ octet4 = min_octet }
+ | mask == Nineteen = addr { octet3 = apply_mask oct3 Three,
+ octet4 = min_octet }
+ | mask == Eighteen = addr { octet3 = apply_mask oct3 Two,
+ octet4 = min_octet }
+ | mask == Seventeen = addr { octet3 = apply_mask oct3 One,
+ octet4 = min_octet }
+ | mask == Sixteen = addr { octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Fifteen = addr { octet2 = apply_mask oct2 Seven,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Fourteen = addr { octet2 = apply_mask oct2 Six,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Thirteen = addr { octet2 = apply_mask oct2 Five,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Twelve = addr { octet2 = apply_mask oct2 Four,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Eleven = addr { octet2 = apply_mask oct2 Three,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Ten = addr { octet2 = apply_mask oct2 Two,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Nine = addr { octet2 = apply_mask oct2 One,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Eight = addr { octet2 = min_octet,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Seven = addr { octet1 = apply_mask oct1 Seven,
+ octet2 = min_octet,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Six = addr { octet1 = apply_mask oct1 Six,
+ octet2 = min_octet,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Five = addr { octet1 = apply_mask oct1 Five,
+ octet2 = min_octet,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Four = addr { octet1 = apply_mask oct1 Four,
+ octet2 = min_octet,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Three = addr { octet1 = apply_mask oct1 Three,
+ octet2 = min_octet,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Two = addr { octet1 = apply_mask oct1 Two,
+ octet2 = min_octet,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == One = addr { octet1 = apply_mask oct1 One,
+ octet2 = min_octet,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | mask == Zero = addr { octet1 = min_octet,
+ octet2 = min_octet,
+ octet3 = min_octet,
+ octet4 = min_octet }
+ | otherwise = addr
+ where
+ oct1 = (octet1 addr)
+ oct2 = (octet2 addr)
+ oct3 = (octet3 addr)
+ oct4 = (octet4 addr)
+
+
+
+max_host :: Cidr -> IPv4Address
+max_host Cidr.None = IPv4Address.None
+max_host (Cidr IPv4Address.None _) = IPv4Address.None
+max_host (Cidr _ Maskbits.None) = IPv4Address.None
+max_host (Cidr addr mask)
+ | mask == ThirtyTwo = addr
+ | mask == ThirtyOne = addr { octet4 = oct4 { b8 = B.One } }
+ | mask == Thirty = addr { octet4 = oct4 { b7 = B.One, b8 = B.One } }
+ | mask == TwentyNine = addr { octet4 = oct4 { b6 = B.One,
+ b7 = B.One,
+ b8 = B.One } }
+ | mask == TwentyEight = addr { octet4 = oct4 { b5 = B.One,
+ b6 = B.One,
+ b7 = B.One,
+ b8 = B.One } }
+ | mask == TwentySeven = addr { octet4 = oct4 { b4 = B.One,
+ b5 = B.One,
+ b6 = B.One,
+ b7 = B.One,
+ b8 = B.One } }
+ | mask == TwentySix = addr { octet4 = oct4 { b3 = B.One,
+ b4 = B.One,
+ b5 = B.One,
+ b6 = B.One,
+ b7 = B.One,
+ b8 = B.One } }
+ | mask == TwentyFive = addr { octet4 = oct4 { b2 = B.One,
+ b3 = B.One,
+ b4 = B.One,
+ b5 = B.One,
+ b6 = B.One,
+ b7 = B.One,
+ b8 = B.One } }
+ | mask == TwentyFour = addr { octet4 = max_octet }
+ | mask == TwentyThree = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 a20 a21 a22 a23 B.One) (max_octet)
+ | mask == TwentyTwo = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 a20 a21 a22 B.One B.One) (max_octet)
+ | mask == TwentyOne = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 a20 a21 B.One B.One B.One) (max_octet)
+ | mask == Twenty = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 a20 B.One B.One B.One B.One) (max_octet)
+ | mask == Nineteen = ipv4address_from_octets oct1 oct2 (Octet a17 a18 a19 B.One B.One B.One B.One B.One) (max_octet)
+ | mask == Eighteen = ipv4address_from_octets oct1 oct2 (Octet a17 a18 B.One B.One B.One B.One B.One B.One) (max_octet)
+ | 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)
+ | mask == Sixteen = ipv4address_from_octets oct1 oct2 (max_octet) (max_octet)
+ | mask == Fifteen = ipv4address_from_octets oct1 (Octet a9 a10 a11 a12 a13 a14 a15 B.One) (max_octet) (max_octet)
+ | mask == Fourteen = ipv4address_from_octets oct1 (Octet a9 a10 a11 a12 a13 a14 B.One B.One) (max_octet) (max_octet)
+ | mask == Thirteen = ipv4address_from_octets oct1 (Octet a9 a10 a11 a12 a13 B.One B.One B.One) (max_octet) (max_octet)
+ | mask == Twelve = ipv4address_from_octets oct1 (Octet a9 a10 a11 a12 B.One B.One B.One B.One) (max_octet) (max_octet)
+ | mask == Eleven = ipv4address_from_octets oct1 (Octet a9 a10 a11 B.One B.One B.One B.One B.One) (max_octet) (max_octet)
+ | 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)
+ | 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)
+ | mask == Eight = ipv4address_from_octets oct1 (max_octet) (max_octet) (max_octet)
+ | mask == Seven = ipv4address_from_octets (Octet a1 a2 a3 a4 a5 a6 a7 B.One) (max_octet) (max_octet) (max_octet)
+ | mask == Six = ipv4address_from_octets (Octet a1 a2 a3 a4 a5 a6 B.One B.One) (max_octet) (max_octet) (max_octet)
+ | mask == Five = ipv4address_from_octets (Octet a1 a2 a3 a4 a5 B.One B.One B.One) (max_octet) (max_octet) (max_octet)
+ | mask == Four = ipv4address_from_octets (Octet a1 a2 a3 a4 B.One B.One B.One B.One) (max_octet) (max_octet) (max_octet)
+ | 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)
+ | 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)
+ | 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)
+ | mask == Zero = ipv4address_from_octets (max_octet) (max_octet) (max_octet) (max_octet)
+ | otherwise = addr
+ where
+ a1 = (b1 oct1)
+ a2 = (b2 oct1)
+ a3 = (b3 oct1)
+ a4 = (b4 oct1)
+ a5 = (b5 oct1)
+ a6 = (b6 oct1)
+ a7 = (b7 oct1)
+ a9 = (b1 oct2)
+ a10 = (b2 oct2)
+ a11 = (b3 oct2)
+ a12 = (b4 oct2)
+ a13 = (b5 oct2)
+ a14 = (b6 oct2)
+ a15 = (b7 oct2)
+ a17 = (b1 oct3)
+ a18 = (b2 oct3)
+ a19 = (b3 oct3)
+ a20 = (b4 oct3)
+ a21 = (b5 oct3)
+ a22 = (b6 oct3)
+ a23 = (b7 oct3)
+ oct1 = (octet1 addr)
+ oct2 = (octet2 addr)
+ oct3 = (octet3 addr)
+ oct4 = (octet4 addr)
+
+
+
+min_octet1 :: Cidr -> Octet
+min_octet1 cidr = octet1 (min_host cidr)
+
+min_octet2 :: Cidr -> Octet
+min_octet2 cidr = octet2 (min_host cidr)
+
+min_octet3 :: Cidr -> Octet
+min_octet3 cidr = octet3 (min_host cidr)
+
+min_octet4 :: Cidr -> Octet
+min_octet4 cidr = octet4 (min_host cidr)
+
+max_octet1 :: Cidr -> Octet
+max_octet1 cidr = octet1 (max_host cidr)
+
+max_octet2 :: Cidr -> Octet
+max_octet2 cidr = octet2 (max_host cidr)
+
+max_octet3 :: Cidr -> Octet
+max_octet3 cidr = octet3 (max_host cidr)
+
+max_octet4 :: Cidr -> Octet
+max_octet4 cidr = octet4 (max_host cidr)
+
+
+
+-- Return true if the first argument (a CIDR range) contains the
+-- second (another CIDR range). There are a lot of ways we can be fed
+-- junk here. For lack of a better alternative, just return False when
+-- we are given nonsense.
+contains :: Cidr -> Cidr -> Bool
+contains Cidr.None _ = False
+contains _ Cidr.None = False
+contains (Cidr _ Maskbits.None) _ = False
+contains (Cidr IPv4Address.None _) _ = False
+contains _ (Cidr _ Maskbits.None) = False
+contains _ (Cidr IPv4Address.None _) = False
+
+-- If the number of bits in the network part of the first address is
+-- larger than the number of bits in the second, there is no way that
+-- the first range can contain the second. For, if the number of
+-- network bits is larger, then the number of host bits must be
+-- smaller, and if cidr1 has fewer hosts than cidr2, cidr1 most
+-- certainly does not contain cidr2.
+--
+-- On the other hand, if the first argument (cidr1) has fewer (or the
+-- same number of) network bits as the second, it can contain the
+-- second. In this case, we need to check that every host in cidr2 is
+-- contained in cidr1. If a host in cidr2 is contained in cidr1, then
+-- at least mbits1 of an address in cidr2 will match cidr1. For
+-- example,
+--
+-- cidr1 = 192.168.1.0/23, cidr2 = 192.168.1.100/24
+--
+-- Here, cidr2 contains all of 192.168.1.0 through
+-- 192.168.1.255. However, cidr1 contains BOTH 192.168.0.0 through
+-- 192.168.0.255 and 192.168.1.0 through 192.168.1.255. In essence,
+-- what we want to check is that cidr2 "begins with" something that
+-- cidr1 CAN begin with. Since cidr1 can begin with 192.168.1, and
+-- cidr2 DOES, cidr1 contains cidr2..
+--
+-- The way that we check this is to apply cidr1's mask to cidr2's
+-- address and see if the result is the same as cidr1's mask applied
+-- to cidr1's address.
+--
+contains (Cidr addr1 mbits1) (Cidr addr2 mbits2)
+ | mbits1 > mbits2 = False
+ | otherwise = addr1masked == addr2masked
+ where
+ addr1masked = apply_mask addr1 mbits1
+ addr2masked = apply_mask addr2 mbits1
+
+
+contains_proper :: Cidr -> Cidr -> Bool
+contains_proper cidr1 cidr2 =
+ (cidr1 `contains` cidr2) && (not (cidr2 `contains` cidr1))
+
+
+-- A CIDR range is redundant (with respect to the given list) if
+-- another CIDR range in that list properly contains it.
+redundant :: [Cidr] -> Cidr -> Bool
+redundant cidrlist cidr = any ((flip contains_proper) cidr) cidrlist
+
+
+-- First, we look at all possible pairs of cidrs, and combine the
+-- adjacent ones in to a new list. Then, we concatenate that list with
+-- the original one, and filter out all of the redundancies. If two
+-- adjacent Cidrs are combined into a larger one, they will be removed
+-- in the second step since the larger Cidr must contain the smaller
+-- two.
+combine_all :: [Cidr] -> [Cidr]
+combine_all cidrs =
+ combine_contained unique_cidrs
+ where
+ unique_cidrs = nubBy equivalent valid_cidr_combinations
+ valid_cidr_combinations = filter (/= Cidr.None) cidr_combinations
+ cidr_combinations =
+ cidrs ++ [ (combine_adjacent x y) | x <- cidrs, y <- cidrs ]
+
+
+-- Take a list of CIDR ranges and filter out all of the ones that are
+-- contained entirelt within some other range in the list.
+combine_contained :: [Cidr] -> [Cidr]
+combine_contained cidrs =
+ filter (not . (redundant cidrs)) cidrs
+
+
+-- If the two Cidrs are not adjacent, return Cidr.None. Otherwise,
+-- decrement the maskbits of cidr1 and return that; it will contain
+-- both cidr1 and cidr2.
+combine_adjacent :: Cidr -> Cidr -> Cidr
+combine_adjacent cidr1 cidr2
+ | not (adjacent cidr1 cidr2) = Cidr.None
+ | (maskbits cidr1 == Zero) = Cidr.None
+ | otherwise = cidr1 { maskbits = decrement (maskbits cidr1) }
+
+
+
+-- Determine whether or not two CIDR ranges are adjacent. If two
+-- ranges lie consecutively within the IP space, they can be
+-- combined. For example, 10.1.0.0/24 and 10.0.1.0/24 are adjacent,
+-- and can be combined in to 10.1.0.0/23.
+adjacent :: Cidr -> Cidr -> Bool
+adjacent Cidr.None _ = False
+adjacent _ Cidr.None = False
+adjacent cidr1 cidr2
+ | mbits1 /= mbits2 = False
+ | mbits1 == Maskbits.Zero = False -- They're equal.
+ | otherwise = (mbits1 == (most_sig_bit_different addr1 addr2))
+ where
+ addr1 = ipv4address cidr1
+ addr2 = ipv4address cidr2
+ mbits1 = maskbits cidr1
+ mbits2 = maskbits cidr2
+
+
+
+
+
+-- HUnit Tests
+
+test_equality1 :: Test
+test_equality1 =
+ TestCase $ assertEqual "10.1.1.0/23 equals itself" True (cidr1 == cidr1)
+ where
+ cidr1 = cidr_from_string "10.1.1.0/23"
+
+
+test_contains1 :: Test
+test_contains1 =
+ TestCase $ assertEqual "10.1.1.0/23 contains 10.1.1.0/24" True (cidr1 `contains` cidr2)
+ where
+ cidr1 = cidr_from_string "10.1.1.0/23"
+ cidr2 = cidr_from_string "10.1.1.0/24"
+
+
+test_contains2 :: Test
+test_contains2 =
+ TestCase $ assertEqual "10.1.1.0/23 contains itself" True (cidr1 `contains` cidr1)
+ where
+ cidr1 = cidr_from_string "10.1.1.0/23"
+
+
+test_contains_proper1 :: Test
+test_contains_proper1 =
+ TestCase $ assertEqual "10.1.1.0/23 contains 10.1.1.0/24 properly" True (cidr1 `contains_proper` cidr2)
+ where
+ cidr1 = cidr_from_string "10.1.1.0/23"
+ cidr2 = cidr_from_string "10.1.1.0/24"
+
+
+test_contains_proper2 :: Test
+test_contains_proper2 =
+ TestCase $ assertEqual "10.1.1.0/23 does not contain itself properly" False (cidr1 `contains_proper` cidr1)
+ where
+ cidr1 = cidr_from_string "10.1.1.0/23"
+
+
+test_adjacent1 :: Test
+test_adjacent1 =
+ TestCase $ assertEqual "10.1.0.0/24 is adjacent to 10.1.1.0/24" True (cidr1 `adjacent` cidr2)
+ where
+ cidr1 = cidr_from_string "10.1.0.0/24"
+ cidr2 = cidr_from_string "10.1.1.0/24"
+
+
+test_adjacent2 :: Test
+test_adjacent2 =
+ TestCase $ assertEqual "10.1.0.0/23 is not adjacent to 10.1.0.0/24" False (cidr1 `adjacent` cidr2)
+ where
+ cidr1 = cidr_from_string "10.1.0.0/23"
+ cidr2 = cidr_from_string "10.1.0.0/24"
+
+
+test_adjacent3 :: Test
+test_adjacent3 =
+ TestCase $ assertEqual "10.1.0.0/24 is not adjacent to 10.2.5.0/24" False (cidr1 `adjacent` cidr2)
+ where
+ cidr1 = cidr_from_string "10.1.0.0/24"
+ cidr2 = cidr_from_string "10.2.5.0/24"
+
+
+test_adjacent4 :: Test
+test_adjacent4 =
+ TestCase $ assertEqual "10.1.1.0/24 is not adjacent to 10.1.2.0/24" False (cidr1 `adjacent` cidr2)
+ where
+ cidr1 = cidr_from_string "10.1.1.0/24"
+ cidr2 = cidr_from_string "10.1.2.0/24"
+
+
+test_combine_contained1 :: Test
+test_combine_contained1 =
+ 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)
+ where
+ cidr1 = cidr_from_string "10.0.0.0/8"
+ cidr2 = cidr_from_string "10.1.0.0/16"
+ cidr3 = cidr_from_string "10.1.1.0/24"
+ expected_cidrs = [cidr1]
+ test_cidrs = [cidr1, cidr2, cidr3]
+
+
+test_combine_contained2 :: Test
+test_combine_contained2 =
+ TestCase $ assertEqual "192.168.3.0/23 does not contain 192.168.1.0/24" [cidr1, cidr2] (combine_contained [cidr1, cidr2])
+ where
+ cidr1 = cidr_from_string "192.168.3.0/23"
+ cidr2 = cidr_from_string "192.168.1.0/24"
+
+
+test_combine_all1 :: Test
+test_combine_all1 =
+ 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)
+ where
+ cidr1 = cidr_from_string "10.0.0.0/24"
+ cidr2 = cidr_from_string "10.0.1.0/24"
+ cidr3 = cidr_from_string "10.0.2.0/24"
+ cidr4 = cidr_from_string "10.0.3.0/23"
+ cidr5 = cidr_from_string "10.0.0.0/23"
+ expected_cidrs = [cidr4, cidr5]
+ test_cidrs = [cidr1, cidr2, cidr3, cidr4]
+
+
+test_combine_all2 :: Test
+test_combine_all2 =
+ TestCase $ assertEqual "127.0.0.1/32 combines with itself recursively" expected_cidrs (combine_all test_cidrs)
+ where
+ cidr1 = cidr_from_string "127.0.0.1/32"
+ expected_cidrs = [cidr1]
+ test_cidrs = [cidr1, cidr1, cidr1, cidr1, cidr1]
+
+
+cidr_tests :: [Test]
+cidr_tests = [ test_equality1,
+ test_contains1,
+ test_contains2,
+ test_contains_proper1,
+ test_contains_proper2,
+ test_adjacent1,
+ test_adjacent2,
+ test_adjacent3,
+ test_adjacent4,
+ test_combine_contained1,
+ test_combine_contained2,
+ test_combine_all1,
+ test_combine_all2
+ ]
+
+
+-- QuickCheck Tests
+prop_all_cidrs_contain_themselves :: Cidr -> Bool
+prop_all_cidrs_contain_themselves cidr1 = cidr1 `contains` cidr1
+
+
+-- If cidr1 properly contains cidr2, then by definition cidr2
+-- does not properly contain cidr1.
+prop_contains_proper_intransitive :: Cidr -> Cidr -> Property
+prop_contains_proper_intransitive cidr1 cidr2 =
+ (cidr1 `contains_proper` cidr2) ==>
+ (not (cidr2 `contains_proper` cidr1))