-- with the CIDR type.
module Cidr
( Cidr(..),
- cidr_from_string,
cidr_properties,
cidr_tests,
combine_all,
min_octet2,
min_octet3,
min_octet4,
- prop_all_cidrs_contain_themselves,
- prop_contains_proper_intransitive
+ normalize
) where
-import Data.List (nubBy)
+import Data.List (nub)
import Data.List.Split (splitOneOf)
-import Data.Maybe (catMaybes, fromJust, mapMaybe)
-
-import Test.HUnit (assertEqual)
-import Test.Framework (Test, testGroup)
-import Test.Framework.Providers.HUnit (testCase)
-import Test.Framework.Providers.QuickCheck2 (testProperty)
-import Test.QuickCheck (Arbitrary(..), Gen, Property, (==>))
+import Data.Maybe (catMaybes, mapMaybe)
+
+import Test.Tasty ( TestTree, localOption, testGroup )
+import Test.Tasty.HUnit ( (@?=), testCase )
+import Test.Tasty.QuickCheck (
+ Arbitrary( arbitrary ),
+ Gen,
+ Property,
+ QuickCheckTests( QuickCheckTests ),
+ (==>),
+ testProperty )
import Text.Read (readMaybe)
import qualified Bit as B (Bit(..))
-import IPv4Address (IPv4Address(..), most_sig_bit_different)
-import Maskable (Maskable(..))
-import Maskbits (Maskbits(..))
-import Octet (Octet(..))
+import IPv4Address (
+ IPv4Address( IPv4Address, octet1, octet2, octet3, octet4 ),
+ most_sig_bit_different )
+import Maskable (Maskable(apply_mask))
+import Maskbits ( Maskbits(Zero) )
+import Octet (Octet())
data Cidr = Cidr { ipv4address :: IPv4Address,
maskbits :: Maskbits }
-
instance Show Cidr where
show cidr = (show (ipv4address cidr)) ++ "/" ++ (show (maskbits cidr))
instance Eq Cidr where
- cidr1 == cidr2 = (cidr1 `equivalent` cidr2)
-
-
--- | Two CIDR ranges are equivalent if they have the same network bits
--- and the masks are the same.
-equivalent :: Cidr -> Cidr -> Bool
-equivalent (Cidr addr1 mbits1) (Cidr addr2 mbits2) =
- (mbits1 == mbits2) && ((apply_mask addr1 mbits1 B.Zero) == (apply_mask addr2 mbits2 B.Zero))
+ -- | Two CIDRs are equal if they have the same network bits and if
+ -- their masks are the same. In other words, if they are the same
+ -- after normalization.
+ cidr1 == cidr2 = (cidr1 <= cidr2) && (cidr2 <= cidr1)
+
+instance Ord Cidr where
+ -- | The CIDR order is simply numeric, with the IPv4Address being
+ -- considered first, before the mask. There was an arbitrary
+ -- choice that had to be made here: which CIDR is smaller,
+ -- 127.0.0.1/8, or 127.0.0.1/32?
+ --
+ -- The arguments for 127.0.0.1/8 <= 127.0.0.1/32 are that it
+ -- agrees with the numeric sort order on masks, and that it's
+ -- generally nicer to see the big networks before the small ones.
+ --
+ -- On the other hand, this order disagrees with the containment
+ -- partial order, since 127.0.0.1/32 is contained properly in
+ -- 127.0.0.1/8.
+ --
+ cidr1 <= cidr2 = if addr1 == addr2 then mask1 <= mask2 else addr1 <= addr2
+ where
+ Cidr addr1 mask1 = normalize cidr1
+ Cidr addr2 mask2 = normalize cidr2
-- | Returns the mask portion of a CIDR address. That is, everything
-- after the trailing slash.
-- of its octets (as Ints).
octets_from_cidr_string :: String -> [Octet]
octets_from_cidr_string s =
- mapMaybe readMaybe (take 4 (splitOneOf "./" s))
-
-
--- | Return Nothing if we can't parse both maskbits and octets from
--- the string.
-cidr_from_string :: String -> Maybe Cidr
-cidr_from_string s =
- case (octets_from_cidr_string s) of
- [oct1, oct2, oct3, oct4] ->
- case (maskbits_from_cidr_string s) of
- Just mbits ->
- Just $ Cidr (IPv4Address oct1 oct2 oct3 oct4) mbits
- _ -> Nothing
- _ -> Nothing
+ case parts of
+ (p1:p2:p3:p4:_) -> mapMaybe readMaybe [p1,p2,p3,p4]
+ _ -> []
+ where
+ parts = splitOneOf "./" s
+instance Read Cidr where
+ -- | Parse everything or nothing.
+ readsPrec _ s =
+ case (octets_from_cidr_string s) of
+ [oct1, oct2, oct3, oct4] ->
+ case (maskbits_from_cidr_string s) of
+ Just mbits ->
+ [(Cidr (IPv4Address oct1 oct2 oct3 oct4) mbits, "")]
+ _ -> []
+ _ -> []
-- | Given a CIDR, return the minimum valid IPv4 address contained
| cidrs == (combine_contained unique_cidrs) = cidrs
| otherwise = combine_all (combine_contained unique_cidrs)
where
- unique_cidrs = nubBy equivalent cidr_combinations
+ unique_cidrs = nub cidr_combinations
cidr_combinations =
cidrs ++ (catMaybes [ (combine_adjacent x y) | x <- cidrs, y <- cidrs ])
enumerate :: Cidr -> [IPv4Address]
enumerate cidr = [(min_host cidr)..(max_host cidr)]
+
+-- | Replace any masked bits in this CIDR's IPv4Address with zeros.
+normalize :: Cidr -> Cidr
+normalize (Cidr addr mask) =
+ Cidr nrml_addr mask
+ where
+ nrml_addr = apply_mask addr mask B.Zero
+
-- Test lists.
-cidr_tests :: Test
+cidr_tests :: TestTree
cidr_tests =
testGroup "CIDR Tests" [
test_enumerate,
test_combine_contained2,
test_combine_all1,
test_combine_all2,
- test_combine_all3 ]
+ test_combine_all3,
+ test_normalize1,
+ test_normalize2,
+ test_normalize3,
+ test_big_networks_come_first ]
-cidr_properties :: Test
+cidr_properties :: TestTree
cidr_properties =
testGroup "CIDR Properties" [
- testProperty
- "All CIDRs contain themselves"
prop_all_cidrs_contain_themselves,
-
- testProperty
- "contains_proper is intransitive"
- prop_contains_proper_intransitive
- ]
+ prop_contains_proper_antisymmetric,
+ prop_normalize_idempotent,
+ prop_normalize_preserves_equality,
+ prop_ord_instance_antisymmetric,
+ prop_ord_instance_reflexive,
+ prop_ord_instance_transitive,
+ prop_ord_uses_addr_when_masks_equal,
+ prop_ord_uses_mask_when_addrs_equal,
+ prop_ord_and_contains_disagree,
+ prop_ord_minimum,
+ prop_ord_maximum ]
-- HUnit Tests
-test_enumerate :: Test
+test_enumerate :: TestTree
test_enumerate =
- testCase desc $ assertEqual desc expected actual
+ testCase desc $ actual @?= expected
where
desc = "192.168.0.240/30 is enumerated correctly"
- oct1 = toEnum 192
- oct2 = toEnum 168
- oct3 = minBound
+ oct1 = toEnum 192 :: Octet
+ oct2 = toEnum 168 :: Octet
+ oct3 = minBound :: Octet
mk_ip = IPv4Address oct1 oct2 oct3
addr1 = mk_ip $ toEnum 240
addr2 = mk_ip $ toEnum 241
addr3 = mk_ip $ toEnum 242
addr4 = mk_ip $ toEnum 243
expected = [addr1, addr2, addr3, addr4]
- actual = enumerate $ fromJust $ cidr_from_string "192.168.0.240/30"
+ actual = enumerate (read "192.168.0.240/30" :: Cidr)
-test_min_host1 :: Test
+test_min_host1 :: TestTree
test_min_host1 =
- testCase desc $
- assertEqual desc
- expected
- actual
+ testCase desc $ actual @?= expected
where
desc = "The minimum host in 10.0.0.0/24 is 10.0.0.0"
- actual = show $ min_host (fromJust $ cidr_from_string "10.0.0.0/24")
+ actual = show $ min_host (read "10.0.0.0/24" :: Cidr)
expected = "10.0.0.0"
-test_max_host1 :: Test
+test_max_host1 :: TestTree
test_max_host1 =
- testCase desc $
- assertEqual desc
- expected
- actual
+ testCase desc $ actual @?= expected
where
desc = "The maximum host in 10.0.0.0/24 is 10.0.0.255"
- actual = show $ max_host (fromJust $ cidr_from_string "10.0.0.0/24")
+ actual = show $ max_host (read "10.0.0.0/24" :: Cidr)
expected = "10.0.0.255"
-test_equality1 :: Test
+test_equality1 :: TestTree
test_equality1 =
- testCase desc $
- assertEqual
- desc
- True
- (cidr1 == cidr1)
+ testCase desc $ actual @?= expected
where
desc = "10.1.1.0/23 equals itself"
- cidr1 = fromJust $ cidr_from_string "10.1.1.0/23"
+ actual = read "10.1.1.0/23" :: Cidr
+ expected = read "10.1.1.0/23" :: Cidr
-test_contains1 :: Test
+test_contains1 :: TestTree
test_contains1 =
- testCase desc $
- assertEqual
- desc
- True
- (cidr1 `contains` cidr2)
+ testCase desc $ actual @?= expected
where
desc = "10.1.1.0/23 contains 10.1.1.0/24"
- cidr1 = fromJust $ cidr_from_string "10.1.1.0/23"
- cidr2 = fromJust $ cidr_from_string "10.1.1.0/24"
+ cidr1 = read "10.1.1.0/23" :: Cidr
+ cidr2 = read "10.1.1.0/24" :: Cidr
+ expected = True
+ actual = cidr1 `contains` cidr2
-test_contains2 :: Test
+test_contains2 :: TestTree
test_contains2 =
- testCase desc $
- assertEqual
- desc
- True
- (cidr1 `contains` cidr1)
+ testCase desc $ actual @?= expected
where
desc = "10.1.1.0/23 contains itself"
- cidr1 = fromJust $ cidr_from_string "10.1.1.0/23"
+ cidr1 = read "10.1.1.0/23" :: Cidr
+ expected = True
+ actual = cidr1 `contains` cidr1
-test_contains_proper1 :: Test
+test_contains_proper1 :: TestTree
test_contains_proper1 =
- testCase desc $
- assertEqual
- desc
- True
- (cidr1 `contains_proper` cidr2)
+ testCase desc $ actual @?= expected
where
desc = "10.1.1.0/23 contains 10.1.1.0/24 properly"
- cidr1 = fromJust $ cidr_from_string "10.1.1.0/23"
- cidr2 = fromJust $ cidr_from_string "10.1.1.0/24"
+ cidr1 = read "10.1.1.0/23" :: Cidr
+ cidr2 = read "10.1.1.0/24" :: Cidr
+ expected = True
+ actual = cidr1 `contains_proper` cidr2
-test_contains_proper2 :: Test
+test_contains_proper2 :: TestTree
test_contains_proper2 =
- testCase desc $
- assertEqual
- desc
- False
- (cidr1 `contains_proper` cidr1)
+ testCase desc $ actual @?= expected
where
desc = "10.1.1.0/23 does not contain itself properly"
- cidr1 = fromJust $ cidr_from_string "10.1.1.0/23"
+ cidr1 = read "10.1.1.0/23" :: Cidr
+ expected = False
+ actual = cidr1 `contains_proper` cidr1
-test_adjacent1 :: Test
+test_adjacent1 :: TestTree
test_adjacent1 =
- testCase desc $
- assertEqual
- desc
- True
- (cidr1 `adjacent` cidr2)
+ testCase desc $ actual @?= expected
where
desc = "10.1.0.0/24 is adjacent to 10.1.1.0/24"
- cidr1 = fromJust $ cidr_from_string "10.1.0.0/24"
- cidr2 = fromJust $ cidr_from_string "10.1.1.0/24"
+ cidr1 = read "10.1.0.0/24" :: Cidr
+ cidr2 = read "10.1.1.0/24" :: Cidr
+ expected = True
+ actual = cidr1 `adjacent` cidr2
-test_adjacent2 :: Test
+test_adjacent2 :: TestTree
test_adjacent2 =
- testCase desc $
- assertEqual
- desc
- False
- (cidr1 `adjacent` cidr2)
+ testCase desc $ actual @?= expected
where
desc = "10.1.0.0/23 is not adjacent to 10.1.0.0/24"
- cidr1 = fromJust $ cidr_from_string "10.1.0.0/23"
- cidr2 = fromJust $ cidr_from_string "10.1.0.0/24"
+ cidr1 = read "10.1.0.0/23" :: Cidr
+ cidr2 = read "10.1.0.0/24" :: Cidr
+ expected = False
+ actual = cidr1 `adjacent` cidr2
-test_adjacent3 :: Test
+test_adjacent3 :: TestTree
test_adjacent3 =
- testCase desc $
- assertEqual
- desc
- False
- (cidr1 `adjacent` cidr2)
+ testCase desc $ actual @?= expected
where
desc = "10.1.0.0/24 is not adjacent to 10.2.5.0/24"
- cidr1 = fromJust $ cidr_from_string "10.1.0.0/24"
- cidr2 = fromJust $ cidr_from_string "10.2.5.0/24"
+ cidr1 = read "10.1.0.0/24" :: Cidr
+ cidr2 = read "10.2.5.0/24" :: Cidr
+ expected = False
+ actual = cidr1 `adjacent` cidr2
-test_adjacent4 :: Test
+test_adjacent4 :: TestTree
test_adjacent4 =
- testCase desc $
- assertEqual
- desc
- False
- (cidr1 `adjacent` cidr2)
+ testCase desc $ actual @?= expected
where
desc = "10.1.1.0/24 is not adjacent to 10.1.2.0/24"
- cidr1 = fromJust $ cidr_from_string "10.1.1.0/24"
- cidr2 = fromJust $ cidr_from_string "10.1.2.0/24"
+ cidr1 = read "10.1.1.0/24" :: Cidr
+ cidr2 = read "10.1.2.0/24" :: Cidr
+ expected = False
+ actual = cidr1 `adjacent` cidr2
-
-test_combine_contained1 :: Test
+test_combine_contained1 :: TestTree
test_combine_contained1 =
- testCase desc $
- assertEqual
- desc
- expected_cidrs
- (combine_contained test_cidrs)
+ testCase desc $ actual @?= expected
where
desc = "10.0.0.0/8, 10.1.0.0/16, and 10.1.1.0/24 combine to 10.0.0.0/8"
- cidr1 = fromJust $ cidr_from_string "10.0.0.0/8"
- cidr2 = fromJust $ cidr_from_string "10.1.0.0/16"
- cidr3 = fromJust $ cidr_from_string "10.1.1.0/24"
- expected_cidrs = [cidr1]
+ cidr1 = read "10.0.0.0/8" :: Cidr
+ cidr2 = read "10.1.0.0/16" :: Cidr
+ cidr3 = read "10.1.1.0/24" :: Cidr
test_cidrs = [cidr1, cidr2, cidr3]
+ expected = [cidr1]
+ actual = combine_contained test_cidrs
-
-test_combine_contained2 :: Test
+test_combine_contained2 :: TestTree
test_combine_contained2 =
- testCase desc $
- assertEqual
- desc
- [cidr1, cidr2]
- (combine_contained [cidr1, cidr2])
+ testCase desc $ actual @?= expected
where
desc = "192.168.3.0/23 does not contain 192.168.1.0/24"
- cidr1 = fromJust $ cidr_from_string "192.168.3.0/23"
- cidr2 = fromJust $ cidr_from_string "192.168.1.0/24"
+ cidr1 = read "192.168.3.0/23" :: Cidr
+ cidr2 = read "192.168.1.0/24" :: Cidr
+ expected = [cidr1, cidr2]
+ actual = combine_contained [cidr1, cidr2]
-test_combine_all1 :: Test
+test_combine_all1 :: TestTree
test_combine_all1 =
- testCase desc $
- assertEqual
- desc
- expected_cidrs
- (combine_all test_cidrs)
+ testCase desc $ actual @?= expected
where
desc = "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"
- cidr1 = fromJust $ cidr_from_string "10.0.0.0/24"
- cidr2 = fromJust $ cidr_from_string "10.0.1.0/24"
- cidr3 = fromJust $ cidr_from_string "10.0.2.0/24"
- cidr4 = fromJust $ cidr_from_string "10.0.3.0/23"
- cidr5 = fromJust $ cidr_from_string "10.0.0.0/23"
- expected_cidrs = [fromJust $ cidr_from_string "10.0.0.0/22"]
+ cidr1 = read "10.0.0.0/24" :: Cidr
+ cidr2 = read "10.0.1.0/24" :: Cidr
+ cidr3 = read "10.0.2.0/24" :: Cidr
+ cidr4 = read "10.0.3.0/23" :: Cidr
+ cidr5 = read "10.0.0.0/23" :: Cidr
test_cidrs = [cidr1, cidr2, cidr3, cidr4, cidr5]
+ expected = [read "10.0.0.0/22" :: Cidr]
+ actual = combine_all test_cidrs
-test_combine_all2 :: Test
+test_combine_all2 :: TestTree
test_combine_all2 =
- testCase desc $
- assertEqual
- desc
- expected_cidrs
- (combine_all test_cidrs)
- where
- desc = "127.0.0.1/32 combines with itself recursively"
- cidr1 = fromJust $ cidr_from_string "127.0.0.1/32"
- expected_cidrs = [cidr1]
- test_cidrs = [cidr1, cidr1, cidr1, cidr1, cidr1]
+ testCase desc $ actual @?= expected
+ where
+ desc = "127.0.0.1/32 combines with itself recursively"
+ cidr1 = read "127.0.0.1/32" :: Cidr
+ test_cidrs = [cidr1, cidr1, cidr1, cidr1, cidr1]
+ expected = [cidr1]
+ actual = combine_all test_cidrs
-test_combine_all3 :: Test
+test_combine_all3 :: TestTree
test_combine_all3 =
- testCase desc $
- assertEqual
- desc
- expected_cidrs
- (combine_all test_cidrs)
+ testCase desc $ actual @?= expected
where
desc = "10.0.0.16, 10.0.0.17, 10.0.0.18, and "
++ "10.0.0.19 get combined into 10.0.0.16/30"
- cidr1 = fromJust $ cidr_from_string "10.0.0.16/32"
- cidr2 = fromJust $ cidr_from_string "10.0.0.17/32"
- cidr3 = fromJust $ cidr_from_string "10.0.0.18/32"
- cidr4 = fromJust $ cidr_from_string "10.0.0.19/32"
- expected_cidrs = [fromJust $ cidr_from_string "10.0.0.16/30"]
+ cidr1 = read "10.0.0.16/32" :: Cidr
+ cidr2 = read "10.0.0.17/32" :: Cidr
+ cidr3 = read "10.0.0.18/32" :: Cidr
+ cidr4 = read "10.0.0.19/32" :: Cidr
test_cidrs = [cidr1, cidr2, cidr3, cidr4]
+ expected = [read "10.0.0.16/30" :: Cidr]
+ actual = combine_all test_cidrs
+
+test_normalize1 :: TestTree
+test_normalize1 =
+ testCase desc $ actual @?= expected
+ where
+ desc = "127.0.0.1/8 normalized is 127.0.0.0/8"
+ expected = read "127.0.0.0/8" :: Cidr
+ actual = normalize (read "127.0.0.1/8" :: Cidr)
+test_normalize2 :: TestTree
+test_normalize2 =
+ testCase desc $ actual @?= expected
+ where
+ desc = "192.168.1.101/24 normalized is 192.168.1.0/24"
+ expected = read "192.168.1.0/24" :: Cidr
+ actual = normalize (read "192.168.1.101/24" :: Cidr)
+
+test_normalize3 :: TestTree
+test_normalize3 =
+ testCase desc $ actual @?= expected
+ where
+ desc = "10.10.10.10/22 normalized is 10.10.8.0/22"
+ expected = read "10.10.8.0/22" :: Cidr
+ actual = normalize (read "10.10.10.10/22" :: Cidr)
+
+-- | Test a stated property of the Ord instance, namely that the big
+-- network 127.0.0.1/8 comes before the small network 127.0.0.1/32.
+test_big_networks_come_first :: TestTree
+test_big_networks_come_first =
+ testCase desc $ actual @?= expected
+ where
+ desc = "127.0.0.1/8 comes before 127.0.0.1/32"
+ big = read "127.0.0.1/8" :: Cidr
+ small = read "127.0.0.1/32" :: Cidr
+ expected = True
+ actual = big <= small -- not a typo
+
-- QuickCheck Tests
-prop_all_cidrs_contain_themselves :: Cidr -> Bool
-prop_all_cidrs_contain_themselves cidr1 = cidr1 `contains` cidr1
+prop_all_cidrs_contain_themselves :: TestTree
+prop_all_cidrs_contain_themselves =
+ testProperty "All CIDRs contain themselves" prop
+ where
+ prop :: Cidr -> Bool
+ prop 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))
+prop_contains_proper_antisymmetric :: TestTree
+prop_contains_proper_antisymmetric =
+ testProperty "CIDR proper containment is an antisymmetric relation" prop
+ where
+ prop :: Cidr -> Cidr -> Property
+ prop cidr1 cidr2 =
+ (cidr1 `contains_proper` cidr2) ==>
+ (not (cidr2 `contains_proper` cidr1))
+
+
+-- Running "normalize" a second time shouldn't do anything.
+prop_normalize_idempotent :: TestTree
+prop_normalize_idempotent =
+ testProperty "The CIDR \"normalize\" function is idempotent" prop
+ where
+ prop :: Cidr -> Bool
+ prop cidr = (normalize cidr) == (normalize (normalize cidr))
+
+-- Normalization should not affect equality of two CIDRs.
+prop_normalize_preserves_equality :: TestTree
+prop_normalize_preserves_equality =
+ testProperty "The CIDR \"normalize\" function preserves equality" prop
+ where
+ prop :: Cidr -> Cidr -> Bool
+ prop cidr1 cidr2 = (cidr1 == cidr2) == (normalize cidr1 == normalize cidr2)
+
+
+prop_ord_instance_reflexive :: TestTree
+prop_ord_instance_reflexive =
+ testProperty "The CIDR order is reflexive" prop
+ where
+ prop :: Cidr -> Bool
+ prop cidr = cidr <= cidr
+
+
+prop_ord_instance_transitive :: TestTree
+prop_ord_instance_transitive =
+ testProperty "The CIDR order is transitive" prop
+ where
+ prop :: Cidr -> Cidr -> Cidr -> Property
+ prop cidr1 cidr2 cidr3 =
+ (cidr1 <= cidr2 && cidr2 <= cidr3) ==> cidr1 <= cidr3
+
+-- This is how Eq is currently implemented, but it is useful to have
+-- around in case that changes. Try fewer instances of this than usual
+-- because it's a rare condition.
+prop_ord_instance_antisymmetric :: TestTree
+prop_ord_instance_antisymmetric =
+ localOption (QuickCheckTests 500) $
+ testProperty "The CIDR order is antisymmetric" prop
+ where
+ prop :: Cidr -> Cidr -> Property
+ prop cidr1 cidr2 =
+ (cidr1 <= cidr2 && cidr2 <= cidr1) ==> cidr1 == cidr2
+
+
+-- When comparing two CIDRs with the same mask, the comparison
+-- should be numeric (i.e. whatever the IPv4Address does).
+-- Of course, we have to normalize first.
+prop_ord_uses_addr_when_masks_equal :: TestTree
+prop_ord_uses_addr_when_masks_equal =
+ testProperty "The CIDR order is the IPv4Address order for equal masks" prop
+ where
+ prop :: Cidr -> Cidr -> Property
+ prop cidr1 cidr2 =
+ (mask1 == mask2) ==> (cidr1 <= cidr2) == (addr1 <= addr2)
+ where
+ (Cidr addr1 mask1) = normalize cidr1
+ (Cidr addr2 mask2) = normalize cidr2
+
+
+-- If we have two CIDRs whose normalized addresses agree, then we want
+-- to use the mask order, i.e. that big networks come before small
+-- networks. This disagrees with containment order.
+prop_ord_uses_mask_when_addrs_equal :: TestTree
+prop_ord_uses_mask_when_addrs_equal =
+ localOption (QuickCheckTests 500) $
+ testProperty "The CIDR order is by mask when the addresses agree" prop
+ where
+ prop :: Cidr -> Cidr -> Property
+ prop cidr1 cidr2 =
+ (addr1 == addr2) ==> (cidr1 <= cidr2) == (mask1 <= mask2)
+ where
+ (Cidr addr1 mask1) = normalize cidr1
+ (Cidr addr2 mask2) = normalize cidr2
+
+
+-- Big networks come first.
+prop_ord_and_contains_disagree :: TestTree
+prop_ord_and_contains_disagree =
+ testProperty "The CIDR order disagrees with containment" prop
+ where
+ prop :: Cidr -> Cidr -> Property
+ prop cidr1 cidr2 = (cidr1 `contains` cidr2) ==> (cidr1 <= cidr2)
+
+
+-- The biggest network always comes first.
+prop_ord_minimum :: TestTree
+prop_ord_minimum =
+ testProperty "The CIDR order has 0.0.0.0/0 as a minimum" prop
+ where
+ min_cidr = read "0.0.0.0/0" :: Cidr
+ prop :: Cidr -> Bool
+ prop cidr = min_cidr <= cidr
+
+
+-- The CIDR order also has a maximum.
+prop_ord_maximum :: TestTree
+prop_ord_maximum =
+ testProperty "The CIDR order has 255.255.255.255/32 as a maximum" prop
+ where
+ max_cidr = read "255.255.255.255/32" :: Cidr
+ prop :: Cidr -> Bool
+ prop cidr = max_cidr >= cidr