{-# LANGUAGE ScopedTypeVariables #-}
module Hedgehog.Classes.Eq (eqLaws) where
import Hedgehog
import Hedgehog.Classes.Common
eqLaws :: (Eq a, Show a) => Gen a -> Laws
eqLaws :: Gen a -> Laws
eqLaws Gen a
gen = String -> [(String, Property)] -> Laws
Laws String
"Eq"
[ (String
"Transitive", Gen a -> Property
forall a. (Eq a, Show a) => Gen a -> Property
eqTransitive Gen a
gen)
, (String
"Symmetric", Gen a -> Property
forall a. (Eq a, Show a) => Gen a -> Property
eqSymmetric Gen a
gen)
, (String
"Reflexive", Gen a -> Property
forall a. (Eq a, Show a) => Gen a -> Property
eqReflexive Gen a
gen)
, (String
"Negation", Gen a -> Property
forall a. (Eq a, Show a) => Gen a -> Property
eqNegation Gen a
gen)
]
eqTransitive :: forall a. (Eq a, Show a) => Gen a -> Property
eqTransitive :: Gen a -> Property
eqTransitive Gen a
gen = HasCallStack => PropertyT IO () -> Property
PropertyT IO () -> Property
property (PropertyT IO () -> Property) -> PropertyT IO () -> Property
forall a b. (a -> b) -> a -> b
$ do
a
a <- Gen a -> PropertyT IO a
forall (m :: * -> *) a.
(Monad m, Show a, HasCallStack) =>
Gen a -> PropertyT m a
forAll Gen a
gen
a
b <- Gen a -> PropertyT IO a
forall (m :: * -> *) a.
(Monad m, Show a, HasCallStack) =>
Gen a -> PropertyT m a
forAll Gen a
gen
a
c <- Gen a -> PropertyT IO a
forall (m :: * -> *) a.
(Monad m, Show a, HasCallStack) =>
Gen a -> PropertyT m a
forAll Gen a
gen
let lhs :: Bool
lhs = a
a a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
b Bool -> Bool -> Bool
&& a
b a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
c; rhs :: Bool
rhs = a
a a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
c
let ctx :: Context
ctx = LawContext -> Context
contextualise (LawContext -> Context) -> LawContext -> Context
forall a b. (a -> b) -> a -> b
$ LawContext :: String -> String -> String -> String -> String -> LawContext
LawContext
{ lawContextLawName :: String
lawContextLawName = String
"Transitivity", lawContextLawBody :: String
lawContextLawBody = String
"a == b ∧ b == c" String -> String -> String
`congruency` String
"a == c"
, lawContextTcName :: String
lawContextTcName = String
"Eq", lawContextTcProp :: String
lawContextTcProp =
let showA :: String
showA = a -> String
forall a. Show a => a -> String
show a
a; showB :: String
showB = a -> String
forall a. Show a => a -> String
show a
b; showC :: String
showC = a -> String
forall a. Show a => a -> String
show a
c;
in [String] -> String
lawWhere
[ String
"a == b ∧ b == c" String -> String -> String
`congruency` String
"a == c, where"
, String
"a = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
showA
, String
"b = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
showB
, String
"c = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
showC
]
, lawContextReduced :: String
lawContextReduced = Bool -> Bool -> String
forall a. Show a => a -> a -> String
reduced Bool
lhs Bool
rhs
}
case a
a a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
b of
Bool
True -> case a
b a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
c of { Bool
True -> a -> a -> Context -> PropertyT IO ()
forall (m :: * -> *) a.
(MonadTest m, HasCallStack, Eq a, Show a) =>
a -> a -> Context -> m ()
heqCtx a
a a
c Context
ctx; Bool
False -> a -> a -> Context -> PropertyT IO ()
forall (m :: * -> *) a.
(MonadTest m, HasCallStack, Eq a, Show a) =>
a -> a -> Context -> m ()
hneqCtx a
a a
c Context
ctx }
Bool
False -> case a
b a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
c of { Bool
True -> a -> a -> Context -> PropertyT IO ()
forall (m :: * -> *) a.
(MonadTest m, HasCallStack, Eq a, Show a) =>
a -> a -> Context -> m ()
hneqCtx a
a a
c Context
ctx; Bool
False -> PropertyT IO ()
forall (m :: * -> *). MonadTest m => m ()
success }
eqSymmetric :: forall a. (Eq a, Show a) => Gen a -> Property
eqSymmetric :: Gen a -> Property
eqSymmetric Gen a
gen = HasCallStack => PropertyT IO () -> Property
PropertyT IO () -> Property
property (PropertyT IO () -> Property) -> PropertyT IO () -> Property
forall a b. (a -> b) -> a -> b
$ do
a
a <- Gen a -> PropertyT IO a
forall (m :: * -> *) a.
(Monad m, Show a, HasCallStack) =>
Gen a -> PropertyT m a
forAll Gen a
gen
a
b <- Gen a -> PropertyT IO a
forall (m :: * -> *) a.
(Monad m, Show a, HasCallStack) =>
Gen a -> PropertyT m a
forAll Gen a
gen
let lhs :: Bool
lhs = a
a a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
b; rhs :: Bool
rhs = a
b a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
a
let ctx :: Context
ctx = LawContext -> Context
contextualise (LawContext -> Context) -> LawContext -> Context
forall a b. (a -> b) -> a -> b
$ LawContext :: String -> String -> String -> String -> String -> LawContext
LawContext
{ lawContextLawName :: String
lawContextLawName = String
"Symmetry", lawContextLawBody :: String
lawContextLawBody = String
"a == b" String -> String -> String
`congruency` String
"b == a"
, lawContextTcName :: String
lawContextTcName = String
"Eq", lawContextTcProp :: String
lawContextTcProp =
let showA :: String
showA = a -> String
forall a. Show a => a -> String
show a
a; showB :: String
showB = a -> String
forall a. Show a => a -> String
show a
b;
in [String] -> String
lawWhere
[ String
"a == b" String -> String -> String
`congruency` String
"b == a, where"
, String
"a = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
showA
, String
"b = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
showB
]
, lawContextReduced :: String
lawContextReduced = Bool -> Bool -> String
forall a. Show a => a -> a -> String
reduced Bool
lhs Bool
rhs
}
Bool -> Bool -> Context -> PropertyT IO ()
forall (m :: * -> *) a.
(MonadTest m, HasCallStack, Eq a, Show a) =>
a -> a -> Context -> m ()
heqCtx Bool
lhs Bool
rhs Context
ctx
eqReflexive :: forall a. (Eq a, Show a) => Gen a -> Property
eqReflexive :: Gen a -> Property
eqReflexive Gen a
gen = HasCallStack => PropertyT IO () -> Property
PropertyT IO () -> Property
property (PropertyT IO () -> Property) -> PropertyT IO () -> Property
forall a b. (a -> b) -> a -> b
$ do
a
a <- Gen a -> PropertyT IO a
forall (m :: * -> *) a.
(Monad m, Show a, HasCallStack) =>
Gen a -> PropertyT m a
forAll Gen a
gen
let lhs :: a
lhs = a
a
let rhs :: a
rhs = a
a
let ctx :: Context
ctx = LawContext -> Context
contextualise (LawContext -> Context) -> LawContext -> Context
forall a b. (a -> b) -> a -> b
$ LawContext :: String -> String -> String -> String -> String -> LawContext
LawContext
{ lawContextLawName :: String
lawContextLawName = String
"Reflexivity", lawContextLawBody :: String
lawContextLawBody = String
"a" String -> String -> String
`congruency` String
"a"
, lawContextTcName :: String
lawContextTcName = String
"Eq"
, lawContextTcProp :: String
lawContextTcProp = let showA :: String
showA = a -> String
forall a. Show a => a -> String
show a
a in [String] -> String
lawWhere [ String
"a" String -> String -> String
`congruency` String
"a, where", String
"a = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
showA ]
, lawContextReduced :: String
lawContextReduced = a -> a -> String
forall a. Show a => a -> a -> String
reduced a
a a
a
}
a -> a -> Context -> PropertyT IO ()
forall (m :: * -> *) a.
(MonadTest m, HasCallStack, Eq a, Show a) =>
a -> a -> Context -> m ()
heqCtx a
lhs a
rhs Context
ctx
eqNegation :: forall a. (Eq a, Show a) => Gen a -> Property
eqNegation :: Gen a -> Property
eqNegation Gen a
gen = HasCallStack => PropertyT IO () -> Property
PropertyT IO () -> Property
property (PropertyT IO () -> Property) -> PropertyT IO () -> Property
forall a b. (a -> b) -> a -> b
$ do
a
x <- Gen a -> PropertyT IO a
forall (m :: * -> *) a.
(Monad m, Show a, HasCallStack) =>
Gen a -> PropertyT m a
forAll Gen a
gen
a
y <- Gen a -> PropertyT IO a
forall (m :: * -> *) a.
(Monad m, Show a, HasCallStack) =>
Gen a -> PropertyT m a
forAll Gen a
gen
let lhs :: Bool
lhs = a
x a -> a -> Bool
forall a. Eq a => a -> a -> Bool
/= a
y
let rhs :: Bool
rhs = Bool -> Bool
not (a
x a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
y)
let ctx :: Context
ctx = LawContext -> Context
contextualise (LawContext -> Context) -> LawContext -> Context
forall a b. (a -> b) -> a -> b
$ LawContext :: String -> String -> String -> String -> String -> LawContext
LawContext
{ lawContextLawName :: String
lawContextLawName = String
"Negation", lawContextLawBody :: String
lawContextLawBody = String
"x /= y" String -> String -> String
`congruency` String
"not (x == y)"
, lawContextTcName :: String
lawContextTcName = String
"Eq"
, lawContextReduced :: String
lawContextReduced = Bool -> Bool -> String
forall a. Show a => a -> a -> String
reduced Bool
lhs Bool
rhs
, lawContextTcProp :: String
lawContextTcProp =
let showX :: String
showX = a -> String
forall a. Show a => a -> String
show a
x; showY :: String
showY = a -> String
forall a. Show a => a -> String
show a
y;
in [String] -> String
lawWhere
[ String
"x /= y" String -> String -> String
`congruency` String
"not (x == y), where"
, String
"x = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
showX
, String
"y = " String -> String -> String
forall a. [a] -> [a] -> [a]
++ String
showY
]
}
Bool -> Bool -> Context -> PropertyT IO ()
forall (m :: * -> *) a.
(MonadTest m, HasCallStack, Eq a, Show a) =>
a -> a -> Context -> m ()
heqCtx Bool
lhs Bool
rhs Context
ctx