{-# LANGUAGE AllowAmbiguousTypes #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeApplications #-}
module Test.Validity.Applicative
( applicativeSpec,
applicativeSpecOnArbitrary,
applicativeSpecOnGens,
)
where
import Data.Data
import Data.GenValidity
import Data.Kind
import Test.Hspec
import Test.QuickCheck
import Test.Validity.Functions
import Test.Validity.Utils
{-# ANN module "HLint: ignore Avoid lambda" #-}
pureTypeStr ::
forall (f :: Type -> Type).
(Typeable f) =>
String
pureTypeStr :: String
pureTypeStr = [String] -> String
unwords [String
"pure", String
"::", String
"a", String
"->", Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f, String
"a"]
seqTypeStr ::
forall (f :: Type -> Type).
(Typeable f) =>
String
seqTypeStr :: String
seqTypeStr =
[String] -> String
unwords
[ String
"(<*>)",
String
"::",
Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f,
String
"(a",
String
"->",
String
"b)",
String
"->",
Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f,
String
"a",
String
"->",
Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f,
String
"b"
]
seqrTypeStr ::
forall (f :: Type -> Type).
(Typeable f) =>
String
seqrTypeStr :: String
seqrTypeStr =
[String] -> String
unwords
[ String
"(*>)",
String
"::",
Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f,
String
"a",
String
"->",
Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f,
String
"b",
String
"->",
Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f,
String
"b"
]
seqlTypeStr ::
forall (f :: Type -> Type).
(Typeable f) =>
String
seqlTypeStr :: String
seqlTypeStr =
[String] -> String
unwords
[ String
"(<*)",
String
"::",
Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f,
String
"a",
String
"->",
Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f,
String
"b",
String
"->",
Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f,
String
"a"
]
applicativeSpec ::
forall (f :: Type -> Type).
( Eq (f Int),
Show (f Int),
Applicative f,
Typeable f,
GenValid (f Int)
) =>
Spec
applicativeSpec :: Spec
applicativeSpec = Gen (f Int) -> Spec
forall (f :: * -> *).
(Show (f Int), Eq (f Int), Applicative f, Typeable f) =>
Gen (f Int) -> Spec
applicativeSpecWithInts @f Gen (f Int)
forall a. GenValid a => Gen a
genValid
applicativeSpecOnArbitrary ::
forall (f :: Type -> Type).
(Eq (f Int), Show (f Int), Applicative f, Typeable f, Arbitrary (f Int)) =>
Spec
applicativeSpecOnArbitrary :: Spec
applicativeSpecOnArbitrary = Gen (f Int) -> Spec
forall (f :: * -> *).
(Show (f Int), Eq (f Int), Applicative f, Typeable f) =>
Gen (f Int) -> Spec
applicativeSpecWithInts @f Gen (f Int)
forall a. Arbitrary a => Gen a
arbitrary
applicativeSpecWithInts ::
forall (f :: Type -> Type).
(Show (f Int), Eq (f Int), Applicative f, Typeable f) =>
Gen (f Int) ->
Spec
applicativeSpecWithInts :: Gen (f Int) -> Spec
applicativeSpecWithInts Gen (f Int)
gen =
Gen Int
-> String
-> Gen (f Int)
-> String
-> Gen (f Int)
-> String
-> Gen (Int -> Int)
-> String
-> Gen (f (Int -> Int))
-> String
-> Gen (f (Int -> Int))
-> String
-> Spec
forall (f :: * -> *) a b c.
(Show a, Show (f a), Eq (f a), Show (f b), Eq (f b), Show (f c),
Eq (f c), Applicative f, Typeable f, Typeable a, Typeable b,
Typeable c) =>
Gen a
-> String
-> Gen (f a)
-> String
-> Gen (f b)
-> String
-> Gen (a -> b)
-> String
-> Gen (f (a -> b))
-> String
-> Gen (f (b -> c))
-> String
-> Spec
applicativeSpecOnGens
@f
@Int
Gen Int
forall a. GenValid a => Gen a
genValid
String
"int"
Gen (f Int)
gen
([String] -> String
unwords [Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f, String
"of ints"])
Gen (f Int)
gen
([String] -> String
unwords [Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f, String
"of ints"])
(Int -> Int -> Int
forall a. Num a => a -> a -> a
(+) (Int -> Int -> Int) -> Gen Int -> Gen (Int -> Int)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen Int
forall a. GenValid a => Gen a
genValid)
String
"increments"
((Int -> Int) -> f (Int -> Int)
forall (f :: * -> *) a. Applicative f => a -> f a
pure ((Int -> Int) -> f (Int -> Int))
-> Gen (Int -> Int) -> Gen (f (Int -> Int))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> (Int -> Int -> Int
forall a. Num a => a -> a -> a
(+) (Int -> Int -> Int) -> Gen Int -> Gen (Int -> Int)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen Int
forall a. GenValid a => Gen a
genValid))
([String] -> String
unwords [Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f, String
"of increments"])
((Int -> Int) -> f (Int -> Int)
forall (f :: * -> *) a. Applicative f => a -> f a
pure ((Int -> Int) -> f (Int -> Int))
-> Gen (Int -> Int) -> Gen (f (Int -> Int))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> (Int -> Int -> Int
forall a. Num a => a -> a -> a
(*) (Int -> Int -> Int) -> Gen Int -> Gen (Int -> Int)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen Int
forall a. GenValid a => Gen a
genValid))
([String] -> String
unwords [Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f, String
"of scalings"])
applicativeSpecOnGens ::
forall (f :: Type -> Type) (a :: Type) (b :: Type) (c :: Type).
( Show a,
Show (f a),
Eq (f a),
Show (f b),
Eq (f b),
Show (f c),
Eq (f c),
Applicative f,
Typeable f,
Typeable a,
Typeable b,
Typeable c
) =>
Gen a ->
String ->
Gen (f a) ->
String ->
Gen (f b) ->
String ->
Gen (a -> b) ->
String ->
Gen (f (a -> b)) ->
String ->
Gen (f (b -> c)) ->
String ->
Spec
applicativeSpecOnGens :: Gen a
-> String
-> Gen (f a)
-> String
-> Gen (f b)
-> String
-> Gen (a -> b)
-> String
-> Gen (f (a -> b))
-> String
-> Gen (f (b -> c))
-> String
-> Spec
applicativeSpecOnGens Gen a
gena String
genaname Gen (f a)
gen String
genname Gen (f b)
genb String
genbname Gen (a -> b)
genfa String
genfaname Gen (f (a -> b))
genffa String
genffaname Gen (f (b -> c))
genffb String
genffbname =
Spec -> Spec
forall a. SpecWith a -> SpecWith a
parallel (Spec -> Spec) -> Spec -> Spec
forall a b. (a -> b) -> a -> b
$
String -> Spec -> Spec
forall a. HasCallStack => String -> SpecWith a -> SpecWith a
describe (String
"Applicative " String -> String -> String
forall a. [a] -> [a] -> [a]
++ Typeable f => String
forall k (a :: k). Typeable a => String
nameOf @f) (Spec -> Spec) -> Spec -> Spec
forall a b. (a -> b) -> a -> b
$ do
String -> Spec -> Spec
forall a. HasCallStack => String -> SpecWith a -> SpecWith a
describe ([String] -> String
unwords [Typeable f => String
forall (f :: * -> *). Typeable f => String
pureTypeStr @f, String
"and", Typeable f => String
forall (f :: * -> *). Typeable f => String
seqTypeStr @f]) (Spec -> Spec) -> Spec -> Spec
forall a b. (a -> b) -> a -> b
$ do
String -> Property -> SpecWith (Arg Property)
forall a.
(HasCallStack, Example a) =>
String -> a -> SpecWith (Arg a)
it
( [String] -> String
unwords
[ String
"satisfy the identity law: 'pure id <*> v = v' for",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(f a) String
genname
]
)
(Property -> SpecWith (Arg Property))
-> Property -> SpecWith (Arg Property)
forall a b. (a -> b) -> a -> b
$ (f a -> f a)
-> (f a -> f a) -> Gen (f a) -> (f a -> [f a]) -> Property
forall a b.
(Show a, Show b, Eq b) =>
(a -> b) -> (a -> b) -> Gen a -> (a -> [a]) -> Property
equivalentOnGen ((a -> a) -> f (a -> a)
forall (f :: * -> *) a. Applicative f => a -> f a
pure a -> a
forall a. a -> a
id f (a -> a) -> f a -> f a
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*>) f a -> f a
forall a. a -> a
id Gen (f a)
gen f a -> [f a]
forall a. a -> [a]
shrinkNothing
String -> Property -> SpecWith (Arg Property)
forall a.
(HasCallStack, Example a) =>
String -> a -> SpecWith (Arg a)
it
( [String] -> String
unwords
[ String
"satisfy the composition law: 'pure (.) <*> u <*> v <*> w = u <*> (v <*> w)' for",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(f (b -> c)) String
genffbname,
String
"composed with",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(f (a -> b)) String
genffaname,
String
"and applied to",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(f a) String
genname
]
)
(Property -> SpecWith (Arg Property))
-> Property -> SpecWith (Arg Property)
forall a b. (a -> b) -> a -> b
$ (Anon (f (b -> c)) -> Anon (f (a -> b)) -> f a -> f c)
-> (Anon (f (b -> c)) -> Anon (f (a -> b)) -> f a -> f c)
-> Gen (Anon (f (b -> c)), Anon (f (a -> b)), f a)
-> ((Anon (f (b -> c)), Anon (f (a -> b)), f a)
-> [(Anon (f (b -> c)), Anon (f (a -> b)), f a)])
-> Property
forall a b c d.
(Show a, Show b, Show c, Show d, Eq d) =>
(a -> b -> c -> d)
-> (a -> b -> c -> d)
-> Gen (a, b, c)
-> ((a, b, c) -> [(a, b, c)])
-> Property
equivalentOnGens3
( \(Anon f (b -> c)
u) (Anon f (a -> b)
v) f a
w ->
((b -> c) -> (a -> b) -> a -> c)
-> f ((b -> c) -> (a -> b) -> a -> c)
forall (f :: * -> *) a. Applicative f => a -> f a
pure (b -> c) -> (a -> b) -> a -> c
forall b c a. (b -> c) -> (a -> b) -> a -> c
(.) f ((b -> c) -> (a -> b) -> a -> c)
-> f (b -> c) -> f ((a -> b) -> a -> c)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> (f (b -> c)
u :: f (b -> c)) f ((a -> b) -> a -> c) -> f (a -> b) -> f (a -> c)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> (f (a -> b)
v :: f (a -> b))
f (a -> c) -> f a -> f c
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> (f a
w :: f a) ::
f c
)
(\(Anon f (b -> c)
u) (Anon f (a -> b)
v) f a
w -> f (b -> c)
u f (b -> c) -> f b -> f c
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> (f (a -> b)
v f (a -> b) -> f a -> f b
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> f a
w) :: f c)
((,,) (Anon (f (b -> c))
-> Anon (f (a -> b))
-> f a
-> (Anon (f (b -> c)), Anon (f (a -> b)), f a))
-> Gen (Anon (f (b -> c)))
-> Gen
(Anon (f (a -> b))
-> f a -> (Anon (f (b -> c)), Anon (f (a -> b)), f a))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> (f (b -> c) -> Anon (f (b -> c))
forall a. a -> Anon a
Anon (f (b -> c) -> Anon (f (b -> c)))
-> Gen (f (b -> c)) -> Gen (Anon (f (b -> c)))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen (f (b -> c))
genffb) Gen
(Anon (f (a -> b))
-> f a -> (Anon (f (b -> c)), Anon (f (a -> b)), f a))
-> Gen (Anon (f (a -> b)))
-> Gen (f a -> (Anon (f (b -> c)), Anon (f (a -> b)), f a))
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> (f (a -> b) -> Anon (f (a -> b))
forall a. a -> Anon a
Anon (f (a -> b) -> Anon (f (a -> b)))
-> Gen (f (a -> b)) -> Gen (Anon (f (a -> b)))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen (f (a -> b))
genffa) Gen (f a -> (Anon (f (b -> c)), Anon (f (a -> b)), f a))
-> Gen (f a) -> Gen (Anon (f (b -> c)), Anon (f (a -> b)), f a)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Gen (f a)
gen)
(Anon (f (b -> c)), Anon (f (a -> b)), f a)
-> [(Anon (f (b -> c)), Anon (f (a -> b)), f a)]
forall a. a -> [a]
shrinkNothing
String -> Property -> SpecWith (Arg Property)
forall a.
(HasCallStack, Example a) =>
String -> a -> SpecWith (Arg a)
it
( [String] -> String
unwords
[ String
"satisfy the homomorphism law: 'pure f <*> pure x = pure (f x)' for",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(a -> b) String
genfaname,
String
"sequenced with",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @a String
genaname
]
)
(Property -> SpecWith (Arg Property))
-> Property -> SpecWith (Arg Property)
forall a b. (a -> b) -> a -> b
$ (Anon (a -> b) -> a -> f b)
-> (Anon (a -> b) -> a -> f b)
-> Gen (Anon (a -> b), a)
-> ((Anon (a -> b), a) -> [(Anon (a -> b), a)])
-> Property
forall a b c.
(Show a, Show b, Show c, Eq c) =>
(a -> b -> c)
-> (a -> b -> c) -> Gen (a, b) -> ((a, b) -> [(a, b)]) -> Property
equivalentOnGens2
(\(Anon a -> b
f) a
x -> (a -> b) -> f (a -> b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure a -> b
f f (a -> b) -> f a -> f b
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> a -> f a
forall (f :: * -> *) a. Applicative f => a -> f a
pure a
x :: f b)
(\(Anon a -> b
f) a
x -> b -> f b
forall (f :: * -> *) a. Applicative f => a -> f a
pure (b -> f b) -> b -> f b
forall a b. (a -> b) -> a -> b
$ a -> b
f a
x :: f b)
((,) (Anon (a -> b) -> a -> (Anon (a -> b), a))
-> Gen (Anon (a -> b)) -> Gen (a -> (Anon (a -> b), a))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> ((a -> b) -> Anon (a -> b)
forall a. a -> Anon a
Anon ((a -> b) -> Anon (a -> b)) -> Gen (a -> b) -> Gen (Anon (a -> b))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen (a -> b)
genfa) Gen (a -> (Anon (a -> b), a)) -> Gen a -> Gen (Anon (a -> b), a)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Gen a
gena)
(Anon (a -> b), a) -> [(Anon (a -> b), a)]
forall a. a -> [a]
shrinkNothing
String -> Property -> SpecWith (Arg Property)
forall a.
(HasCallStack, Example a) =>
String -> a -> SpecWith (Arg a)
it
( [String] -> String
unwords
[ String
"satisfy the interchange law: 'u <*> pure y = pure ($ y) <*> u' for",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(f (a -> b)) String
genffaname,
String
"sequenced with",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @a String
genaname
]
)
(Property -> SpecWith (Arg Property))
-> Property -> SpecWith (Arg Property)
forall a b. (a -> b) -> a -> b
$ (Anon (f (a -> b)) -> a -> f b)
-> (Anon (f (a -> b)) -> a -> f b)
-> Gen (Anon (f (a -> b)), a)
-> ((Anon (f (a -> b)), a) -> [(Anon (f (a -> b)), a)])
-> Property
forall a b c.
(Show a, Show b, Show c, Eq c) =>
(a -> b -> c)
-> (a -> b -> c) -> Gen (a, b) -> ((a, b) -> [(a, b)]) -> Property
equivalentOnGens2
(\(Anon f (a -> b)
u) a
y -> f (a -> b)
u f (a -> b) -> f a -> f b
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> a -> f a
forall (f :: * -> *) a. Applicative f => a -> f a
pure a
y :: f b)
(\(Anon f (a -> b)
u) a
y -> ((a -> b) -> b) -> f ((a -> b) -> b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure ((a -> b) -> a -> b
forall a b. (a -> b) -> a -> b
$ a
y) f ((a -> b) -> b) -> f (a -> b) -> f b
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> f (a -> b)
u :: f b)
((,) (Anon (f (a -> b)) -> a -> (Anon (f (a -> b)), a))
-> Gen (Anon (f (a -> b))) -> Gen (a -> (Anon (f (a -> b)), a))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> (f (a -> b) -> Anon (f (a -> b))
forall a. a -> Anon a
Anon (f (a -> b) -> Anon (f (a -> b)))
-> Gen (f (a -> b)) -> Gen (Anon (f (a -> b)))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen (f (a -> b))
genffa) Gen (a -> (Anon (f (a -> b)), a))
-> Gen a -> Gen (Anon (f (a -> b)), a)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Gen a
gena)
(Anon (f (a -> b)), a) -> [(Anon (f (a -> b)), a)]
forall a. a -> [a]
shrinkNothing
String -> Property -> SpecWith (Arg Property)
forall a.
(HasCallStack, Example a) =>
String -> a -> SpecWith (Arg a)
it
( [String] -> String
unwords
[ String
"satisfy the law about the functor instance: fmap f x = pure f <*> x for",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(a -> b) String
genfaname,
String
"mapped over",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(f a) String
genname
]
)
(Property -> SpecWith (Arg Property))
-> Property -> SpecWith (Arg Property)
forall a b. (a -> b) -> a -> b
$ (Anon (a -> b) -> f a -> f b)
-> (Anon (a -> b) -> f a -> f b)
-> Gen (Anon (a -> b), f a)
-> ((Anon (a -> b), f a) -> [(Anon (a -> b), f a)])
-> Property
forall a b c.
(Show a, Show b, Show c, Eq c) =>
(a -> b -> c)
-> (a -> b -> c) -> Gen (a, b) -> ((a, b) -> [(a, b)]) -> Property
equivalentOnGens2
(\(Anon a -> b
f) f a
x -> (a -> b) -> f a -> f b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
f f a
x)
(\(Anon a -> b
f) f a
x -> (a -> b) -> f (a -> b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure a -> b
f f (a -> b) -> f a -> f b
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> f a
x)
((,) (Anon (a -> b) -> f a -> (Anon (a -> b), f a))
-> Gen (Anon (a -> b)) -> Gen (f a -> (Anon (a -> b), f a))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> ((a -> b) -> Anon (a -> b)
forall a. a -> Anon a
Anon ((a -> b) -> Anon (a -> b)) -> Gen (a -> b) -> Gen (Anon (a -> b))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen (a -> b)
genfa) Gen (f a -> (Anon (a -> b), f a))
-> Gen (f a) -> Gen (Anon (a -> b), f a)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Gen (f a)
gen)
(Anon (a -> b), f a) -> [(Anon (a -> b), f a)]
forall a. a -> [a]
shrinkNothing
String -> Spec -> Spec
forall a. HasCallStack => String -> SpecWith a -> SpecWith a
describe (Typeable f => String
forall (f :: * -> *). Typeable f => String
seqrTypeStr @f) (Spec -> Spec) -> Spec -> Spec
forall a b. (a -> b) -> a -> b
$
String -> Property -> SpecWith (Arg Property)
forall a.
(HasCallStack, Example a) =>
String -> a -> SpecWith (Arg a)
it
( [String] -> String
unwords
[ String
"is equivalent to its default implementation 'u Type> v = pure (const id) <*> u <*> v' for",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(f a) String
genname,
String
"in front of",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @b String
genbname
]
)
(Property -> SpecWith (Arg Property))
-> Property -> SpecWith (Arg Property)
forall a b. (a -> b) -> a -> b
$ (f a -> f b -> f b)
-> (f a -> f b -> f b)
-> Gen (f a, f b)
-> ((f a, f b) -> [(f a, f b)])
-> Property
forall a b c.
(Show a, Show b, Show c, Eq c) =>
(a -> b -> c)
-> (a -> b -> c) -> Gen (a, b) -> ((a, b) -> [(a, b)]) -> Property
equivalentOnGens2
(\f a
u f b
v -> f a
u f a -> f b -> f b
forall (f :: * -> *) a b. Applicative f => f a -> f b -> f b
*> f b
v)
(\f a
u f b
v -> (a -> b -> b) -> f (a -> b -> b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure ((b -> b) -> a -> b -> b
forall a b. a -> b -> a
const b -> b
forall a. a -> a
id) f (a -> b -> b) -> f a -> f (b -> b)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> f a
u f (b -> b) -> f b -> f b
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> f b
v)
((,) (f a -> f b -> (f a, f b)) -> Gen (f a) -> Gen (f b -> (f a, f b))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen (f a)
gen Gen (f b -> (f a, f b)) -> Gen (f b) -> Gen (f a, f b)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Gen (f b)
genb)
(f a, f b) -> [(f a, f b)]
forall a. a -> [a]
shrinkNothing
String -> Spec -> Spec
forall a. HasCallStack => String -> SpecWith a -> SpecWith a
describe (Typeable f => String
forall (f :: * -> *). Typeable f => String
seqlTypeStr @f) (Spec -> Spec) -> Spec -> Spec
forall a b. (a -> b) -> a -> b
$
String -> Property -> SpecWith (Arg Property)
forall a.
(HasCallStack, Example a) =>
String -> a -> SpecWith (Arg a)
it
( [String] -> String
unwords
[ String
"is equivalent to its default implementation 'u <* v = pure const <*> u <*> v' for",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @b String
genbname,
String
"behind",
String -> String
forall k (a :: k). Typeable a => String -> String
genDescr @(f a) String
genname
]
)
(Property -> SpecWith (Arg Property))
-> Property -> SpecWith (Arg Property)
forall a b. (a -> b) -> a -> b
$ (f a -> f b -> f a)
-> (f a -> f b -> f a)
-> Gen (f a, f b)
-> ((f a, f b) -> [(f a, f b)])
-> Property
forall a b c.
(Show a, Show b, Show c, Eq c) =>
(a -> b -> c)
-> (a -> b -> c) -> Gen (a, b) -> ((a, b) -> [(a, b)]) -> Property
equivalentOnGens2
(\f a
u f b
v -> f a
u f a -> f b -> f a
forall (f :: * -> *) a b. Applicative f => f a -> f b -> f a
<* f b
v)
(\f a
u f b
v -> (a -> b -> a) -> f (a -> b -> a)
forall (f :: * -> *) a. Applicative f => a -> f a
pure a -> b -> a
forall a b. a -> b -> a
const f (a -> b -> a) -> f a -> f (b -> a)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> f a
u f (b -> a) -> f b -> f a
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> f b
v)
((,) (f a -> f b -> (f a, f b)) -> Gen (f a) -> Gen (f b -> (f a, f b))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Gen (f a)
gen Gen (f b -> (f a, f b)) -> Gen (f b) -> Gen (f a, f b)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Gen (f b)
genb)
(f a, f b) -> [(f a, f b)]
forall a. a -> [a]
shrinkNothing