{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE ScopedTypeVariables #-}
module Test.Validity.Functions.Inverse
( inverseFunctionsOnGen,
inverseFunctions,
inverseFunctionsOnArbitrary,
inverseFunctionsIfFirstSucceedsOnGen,
inverseFunctionsIfFirstSucceeds,
inverseFunctionsIfFirstSucceedsOnArbitrary,
inverseFunctionsIfSecondSucceedsOnGen,
inverseFunctionsIfSecondSucceeds,
inverseFunctionsIfSecondSucceedsOnArbitrary,
inverseFunctionsIfSucceedOnGen,
inverseFunctionsIfSucceed,
inverseFunctionsIfSucceedOnArbitrary,
)
where
import Data.GenValidity
import Test.Hspec
import Test.QuickCheck
import Test.Validity.Types
inverseFunctionsOnGen ::
(Show a, Eq a) => (a -> b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsOnGen :: (a -> b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsOnGen a -> b
f b -> a
g Gen a
gen a -> [a]
s =
Gen a -> (a -> [a]) -> (a -> Expectation) -> Property
forall a prop.
(Show a, Testable prop) =>
Gen a -> (a -> [a]) -> (a -> prop) -> Property
forAllShrink Gen a
gen a -> [a]
s ((a -> Expectation) -> Property) -> (a -> Expectation) -> Property
forall a b. (a -> b) -> a -> b
$ \a
a -> b -> a
g (a -> b
f a
a) a -> a -> Expectation
forall a. (HasCallStack, Show a, Eq a) => a -> a -> Expectation
`shouldBe` a
a
inverseFunctions ::
(Show a, Eq a, GenValid a) => (a -> b) -> (b -> a) -> Property
inverseFunctions :: (a -> b) -> (b -> a) -> Property
inverseFunctions a -> b
f b -> a
g = (a -> b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
forall a b.
(Show a, Eq a) =>
(a -> b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsOnGen a -> b
f b -> a
g Gen a
forall a. GenValid a => Gen a
genValid a -> [a]
forall a. GenValid a => a -> [a]
shrinkValid
inverseFunctionsOnArbitrary ::
(Show a, Eq a, Arbitrary a) => (a -> b) -> (b -> a) -> Property
inverseFunctionsOnArbitrary :: (a -> b) -> (b -> a) -> Property
inverseFunctionsOnArbitrary a -> b
f b -> a
g = (a -> b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
forall a b.
(Show a, Eq a) =>
(a -> b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsOnGen a -> b
f b -> a
g Gen a
forall a. Arbitrary a => Gen a
arbitrary a -> [a]
forall a. Arbitrary a => a -> [a]
shrink
inverseFunctionsIfFirstSucceedsOnGen ::
(Show a, Eq a, CanFail f) =>
(a -> f b) ->
(b -> a) ->
Gen a ->
(a -> [a]) ->
Property
inverseFunctionsIfFirstSucceedsOnGen :: (a -> f b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsIfFirstSucceedsOnGen a -> f b
f b -> a
g Gen a
gen a -> [a]
s =
Gen a -> (a -> [a]) -> (a -> Expectation) -> Property
forall a prop.
(Show a, Testable prop) =>
Gen a -> (a -> [a]) -> (a -> prop) -> Property
forAllShrink Gen a
gen a -> [a]
s ((a -> Expectation) -> Property) -> (a -> Expectation) -> Property
forall a b. (a -> b) -> a -> b
$ \a
a ->
case f b -> Maybe b
forall (f :: * -> *) a. CanFail f => f a -> Maybe a
resultIfSucceeded (a -> f b
f a
a) of
Maybe b
Nothing -> () -> Expectation
forall (m :: * -> *) a. Monad m => a -> m a
return ()
Just b
b -> b -> a
g b
b a -> a -> Expectation
forall a. (HasCallStack, Show a, Eq a) => a -> a -> Expectation
`shouldBe` a
a
inverseFunctionsIfFirstSucceeds ::
(Show a, Eq a, GenValid a, CanFail f) =>
(a -> f b) ->
(b -> a) ->
Property
inverseFunctionsIfFirstSucceeds :: (a -> f b) -> (b -> a) -> Property
inverseFunctionsIfFirstSucceeds a -> f b
f b -> a
g =
(a -> f b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
forall a (f :: * -> *) b.
(Show a, Eq a, CanFail f) =>
(a -> f b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsIfFirstSucceedsOnGen a -> f b
f b -> a
g Gen a
forall a. GenValid a => Gen a
genValid a -> [a]
forall a. GenValid a => a -> [a]
shrinkValid
inverseFunctionsIfFirstSucceedsOnArbitrary ::
(Show a, Eq a, Arbitrary a, CanFail f) =>
(a -> f b) ->
(b -> a) ->
Property
inverseFunctionsIfFirstSucceedsOnArbitrary :: (a -> f b) -> (b -> a) -> Property
inverseFunctionsIfFirstSucceedsOnArbitrary a -> f b
f b -> a
g =
(a -> f b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
forall a (f :: * -> *) b.
(Show a, Eq a, CanFail f) =>
(a -> f b) -> (b -> a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsIfFirstSucceedsOnGen a -> f b
f b -> a
g Gen a
forall a. Arbitrary a => Gen a
arbitrary a -> [a]
forall a. Arbitrary a => a -> [a]
shrink
inverseFunctionsIfSecondSucceedsOnGen ::
(Show a, Eq a, CanFail f) =>
(a -> b) ->
(b -> f a) ->
Gen a ->
(a -> [a]) ->
Property
inverseFunctionsIfSecondSucceedsOnGen :: (a -> b) -> (b -> f a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsIfSecondSucceedsOnGen a -> b
f b -> f a
g Gen a
gen a -> [a]
s =
Gen a -> (a -> [a]) -> (a -> Expectation) -> Property
forall a prop.
(Show a, Testable prop) =>
Gen a -> (a -> [a]) -> (a -> prop) -> Property
forAllShrink Gen a
gen a -> [a]
s ((a -> Expectation) -> Property) -> (a -> Expectation) -> Property
forall a b. (a -> b) -> a -> b
$ \a
a ->
case f a -> Maybe a
forall (f :: * -> *) a. CanFail f => f a -> Maybe a
resultIfSucceeded (b -> f a
g (a -> b
f a
a)) of
Maybe a
Nothing -> () -> Expectation
forall (m :: * -> *) a. Monad m => a -> m a
return ()
Just a
r -> a
r a -> a -> Expectation
forall a. (HasCallStack, Show a, Eq a) => a -> a -> Expectation
`shouldBe` a
a
inverseFunctionsIfSecondSucceeds ::
(Show a, Eq a, GenValid a, CanFail f) =>
(a -> b) ->
(b -> f a) ->
Property
inverseFunctionsIfSecondSucceeds :: (a -> b) -> (b -> f a) -> Property
inverseFunctionsIfSecondSucceeds a -> b
f b -> f a
g =
(a -> b) -> (b -> f a) -> Gen a -> (a -> [a]) -> Property
forall a (f :: * -> *) b.
(Show a, Eq a, CanFail f) =>
(a -> b) -> (b -> f a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsIfSecondSucceedsOnGen a -> b
f b -> f a
g Gen a
forall a. GenValid a => Gen a
genValid a -> [a]
forall a. GenValid a => a -> [a]
shrinkValid
inverseFunctionsIfSecondSucceedsOnArbitrary ::
(Show a, Eq a, Arbitrary a, CanFail f) =>
(a -> b) ->
(b -> f a) ->
Property
inverseFunctionsIfSecondSucceedsOnArbitrary :: (a -> b) -> (b -> f a) -> Property
inverseFunctionsIfSecondSucceedsOnArbitrary a -> b
f b -> f a
g =
(a -> b) -> (b -> f a) -> Gen a -> (a -> [a]) -> Property
forall a (f :: * -> *) b.
(Show a, Eq a, CanFail f) =>
(a -> b) -> (b -> f a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsIfSecondSucceedsOnGen a -> b
f b -> f a
g Gen a
forall a. Arbitrary a => Gen a
arbitrary a -> [a]
forall a. Arbitrary a => a -> [a]
shrink
inverseFunctionsIfSucceedOnGen ::
(Show a, Eq a, CanFail f, CanFail g) =>
(a -> f b) ->
(b -> g a) ->
Gen a ->
(a -> [a]) ->
Property
inverseFunctionsIfSucceedOnGen :: (a -> f b) -> (b -> g a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsIfSucceedOnGen a -> f b
f b -> g a
g Gen a
gen a -> [a]
s =
Gen a -> (a -> [a]) -> (a -> Expectation) -> Property
forall a prop.
(Show a, Testable prop) =>
Gen a -> (a -> [a]) -> (a -> prop) -> Property
forAllShrink Gen a
gen a -> [a]
s ((a -> Expectation) -> Property) -> (a -> Expectation) -> Property
forall a b. (a -> b) -> a -> b
$ \a
a ->
case do
b
fa <- f b -> Maybe b
forall (f :: * -> *) a. CanFail f => f a -> Maybe a
resultIfSucceeded (f b -> Maybe b) -> f b -> Maybe b
forall a b. (a -> b) -> a -> b
$ a -> f b
f a
a
g a -> Maybe a
forall (f :: * -> *) a. CanFail f => f a -> Maybe a
resultIfSucceeded (g a -> Maybe a) -> g a -> Maybe a
forall a b. (a -> b) -> a -> b
$ b -> g a
g b
fa of
Maybe a
Nothing -> () -> Expectation
forall (m :: * -> *) a. Monad m => a -> m a
return ()
Just a
r -> a
r a -> a -> Expectation
forall a. (HasCallStack, Show a, Eq a) => a -> a -> Expectation
`shouldBe` a
a
inverseFunctionsIfSucceed ::
(Show a, Eq a, GenValid a, CanFail f, CanFail g) =>
(a -> f b) ->
(b -> g a) ->
Property
inverseFunctionsIfSucceed :: (a -> f b) -> (b -> g a) -> Property
inverseFunctionsIfSucceed a -> f b
f b -> g a
g =
(a -> f b) -> (b -> g a) -> Gen a -> (a -> [a]) -> Property
forall a (f :: * -> *) (g :: * -> *) b.
(Show a, Eq a, CanFail f, CanFail g) =>
(a -> f b) -> (b -> g a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsIfSucceedOnGen a -> f b
f b -> g a
g Gen a
forall a. GenValid a => Gen a
genValid a -> [a]
forall a. GenValid a => a -> [a]
shrinkValid
inverseFunctionsIfSucceedOnArbitrary ::
(Show a, Eq a, Arbitrary a, CanFail f, CanFail g) =>
(a -> f b) ->
(b -> g a) ->
Property
inverseFunctionsIfSucceedOnArbitrary :: (a -> f b) -> (b -> g a) -> Property
inverseFunctionsIfSucceedOnArbitrary a -> f b
f b -> g a
g =
(a -> f b) -> (b -> g a) -> Gen a -> (a -> [a]) -> Property
forall a (f :: * -> *) (g :: * -> *) b.
(Show a, Eq a, CanFail f, CanFail g) =>
(a -> f b) -> (b -> g a) -> Gen a -> (a -> [a]) -> Property
inverseFunctionsIfSucceedOnGen a -> f b
f b -> g a
g Gen a
forall a. Arbitrary a => Gen a
arbitrary a -> [a]
forall a. Arbitrary a => a -> [a]
shrink