{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE ScopedTypeVariables #-}
module Test.Syd.Validity.Functions.Inverse
( inverseFunctionsOnGen
, inverseFunctionsOnValid
, inverseFunctions
, inverseFunctionsOnArbitrary
, inverseFunctionsIfFirstSucceedsOnGen
, inverseFunctionsIfFirstSucceedsOnValid
, inverseFunctionsIfFirstSucceeds
, inverseFunctionsIfFirstSucceedsOnArbitrary
, inverseFunctionsIfSecondSucceedsOnGen
, inverseFunctionsIfSecondSucceedsOnValid
, inverseFunctionsIfSecondSucceeds
, inverseFunctionsIfSecondSucceedsOnArbitrary
, inverseFunctionsIfSucceedOnGen
, inverseFunctionsIfSucceedOnValid
, inverseFunctionsIfSucceed
, inverseFunctionsIfSucceedOnArbitrary
) where
import Data.GenValidity
import Test.Syd
import Test.QuickCheck
import Test.Syd.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 -> IO ()) -> Property
forall a prop.
(Show a, Testable prop) =>
Gen a -> (a -> [a]) -> (a -> prop) -> Property
forAllShrink Gen a
gen a -> [a]
s ((a -> IO ()) -> Property) -> (a -> IO ()) -> Property
forall a b. (a -> b) -> a -> b
$ \a
a -> b -> a
g (a -> b
f a
a) a -> a -> IO ()
forall a. (HasCallStack, Show a, Eq a) => a -> a -> IO ()
`shouldBe` a
a
inverseFunctionsOnValid ::
(Show a, Eq a, GenValid a) => (a -> b) -> (b -> a) -> Property
inverseFunctionsOnValid :: (a -> b) -> (b -> a) -> Property
inverseFunctionsOnValid 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
inverseFunctions ::
(Show a, Eq a, GenUnchecked 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. GenUnchecked a => Gen a
genUnchecked a -> [a]
forall a. GenUnchecked a => a -> [a]
shrinkUnchecked
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 -> IO ()) -> Property
forall a prop.
(Show a, Testable prop) =>
Gen a -> (a -> [a]) -> (a -> prop) -> Property
forAllShrink Gen a
gen a -> [a]
s ((a -> IO ()) -> Property) -> (a -> IO ()) -> 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 -> () -> IO ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()
Just b
b -> b -> a
g b
b a -> a -> IO ()
forall a. (HasCallStack, Show a, Eq a) => a -> a -> IO ()
`shouldBe` a
a
inverseFunctionsIfFirstSucceedsOnValid ::
(Show a, Eq a, GenValid a, CanFail f)
=> (a -> f b)
-> (b -> a)
-> Property
inverseFunctionsIfFirstSucceedsOnValid :: (a -> f b) -> (b -> a) -> Property
inverseFunctionsIfFirstSucceedsOnValid 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
inverseFunctionsIfFirstSucceeds ::
(Show a, Eq a, GenUnchecked 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. GenUnchecked a => Gen a
genUnchecked a -> [a]
forall a. GenUnchecked a => a -> [a]
shrinkUnchecked
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 -> IO ()) -> Property
forall a prop.
(Show a, Testable prop) =>
Gen a -> (a -> [a]) -> (a -> prop) -> Property
forAllShrink Gen a
gen a -> [a]
s ((a -> IO ()) -> Property) -> (a -> IO ()) -> 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 -> () -> IO ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()
Just a
r -> a
r a -> a -> IO ()
forall a. (HasCallStack, Show a, Eq a) => a -> a -> IO ()
`shouldBe` a
a
inverseFunctionsIfSecondSucceedsOnValid ::
(Show a, Eq a, GenValid a, CanFail f)
=> (a -> b)
-> (b -> f a)
-> Property
inverseFunctionsIfSecondSucceedsOnValid :: (a -> b) -> (b -> f a) -> Property
inverseFunctionsIfSecondSucceedsOnValid 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
inverseFunctionsIfSecondSucceeds ::
(Show a, Eq a, GenUnchecked 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. GenUnchecked a => Gen a
genUnchecked a -> [a]
forall a. GenUnchecked a => a -> [a]
shrinkUnchecked
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 -> IO ()) -> Property
forall a prop.
(Show a, Testable prop) =>
Gen a -> (a -> [a]) -> (a -> prop) -> Property
forAllShrink Gen a
gen a -> [a]
s ((a -> IO ()) -> Property) -> (a -> IO ()) -> 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 -> () -> IO ()
forall (m :: * -> *) a. Monad m => a -> m a
return ()
Just a
r -> a
r a -> a -> IO ()
forall a. (HasCallStack, Show a, Eq a) => a -> a -> IO ()
`shouldBe` a
a
inverseFunctionsIfSucceedOnValid ::
(Show a, Eq a, GenValid a, CanFail f, CanFail g)
=> (a -> f b)
-> (b -> g a)
-> Property
inverseFunctionsIfSucceedOnValid :: (a -> f b) -> (b -> g a) -> Property
inverseFunctionsIfSucceedOnValid 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
inverseFunctionsIfSucceed ::
(Show a, Eq a, GenUnchecked 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. GenUnchecked a => Gen a
genUnchecked a -> [a]
forall a. GenUnchecked a => a -> [a]
shrinkUnchecked
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