{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE ScopedTypeVariables #-}
module Test.Syd.Validity.Relations.Symmetry
( symmetricOnElems
, symmetryOnGens
, symmetryOnValid
, symmetry
, symmetryOnArbitrary
) where
import Data.GenValidity
import Test.QuickCheck
import Test.Syd.Validity.Property.Utils
symmetricOnElems ::
(a -> a -> Bool)
-> a
-> a
-> Bool
symmetricOnElems :: (a -> a -> Bool) -> a -> a -> Bool
symmetricOnElems a -> a -> Bool
func a
a a
b = a -> a -> Bool
func a
a a
b Bool -> Bool -> Bool
<==> a -> a -> Bool
func a
b a
a
symmetryOnGens ::
Show a => (a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
symmetryOnGens :: (a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
symmetryOnGens a -> a -> Bool
func Gen (a, a)
gen a -> [a]
s =
Gen (a, a) -> ((a, a) -> [(a, a)]) -> ((a, a) -> Bool) -> Property
forall a prop.
(Show a, Testable prop) =>
Gen a -> (a -> [a]) -> (a -> prop) -> Property
forAllShrink Gen (a, a)
gen ((a -> [a]) -> (a, a) -> [(a, a)]
forall a. (a -> [a]) -> (a, a) -> [(a, a)]
shrinkT2 a -> [a]
s) (((a, a) -> Bool) -> Property) -> ((a, a) -> Bool) -> Property
forall a b. (a -> b) -> a -> b
$ (a -> a -> Bool) -> (a, a) -> Bool
forall a b c. (a -> b -> c) -> (a, b) -> c
uncurry ((a -> a -> Bool) -> (a, a) -> Bool)
-> (a -> a -> Bool) -> (a, a) -> Bool
forall a b. (a -> b) -> a -> b
$ (a -> a -> Bool) -> a -> a -> Bool
forall a. (a -> a -> Bool) -> a -> a -> Bool
symmetricOnElems a -> a -> Bool
func
symmetryOnValid :: (Show a, GenValid a) => (a -> a -> Bool) -> Property
symmetryOnValid :: (a -> a -> Bool) -> Property
symmetryOnValid a -> a -> Bool
func = (a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
forall a.
Show a =>
(a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
symmetryOnGens a -> a -> Bool
func Gen (a, a)
forall a. GenValid a => Gen a
genValid a -> [a]
forall a. GenValid a => a -> [a]
shrinkValid
symmetry :: (Show a, GenUnchecked a) => (a -> a -> Bool) -> Property
symmetry :: (a -> a -> Bool) -> Property
symmetry a -> a -> Bool
func = (a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
forall a.
Show a =>
(a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
symmetryOnGens a -> a -> Bool
func Gen (a, a)
forall a. GenUnchecked a => Gen a
genUnchecked a -> [a]
forall a. GenUnchecked a => a -> [a]
shrinkUnchecked
symmetryOnArbitrary :: (Show a, Arbitrary a) => (a -> a -> Bool) -> Property
symmetryOnArbitrary :: (a -> a -> Bool) -> Property
symmetryOnArbitrary a -> a -> Bool
func = (a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
forall a.
Show a =>
(a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
symmetryOnGens a -> a -> Bool
func Gen (a, a)
forall a. Arbitrary a => Gen a
arbitrary a -> [a]
forall a. Arbitrary a => a -> [a]
shrink