{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE ScopedTypeVariables #-}
module Test.Syd.Validity.Relations.Antisymmetry
( antisymmetricOnElemsWithEquality
, antisymmetryOnGensWithEquality
, antisymmetryOnGens
, antisymmetryOnValid
, antisymmetry
, antisymmetryOnArbitrary
) where
import Data.GenValidity
import Test.QuickCheck
import Test.Syd.Validity.Property.Utils
antisymmetricOnElemsWithEquality ::
(a -> a -> Bool)
-> (a -> a -> Bool)
-> a
-> a
-> Bool
antisymmetricOnElemsWithEquality :: (a -> a -> Bool) -> (a -> a -> Bool) -> a -> a -> Bool
antisymmetricOnElemsWithEquality a -> a -> Bool
func a -> a -> Bool
eq a
a a
b =
(a -> a -> Bool
func a
a a
b Bool -> Bool -> Bool
&& a -> a -> Bool
func a
b a
a) Bool -> Bool -> Bool
===> (a
a a -> a -> Bool
`eq` a
b)
antisymmetryOnGensWithEquality ::
Show a
=> (a -> a -> Bool)
-> Gen (a, a)
-> (a -> a -> Bool)
-> (a -> [a])
-> Property
antisymmetryOnGensWithEquality :: (a -> a -> Bool)
-> Gen (a, a) -> (a -> a -> Bool) -> (a -> [a]) -> Property
antisymmetryOnGensWithEquality a -> a -> Bool
func Gen (a, a)
gen a -> a -> Bool
eq 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) -> a -> a -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> a -> a -> Bool
antisymmetricOnElemsWithEquality a -> a -> Bool
func a -> a -> Bool
eq
antisymmetryOnGens ::
(Show a, Eq a)
=> (a -> a -> Bool)
-> Gen (a, a)
-> (a -> [a])
-> Property
antisymmetryOnGens :: (a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
antisymmetryOnGens a -> a -> Bool
func Gen (a, a)
gen = (a -> a -> Bool)
-> Gen (a, a) -> (a -> a -> Bool) -> (a -> [a]) -> Property
forall a.
Show a =>
(a -> a -> Bool)
-> Gen (a, a) -> (a -> a -> Bool) -> (a -> [a]) -> Property
antisymmetryOnGensWithEquality a -> a -> Bool
func Gen (a, a)
gen a -> a -> Bool
forall a. Eq a => a -> a -> Bool
(==)
antisymmetryOnValid ::
(Show a, Eq a, GenValid a) => (a -> a -> Bool) -> Property
antisymmetryOnValid :: (a -> a -> Bool) -> Property
antisymmetryOnValid a -> a -> Bool
func = (a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
forall a.
(Show a, Eq a) =>
(a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
antisymmetryOnGens a -> a -> Bool
func Gen (a, a)
forall a. GenValid a => Gen a
genValid a -> [a]
forall a. GenValid a => a -> [a]
shrinkValid
antisymmetry :: (Show a, Eq a, GenUnchecked a) => (a -> a -> Bool) -> Property
antisymmetry :: (a -> a -> Bool) -> Property
antisymmetry a -> a -> Bool
func = (a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
forall a.
(Show a, Eq a) =>
(a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
antisymmetryOnGens a -> a -> Bool
func Gen (a, a)
forall a. GenUnchecked a => Gen a
genUnchecked a -> [a]
forall a. GenUnchecked a => a -> [a]
shrinkUnchecked
antisymmetryOnArbitrary ::
(Show a, Eq a, Arbitrary a) => (a -> a -> Bool) -> Property
antisymmetryOnArbitrary :: (a -> a -> Bool) -> Property
antisymmetryOnArbitrary a -> a -> Bool
func = (a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
forall a.
(Show a, Eq a) =>
(a -> a -> Bool) -> Gen (a, a) -> (a -> [a]) -> Property
antisymmetryOnGens a -> a -> Bool
func Gen (a, a)
forall a. Arbitrary a => Gen a
arbitrary a -> [a]
forall a. Arbitrary a => a -> [a]
shrink