Not

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{-# LANGUAGE NoImplicitPrelude #-}
module Not (
  not, _test_not, main_not
) where

import Testing
import Booleans

not :: (Boolean b) => b -> b
not p = ifThenElse p false true

_test_not_true :: (Boolean b, Equal b)
  => b -> Test Bool
_test_not_true p =
  testName "not(true) == false" $
  eq (not (true `withTypeOf` p)) false


_test_not_false :: (Boolean b, Equal b)
  => b -> Test Bool
_test_not_false p =
  testName "not(false) == true" $
  eq (not (false `withTypeOf` p)) true

_test_not_involutive :: (Boolean b, Equal b)
  => b -> Test (b -> Bool)
_test_not_involutive _ =
  testName "not(not(p)) == p" $
  \p -> eq (not (not p)) p

_test_if_not :: (Equal a) => a -> Test (Bool -> a -> a -> Bool)
_test_if_not _ =
  testName "if(not(p),a,b) == if(p,b,a)" $
  \p a b -> eq (ifThenElse (not p) a b) (ifThenElse p b a)

_test_not ::
  ( Equal a, Show a, Arbitrary a, CoArbitrary a, TypeName a
  , Equal b, Show b, Arbitrary b, CoArbitrary b, TypeName b, Boolean b
  ) => Int -> Int -> b -> a -> IO ()

_test_not size cases p x = do
  testLabel2 "Bool" p x

  let args = testArgs size cases
 
  runTest args (_test_not_true p)
  runTest args (_test_not_false p)
  runTest args (_test_not_involutive p)
  runTest args (_test_if_not x)

main_not :: IO ()
main_not = do
  _test_not 20 100 (true :: Bool) ()
  _test_not 20 100 (true :: Bool) (true :: Bool)