-- Hoogle documentation, generated by Haddock
-- See Hoogle, http://www.haskell.org/hoogle/

-- | Automatic testing of Haskell programs
--   
--   QuickCheck is a library for random testing of program properties. The
--   programmer provides a specification of the program, in the form of
--   properties which functions should satisfy, and QuickCheck then tests
--   that the properties hold in a large number of randomly generated
--   cases. Specifications are expressed in Haskell, using combinators
--   provided by QuickCheck. QuickCheck provides combinators to define
--   properties, observe the distribution of test data, and define test
--   data generators.
--   
--   Most of QuickCheck's functionality is exported by the main
--   Test.QuickCheck module. The main exception is the monadic
--   property testing library in Test.QuickCheck.Monadic.
--   
--   If you are new to QuickCheck, you can try looking at the following
--   resources:
--   
--   
--   
- The official QuickCheck manual. It's a bit out-of-date in
--   some details and doesn't cover newer QuickCheck features, but is still
--   full of good advice.
--   
--   
- https://begriffs.com/posts/2017-01-14-design-use-quickcheck.html,
--   a detailed tutorial written by a user of QuickCheck.
--   
--   
--   The quickcheck-instances companion package provides instances
--   for types in Haskell Platform packages at the cost of additional
--   dependencies.
@package QuickCheck
@version 2.15.0.1

-- | Test case generation.
--   
--   Note: the contents of this module (except for the definition of
--   Gen) are re-exported by Test.QuickCheck. You probably do
--   not need to import it directly.
module Test.QuickCheck.Gen

-- | A generator for values of type a.
--   
--   The third-party packages QuickCheck-GenT and
--   quickcheck-transformer provide monad transformer versions of
--   Gen.
newtype Gen a
MkGen :: (QCGen -> Int -> a) -> Gen a

-- | Run the generator on a particular seed and size. If you just want to
--   get a random value out, consider using generate.
[unGen] :: Gen a -> QCGen -> Int -> a

-- | Modifies a generator using an integer seed.
variant :: Integral n => n -> Gen a -> Gen a

-- | Used to construct generators that depend on the size parameter.
--   
--   For example, listOf, which uses the size parameter as an upper
--   bound on length of lists it generates, can be defined like this:
--   
--   
--   listOf :: Gen a -> Gen [a]
--   listOf gen = sized $ \n ->
--     do k <- choose (0,n)
--        vectorOf k gen
--   
--   
--   You can also do this using getSize.
sized :: (Int -> Gen a) -> Gen a

-- | Returns the size parameter. Used to construct generators that depend
--   on the size parameter.
--   
--   For example, listOf, which uses the size parameter as an upper
--   bound on length of lists it generates, can be defined like this:
--   
--   
--   listOf :: Gen a -> Gen [a]
--   listOf gen = do
--     n <- getSize
--     k <- choose (0,n)
--     vectorOf k gen
--   
--   
--   You can also do this using sized.
getSize :: Gen Int

-- | Overrides the size parameter. Returns a generator which uses the given
--   size instead of the runtime-size parameter.
resize :: HasCallStack => Int -> Gen a -> Gen a

-- | Adjust the size parameter, by transforming it with the given function.
scale :: (Int -> Int) -> Gen a -> Gen a

-- | Generates a random element in the given inclusive range. For integral
--   and enumerated types, the specialised variants of choose below
--   run much quicker.
choose :: Random a => (a, a) -> Gen a

-- | Generates a random element over the natural range of a.
chooseAny :: Random a => Gen a

-- | A fast implementation of choose for enumerated types.
chooseEnum :: Enum a => (a, a) -> Gen a

-- | A fast implementation of choose for Int.
chooseInt :: (Int, Int) -> Gen Int

-- | A fast implementation of choose for bounded integral types.
chooseBoundedIntegral :: (Bounded a, Integral a) => (a, a) -> Gen a

-- | A fast implementation of choose for Integer.
chooseInteger :: (Integer, Integer) -> Gen Integer
chooseWord64 :: (Word64, Word64) -> Gen Word64
chooseInt64 :: (Int64, Int64) -> Gen Int64
chooseUpTo :: Word64 -> Gen Word64

-- | Run a generator. The size passed to the generator is always 30; if you
--   want another size then you should explicitly use resize.
generate :: Gen a -> IO a

-- | Generates some example values.
sample' :: Gen a -> IO [a]

-- | Generates some example values and prints them to stdout.
sample :: Show a => Gen a -> IO ()

-- | Generate Double in 0..1 range
genDouble :: Gen Double

-- | Generate Float in 0..1 range
genFloat :: Gen Float

-- | Generates a value that satisfies a predicate.
suchThat :: Gen a -> (a -> Bool) -> Gen a

-- | Generates a value for which the given function returns a Just,
--   and then applies the function.
suchThatMap :: Gen a -> (a -> Maybe b) -> Gen b

-- | Tries to generate a value that satisfies a predicate. If it fails to
--   do so after enough attempts, returns Nothing.
suchThatMaybe :: Gen a -> (a -> Bool) -> Gen (Maybe a)

-- | Randomly uses one of the given generators. The input list must be
--   non-empty.
oneof :: HasCallStack => [Gen a] -> Gen a

-- | Chooses one of the given generators, with a weighted random
--   distribution. The input list must be non-empty.
frequency :: HasCallStack => [(Int, Gen a)] -> Gen a

-- | Generates one of the given values. The input list must be non-empty.
elements :: HasCallStack => [a] -> Gen a

-- | Generates a random subsequence of the given list.
sublistOf :: [a] -> Gen [a]

-- | Generates a random permutation of the given list.
shuffle :: [a] -> Gen [a]

-- | Takes a list of elements of increasing size, and chooses among an
--   initial segment of the list. The size of this initial segment
--   increases with the size parameter. The input list must be non-empty.
growingElements :: HasCallStack => [a] -> Gen a

-- | Generates a list of random length. The maximum length depends on the
--   size parameter.
listOf :: Gen a -> Gen [a]

-- | Generates a non-empty list of random length. The maximum length
--   depends on the size parameter.
listOf1 :: Gen a -> Gen [a]

-- | Generates a list of the given length.
vectorOf :: Int -> Gen a -> Gen [a]

-- | Generates an infinite list.
infiniteListOf :: Gen a -> Gen [a]
instance GHC.Internal.Base.Applicative Test.QuickCheck.Gen.Gen
instance GHC.Internal.Base.Functor Test.QuickCheck.Gen.Gen
instance GHC.Internal.Control.Monad.Fix.MonadFix Test.QuickCheck.Gen.Gen
instance GHC.Internal.Base.Monad Test.QuickCheck.Gen.Gen

-- | Unsafe combinators for the Gen monad.
--   
--   Gen is only morally a monad: two generators that are supposed
--   to be equal will give the same probability distribution, but they
--   might be different as functions from random number seeds to values.
--   QuickCheck maintains the illusion that a Gen is a probability
--   distribution and does not allow you to distinguish two generators that
--   have the same distribution.
--   
--   The functions in this module allow you to break this illusion by
--   reusing the same random number seed twice. This is unsafe because by
--   applying the same seed to two morally equal generators, you can see
--   whether they are really equal or not.
module Test.QuickCheck.Gen.Unsafe

-- | Promotes a monadic generator to a generator of monadic values.
promote :: Monad m => m (Gen a) -> Gen (m a)

-- | Randomly generates a function of type Gen a -> a,
--   which you can then use to evaluate generators. Mostly useful in
--   implementing promote.
delay :: Gen (Gen a -> a)

-- | A variant of delay that returns a polymorphic evaluation
--   function. Can be used in a pinch to generate polymorphic (rank-2)
--   values:
--   
--   
--   genSelector :: Gen (a -> a -> a)
--   genSelector = elements [\x y -> x, \x y -> y]
--   
--   data Selector = Selector (forall a. a -> a -> a)
--   genPolySelector :: Gen Selector
--   genPolySelector = do
--     Capture eval <- capture
--     return (Selector (eval genSelector))
--   
capture :: Gen Capture
newtype Capture
Capture :: (forall a. () => Gen a -> a) -> Capture

-- | Type classes for random generation of values.
--   
--   Note: the contents of this module are re-exported by
--   Test.QuickCheck. You do not need to import it directly.
module Test.QuickCheck.Arbitrary

-- | Random generation and shrinking of values.
--   
--   QuickCheck provides Arbitrary instances for most types in
--   base, except those which incur extra dependencies. For a
--   wider range of Arbitrary instances see the
--   quickcheck-instances package.
class Arbitrary a

-- | A generator for values of the given type.
--   
--   It is worth spending time thinking about what sort of test data you
--   want - good generators are often the difference between finding bugs
--   and not finding them. You can use sample, label and
--   classify to check the quality of your test data.
--   
--   There is no generic arbitrary implementation included because
--   we don't know how to make a high-quality one. If you want one,
--   consider using the testing-feat or generic-random
--   packages.
--   
--   The QuickCheck manual goes into detail on how to write good
--   generators. Make sure to look at it, especially if your type is
--   recursive!
arbitrary :: Arbitrary a => Gen a

-- | Produces a (possibly) empty list of all the possible immediate shrinks
--   of the given value.
--   
--   The default implementation returns the empty list, so will not try to
--   shrink the value. If your data type has no special invariants, you can
--   enable shrinking by defining shrink = genericShrink,
--   but by customising the behaviour of shrink you can often get
--   simpler counterexamples.
--   
--   Most implementations of shrink should try at least three
--   things:
--   
--   
--   
- Shrink a term to any of its immediate subterms. You can use
--   subterms to do this.
--   
- Recursively apply shrink to all immediate subterms. You can
--   use recursivelyShrink to do this.
--   
- Type-specific shrinkings such as replacing a constructor by a
--   simpler constructor.
--   
--   
--   For example, suppose we have the following implementation of binary
--   trees:
--   
--   
--   data Tree a = Nil | Branch a (Tree a) (Tree a)
--   
--   
--   We can then define shrink as follows:
--   
--   
--   shrink Nil = []
--   shrink (Branch x l r) =
--     -- shrink Branch to Nil
--     [Nil] ++
--     -- shrink to subterms
--     [l, r] ++
--     -- recursively shrink subterms
--     [Branch x' l' r' | (x', l', r') <- shrink (x, l, r)]
--   
--   
--   There are a couple of subtleties here:
--   
--   
--   
- QuickCheck tries the shrinking candidates in the order they appear
--   in the list, so we put more aggressive shrinking steps (such as
--   replacing the whole tree by Nil) before smaller ones (such as
--   recursively shrinking the subtrees).
--   
- It is tempting to write the last line as [Branch x' l' r' | x'
--   <- shrink x, l' <- shrink l, r' <- shrink r] but this is
--   the wrong thing! It will force QuickCheck to shrink x,
--   l and r in tandem, and shrinking will stop once
--   one of the three is fully shrunk.
--   
--   
--   There is a fair bit of boilerplate in the code above. We can avoid it
--   with the help of some generic functions. The function
--   genericShrink tries shrinking a term to all of its subterms
--   and, failing that, recursively shrinks the subterms. Using it, we can
--   define shrink as:
--   
--   
--   shrink x = shrinkToNil x ++ genericShrink x
--     where
--       shrinkToNil Nil = []
--       shrinkToNil (Branch _ l r) = [Nil]
--   
--   
--   genericShrink is a combination of subterms, which
--   shrinks a term to any of its subterms, and recursivelyShrink,
--   which shrinks all subterms of a term. These may be useful if you need
--   a bit more control over shrinking than genericShrink gives you.
--   
--   A final gotcha: we cannot define shrink as simply
--   shrink x = Nil:genericShrink x as this shrinks
--   Nil to Nil, and shrinking will go into an infinite
--   loop.
--   
--   If all this leaves you bewildered, you might try shrink =
--   genericShrink to begin with, after deriving
--   Generic for your type. However, if your data type has any
--   special invariants, you will need to check that genericShrink
--   can't break those invariants.
shrink :: Arbitrary a => a -> [a]

-- | Used for random generation of functions. You should consider using
--   Fun instead, which can show the generated functions as strings.
--   
--   If you are using a recent GHC, there is a default definition of
--   coarbitrary using genericCoarbitrary, so if your type
--   has a Generic instance it's enough to say
--   
--   
--   instance CoArbitrary MyType
--   
--   
--   You should only use genericCoarbitrary for data types where
--   equality is structural, i.e. if you can't have two different
--   representations of the same value. An example where it's not safe is
--   sets implemented using binary search trees: the same set can be
--   represented as several different trees. Here you would have to
--   explicitly define coarbitrary s = coarbitrary (toList s).
class CoArbitrary a

-- | Used to generate a function of type a -> b. The first
--   argument is a value, the second a generator. You should use
--   variant to perturb the random generator; the goal is that
--   different values for the first argument will lead to different calls
--   to variant. An example will help:
--   
--   
--   instance CoArbitrary a => CoArbitrary [a] where
--     coarbitrary []     = variant 0
--     coarbitrary (x:xs) = variant 1 . coarbitrary (x,xs)
--   
coarbitrary :: CoArbitrary a => a -> Gen b -> Gen b
($dmcoarbitrary) :: (CoArbitrary a, Generic a, GCoArbitrary (Rep a)) => a -> Gen b -> Gen b

-- | Lifting of the Arbitrary class to unary type constructors.
class Arbitrary1 (f :: Type -> Type)
liftArbitrary :: Arbitrary1 f => Gen a -> Gen (f a)
liftShrink :: Arbitrary1 f => (a -> [a]) -> f a -> [f a]
arbitrary1 :: (Arbitrary1 f, Arbitrary a) => Gen (f a)
shrink1 :: (Arbitrary1 f, Arbitrary a) => f a -> [f a]

-- | Lifting of the Arbitrary class to binary type constructors.
class Arbitrary2 (f :: Type -> Type -> Type)
liftArbitrary2 :: Arbitrary2 f => Gen a -> Gen b -> Gen (f a b)
liftShrink2 :: Arbitrary2 f => (a -> [a]) -> (b -> [b]) -> f a b -> [f a b]
arbitrary2 :: (Arbitrary2 f, Arbitrary a, Arbitrary b) => Gen (f a b)
shrink2 :: (Arbitrary2 f, Arbitrary a, Arbitrary b) => f a b -> [f a b]

-- | Apply a binary function to random arguments.
applyArbitrary2 :: (Arbitrary a, Arbitrary b) => (a -> b -> r) -> Gen r

-- | Apply a ternary function to random arguments.
applyArbitrary3 :: (Arbitrary a, Arbitrary b, Arbitrary c) => (a -> b -> c -> r) -> Gen r

-- | Apply a function of arity 4 to random arguments.
applyArbitrary4 :: (Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d) => (a -> b -> c -> d -> r) -> Gen r

-- | Generates an integral number. The number can be positive or negative
--   and its maximum absolute value depends on the size parameter.
arbitrarySizedIntegral :: Integral a => Gen a

-- | Generates a natural number. The number's maximum value depends on the
--   size parameter.
arbitrarySizedNatural :: Integral a => Gen a

-- | Generates an integral number. The number is chosen uniformly from the
--   entire range of the type. You may want to use
--   arbitrarySizedBoundedIntegral instead.
arbitraryBoundedIntegral :: (Bounded a, Integral a) => Gen a

-- | Generates an integral number from a bounded domain. The number is
--   chosen from the entire range of the type, but small numbers are
--   generated more often than big numbers. Inspired by demands from Phil
--   Wadler.
arbitrarySizedBoundedIntegral :: (Bounded a, Integral a) => Gen a

-- | Uniformly generates a fractional number. The number can be positive or
--   negative and its maximum absolute value depends on the size parameter.
arbitrarySizedFractional :: Fractional a => Gen a

-- | Generates an element of a bounded type. The element is chosen from the
--   entire range of the type.
arbitraryBoundedRandom :: (Bounded a, Random a) => Gen a

-- | Generates an element of a bounded enumeration.
arbitraryBoundedEnum :: (Bounded a, Enum a) => Gen a

-- | Generates any Unicode character (but not a surrogate)
arbitraryUnicodeChar :: Gen Char

-- | Generates a random ASCII character (0-127).
arbitraryASCIIChar :: Gen Char

-- | Generates a printable Unicode character.
arbitraryPrintableChar :: Gen Char
class RecursivelyShrink (f :: k -> Type)
class GSubterms (f :: Type -> Type) a

-- | Shrink a term to any of its immediate subterms, and also recursively
--   shrink all subterms.
genericShrink :: (Generic a, RecursivelyShrink (Rep a), GSubterms (Rep a) a) => a -> [a]

-- | All immediate subterms of a term.
subterms :: (Generic a, GSubterms (Rep a) a) => a -> [a]

-- | Recursively shrink all immediate subterms.
recursivelyShrink :: (Generic a, RecursivelyShrink (Rep a)) => a -> [a]

-- | Generic CoArbitrary implementation.
genericCoarbitrary :: (Generic a, GCoArbitrary (Rep a)) => a -> Gen b -> Gen b

-- | Returns no shrinking alternatives.
shrinkNothing :: a -> [a]

-- | Shrink a list of values given a shrinking function for individual
--   values.
shrinkList :: (a -> [a]) -> [a] -> [[a]]

-- | Map a shrink function to another domain. This is handy if your data
--   type has special invariants, but is almost isomorphic to some
--   other type.
--   
--   
--   shrinkOrderedList :: (Ord a, Arbitrary a) => [a] -> [[a]]
--   shrinkOrderedList = shrinkMap sort id
--   
--   shrinkSet :: (Ord a, Arbitrary a) => Set a -> [Set a]
--   shrinkSet = shrinkMap fromList toList
--   
shrinkMap :: Arbitrary a => (a -> b) -> (b -> a) -> b -> [b]

-- | Non-overloaded version of shrinkMap.
shrinkMapBy :: (a -> b) -> (b -> a) -> (a -> [a]) -> b -> [b]

-- | Shrink an integral number.
shrinkIntegral :: Integral a => a -> [a]

-- | Shrink a fraction, preferring numbers with smaller numerators or
--   denominators. See also shrinkDecimal.
shrinkRealFrac :: RealFrac a => a -> [a]

-- | Shrink an element of a bounded enumeration.
--   
--   
Example
--   
--   
--   data MyEnum = E0 | E1 | E2 | E3 | E4 | E5 | E6 | E7 | E8 | E9
--      deriving (Bounded, Enum, Eq, Ord, Show)
--   
--   
--   
--   >>> shrinkBoundedEnum E9
--   [E0,E5,E7,E8]
--   
--   
--   
--   >>> shrinkBoundedEnum E5
--   [E0,E3,E4]
--   
--   
--   
--   >>> shrinkBoundedEnum E0
--   []
--   
shrinkBoundedEnum :: (Bounded a, Enum a, Eq a) => a -> [a]

-- | Shrink a real number, preferring numbers with shorter decimal
--   representations. See also shrinkRealFrac.
shrinkDecimal :: RealFrac a => a -> [a]

-- | A coarbitrary implementation for integral numbers.
coarbitraryIntegral :: Integral a => a -> Gen b -> Gen b

-- | A coarbitrary implementation for real numbers.
coarbitraryReal :: Real a => a -> Gen b -> Gen b

-- | coarbitrary helper for lazy people :-).
coarbitraryShow :: Show a => a -> Gen b -> Gen b

-- | A coarbitrary implementation for enums.
coarbitraryEnum :: Enum a => a -> Gen b -> Gen b

-- | Combine two generator perturbing functions, for example the results of
--   calls to variant or coarbitrary.

-- | Deprecated: Use ordinary function composition instead
(><) :: (Gen a -> Gen a) -> (Gen a -> Gen a) -> Gen a -> Gen a

-- | Generates a list of a given length.
vector :: Arbitrary a => Int -> Gen [a]

-- | Generates an ordered list.
orderedList :: (Ord a, Arbitrary a) => Gen [a]

-- | Generates an infinite list.
infiniteList :: Arbitrary a => Gen [a]
instance (Test.QuickCheck.Arbitrary.Arbitrary1 f, Test.QuickCheck.Arbitrary.Arbitrary1 g) => Test.QuickCheck.Arbitrary.Arbitrary1 (Data.Functor.Compose.Compose f g)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary1 (GHC.Internal.Data.Functor.Const.Const a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary1 (Data.Functor.Constant.Constant a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary1 (GHC.Internal.Data.Either.Either a)
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.Arbitrary1 ((->) a)
instance Test.QuickCheck.Arbitrary.Arbitrary1 GHC.Internal.Data.Functor.Identity.Identity
instance Test.QuickCheck.Arbitrary.Arbitrary1 Data.IntMap.Internal.IntMap
instance Test.QuickCheck.Arbitrary.Arbitrary1 []
instance (GHC.Classes.Ord k, Test.QuickCheck.Arbitrary.Arbitrary k) => Test.QuickCheck.Arbitrary.Arbitrary1 (Data.Map.Internal.Map k)
instance Test.QuickCheck.Arbitrary.Arbitrary1 GHC.Internal.Maybe.Maybe
instance (Test.QuickCheck.Arbitrary.Arbitrary1 f, Test.QuickCheck.Arbitrary.Arbitrary1 g) => Test.QuickCheck.Arbitrary.Arbitrary1 (Data.Functor.Product.Product f g)
instance Test.QuickCheck.Arbitrary.Arbitrary1 Data.Sequence.Internal.Seq
instance Test.QuickCheck.Arbitrary.Arbitrary1 Data.Tree.Tree
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary1 ((,) a)
instance Test.QuickCheck.Arbitrary.Arbitrary1 GHC.Internal.Functor.ZipList.ZipList
instance Test.QuickCheck.Arbitrary.Arbitrary2 GHC.Internal.Data.Functor.Const.Const
instance Test.QuickCheck.Arbitrary.Arbitrary2 Data.Functor.Constant.Constant
instance Test.QuickCheck.Arbitrary.Arbitrary2 GHC.Internal.Data.Either.Either
instance Test.QuickCheck.Arbitrary.Arbitrary2 (,)
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Data.Semigroup.Internal.All
instance forall k (f :: k -> *) (a :: k). Test.QuickCheck.Arbitrary.Arbitrary (f a) => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Semigroup.Internal.Alt f a)
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Data.Semigroup.Internal.Any
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Types.Bool
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CChar
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CClock
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CDouble
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CFloat
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CInt
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CIntMax
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CIntPtr
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CLLong
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CLong
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CPtrdiff
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CSChar
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CSUSeconds
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CShort
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CSigAtomic
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CSize
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CTime
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CUChar
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CUInt
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CUIntMax
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CUIntPtr
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CULLong
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CULong
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CUSeconds
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CUShort
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Foreign.C.Types.CWchar
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Types.Char
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Data.Complex.Complex a)
instance (Test.QuickCheck.Arbitrary.Arbitrary1 f, Test.QuickCheck.Arbitrary.Arbitrary1 g, Test.QuickCheck.Arbitrary.Arbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (Data.Functor.Compose.Compose f g a)
instance forall k a (b :: k). Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Functor.Const.Const a b)
instance forall k a (b :: k). Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Data.Functor.Constant.Constant a b)
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Types.Double
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Semigroup.Internal.Dual a)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b) => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Either.Either a b)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.CoArbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Semigroup.Internal.Endo a)
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.IO.Exception.ExitCode
instance (Test.QuickCheck.Arbitrary.CoArbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b) => Test.QuickCheck.Arbitrary.Arbitrary (a -> b)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Monoid.First a)
instance forall k (a :: k). Data.Fixed.HasResolution a => Test.QuickCheck.Arbitrary.Arbitrary (Data.Fixed.Fixed a)
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Types.Float
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Functor.Identity.Identity a)
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Types.Int
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Int.Int16
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Int.Int32
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Int.Int64
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Int.Int8
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Data.IntMap.Internal.IntMap a)
instance Test.QuickCheck.Arbitrary.Arbitrary Data.IntSet.Internal.IntSet
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Num.Integer.Integer
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Monoid.Last a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary [a]
instance (GHC.Classes.Ord k, Test.QuickCheck.Arbitrary.Arbitrary k, Test.QuickCheck.Arbitrary.Arbitrary v) => Test.QuickCheck.Arbitrary.Arbitrary (Data.Map.Internal.Map k v)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Maybe.Maybe a)
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.IO.Handle.Types.Newline
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.IO.Handle.Types.NewlineMode
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Types.Ordering
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Semigroup.Internal.Product a)
instance (Test.QuickCheck.Arbitrary.Arbitrary1 f, Test.QuickCheck.Arbitrary.Arbitrary1 g, Test.QuickCheck.Arbitrary.Arbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (Data.Functor.Product.Product f g a)
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Random.QCGen
instance GHC.Internal.Real.Integral a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Real.Ratio a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Data.Sequence.Internal.Seq a)
instance (GHC.Classes.Ord a, Test.QuickCheck.Arbitrary.Arbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (Data.Set.Internal.Set a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Data.Semigroup.Internal.Sum a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Data.Tree.Tree a)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b, Test.QuickCheck.Arbitrary.Arbitrary c, Test.QuickCheck.Arbitrary.Arbitrary d, Test.QuickCheck.Arbitrary.Arbitrary e, Test.QuickCheck.Arbitrary.Arbitrary f, Test.QuickCheck.Arbitrary.Arbitrary g, Test.QuickCheck.Arbitrary.Arbitrary h, Test.QuickCheck.Arbitrary.Arbitrary i, Test.QuickCheck.Arbitrary.Arbitrary j) => Test.QuickCheck.Arbitrary.Arbitrary (a, b, c, d, e, f, g, h, i, j)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b) => Test.QuickCheck.Arbitrary.Arbitrary (a, b)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b, Test.QuickCheck.Arbitrary.Arbitrary c) => Test.QuickCheck.Arbitrary.Arbitrary (a, b, c)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b, Test.QuickCheck.Arbitrary.Arbitrary c, Test.QuickCheck.Arbitrary.Arbitrary d) => Test.QuickCheck.Arbitrary.Arbitrary (a, b, c, d)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b, Test.QuickCheck.Arbitrary.Arbitrary c, Test.QuickCheck.Arbitrary.Arbitrary d, Test.QuickCheck.Arbitrary.Arbitrary e) => Test.QuickCheck.Arbitrary.Arbitrary (a, b, c, d, e)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b, Test.QuickCheck.Arbitrary.Arbitrary c, Test.QuickCheck.Arbitrary.Arbitrary d, Test.QuickCheck.Arbitrary.Arbitrary e, Test.QuickCheck.Arbitrary.Arbitrary f) => Test.QuickCheck.Arbitrary.Arbitrary (a, b, c, d, e, f)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b, Test.QuickCheck.Arbitrary.Arbitrary c, Test.QuickCheck.Arbitrary.Arbitrary d, Test.QuickCheck.Arbitrary.Arbitrary e, Test.QuickCheck.Arbitrary.Arbitrary f, Test.QuickCheck.Arbitrary.Arbitrary g) => Test.QuickCheck.Arbitrary.Arbitrary (a, b, c, d, e, f, g)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b, Test.QuickCheck.Arbitrary.Arbitrary c, Test.QuickCheck.Arbitrary.Arbitrary d, Test.QuickCheck.Arbitrary.Arbitrary e, Test.QuickCheck.Arbitrary.Arbitrary f, Test.QuickCheck.Arbitrary.Arbitrary g, Test.QuickCheck.Arbitrary.Arbitrary h) => Test.QuickCheck.Arbitrary.Arbitrary (a, b, c, d, e, f, g, h)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b, Test.QuickCheck.Arbitrary.Arbitrary c, Test.QuickCheck.Arbitrary.Arbitrary d, Test.QuickCheck.Arbitrary.Arbitrary e, Test.QuickCheck.Arbitrary.Arbitrary f, Test.QuickCheck.Arbitrary.Arbitrary g, Test.QuickCheck.Arbitrary.Arbitrary h, Test.QuickCheck.Arbitrary.Arbitrary i) => Test.QuickCheck.Arbitrary.Arbitrary (a, b, c, d, e, f, g, h, i)
instance Test.QuickCheck.Arbitrary.Arbitrary ()
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Data.Version.Version
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Types.Word
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Word.Word16
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Word.Word32
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Word.Word64
instance Test.QuickCheck.Arbitrary.Arbitrary GHC.Internal.Word.Word8
instance Test.QuickCheck.Arbitrary.Arbitrary (a b c) => Test.QuickCheck.Arbitrary.Arbitrary (Control.Applicative.WrappedArrow a b c)
instance Test.QuickCheck.Arbitrary.Arbitrary (m a) => Test.QuickCheck.Arbitrary.Arbitrary (Control.Applicative.WrappedMonad m a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (GHC.Internal.Functor.ZipList.ZipList a)
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Data.Semigroup.Internal.All
instance forall k (f :: k -> *) (a :: k). Test.QuickCheck.Arbitrary.CoArbitrary (f a) => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Semigroup.Internal.Alt f a)
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Data.Semigroup.Internal.Any
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Types.Bool
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Types.Char
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (Data.Complex.Complex a)
instance forall k a (b :: k). Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Functor.Const.Const a b)
instance forall k a (b :: k). Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (Data.Functor.Constant.Constant a b)
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Types.Double
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Semigroup.Internal.Dual a)
instance (Test.QuickCheck.Arbitrary.CoArbitrary a, Test.QuickCheck.Arbitrary.CoArbitrary b) => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Either.Either a b)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.CoArbitrary a) => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Semigroup.Internal.Endo a)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Arbitrary.CoArbitrary b) => Test.QuickCheck.Arbitrary.CoArbitrary (a -> b)
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Monoid.First a)
instance forall k (a :: k). Data.Fixed.HasResolution a => Test.QuickCheck.Arbitrary.CoArbitrary (Data.Fixed.Fixed a)
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Types.Float
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Functor.Identity.Identity a)
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Types.Int
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Int.Int16
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Int.Int32
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Int.Int64
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Int.Int8
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (Data.IntMap.Internal.IntMap a)
instance Test.QuickCheck.Arbitrary.CoArbitrary Data.IntSet.Internal.IntSet
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Num.Integer.Integer
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Monoid.Last a)
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary [a]
instance (Test.QuickCheck.Arbitrary.CoArbitrary k, Test.QuickCheck.Arbitrary.CoArbitrary v) => Test.QuickCheck.Arbitrary.CoArbitrary (Data.Map.Internal.Map k v)
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Maybe.Maybe a)
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.IO.Handle.Types.Newline
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.IO.Handle.Types.NewlineMode
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Types.Ordering
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Semigroup.Internal.Product a)
instance (GHC.Internal.Real.Integral a, Test.QuickCheck.Arbitrary.CoArbitrary a) => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Real.Ratio a)
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (Data.Sequence.Internal.Seq a)
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (Data.Set.Internal.Set a)
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Data.Semigroup.Internal.Sum a)
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (Data.Tree.Tree a)
instance (Test.QuickCheck.Arbitrary.CoArbitrary a, Test.QuickCheck.Arbitrary.CoArbitrary b) => Test.QuickCheck.Arbitrary.CoArbitrary (a, b)
instance (Test.QuickCheck.Arbitrary.CoArbitrary a, Test.QuickCheck.Arbitrary.CoArbitrary b, Test.QuickCheck.Arbitrary.CoArbitrary c) => Test.QuickCheck.Arbitrary.CoArbitrary (a, b, c)
instance (Test.QuickCheck.Arbitrary.CoArbitrary a, Test.QuickCheck.Arbitrary.CoArbitrary b, Test.QuickCheck.Arbitrary.CoArbitrary c, Test.QuickCheck.Arbitrary.CoArbitrary d) => Test.QuickCheck.Arbitrary.CoArbitrary (a, b, c, d)
instance (Test.QuickCheck.Arbitrary.CoArbitrary a, Test.QuickCheck.Arbitrary.CoArbitrary b, Test.QuickCheck.Arbitrary.CoArbitrary c, Test.QuickCheck.Arbitrary.CoArbitrary d, Test.QuickCheck.Arbitrary.CoArbitrary e) => Test.QuickCheck.Arbitrary.CoArbitrary (a, b, c, d, e)
instance Test.QuickCheck.Arbitrary.CoArbitrary ()
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Data.Version.Version
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Types.Word
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Word.Word16
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Word.Word32
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Word.Word64
instance Test.QuickCheck.Arbitrary.CoArbitrary GHC.Internal.Word.Word8
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.CoArbitrary (GHC.Internal.Functor.ZipList.ZipList a)
instance forall k (f :: k -> *) (g :: k -> *). (Test.QuickCheck.Arbitrary.GCoArbitrary f, Test.QuickCheck.Arbitrary.GCoArbitrary g) => Test.QuickCheck.Arbitrary.GCoArbitrary (f GHC.Internal.Generics.:*: g)
instance forall k (f :: k -> *) (g :: k -> *). (Test.QuickCheck.Arbitrary.GCoArbitrary f, Test.QuickCheck.Arbitrary.GCoArbitrary g) => Test.QuickCheck.Arbitrary.GCoArbitrary (f GHC.Internal.Generics.:+: g)
instance Test.QuickCheck.Arbitrary.CoArbitrary a => Test.QuickCheck.Arbitrary.GCoArbitrary (GHC.Internal.Generics.K1 i a)
instance forall k (f :: k -> *) i (c :: GHC.Internal.Generics.Meta). Test.QuickCheck.Arbitrary.GCoArbitrary f => Test.QuickCheck.Arbitrary.GCoArbitrary (GHC.Internal.Generics.M1 i c f)
instance Test.QuickCheck.Arbitrary.GCoArbitrary GHC.Internal.Generics.U1
instance (Test.QuickCheck.Arbitrary.GSubtermsIncl f a, Test.QuickCheck.Arbitrary.GSubtermsIncl g a) => Test.QuickCheck.Arbitrary.GSubtermsIncl (f GHC.Internal.Generics.:*: g) a
instance (Test.QuickCheck.Arbitrary.GSubtermsIncl f a, Test.QuickCheck.Arbitrary.GSubtermsIncl g a) => Test.QuickCheck.Arbitrary.GSubtermsIncl (f GHC.Internal.Generics.:+: g) a
instance Test.QuickCheck.Arbitrary.GSubtermsIncl (GHC.Internal.Generics.K1 i a) b
instance Test.QuickCheck.Arbitrary.GSubtermsIncl (GHC.Internal.Generics.K1 i a) a
instance Test.QuickCheck.Arbitrary.GSubtermsIncl f a => Test.QuickCheck.Arbitrary.GSubtermsIncl (GHC.Internal.Generics.M1 i c f) a
instance Test.QuickCheck.Arbitrary.GSubtermsIncl GHC.Internal.Generics.U1 a
instance Test.QuickCheck.Arbitrary.GSubtermsIncl GHC.Internal.Generics.V1 a
instance (Test.QuickCheck.Arbitrary.GSubtermsIncl f a, Test.QuickCheck.Arbitrary.GSubtermsIncl g a) => Test.QuickCheck.Arbitrary.GSubterms (f GHC.Internal.Generics.:*: g) a
instance (Test.QuickCheck.Arbitrary.GSubtermsIncl f a, Test.QuickCheck.Arbitrary.GSubtermsIncl g a) => Test.QuickCheck.Arbitrary.GSubterms (f GHC.Internal.Generics.:+: g) a
instance Test.QuickCheck.Arbitrary.GSubterms (GHC.Internal.Generics.K1 i a) b
instance Test.QuickCheck.Arbitrary.GSubterms f a => Test.QuickCheck.Arbitrary.GSubterms (GHC.Internal.Generics.M1 i c f) a
instance Test.QuickCheck.Arbitrary.GSubterms GHC.Internal.Generics.U1 a
instance Test.QuickCheck.Arbitrary.GSubterms GHC.Internal.Generics.V1 a
instance forall k (f :: k -> *) (g :: k -> *). (Test.QuickCheck.Arbitrary.RecursivelyShrink f, Test.QuickCheck.Arbitrary.RecursivelyShrink g) => Test.QuickCheck.Arbitrary.RecursivelyShrink (f GHC.Internal.Generics.:*: g)
instance forall k (f :: k -> *) (g :: k -> *). (Test.QuickCheck.Arbitrary.RecursivelyShrink f, Test.QuickCheck.Arbitrary.RecursivelyShrink g) => Test.QuickCheck.Arbitrary.RecursivelyShrink (f GHC.Internal.Generics.:+: g)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.RecursivelyShrink (GHC.Internal.Generics.K1 i a)
instance forall k (f :: k -> *) i (c :: GHC.Internal.Generics.Meta). Test.QuickCheck.Arbitrary.RecursivelyShrink f => Test.QuickCheck.Arbitrary.RecursivelyShrink (GHC.Internal.Generics.M1 i c f)
instance Test.QuickCheck.Arbitrary.RecursivelyShrink GHC.Internal.Generics.U1
instance Test.QuickCheck.Arbitrary.RecursivelyShrink GHC.Internal.Generics.V1

-- | Types to help with testing polymorphic properties.
--   
--   Types A, B and C are newtype wrappers
--   around Integer that implement Eq, Show,
--   Arbitrary and CoArbitrary. Types OrdA,
--   OrdB and OrdC also implement Ord and Num.
--   
--   See also Test.QuickCheck.All for an automatic way of testing
--   polymorphic properties.
module Test.QuickCheck.Poly
newtype A
A :: Integer -> A
[unA] :: A -> Integer
newtype B
B :: Integer -> B
[unB] :: B -> Integer
newtype C
C :: Integer -> C
[unC] :: C -> Integer
newtype OrdA
OrdA :: Integer -> OrdA
[unOrdA] :: OrdA -> Integer
newtype OrdB
OrdB :: Integer -> OrdB
[unOrdB] :: OrdB -> Integer
newtype OrdC
OrdC :: Integer -> OrdC
[unOrdC] :: OrdC -> Integer
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Poly.A
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Poly.B
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Poly.C
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Poly.OrdA
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Poly.OrdB
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Poly.OrdC
instance Test.QuickCheck.Arbitrary.CoArbitrary Test.QuickCheck.Poly.A
instance Test.QuickCheck.Arbitrary.CoArbitrary Test.QuickCheck.Poly.B
instance Test.QuickCheck.Arbitrary.CoArbitrary Test.QuickCheck.Poly.C
instance Test.QuickCheck.Arbitrary.CoArbitrary Test.QuickCheck.Poly.OrdA
instance Test.QuickCheck.Arbitrary.CoArbitrary Test.QuickCheck.Poly.OrdB
instance Test.QuickCheck.Arbitrary.CoArbitrary Test.QuickCheck.Poly.OrdC
instance GHC.Classes.Eq Test.QuickCheck.Poly.A
instance GHC.Classes.Eq Test.QuickCheck.Poly.B
instance GHC.Classes.Eq Test.QuickCheck.Poly.C
instance GHC.Classes.Eq Test.QuickCheck.Poly.OrdA
instance GHC.Classes.Eq Test.QuickCheck.Poly.OrdB
instance GHC.Classes.Eq Test.QuickCheck.Poly.OrdC
instance GHC.Internal.Num.Num Test.QuickCheck.Poly.OrdA
instance GHC.Internal.Num.Num Test.QuickCheck.Poly.OrdB
instance GHC.Internal.Num.Num Test.QuickCheck.Poly.OrdC
instance GHC.Classes.Ord Test.QuickCheck.Poly.OrdA
instance GHC.Classes.Ord Test.QuickCheck.Poly.OrdB
instance GHC.Classes.Ord Test.QuickCheck.Poly.OrdC
instance GHC.Internal.Show.Show Test.QuickCheck.Poly.A
instance GHC.Internal.Show.Show Test.QuickCheck.Poly.B
instance GHC.Internal.Show.Show Test.QuickCheck.Poly.C
instance GHC.Internal.Show.Show Test.QuickCheck.Poly.OrdA
instance GHC.Internal.Show.Show Test.QuickCheck.Poly.OrdB
instance GHC.Internal.Show.Show Test.QuickCheck.Poly.OrdC

-- | Modifiers for test data.
--   
--   These types do things such as restricting the kind of test data that
--   can be generated. They can be pattern-matched on in properties as a
--   stylistic alternative to using explicit quantification.
--   
--   Note: the contents of this module are re-exported by
--   Test.QuickCheck. You do not need to import it directly.
--   
--   Examples:
--   
--   
--   -- Functions cannot be shown (but see Test.QuickCheck.Function)
--   prop_TakeDropWhile (Blind p) (xs :: [A]) =
--     takeWhile p xs ++ dropWhile p xs == xs
--   
--   
--   
--   prop_TakeDrop (NonNegative n) (xs :: [A]) =
--     take n xs ++ drop n xs == xs
--   
--   
--   
--   -- cycle does not work for empty lists
--   prop_Cycle (NonNegative n) (NonEmpty (xs :: [A])) =
--     take n (cycle xs) == take n (xs ++ cycle xs)
--   
--   
--   
--   -- Instead of forAll orderedList
--   prop_Sort (Ordered (xs :: [OrdA])) =
--     sort xs == xs
--   
module Test.QuickCheck.Modifiers

-- | Blind x: as x, but x does not have to be in the Show
--   class.
newtype Blind a
Blind :: a -> Blind a
[getBlind] :: Blind a -> a

-- | Fixed x: as x, but will not be shrunk.
newtype Fixed a
Fixed :: a -> Fixed a
[getFixed] :: Fixed a -> a

-- | Ordered xs: guarantees that xs is ordered.
newtype OrderedList a
Ordered :: [a] -> OrderedList a
[getOrdered] :: OrderedList a -> [a]

-- | NonEmpty xs: guarantees that xs is non-empty.
newtype NonEmptyList a
NonEmpty :: [a] -> NonEmptyList a
[getNonEmpty] :: NonEmptyList a -> [a]

-- | InfiniteList xs _: guarantees that xs is an infinite list.
--   When a counterexample is found, only prints the prefix of xs that was
--   used by the program.
--   
--   Here is a contrived example property:
--   
--   
--   prop_take_10 :: InfiniteList Char -> Bool
--   prop_take_10 (InfiniteList xs _) =
--     or [ x == 'a' | x <- take 10 xs ]
--   
--   
--   In the following counterexample, the list must start with
--   "bbbbbbbbbb" but the remaining (infinite) part can contain
--   anything:
--   
--   
--   >>> quickCheck prop_take_10
--   *** Failed! Falsified (after 1 test and 14 shrinks):
--   "bbbbbbbbbb" ++ ...
--   
data InfiniteList a
InfiniteList :: [a] -> InfiniteListInternalData a -> InfiniteList a
[getInfiniteList] :: InfiniteList a -> [a]
[infiniteListInternalData] :: InfiniteList a -> InfiniteListInternalData a

-- | Sorted xs: guarantees that xs is sorted.
newtype SortedList a
Sorted :: [a] -> SortedList a
[getSorted] :: SortedList a -> [a]

-- | Positive x: guarantees that x > 0.
newtype Positive a
Positive :: a -> Positive a
[getPositive] :: Positive a -> a

-- | Negative x: guarantees that x < 0.
newtype Negative a
Negative :: a -> Negative a
[getNegative] :: Negative a -> a

-- | NonZero x: guarantees that x /= 0.
newtype NonZero a
NonZero :: a -> NonZero a
[getNonZero] :: NonZero a -> a

-- | NonNegative x: guarantees that x >= 0.
newtype NonNegative a
NonNegative :: a -> NonNegative a
[getNonNegative] :: NonNegative a -> a

-- | NonPositive x: guarantees that x <= 0.
newtype NonPositive a
NonPositive :: a -> NonPositive a
[getNonPositive] :: NonPositive a -> a

-- | Large x: by default, QuickCheck generates Ints drawn
--   from a small range. Large Int gives you values drawn from the
--   entire range instead.
newtype Large a
Large :: a -> Large a
[getLarge] :: Large a -> a

-- | Small x: generates values of x drawn from a small
--   range. The opposite of Large.
newtype Small a
Small :: a -> Small a
[getSmall] :: Small a -> a

-- | Smart _ x: tries a different order when shrinking.
data Smart a
Smart :: Int -> a -> Smart a

-- | Shrink2 x: allows 2 shrinking steps at the same time when
--   shrinking x
newtype Shrink2 a
Shrink2 :: a -> Shrink2 a
[getShrink2] :: Shrink2 a -> a

-- | Shrinking _ x: allows for maintaining a state during
--   shrinking.
data Shrinking s a
Shrinking :: s -> a -> Shrinking s a
class ShrinkState s a
shrinkInit :: ShrinkState s a => a -> s
shrinkState :: ShrinkState s a => a -> s -> [(a, s)]

-- | ASCIIString: generates an ASCII string.
newtype ASCIIString
ASCIIString :: String -> ASCIIString
[getASCIIString] :: ASCIIString -> String

-- | UnicodeString: generates a unicode String. The string will
--   not contain surrogate pairs.
newtype UnicodeString
UnicodeString :: String -> UnicodeString
[getUnicodeString] :: UnicodeString -> String

-- | PrintableString: generates a printable unicode String. The
--   string will not contain surrogate pairs.
newtype PrintableString
PrintableString :: String -> PrintableString
[getPrintableString] :: PrintableString -> String
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Modifiers.ASCIIString
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.Blind a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.Fixed a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.InfiniteList a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.InfiniteListInternalData a)
instance (GHC.Internal.Real.Integral a, GHC.Internal.Enum.Bounded a) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.Large a)
instance (GHC.Internal.Num.Num a, GHC.Classes.Ord a, Test.QuickCheck.Arbitrary.Arbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.Negative a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.NonEmptyList a)
instance (GHC.Internal.Num.Num a, GHC.Classes.Ord a, Test.QuickCheck.Arbitrary.Arbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.NonNegative a)
instance (GHC.Internal.Num.Num a, GHC.Classes.Ord a, Test.QuickCheck.Arbitrary.Arbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.NonPositive a)
instance (GHC.Internal.Num.Num a, GHC.Classes.Eq a, Test.QuickCheck.Arbitrary.Arbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.NonZero a)
instance (GHC.Classes.Ord a, Test.QuickCheck.Arbitrary.Arbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.OrderedList a)
instance (GHC.Internal.Num.Num a, GHC.Classes.Ord a, Test.QuickCheck.Arbitrary.Arbitrary a) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.Positive a)
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Modifiers.PrintableString
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.Shrink2 a)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, Test.QuickCheck.Modifiers.ShrinkState s a) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.Shrinking s a)
instance GHC.Internal.Real.Integral a => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.Small a)
instance Test.QuickCheck.Arbitrary.Arbitrary a => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.Smart a)
instance (Test.QuickCheck.Arbitrary.Arbitrary a, GHC.Classes.Ord a) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Modifiers.SortedList a)
instance Test.QuickCheck.Arbitrary.Arbitrary Test.QuickCheck.Modifiers.UnicodeString
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.Blind a)
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.Fixed a)
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.Large a)
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.Negative a)
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.NonNegative a)
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.NonPositive a)
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.NonZero a)
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.Positive a)
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.Shrink2 a)
instance GHC.Internal.Enum.Enum a => GHC.Internal.Enum.Enum (Test.QuickCheck.Modifiers.Small a)
instance GHC.Classes.Eq Test.QuickCheck.Modifiers.ASCIIString
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.Blind a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.Fixed a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.Large a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.Negative a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.NonEmptyList a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.NonNegative a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.NonPositive a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.NonZero a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.OrderedList a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.Positive a)
instance GHC.Classes.Eq Test.QuickCheck.Modifiers.PrintableString
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.Shrink2 a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.Small a)
instance GHC.Classes.Eq a => GHC.Classes.Eq (Test.QuickCheck.Modifiers.SortedList a)
instance GHC.Classes.Eq Test.QuickCheck.Modifiers.UnicodeString
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.Blind
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.Fixed
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.Large
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.Negative
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.NonEmptyList
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.NonNegative
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.NonPositive
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.NonZero
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.OrderedList
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.Positive
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.Shrink2
instance GHC.Internal.Base.Functor (Test.QuickCheck.Modifiers.Shrinking s)
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.Small
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.Smart
instance GHC.Internal.Base.Functor Test.QuickCheck.Modifiers.SortedList
instance GHC.Internal.Real.Integral a => GHC.Internal.Real.Integral (Test.QuickCheck.Modifiers.Blind a)
instance GHC.Internal.Real.Integral a => GHC.Internal.Real.Integral (Test.QuickCheck.Modifiers.Fixed a)
instance GHC.Internal.Real.Integral a => GHC.Internal.Real.Integral (Test.QuickCheck.Modifiers.Large a)
instance GHC.Internal.Real.Integral a => GHC.Internal.Real.Integral (Test.QuickCheck.Modifiers.Shrink2 a)
instance GHC.Internal.Real.Integral a => GHC.Internal.Real.Integral (Test.QuickCheck.Modifiers.Small a)
instance GHC.Internal.Ix.Ix a => GHC.Internal.Ix.Ix (Test.QuickCheck.Modifiers.Large a)
instance GHC.Internal.Ix.Ix a => GHC.Internal.Ix.Ix (Test.QuickCheck.Modifiers.Small a)
instance GHC.Internal.Num.Num a => GHC.Internal.Num.Num (Test.QuickCheck.Modifiers.Blind a)
instance GHC.Internal.Num.Num a => GHC.Internal.Num.Num (Test.QuickCheck.Modifiers.Fixed a)
instance GHC.Internal.Num.Num a => GHC.Internal.Num.Num (Test.QuickCheck.Modifiers.Large a)
instance GHC.Internal.Num.Num a => GHC.Internal.Num.Num (Test.QuickCheck.Modifiers.Shrink2 a)
instance GHC.Internal.Num.Num a => GHC.Internal.Num.Num (Test.QuickCheck.Modifiers.Small a)
instance GHC.Classes.Ord Test.QuickCheck.Modifiers.ASCIIString
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.Blind a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.Fixed a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.Large a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.Negative a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.NonEmptyList a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.NonNegative a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.NonPositive a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.NonZero a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.OrderedList a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.Positive a)
instance GHC.Classes.Ord Test.QuickCheck.Modifiers.PrintableString
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.Shrink2 a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.Small a)
instance GHC.Classes.Ord a => GHC.Classes.Ord (Test.QuickCheck.Modifiers.SortedList a)
instance GHC.Classes.Ord Test.QuickCheck.Modifiers.UnicodeString
instance GHC.Internal.Read.Read Test.QuickCheck.Modifiers.ASCIIString
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.Fixed a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.Large a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.Negative a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.NonEmptyList a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.NonNegative a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.NonPositive a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.NonZero a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.OrderedList a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.Positive a)
instance GHC.Internal.Read.Read Test.QuickCheck.Modifiers.PrintableString
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.Shrink2 a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.Small a)
instance GHC.Internal.Read.Read a => GHC.Internal.Read.Read (Test.QuickCheck.Modifiers.SortedList a)
instance GHC.Internal.Read.Read Test.QuickCheck.Modifiers.UnicodeString
instance GHC.Internal.Real.Real a => GHC.Internal.Real.Real (Test.QuickCheck.Modifiers.Blind a)
instance GHC.Internal.Real.Real a => GHC.Internal.Real.Real (Test.QuickCheck.Modifiers.Fixed a)
instance GHC.Internal.Real.Real a => GHC.Internal.Real.Real (Test.QuickCheck.Modifiers.Large a)
instance GHC.Internal.Real.Real a => GHC.Internal.Real.Real (Test.QuickCheck.Modifiers.Shrink2 a)
instance GHC.Internal.Real.Real a => GHC.Internal.Real.Real (Test.QuickCheck.Modifiers.Small a)
instance GHC.Internal.Show.Show Test.QuickCheck.Modifiers.ASCIIString
instance GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.Blind a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.Fixed a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.InfiniteList a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.Large a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.Negative a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.NonEmptyList a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.NonNegative a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.NonPositive a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.NonZero a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.OrderedList a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.Positive a)
instance GHC.Internal.Show.Show Test.QuickCheck.Modifiers.PrintableString
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.Shrink2 a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.Shrinking s a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.Small a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.Smart a)
instance GHC.Internal.Show.Show a => GHC.Internal.Show.Show (Test.QuickCheck.Modifiers.SortedList a)
instance GHC.Internal.Show.Show Test.QuickCheck.Modifiers.UnicodeString

-- | Generation of random shrinkable, showable functions. See the paper
--   "Shrinking and showing functions" by Koen Claessen.
--   
--   Note: most of the contents of this module are re-exported by
--   Test.QuickCheck. You probably do not need to import it
--   directly.
--   
--   Example of use:
--   
--   
--   >>> :{
--   
--   >>> let prop :: Fun String Integer -> Bool
--   
--   >>>     prop (Fun _ f) = f "monkey" == f "banana" || f "banana" == f "elephant"
--   
--   >>> :}
--   
--   >>> quickCheck prop
--   *** Failed! Falsified (after 3 tests and 134 shrinks):
--   {"elephant"->1, "monkey"->1, _->0}
--   
--   
--   To generate random values of type Fun a b, you must
--   have an instance Function a. If your type has a
--   Show instance, you can use functionShow to write the
--   instance; otherwise, use functionMap to give a bijection
--   between your type and a type that is already an instance of
--   Function. See the Function [a] instance for an
--   example of the latter.
module Test.QuickCheck.Function

-- | Generation of random shrinkable, showable functions.
--   
--   To generate random values of type Fun a b, you must
--   have an instance Function a.
--   
--   See also applyFun, and Fn with GHC >= 7.8.
data Fun a b
Fun :: (a :-> b, b, Shrunk) -> (a -> b) -> Fun a b

-- | Extracts the value of a function.
--   
--   Fn is the pattern equivalent of this function.
--   
--   
--   prop :: Fun String Integer -> Bool
--   prop f = applyFun f "banana" == applyFun f "monkey"
--         || applyFun f "banana" == applyFun f "elephant"
--   
applyFun :: Fun a b -> a -> b

-- | Alias to applyFun.
apply :: Fun a b -> a -> b

-- | Extracts the value of a binary function.
--   
--   Fn2 is the pattern equivalent of this function.
--   
--   
--   prop_zipWith :: Fun (Int, Bool) Char -> [Int] -> [Bool] -> Bool
--   prop_zipWith f xs ys = zipWith (applyFun2 f) xs ys == [ applyFun2 f x y | (x, y) <- zip xs ys]
--   
applyFun2 :: Fun (a, b) c -> a -> b -> c

-- | Extracts the value of a ternary function. Fn3 is the pattern
--   equivalent of this function.
applyFun3 :: Fun (a, b, c) d -> a -> b -> c -> d

-- | The type of possibly partial concrete functions
data a :-> c

-- | The class Function a is used for random generation of
--   showable functions of type a -> b.
--   
--   There is a default implementation for function, which you can
--   use if your type has structural equality. Otherwise, you can normally
--   use functionMap or functionShow.
class Function a
function :: Function a => (a -> b) -> a :-> b
($dmfunction) :: (Function a, Generic a, GFunction (Rep a)) => (a -> b) -> a :-> b

-- | The basic building block for Function instances. Provides a
--   Function instance by mapping to and from a type that already
--   has a Function instance.
functionMap :: Function b => (a -> b) -> (b -> a) -> (a -> c) -> a :-> c

-- | Provides a Function instance for types with Show and
--   Read.
functionShow :: (Show a, Read a) => (a -> c) -> a :-> c

-- | Provides a Function instance for types with Integral.
functionIntegral :: Integral a => (a -> b) -> a :-> b

-- | Provides a Function instance for types with RealFrac.
functionRealFrac :: RealFrac a => (a -> b) -> a :-> b

-- | Provides a Function instance for types with Bounded and
--   Enum. Use only for small types (i.e. not integers): creates the
--   list [minBound..maxBound]!
functionBoundedEnum :: (Eq a, Bounded a, Enum a) => (a -> b) -> a :-> b

-- | Provides a Function instance for small finite types.
functionElements :: Eq a => [a] -> (a -> b) -> a :-> b

-- | Provides a Function instance for types isomorphic to
--   Void.
--   
--   An actual Function Void instance is defined in
--   quickcheck-instances.
functionVoid :: (forall b. () => void -> b) -> void :-> c

functionMapWith :: ((b -> c) -> b :-> c) -> (a -> b) -> (b -> a) -> (a -> c) -> a :-> c

functionEitherWith :: ((a -> c) -> a :-> c) -> ((b -> c) -> b :-> c) -> (Either a b -> c) -> Either a b :-> c

functionPairWith :: ((a -> b -> c) -> a :-> (b -> c)) -> ((b -> c) -> b :-> c) -> ((a, b) -> c) -> (a, b) :-> c

-- | A modifier for testing functions.
--   
--   
--   prop :: Fun String Integer -> Bool
--   prop (Fn f) = f "banana" == f "monkey"
--              || f "banana" == f "elephant"
--   
pattern Fn :: (a -> b) -> Fun a b

-- | A modifier for testing binary functions.
--   
--   
--   prop_zipWith :: Fun (Int, Bool) Char -> [Int] -> [Bool] -> Bool
--   prop_zipWith (Fn2 f) xs ys = zipWith f xs ys == [ f x y | (x, y) <- zip xs ys]
--   
pattern Fn2 :: (a -> b -> c) -> Fun (a, b) c

-- | A modifier for testing ternary functions.
pattern Fn3 :: (a -> b -> c -> d) -> Fun (a, b, c) d
instance (Test.QuickCheck.Function.Function a, Test.QuickCheck.Arbitrary.CoArbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b) => Test.QuickCheck.Arbitrary.Arbitrary (a Test.QuickCheck.Function.:-> b)
instance (Test.QuickCheck.Function.Function a, Test.QuickCheck.Arbitrary.CoArbitrary a, Test.QuickCheck.Arbitrary.Arbitrary b) => Test.QuickCheck.Arbitrary.Arbitrary (Test.QuickCheck.Function.Fun a b)
instance GHC.Classes.Eq Test.QuickCheck.Function.Shrunk
instance Test.QuickCheck.Function.Function Test.QuickCheck.Poly.A
instance Test.QuickCheck.Function.Function GHC.Internal.Data.Semigroup.Internal.All
instance forall k (f :: k -> *) (a :: k). Test.QuickCheck.Function.Function (f a) => Test.QuickCheck.Function.Function (GHC.Internal.Data.Semigroup.Internal.Alt f a)
instance Test.QuickCheck.Function.Function GHC.Internal.Data.Semigroup.Internal.Any
instance Test.QuickCheck.Function.Function Test.QuickCheck.Poly.B
instance Test.QuickCheck.Function.Function GHC.Types.Bool
instance Test.QuickCheck.Function.Function Test.QuickCheck.Poly.C
instance Test.QuickCheck.Function.Function GHC.Types.Char
instance (GHC.Internal.Float.RealFloat a, Test.QuickCheck.Function.Function a) => Test.QuickCheck.Function.Function (Data.Complex.Complex a)
instance forall k a (b :: k). Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (GHC.Internal.Data.Functor.Const.Const a b)
instance Test.QuickCheck.Function.Function GHC.Types.Double
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (GHC.Internal.Data.Semigroup.Internal.Dual a)
instance (Test.QuickCheck.Function.Function a, Test.QuickCheck.Function.Function b) => Test.QuickCheck.Function.Function (GHC.Internal.Data.Either.Either a b)
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (GHC.Internal.Data.Monoid.First a)
instance forall k (a :: k). Data.Fixed.HasResolution a => Test.QuickCheck.Function.Function (Data.Fixed.Fixed a)
instance Test.QuickCheck.Function.Function GHC.Types.Float
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (GHC.Internal.Data.Functor.Identity.Identity a)
instance Test.QuickCheck.Function.Function GHC.Types.Int
instance Test.QuickCheck.Function.Function GHC.Internal.Int.Int16
instance Test.QuickCheck.Function.Function GHC.Internal.Int.Int32
instance Test.QuickCheck.Function.Function GHC.Internal.Int.Int64
instance Test.QuickCheck.Function.Function GHC.Internal.Int.Int8
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (Data.IntMap.Internal.IntMap a)
instance Test.QuickCheck.Function.Function Data.IntSet.Internal.IntSet
instance Test.QuickCheck.Function.Function GHC.Num.Integer.Integer
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (GHC.Internal.Data.Monoid.Last a)
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function [a]
instance (GHC.Classes.Ord a, Test.QuickCheck.Function.Function a, Test.QuickCheck.Function.Function b) => Test.QuickCheck.Function.Function (Data.Map.Internal.Map a b)
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (GHC.Internal.Maybe.Maybe a)
instance Test.QuickCheck.Function.Function GHC.Internal.IO.Handle.Types.Newline
instance Test.QuickCheck.Function.Function GHC.Internal.IO.Handle.Types.NewlineMode
instance Test.QuickCheck.Function.Function Test.QuickCheck.Poly.OrdA
instance Test.QuickCheck.Function.Function Test.QuickCheck.Poly.OrdB
instance Test.QuickCheck.Function.Function Test.QuickCheck.Poly.OrdC
instance Test.QuickCheck.Function.Function GHC.Types.Ordering
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (GHC.Internal.Data.Semigroup.Internal.Product a)
instance (GHC.Internal.Real.Integral a, Test.QuickCheck.Function.Function a) => Test.QuickCheck.Function.Function (GHC.Internal.Real.Ratio a)
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (Data.Sequence.Internal.Seq a)
instance (GHC.Classes.Ord a, Test.QuickCheck.Function.Function a) => Test.QuickCheck.Function.Function (Data.Set.Internal.Set a)
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (GHC.Internal.Data.Semigroup.Internal.Sum a)
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.Function (Data.Tree.Tree a)
instance (Test.QuickCheck.Function.Function a, Test.QuickCheck.Function.Function b) => Test.QuickCheck.Function.Function (a, b)
instance (Test.QuickCheck.Function.Function a, Test.QuickCheck.Function.Function b, Test.QuickCheck.Function.Function c) => Test.QuickCheck.Function.Function (a, b, c)
instance (Test.QuickCheck.Function.Function a, Test.QuickCheck.Function.Function b, Test.QuickCheck.Function.Function c, Test.QuickCheck.Function.Function d) => Test.QuickCheck.Function.Function (a, b, c, d)
instance (Test.QuickCheck.Function.Function a, Test.QuickCheck.Function.Function b, Test.QuickCheck.Function.Function c, Test.QuickCheck.Function.Function d, Test.QuickCheck.Function.Function e) => Test.QuickCheck.Function.Function (a, b, c, d, e)
instance (Test.QuickCheck.Function.Function a, Test.QuickCheck.Function.Function b, Test.QuickCheck.Function.Function c, Test.QuickCheck.Function.Function d, Test.QuickCheck.Function.Function e, Test.QuickCheck.Function.Function f) => Test.QuickCheck.Function.Function (a, b, c, d, e, f)
instance (Test.QuickCheck.Function.Function a, Test.QuickCheck.Function.Function b, Test.QuickCheck.Function.Function c, Test.QuickCheck.Function.Function d, Test.QuickCheck.Function.Function e, Test.QuickCheck.Function.Function f, Test.QuickCheck.Function.Function g) => Test.QuickCheck.Function.Function (a, b, c, d, e, f, g)
instance Test.QuickCheck.Function.Function ()
instance Test.QuickCheck.Function.Function GHC.Types.Word
instance Test.QuickCheck.Function.Function GHC.Internal.Word.Word16
instance Test.QuickCheck.Function.Function GHC.Internal.Word.Word32
instance Test.QuickCheck.Function.Function GHC.Internal.Word.Word64
instance Test.QuickCheck.Function.Function GHC.Internal.Word.Word8
instance GHC.Internal.Base.Functor ((Test.QuickCheck.Function.:->) a)
instance GHC.Internal.Base.Functor (Test.QuickCheck.Function.Fun a)
instance forall k (f :: k -> *) (g :: k -> *). (Test.QuickCheck.Function.GFunction f, Test.QuickCheck.Function.GFunction g) => Test.QuickCheck.Function.GFunction (f GHC.Internal.Generics.:*: g)
instance forall k (f :: k -> *) (g :: k -> *). (Test.QuickCheck.Function.GFunction f, Test.QuickCheck.Function.GFunction g) => Test.QuickCheck.Function.GFunction (f GHC.Internal.Generics.:+: g)
instance Test.QuickCheck.Function.Function a => Test.QuickCheck.Function.GFunction (GHC.Internal.Generics.K1 i a)
instance forall k (f :: k -> *) i (c :: GHC.Internal.Generics.Meta). Test.QuickCheck.Function.GFunction f => Test.QuickCheck.Function.GFunction (GHC.Internal.Generics.M1 i c f)
instance Test.QuickCheck.Function.GFunction GHC.Internal.Generics.U1
instance (GHC.Internal.Show.Show a, GHC.Internal.Show.Show b) => GHC.Internal.Show.Show (a Test.QuickCheck.Function.:-> b)
instance (GHC.Internal.Show.Show a, GHC.Internal.Show.Show b) => GHC.Internal.Show.Show (Test.QuickCheck.Function.Fun a b)

-- | Allows testing of monadic values. Will generally follow this form:
--   
--   
--   prop_monadic a b = monadicIO $ do
--     a' <- run (f a)
--     b' <- run (f b)
--     -- ...
--     assert someBoolean
--   
--   
--   Example using the FACTOR(1) command-line utility:
--   
--   
--   import System.Process
--   import Test.QuickCheck
--   import Test.QuickCheck.Monadic
--   
--   -- $ factor 16
--   -- 16: 2 2 2 2
--   factor :: Integer -> IO [Integer]
--   factor n = parse `fmap` readProcess "factor" [show n] "" where
--   
--     parse :: String -> [Integer]
--     parse = map read . tail . words
--   
--   prop_factor :: Positive Integer -> Property
--   prop_factor (Positive n) = monadicIO $ do
--     factors <- run (factor n)
--   
--     assert (product factors == n)
--   
--   
--   
--   >>> quickCheck prop_factor
--   +++ OK, passed 100 tests.
--   
--   
--   See the paper "Testing Monadic Code with QuickCheck".
module Test.QuickCheck.Monadic

-- | The property monad is really a monad transformer that can contain
--   monadic computations in the monad m it is parameterized by:
--   
--   
--   
- m - the m-computations that may be performed
--   within PropertyM
--   
--   
--   Elements of PropertyM m a may mix property operations and
--   m-computations.
newtype PropertyM (m :: Type -> Type) a
MkPropertyM :: ((a -> Gen (m Property)) -> Gen (m Property)) -> PropertyM (m :: Type -> Type) a
[unPropertyM] :: PropertyM (m :: Type -> Type) a -> (a -> Gen (m Property)) -> Gen (m Property)

-- | The lifting operation of the property monad. Allows embedding
--   monadic/IO-actions in properties:
--   
--   
--   log :: Int -> IO ()
--   
--   prop_foo n = monadicIO $ do
--     run (log n)
--     -- ...
--   
run :: Monad m => m a -> PropertyM m a

-- | Allows embedding non-monadic properties into monadic ones.
assert :: forall (m :: Type -> Type). Monad m => Bool -> PropertyM m ()

-- | Like assert but allows caller to specify an explicit message to
--   show on failure.
--   
--   Example:
--   
--   
--   do
--     assertWith True  "My first predicate."
--     assertWith False "My other predicate."
--     ...
--   
--   
--   
--   Assertion failed (after 2 tests):
--       Passed: My first predicate
--       Failed: My other predicate
--   
assertWith :: forall (m :: Type -> Type). Monad m => Bool -> String -> PropertyM m ()

-- | Tests preconditions. Unlike assert this does not cause the
--   property to fail, rather it discards them just like using the
--   implication combinator ==>.
--   
--   This allows representing the Hoare triple
--   
--   
--   {p} x ← e{q}
--   
--   
--   as
--   
--   
--   pre p
--   x <- run e
--   assert q
--   
pre :: forall (m :: Type -> Type). Monad m => Bool -> PropertyM m ()

-- | The weakest precondition
--   
--   
--   wp(x ← e, p)
--   
--   
--   can be expressed as in code as wp e (\x -> p).
wp :: Monad m => m a -> (a -> PropertyM m b) -> PropertyM m b

-- | Quantification in a monadic property, fits better with
--   do-notation than forAllM. Note: values generated
--   by pick do not shrink.
pick :: forall (m :: Type -> Type) a. (Monad m, Show a) => Gen a -> PropertyM m a

-- | Quantification in monadic properties to pick, with a notation
--   similar to forAll. Note: values generated by
--   forAllM do not shrink.
forAllM :: forall (m :: Type -> Type) a b. (Monad m, Show a) => Gen a -> (a -> PropertyM m b) -> PropertyM m b

-- | Allows making observations about the test data:
--   
--   
--   monitor (collect e)
--   
--   
--   collects the distribution of value of e.
--   
--   
--   monitor (counterexample "Failure!")
--   
--   
--   Adds "Failure!" to the counterexamples.
monitor :: forall (m :: Type -> Type). Monad m => (Property -> Property) -> PropertyM m ()
stop :: forall prop (m :: Type -> Type) a. (Testable prop, Monad m) => prop -> PropertyM m a
monadic :: (Testable a, Monad m) => (m Property -> Property) -> PropertyM m a -> Property
monadic' :: (Testable a, Monad m) => PropertyM m a -> Gen (m Property)

-- | Runs the property monad for IO-computations.
--   
--   
--   prop_cat msg = monadicIO $ do
--     (exitCode, stdout, _) <- run (readProcessWithExitCode "cat" [] msg)
--   
--     pre (ExitSuccess == exitCode)
--   
--     assert (stdout == msg)
--   
--   
--   
--   >>> quickCheck prop_cat
--   +++ OK, passed 100 tests.
--   
monadicIO :: Testable a => PropertyM IO a -> Property

-- | Runs the property monad for ST-computations.
--   
--   
--   -- Your mutable sorting algorithm here
--   sortST :: Ord a => [a] -> ST s (MVector s a)
--   sortST = thaw . fromList . sort
--   
--   prop_sortST xs = monadicST $ do
--     sorted  <- run (freeze =<< sortST xs)
--     assert (toList sorted == sort xs)
--   
--   
--   
--   >>> quickCheck prop_sortST
--   +++ OK, passed 100 tests.
--   
monadicST :: Testable a => (forall s. () => PropertyM (ST s) a) -> Property
runSTGen :: (forall s. () => Gen (ST s a)) -> Gen a

-- | Evaluate the value to Weak Head Normal Form (WHNF) and fail if it does
--   not result in an expected exception being thrown.
assertException :: Exception exc => (exc -> Bool) -> a -> Property

-- | Make sure that a specific exception is thrown during an IO action. The
--   result is evaluated to WHNF.
assertExceptionIO :: Exception exc => (exc -> Bool) -> IO a -> Property

-- | Same as assertException, but evaluate the value to Normal Form
--   (NF) and fail if it does not result in an expected exception being
--   thrown.
assertDeepException :: (NFData a, Exception exc) => (exc -> Bool) -> a -> Property

-- | Make sure that a specific exception is thrown during an IO action. The
--   result is evaluated to NF.
assertDeepExceptionIO :: (NFData a, Exception exc) => (exc -> Bool) -> IO a -> Property
instance GHC.Internal.Base.Applicative (Test.QuickCheck.Monadic.PropertyM m)
instance GHC.Internal.Base.Functor (Test.QuickCheck.Monadic.PropertyM m)
instance GHC.Internal.Base.Monad m => GHC.Internal.Control.Monad.Fail.MonadFail (Test.QuickCheck.Monadic.PropertyM m)
instance Control.Monad.IO.Class.MonadIO m => Control.Monad.IO.Class.MonadIO (Test.QuickCheck.Monadic.PropertyM m)
instance GHC.Internal.Base.Monad m => GHC.Internal.Base.Monad (Test.QuickCheck.Monadic.PropertyM m)
instance Control.Monad.Trans.Class.MonadTrans Test.QuickCheck.Monadic.PropertyM

-- | Note: the contents of this module are re-exported by
--   Test.QuickCheck. You do not need to import it directly.
--   
--   Test all properties in the current module, using Template Haskell. You
--   need to have a {-# LANGUAGE TemplateHaskell #-} pragma in
--   your module for any of these to work.
module Test.QuickCheck.All

-- | Test all properties in the current module. The name of the property
--   must begin with prop_. Polymorphic properties will be
--   defaulted to Integer. Returns True if all tests
--   succeeded, False otherwise.
--   
--   To use quickCheckAll, add a definition to your module along the
--   lines of
--   
--   
--   return []
--   runTests = $quickCheckAll
--   
--   
--   and then execute runTests.
--   
--   Note: the bizarre return [] in the example above is needed on
--   GHC 7.8 and later; without it, quickCheckAll will not be able
--   to find any of the properties. For the curious, the return []
--   is a Template Haskell splice that makes GHC insert the empty list of
--   declarations at that point in the program; GHC typechecks everything
--   before the return [] before it starts on the rest of the
--   module, which means that the later call to quickCheckAll can
--   see everything that was defined before the return []. Yikes!
quickCheckAll :: Q Exp

-- | Test all properties in the current module. This is just a convenience
--   function that combines quickCheckAll and verbose.
--   
--   verboseCheckAll has the same issue with scoping as
--   quickCheckAll: see the note there about return [].
verboseCheckAll :: Q Exp

-- | Test all properties in the current module, using a custom
--   quickCheck function. The same caveats as with
--   quickCheckAll apply.
--   
--   $forAllProperties has type (Property ->
--   IO Result) -> IO Bool. An example
--   invocation is $forAllProperties
--   quickCheckResult, which does the same thing as
--   $quickCheckAll.
--   
--   forAllProperties has the same issue with scoping as
--   quickCheckAll: see the note there about return [].
forAllProperties :: Q Exp

-- | List all properties in the current module.
--   
--   $allProperties has type [(String,
--   Property)].
--   
--   allProperties has the same issue with scoping as
--   quickCheckAll: see the note there about return [].
allProperties :: Q Exp

-- | Test a polymorphic property, defaulting all type variables to
--   Integer.
--   
--   Invoke as $(polyQuickCheck 'prop), where prop
--   is a property. Note that just evaluating quickCheck
--   prop in GHCi will seem to work, but will silently default all
--   type variables to ()!
--   
--   $(polyQuickCheck 'prop) means the same as
--   quickCheck $(monomorphic 'prop). If you want to
--   supply custom arguments to polyQuickCheck, you will have to
--   combine quickCheckWith and monomorphic yourself.
--   
--   If you want to use polyQuickCheck in the same file where you
--   defined the property, the same scoping problems pop up as in
--   quickCheckAll: see the note there about return [].
polyQuickCheck :: Name -> ExpQ

-- | Test a polymorphic property, defaulting all type variables to
--   Integer. This is just a convenience function that combines
--   verboseCheck and monomorphic.
--   
--   If you want to use polyVerboseCheck in the same file where you
--   defined the property, the same scoping problems pop up as in
--   quickCheckAll: see the note there about return [].
polyVerboseCheck :: Name -> ExpQ

-- | Monomorphise an arbitrary property by defaulting all type variables to
--   Integer.
--   
--   For example, if f has type Ord a => [a] ->
--   [a] then $(monomorphic 'f) has type
--   [Integer] -> [Integer].
--   
--   If you want to use monomorphic in the same file where you
--   defined the property, the same scoping problems pop up as in
--   quickCheckAll: see the note there about return [].
monomorphic :: Name -> ExpQ

-- | The QuickCheck manual gives detailed information about using
--   QuickCheck effectively. You can also try
--   https://begriffs.com/posts/2017-01-14-design-use-quickcheck.html,
--   a tutorial written by a user of QuickCheck.
--   
--   To start using QuickCheck, write down your property as a function
--   returning Bool. For example, to check that reversing a list
--   twice gives back the same list you can write:
--   
--   
--   import Test.QuickCheck
--   
--   prop_reverse :: [Int] -> Bool
--   prop_reverse xs = reverse (reverse xs) == xs
--   
--   
--   You can then use QuickCheck to test prop_reverse on 100
--   random lists:
--   
--   
--   >>> quickCheck prop_reverse
--   +++ OK, passed 100 tests.
--   
--   
--   To run more tests you can use the withMaxSuccess combinator:
--   
--   
--   >>> quickCheck (withMaxSuccess 10000 prop_reverse)
--   +++ OK, passed 10000 tests.
--   
--   
--   To use QuickCheck on your own data types you will need to write
--   Arbitrary instances for those types. See the QuickCheck
--   manual for details about how to do that.
--   
--   When testing fails quickCheck will try to give you a minimal
--   counterexample to your property: @ import Test.QuickCheck
--   
--   prop_reverse_bad :: [Int] -> Bool prop_reverse_bad xs = reverse xs
--   == xs
--   
--   
--   >>> quickCheck prop_reverse_bad
--   *** Failed! Falsified (after 3 tests and 3 shrinks):
--   [0,1]
--   @
--   
--   
--   However, beware because not all properties that ought to fail will
--   fail when you expect them to:
--   
--   
--   >>> quickCheck $  x y -> x == y
--   +++ Ok, passed 100 tests.
--   
--   
--   That's because GHCi will default any type variables in your property
--   to (), so in the example above quickCheck was really
--   testing that () is equal to itself. To avoid this behaviour
--   it is best practise to monomorphise your polymorphic properties when
--   testing:
--   
--   
--   >>> quickCheck $  x y -> (x :: Int) == y
--   *** Failed! Falsified (after 4 tests and 3 shrinks):
--   0
--   1
--   
module Test.QuickCheck

-- | Tests a property and prints the results to stdout.
--   
--   By default up to 100 tests are performed, which may not be enough to
--   find all bugs. To run more tests, use withMaxSuccess.
--   
--   If you want to get the counterexample as a Haskell value, rather than
--   just printing it, try the quickcheck-with-counterexamples
--   package.
quickCheck :: Testable prop => prop -> IO ()

-- | Args specifies arguments to the QuickCheck driver
data Args
Args :: Maybe (QCGen, Int) -> Int -> Int -> Int -> Bool -> Int -> Args

-- | Should we replay a previous test? Note: saving a seed from one version
--   of QuickCheck and replaying it in another is not supported. If you
--   want to store a test case permanently you should save the test case
--   itself.
[replay] :: Args -> Maybe (QCGen, Int)

-- | Maximum number of successful tests before succeeding. Testing stops at
--   the first failure. If all tests are passing and you want to run more
--   tests, increase this number.
[maxSuccess] :: Args -> Int

-- | Maximum number of discarded tests per successful test before giving up
[maxDiscardRatio] :: Args -> Int

-- | Size to use for the biggest test cases
[maxSize] :: Args -> Int

-- | Whether to print anything
[chatty] :: Args -> Bool

-- | Maximum number of shrinks to do before giving up. Setting this to zero
--   turns shrinking off.
[maxShrinks] :: Args -> Int

-- | Result represents the test result
data Result

-- | A successful test run
Success :: Int -> Int -> !Map [String] Int -> !Map String Int -> !Map String (Map String Int) -> String -> Result

-- | Number of tests performed
[numTests] :: Result -> Int

-- | Number of tests skipped
[numDiscarded] :: Result -> Int

-- | The number of test cases having each combination of labels (see
--   label)
[labels] :: Result -> !Map [String] Int

-- | The number of test cases having each class (see classify)
[classes] :: Result -> !Map String Int

-- | Data collected by tabulate
[tables] :: Result -> !Map String (Map String Int)

-- | Printed output
[output] :: Result -> String

-- | Given up
GaveUp :: Int -> Int -> !Map [String] Int -> !Map String Int -> !Map String (Map String Int) -> String -> Result

-- | Number of tests performed
[numTests] :: Result -> Int

-- | Number of tests skipped
[numDiscarded] :: Result -> Int

-- | The number of test cases having each combination of labels (see
--   label)
[labels] :: Result -> !Map [String] Int

-- | The number of test cases having each class (see classify)
[classes] :: Result -> !Map String Int

-- | Data collected by tabulate
[tables] :: Result -> !Map String (Map String Int)

-- | Printed output
[output] :: Result -> String

-- | A failed test run
Failure :: Int -> Int -> Int -> Int -> Int -> QCGen -> Int -> String -> Maybe AnException -> String -> [String] -> [String] -> Set String -> [Witness] -> Result

-- | Number of tests performed
[numTests] :: Result -> Int

-- | Number of tests skipped
[numDiscarded] :: Result -> Int

-- | Number of successful shrinking steps performed
[numShrinks] :: Result -> Int

-- | Number of unsuccessful shrinking steps performed
[numShrinkTries] :: Result -> Int

-- | Number of unsuccessful shrinking steps performed since last successful
--   shrink
[numShrinkFinal] :: Result -> Int

-- | What seed was used
[usedSeed] :: Result -> QCGen

-- | What was the test size
[usedSize] :: Result -> Int

-- | Why did the property fail
[reason] :: Result -> String

-- | The exception the property threw, if any
[theException] :: Result -> Maybe AnException

-- | Printed output
[output] :: Result -> String

-- | The test case which provoked the failure
[failingTestCase] :: Result -> [String]

-- | The test case's labels (see label)
[failingLabels] :: Result -> [String]

-- | The test case's classes (see classify)
[failingClasses] :: Result -> Set String

-- | The existentially quantified witnesses provided by witness
[witnesses] :: Result -> [Witness]

-- | A property that should have failed did not
NoExpectedFailure :: Int -> Int -> !Map [String] Int -> !Map String Int -> !Map String (Map String Int) -> String -> Result

-- | Number of tests performed
[numTests] :: Result -> Int

-- | Number of tests skipped
[numDiscarded] :: Result -> Int

-- | The number of test cases having each combination of labels (see
--   label)
[labels] :: Result -> !Map [String] Int

-- | The number of test cases having each class (see classify)
[classes] :: Result -> !Map String Int

-- | Data collected by tabulate
[tables] :: Result -> !Map String (Map String Int)

-- | Printed output
[output] :: Result -> String

-- | The default test arguments
stdArgs :: Args

-- | Tests a property, using test arguments, and prints the results to
--   stdout.
quickCheckWith :: Testable prop => Args -> prop -> IO ()

-- | Tests a property, using test arguments, produces a test result, and
--   prints the results to stdout.
quickCheckWithResult :: Testable prop => Args -> prop -> IO Result

-- | Tests a property, produces a test result, and prints the results to
--   stdout.
quickCheckResult :: Testable prop => prop -> IO Result

-- | Re-run a property with the seed and size that failed in a run of
--   quickCheckResult.
recheck :: Testable prop => Result -> prop -> IO ()

-- | Check if the test run result was a success
isSuccess :: Result -> Bool

-- | Tests a property and prints the results and all test cases generated
--   to stdout. This is just a convenience function that means the
--   same as quickCheck . verbose.
--   
--   Note: for technical reasons, the test case is printed out after
--   the property is tested. To debug a property that goes into an infinite
--   loop, use within to add a timeout instead.
verboseCheck :: Testable prop => prop -> IO ()

-- | Tests a property, using test arguments, and prints the results and all
--   test cases generated to stdout. This is just a convenience
--   function that combines quickCheckWith and verbose.
--   
--   Note: for technical reasons, the test case is printed out after
--   the property is tested. To debug a property that goes into an infinite
--   loop, use within to add a timeout instead.
verboseCheckWith :: Testable prop => Args -> prop -> IO ()

-- | Tests a property, using test arguments, produces a test result, and
--   prints the results and all test cases generated to stdout.
--   This is just a convenience function that combines
--   quickCheckWithResult and verbose.
--   
--   Note: for technical reasons, the test case is printed out after
--   the property is tested. To debug a property that goes into an infinite
--   loop, use within to add a timeout instead.
verboseCheckWithResult :: Testable prop => Args -> prop -> IO Result

-- | Tests a property, produces a test result, and prints the results and
--   all test cases generated to stdout. This is just a
--   convenience function that combines quickCheckResult and
--   verbose.
--   
--   Note: for technical reasons, the test case is printed out after
--   the property is tested. To debug a property that goes into an infinite
--   loop, use within to add a timeout instead.
verboseCheckResult :: Testable prop => prop -> IO Result

-- | Test all properties in the current module. The name of the property
--   must begin with prop_. Polymorphic properties will be
--   defaulted to Integer. Returns True if all tests
--   succeeded, False otherwise.
--   
--   To use quickCheckAll, add a definition to your module along the
--   lines of
--   
--   
--   return []
--   runTests = $quickCheckAll
--   
--   
--   and then execute runTests.
--   
--   Note: the bizarre return [] in the example above is needed on
--   GHC 7.8 and later; without it, quickCheckAll will not be able
--   to find any of the properties. For the curious, the return []
--   is a Template Haskell splice that makes GHC insert the empty list of
--   declarations at that point in the program; GHC typechecks everything
--   before the return [] before it starts on the rest of the
--   module, which means that the later call to quickCheckAll can
--   see everything that was defined before the return []. Yikes!
quickCheckAll :: Q Exp

-- | Test all properties in the current module. This is just a convenience
--   function that combines quickCheckAll and verbose.
--   
--   verboseCheckAll has the same issue with scoping as
--   quickCheckAll: see the note there about return [].
verboseCheckAll :: Q Exp

-- | Test all properties in the current module, using a custom
--   quickCheck function. The same caveats as with
--   quickCheckAll apply.
--   
--   $forAllProperties has type (Property ->
--   IO Result) -> IO Bool. An example
--   invocation is $forAllProperties
--   quickCheckResult, which does the same thing as
--   $quickCheckAll.
--   
--   forAllProperties has the same issue with scoping as
--   quickCheckAll: see the note there about return [].
forAllProperties :: Q Exp

-- | List all properties in the current module.
--   
--   $allProperties has type [(String,
--   Property)].
--   
--   allProperties has the same issue with scoping as
--   quickCheckAll: see the note there about return [].
allProperties :: Q Exp

-- | Test a polymorphic property, defaulting all type variables to
--   Integer.
--   
--   Invoke as $(polyQuickCheck 'prop), where prop
--   is a property. Note that just evaluating quickCheck
--   prop in GHCi will seem to work, but will silently default all
--   type variables to ()!
--   
--   $(polyQuickCheck 'prop) means the same as
--   quickCheck $(monomorphic 'prop). If you want to
--   supply custom arguments to polyQuickCheck, you will have to
--   combine quickCheckWith and monomorphic yourself.
--   
--   If you want to use polyQuickCheck in the same file where you
--   defined the property, the same scoping problems pop up as in
--   quickCheckAll: see the note there about return [].
polyQuickCheck :: Name -> ExpQ

-- | Test a polymorphic property, defaulting all type variables to
--   Integer. This is just a convenience function that combines
--   verboseCheck and monomorphic.
--   
--   If you want to use polyVerboseCheck in the same file where you
--   defined the property, the same scoping problems pop up as in
--   quickCheckAll: see the note there about return [].
polyVerboseCheck :: Name -> ExpQ

-- | Monomorphise an arbitrary property by defaulting all type variables to
--   Integer.
--   
--   For example, if f has type Ord a => [a] ->
--   [a] then $(monomorphic 'f) has type
--   [Integer] -> [Integer].
--   
--   If you want to use monomorphic in the same file where you
--   defined the property, the same scoping problems pop up as in
--   quickCheckAll: see the note there about return [].
monomorphic :: Name -> ExpQ

-- | Random generation and shrinking of values.
--   
--   QuickCheck provides Arbitrary instances for most types in
--   base, except those which incur extra dependencies. For a
--   wider range of Arbitrary instances see the
--   quickcheck-instances package.
class Arbitrary a

-- | A generator for values of the given type.
--   
--   It is worth spending time thinking about what sort of test data you
--   want - good generators are often the difference between finding bugs
--   and not finding them. You can use sample, label and
--   classify to check the quality of your test data.
--   
--   There is no generic arbitrary implementation included because
--   we don't know how to make a high-quality one. If you want one,
--   consider using the testing-feat or generic-random
--   packages.
--   
--   The QuickCheck manual goes into detail on how to write good
--   generators. Make sure to look at it, especially if your type is
--   recursive!
arbitrary :: Arbitrary a => Gen a

-- | Produces a (possibly) empty list of all the possible immediate shrinks
--   of the given value.
--   
--   The default implementation returns the empty list, so will not try to
--   shrink the value. If your data type has no special invariants, you can
--   enable shrinking by defining shrink = genericShrink,
--   but by customising the behaviour of shrink you can often get
--   simpler counterexamples.
--   
--   Most implementations of shrink should try at least three
--   things:
--   
--   
--   
- Shrink a term to any of its immediate subterms. You can use
--   subterms to do this.
--   
- Recursively apply shrink to all immediate subterms. You can
--   use recursivelyShrink to do this.
--   
- Type-specific shrinkings such as replacing a constructor by a
--   simpler constructor.
--   
--   
--   For example, suppose we have the following implementation of binary
--   trees:
--   
--   
--   data Tree a = Nil | Branch a (Tree a) (Tree a)
--   
--   
--   We can then define shrink as follows:
--   
--   
--   shrink Nil = []
--   shrink (Branch x l r) =
--     -- shrink Branch to Nil
--     [Nil] ++
--     -- shrink to subterms
--     [l, r] ++
--     -- recursively shrink subterms
--     [Branch x' l' r' | (x', l', r') <- shrink (x, l, r)]
--   
--   
--   There are a couple of subtleties here:
--   
--   
--   
- QuickCheck tries the shrinking candidates in the order they appear
--   in the list, so we put more aggressive shrinking steps (such as
--   replacing the whole tree by Nil) before smaller ones (such as
--   recursively shrinking the subtrees).
--   
- It is tempting to write the last line as [Branch x' l' r' | x'
--   <- shrink x, l' <- shrink l, r' <- shrink r] but this is
--   the wrong thing! It will force QuickCheck to shrink x,
--   l and r in tandem, and shrinking will stop once
--   one of the three is fully shrunk.
--   
--   
--   There is a fair bit of boilerplate in the code above. We can avoid it
--   with the help of some generic functions. The function
--   genericShrink tries shrinking a term to all of its subterms
--   and, failing that, recursively shrinks the subterms. Using it, we can
--   define shrink as:
--   
--   
--   shrink x = shrinkToNil x ++ genericShrink x
--     where
--       shrinkToNil Nil = []
--       shrinkToNil (Branch _ l r) = [Nil]
--   
--   
--   genericShrink is a combination of subterms, which
--   shrinks a term to any of its subterms, and recursivelyShrink,
--   which shrinks all subterms of a term. These may be useful if you need
--   a bit more control over shrinking than genericShrink gives you.
--   
--   A final gotcha: we cannot define shrink as simply
--   shrink x = Nil:genericShrink x as this shrinks
--   Nil to Nil, and shrinking will go into an infinite
--   loop.
--   
--   If all this leaves you bewildered, you might try shrink =
--   genericShrink to begin with, after deriving
--   Generic for your type. However, if your data type has any
--   special invariants, you will need to check that genericShrink
--   can't break those invariants.
shrink :: Arbitrary a => a -> [a]

-- | Shrink a term to any of its immediate subterms, and also recursively
--   shrink all subterms.
genericShrink :: (Generic a, RecursivelyShrink (Rep a), GSubterms (Rep a) a) => a -> [a]

-- | All immediate subterms of a term.
subterms :: (Generic a, GSubterms (Rep a) a) => a -> [a]

-- | Recursively shrink all immediate subterms.
recursivelyShrink :: (Generic a, RecursivelyShrink (Rep a)) => a -> [a]

-- | Returns no shrinking alternatives.
shrinkNothing :: a -> [a]

-- | Shrink a list of values given a shrinking function for individual
--   values.
shrinkList :: (a -> [a]) -> [a] -> [[a]]

-- | Map a shrink function to another domain. This is handy if your data
--   type has special invariants, but is almost isomorphic to some
--   other type.
--   
--   
--   shrinkOrderedList :: (Ord a, Arbitrary a) => [a] -> [[a]]
--   shrinkOrderedList = shrinkMap sort id
--   
--   shrinkSet :: (Ord a, Arbitrary a) => Set a -> [Set a]
--   shrinkSet = shrinkMap fromList toList
--   
shrinkMap :: Arbitrary a => (a -> b) -> (b -> a) -> b -> [b]

-- | Non-overloaded version of shrinkMap.
shrinkMapBy :: (a -> b) -> (b -> a) -> (a -> [a]) -> b -> [b]

-- | Shrink an integral number.
shrinkIntegral :: Integral a => a -> [a]

-- | Shrink a fraction, preferring numbers with smaller numerators or
--   denominators. See also shrinkDecimal.
shrinkRealFrac :: RealFrac a => a -> [a]

-- | Shrink an element of a bounded enumeration.
--   
--   
Example
--   
--   
--   data MyEnum = E0 | E1 | E2 | E3 | E4 | E5 | E6 | E7 | E8 | E9
--      deriving (Bounded, Enum, Eq, Ord, Show)
--   
--   
--   
--   >>> shrinkBoundedEnum E9
--   [E0,E5,E7,E8]
--   
--   
--   
--   >>> shrinkBoundedEnum E5
--   [E0,E3,E4]
--   
--   
--   
--   >>> shrinkBoundedEnum E0
--   []
--   
shrinkBoundedEnum :: (Bounded a, Enum a, Eq a) => a -> [a]

-- | Shrink a real number, preferring numbers with shorter decimal
--   representations. See also shrinkRealFrac.
shrinkDecimal :: RealFrac a => a -> [a]

-- | Lifting of the Arbitrary class to unary type constructors.
class Arbitrary1 (f :: Type -> Type)
liftArbitrary :: Arbitrary1 f => Gen a -> Gen (f a)
liftShrink :: Arbitrary1 f => (a -> [a]) -> f a -> [f a]
arbitrary1 :: (Arbitrary1 f, Arbitrary a) => Gen (f a)
shrink1 :: (Arbitrary1 f, Arbitrary a) => f a -> [f a]

-- | Lifting of the Arbitrary class to binary type constructors.
class Arbitrary2 (f :: Type -> Type -> Type)
liftArbitrary2 :: Arbitrary2 f => Gen a -> Gen b -> Gen (f a b)
liftShrink2 :: Arbitrary2 f => (a -> [a]) -> (b -> [b]) -> f a b -> [f a b]
arbitrary2 :: (Arbitrary2 f, Arbitrary a, Arbitrary b) => Gen (f a b)
shrink2 :: (Arbitrary2 f, Arbitrary a, Arbitrary b) => f a b -> [f a b]

-- | A generator for values of type a.
--   
--   The third-party packages QuickCheck-GenT and
--   quickcheck-transformer provide monad transformer versions of
--   Gen.
data Gen a

-- | Generates a random element in the given inclusive range. For integral
--   and enumerated types, the specialised variants of choose below
--   run much quicker.
choose :: Random a => (a, a) -> Gen a

-- | A fast implementation of choose for Int.
chooseInt :: (Int, Int) -> Gen Int

-- | A fast implementation of choose for Integer.
chooseInteger :: (Integer, Integer) -> Gen Integer

-- | A fast implementation of choose for bounded integral types.
chooseBoundedIntegral :: (Bounded a, Integral a) => (a, a) -> Gen a

-- | A fast implementation of choose for enumerated types.
chooseEnum :: Enum a => (a, a) -> Gen a

-- | Generates a random element over the natural range of a.
chooseAny :: Random a => Gen a

-- | Randomly uses one of the given generators. The input list must be
--   non-empty.
oneof :: HasCallStack => [Gen a] -> Gen a

-- | Chooses one of the given generators, with a weighted random
--   distribution. The input list must be non-empty.
frequency :: HasCallStack => [(Int, Gen a)] -> Gen a

-- | Generates one of the given values. The input list must be non-empty.
elements :: HasCallStack => [a] -> Gen a

-- | Takes a list of elements of increasing size, and chooses among an
--   initial segment of the list. The size of this initial segment
--   increases with the size parameter. The input list must be non-empty.
growingElements :: HasCallStack => [a] -> Gen a

-- | Used to construct generators that depend on the size parameter.
--   
--   For example, listOf, which uses the size parameter as an upper
--   bound on length of lists it generates, can be defined like this:
--   
--   
--   listOf :: Gen a -> Gen [a]
--   listOf gen = sized $ \n ->
--     do k <- choose (0,n)
--        vectorOf k gen
--   
--   
--   You can also do this using getSize.
sized :: (Int -> Gen a) -> Gen a

-- | Returns the size parameter. Used to construct generators that depend
--   on the size parameter.
--   
--   For example, listOf, which uses the size parameter as an upper
--   bound on length of lists it generates, can be defined like this:
--   
--   
--   listOf :: Gen a -> Gen [a]
--   listOf gen = do
--     n <- getSize
--     k <- choose (0,n)
--     vectorOf k gen
--   
--   
--   You can also do this using sized.
getSize :: Gen Int

-- | Overrides the size parameter. Returns a generator which uses the given
--   size instead of the runtime-size parameter.
resize :: HasCallStack => Int -> Gen a -> Gen a

-- | Adjust the size parameter, by transforming it with the given function.
scale :: (Int -> Int) -> Gen a -> Gen a

-- | Generates a value that satisfies a predicate.
suchThat :: Gen a -> (a -> Bool) -> Gen a

-- | Generates a value for which the given function returns a Just,
--   and then applies the function.
suchThatMap :: Gen a -> (a -> Maybe b) -> Gen b

-- | Tries to generate a value that satisfies a predicate. If it fails to
--   do so after enough attempts, returns Nothing.
suchThatMaybe :: Gen a -> (a -> Bool) -> Gen (Maybe a)

-- | Apply a binary function to random arguments.
applyArbitrary2 :: (Arbitrary a, Arbitrary b) => (a -> b -> r) -> Gen r

-- | Apply a ternary function to random arguments.
applyArbitrary3 :: (Arbitrary a, Arbitrary b, Arbitrary c) => (a -> b -> c -> r) -> Gen r

-- | Apply a function of arity 4 to random arguments.
applyArbitrary4 :: (Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d) => (a -> b -> c -> d -> r) -> Gen r

-- | Generates a list of random length. The maximum length depends on the
--   size parameter.
listOf :: Gen a -> Gen [a]

-- | Generates a non-empty list of random length. The maximum length
--   depends on the size parameter.
listOf1 :: Gen a -> Gen [a]

-- | Generates a list of the given length.
vectorOf :: Int -> Gen a -> Gen [a]

-- | Generates a list of a given length.
vector :: Arbitrary a => Int -> Gen [a]

-- | Generates an infinite list.
infiniteListOf :: Gen a -> Gen [a]

-- | Generates an infinite list.
infiniteList :: Arbitrary a => Gen [a]

-- | Generates a random permutation of the given list.
shuffle :: [a] -> Gen [a]

-- | Generates a random subsequence of the given list.
sublistOf :: [a] -> Gen [a]

-- | Generates an ordered list.
orderedList :: (Ord a, Arbitrary a) => Gen [a]

-- | Generates an integral number. The number can be positive or negative
--   and its maximum absolute value depends on the size parameter.
arbitrarySizedIntegral :: Integral a => Gen a

-- | Generates a natural number. The number's maximum value depends on the
--   size parameter.
arbitrarySizedNatural :: Integral a => Gen a

-- | Uniformly generates a fractional number. The number can be positive or
--   negative and its maximum absolute value depends on the size parameter.
arbitrarySizedFractional :: Fractional a => Gen a

-- | Generates an integral number from a bounded domain. The number is
--   chosen from the entire range of the type, but small numbers are
--   generated more often than big numbers. Inspired by demands from Phil
--   Wadler.
arbitrarySizedBoundedIntegral :: (Bounded a, Integral a) => Gen a

-- | Generates an integral number. The number is chosen uniformly from the
--   entire range of the type. You may want to use
--   arbitrarySizedBoundedIntegral instead.
arbitraryBoundedIntegral :: (Bounded a, Integral a) => Gen a

-- | Generates an element of a bounded type. The element is chosen from the
--   entire range of the type.
arbitraryBoundedRandom :: (Bounded a, Random a) => Gen a

-- | Generates an element of a bounded enumeration.
arbitraryBoundedEnum :: (Bounded a, Enum a) => Gen a

-- | Generates any Unicode character (but not a surrogate)
arbitraryUnicodeChar :: Gen Char

-- | Generates a random ASCII character (0-127).
arbitraryASCIIChar :: Gen Char

-- | Generates a printable Unicode character.
arbitraryPrintableChar :: Gen Char

-- | Run a generator. The size passed to the generator is always 30; if you
--   want another size then you should explicitly use resize.
generate :: Gen a -> IO a

-- | Generates some example values and prints them to stdout.
sample :: Show a => Gen a -> IO ()

-- | Generates some example values.
sample' :: Gen a -> IO [a]

-- | Generation of random shrinkable, showable functions.
--   
--   To generate random values of type Fun a b, you must
--   have an instance Function a.
--   
--   See also applyFun, and Fn with GHC >= 7.8.
data Fun a b
Fun :: (a :-> b, b, Shrunk) -> (a -> b) -> Fun a b

-- | Extracts the value of a function.
--   
--   Fn is the pattern equivalent of this function.
--   
--   
--   prop :: Fun String Integer -> Bool
--   prop f = applyFun f "banana" == applyFun f "monkey"
--         || applyFun f "banana" == applyFun f "elephant"
--   
applyFun :: Fun a b -> a -> b

-- | Extracts the value of a binary function.
--   
--   Fn2 is the pattern equivalent of this function.
--   
--   
--   prop_zipWith :: Fun (Int, Bool) Char -> [Int] -> [Bool] -> Bool
--   prop_zipWith f xs ys = zipWith (applyFun2 f) xs ys == [ applyFun2 f x y | (x, y) <- zip xs ys]
--   
applyFun2 :: Fun (a, b) c -> a -> b -> c

-- | Extracts the value of a ternary function. Fn3 is the pattern
--   equivalent of this function.
applyFun3 :: Fun (a, b, c) d -> a -> b -> c -> d

-- | A modifier for testing functions.
--   
--   
--   prop :: Fun String Integer -> Bool
--   prop (Fn f) = f "banana" == f "monkey"
--              || f "banana" == f "elephant"
--   
pattern Fn :: (a -> b) -> Fun a b

-- | A modifier for testing binary functions.
--   
--   
--   prop_zipWith :: Fun (Int, Bool) Char -> [Int] -> [Bool] -> Bool
--   prop_zipWith (Fn2 f) xs ys = zipWith f xs ys == [ f x y | (x, y) <- zip xs ys]
--   
pattern Fn2 :: (a -> b -> c) -> Fun (a, b) c

-- | A modifier for testing ternary functions.
pattern Fn3 :: (a -> b -> c -> d) -> Fun (a, b, c) d

-- | The class Function a is used for random generation of
--   showable functions of type a -> b.
--   
--   There is a default implementation for function, which you can
--   use if your type has structural equality. Otherwise, you can normally
--   use functionMap or functionShow.
class Function a
function :: Function a => (a -> b) -> a :-> b
($dmfunction) :: (Function a, Generic a, GFunction (Rep a)) => (a -> b) -> a :-> b

-- | The basic building block for Function instances. Provides a
--   Function instance by mapping to and from a type that already
--   has a Function instance.
functionMap :: Function b => (a -> b) -> (b -> a) -> (a -> c) -> a :-> c

-- | Provides a Function instance for types with Show and
--   Read.
functionShow :: (Show a, Read a) => (a -> c) -> a :-> c

-- | Provides a Function instance for types with Integral.
functionIntegral :: Integral a => (a -> b) -> a :-> b

-- | Provides a Function instance for types with RealFrac.
functionRealFrac :: RealFrac a => (a -> b) -> a :-> b

-- | Provides a Function instance for types with Bounded and
--   Enum. Use only for small types (i.e. not integers): creates the
--   list [minBound..maxBound]!
functionBoundedEnum :: (Eq a, Bounded a, Enum a) => (a -> b) -> a :-> b

-- | Provides a Function instance for types isomorphic to
--   Void.
--   
--   An actual Function Void instance is defined in
--   quickcheck-instances.
functionVoid :: (forall b. () => void -> b) -> void :-> c

-- | Used for random generation of functions. You should consider using
--   Fun instead, which can show the generated functions as strings.
--   
--   If you are using a recent GHC, there is a default definition of
--   coarbitrary using genericCoarbitrary, so if your type
--   has a Generic instance it's enough to say
--   
--   
--   instance CoArbitrary MyType
--   
--   
--   You should only use genericCoarbitrary for data types where
--   equality is structural, i.e. if you can't have two different
--   representations of the same value. An example where it's not safe is
--   sets implemented using binary search trees: the same set can be
--   represented as several different trees. Here you would have to
--   explicitly define coarbitrary s = coarbitrary (toList s).
class CoArbitrary a

-- | Used to generate a function of type a -> b. The first
--   argument is a value, the second a generator. You should use
--   variant to perturb the random generator; the goal is that
--   different values for the first argument will lead to different calls
--   to variant. An example will help:
--   
--   
--   instance CoArbitrary a => CoArbitrary [a] where
--     coarbitrary []     = variant 0
--     coarbitrary (x:xs) = variant 1 . coarbitrary (x,xs)
--   
coarbitrary :: CoArbitrary a => a -> Gen b -> Gen b
($dmcoarbitrary) :: (CoArbitrary a, Generic a, GCoArbitrary (Rep a)) => a -> Gen b -> Gen b

-- | Generic CoArbitrary implementation.
genericCoarbitrary :: (Generic a, GCoArbitrary (Rep a)) => a -> Gen b -> Gen b

-- | Modifies a generator using an integer seed.
variant :: Integral n => n -> Gen a -> Gen a

-- | A coarbitrary implementation for integral numbers.
coarbitraryIntegral :: Integral a => a -> Gen b -> Gen b

-- | A coarbitrary implementation for real numbers.
coarbitraryReal :: Real a => a -> Gen b -> Gen b

-- | coarbitrary helper for lazy people :-).
coarbitraryShow :: Show a => a -> Gen b -> Gen b

-- | A coarbitrary implementation for enums.
coarbitraryEnum :: Enum a => a -> Gen b -> Gen b

-- | Combine two generator perturbing functions, for example the results of
--   calls to variant or coarbitrary.

-- | Deprecated: Use ordinary function composition instead
(><) :: (Gen a -> Gen a) -> (Gen a -> Gen a) -> Gen a -> Gen a

-- | Blind x: as x, but x does not have to be in the Show
--   class.
newtype Blind a
Blind :: a -> Blind a
[getBlind] :: Blind a -> a

-- | Fixed x: as x, but will not be shrunk.
newtype Fixed a
Fixed :: a -> Fixed a
[getFixed] :: Fixed a -> a

-- | Ordered xs: guarantees that xs is ordered.
newtype OrderedList a
Ordered :: [a] -> OrderedList a
[getOrdered] :: OrderedList a -> [a]

-- | NonEmpty xs: guarantees that xs is non-empty.
newtype NonEmptyList a
NonEmpty :: [a] -> NonEmptyList a
[getNonEmpty] :: NonEmptyList a -> [a]

-- | InfiniteList xs _: guarantees that xs is an infinite list.
--   When a counterexample is found, only prints the prefix of xs that was
--   used by the program.
--   
--   Here is a contrived example property:
--   
--   
--   prop_take_10 :: InfiniteList Char -> Bool
--   prop_take_10 (InfiniteList xs _) =
--     or [ x == 'a' | x <- take 10 xs ]
--   
--   
--   In the following counterexample, the list must start with
--   "bbbbbbbbbb" but the remaining (infinite) part can contain
--   anything:
--   
--   
--   >>> quickCheck prop_take_10
--   *** Failed! Falsified (after 1 test and 14 shrinks):
--   "bbbbbbbbbb" ++ ...
--   
data InfiniteList a
InfiniteList :: [a] -> InfiniteListInternalData a -> InfiniteList a
[getInfiniteList] :: InfiniteList a -> [a]
[infiniteListInternalData] :: InfiniteList a -> InfiniteListInternalData a

-- | Sorted xs: guarantees that xs is sorted.
newtype SortedList a
Sorted :: [a] -> SortedList a
[getSorted] :: SortedList a -> [a]

-- | Positive x: guarantees that x > 0.
newtype Positive a
Positive :: a -> Positive a
[getPositive] :: Positive a -> a

-- | Negative x: guarantees that x < 0.
newtype Negative a
Negative :: a -> Negative a
[getNegative] :: Negative a -> a

-- | NonZero x: guarantees that x /= 0.
newtype NonZero a
NonZero :: a -> NonZero a
[getNonZero] :: NonZero a -> a

-- | NonNegative x: guarantees that x >= 0.
newtype NonNegative a
NonNegative :: a -> NonNegative a
[getNonNegative] :: NonNegative a -> a

-- | NonPositive x: guarantees that x <= 0.
newtype NonPositive a
NonPositive :: a -> NonPositive a
[getNonPositive] :: NonPositive a -> a

-- | Large x: by default, QuickCheck generates Ints drawn
--   from a small range. Large Int gives you values drawn from the
--   entire range instead.
newtype Large a
Large :: a -> Large a
[getLarge] :: Large a -> a

-- | Small x: generates values of x drawn from a small
--   range. The opposite of Large.
newtype Small a
Small :: a -> Small a
[getSmall] :: Small a -> a

-- | Smart _ x: tries a different order when shrinking.
data Smart a
Smart :: Int -> a -> Smart a

-- | Shrink2 x: allows 2 shrinking steps at the same time when
--   shrinking x
newtype Shrink2 a
Shrink2 :: a -> Shrink2 a
[getShrink2] :: Shrink2 a -> a

-- | Shrinking _ x: allows for maintaining a state during
--   shrinking.
data Shrinking s a
Shrinking :: s -> a -> Shrinking s a
class ShrinkState s a
shrinkInit :: ShrinkState s a => a -> s
shrinkState :: ShrinkState s a => a -> s -> [(a, s)]

-- | ASCIIString: generates an ASCII string.
newtype ASCIIString
ASCIIString :: String -> ASCIIString
[getASCIIString] :: ASCIIString -> String

-- | UnicodeString: generates a unicode String. The string will
--   not contain surrogate pairs.
newtype UnicodeString
UnicodeString :: String -> UnicodeString
[getUnicodeString] :: UnicodeString -> String

-- | PrintableString: generates a printable unicode String. The
--   string will not contain surrogate pairs.
newtype PrintableString
PrintableString :: String -> PrintableString
[getPrintableString] :: PrintableString -> String

-- | The type of properties.
data Property

-- | The class of properties, i.e., types which QuickCheck knows how to
--   test. Typically a property will be a function returning Bool or
--   Property.
class Testable prop

-- | Convert the thing to a property.
property :: Testable prop => prop -> Property

-- | Optional; used internally in order to improve shrinking. Tests a
--   property but also quantifies over an extra value (with a custom shrink
--   and show function). The Testable instance for functions defines
--   propertyForAllShrinkShow in a way that improves shrinking.
propertyForAllShrinkShow :: Testable prop => Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> prop) -> Property

-- | Explicit universal quantification: uses an explicitly given test case
--   generator.
forAll :: (Show a, Testable prop) => Gen a -> (a -> prop) -> Property

-- | Like forAll, but tries to shrink the argument for failing test
--   cases.
forAllShrink :: (Show a, Testable prop) => Gen a -> (a -> [a]) -> (a -> prop) -> Property

-- | Like forAll, but with an explicitly given show function.
forAllShow :: Testable prop => Gen a -> (a -> String) -> (a -> prop) -> Property

-- | Like forAllShrink, but with an explicitly given show function.
forAllShrinkShow :: Testable prop => Gen a -> (a -> [a]) -> (a -> String) -> (a -> prop) -> Property

-- | Like forAll, but without printing the generated value.
forAllBlind :: Testable prop => Gen a -> (a -> prop) -> Property

-- | Like forAllShrink, but without printing the generated value.
forAllShrinkBlind :: Testable prop => Gen a -> (a -> [a]) -> (a -> prop) -> Property

-- | Shrinks the argument to a property if it fails. Shrinking is done
--   automatically for most types. This function is only needed when you
--   want to override the default behavior.
shrinking :: Testable prop => (a -> [a]) -> a -> (a -> prop) -> Property

-- | Implication for properties: The resulting property holds if the first
--   argument is False (in which case the test case is discarded),
--   or if the given property holds. Note that using implication carelessly
--   can severely skew test case distribution: consider using cover
--   to make sure that your test data is still good quality.
(==>) :: Testable prop => Bool -> prop -> Property
infixr 0 ==>

-- | If a property returns Discard, the current test case is
--   discarded, the same as if a precondition was false.
--   
--   An example is the definition of ==>:
--   
--   
--   (==>) :: Testable prop => Bool -> prop -> Property
--   False ==> _ = property Discard
--   True  ==> p = property p
--   
data Discard
Discard :: Discard

-- | A special error value. If a property evaluates discard, it
--   causes QuickCheck to discard the current test case. This can be useful
--   if you want to discard the current test case, but are somewhere you
--   can't use ==>, such as inside a generator.
discard :: a

-- | Like ==, but prints a counterexample when it fails.
(===) :: (Eq a, Show a) => a -> a -> Property
infix 4 ===

-- | Like /=, but prints a counterexample when it fails.
(=/=) :: (Eq a, Show a) => a -> a -> Property
infix 4 =/=

-- | Checks that a value is total, i.e., doesn't crash when evaluated.
total :: NFData a => a -> Property

-- | Do I/O inside a property.
--   
--   Warning: any random values generated inside of the argument to
--   ioProperty will not currently be shrunk. For best results,
--   generate all random values before calling ioProperty, or use
--   idempotentIOProperty if that is safe.
ioProperty :: Testable prop => IO prop -> Property

-- | Do I/O inside a property.
--   
--   Warning: during shrinking, the I/O may not always be re-executed.
--   Instead, the I/O may be executed once and then its result retained. If
--   this is not acceptable, use ioProperty instead.
idempotentIOProperty :: Testable prop => IO prop -> Property

-- | Prints out the generated test case every time the property is tested.
--   Only variables quantified over inside the verbose are
--   printed.
--   
--   Note: for technical reasons, the test case is printed out after
--   the property is tested. To debug a property that goes into an infinite
--   loop, use within to add a timeout instead.
verbose :: Testable prop => prop -> Property

-- | Prints out the generated test case every time the property fails,
--   including during shrinking. Only variables quantified over
--   inside the verboseShrinking are printed.
--   
--   Note: for technical reasons, the test case is printed out after
--   the property is tested. To debug a property that goes into an infinite
--   loop, use within to add a timeout instead.
verboseShrinking :: Testable prop => prop -> Property

-- | Disables shrinking for a property altogether. Only quantification
--   inside the call to noShrinking is affected.
noShrinking :: Testable prop => prop -> Property

-- | Configures how many times a property will be tested.
--   
--   For example,
--   
--   
--   quickCheck (withMaxSuccess 1000 p)
--   
--   
--   will test p up to 1000 times.
withMaxSuccess :: Testable prop => Int -> prop -> Property

-- | Considers a property failed if it does not complete within the given
--   number of microseconds.
--   
--   Note: if the property times out, variables quantified inside the
--   within will not be printed. Therefore, you should use
--   within only in the body of your property.
--   
--   Good: prop_foo a b c = within 1000000 ...
--   
--   Bad: prop_foo = within 1000000 $ \a b c -> ...
--   
--   Bad: prop_foo a b c = ...; main = quickCheck (within 1000000
--   prop_foo)
within :: Testable prop => Int -> prop -> Property

-- | Discards the test case if it does not complete within the given number
--   of microseconds. This can be useful when testing algorithms that have
--   pathological cases where they run extremely slowly.
discardAfter :: Testable prop => Int -> prop -> Property

-- | Configures how many times a property is allowed to be discarded before
--   failing.
--   
--   For example,
--   
--   
--   quickCheck (withDiscardRatio 10 p)
--   
--   
--   will allow p to fail up to 10 times per successful test.
withDiscardRatio :: Testable prop => Int -> prop -> Property

-- | Configure the maximum size a property will be tested at.
withMaxSize :: Testable prop => Int -> prop -> Property

-- | Configure the maximum number of times a property will be shrunk.
--   
--   For example,
--   
--   
--   quickCheck (withMaxShrinks 100 p)
--   
--   
--   will cause p to only attempt 100 shrinks on failure.
withMaxShrinks :: Testable prop => Int -> prop -> Property

-- | Modifies a property so that it only will be tested once. Opposite of
--   again.
once :: Testable prop => prop -> Property

-- | Modifies a property so that it will be tested repeatedly. Opposite of
--   once.
again :: Testable prop => prop -> Property

-- | Adjust the test case size for a property, by transforming it with the
--   given function.
mapSize :: Testable prop => (Int -> Int) -> prop -> Property

-- | Nondeterministic choice: p1 .&. p2 picks
--   randomly one of p1 and p2 to test. If you test the
--   property 100 times it makes 100 random choices.
(.&.) :: (Testable prop1, Testable prop2) => prop1 -> prop2 -> Property
infixr 1 .&.

-- | Conjunction: p1 .&&. p2 passes if
--   both p1 and p2 pass.
(.&&.) :: (Testable prop1, Testable prop2) => prop1 -> prop2 -> Property
infixr 1 .&&.

-- | Take the conjunction of several properties.
conjoin :: Testable prop => [prop] -> Property

-- | Disjunction: p1 .||. p2 passes unless
--   p1 and p2 simultaneously fail.
(.||.) :: (Testable prop1, Testable prop2) => prop1 -> prop2 -> Property
infixr 1 .||.

-- | Take the disjunction of several properties.
disjoin :: Testable prop => [prop] -> Property
data Witness
Wit :: a -> Witness

-- | Return a value in the witnesses field of the Result
--   returned by quickCheckResult. Witnesses are returned
--   outer-most first.
--   
--   In ghci, for example:
--   
--   
--   >>> [Wit x] <- fmap witnesses . quickCheckResult $ \ x -> witness x $ x == (0 :: Int)
--   *** Failed! Falsified (after 2 tests):
--   1
--   
--   >>> x
--   1
--   
--   >>> :t x
--   x :: Int
--   
witness :: (Typeable a, Show a, Testable prop) => a -> prop -> Property
coerceWitness :: Typeable a => Witness -> a
castWitness :: Typeable a => Witness -> Maybe a

-- | Adds the given string to the counterexample if the property fails.
counterexample :: Testable prop => String -> prop -> Property

-- | Adds the given string to the counterexample if the property fails.

-- | Deprecated: Use counterexample instead
printTestCase :: Testable prop => String -> prop -> Property

-- | Performs an IO action after the last failure of a property.
whenFail :: Testable prop => IO () -> prop -> Property

-- | Performs an IO action every time a property fails. Thus, if
--   shrinking is done, this can be used to keep track of the failures
--   along the way.
whenFail' :: Testable prop => IO () -> prop -> Property

-- | Indicates that a property is supposed to fail. QuickCheck will report
--   an error if it does not fail.
expectFailure :: Testable prop => prop -> Property

-- | Attaches a label to a test case. This is used for reporting test case
--   distribution.
--   
--   For example:
--   
--   
--   prop_reverse_reverse :: [Int] -> Property
--   prop_reverse_reverse xs =
--     label ("length of input is " ++ show (length xs)) $
--       reverse (reverse xs) === xs
--   
--   
--   
--   >>> quickCheck prop_reverse_reverse
--   +++ OK, passed 100 tests:
--   7% length of input is 7
--   6% length of input is 3
--   5% length of input is 4
--   4% length of input is 6
--   ...
--   
--   
--   Each use of label in your property results in a separate table
--   of test case distribution in the output. If this is not what you want,
--   use tabulate.
label :: Testable prop => String -> prop -> Property

-- | Attaches a label to a test case. This is used for reporting test case
--   distribution.
--   
--   
--   collect x = label (show x)
--   
--   
--   For example:
--   
--   
--   prop_reverse_reverse :: [Int] -> Property
--   prop_reverse_reverse xs =
--     collect (length xs) $
--       reverse (reverse xs) === xs
--   
--   
--   
--   >>> quickCheck prop_reverse_reverse
--   +++ OK, passed 100 tests:
--   7% 7
--   6% 3
--   5% 4
--   4% 6
--   ...
--   
--   
--   Each use of collect in your property results in a separate
--   table of test case distribution in the output. If this is not what you
--   want, use tabulate.
collect :: (Show a, Testable prop) => a -> prop -> Property

-- | Reports how many test cases satisfy a given condition.
--   
--   For example:
--   
--   
--   prop_sorted_sort :: [Int] -> Property
--   prop_sorted_sort xs =
--     sorted xs ==>
--     classify (length xs > 1) "non-trivial" $
--     sort xs === xs
--   
--   
--   
--   >>> quickCheck prop_sorted_sort
--   +++ OK, passed 100 tests (22% non-trivial).
--   
classify :: Testable prop => Bool -> String -> prop -> Property

-- | Collects information about test case distribution into a table. The
--   arguments to tabulate are the table's name and a list of values
--   associated with the current test case. After testing, QuickCheck
--   prints the frequency of all collected values. The frequencies are
--   expressed as a percentage of the total number of values collected.
--   
--   You should prefer tabulate to label when each test case
--   is associated with a varying number of values. Here is a (not terribly
--   useful) example, where the test data is a list of integers and we
--   record all values that occur in the list:
--   
--   
--   prop_sorted_sort :: [Int] -> Property
--   prop_sorted_sort xs =
--     sorted xs ==>
--     tabulate "List elements" (map show xs) $
--     sort xs === xs
--   
--   
--   
--   >>> quickCheck prop_sorted_sort
--   +++ OK, passed 100 tests; 1684 discarded.
--   
--   List elements (109 in total):
--    3.7% 0
--    3.7% 17
--    3.7% 2
--    3.7% 6
--    2.8% -6
--    2.8% -7
--   
--   
--   Here is a more useful example. We are testing a chatroom, where the
--   user can log in, log out, or send a message:
--   
--   
--   data Command = LogIn | LogOut | SendMessage String deriving (Data, Show)
--   instance Arbitrary Command where ...
--   
--   
--   There are some restrictions on command sequences; for example, the
--   user must log in before doing anything else. The function valid ::
--   [Command] -> Bool checks that a command sequence is allowed.
--   Our property then has the form:
--   
--   
--   prop_chatroom :: [Command] -> Property
--   prop_chatroom cmds =
--     valid cmds ==>
--       ...
--   
--   
--   The use of ==> may skew test case distribution. We use
--   collect to see the length of the command sequences, and
--   tabulate to get the frequencies of the individual commands:
--   
--   
--   prop_chatroom :: [Command] -> Property
--   prop_chatroom cmds =
--     wellFormed cmds LoggedOut ==>
--     'collect' (length cmds) $
--     'tabulate' "Commands" (map (show . 'Data.Data.toConstr') cmds) $
--       ...
--   
--   
--   
--   >>> quickCheckWith stdArgs{maxDiscardRatio = 1000} prop_chatroom
--   +++ OK, passed 100 tests; 2775 discarded:
--   60% 0
--   20% 1
--   15% 2
--    3% 3
--    1% 4
--    1% 5
--   
--   Commands (68 in total):
--   62% LogIn
--   22% SendMessage
--   16% LogOut
--   
tabulate :: Testable prop => String -> [String] -> prop -> Property

-- | Checks that at least the given proportion of successful test
--   cases belong to the given class. Discarded tests (i.e. ones with a
--   false precondition) do not affect coverage.
--   
--   Note: If the coverage check fails, QuickCheck prints out a
--   warning, but the property does not fail. To make the property
--   fail, use checkCoverage.
--   
--   For example:
--   
--   
--   prop_sorted_sort :: [Int] -> Property
--   prop_sorted_sort xs =
--     sorted xs ==>
--     cover 50 (length xs > 1) "non-trivial" $
--     sort xs === xs
--   
--   
--   
--   >>> quickCheck prop_sorted_sort
--   +++ OK, passed 100 tests; 135 discarded (26% non-trivial).
--   
--   Only 26% non-trivial, but expected 50%
--   
cover :: Testable prop => Double -> Bool -> String -> prop -> Property

-- | Checks that the values in a given table appear a certain
--   proportion of the time. A call to coverTable table
--   [(x1, p1), ..., (xn, pn)] asserts that of the values in
--   table, x1 should appear at least p1 percent
--   of the time that table appears, x2 at least
--   p2 percent of the time that table appears, and so
--   on.
--   
--   Note: If the coverage check fails, QuickCheck prints out a
--   warning, but the property does not fail. To make the property
--   fail, use checkCoverage.
--   
--   Continuing the example from the tabular combinator...
--   
--   
--   data Command = LogIn | LogOut | SendMessage String deriving (Data, Show)
--   prop_chatroom :: [Command] -> Property
--   prop_chatroom cmds =
--     wellFormed cmds LoggedOut ==>
--     'tabulate' "Commands" (map (show . 'Data.Data.toConstr') cmds) $
--       ...
--   
--   
--   ...we can add a coverage requirement as follows, which checks that
--   LogIn, LogOut and SendMessage each occur at
--   least 25% of the time:
--   
--   
--   prop_chatroom :: [Command] -> Property
--   prop_chatroom cmds =
--     wellFormed cmds LoggedOut ==>
--     coverTable "Commands" [("LogIn", 25), ("LogOut", 25), ("SendMessage", 25)] $
--     'tabulate' "Commands" (map (show . 'Data.Data.toConstr') cmds) $
--       ... property goes here ...
--   
--   
--   
--   >>> quickCheck prop_chatroom
--   +++ OK, passed 100 tests; 2909 discarded:
--   56% 0
--   17% 1
--   10% 2
--    6% 3
--    5% 4
--    3% 5
--    3% 7
--   
--   Commands (111 in total):
--   51.4% LogIn
--   30.6% SendMessage
--   18.0% LogOut
--   
--   Table 'Commands' had only 18.0% LogOut, but expected 25.0%
--   
coverTable :: Testable prop => String -> [(String, Double)] -> prop -> Property

-- | Check that all coverage requirements defined by cover and
--   coverTable are met, using a statistically sound test, and fail
--   if they are not met.
--   
--   Ordinarily, a failed coverage check does not cause the property to
--   fail. This is because the coverage requirement is not tested in a
--   statistically sound way. If you use cover to express that a
--   certain value must appear 20% of the time, QuickCheck will warn you if
--   the value only appears in 19 out of 100 test cases - but since the
--   coverage varies randomly, you may have just been unlucky, and there
--   may not be any real problem with your test generation.
--   
--   When you use checkCoverage, QuickCheck uses a statistical test
--   to account for the role of luck in coverage failures. It will run as
--   many tests as needed until it is sure about whether the coverage
--   requirements are met. If a coverage requirement is not met, the
--   property fails.
--   
--   Example:
--   
--   
--   quickCheck (checkCoverage prop_foo)
--   
checkCoverage :: Testable prop => prop -> Property

-- | Check coverage requirements using a custom confidence level. See
--   stdConfidence.
--   
--   An example of making the statistical test less stringent in order to
--   improve performance:
--   
--   
--   quickCheck (checkCoverageWith stdConfidence{certainty = 10^6} prop_foo)
--   
checkCoverageWith :: Testable prop => Confidence -> prop -> Property

-- | The statistical parameters used by checkCoverage.
data Confidence
Confidence :: Integer -> Double -> Confidence

-- | How certain checkCoverage must be before the property fails.
--   If the coverage requirement is met, and the certainty parameter is
--   n, then you should get a false positive at most one in
--   n runs of QuickCheck. The default value is 10^9.
--   
--   Lower values will speed up checkCoverage at the cost of false
--   positives.
--   
--   If you are using checkCoverage as part of a test suite, you
--   should be careful not to set certainty too low. If you want,
--   say, a 1% chance of a false positive during a project's lifetime, then
--   certainty should be set to at least 100 * m * n,
--   where m is the number of uses of cover in the test
--   suite, and n is the number of times you expect the test suite
--   to be run during the project's lifetime. The default value is chosen
--   to be big enough for most projects.
[certainty] :: Confidence -> Integer

-- | For statistical reasons, checkCoverage will not reject
--   coverage levels that are only slightly below the required levels. If
--   the required level is p then an actual level of tolerance
--   * p will be accepted. The default value is 0.9.
--   
--   Lower values will speed up checkCoverage at the cost of not
--   detecting minor coverage violations.
[tolerance] :: Confidence -> Double

-- | The standard parameters used by checkCoverage: certainty =
--   10^9, tolerance = 0.9. See Confidence for the
--   meaning of the parameters.
stdConfidence :: Confidence

-- | Given a property, which must use label, collect,
--   classify or cover to associate labels with test cases,
--   find an example test case for each possible label. The example test
--   cases are minimised using shrinking.
--   
--   For example, suppose we test delete x xs and record
--   the number of times that x occurs in xs:
--   
--   
--   prop_delete :: Int -> [Int] -> Property
--   prop_delete x xs =
--     classify (count x xs == 0) "count x xs == 0" $
--     classify (count x xs == 1) "count x xs == 1" $
--     classify (count x xs >= 2) "count x xs >= 2" $
--     counterexample (show (delete x xs)) $
--     count x (delete x xs) == max 0 (count x xs-1)
--     where count x xs = length (filter (== x) xs)
--   
--   
--   labelledExamples generates three example test cases, one for
--   each label:
--   
--   
--   >>> labelledExamples prop_delete
--   *** Found example of count x xs == 0
--   0
--   []
--   []
--   
--   *** Found example of count x xs == 1
--   0
--   [0]
--   []
--   
--   *** Found example of count x xs >= 2
--   5
--   [5,5]
--   [5]
--   
--   +++ OK, passed 100 tests:
--   78% count x xs == 0
--   21% count x xs == 1
--    1% count x xs >= 2
--   
labelledExamples :: Testable prop => prop -> IO ()

-- | A variant of labelledExamples that takes test arguments.
labelledExamplesWith :: Testable prop => Args -> prop -> IO ()

-- | A variant of labelledExamples that takes test arguments and
--   returns a result.
labelledExamplesWithResult :: Testable prop => Args -> prop -> IO Result

-- | A variant of labelledExamples that returns a result.
labelledExamplesResult :: Testable prop => prop -> IO Result
