massiv-test-1.1.0.1: Library that contains generators, properties and tests for Massiv Array Library.
Safe HaskellSafe-Inferred
LanguageHaskell2010

Test.Massiv.Utils

Synopsis

Documentation

showsType :: forall t. Typeable t => ShowS Source #

Use Typeable to show the type.

showsArrayType :: forall r ix e. (Typeable r, Typeable ix, Typeable e) => ShowS Source #

Use Typeable to show the array type

assertDeepException #

Arguments

:: (NFData a, Exception exc) 
=> (exc -> Bool)

Return True if that is the exception that was expected

-> a

Value that should result in an exception, when fully evaluated to NF

-> 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.

assertDeepExceptionIO #

Arguments

:: (NFData a, Exception exc) 
=> (exc -> Bool)

Return True if that is the exception that was expected

-> IO a

An action that should throw the expected exception

-> Property 

Make sure that a specific exception is thrown during an IO action. The result is evaluated to NF.

applyFun2Compat :: Fun (a, b) c -> a -> b -> c Source #

expectProp :: Expectation -> Property Source #

Convert an hspec Expectation to a quickcheck Property.

Since: 1.5.0

propIO :: Testable a => IO a -> Property Source #

Convert a Testable to a quickcheck Property. Works well with hspec expectations as well

Since: 1.7.0

Epsilon comparison

epsilonExpect Source #

Arguments

:: (HasCallStack, Show a, RealFloat a) 
=> a

Epsilon, a maximum tolerated error. Sign is ignored.

-> a

Expected result.

-> a

Tested value.

-> Expectation 

epsilonFoldableExpect :: (HasCallStack, Foldable f, Show (f e), Show e, RealFloat e) => e -> f e -> f e -> Expectation Source #

epsilonMaybeEq Source #

Arguments

:: (Show a, RealFloat a) 
=> a

Epsilon, a maximum tolerated error. Sign is ignored.

-> a

Expected result.

-> a

Tested value.

-> Maybe String 

epsilonEq Source #

Arguments

:: (Show a, RealFloat a) 
=> a

Epsilon, a maximum tolerated error. Sign is ignored.

-> a

Expected result.

-> a

Tested value.

-> Property 

epsilonEqDouble Source #

Arguments

:: Double

Expected result.

-> Double

Tested value.

-> Property 

epsilonEqFloat Source #

Arguments

:: Float

Expected result.

-> Float

Tested value.

-> Property 

data Result #

Result represents the test result

Constructors

Success

A successful test run

Fields

GaveUp

Given up

Fields

Failure

A failed test run

Fields

NoExpectedFailure

A property that should have failed did not

Fields

Instances

Instances details
Show Result 
Instance details

Defined in Test.QuickCheck.Test

class Testable prop where #

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

Minimal complete definition

property

Methods

property :: prop -> Property #

Convert the thing to a property.

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> 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.

Instances

Instances details
Testable Discard 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Discard -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Discard) -> Property #

Testable Prop 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Prop -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Prop) -> Property #

Testable Property 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Property -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Property) -> Property #

Testable Result 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Result -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Result) -> Property #

Testable () 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: () -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> ()) -> Property #

Testable Bool 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Bool -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Bool) -> Property #

Testable prop => Testable (Gen prop) 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Gen prop -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Gen prop) -> Property #

Testable prop => Testable (Maybe prop) 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Maybe prop -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Maybe prop) -> Property #

(Arbitrary a, Show a, Testable prop) => Testable (a -> prop) 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: (a -> prop) -> Property #

propertyForAllShrinkShow :: Gen a0 -> (a0 -> [a0]) -> (a0 -> [String]) -> (a0 -> a -> prop) -> Property #

data RealWorld #

RealWorld is deeply magical. It is primitive, but it is not unlifted (hence ptrArg). We never manipulate values of type RealWorld; it's only used in the type system, to parameterise State#.

data TyCon #

Instances

Instances details
Show TyCon

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> TyCon -> ShowS #

show :: TyCon -> String #

showList :: [TyCon] -> ShowS #

NFData TyCon

NOTE: Prior to deepseq-1.4.4.0 this instance was only defined for base-4.8.0.0 and later.

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: TyCon -> () #

Eq TyCon 
Instance details

Defined in GHC.Classes

Methods

(==) :: TyCon -> TyCon -> Bool #

(/=) :: TyCon -> TyCon -> Bool #

Ord TyCon 
Instance details

Defined in GHC.Classes

Methods

compare :: TyCon -> TyCon -> Ordering #

(<) :: TyCon -> TyCon -> Bool #

(<=) :: TyCon -> TyCon -> Bool #

(>) :: TyCon -> TyCon -> Bool #

(>=) :: TyCon -> TyCon -> Bool #

max :: TyCon -> TyCon -> TyCon #

min :: TyCon -> TyCon -> TyCon #

class Functor (f :: Type -> Type) where #

A type f is a Functor if it provides a function fmap which, given any types a and b lets you apply any function from (a -> b) to turn an f a into an f b, preserving the structure of f. Furthermore f needs to adhere to the following:

Identity
fmap id == id
Composition
fmap (f . g) == fmap f . fmap g

Note, that the second law follows from the free theorem of the type fmap and the first law, so you need only check that the former condition holds. See https://www.schoolofhaskell.com/user/edwardk/snippets/fmap or https://github.com/quchen/articles/blob/master/second_functor_law.md for an explanation.

Minimal complete definition

fmap

Methods

fmap :: (a -> b) -> f a -> f b #

fmap is used to apply a function of type (a -> b) to a value of type f a, where f is a functor, to produce a value of type f b. Note that for any type constructor with more than one parameter (e.g., Either), only the last type parameter can be modified with fmap (e.g., b in `Either a b`).

Some type constructors with two parameters or more have a Bifunctor instance that allows both the last and the penultimate parameters to be mapped over.

Examples

Expand

Convert from a Maybe Int to a Maybe String using show:

>>> fmap show Nothing
Nothing
>>> fmap show (Just 3)
Just "3"

Convert from an Either Int Int to an Either Int String using show:

>>> fmap show (Left 17)
Left 17
>>> fmap show (Right 17)
Right "17"

Double each element of a list:

>>> fmap (*2) [1,2,3]
[2,4,6]

Apply even to the second element of a pair:

>>> fmap even (2,2)
(2,True)

It may seem surprising that the function is only applied to the last element of the tuple compared to the list example above which applies it to every element in the list. To understand, remember that tuples are type constructors with multiple type parameters: a tuple of 3 elements (a,b,c) can also be written (,,) a b c and its Functor instance is defined for Functor ((,,) a b) (i.e., only the third parameter is free to be mapped over with fmap).

It explains why fmap can be used with tuples containing values of different types as in the following example:

>>> fmap even ("hello", 1.0, 4)
("hello",1.0,True)

(<$) :: a -> f b -> f a infixl 4 #

Replace all locations in the input with the same value. The default definition is fmap . const, but this may be overridden with a more efficient version.

Examples

Expand

Perform a computation with Maybe and replace the result with a constant value if it is Just:

>>> 'a' <$ Just 2
Just 'a'
>>> 'a' <$ Nothing
Nothing

Instances

Instances details
Functor Gen 
Instance details

Defined in Test.QuickCheck.Gen

Methods

fmap :: (a -> b) -> Gen a -> Gen b #

(<$) :: a -> Gen b -> Gen a #

Functor Blind 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Blind a -> Blind b #

(<$) :: a -> Blind b -> Blind a #

Functor Fixed 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Fixed a -> Fixed b #

(<$) :: a -> Fixed b -> Fixed a #

Functor Large 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Large a -> Large b #

(<$) :: a -> Large b -> Large a #

Functor Negative 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Negative a -> Negative b #

(<$) :: a -> Negative b -> Negative a #

Functor NonEmptyList 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> NonEmptyList a -> NonEmptyList b #

(<$) :: a -> NonEmptyList b -> NonEmptyList a #

Functor NonNegative 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> NonNegative a -> NonNegative b #

(<$) :: a -> NonNegative b -> NonNegative a #

Functor NonPositive 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> NonPositive a -> NonPositive b #

(<$) :: a -> NonPositive b -> NonPositive a #

Functor NonZero 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> NonZero a -> NonZero b #

(<$) :: a -> NonZero b -> NonZero a #

Functor OrderedList 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> OrderedList a -> OrderedList b #

(<$) :: a -> OrderedList b -> OrderedList a #

Functor Positive 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Positive a -> Positive b #

(<$) :: a -> Positive b -> Positive a #

Functor Shrink2 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Shrink2 a -> Shrink2 b #

(<$) :: a -> Shrink2 b -> Shrink2 a #

Functor Small 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Small a -> Small b #

(<$) :: a -> Small b -> Small a #

Functor Smart 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Smart a -> Smart b #

(<$) :: a -> Smart b -> Smart a #

Functor SortedList 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> SortedList a -> SortedList b #

(<$) :: a -> SortedList b -> SortedList a #

Functor Rose 
Instance details

Defined in Test.QuickCheck.Property

Methods

fmap :: (a -> b) -> Rose a -> Rose b #

(<$) :: a -> Rose b -> Rose a #

Functor Async 
Instance details

Defined in Control.Concurrent.Async.Internal

Methods

fmap :: (a -> b) -> Async a -> Async b #

(<$) :: a -> Async b -> Async a #

Functor Concurrently 
Instance details

Defined in Control.Concurrent.Async.Internal

Methods

fmap :: (a -> b) -> Concurrently a -> Concurrently b #

(<$) :: a -> Concurrently b -> Concurrently a #

Functor Handler

Since: base-4.6.0.0

Instance details

Defined in Control.Exception

Methods

fmap :: (a -> b) -> Handler a -> Handler b #

(<$) :: a -> Handler b -> Handler a #

Functor Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

fmap :: (a -> b) -> Identity a -> Identity b #

(<$) :: a -> Identity b -> Identity a #

Functor NonEmpty

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> NonEmpty a -> NonEmpty b #

(<$) :: a -> NonEmpty b -> NonEmpty a #

Functor Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Par1 a -> Par1 b #

(<$) :: a -> Par1 b -> Par1 a #

Functor P

Since: base-4.8.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fmap :: (a -> b) -> P a -> P b #

(<$) :: a -> P b -> P a #

Functor ReadP

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fmap :: (a -> b) -> ReadP a -> ReadP b #

(<$) :: a -> ReadP b -> ReadP a #

Functor IntMap 
Instance details

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> IntMap a -> IntMap b #

(<$) :: a -> IntMap b -> IntMap a #

Functor Digit 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Digit a -> Digit b #

(<$) :: a -> Digit b -> Digit a #

Functor Elem 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Elem a -> Elem b #

(<$) :: a -> Elem b -> Elem a #

Functor FingerTree 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> FingerTree a -> FingerTree b #

(<$) :: a -> FingerTree b -> FingerTree a #

Functor Node 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Node a -> Node b #

(<$) :: a -> Node b -> Node a #

Functor Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Seq a -> Seq b #

(<$) :: a -> Seq b -> Seq a #

Functor ViewL 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> ViewL a -> ViewL b #

(<$) :: a -> ViewL b -> ViewL a #

Functor ViewR 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> ViewR a -> ViewR b #

(<$) :: a -> ViewR b -> ViewR a #

Functor Tree 
Instance details

Defined in Data.Tree

Methods

fmap :: (a -> b) -> Tree a -> Tree b #

(<$) :: a -> Tree b -> Tree a #

Functor IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> IO a -> IO b #

(<$) :: a -> IO b -> IO a #

Functor AnnotDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fmap :: (a -> b) -> AnnotDetails a -> AnnotDetails b #

(<$) :: a -> AnnotDetails b -> AnnotDetails a #

Functor Doc 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fmap :: (a -> b) -> Doc a -> Doc b #

(<$) :: a -> Doc b -> Doc a #

Functor Span 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fmap :: (a -> b) -> Span a -> Span b #

(<$) :: a -> Span b -> Span a #

Functor Array 
Instance details

Defined in Data.Primitive.Array

Methods

fmap :: (a -> b) -> Array a -> Array b #

(<$) :: a -> Array b -> Array a #

Functor SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

fmap :: (a -> b) -> SmallArray a -> SmallArray b #

(<$) :: a -> SmallArray b -> SmallArray a #

Functor Triple 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

fmap :: (a -> b) -> Triple a -> Triple b #

(<$) :: a -> Triple b -> Triple a #

Functor Results 
Instance details

Defined in Control.Scheduler.Types

Methods

fmap :: (a -> b) -> Results a -> Results b #

(<$) :: a -> Results b -> Results a #

Functor Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

fmap :: (a -> b) -> Q a -> Q b #

(<$) :: a -> Q b -> Q a #

Functor TyVarBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

fmap :: (a -> b) -> TyVarBndr a -> TyVarBndr b #

(<$) :: a -> TyVarBndr b -> TyVarBndr a #

Functor Flat 
Instance details

Defined in UnliftIO.Internals.Async

Methods

fmap :: (a -> b) -> Flat a -> Flat b #

(<$) :: a -> Flat b -> Flat a #

Functor FlatApp 
Instance details

Defined in UnliftIO.Internals.Async

Methods

fmap :: (a -> b) -> FlatApp a -> FlatApp b #

(<$) :: a -> FlatApp b -> FlatApp a #

Functor Vector 
Instance details

Defined in Data.Vector

Methods

fmap :: (a -> b) -> Vector a -> Vector b #

(<$) :: a -> Vector b -> Vector a #

Functor Id 
Instance details

Defined in Data.Vector.Fusion.Util

Methods

fmap :: (a -> b) -> Id a -> Id b #

(<$) :: a -> Id b -> Id a #

Functor Vector 
Instance details

Defined in Data.Vector.Strict

Methods

fmap :: (a -> b) -> Vector a -> Vector b #

(<$) :: a -> Vector b -> Vector a #

Functor Box 
Instance details

Defined in Data.Stream.Monadic

Methods

fmap :: (a -> b) -> Box a -> Box b #

(<$) :: a -> Box b -> Box a #

Functor Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> Maybe a -> Maybe b #

(<$) :: a -> Maybe b -> Maybe a #

Functor Solo

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> Solo a -> Solo b #

(<$) :: a -> Solo b -> Solo a #

Functor List

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> [a] -> [b] #

(<$) :: a -> [b] -> [a] #

Functor ((:->) a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

fmap :: (a0 -> b) -> (a :-> a0) -> a :-> b #

(<$) :: a0 -> (a :-> b) -> a :-> a0 #

Functor (Fun a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

fmap :: (a0 -> b) -> Fun a a0 -> Fun a b #

(<$) :: a0 -> Fun a b -> Fun a a0 #

Functor (Shrinking s) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Shrinking s a -> Shrinking s b #

(<$) :: a -> Shrinking s b -> Shrinking s a #

Functor (PropertyM m) 
Instance details

Defined in Test.QuickCheck.Monadic

Methods

fmap :: (a -> b) -> PropertyM m a -> PropertyM m b #

(<$) :: a -> PropertyM m b -> PropertyM m a #

Functor (ConcurrentlyE e) 
Instance details

Defined in Control.Concurrent.Async.Internal

Methods

fmap :: (a -> b) -> ConcurrentlyE e a -> ConcurrentlyE e b #

(<$) :: a -> ConcurrentlyE e b -> ConcurrentlyE e a #

Functor (Either a)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

fmap :: (a0 -> b) -> Either a a0 -> Either a b #

(<$) :: a0 -> Either a b -> Either a a0 #

Functor (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

fmap :: (a -> b) -> Proxy a -> Proxy b #

(<$) :: a -> Proxy b -> Proxy a #

Functor (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> U1 a -> U1 b #

(<$) :: a -> U1 b -> U1 a #

Functor (V1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> V1 a -> V1 b #

(<$) :: a -> V1 b -> V1 a #

Functor (ST s)

Since: base-2.1

Instance details

Defined in GHC.ST

Methods

fmap :: (a -> b) -> ST s a -> ST s b #

(<$) :: a -> ST s b -> ST s a #

Functor (Map k) 
Instance details

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> Map k a -> Map k b #

(<$) :: a -> Map k b -> Map k a #

Monad m => Functor (Handler m) 
Instance details

Defined in Control.Monad.Catch

Methods

fmap :: (a -> b) -> Handler m a -> Handler m b #

(<$) :: a -> Handler m b -> Handler m a #

Functor (SpecM a) 
Instance details

Defined in Test.Hspec.Core.Spec.Monad

Methods

fmap :: (a0 -> b) -> SpecM a a0 -> SpecM a b #

(<$) :: a0 -> SpecM a b -> SpecM a a0 #

Functor (Window ix) 
Instance details

Defined in Data.Massiv.Array.Delayed.Windowed

Methods

fmap :: (a -> b) -> Window ix a -> Window ix b #

(<$) :: a -> Window ix b -> Window ix a #

Functor (PrefIndex ix) 
Instance details

Defined in Data.Massiv.Core.Common

Methods

fmap :: (a -> b) -> PrefIndex ix a -> PrefIndex ix b #

(<$) :: a -> PrefIndex ix b -> PrefIndex ix a #

Functor m => Functor (Conc m) 
Instance details

Defined in UnliftIO.Internals.Async

Methods

fmap :: (a -> b) -> Conc m a -> Conc m b #

(<$) :: a -> Conc m b -> Conc m a #

Monad m => Functor (Concurrently m)

Since: unliftio-0.1.0.0

Instance details

Defined in UnliftIO.Internals.Async

Methods

fmap :: (a -> b) -> Concurrently m a -> Concurrently m b #

(<$) :: a -> Concurrently m b -> Concurrently m a #

Functor (Step s) 
Instance details

Defined in Data.Stream.Monadic

Methods

fmap :: (a -> b) -> Step s a -> Step s b #

(<$) :: a -> Step s b -> Step s a #

Monad m => Functor (Stream m) 
Instance details

Defined in Data.Stream.Monadic

Methods

fmap :: (a -> b) -> Stream m a -> Stream m b #

(<$) :: a -> Stream m b -> Stream m a #

Functor ((,) a)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b) -> (a, a0) -> (a, b) #

(<$) :: a0 -> (a, b) -> (a, a0) #

(Generic1 f, Functor (Rep1 f)) => Functor (Generically1 f)

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Generically1 f a -> Generically1 f b #

(<$) :: a -> Generically1 f b -> Generically1 f a #

Functor f => Functor (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Rec1 f a -> Rec1 f b #

(<$) :: a -> Rec1 f b -> Rec1 f a #

Functor (URec (Ptr ()) :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b #

(<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a #

Functor (URec Char :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b #

(<$) :: a -> URec Char b -> URec Char a #

Functor (URec Double :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b #

(<$) :: a -> URec Double b -> URec Double a #

Functor (URec Float :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b #

(<$) :: a -> URec Float b -> URec Float a #

Functor (URec Int :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b #

(<$) :: a -> URec Int b -> URec Int a #

Functor (URec Word :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b #

(<$) :: a -> URec Word b -> URec Word a #

(Applicative f, Monad f) => Functor (WhenMissing f x)

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b #

(<$) :: a -> WhenMissing f x b -> WhenMissing f x a #

Functor (Stencil ix e) 
Instance details

Defined in Data.Massiv.Array.Stencil.Internal

Methods

fmap :: (a -> b) -> Stencil ix e a -> Stencil ix e b #

(<$) :: a -> Stencil ix e b -> Stencil ix e a #

Functor (Array DI ix) 
Instance details

Defined in Data.Massiv.Array.Delayed.Interleaved

Methods

fmap :: (a -> b) -> Array DI ix a -> Array DI ix b #

(<$) :: a -> Array DI ix b -> Array DI ix a #

Functor (Array D ix) 
Instance details

Defined in Data.Massiv.Array.Delayed.Pull

Methods

fmap :: (a -> b) -> Array D ix a -> Array D ix b #

(<$) :: a -> Array D ix b -> Array D ix a #

Index ix => Functor (Array DL ix) 
Instance details

Defined in Data.Massiv.Array.Delayed.Push

Methods

fmap :: (a -> b) -> Array DL ix a -> Array DL ix b #

(<$) :: a -> Array DL ix b -> Array DL ix a #

Functor (Array DS Ix1) 
Instance details

Defined in Data.Massiv.Array.Delayed.Stream

Methods

fmap :: (a -> b) -> Array DS Ix1 a -> Array DS Ix1 b #

(<$) :: a -> Array DS Ix1 b -> Array DS Ix1 a #

Functor (Array DW ix) 
Instance details

Defined in Data.Massiv.Array.Delayed.Windowed

Methods

fmap :: (a -> b) -> Array DW ix a -> Array DW ix b #

(<$) :: a -> Array DW ix b -> Array DW ix a #

Index ix => Functor (Array B ix) 
Instance details

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

fmap :: (a -> b) -> Array B ix a -> Array B ix b #

(<$) :: a -> Array B ix b -> Array B ix a #

Index ix => Functor (Array BL ix) 
Instance details

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

fmap :: (a -> b) -> Array BL ix a -> Array BL ix b #

(<$) :: a -> Array BL ix b -> Array BL ix a #

Functor m => Functor (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

fmap :: (a -> b) -> AccumT w m a -> AccumT w m b #

(<$) :: a -> AccumT w m b -> AccumT w m a #

Functor m => Functor (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

fmap :: (a -> b) -> SelectT r m a -> SelectT r m b #

(<$) :: a -> SelectT r m b -> SelectT r m a #

Functor m => Functor (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

fmap :: (a -> b) -> WriterT w m a -> WriterT w m b #

(<$) :: a -> WriterT w m b -> WriterT w m a #

Functor (Constant a :: Type -> Type) 
Instance details

Defined in Data.Functor.Constant

Methods

fmap :: (a0 -> b) -> Constant a a0 -> Constant a b #

(<$) :: a0 -> Constant a b -> Constant a a0 #

Functor ((,,) a b)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, a0) -> (a, b, b0) #

(<$) :: a0 -> (a, b, b0) -> (a, b, a0) #

(Functor f, Functor g) => Functor (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :*: g) a -> (f :*: g) b #

(<$) :: a -> (f :*: g) b -> (f :*: g) a #

(Functor f, Functor g) => Functor (f :+: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b #

(<$) :: a -> (f :+: g) b -> (f :+: g) a #

Functor (K1 i c :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> K1 i c a -> K1 i c b #

(<$) :: a -> K1 i c b -> K1 i c a #

Functor f => Functor (WhenMatched f x y)

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b #

(<$) :: a -> WhenMatched f x y b -> WhenMatched f x y a #

(Applicative f, Monad f) => Functor (WhenMissing f k x)

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b #

(<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a #

Functor ((,,,) a b c)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) #

(<$) :: a0 -> (a, b, c, b0) -> (a, b, c, a0) #

Functor ((->) r)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> (r -> a) -> r -> b #

(<$) :: a -> (r -> b) -> r -> a #

(Functor f, Functor g) => Functor (f :.: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b #

(<$) :: a -> (f :.: g) b -> (f :.: g) a #

Functor f => Functor (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> M1 i c f a -> M1 i c f b #

(<$) :: a -> M1 i c f b -> M1 i c f a #

Functor f => Functor (WhenMatched f k x y)

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b #

(<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a #

Functor m => Functor (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b #

(<$) :: a -> RWST r w s m b -> RWST r w s m a #

Functor ((,,,,) a b c d)

Since: base-4.18.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, d, a0) -> (a, b, c, d, b0) #

(<$) :: a0 -> (a, b, c, d, b0) -> (a, b, c, d, a0) #

Functor ((,,,,,) a b c d e)

Since: base-4.18.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, d, e, a0) -> (a, b, c, d, e, b0) #

(<$) :: a0 -> (a, b, c, d, e, b0) -> (a, b, c, d, e, a0) #

Functor ((,,,,,,) a b c d e f)

Since: base-4.18.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, d, e, f, a0) -> (a, b, c, d, e, f, b0) #

(<$) :: a0 -> (a, b, c, d, e, f, b0) -> (a, b, c, d, e, f, a0) #

class Applicative m => Monad (m :: Type -> Type) where #

The Monad class defines the basic operations over a monad, a concept from a branch of mathematics known as category theory. From the perspective of a Haskell programmer, however, it is best to think of a monad as an abstract datatype of actions. Haskell's do expressions provide a convenient syntax for writing monadic expressions.

Instances of Monad should satisfy the following:

Left identity
return a >>= k = k a
Right identity
m >>= return = m
Associativity
m >>= (\x -> k x >>= h) = (m >>= k) >>= h

Furthermore, the Monad and Applicative operations should relate as follows:

The above laws imply:

and that pure and (<*>) satisfy the applicative functor laws.

The instances of Monad for lists, Maybe and IO defined in the Prelude satisfy these laws.

Minimal complete definition

(>>=)

Methods

(>>=) :: m a -> (a -> m b) -> m b infixl 1 #

Sequentially compose two actions, passing any value produced by the first as an argument to the second.

'as >>= bs' can be understood as the do expression

do a <- as
   bs a

(>>) :: m a -> m b -> m b infixl 1 #

Sequentially compose two actions, discarding any value produced by the first, like sequencing operators (such as the semicolon) in imperative languages.

'as >> bs' can be understood as the do expression

do as
   bs

return :: a -> m a #

Inject a value into the monadic type.

Instances

Instances details
Monad Gen 
Instance details

Defined in Test.QuickCheck.Gen

Methods

(>>=) :: Gen a -> (a -> Gen b) -> Gen b #

(>>) :: Gen a -> Gen b -> Gen b #

return :: a -> Gen a #

Monad Rose 
Instance details

Defined in Test.QuickCheck.Property

Methods

(>>=) :: Rose a -> (a -> Rose b) -> Rose b #

(>>) :: Rose a -> Rose b -> Rose b #

return :: a -> Rose a #

Monad Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

(>>=) :: Identity a -> (a -> Identity b) -> Identity b #

(>>) :: Identity a -> Identity b -> Identity b #

return :: a -> Identity a #

Monad NonEmpty

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b #

(>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b #

return :: a -> NonEmpty a #

Monad Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Par1 a -> (a -> Par1 b) -> Par1 b #

(>>) :: Par1 a -> Par1 b -> Par1 b #

return :: a -> Par1 a #

Monad P

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

(>>=) :: P a -> (a -> P b) -> P b #

(>>) :: P a -> P b -> P b #

return :: a -> P a #

Monad ReadP

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

(>>=) :: ReadP a -> (a -> ReadP b) -> ReadP b #

(>>) :: ReadP a -> ReadP b -> ReadP b #

return :: a -> ReadP a #

Monad Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

(>>=) :: Seq a -> (a -> Seq b) -> Seq b #

(>>) :: Seq a -> Seq b -> Seq b #

return :: a -> Seq a #

Monad Tree 
Instance details

Defined in Data.Tree

Methods

(>>=) :: Tree a -> (a -> Tree b) -> Tree b #

(>>) :: Tree a -> Tree b -> Tree b #

return :: a -> Tree a #

Monad IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: IO a -> (a -> IO b) -> IO b #

(>>) :: IO a -> IO b -> IO b #

return :: a -> IO a #

Monad Array 
Instance details

Defined in Data.Primitive.Array

Methods

(>>=) :: Array a -> (a -> Array b) -> Array b #

(>>) :: Array a -> Array b -> Array b #

return :: a -> Array a #

Monad SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

(>>=) :: SmallArray a -> (a -> SmallArray b) -> SmallArray b #

(>>) :: SmallArray a -> SmallArray b -> SmallArray b #

return :: a -> SmallArray a #

Monad Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(>>=) :: Q a -> (a -> Q b) -> Q b #

(>>) :: Q a -> Q b -> Q b #

return :: a -> Q a #

Monad Vector 
Instance details

Defined in Data.Vector

Methods

(>>=) :: Vector a -> (a -> Vector b) -> Vector b #

(>>) :: Vector a -> Vector b -> Vector b #

return :: a -> Vector a #

Monad Id 
Instance details

Defined in Data.Vector.Fusion.Util

Methods

(>>=) :: Id a -> (a -> Id b) -> Id b #

(>>) :: Id a -> Id b -> Id b #

return :: a -> Id a #

Monad Vector 
Instance details

Defined in Data.Vector.Strict

Methods

(>>=) :: Vector a -> (a -> Vector b) -> Vector b #

(>>) :: Vector a -> Vector b -> Vector b #

return :: a -> Vector a #

Monad Box 
Instance details

Defined in Data.Stream.Monadic

Methods

(>>=) :: Box a -> (a -> Box b) -> Box b #

(>>) :: Box a -> Box b -> Box b #

return :: a -> Box a #

Monad Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b #

(>>) :: Maybe a -> Maybe b -> Maybe b #

return :: a -> Maybe a #

Monad Solo

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

(>>=) :: Solo a -> (a -> Solo b) -> Solo b #

(>>) :: Solo a -> Solo b -> Solo b #

return :: a -> Solo a #

Monad List

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: [a] -> (a -> [b]) -> [b] #

(>>) :: [a] -> [b] -> [b] #

return :: a -> [a] #

Monad m => Monad (PropertyM m) 
Instance details

Defined in Test.QuickCheck.Monadic

Methods

(>>=) :: PropertyM m a -> (a -> PropertyM m b) -> PropertyM m b #

(>>) :: PropertyM m a -> PropertyM m b -> PropertyM m b #

return :: a -> PropertyM m a #

Monad (Either e)

Since: base-4.4.0.0

Instance details

Defined in Data.Either

Methods

(>>=) :: Either e a -> (a -> Either e b) -> Either e b #

(>>) :: Either e a -> Either e b -> Either e b #

return :: a -> Either e a #

Monad (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

(>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b #

(>>) :: Proxy a -> Proxy b -> Proxy b #

return :: a -> Proxy a #

Monad (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: U1 a -> (a -> U1 b) -> U1 b #

(>>) :: U1 a -> U1 b -> U1 b #

return :: a -> U1 a #

Monad (ST s)

Since: base-2.1

Instance details

Defined in GHC.ST

Methods

(>>=) :: ST s a -> (a -> ST s b) -> ST s b #

(>>) :: ST s a -> ST s b -> ST s b #

return :: a -> ST s a #

Monad (SpecM a) 
Instance details

Defined in Test.Hspec.Core.Spec.Monad

Methods

(>>=) :: SpecM a a0 -> (a0 -> SpecM a b) -> SpecM a b #

(>>) :: SpecM a a0 -> SpecM a b -> SpecM a b #

return :: a0 -> SpecM a a0 #

Monoid a => Monad ((,) a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, a0) -> (a0 -> (a, b)) -> (a, b) #

(>>) :: (a, a0) -> (a, b) -> (a, b) #

return :: a0 -> (a, a0) #

Monad f => Monad (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b #

(>>) :: Rec1 f a -> Rec1 f b -> Rec1 f b #

return :: a -> Rec1 f a #

(Applicative f, Monad f) => Monad (WhenMissing f x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)).

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

(>>=) :: WhenMissing f x a -> (a -> WhenMissing f x b) -> WhenMissing f x b #

(>>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b #

return :: a -> WhenMissing f x a #

Monad (Array DS Ix1) 
Instance details

Defined in Data.Massiv.Array.Delayed.Stream

Methods

(>>=) :: Array DS Ix1 a -> (a -> Array DS Ix1 b) -> Array DS Ix1 b #

(>>) :: Array DS Ix1 a -> Array DS Ix1 b -> Array DS Ix1 b #

return :: a -> Array DS Ix1 a #

(Monoid w, Functor m, Monad m) => Monad (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

(>>=) :: AccumT w m a -> (a -> AccumT w m b) -> AccumT w m b #

(>>) :: AccumT w m a -> AccumT w m b -> AccumT w m b #

return :: a -> AccumT w m a #

Monad m => Monad (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

(>>=) :: SelectT r m a -> (a -> SelectT r m b) -> SelectT r m b #

(>>) :: SelectT r m a -> SelectT r m b -> SelectT r m b #

return :: a -> SelectT r m a #

Monad m => Monad (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

(>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b #

(>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b #

return :: a -> WriterT w m a #

(Monoid a, Monoid b) => Monad ((,,) a b)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, b, a0) -> (a0 -> (a, b, b0)) -> (a, b, b0) #

(>>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0) #

return :: a0 -> (a, b, a0) #

(Monad f, Monad g) => Monad (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: (f :*: g) a -> (a -> (f :*: g) b) -> (f :*: g) b #

(>>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b #

return :: a -> (f :*: g) a #

(Monad f, Applicative f) => Monad (WhenMatched f x y)

Equivalent to ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

(>>=) :: WhenMatched f x y a -> (a -> WhenMatched f x y b) -> WhenMatched f x y b #

(>>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b #

return :: a -> WhenMatched f x y a #

(Applicative f, Monad f) => Monad (WhenMissing f k x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)) .

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

(>>=) :: WhenMissing f k x a -> (a -> WhenMissing f k x b) -> WhenMissing f k x b #

(>>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b #

return :: a -> WhenMissing f k x a #

(Monoid a, Monoid b, Monoid c) => Monad ((,,,) a b c)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, b, c, a0) -> (a0 -> (a, b, c, b0)) -> (a, b, c, b0) #

(>>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) #

return :: a0 -> (a, b, c, a0) #

Monad ((->) r)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: (r -> a) -> (a -> r -> b) -> r -> b #

(>>) :: (r -> a) -> (r -> b) -> r -> b #

return :: a -> r -> a #

Monad f => Monad (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b #

(>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b #

return :: a -> M1 i c f a #

(Monad f, Applicative f) => Monad (WhenMatched f k x y)

Equivalent to ReaderT k (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

(>>=) :: WhenMatched f k x y a -> (a -> WhenMatched f k x y b) -> WhenMatched f k x y b #

(>>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b #

return :: a -> WhenMatched f k x y a #

Monad m => Monad (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

(>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b #

(>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b #

return :: a -> RWST r w s m a #

data Fun a b #

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.

Constructors

Fun (a :-> b, b, Shrunk) (a -> b) 

Instances

Instances details
Functor (Fun a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

fmap :: (a0 -> b) -> Fun a a0 -> Fun a b #

(<$) :: a0 -> Fun a b -> Fun a a0 #

(Function a, CoArbitrary a, Arbitrary b) => Arbitrary (Fun a b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

arbitrary :: Gen (Fun a b) #

shrink :: Fun a b -> [Fun a b] #

(Show a, Show b) => Show (Fun a b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

showsPrec :: Int -> Fun a b -> ShowS #

show :: Fun a b -> String #

showList :: [Fun a b] -> ShowS #

data Gen a #

A generator for values of type a.

The third-party packages QuickCheck-GenT and quickcheck-transformer provide monad transformer versions of Gen.

Instances

Instances details
MonadFix Gen 
Instance details

Defined in Test.QuickCheck.Gen

Methods

mfix :: (a -> Gen a) -> Gen a #

Applicative Gen 
Instance details

Defined in Test.QuickCheck.Gen

Methods

pure :: a -> Gen a #

(<*>) :: Gen (a -> b) -> Gen a -> Gen b #

liftA2 :: (a -> b -> c) -> Gen a -> Gen b -> Gen c #

(*>) :: Gen a -> Gen b -> Gen b #

(<*) :: Gen a -> Gen b -> Gen a #

Functor Gen 
Instance details

Defined in Test.QuickCheck.Gen

Methods

fmap :: (a -> b) -> Gen a -> Gen b #

(<$) :: a -> Gen b -> Gen a #

Monad Gen 
Instance details

Defined in Test.QuickCheck.Gen

Methods

(>>=) :: Gen a -> (a -> Gen b) -> Gen b #

(>>) :: Gen a -> Gen b -> Gen b #

return :: a -> Gen a #

Testable prop => Testable (Gen prop) 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Gen prop -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Gen prop) -> Property #

class CoArbitrary a where #

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).

Minimal complete definition

Nothing

Methods

coarbitrary :: a -> Gen b -> Gen b #

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)

Instances

Instances details
CoArbitrary All 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: All -> Gen b -> Gen b #

CoArbitrary Any 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Any -> Gen b -> Gen b #

CoArbitrary Version 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Version -> Gen b -> Gen b #

CoArbitrary Newline 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Newline -> Gen b -> Gen b #

CoArbitrary NewlineMode 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: NewlineMode -> Gen b -> Gen b #

CoArbitrary Int16 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Int16 -> Gen b -> Gen b #

CoArbitrary Int32 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Int32 -> Gen b -> Gen b #

CoArbitrary Int64 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Int64 -> Gen b -> Gen b #

CoArbitrary Int8 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Int8 -> Gen b -> Gen b #

CoArbitrary Word16 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Word16 -> Gen b -> Gen b #

CoArbitrary Word32 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Word32 -> Gen b -> Gen b #

CoArbitrary Word64 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Word64 -> Gen b -> Gen b #

CoArbitrary Word8 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Word8 -> Gen b -> Gen b #

CoArbitrary IntSet 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: IntSet -> Gen b -> Gen b #

CoArbitrary Ordering 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Ordering -> Gen b -> Gen b #

CoArbitrary Ix2 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

coarbitrary :: Ix2 -> Gen b -> Gen b #

CoArbitrary Ix3 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

coarbitrary :: Ix3 -> Gen b -> Gen b #

CoArbitrary Ix4 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

coarbitrary :: Ix4 -> Gen b -> Gen b #

CoArbitrary Ix5 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

coarbitrary :: Ix5 -> Gen b -> Gen b #

CoArbitrary Integer 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Integer -> Gen b -> Gen b #

CoArbitrary () 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: () -> Gen b -> Gen b #

CoArbitrary Bool 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Bool -> Gen b -> Gen b #

CoArbitrary Char 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Char -> Gen b -> Gen b #

CoArbitrary Double 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Double -> Gen b -> Gen b #

CoArbitrary Float 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Float -> Gen b -> Gen b #

CoArbitrary Int 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Int -> Gen b -> Gen b #

CoArbitrary Word 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Word -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (ZipList a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: ZipList a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Complex a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Complex a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Identity a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Identity a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (First a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: First a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Last a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Last a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Dual a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Dual a -> Gen b -> Gen b #

(Arbitrary a, CoArbitrary a) => CoArbitrary (Endo a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Endo a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Product a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Product a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Sum a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Sum a -> Gen b -> Gen b #

(Integral a, CoArbitrary a) => CoArbitrary (Ratio a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Ratio a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (IntMap a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: IntMap a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Seq a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Seq a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Set a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Set a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Tree a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Tree a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Maybe a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Maybe a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary [a] 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: [a] -> Gen b -> Gen b #

(CoArbitrary a, CoArbitrary b) => CoArbitrary (Either a b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Either a b -> Gen b0 -> Gen b0 #

HasResolution a => CoArbitrary (Fixed a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Fixed a -> Gen b -> Gen b #

(CoArbitrary k, CoArbitrary v) => CoArbitrary (Map k v) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Map k v -> Gen b -> Gen b #

(CoArbitrary a, CoArbitrary b) => CoArbitrary (a, b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: (a, b) -> Gen b0 -> Gen b0 #

(Arbitrary a, CoArbitrary b) => CoArbitrary (a -> b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: (a -> b) -> Gen b0 -> Gen b0 #

CoArbitrary a => CoArbitrary (Const a b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Const a b -> Gen b0 -> Gen b0 #

CoArbitrary (f a) => CoArbitrary (Alt f a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Alt f a -> Gen b -> Gen b #

CoArbitrary a => CoArbitrary (Constant a b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Constant a b -> Gen b0 -> Gen b0 #

(CoArbitrary a, CoArbitrary b, CoArbitrary c) => CoArbitrary (a, b, c) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: (a, b, c) -> Gen b0 -> Gen b0 #

(CoArbitrary a, CoArbitrary b, CoArbitrary c, CoArbitrary d) => CoArbitrary (a, b, c, d) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: (a, b, c, d) -> Gen b0 -> Gen b0 #

(CoArbitrary a, CoArbitrary b, CoArbitrary c, CoArbitrary d, CoArbitrary e) => CoArbitrary (a, b, c, d, e) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: (a, b, c, d, e) -> Gen b0 -> Gen b0 #

class Arbitrary2 (f :: Type -> Type -> Type) where #

Lifting of the Arbitrary class to binary type constructors.

Minimal complete definition

liftArbitrary2

Methods

liftArbitrary2 :: Gen a -> Gen b -> Gen (f a b) #

liftShrink2 :: (a -> [a]) -> (b -> [b]) -> f a b -> [f a b] #

Instances

Instances details
Arbitrary2 Either 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary2 :: Gen a -> Gen b -> Gen (Either a b) #

liftShrink2 :: (a -> [a]) -> (b -> [b]) -> Either a b -> [Either a b] #

Arbitrary2 (,) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary2 :: Gen a -> Gen b -> Gen (a, b) #

liftShrink2 :: (a -> [a]) -> (b -> [b]) -> (a, b) -> [(a, b)] #

Arbitrary2 (Const :: Type -> Type -> Type) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary2 :: Gen a -> Gen b -> Gen (Const a b) #

liftShrink2 :: (a -> [a]) -> (b -> [b]) -> Const a b -> [Const a b] #

Arbitrary2 (Constant :: Type -> Type -> Type) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary2 :: Gen a -> Gen b -> Gen (Constant a b) #

liftShrink2 :: (a -> [a]) -> (b -> [b]) -> Constant a b -> [Constant a b] #

class Arbitrary1 (f :: Type -> Type) where #

Lifting of the Arbitrary class to unary type constructors.

Minimal complete definition

liftArbitrary

Methods

liftArbitrary :: Gen a -> Gen (f a) #

liftShrink :: (a -> [a]) -> f a -> [f a] #

Instances

Instances details
Arbitrary1 ZipList 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen (ZipList a) #

liftShrink :: (a -> [a]) -> ZipList a -> [ZipList a] #

Arbitrary1 Identity 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen (Identity a) #

liftShrink :: (a -> [a]) -> Identity a -> [Identity a] #

Arbitrary1 IntMap

WARNING: The same warning as for Arbitrary (Set a) applies here.

Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen (IntMap a) #

liftShrink :: (a -> [a]) -> IntMap a -> [IntMap a] #

Arbitrary1 Seq 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen (Seq a) #

liftShrink :: (a -> [a]) -> Seq a -> [Seq a] #

Arbitrary1 Tree 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen (Tree a) #

liftShrink :: (a -> [a]) -> Tree a -> [Tree a] #

Arbitrary1 Triple 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

liftArbitrary :: Gen a -> Gen (Triple a) #

liftShrink :: (a -> [a]) -> Triple a -> [Triple a] #

Arbitrary1 Maybe 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen (Maybe a) #

liftShrink :: (a -> [a]) -> Maybe a -> [Maybe a] #

Arbitrary1 List 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen [a] #

liftShrink :: (a -> [a]) -> [a] -> [[a]] #

Arbitrary a => Arbitrary1 (Either a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a0 -> Gen (Either a a0) #

liftShrink :: (a0 -> [a0]) -> Either a a0 -> [Either a a0] #

(Ord k, Arbitrary k) => Arbitrary1 (Map k) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen (Map k a) #

liftShrink :: (a -> [a]) -> Map k a -> [Map k a] #

Arbitrary a => Arbitrary1 ((,) a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a0 -> Gen (a, a0) #

liftShrink :: (a0 -> [a0]) -> (a, a0) -> [(a, a0)] #

Arbitrary a => Arbitrary1 (Const a :: Type -> Type) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a0 -> Gen (Const a a0) #

liftShrink :: (a0 -> [a0]) -> Const a a0 -> [Const a a0] #

Arbitrary a => Arbitrary1 (Constant a :: Type -> Type) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a0 -> Gen (Constant a a0) #

liftShrink :: (a0 -> [a0]) -> Constant a a0 -> [Constant a a0] #

(Arbitrary1 f, Arbitrary1 g) => Arbitrary1 (Product f g) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen (Product f g a) #

liftShrink :: (a -> [a]) -> Product f g a -> [Product f g a] #

CoArbitrary a => Arbitrary1 ((->) a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a0 -> Gen (a -> a0) #

liftShrink :: (a0 -> [a0]) -> (a -> a0) -> [a -> a0] #

(Arbitrary1 f, Arbitrary1 g) => Arbitrary1 (Compose f g) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a -> Gen (Compose f g a) #

liftShrink :: (a -> [a]) -> Compose f g a -> [Compose f g a] #

class Arbitrary a where #

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.

Minimal complete definition

arbitrary

Methods

arbitrary :: Gen 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!

shrink :: a -> [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:

  1. Shrink a term to any of its immediate subterms. You can use subterms to do this.
  2. Recursively apply shrink to all immediate subterms. You can use recursivelyShrink to do this.
  3. 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.

Instances

Instances details
Arbitrary ASCIIString 
Instance details

Defined in Test.QuickCheck.Modifiers

Arbitrary PrintableString 
Instance details

Defined in Test.QuickCheck.Modifiers

Arbitrary UnicodeString 
Instance details

Defined in Test.QuickCheck.Modifiers

Arbitrary QCGen 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen QCGen #

shrink :: QCGen -> [QCGen] #

Arbitrary All 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen All #

shrink :: All -> [All] #

Arbitrary Any 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Any #

shrink :: Any -> [Any] #

Arbitrary Version

Generates Version with non-empty non-negative versionBranch, and empty versionTags

Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CChar 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen CChar #

shrink :: CChar -> [CChar] #

Arbitrary CClock 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CDouble 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CFloat 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CInt 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen CInt #

shrink :: CInt -> [CInt] #

Arbitrary CIntMax 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CIntPtr 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CLLong 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CLong 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen CLong #

shrink :: CLong -> [CLong] #

Arbitrary CPtrdiff 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CSChar 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CSUSeconds 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CShort 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CSigAtomic 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CSize 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen CSize #

shrink :: CSize -> [CSize] #

Arbitrary CTime 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen CTime #

shrink :: CTime -> [CTime] #

Arbitrary CUChar 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CUInt 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen CUInt #

shrink :: CUInt -> [CUInt] #

Arbitrary CUIntMax 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CUIntPtr 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CULLong 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CULong 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CUSeconds 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CUShort 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary CWchar 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary ExitCode 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary Newline 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary NewlineMode 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary Int16 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Int16 #

shrink :: Int16 -> [Int16] #

Arbitrary Int32 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Int32 #

shrink :: Int32 -> [Int32] #

Arbitrary Int64 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Int64 #

shrink :: Int64 -> [Int64] #

Arbitrary Int8 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Int8 #

shrink :: Int8 -> [Int8] #

Arbitrary Word16 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary Word32 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary Word64 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary Word8 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Word8 #

shrink :: Word8 -> [Word8] #

Arbitrary IntSet

WARNING: The same warning as for Arbitrary (Set a) applies here.

Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary Ordering 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary Dim Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen Dim #

shrink :: Dim -> [Dim] #

Arbitrary Ix0 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen Ix0 #

shrink :: Ix0 -> [Ix0] #

Arbitrary Ix2 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen Ix2 #

shrink :: Ix2 -> [Ix2] #

Arbitrary Ix3 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen Ix3 #

shrink :: Ix3 -> [Ix3] #

Arbitrary Ix4 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen Ix4 #

shrink :: Ix4 -> [Ix4] #

Arbitrary Ix5 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen Ix5 #

shrink :: Ix5 -> [Ix5] #

Arbitrary ChooseFirst 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen ChooseFirst #

shrink :: ChooseFirst -> [ChooseFirst] #

Arbitrary ChooseSecond 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen ChooseSecond #

shrink :: ChooseSecond -> [ChooseSecond] #

Arbitrary LastNothing 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen LastNothing #

shrink :: LastNothing -> [LastNothing] #

Arbitrary LinearEquation 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen LinearEquation #

shrink :: LinearEquation -> [LinearEquation] #

Arbitrary LinearEquationTwo 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen LinearEquationTwo #

shrink :: LinearEquationTwo -> [LinearEquationTwo] #

Arbitrary QuadraticEquation 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen QuadraticEquation #

shrink :: QuadraticEquation -> [QuadraticEquation] #

Arbitrary ShowReadPrecedence 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen ShowReadPrecedence #

shrink :: ShowReadPrecedence -> [ShowReadPrecedence] #

Arbitrary Comp Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen Comp #

shrink :: Comp -> [Comp] #

Arbitrary Integer 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary () 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen () #

shrink :: () -> [()] #

Arbitrary Bool 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Bool #

shrink :: Bool -> [Bool] #

Arbitrary Char 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Char #

shrink :: Char -> [Char] #

Arbitrary Double 
Instance details

Defined in Test.QuickCheck.Arbitrary

Arbitrary Float 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Float #

shrink :: Float -> [Float] #

Arbitrary Int 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Int #

shrink :: Int -> [Int] #

Arbitrary Word 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Word #

shrink :: Word -> [Word] #

Arbitrary a => Arbitrary (Blind a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Blind a) #

shrink :: Blind a -> [Blind a] #

Arbitrary a => Arbitrary (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Fixed a) #

shrink :: Fixed a -> [Fixed a] #

Arbitrary a => Arbitrary (InfiniteList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Arbitrary a => Arbitrary (InfiniteListInternalData a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (InfiniteListInternalData a) #

shrink :: InfiniteListInternalData a -> [InfiniteListInternalData a] #

(Integral a, Bounded a) => Arbitrary (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Large a) #

shrink :: Large a -> [Large a] #

(Num a, Ord a, Arbitrary a) => Arbitrary (Negative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Negative a) #

shrink :: Negative a -> [Negative a] #

Arbitrary a => Arbitrary (NonEmptyList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

(Num a, Ord a, Arbitrary a) => Arbitrary (NonNegative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

(Num a, Ord a, Arbitrary a) => Arbitrary (NonPositive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

(Num a, Eq a, Arbitrary a) => Arbitrary (NonZero a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (NonZero a) #

shrink :: NonZero a -> [NonZero a] #

(Ord a, Arbitrary a) => Arbitrary (OrderedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

(Num a, Ord a, Arbitrary a) => Arbitrary (Positive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Positive a) #

shrink :: Positive a -> [Positive a] #

Arbitrary a => Arbitrary (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Shrink2 a) #

shrink :: Shrink2 a -> [Shrink2 a] #

Integral a => Arbitrary (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Small a) #

shrink :: Small a -> [Small a] #

Arbitrary a => Arbitrary (Smart a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Smart a) #

shrink :: Smart a -> [Smart a] #

(Arbitrary a, Ord a) => Arbitrary (SortedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Arbitrary a => Arbitrary (ZipList a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (ZipList a) #

shrink :: ZipList a -> [ZipList a] #

Arbitrary a => Arbitrary (Complex a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Complex a) #

shrink :: Complex a -> [Complex a] #

Arbitrary a => Arbitrary (Identity a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Identity a) #

shrink :: Identity a -> [Identity a] #

Arbitrary a => Arbitrary (First a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (First a) #

shrink :: First a -> [First a] #

Arbitrary a => Arbitrary (Last a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Last a) #

shrink :: Last a -> [Last a] #

Arbitrary a => Arbitrary (Dual a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Dual a) #

shrink :: Dual a -> [Dual a] #

(Arbitrary a, CoArbitrary a) => Arbitrary (Endo a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Endo a) #

shrink :: Endo a -> [Endo a] #

Arbitrary a => Arbitrary (Product a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Product a) #

shrink :: Product a -> [Product a] #

Arbitrary a => Arbitrary (Sum a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Sum a) #

shrink :: Sum a -> [Sum a] #

Integral a => Arbitrary (Ratio a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Ratio a) #

shrink :: Ratio a -> [Ratio a] #

Arbitrary a => Arbitrary (IntMap a)

WARNING: The same warning as for Arbitrary (Set a) applies here.

Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (IntMap a) #

shrink :: IntMap a -> [IntMap a] #

Arbitrary a => Arbitrary (Seq a)

WARNING: The same warning as for Arbitrary (Set a) applies here.

Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Seq a) #

shrink :: Seq a -> [Seq a] #

(Ord a, Arbitrary a) => Arbitrary (Set a)

WARNING: Users working on the internals of the Set type via e.g. Data.Set.Internal should be aware that this instance aims to give a good representation of Set a as mathematical sets but *does not* aim to provide a varied distribution over the underlying representation.

Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Set a) #

shrink :: Set a -> [Set a] #

Arbitrary a => Arbitrary (Tree a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Tree a) #

shrink :: Tree a -> [Tree a] #

Arbitrary e => Arbitrary (Border e) Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen (Border e) #

shrink :: Border e -> [Border e] #

(Index ix, Arbitrary ix) => Arbitrary (Sz ix) Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen (Sz ix) #

shrink :: Sz ix -> [Sz ix] #

(Index ix, Arbitrary ix) => Arbitrary (Stride ix) Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen (Stride ix) #

shrink :: Stride ix -> [Stride ix] #

Index ix => Arbitrary (DimIx ix) Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen (DimIx ix) #

shrink :: DimIx ix -> [DimIx ix] #

(Index ix, Arbitrary ix) => Arbitrary (SzIx ix) Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen (SzIx ix) #

shrink :: SzIx ix -> [SzIx ix] #

(Index ix, Arbitrary ix) => Arbitrary (SzNE ix) Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen (SzNE ix) #

shrink :: SzNE ix -> [SzNE ix] #

(Arbitrary ix, Index ix) => Arbitrary (SzTiny ix) Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

arbitrary :: Gen (SzTiny ix) #

shrink :: SzTiny ix -> [SzTiny ix] #

FiniteBits a => Arbitrary (BitIndex a) 
Instance details

Defined in Test.QuickCheck.Classes.Bits

Methods

arbitrary :: Gen (BitIndex a) #

shrink :: BitIndex a -> [BitIndex a] #

Arbitrary a => Arbitrary (Bottom a) 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen (Bottom a) #

shrink :: Bottom a -> [Bottom a] #

(forall a. Arbitrary a => Arbitrary (m a)) => Arbitrary (LinearEquationM m) 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen (LinearEquationM m) #

shrink :: LinearEquationM m -> [LinearEquationM m] #

Arbitrary a => Arbitrary (SmallList a) 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen (SmallList a) #

shrink :: SmallList a -> [SmallList a] #

Arbitrary a => Arbitrary (Triple a) 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen (Triple a) #

shrink :: Triple a -> [Triple a] #

Arbitrary a => Arbitrary (VerySmallList a) 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen (VerySmallList a) #

shrink :: VerySmallList a -> [VerySmallList a] #

Arbitrary a => Arbitrary (Maybe a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Maybe a) #

shrink :: Maybe a -> [Maybe a] #

Arbitrary a => Arbitrary [a] 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen [a] #

shrink :: [a] -> [[a]] #

(Function a, CoArbitrary a, Arbitrary b) => Arbitrary (a :-> b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

arbitrary :: Gen (a :-> b) #

shrink :: (a :-> b) -> [a :-> b] #

(Function a, CoArbitrary a, Arbitrary b) => Arbitrary (Fun a b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

arbitrary :: Gen (Fun a b) #

shrink :: Fun a b -> [Fun a b] #

(Arbitrary a, ShrinkState s a) => Arbitrary (Shrinking s a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Shrinking s a) #

shrink :: Shrinking s a -> [Shrinking s a] #

Arbitrary (m a) => Arbitrary (WrappedMonad m a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (WrappedMonad m a) #

shrink :: WrappedMonad m a -> [WrappedMonad m a] #

(Arbitrary a, Arbitrary b) => Arbitrary (Either a b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Either a b) #

shrink :: Either a b -> [Either a b] #

HasResolution a => Arbitrary (Fixed a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Fixed a) #

shrink :: Fixed a -> [Fixed a] #

(Ord k, Arbitrary k, Arbitrary v) => Arbitrary (Map k v)

WARNING: The same warning as for Arbitrary (Set a) applies here.

Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Map k v) #

shrink :: Map k v -> [Map k v] #

(Arbitrary ix, CoArbitrary ix, Load DW ix e, Arbitrary e, Typeable e) => Arbitrary (ArrDW ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (ArrDW ix e) #

shrink :: ArrDW ix e -> [ArrDW ix e] #

(Arbitrary1 f, Arbitrary a) => Arbitrary (GApply f a) 
Instance details

Defined in Test.QuickCheck.Classes.Generic

Methods

arbitrary :: Gen (GApply f a) #

shrink :: GApply f a -> [GApply f a] #

(forall x. Arbitrary x => Arbitrary (f x), Arbitrary a) => Arbitrary (Apply f a) 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen (Apply f a) #

shrink :: Apply f a -> [Apply f a] #

(Arbitrary a, Arbitrary b) => Arbitrary (a, b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a, b) #

shrink :: (a, b) -> [(a, b)] #

(CoArbitrary a, Arbitrary b) => Arbitrary (a -> b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a -> b) #

shrink :: (a -> b) -> [a -> b] #

Arbitrary (a b c) => Arbitrary (WrappedArrow a b c) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (WrappedArrow a b c) #

shrink :: WrappedArrow a b c -> [WrappedArrow a b c] #

Arbitrary a => Arbitrary (Const a b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Const a b) #

shrink :: Const a b -> [Const a b] #

Arbitrary (f a) => Arbitrary (Alt f a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Alt f a) #

shrink :: Alt f a -> [Alt f a] #

(Arbitrary ix, Index ix, Arbitrary e) => Arbitrary (Array DI ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array DI ix e) #

shrink :: Array DI ix e -> [Array DI ix e] #

(Arbitrary ix, Index ix, Arbitrary e) => Arbitrary (Array D ix e) Source #

Arbitrary array

Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array D ix e) #

shrink :: Array D ix e -> [Array D ix e] #

(Arbitrary ix, Index ix, Arbitrary e) => Arbitrary (Array DL ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array DL ix e) #

shrink :: Array DL ix e -> [Array DL ix e] #

(ix ~ Ix1, Arbitrary e) => Arbitrary (Array DS ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array DS ix e) #

shrink :: Array DS ix e -> [Array DS ix e] #

(Arbitrary ix, Load DW ix e, Arbitrary e) => Arbitrary (Array DW ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array DW ix e) #

shrink :: Array DW ix e -> [Array DW ix e] #

(Arbitrary ix, Index ix, Arbitrary e) => Arbitrary (Array B ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array B ix e) #

shrink :: Array B ix e -> [Array B ix e] #

(Arbitrary ix, Index ix, Arbitrary e) => Arbitrary (Array BL ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array BL ix e) #

shrink :: Array BL ix e -> [Array BL ix e] #

(Arbitrary ix, Index ix, Arbitrary e, NFData e) => Arbitrary (Array BN ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array BN ix e) #

shrink :: Array BN ix e -> [Array BN ix e] #

(Arbitrary ix, Index ix, Arbitrary e, Prim e) => Arbitrary (Array P ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array P ix e) #

shrink :: Array P ix e -> [Array P ix e] #

(Arbitrary ix, Index ix, Arbitrary e, Storable e) => Arbitrary (Array S ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array S ix e) #

shrink :: Array S ix e -> [Array S ix e] #

(Arbitrary ix, Index ix, Arbitrary e, Unbox e) => Arbitrary (Array U ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array U ix e) #

shrink :: Array U ix e -> [Array U ix e] #

(Arbitrary ix, Load L ix e, Arbitrary e) => Arbitrary (Array L ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (Array L ix e) #

shrink :: Array L ix e -> [Array L ix e] #

(Arbitrary ix, Load r ix e, Arbitrary e) => Arbitrary (ArrIx r ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (ArrIx r ix e) #

shrink :: ArrIx r ix e -> [ArrIx r ix e] #

(Arbitrary ix, Load r ix e, Arbitrary e) => Arbitrary (ArrNE r ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (ArrNE r ix e) #

shrink :: ArrNE r ix e -> [ArrNE r ix e] #

(Arbitrary ix, Load r ix e, Arbitrary e) => Arbitrary (ArrTiny r ix e) Source # 
Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (ArrTiny r ix e) #

shrink :: ArrTiny r ix e -> [ArrTiny r ix e] #

(Arbitrary ix, Load r ix e, Arbitrary e) => Arbitrary (ArrTinyNE r ix e) Source #

Arbitrary small and possibly empty array.

Instance details

Defined in Test.Massiv.Core.Common

Methods

arbitrary :: Gen (ArrTinyNE r ix e) #

shrink :: ArrTinyNE r ix e -> [ArrTinyNE r ix e] #

(forall x y. (Arbitrary x, Arbitrary y) => Arbitrary (f x y), Arbitrary a, Arbitrary b) => Arbitrary (Apply2 f a b) 
Instance details

Defined in Test.QuickCheck.Classes.Internal

Methods

arbitrary :: Gen (Apply2 f a b) #

shrink :: Apply2 f a b -> [Apply2 f a b] #

Arbitrary a => Arbitrary (Constant a b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Constant a b) #

shrink :: Constant a b -> [Constant a b] #

(Arbitrary a, Arbitrary b, Arbitrary c) => Arbitrary (a, b, c) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a, b, c) #

shrink :: (a, b, c) -> [(a, b, c)] #

(Arbitrary1 f, Arbitrary1 g, Arbitrary a) => Arbitrary (Product f g a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Product f g a) #

shrink :: Product f g a -> [Product f g a] #

(Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d) => Arbitrary (a, b, c, d) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a, b, c, d) #

shrink :: (a, b, c, d) -> [(a, b, c, d)] #

(Arbitrary1 f, Arbitrary1 g, Arbitrary a) => Arbitrary (Compose f g a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Compose f g a) #

shrink :: Compose f g a -> [Compose f g a] #

(Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d, Arbitrary e) => Arbitrary (a, b, c, d, e) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a, b, c, d, e) #

shrink :: (a, b, c, d, e) -> [(a, b, c, d, e)] #

(Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d, Arbitrary e, Arbitrary f) => Arbitrary (a, b, c, d, e, f) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a, b, c, d, e, f) #

shrink :: (a, b, c, d, e, f) -> [(a, b, c, d, e, f)] #

(Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d, Arbitrary e, Arbitrary f, Arbitrary g) => Arbitrary (a, b, c, d, e, f, g) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a, b, c, d, e, f, g) #

shrink :: (a, b, c, d, e, f, g) -> [(a, b, c, d, e, f, g)] #

(Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d, Arbitrary e, Arbitrary f, Arbitrary g, Arbitrary h) => Arbitrary (a, b, c, d, e, f, g, h) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a, b, c, d, e, f, g, h) #

shrink :: (a, b, c, d, e, f, g, h) -> [(a, b, c, d, e, f, g, h)] #

(Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d, Arbitrary e, Arbitrary f, Arbitrary g, Arbitrary h, Arbitrary i) => Arbitrary (a, b, c, d, e, f, g, h, i) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a, b, c, d, e, f, g, h, i) #

shrink :: (a, b, c, d, e, f, g, h, i) -> [(a, b, c, d, e, f, g, h, i)] #

(Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d, Arbitrary e, Arbitrary f, Arbitrary g, Arbitrary h, Arbitrary i, Arbitrary j) => Arbitrary (a, b, c, d, e, f, g, h, i, j) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (a, b, c, d, e, f, g, h, i, j) #

shrink :: (a, b, c, d, e, f, g, h, i, j) -> [(a, b, c, d, e, f, g, h, i, j)] #

class ShrinkState s a where #

Methods

shrinkInit :: a -> s #

shrinkState :: a -> s -> [(a, s)] #

data Shrinking s a #

Shrinking _ x: allows for maintaining a state during shrinking.

Constructors

Shrinking s a 

Instances

Instances details
Functor (Shrinking s) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Shrinking s a -> Shrinking s b #

(<$) :: a -> Shrinking s b -> Shrinking s a #

(Arbitrary a, ShrinkState s a) => Arbitrary (Shrinking s a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Shrinking s a) #

shrink :: Shrinking s a -> [Shrinking s a] #

Show a => Show (Shrinking s a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> Shrinking s a -> ShowS #

show :: Shrinking s a -> String #

showList :: [Shrinking s a] -> ShowS #

data Smart a #

Smart _ x: tries a different order when shrinking.

Constructors

Smart Int a 

Instances

Instances details
Functor Smart 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Smart a -> Smart b #

(<$) :: a -> Smart b -> Smart a #

Arbitrary a => Arbitrary (Smart a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Smart a) #

shrink :: Smart a -> [Smart a] #

Show a => Show (Smart a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> Smart a -> ShowS #

show :: Smart a -> String #

showList :: [Smart a] -> ShowS #

newtype Shrink2 a #

Shrink2 x: allows 2 shrinking steps at the same time when shrinking x

Constructors

Shrink2 

Fields

Instances

Instances details
Functor Shrink2 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Shrink2 a -> Shrink2 b #

(<$) :: a -> Shrink2 b -> Shrink2 a #

Arbitrary a => Arbitrary (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Shrink2 a) #

shrink :: Shrink2 a -> [Shrink2 a] #

Enum a => Enum (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

succ :: Shrink2 a -> Shrink2 a #

pred :: Shrink2 a -> Shrink2 a #

toEnum :: Int -> Shrink2 a #

fromEnum :: Shrink2 a -> Int #

enumFrom :: Shrink2 a -> [Shrink2 a] #

enumFromThen :: Shrink2 a -> Shrink2 a -> [Shrink2 a] #

enumFromTo :: Shrink2 a -> Shrink2 a -> [Shrink2 a] #

enumFromThenTo :: Shrink2 a -> Shrink2 a -> Shrink2 a -> [Shrink2 a] #

Num a => Num (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(+) :: Shrink2 a -> Shrink2 a -> Shrink2 a #

(-) :: Shrink2 a -> Shrink2 a -> Shrink2 a #

(*) :: Shrink2 a -> Shrink2 a -> Shrink2 a #

negate :: Shrink2 a -> Shrink2 a #

abs :: Shrink2 a -> Shrink2 a #

signum :: Shrink2 a -> Shrink2 a #

fromInteger :: Integer -> Shrink2 a #

Read a => Read (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Integral a => Integral (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

quot :: Shrink2 a -> Shrink2 a -> Shrink2 a #

rem :: Shrink2 a -> Shrink2 a -> Shrink2 a #

div :: Shrink2 a -> Shrink2 a -> Shrink2 a #

mod :: Shrink2 a -> Shrink2 a -> Shrink2 a #

quotRem :: Shrink2 a -> Shrink2 a -> (Shrink2 a, Shrink2 a) #

divMod :: Shrink2 a -> Shrink2 a -> (Shrink2 a, Shrink2 a) #

toInteger :: Shrink2 a -> Integer #

Real a => Real (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

toRational :: Shrink2 a -> Rational #

Show a => Show (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> Shrink2 a -> ShowS #

show :: Shrink2 a -> String #

showList :: [Shrink2 a] -> ShowS #

Eq a => Eq (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(==) :: Shrink2 a -> Shrink2 a -> Bool #

(/=) :: Shrink2 a -> Shrink2 a -> Bool #

Ord a => Ord (Shrink2 a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

compare :: Shrink2 a -> Shrink2 a -> Ordering #

(<) :: Shrink2 a -> Shrink2 a -> Bool #

(<=) :: Shrink2 a -> Shrink2 a -> Bool #

(>) :: Shrink2 a -> Shrink2 a -> Bool #

(>=) :: Shrink2 a -> Shrink2 a -> Bool #

max :: Shrink2 a -> Shrink2 a -> Shrink2 a #

min :: Shrink2 a -> Shrink2 a -> Shrink2 a #

newtype Small a #

Small x: generates values of x drawn from a small range. The opposite of Large.

Constructors

Small 

Fields

Instances

Instances details
Functor Small 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Small a -> Small b #

(<$) :: a -> Small b -> Small a #

Integral a => Arbitrary (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Small a) #

shrink :: Small a -> [Small a] #

Enum a => Enum (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

succ :: Small a -> Small a #

pred :: Small a -> Small a #

toEnum :: Int -> Small a #

fromEnum :: Small a -> Int #

enumFrom :: Small a -> [Small a] #

enumFromThen :: Small a -> Small a -> [Small a] #

enumFromTo :: Small a -> Small a -> [Small a] #

enumFromThenTo :: Small a -> Small a -> Small a -> [Small a] #

Ix a => Ix (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

range :: (Small a, Small a) -> [Small a] #

index :: (Small a, Small a) -> Small a -> Int #

unsafeIndex :: (Small a, Small a) -> Small a -> Int #

inRange :: (Small a, Small a) -> Small a -> Bool #

rangeSize :: (Small a, Small a) -> Int #

unsafeRangeSize :: (Small a, Small a) -> Int #

Num a => Num (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(+) :: Small a -> Small a -> Small a #

(-) :: Small a -> Small a -> Small a #

(*) :: Small a -> Small a -> Small a #

negate :: Small a -> Small a #

abs :: Small a -> Small a #

signum :: Small a -> Small a #

fromInteger :: Integer -> Small a #

Read a => Read (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Integral a => Integral (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

quot :: Small a -> Small a -> Small a #

rem :: Small a -> Small a -> Small a #

div :: Small a -> Small a -> Small a #

mod :: Small a -> Small a -> Small a #

quotRem :: Small a -> Small a -> (Small a, Small a) #

divMod :: Small a -> Small a -> (Small a, Small a) #

toInteger :: Small a -> Integer #

Real a => Real (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

toRational :: Small a -> Rational #

Show a => Show (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> Small a -> ShowS #

show :: Small a -> String #

showList :: [Small a] -> ShowS #

Eq a => Eq (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(==) :: Small a -> Small a -> Bool #

(/=) :: Small a -> Small a -> Bool #

Ord a => Ord (Small a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

compare :: Small a -> Small a -> Ordering #

(<) :: Small a -> Small a -> Bool #

(<=) :: Small a -> Small a -> Bool #

(>) :: Small a -> Small a -> Bool #

(>=) :: Small a -> Small a -> Bool #

max :: Small a -> Small a -> Small a #

min :: Small a -> Small a -> Small a #

newtype Large a #

Large x: by default, QuickCheck generates Ints drawn from a small range. Large Int gives you values drawn from the entire range instead.

Constructors

Large 

Fields

Instances

Instances details
Functor Large 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Large a -> Large b #

(<$) :: a -> Large b -> Large a #

(Integral a, Bounded a) => Arbitrary (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Large a) #

shrink :: Large a -> [Large a] #

Enum a => Enum (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

succ :: Large a -> Large a #

pred :: Large a -> Large a #

toEnum :: Int -> Large a #

fromEnum :: Large a -> Int #

enumFrom :: Large a -> [Large a] #

enumFromThen :: Large a -> Large a -> [Large a] #

enumFromTo :: Large a -> Large a -> [Large a] #

enumFromThenTo :: Large a -> Large a -> Large a -> [Large a] #

Ix a => Ix (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

range :: (Large a, Large a) -> [Large a] #

index :: (Large a, Large a) -> Large a -> Int #

unsafeIndex :: (Large a, Large a) -> Large a -> Int #

inRange :: (Large a, Large a) -> Large a -> Bool #

rangeSize :: (Large a, Large a) -> Int #

unsafeRangeSize :: (Large a, Large a) -> Int #

Num a => Num (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(+) :: Large a -> Large a -> Large a #

(-) :: Large a -> Large a -> Large a #

(*) :: Large a -> Large a -> Large a #

negate :: Large a -> Large a #

abs :: Large a -> Large a #

signum :: Large a -> Large a #

fromInteger :: Integer -> Large a #

Read a => Read (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Integral a => Integral (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

quot :: Large a -> Large a -> Large a #

rem :: Large a -> Large a -> Large a #

div :: Large a -> Large a -> Large a #

mod :: Large a -> Large a -> Large a #

quotRem :: Large a -> Large a -> (Large a, Large a) #

divMod :: Large a -> Large a -> (Large a, Large a) #

toInteger :: Large a -> Integer #

Real a => Real (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

toRational :: Large a -> Rational #

Show a => Show (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> Large a -> ShowS #

show :: Large a -> String #

showList :: [Large a] -> ShowS #

Eq a => Eq (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(==) :: Large a -> Large a -> Bool #

(/=) :: Large a -> Large a -> Bool #

Ord a => Ord (Large a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

compare :: Large a -> Large a -> Ordering #

(<) :: Large a -> Large a -> Bool #

(<=) :: Large a -> Large a -> Bool #

(>) :: Large a -> Large a -> Bool #

(>=) :: Large a -> Large a -> Bool #

max :: Large a -> Large a -> Large a #

min :: Large a -> Large a -> Large a #

newtype NonPositive a #

NonPositive x: guarantees that x <= 0.

Constructors

NonPositive 

Fields

Instances

Instances details
Functor NonPositive 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> NonPositive a -> NonPositive b #

(<$) :: a -> NonPositive b -> NonPositive a #

(Num a, Ord a, Arbitrary a) => Arbitrary (NonPositive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Enum a => Enum (NonPositive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Read a => Read (NonPositive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Show a => Show (NonPositive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Eq a => Eq (NonPositive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Ord a => Ord (NonPositive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

newtype NonNegative a #

NonNegative x: guarantees that x >= 0.

Constructors

NonNegative 

Fields

Instances

Instances details
Functor NonNegative 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> NonNegative a -> NonNegative b #

(<$) :: a -> NonNegative b -> NonNegative a #

(Num a, Ord a, Arbitrary a) => Arbitrary (NonNegative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Enum a => Enum (NonNegative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Read a => Read (NonNegative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Show a => Show (NonNegative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Eq a => Eq (NonNegative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Ord a => Ord (NonNegative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

newtype NonZero a #

NonZero x: guarantees that x /= 0.

Constructors

NonZero 

Fields

Instances

Instances details
Functor NonZero 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> NonZero a -> NonZero b #

(<$) :: a -> NonZero b -> NonZero a #

(Num a, Eq a, Arbitrary a) => Arbitrary (NonZero a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (NonZero a) #

shrink :: NonZero a -> [NonZero a] #

Enum a => Enum (NonZero a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

succ :: NonZero a -> NonZero a #

pred :: NonZero a -> NonZero a #

toEnum :: Int -> NonZero a #

fromEnum :: NonZero a -> Int #

enumFrom :: NonZero a -> [NonZero a] #

enumFromThen :: NonZero a -> NonZero a -> [NonZero a] #

enumFromTo :: NonZero a -> NonZero a -> [NonZero a] #

enumFromThenTo :: NonZero a -> NonZero a -> NonZero a -> [NonZero a] #

Read a => Read (NonZero a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Show a => Show (NonZero a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> NonZero a -> ShowS #

show :: NonZero a -> String #

showList :: [NonZero a] -> ShowS #

Eq a => Eq (NonZero a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(==) :: NonZero a -> NonZero a -> Bool #

(/=) :: NonZero a -> NonZero a -> Bool #

Ord a => Ord (NonZero a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

compare :: NonZero a -> NonZero a -> Ordering #

(<) :: NonZero a -> NonZero a -> Bool #

(<=) :: NonZero a -> NonZero a -> Bool #

(>) :: NonZero a -> NonZero a -> Bool #

(>=) :: NonZero a -> NonZero a -> Bool #

max :: NonZero a -> NonZero a -> NonZero a #

min :: NonZero a -> NonZero a -> NonZero a #

newtype Negative a #

Negative x: guarantees that x < 0.

Constructors

Negative 

Fields

Instances

Instances details
Functor Negative 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Negative a -> Negative b #

(<$) :: a -> Negative b -> Negative a #

(Num a, Ord a, Arbitrary a) => Arbitrary (Negative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Negative a) #

shrink :: Negative a -> [Negative a] #

Enum a => Enum (Negative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Read a => Read (Negative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Show a => Show (Negative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> Negative a -> ShowS #

show :: Negative a -> String #

showList :: [Negative a] -> ShowS #

Eq a => Eq (Negative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(==) :: Negative a -> Negative a -> Bool #

(/=) :: Negative a -> Negative a -> Bool #

Ord a => Ord (Negative a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

compare :: Negative a -> Negative a -> Ordering #

(<) :: Negative a -> Negative a -> Bool #

(<=) :: Negative a -> Negative a -> Bool #

(>) :: Negative a -> Negative a -> Bool #

(>=) :: Negative a -> Negative a -> Bool #

max :: Negative a -> Negative a -> Negative a #

min :: Negative a -> Negative a -> Negative a #

newtype Positive a #

Positive x: guarantees that x > 0.

Constructors

Positive 

Fields

Instances

Instances details
Functor Positive 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Positive a -> Positive b #

(<$) :: a -> Positive b -> Positive a #

(Num a, Ord a, Arbitrary a) => Arbitrary (Positive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Positive a) #

shrink :: Positive a -> [Positive a] #

Enum a => Enum (Positive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Read a => Read (Positive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Show a => Show (Positive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> Positive a -> ShowS #

show :: Positive a -> String #

showList :: [Positive a] -> ShowS #

Eq a => Eq (Positive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(==) :: Positive a -> Positive a -> Bool #

(/=) :: Positive a -> Positive a -> Bool #

Ord a => Ord (Positive a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

compare :: Positive a -> Positive a -> Ordering #

(<) :: Positive a -> Positive a -> Bool #

(<=) :: Positive a -> Positive a -> Bool #

(>) :: Positive a -> Positive a -> Bool #

(>=) :: Positive a -> Positive a -> Bool #

max :: Positive a -> Positive a -> Positive a #

min :: Positive a -> Positive a -> Positive a #

newtype SortedList a #

Sorted xs: guarantees that xs is sorted.

Constructors

Sorted 

Fields

Instances

Instances details
Functor SortedList 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> SortedList a -> SortedList b #

(<$) :: a -> SortedList b -> SortedList a #

(Arbitrary a, Ord a) => Arbitrary (SortedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Read a => Read (SortedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Show a => Show (SortedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Eq a => Eq (SortedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(==) :: SortedList a -> SortedList a -> Bool #

(/=) :: SortedList a -> SortedList a -> Bool #

Ord a => Ord (SortedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

data InfiniteList 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" ++ ...

Constructors

InfiniteList 

Fields

Instances

Instances details
Arbitrary a => Arbitrary (InfiniteList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Show a => Show (InfiniteList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

newtype NonEmptyList a #

NonEmpty xs: guarantees that xs is non-empty.

Constructors

NonEmpty 

Fields

Instances

Instances details
Functor NonEmptyList 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> NonEmptyList a -> NonEmptyList b #

(<$) :: a -> NonEmptyList b -> NonEmptyList a #

Arbitrary a => Arbitrary (NonEmptyList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Read a => Read (NonEmptyList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Show a => Show (NonEmptyList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Eq a => Eq (NonEmptyList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Ord a => Ord (NonEmptyList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

newtype OrderedList a #

Ordered xs: guarantees that xs is ordered.

Constructors

Ordered 

Fields

Instances

Instances details
Functor OrderedList 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> OrderedList a -> OrderedList b #

(<$) :: a -> OrderedList b -> OrderedList a #

(Ord a, Arbitrary a) => Arbitrary (OrderedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Read a => Read (OrderedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Show a => Show (OrderedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Eq a => Eq (OrderedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Ord a => Ord (OrderedList a) 
Instance details

Defined in Test.QuickCheck.Modifiers

newtype Fixed a #

Fixed x: as x, but will not be shrunk.

Constructors

Fixed 

Fields

Instances

Instances details
Functor Fixed 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Fixed a -> Fixed b #

(<$) :: a -> Fixed b -> Fixed a #

Arbitrary a => Arbitrary (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Fixed a) #

shrink :: Fixed a -> [Fixed a] #

Enum a => Enum (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

succ :: Fixed a -> Fixed a #

pred :: Fixed a -> Fixed a #

toEnum :: Int -> Fixed a #

fromEnum :: Fixed a -> Int #

enumFrom :: Fixed a -> [Fixed a] #

enumFromThen :: Fixed a -> Fixed a -> [Fixed a] #

enumFromTo :: Fixed a -> Fixed a -> [Fixed a] #

enumFromThenTo :: Fixed a -> Fixed a -> Fixed a -> [Fixed a] #

Num a => Num (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(+) :: Fixed a -> Fixed a -> Fixed a #

(-) :: Fixed a -> Fixed a -> Fixed a #

(*) :: Fixed a -> Fixed a -> Fixed a #

negate :: Fixed a -> Fixed a #

abs :: Fixed a -> Fixed a #

signum :: Fixed a -> Fixed a #

fromInteger :: Integer -> Fixed a #

Read a => Read (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Integral a => Integral (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

quot :: Fixed a -> Fixed a -> Fixed a #

rem :: Fixed a -> Fixed a -> Fixed a #

div :: Fixed a -> Fixed a -> Fixed a #

mod :: Fixed a -> Fixed a -> Fixed a #

quotRem :: Fixed a -> Fixed a -> (Fixed a, Fixed a) #

divMod :: Fixed a -> Fixed a -> (Fixed a, Fixed a) #

toInteger :: Fixed a -> Integer #

Real a => Real (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

toRational :: Fixed a -> Rational #

Show a => Show (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> Fixed a -> ShowS #

show :: Fixed a -> String #

showList :: [Fixed a] -> ShowS #

Eq a => Eq (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(==) :: Fixed a -> Fixed a -> Bool #

(/=) :: Fixed a -> Fixed a -> Bool #

Ord a => Ord (Fixed a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

compare :: Fixed a -> Fixed a -> Ordering #

(<) :: Fixed a -> Fixed a -> Bool #

(<=) :: Fixed a -> Fixed a -> Bool #

(>) :: Fixed a -> Fixed a -> Bool #

(>=) :: Fixed a -> Fixed a -> Bool #

max :: Fixed a -> Fixed a -> Fixed a #

min :: Fixed a -> Fixed a -> Fixed a #

newtype Blind a #

Blind x: as x, but x does not have to be in the Show class.

Constructors

Blind 

Fields

Instances

Instances details
Functor Blind 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

fmap :: (a -> b) -> Blind a -> Blind b #

(<$) :: a -> Blind b -> Blind a #

Arbitrary a => Arbitrary (Blind a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

arbitrary :: Gen (Blind a) #

shrink :: Blind a -> [Blind a] #

Enum a => Enum (Blind a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

succ :: Blind a -> Blind a #

pred :: Blind a -> Blind a #

toEnum :: Int -> Blind a #

fromEnum :: Blind a -> Int #

enumFrom :: Blind a -> [Blind a] #

enumFromThen :: Blind a -> Blind a -> [Blind a] #

enumFromTo :: Blind a -> Blind a -> [Blind a] #

enumFromThenTo :: Blind a -> Blind a -> Blind a -> [Blind a] #

Num a => Num (Blind a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(+) :: Blind a -> Blind a -> Blind a #

(-) :: Blind a -> Blind a -> Blind a #

(*) :: Blind a -> Blind a -> Blind a #

negate :: Blind a -> Blind a #

abs :: Blind a -> Blind a #

signum :: Blind a -> Blind a #

fromInteger :: Integer -> Blind a #

Integral a => Integral (Blind a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

quot :: Blind a -> Blind a -> Blind a #

rem :: Blind a -> Blind a -> Blind a #

div :: Blind a -> Blind a -> Blind a #

mod :: Blind a -> Blind a -> Blind a #

quotRem :: Blind a -> Blind a -> (Blind a, Blind a) #

divMod :: Blind a -> Blind a -> (Blind a, Blind a) #

toInteger :: Blind a -> Integer #

Real a => Real (Blind a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

toRational :: Blind a -> Rational #

Show (Blind a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

showsPrec :: Int -> Blind a -> ShowS #

show :: Blind a -> String #

showList :: [Blind a] -> ShowS #

Eq a => Eq (Blind a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

(==) :: Blind a -> Blind a -> Bool #

(/=) :: Blind a -> Blind a -> Bool #

Ord a => Ord (Blind a) 
Instance details

Defined in Test.QuickCheck.Modifiers

Methods

compare :: Blind a -> Blind a -> Ordering #

(<) :: Blind a -> Blind a -> Bool #

(<=) :: Blind a -> Blind a -> Bool #

(>) :: Blind a -> Blind a -> Bool #

(>=) :: Blind a -> Blind a -> Bool #

max :: Blind a -> Blind a -> Blind a #

min :: Blind a -> Blind a -> Blind a #

class Function a where #

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.

Minimal complete definition

Nothing

Methods

function :: (a -> b) -> a :-> b #

Instances

Instances details
Function A 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (A -> b) -> A :-> b #

Function B 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (B -> b) -> B :-> b #

Function C 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (C -> b) -> C :-> b #

Function OrdA 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (OrdA -> b) -> OrdA :-> b #

Function OrdB 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (OrdB -> b) -> OrdB :-> b #

Function OrdC 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (OrdC -> b) -> OrdC :-> b #

Function All 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (All -> b) -> All :-> b #

Function Any 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Any -> b) -> Any :-> b #

Function Newline 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Newline -> b) -> Newline :-> b #

Function NewlineMode 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (NewlineMode -> b) -> NewlineMode :-> b #

Function Int16 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Int16 -> b) -> Int16 :-> b #

Function Int32 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Int32 -> b) -> Int32 :-> b #

Function Int64 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Int64 -> b) -> Int64 :-> b #

Function Int8 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Int8 -> b) -> Int8 :-> b #

Function Word16 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Word16 -> b) -> Word16 :-> b #

Function Word32 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Word32 -> b) -> Word32 :-> b #

Function Word64 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Word64 -> b) -> Word64 :-> b #

Function Word8 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Word8 -> b) -> Word8 :-> b #

Function IntSet 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (IntSet -> b) -> IntSet :-> b #

Function Ordering 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Ordering -> b) -> Ordering :-> b #

Function Ix2 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

function :: (Ix2 -> b) -> Ix2 :-> b #

Function Ix3 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

function :: (Ix3 -> b) -> Ix3 :-> b #

Function Ix4 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

function :: (Ix4 -> b) -> Ix4 :-> b #

Function Ix5 Source # 
Instance details

Defined in Test.Massiv.Core.Index

Methods

function :: (Ix5 -> b) -> Ix5 :-> b #

Function Integer 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Integer -> b) -> Integer :-> b #

Function () 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (() -> b) -> () :-> b #

Function Bool 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Bool -> b) -> Bool :-> b #

Function Char 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Char -> b) -> Char :-> b #

Function Double 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Double -> b) -> Double :-> b #

Function Float 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Float -> b) -> Float :-> b #

Function Int 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Int -> b) -> Int :-> b #

Function Word 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Word -> b) -> Word :-> b #

(RealFloat a, Function a) => Function (Complex a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Complex a -> b) -> Complex a :-> b #

Function a => Function (Identity a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Identity a -> b) -> Identity a :-> b #

Function a => Function (First a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (First a -> b) -> First a :-> b #

Function a => Function (Last a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Last a -> b) -> Last a :-> b #

Function a => Function (Dual a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Dual a -> b) -> Dual a :-> b #

Function a => Function (Product a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Product a -> b) -> Product a :-> b #

Function a => Function (Sum a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Sum a -> b) -> Sum a :-> b #

(Integral a, Function a) => Function (Ratio a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Ratio a -> b) -> Ratio a :-> b #

Function a => Function (IntMap a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (IntMap a -> b) -> IntMap a :-> b #

Function a => Function (Seq a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Seq a -> b) -> Seq a :-> b #

(Ord a, Function a) => Function (Set a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Set a -> b) -> Set a :-> b #

Function a => Function (Tree a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Tree a -> b) -> Tree a :-> b #

Function a => Function (Maybe a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Maybe a -> b) -> Maybe a :-> b #

Function a => Function [a] 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: ([a] -> b) -> [a] :-> b #

(Function a, Function b) => Function (Either a b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Either a b -> b0) -> Either a b :-> b0 #

HasResolution a => Function (Fixed a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Fixed a -> b) -> Fixed a :-> b #

(Ord a, Function a, Function b) => Function (Map a b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Map a b -> b0) -> Map a b :-> b0 #

(Function a, Function b) => Function (a, b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: ((a, b) -> b0) -> (a, b) :-> b0 #

Function a => Function (Const a b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Const a b -> b0) -> Const a b :-> b0 #

Function (f a) => Function (Alt f a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: (Alt f a -> b) -> Alt f a :-> b #

(Function a, Function b, Function c) => Function (a, b, c) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: ((a, b, c) -> b0) -> (a, b, c) :-> b0 #

(Function a, Function b, Function c, Function d) => Function (a, b, c, d) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: ((a, b, c, d) -> b0) -> (a, b, c, d) :-> b0 #

(Function a, Function b, Function c, Function d, Function e) => Function (a, b, c, d, e) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: ((a, b, c, d, e) -> b0) -> (a, b, c, d, e) :-> b0 #

(Function a, Function b, Function c, Function d, Function e, Function f) => Function (a, b, c, d, e, f) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: ((a, b, c, d, e, f) -> b0) -> (a, b, c, d, e, f) :-> b0 #

(Function a, Function b, Function c, Function d, Function e, Function f, Function g) => Function (a, b, c, d, e, f, g) 
Instance details

Defined in Test.QuickCheck.Function

Methods

function :: ((a, b, c, d, e, f, g) -> b0) -> (a, b, c, d, e, f, g) :-> b0 #

data a :-> c #

The type of possibly partial concrete functions

Instances

Instances details
Functor ((:->) a) 
Instance details

Defined in Test.QuickCheck.Function

Methods

fmap :: (a0 -> b) -> (a :-> a0) -> a :-> b #

(<$) :: a0 -> (a :-> b) -> a :-> a0 #

(Function a, CoArbitrary a, Arbitrary b) => Arbitrary (a :-> b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

arbitrary :: Gen (a :-> b) #

shrink :: (a :-> b) -> [a :-> b] #

(Show a, Show b) => Show (a :-> b) 
Instance details

Defined in Test.QuickCheck.Function

Methods

showsPrec :: Int -> (a :-> b) -> ShowS #

show :: (a :-> b) -> String #

showList :: [a :-> b] -> ShowS #

data Confidence #

The statistical parameters used by checkCoverage.

Constructors

Confidence 

Fields

  • certainty :: Integer

    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.

  • tolerance :: Double

    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.

Instances

Instances details
Show Confidence 
Instance details

Defined in Test.QuickCheck.State

data Witness #

Constructors

(Typeable a, Show a) => Wit a 

Instances

Instances details
Show Witness 
Instance details

Defined in Test.QuickCheck.Property

data Discard #

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

Constructors

Discard 

Instances

Instances details
Testable Discard 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Discard -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Discard) -> Property #

data Property #

The type of properties.

Instances

Instances details
Testable Property 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Property -> Property #

propertyForAllShrinkShow :: Gen a -> (a -> [a]) -> (a -> [String]) -> (a -> Property) -> Property #

type Arg Property 
Instance details

Defined in Test.Hspec.Core.QuickCheck

type Arg Property = ()
type Arg (a -> Property) 
Instance details

Defined in Test.Hspec.Core.QuickCheck

type Arg (a -> Property) = a

data Args #

Args specifies arguments to the QuickCheck driver

Constructors

Args 

Fields

  • replay :: Maybe (QCGen, Int)

    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.

  • maxSuccess :: 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.

  • maxDiscardRatio :: Int

    Maximum number of discarded tests per successful test before giving up

  • maxSize :: Int

    Size to use for the biggest test cases

  • chatty :: Bool

    Whether to print anything

  • maxShrinks :: Int

    Maximum number of shrinks to do before giving up. Setting this to zero turns shrinking off.

Instances

Instances details
Read Args 
Instance details

Defined in Test.QuickCheck.Test

Show Args 
Instance details

Defined in Test.QuickCheck.Test

Methods

showsPrec :: Int -> Args -> ShowS #

show :: Args -> String #

showList :: [Args] -> ShowS #

newtype PropertyM (m :: Type -> Type) a #

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.

Constructors

MkPropertyM 

Fields

Instances

Instances details
MonadTrans PropertyM 
Instance details

Defined in Test.QuickCheck.Monadic

Methods

lift :: Monad m => m a -> PropertyM m a #

Monad m => MonadFail (PropertyM m) 
Instance details

Defined in Test.QuickCheck.Monadic

Methods

fail :: String -> PropertyM m a #

MonadIO m => MonadIO (PropertyM m) 
Instance details

Defined in Test.QuickCheck.Monadic

Methods

liftIO :: IO a -> PropertyM m a #

Applicative (PropertyM m) 
Instance details

Defined in Test.QuickCheck.Monadic

Methods

pure :: a -> PropertyM m a #

(<*>) :: PropertyM m (a -> b) -> PropertyM m a -> PropertyM m b #

liftA2 :: (a -> b -> c) -> PropertyM m a -> PropertyM m b -> PropertyM m c #

(*>) :: PropertyM m a -> PropertyM m b -> PropertyM m b #

(<*) :: PropertyM m a -> PropertyM m b -> PropertyM m a #

Functor (PropertyM m) 
Instance details

Defined in Test.QuickCheck.Monadic

Methods

fmap :: (a -> b) -> PropertyM m a -> PropertyM m b #

(<$) :: a -> PropertyM m b -> PropertyM m a #

Monad m => Monad (PropertyM m) 
Instance details

Defined in Test.QuickCheck.Monadic

Methods

(>>=) :: PropertyM m a -> (a -> PropertyM m b) -> PropertyM m b #

(>>) :: PropertyM m a -> PropertyM m b -> PropertyM m b #

return :: a -> PropertyM m a #

data ST s a #

The strict ST monad. The ST monad allows for destructive updates, but is escapable (unlike IO). A computation of type ST s a returns a value of type a, and execute in "thread" s. The s parameter is either

  • an uninstantiated type variable (inside invocations of runST), or
  • RealWorld (inside invocations of stToIO).

It serves to keep the internal states of different invocations of runST separate from each other and from invocations of stToIO.

The >>= and >> operations are strict in the state (though not in values stored in the state). For example,

runST (writeSTRef _|_ v >>= f) = _|_

Instances

Instances details
Applicative (ST s)

Since: base-4.4.0.0

Instance details

Defined in GHC.ST

Methods

pure :: a -> ST s a #

(<*>) :: ST s (a -> b) -> ST s a -> ST s b #

liftA2 :: (a -> b -> c) -> ST s a -> ST s b -> ST s c #

(*>) :: ST s a -> ST s b -> ST s b #

(<*) :: ST s a -> ST s b -> ST s a #

Functor (ST s)

Since: base-2.1

Instance details

Defined in GHC.ST

Methods

fmap :: (a -> b) -> ST s a -> ST s b #

(<$) :: a -> ST s b -> ST s a #

Monad (ST s)

Since: base-2.1

Instance details

Defined in GHC.ST

Methods

(>>=) :: ST s a -> (a -> ST s b) -> ST s b #

(>>) :: ST s a -> ST s b -> ST s b #

return :: a -> ST s a #

MonadThrow (ST s) 
Instance details

Defined in Control.Monad.Catch

Methods

throwM :: (HasCallStack, Exception e) => e -> ST s a #

PrimBase (ST s) 
Instance details

Defined in Control.Monad.Primitive

Methods

internal :: ST s a -> State# (PrimState (ST s)) -> (# State# (PrimState (ST s)), a #) #

PrimMonad (ST s) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (ST s) #

Methods

primitive :: (State# (PrimState (ST s)) -> (# State# (PrimState (ST s)), a #)) -> ST s a #

RandomGen g => FrozenGen (STGen g) (ST s) 
Instance details

Defined in System.Random.Stateful

Associated Types

type MutableGen (STGen g) (ST s) = (g :: Type) #

Methods

freezeGen :: MutableGen (STGen g) (ST s) -> ST s (STGen g) #

thawGen :: STGen g -> ST s (MutableGen (STGen g) (ST s)) #

Monoid a => Monoid (ST s a)

Since: base-4.11.0.0

Instance details

Defined in GHC.ST

Methods

mempty :: ST s a #

mappend :: ST s a -> ST s a -> ST s a #

mconcat :: [ST s a] -> ST s a #

Semigroup a => Semigroup (ST s a)

Since: base-4.11.0.0

Instance details

Defined in GHC.ST

Methods

(<>) :: ST s a -> ST s a -> ST s a #

sconcat :: NonEmpty (ST s a) -> ST s a #

stimes :: Integral b => b -> ST s a -> ST s a #

Show (ST s a)

Since: base-2.1

Instance details

Defined in GHC.ST

Methods

showsPrec :: Int -> ST s a -> ShowS #

show :: ST s a -> String #

showList :: [ST s a] -> ShowS #

RandomGen r => RandomGenM (STGenM r s) r (ST s) 
Instance details

Defined in System.Random.Stateful

Methods

applyRandomGenM :: (r -> (a, r)) -> STGenM r s -> ST s a #

RandomGen g => StatefulGen (STGenM g s) (ST s) 
Instance details

Defined in System.Random.Stateful

type PrimState (ST s) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ST s) = s
type MutableGen (STGen g) (ST s) 
Instance details

Defined in System.Random.Stateful

type MutableGen (STGen g) (ST s) = STGenM g s

type Selector a = a -> Bool #

A Selector is a predicate; it can simultaneously constrain the type and value of an exception.

class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where #

Monads that also support choice and failure.

Minimal complete definition

Nothing

Methods

mzero :: m a #

The identity of mplus. It should also satisfy the equations

mzero >>= f  =  mzero
v >> mzero   =  mzero

The default definition is

mzero = empty

mplus :: m a -> m a -> m a #

An associative operation. The default definition is

mplus = (<|>)

Instances

Instances details
MonadPlus P

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

mzero :: P a #

mplus :: P a -> P a -> P a #

MonadPlus ReadP

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

mzero :: ReadP a #

mplus :: ReadP a -> ReadP a -> ReadP a #

MonadPlus Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

mzero :: Seq a #

mplus :: Seq a -> Seq a -> Seq a #

MonadPlus IO

Takes the first non-throwing IO action's result. mzero throws an exception.

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mzero :: IO a #

mplus :: IO a -> IO a -> IO a #

MonadPlus Array 
Instance details

Defined in Data.Primitive.Array

Methods

mzero :: Array a #

mplus :: Array a -> Array a -> Array a #

MonadPlus SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

MonadPlus Vector 
Instance details

Defined in Data.Vector

Methods

mzero :: Vector a #

mplus :: Vector a -> Vector a -> Vector a #

MonadPlus Vector 
Instance details

Defined in Data.Vector.Strict

Methods

mzero :: Vector a #

mplus :: Vector a -> Vector a -> Vector a #

MonadPlus Maybe

Picks the leftmost Just value, or, alternatively, Nothing.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mzero :: Maybe a #

mplus :: Maybe a -> Maybe a -> Maybe a #

MonadPlus List

Combines lists by concatenation, starting from the empty list.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mzero :: [a] #

mplus :: [a] -> [a] -> [a] #

MonadPlus (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

mzero :: Proxy a #

mplus :: Proxy a -> Proxy a -> Proxy a #

MonadPlus (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: U1 a #

mplus :: U1 a -> U1 a -> U1 a #

MonadPlus f => MonadPlus (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: Rec1 f a #

mplus :: Rec1 f a -> Rec1 f a -> Rec1 f a #

(Monoid w, Functor m, MonadPlus m) => MonadPlus (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

mzero :: AccumT w m a #

mplus :: AccumT w m a -> AccumT w m a -> AccumT w m a #

MonadPlus m => MonadPlus (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

mzero :: SelectT r m a #

mplus :: SelectT r m a -> SelectT r m a -> SelectT r m a #

(Functor m, MonadPlus m) => MonadPlus (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

mzero :: WriterT w m a #

mplus :: WriterT w m a -> WriterT w m a -> WriterT w m a #

(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: (f :*: g) a #

mplus :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a #

MonadPlus f => MonadPlus (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: M1 i c f a #

mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a #

(Functor m, MonadPlus m) => MonadPlus (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

mzero :: RWST r w s m a #

mplus :: RWST r w s m a -> RWST r w s m a -> RWST r w s m a #

class Typeable (a :: k) #

The class Typeable allows a concrete representation of a type to be calculated.

Minimal complete definition

typeRep#

class Monad m => MonadFail (m :: Type -> Type) where #

When a value is bound in do-notation, the pattern on the left hand side of <- might not match. In this case, this class provides a function to recover.

A Monad without a MonadFail instance may only be used in conjunction with pattern that always match, such as newtypes, tuples, data types with only a single data constructor, and irrefutable patterns (~pat).

Instances of MonadFail should satisfy the following law: fail s should be a left zero for >>=,

fail s >>= f  =  fail s

If your Monad is also MonadPlus, a popular definition is

fail _ = mzero

fail s should be an action that runs in the monad itself, not an exception (except in instances of MonadIO). In particular, fail should not be implemented in terms of error.

Since: base-4.9.0.0

Methods

fail :: String -> m a #

Instances

Instances details
MonadFail P

Since: base-4.9.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fail :: String -> P a #

MonadFail ReadP

Since: base-4.9.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fail :: String -> ReadP a #

MonadFail IO

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> IO a #

MonadFail Array 
Instance details

Defined in Data.Primitive.Array

Methods

fail :: String -> Array a #

MonadFail SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

fail :: String -> SmallArray a #

MonadFail Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

fail :: String -> Q a #

MonadFail Vector 
Instance details

Defined in Data.Vector

Methods

fail :: String -> Vector a #

MonadFail Vector 
Instance details

Defined in Data.Vector.Strict

Methods

fail :: String -> Vector a #

MonadFail Maybe

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> Maybe a #

MonadFail List

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> [a] #

Monad m => MonadFail (PropertyM m) 
Instance details

Defined in Test.QuickCheck.Monadic

Methods

fail :: String -> PropertyM m a #

(Monoid w, MonadFail m) => MonadFail (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

fail :: String -> AccumT w m a #

MonadFail m => MonadFail (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

fail :: String -> SelectT r m a #

MonadFail m => MonadFail (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

fail :: String -> WriterT w m a #

MonadFail m => MonadFail (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

fail :: String -> RWST r w s m a #

type TypeRep = SomeTypeRep #

A quantified type representation.

type HasCallStack = ?callStack :: CallStack #

Request a CallStack.

NOTE: The implicit parameter ?callStack :: CallStack is an implementation detail and should not be considered part of the CallStack API, we may decide to change the implementation in the future.

Since: base-4.9.0.0

data (a :: k1) :~~: (b :: k2) where infix 4 #

Kind heterogeneous propositional equality. Like :~:, a :~~: b is inhabited by a terminating value if and only if a is the same type as b.

Since: base-4.10.0.0

Constructors

HRefl :: forall {k1} (a :: k1). a :~~: a 

Instances

Instances details
Category ((:~~:) :: k -> k -> Type)

Since: base-4.10.0.0

Instance details

Defined in Control.Category

Methods

id :: forall (a :: k0). a :~~: a #

(.) :: forall (b :: k0) (c :: k0) (a :: k0). (b :~~: c) -> (a :~~: b) -> a :~~: c #

TestEquality ((:~~:) a :: k -> Type)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

testEquality :: forall (a0 :: k0) (b :: k0). (a :~~: a0) -> (a :~~: b) -> Maybe (a0 :~: b) #

NFData2 ((:~~:) :: Type -> Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a :~~: b) -> () #

NFData1 ((:~~:) a :: Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> (a :~~: a0) -> () #

a ~~ b => Bounded (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

minBound :: a :~~: b #

maxBound :: a :~~: b #

a ~~ b => Enum (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

succ :: (a :~~: b) -> a :~~: b #

pred :: (a :~~: b) -> a :~~: b #

toEnum :: Int -> a :~~: b #

fromEnum :: (a :~~: b) -> Int #

enumFrom :: (a :~~: b) -> [a :~~: b] #

enumFromThen :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] #

enumFromTo :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] #

enumFromThenTo :: (a :~~: b) -> (a :~~: b) -> (a :~~: b) -> [a :~~: b] #

a ~~ b => Read (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

readsPrec :: Int -> ReadS (a :~~: b) #

readList :: ReadS [a :~~: b] #

readPrec :: ReadPrec (a :~~: b) #

readListPrec :: ReadPrec [a :~~: b] #

Show (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

showsPrec :: Int -> (a :~~: b) -> ShowS #

show :: (a :~~: b) -> String #

showList :: [a :~~: b] -> ShowS #

NFData (a :~~: b)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a :~~: b) -> () #

Eq (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

(==) :: (a :~~: b) -> (a :~~: b) -> Bool #

(/=) :: (a :~~: b) -> (a :~~: b) -> Bool #

Ord (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

compare :: (a :~~: b) -> (a :~~: b) -> Ordering #

(<) :: (a :~~: b) -> (a :~~: b) -> Bool #

(<=) :: (a :~~: b) -> (a :~~: b) -> Bool #

(>) :: (a :~~: b) -> (a :~~: b) -> Bool #

(>=) :: (a :~~: b) -> (a :~~: b) -> Bool #

max :: (a :~~: b) -> (a :~~: b) -> a :~~: b #

min :: (a :~~: b) -> (a :~~: b) -> a :~~: b #

data (a :: k) :~: (b :: k) where infix 4 #

Propositional equality. If a :~: b is inhabited by some terminating value, then the type a is the same as the type b. To use this equality in practice, pattern-match on the a :~: b to get out the Refl constructor; in the body of the pattern-match, the compiler knows that a ~ b.

Since: base-4.7.0.0

Constructors

Refl :: forall {k} (a :: k). a :~: a 

Instances

Instances details
Category ((:~:) :: k -> k -> Type)

Since: base-4.7.0.0

Instance details

Defined in Control.Category

Methods

id :: forall (a :: k0). a :~: a #

(.) :: forall (b :: k0) (c :: k0) (a :: k0). (b :~: c) -> (a :~: b) -> a :~: c #

TestEquality ((:~:) a :: k -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

testEquality :: forall (a0 :: k0) (b :: k0). (a :~: a0) -> (a :~: b) -> Maybe (a0 :~: b) #

NFData2 ((:~:) :: Type -> Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a :~: b) -> () #

NFData1 ((:~:) a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> (a :~: a0) -> () #

a ~ b => Bounded (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

minBound :: a :~: b #

maxBound :: a :~: b #

a ~ b => Enum (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

succ :: (a :~: b) -> a :~: b #

pred :: (a :~: b) -> a :~: b #

toEnum :: Int -> a :~: b #

fromEnum :: (a :~: b) -> Int #

enumFrom :: (a :~: b) -> [a :~: b] #

enumFromThen :: (a :~: b) -> (a :~: b) -> [a :~: b] #

enumFromTo :: (a :~: b) -> (a :~: b) -> [a :~: b] #

enumFromThenTo :: (a :~: b) -> (a :~: b) -> (a :~: b) -> [a :~: b] #

a ~ b => Read (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

readsPrec :: Int -> ReadS (a :~: b) #

readList :: ReadS [a :~: b] #

readPrec :: ReadPrec (a :~: b) #

readListPrec :: ReadPrec [a :~: b] #

Show (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

showsPrec :: Int -> (a :~: b) -> ShowS #

show :: (a :~: b) -> String #

showList :: [a :~: b] -> ShowS #

NFData (a :~: b)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a :~: b) -> () #

Eq (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

(==) :: (a :~: b) -> (a :~: b) -> Bool #

(/=) :: (a :~: b) -> (a :~: b) -> Bool #

Ord (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

compare :: (a :~: b) -> (a :~: b) -> Ordering #

(<) :: (a :~: b) -> (a :~: b) -> Bool #

(<=) :: (a :~: b) -> (a :~: b) -> Bool #

(>) :: (a :~: b) -> (a :~: b) -> Bool #

(>=) :: (a :~: b) -> (a :~: b) -> Bool #

max :: (a :~: b) -> (a :~: b) -> a :~: b #

min :: (a :~: b) -> (a :~: b) -> a :~: b #

data Proxy (t :: k) #

Proxy is a type that holds no data, but has a phantom parameter of arbitrary type (or even kind). Its use is to provide type information, even though there is no value available of that type (or it may be too costly to create one).

Historically, Proxy :: Proxy a is a safer alternative to the undefined :: a idiom.

>>> Proxy :: Proxy (Void, Int -> Int)
Proxy

Proxy can even hold types of higher kinds,

>>> Proxy :: Proxy Either
Proxy
>>> Proxy :: Proxy Functor
Proxy
>>> Proxy :: Proxy complicatedStructure
Proxy

Constructors

Proxy 

Instances

Instances details
Generic1 (Proxy :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Proxy :: k -> Type #

Methods

from1 :: forall (a :: k0). Proxy a -> Rep1 Proxy a #

to1 :: forall (a :: k0). Rep1 Proxy a -> Proxy a #

MonadZip (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: Proxy a -> Proxy b -> Proxy (a, b) #

mzipWith :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c #

munzip :: Proxy (a, b) -> (Proxy a, Proxy b) #

Foldable (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Proxy m -> m #

foldMap :: Monoid m => (a -> m) -> Proxy a -> m #

foldMap' :: Monoid m => (a -> m) -> Proxy a -> m #

foldr :: (a -> b -> b) -> b -> Proxy a -> b #

foldr' :: (a -> b -> b) -> b -> Proxy a -> b #

foldl :: (b -> a -> b) -> b -> Proxy a -> b #

foldl' :: (b -> a -> b) -> b -> Proxy a -> b #

foldr1 :: (a -> a -> a) -> Proxy a -> a #

foldl1 :: (a -> a -> a) -> Proxy a -> a #

toList :: Proxy a -> [a] #

null :: Proxy a -> Bool #

length :: Proxy a -> Int #

elem :: Eq a => a -> Proxy a -> Bool #

maximum :: Ord a => Proxy a -> a #

minimum :: Ord a => Proxy a -> a #

sum :: Num a => Proxy a -> a #

product :: Num a => Proxy a -> a #

Eq1 (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> Proxy a -> Proxy b -> Bool #

Ord1 (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> Proxy a -> Proxy b -> Ordering #

Read1 (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Proxy a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Proxy a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Proxy a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Proxy a] #

Show1 (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Proxy a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Proxy a] -> ShowS #

Contravariant (Proxy :: Type -> Type) 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Proxy a -> Proxy a' #

(>$) :: b -> Proxy b -> Proxy a #

Traversable (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Proxy a -> f (Proxy b) #

sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) #

mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b) #

sequence :: Monad m => Proxy (m a) -> m (Proxy a) #

Alternative (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

empty :: Proxy a #

(<|>) :: Proxy a -> Proxy a -> Proxy a #

some :: Proxy a -> Proxy [a] #

many :: Proxy a -> Proxy [a] #

Applicative (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

pure :: a -> Proxy a #

(<*>) :: Proxy (a -> b) -> Proxy a -> Proxy b #

liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c #

(*>) :: Proxy a -> Proxy b -> Proxy b #

(<*) :: Proxy a -> Proxy b -> Proxy a #

Functor (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

fmap :: (a -> b) -> Proxy a -> Proxy b #

(<$) :: a -> Proxy b -> Proxy a #

Monad (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

(>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b #

(>>) :: Proxy a -> Proxy b -> Proxy b #

return :: a -> Proxy a #

MonadPlus (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

mzero :: Proxy a #

mplus :: Proxy a -> Proxy a -> Proxy a #

NFData1 (Proxy :: Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Proxy a -> () #

Hashable1 (Proxy :: Type -> Type) 
Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Proxy a -> Int #

Monoid (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

mempty :: Proxy s #

mappend :: Proxy s -> Proxy s -> Proxy s #

mconcat :: [Proxy s] -> Proxy s #

Semigroup (Proxy s)

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

(<>) :: Proxy s -> Proxy s -> Proxy s #

sconcat :: NonEmpty (Proxy s) -> Proxy s #

stimes :: Integral b => b -> Proxy s -> Proxy s #

Bounded (Proxy t)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

minBound :: Proxy t #

maxBound :: Proxy t #

Enum (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

succ :: Proxy s -> Proxy s #

pred :: Proxy s -> Proxy s #

toEnum :: Int -> Proxy s #

fromEnum :: Proxy s -> Int #

enumFrom :: Proxy s -> [Proxy s] #

enumFromThen :: Proxy s -> Proxy s -> [Proxy s] #

enumFromTo :: Proxy s -> Proxy s -> [Proxy s] #

enumFromThenTo :: Proxy s -> Proxy s -> Proxy s -> [Proxy s] #

Generic (Proxy t) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (Proxy t) :: Type -> Type #

Methods

from :: Proxy t -> Rep (Proxy t) x #

to :: Rep (Proxy t) x -> Proxy t #

Ix (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

range :: (Proxy s, Proxy s) -> [Proxy s] #

index :: (Proxy s, Proxy s) -> Proxy s -> Int #

unsafeIndex :: (Proxy s, Proxy s) -> Proxy s -> Int #

inRange :: (Proxy s, Proxy s) -> Proxy s -> Bool #

rangeSize :: (Proxy s, Proxy s) -> Int #

unsafeRangeSize :: (Proxy s, Proxy s) -> Int #

Read (Proxy t)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Show (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

showsPrec :: Int -> Proxy s -> ShowS #

show :: Proxy s -> String #

showList :: [Proxy s] -> ShowS #

NFData (Proxy a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Proxy a -> () #

Eq (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

(==) :: Proxy s -> Proxy s -> Bool #

(/=) :: Proxy s -> Proxy s -> Bool #

Ord (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

compare :: Proxy s -> Proxy s -> Ordering #

(<) :: Proxy s -> Proxy s -> Bool #

(<=) :: Proxy s -> Proxy s -> Bool #

(>) :: Proxy s -> Proxy s -> Bool #

(>=) :: Proxy s -> Proxy s -> Bool #

max :: Proxy s -> Proxy s -> Proxy s #

min :: Proxy s -> Proxy s -> Proxy s #

Hashable (Proxy a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Proxy a -> Int #

hash :: Proxy a -> Int #

type Rep1 (Proxy :: k -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Proxy :: k -> Type) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: k -> Type))
type Rep (Proxy t)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep (Proxy t) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: Type -> Type))

class Example e #

A type class for examples

Minimal complete definition

evaluateExample

Associated Types

type Arg e #

type Arg e = ()

Instances

Instances details
Example Result 
Instance details

Defined in Test.Hspec.Core.Example

Associated Types

type Arg Result #

Example Expectation 
Instance details

Defined in Test.Hspec.Core.Example

Associated Types

type Arg Expectation #

Example Bool 
Instance details

Defined in Test.Hspec.Core.Example

Associated Types

type Arg Bool #

Example (a -> Result) 
Instance details

Defined in Test.Hspec.Core.Example

Associated Types

type Arg (a -> Result) #

Methods

evaluateExample :: (a -> Result) -> Params -> (ActionWith (Arg (a -> Result)) -> IO ()) -> ProgressCallback -> IO Result #

Example (a -> Expectation) 
Instance details

Defined in Test.Hspec.Core.Example

Associated Types

type Arg (a -> Expectation) #

Methods

evaluateExample :: (a -> Expectation) -> Params -> (ActionWith (Arg (a -> Expectation)) -> IO ()) -> ProgressCallback -> IO Result #

Example (a -> Bool) 
Instance details

Defined in Test.Hspec.Core.Example

Associated Types

type Arg (a -> Bool) #

Methods

evaluateExample :: (a -> Bool) -> Params -> (ActionWith (Arg (a -> Bool)) -> IO ()) -> ProgressCallback -> IO Result #

type family Arg e #

Instances

Instances details
type Arg Property 
Instance details

Defined in Test.Hspec.Core.QuickCheck

type Arg Property = ()
type Arg Result 
Instance details

Defined in Test.Hspec.Core.Example

type Arg Result = ()
type Arg Expectation 
Instance details

Defined in Test.Hspec.Core.Example

type Arg Expectation = ()
type Arg Bool 
Instance details

Defined in Test.Hspec.Core.Example

type Arg Bool = ()
type Arg (a -> Property) 
Instance details

Defined in Test.Hspec.Core.QuickCheck

type Arg (a -> Property) = a
type Arg (a -> Result) 
Instance details

Defined in Test.Hspec.Core.Example

type Arg (a -> Result) = a
type Arg (a -> Expectation) 
Instance details

Defined in Test.Hspec.Core.Example

type Arg (a -> Expectation) = a
type Arg (a -> Bool) 
Instance details

Defined in Test.Hspec.Core.Example

type Arg (a -> Bool) = a

class NFData a #

A class of types that can be fully evaluated.

Since: deepseq-1.1.0.0

Instances

Instances details
NFData ByteArray

Since: deepseq-1.4.7.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: ByteArray -> () #

NFData All

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: All -> () #

NFData Any

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Any -> () #

NFData TypeRep

NOTE: Prior to deepseq-1.4.4.0 this instance was only defined for base-4.8.0.0 and later.

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: TypeRep -> () #

NFData Unique

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Unique -> () #

NFData Version

Since: deepseq-1.3.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Version -> () #

NFData CBool

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CBool -> () #

NFData CChar

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CChar -> () #

NFData CClock

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CClock -> () #

NFData CDouble

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CDouble -> () #

NFData CFile

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CFile -> () #

NFData CFloat

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CFloat -> () #

NFData CFpos

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CFpos -> () #

NFData CInt

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CInt -> () #

NFData CIntMax

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CIntMax -> () #

NFData CIntPtr

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CIntPtr -> () #

NFData CJmpBuf

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CJmpBuf -> () #

NFData CLLong

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CLLong -> () #

NFData CLong

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CLong -> () #

NFData CPtrdiff

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CPtrdiff -> () #

NFData CSChar

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CSChar -> () #

NFData CSUSeconds

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CSUSeconds -> () #

NFData CShort

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CShort -> () #

NFData CSigAtomic

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CSigAtomic -> () #

NFData CSize

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CSize -> () #

NFData CTime

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CTime -> () #

NFData CUChar

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUChar -> () #

NFData CUInt

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUInt -> () #

NFData CUIntMax

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUIntMax -> () #

NFData CUIntPtr

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUIntPtr -> () #

NFData CULLong

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CULLong -> () #

NFData CULong

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CULong -> () #

NFData CUSeconds

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUSeconds -> () #

NFData CUShort

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUShort -> () #

NFData CWchar

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CWchar -> () #

NFData Void

Defined as rnf = absurd.

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Void -> () #

NFData ThreadId

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: ThreadId -> () #

NFData Fingerprint

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Fingerprint -> () #

NFData MaskingState

Since: deepseq-1.4.4.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: MaskingState -> () #

NFData ExitCode

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: ExitCode -> () #

NFData Int16 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int16 -> () #

NFData Int32 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int32 -> () #

NFData Int64 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int64 -> () #

NFData Int8 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int8 -> () #

NFData CallStack

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CallStack -> () #

NFData SrcLoc

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: SrcLoc -> () #

NFData Word16 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word16 -> () #

NFData Word32 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word32 -> () #

NFData Word64 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word64 -> () #

NFData Word8 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word8 -> () #

NFData IntSet 
Instance details

Defined in Data.IntSet.Internal

Methods

rnf :: IntSet -> () #

NFData OsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: OsChar -> () #

NFData OsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: OsString -> () #

NFData PosixChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: PosixChar -> () #

NFData PosixString 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: PosixString -> () #

NFData WindowsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: WindowsChar -> () #

NFData WindowsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: WindowsString -> () #

NFData Module

Since: deepseq-1.4.8.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Module -> () #

NFData Ordering 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Ordering -> () #

NFData TyCon

NOTE: Prior to deepseq-1.4.4.0 this instance was only defined for base-4.8.0.0 and later.

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: TyCon -> () #

NFData FailureReason 
Instance details

Defined in Test.Hspec.Core.Example

Methods

rnf :: FailureReason -> () #

NFData Dim 
Instance details

Defined in Data.Massiv.Core.Index.Internal

Methods

rnf :: Dim -> () #

NFData IndexException 
Instance details

Defined in Data.Massiv.Core.Index.Internal

Methods

rnf :: IndexException -> () #

NFData Ix0 
Instance details

Defined in Data.Massiv.Core.Index.Internal

Methods

rnf :: Ix0 -> () #

NFData SizeException 
Instance details

Defined in Data.Massiv.Core.Index.Internal

Methods

rnf :: SizeException -> () #

NFData Ix2 
Instance details

Defined in Data.Massiv.Core.Index.Ix

Methods

rnf :: Ix2 -> () #

NFData OsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: OsChar -> () #

NFData OsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: OsString -> () #

NFData PosixChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: PosixChar -> () #

NFData PosixString 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: PosixString -> () #

NFData WindowsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: WindowsChar -> () #

NFData WindowsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

rnf :: WindowsString -> () #

NFData TextDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

rnf :: TextDetails -> () #

NFData Doc 
Instance details

Defined in Text.PrettyPrint.HughesPJ

Methods

rnf :: Doc -> () #

NFData StdGen 
Instance details

Defined in System.Random.Internal

Methods

rnf :: StdGen -> () #

NFData Comp 
Instance details

Defined in Control.Scheduler.Computation

Methods

rnf :: Comp -> () #

NFData LocalTime 
Instance details

Defined in Data.Time.LocalTime.Internal.LocalTime

Methods

rnf :: LocalTime -> () #

NFData ZonedTime 
Instance details

Defined in Data.Time.LocalTime.Internal.ZonedTime

Methods

rnf :: ZonedTime -> () #

NFData Integer 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Integer -> () #

NFData Natural

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Natural -> () #

NFData () 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: () -> () #

NFData Bool 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Bool -> () #

NFData Char 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Char -> () #

NFData Double 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Double -> () #

NFData Float 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Float -> () #

NFData Int 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int -> () #

NFData Word 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word -> () #

NFData a => NFData (ZipList a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: ZipList a -> () #

NFData (MutableByteArray s)

Since: deepseq-1.4.8.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: MutableByteArray s -> () #

NFData a => NFData (Complex a) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Complex a -> () #

NFData a => NFData (Identity a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Identity a -> () #

NFData a => NFData (First a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: First a -> () #

NFData a => NFData (Last a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Last a -> () #

NFData a => NFData (Down a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Down a -> () #

NFData a => NFData (First a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: First a -> () #

NFData a => NFData (Last a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Last a -> () #

NFData a => NFData (Max a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Max a -> () #

NFData a => NFData (Min a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Min a -> () #

NFData m => NFData (WrappedMonoid m)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: WrappedMonoid m -> () #

NFData a => NFData (Dual a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Dual a -> () #

NFData a => NFData (Product a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Product a -> () #

NFData a => NFData (Sum a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Sum a -> () #

NFData a => NFData (NonEmpty a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: NonEmpty a -> () #

NFData (IORef a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: IORef a -> () #

NFData (MVar a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: MVar a -> () #

NFData (FunPtr a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: FunPtr a -> () #

NFData (Ptr a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Ptr a -> () #

NFData a => NFData (Ratio a) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Ratio a -> () #

NFData (StableName a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: StableName a -> () #

NFData a => NFData (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

rnf :: IntMap a -> () #

NFData a => NFData (Digit a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: Digit a -> () #

NFData a => NFData (Elem a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: Elem a -> () #

NFData a => NFData (FingerTree a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: FingerTree a -> () #

NFData a => NFData (Node a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: Node a -> () #

NFData a => NFData (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: Seq a -> () #

NFData a => NFData (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

rnf :: Set a -> () #

NFData a => NFData (Tree a) 
Instance details

Defined in Data.Tree

Methods

rnf :: Tree a -> () #

NFData a => NFData (Hashed a) 
Instance details

Defined in Data.Hashable.Class

Methods

rnf :: Hashed a -> () #

NFData e => NFData (Border e) 
Instance details

Defined in Data.Massiv.Core.Index

Methods

rnf :: Border e -> () #

NFData ix => NFData (Sz ix) 
Instance details

Defined in Data.Massiv.Core.Index.Internal

Methods

rnf :: Sz ix -> () #

NFData (IxN n) 
Instance details

Defined in Data.Massiv.Core.Index.Ix

Methods

rnf :: IxN n -> () #

NFData ix => NFData (Stride ix) 
Instance details

Defined in Data.Massiv.Core.Index.Stride

Methods

rnf :: Stride ix -> () #

NFData a => NFData (AnnotDetails a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

rnf :: AnnotDetails a -> () #

NFData a => NFData (Doc a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

rnf :: Doc a -> () #

NFData a => NFData (Array a) 
Instance details

Defined in Data.Primitive.Array

Methods

rnf :: Array a -> () #

NFData (PrimArray a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

rnf :: PrimArray a -> () #

NFData a => NFData (SmallArray a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

rnf :: SmallArray a -> () #

NFData g => NFData (StateGen g) 
Instance details

Defined in System.Random.Internal

Methods

rnf :: StateGen g -> () #

NFData g => NFData (AtomicGen g) 
Instance details

Defined in System.Random.Stateful

Methods

rnf :: AtomicGen g -> () #

NFData g => NFData (IOGen g) 
Instance details

Defined in System.Random.Stateful

Methods

rnf :: IOGen g -> () #

NFData g => NFData (STGen g) 
Instance details

Defined in System.Random.Stateful

Methods

rnf :: STGen g -> () #

NFData g => NFData (TGen g) 
Instance details

Defined in System.Random.Stateful

Methods

rnf :: TGen g -> () #

NFData a => NFData (Vector a) 
Instance details

Defined in Data.Vector

Methods

rnf :: Vector a -> () #

NFData (Vector a) 
Instance details

Defined in Data.Vector.Primitive

Methods

rnf :: Vector a -> () #

NFData (Vector a) 
Instance details

Defined in Data.Vector.Storable

Methods

rnf :: Vector a -> () #

NFData a => NFData (Vector a) 
Instance details

Defined in Data.Vector.Strict

Methods

rnf :: Vector a -> () #

NFData (Vector a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Methods

rnf :: Vector a -> () #

NFData a => NFData (Maybe a) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Maybe a -> () #

NFData a => NFData (a)

Since: deepseq-1.4.6.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a) -> () #

NFData a => NFData [a] 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: [a] -> () #

(NFData a, NFData b) => NFData (Either a b) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Either a b -> () #

NFData (Fixed a)

Since: deepseq-1.3.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Fixed a -> () #

NFData (Proxy a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Proxy a -> () #

(NFData a, NFData b) => NFData (Arg a b)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Arg a b -> () #

NFData (TypeRep a)

Since: deepseq-1.4.8.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: TypeRep a -> () #

(NFData a, NFData b) => NFData (Array a b) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Array a b -> () #

NFData (STRef s a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: STRef s a -> () #

(NFData k, NFData a) => NFData (Map k a) 
Instance details

Defined in Data.Map.Internal

Methods

rnf :: Map k a -> () #

NFData (MutablePrimArray s a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

rnf :: MutablePrimArray s a -> () #

NFData (MVector s a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Methods

rnf :: MVector s a -> () #

(NFData a, NFData b) => NFData (a, b) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a, b) -> () #

NFData (a -> b)

This instance is for convenience and consistency with seq. This assumes that WHNF is equivalent to NF for functions.

Since: deepseq-1.3.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a -> b) -> () #

NFData a => NFData (Const a b)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Const a b -> () #

NFData (a :~: b)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a :~: b) -> () #

Index ix => NFData (Stencil ix e a) 
Instance details

Defined in Data.Massiv.Array.Stencil.Internal

Methods

rnf :: Stencil ix e a -> () #

(Index ix, NFData e) => NFData (Array B ix e) 
Instance details

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

rnf :: Array B ix e -> () #

(Index ix, NFData e) => NFData (Array BL ix e) 
Instance details

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

rnf :: Array BL ix e -> () #

NFData (Array BN ix e)

O(1) - BN is already in normal form

Instance details

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

rnf :: Array BN ix e -> () #

Index ix => NFData (Array P ix e) 
Instance details

Defined in Data.Massiv.Array.Manifest.Primitive

Methods

rnf :: Array P ix e -> () #

NFData ix => NFData (Array S ix e) 
Instance details

Defined in Data.Massiv.Array.Manifest.Storable

Methods

rnf :: Array S ix e -> () #

NFData ix => NFData (Array U ix e) 
Instance details

Defined in Data.Massiv.Array.Manifest.Unboxed

Methods

rnf :: Array U ix e -> () #

(NFData a1, NFData a2, NFData a3) => NFData (a1, a2, a3) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3) -> () #

(NFData1 f, NFData1 g, NFData a) => NFData (Product f g a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Product f g a -> () #

(NFData1 f, NFData1 g, NFData a) => NFData (Sum f g a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Sum f g a -> () #

NFData (a :~~: b)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a :~~: b) -> () #

NFData ix => NFData (MArray s P ix e) 
Instance details

Defined in Data.Massiv.Array.Manifest.Primitive

Methods

rnf :: MArray s P ix e -> () #

NFData ix => NFData (MArray s S ix e) 
Instance details

Defined in Data.Massiv.Array.Manifest.Storable

Methods

rnf :: MArray s S ix e -> () #

NFData ix => NFData (MArray s U ix e) 
Instance details

Defined in Data.Massiv.Array.Manifest.Unboxed

Methods

rnf :: MArray s U ix e -> () #

(NFData a1, NFData a2, NFData a3, NFData a4) => NFData (a1, a2, a3, a4) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4) -> () #

(NFData1 f, NFData1 g, NFData a) => NFData (Compose f g a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Compose f g a -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData (a1, a2, a3, a4, a5) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData (a1, a2, a3, a4, a5, a6) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData (a1, a2, a3, a4, a5, a6, a7) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6, a7) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8) => NFData (a1, a2, a3, a4, a5, a6, a7, a8) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6, a7, a8) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8, NFData a9) => NFData (a1, a2, a3, a4, a5, a6, a7, a8, a9) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6, a7, a8, a9) -> () #

type ActionWith a = a -> IO () #

An IO action that expects an argument of type a

type SpecWith a = SpecM a () #

type Spec = SpecWith () #

data Laws #

A set of laws associated with a typeclass.

Note: Most of the top-level functions provided by this library have the shape `forall a. (Ctx a) => Proxy a -> Laws`. You can just as easily provide your own Laws in libraries/test suites using regular QuickCheck machinery.

Constructors

Laws 

Fields

data Proxy2 (f :: Type -> Type -> Type) #

In older versions of GHC, Proxy is not poly-kinded, so we provide Proxy2.

Constructors

Proxy2 

data Proxy1 (f :: Type -> Type) #

In older versions of GHC, Proxy is not poly-kinded, so we provide Proxy1.

Constructors

Proxy1 

pattern Fn3 :: (a -> b -> c -> d) -> Fun (a, b, c) d #

A modifier for testing ternary functions.

pattern Fn2 :: (a -> b -> c) -> Fun (a, b) c #

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 Fn :: (a -> b) -> Fun a b #

A modifier for testing functions.

prop :: Fun String Integer -> Bool
prop (Fn f) = f "banana" == f "monkey"
           || f "banana" == f "elephant"

deepseq :: NFData a => a -> b -> b infixr 0 #

deepseq: fully evaluates the first argument, before returning the second.

The name deepseq is used to illustrate the relationship to seq: where seq is shallow in the sense that it only evaluates the top level of its argument, deepseq traverses the entire data structure evaluating it completely.

deepseq can be useful for forcing pending exceptions, eradicating space leaks, or forcing lazy I/O to happen. It is also useful in conjunction with parallel Strategies (see the parallel package).

There is no guarantee about the ordering of evaluation. The implementation may evaluate the components of the structure in any order or in parallel. To impose an actual order on evaluation, use pseq from Control.Parallel in the parallel package.

Since: deepseq-1.1.0.0

hspec :: Spec -> IO () #

Run a given spec and write a report to stdout. Exit with exitFailure if at least one spec item fails.

Note: hspec handles command-line options and reads config files. This is not always desirable. Use evalSpec and runSpecForest if you need more control over these aspects.

vector :: Arbitrary a => Int -> Gen [a] #

Generates a list of a given length.

assert :: forall (m :: Type -> Type). Monad m => Bool -> PropertyM m () #

Allows embedding non-monadic properties into monadic ones.

(==>) :: Testable prop => Bool -> prop -> Property infixr 0 #

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.

join :: Monad m => m (m a) -> m a #

The join function is the conventional monad join operator. It is used to remove one level of monadic structure, projecting its bound argument into the outer level.

'join bss' can be understood as the do expression

do bs <- bss
   bs

Examples

Expand

A common use of join is to run an IO computation returned from an STM transaction, since STM transactions can't perform IO directly. Recall that

atomically :: STM a -> IO a

is used to run STM transactions atomically. So, by specializing the types of atomically and join to

atomically :: STM (IO b) -> IO (IO b)
join       :: IO (IO b)  -> IO b

we can compose them as

join . atomically :: STM (IO b) -> IO b

to run an STM transaction and the IO action it returns.

discard :: a #

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.

variant :: Integral n => n -> Gen a -> Gen a #

Modifies a generator using an integer seed.

sized :: (Int -> 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.

getSize :: Gen Int #

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.

resize :: HasCallStack => Int -> Gen a -> Gen a #

Overrides the size parameter. Returns a generator which uses the given size instead of the runtime-size parameter.

scale :: (Int -> Int) -> Gen a -> Gen a #

Adjust the size parameter, by transforming it with the given function.

choose :: Random a => (a, 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.

chooseAny :: Random a => Gen a #

Generates a random element over the natural range of a.

chooseEnum :: Enum a => (a, a) -> Gen a #

A fast implementation of choose for enumerated types.

chooseInt :: (Int, Int) -> Gen Int #

A fast implementation of choose for Int.

chooseBoundedIntegral :: (Bounded a, Integral a) => (a, a) -> Gen a #

A fast implementation of choose for bounded integral types.

chooseInteger :: (Integer, Integer) -> Gen Integer #

A fast implementation of choose for Integer.

generate :: Gen a -> IO a #

Run a generator. The size passed to the generator is always 30; if you want another size then you should explicitly use resize.

sample' :: Gen a -> IO [a] #

Generates some example values.

sample :: Show a => Gen a -> IO () #

Generates some example values and prints them to stdout.

suchThat :: Gen a -> (a -> Bool) -> Gen a #

Generates a value that satisfies a predicate.

suchThatMap :: Gen a -> (a -> Maybe b) -> Gen b #

Generates a value for which the given function returns a Just, and then applies the function.

suchThatMaybe :: Gen a -> (a -> Bool) -> Gen (Maybe a) #

Tries to generate a value that satisfies a predicate. If it fails to do so after enough attempts, returns Nothing.

oneof :: HasCallStack => [Gen a] -> Gen a #

Randomly uses one of the given generators. The input list must be non-empty.

frequency :: HasCallStack => [(Int, Gen a)] -> Gen a #

Chooses one of the given generators, with a weighted random distribution. The input list must be non-empty.

elements :: HasCallStack => [a] -> Gen a #

Generates one of the given values. The input list must be non-empty.

sublistOf :: [a] -> Gen [a] #

Generates a random subsequence of the given list.

shuffle :: [a] -> Gen [a] #

Generates a random permutation of the given list.

growingElements :: 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.

listOf :: Gen a -> Gen [a] #

Generates a list of random length. The maximum length depends on the size parameter.

listOf1 :: Gen a -> Gen [a] #

Generates a non-empty list of random length. The maximum length depends on the size parameter.

vectorOf :: Int -> Gen a -> Gen [a] #

Generates a list of the given length.

infiniteListOf :: Gen a -> Gen [a] #

Generates an infinite list.

arbitrary1 :: (Arbitrary1 f, Arbitrary a) => Gen (f a) #

shrink1 :: (Arbitrary1 f, Arbitrary a) => f a -> [f a] #

arbitrary2 :: (Arbitrary2 f, Arbitrary a, Arbitrary b) => Gen (f a b) #

shrink2 :: (Arbitrary2 f, Arbitrary a, Arbitrary b) => f a b -> [f a b] #

genericShrink :: (Generic a, RecursivelyShrink (Rep a), GSubterms (Rep a) a) => a -> [a] #

Shrink a term to any of its immediate subterms, and also recursively shrink all subterms.

recursivelyShrink :: (Generic a, RecursivelyShrink (Rep a)) => a -> [a] #

Recursively shrink all immediate subterms.

subterms :: (Generic a, GSubterms (Rep a) a) => a -> [a] #

All immediate subterms of a term.

shrinkList :: (a -> [a]) -> [a] -> [[a]] #

Shrink a list of values given a shrinking function for individual values.

applyArbitrary2 :: (Arbitrary a, Arbitrary b) => (a -> b -> r) -> Gen r #

Apply a binary function to random arguments.

applyArbitrary3 :: (Arbitrary a, Arbitrary b, Arbitrary c) => (a -> b -> c -> r) -> Gen r #

Apply a ternary function to random arguments.

applyArbitrary4 :: (Arbitrary a, Arbitrary b, Arbitrary c, Arbitrary d) => (a -> b -> c -> d -> r) -> Gen r #

Apply a function of arity 4 to random arguments.

arbitrarySizedIntegral :: Integral a => Gen a #

Generates an integral number. The number can be positive or negative and its maximum absolute value depends on the size parameter.

arbitrarySizedNatural :: Integral a => Gen a #

Generates a natural number. The number's maximum value depends on the size parameter.

arbitrarySizedFractional :: Fractional 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.

arbitraryBoundedIntegral :: (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.

arbitraryBoundedRandom :: (Bounded a, Random a) => Gen a #

Generates an element of a bounded type. The element is chosen from the entire range of the type.

arbitraryBoundedEnum :: (Bounded a, Enum a) => Gen a #

Generates an element of a bounded enumeration.

arbitrarySizedBoundedIntegral :: (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.

arbitraryUnicodeChar :: Gen Char #

Generates any Unicode character (but not a surrogate)

arbitraryASCIIChar :: Gen Char #

Generates a random ASCII character (0-127).

arbitraryPrintableChar :: Gen Char #

Generates a printable Unicode character.

shrinkNothing :: a -> [a] #

Returns no shrinking alternatives.

shrinkMap :: Arbitrary a => (a -> b) -> (b -> a) -> b -> [b] #

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

shrinkMapBy :: (a -> b) -> (b -> a) -> (a -> [a]) -> b -> [b] #

Non-overloaded version of shrinkMap.

shrinkIntegral :: Integral a => a -> [a] #

Shrink an integral number.

shrinkBoundedEnum :: (Bounded a, Enum a, Eq a) => a -> [a] #

Shrink an element of a bounded enumeration.

Example

Expand
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
[]

shrinkRealFrac :: RealFrac a => a -> [a] #

Shrink a fraction, preferring numbers with smaller numerators or denominators. See also shrinkDecimal.

shrinkDecimal :: RealFrac a => a -> [a] #

Shrink a real number, preferring numbers with shorter decimal representations. See also shrinkRealFrac.

genericCoarbitrary :: (Generic a, GCoArbitrary (Rep a)) => a -> Gen b -> Gen b #

Generic CoArbitrary implementation.

(><) :: (Gen a -> Gen a) -> (Gen a -> Gen a) -> Gen a -> Gen a #

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

coarbitraryIntegral :: Integral a => a -> Gen b -> Gen b #

A coarbitrary implementation for integral numbers.

coarbitraryReal :: Real a => a -> Gen b -> Gen b #

A coarbitrary implementation for real numbers.

coarbitraryShow :: Show a => a -> Gen b -> Gen b #

coarbitrary helper for lazy people :-).

coarbitraryEnum :: Enum a => a -> Gen b -> Gen b #

A coarbitrary implementation for enums.

orderedList :: (Ord a, Arbitrary a) => Gen [a] #

Generates an ordered list.

infiniteList :: Arbitrary a => Gen [a] #

Generates an infinite list.

functionBoundedEnum :: (Eq a, Bounded a, Enum 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]!

functionElements :: Eq a => [a] -> (a -> b) -> a :-> b #

Provides a Function instance for small finite types.

functionRealFrac :: RealFrac a => (a -> b) -> a :-> b #

Provides a Function instance for types with RealFrac.

functionIntegral :: Integral a => (a -> b) -> a :-> b #

Provides a Function instance for types with Integral.

functionShow :: (Show a, Read a) => (a -> c) -> a :-> c #

Provides a Function instance for types with Show and Read.

functionVoid :: (forall b. void -> b) -> void :-> c #

Provides a Function instance for types isomorphic to Void.

An actual Function Void instance is defined in quickcheck-instances.

functionMap :: Function b => (a -> b) -> (b -> a) -> (a -> c) -> a :-> c #

The basic building block for Function instances. Provides a Function instance by mapping to and from a type that already has a Function instance.

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

Since: QuickCheck-2.13.3

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

Since: QuickCheck-2.13.3

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

Since: QuickCheck-2.13.3

apply :: Fun a b -> a -> b #

Alias to applyFun.

applyFun :: Fun a b -> 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"

applyFun2 :: Fun (a, b) c -> a -> b -> c #

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]

applyFun3 :: Fun (a, b, c) d -> a -> b -> c -> d #

Extracts the value of a ternary function. Fn3 is the pattern equivalent of this function.

ioProperty :: Testable prop => IO prop -> 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.

idempotentIOProperty :: 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.

mapSize :: Testable prop => (Int -> Int) -> prop -> Property #

Adjust the test case size for a property, by transforming it with the given function.

shrinking #

Arguments

:: Testable prop 
=> (a -> [a])

shrink-like function.

-> a

The original argument

-> (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.

noShrinking :: Testable prop => prop -> Property #

Disables shrinking for a property altogether. Only quantification inside the call to noShrinking is affected.

counterexample :: Testable prop => String -> prop -> Property #

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

printTestCase :: Testable prop => String -> prop -> Property #

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

whenFail :: Testable prop => IO () -> 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.

verbose :: Testable prop => 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.

verboseShrinking :: 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.

expectFailure :: Testable prop => prop -> Property #

Indicates that a property is supposed to fail. QuickCheck will report an error if it does not fail.

once :: Testable prop => prop -> Property #

Modifies a property so that it only will be tested once. Opposite of again.

again :: Testable prop => prop -> Property #

Modifies a property so that it will be tested repeatedly. Opposite of once.

withMaxSuccess :: Testable prop => Int -> prop -> Property #

Configures how many times a property will be tested.

For example,

quickCheck (withMaxSuccess 1000 p)

will test p up to 1000 times.

withDiscardRatio :: 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.

withMaxShrinks :: 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.

withMaxSize :: Testable prop => Int -> prop -> Property #

Configure the maximum size a property will be tested at.

witness :: (Typeable a, Show a, Testable prop) => a -> prop -> Property #

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

checkCoverage :: Testable prop => 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)

checkCoverageWith :: Testable prop => Confidence -> 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)

stdConfidence :: Confidence #

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

label :: Testable prop => String -> 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.

collect :: (Show a, Testable prop) => a -> 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.

classify #

Arguments

:: Testable prop 
=> Bool

True if the test case should be labelled.

-> String

Label.

-> 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).

cover #

Arguments

:: Testable prop 
=> Double

The required percentage (0-100) of test cases.

-> Bool

True if the test case belongs to the class.

-> String

Label for the test case class.

-> 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%

tabulate :: Testable prop => String -> [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

coverTable :: Testable prop => String -> [(String, Double)] -> 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%

within :: 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)

discardAfter :: 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.

forAll :: (Show a, Testable prop) => Gen a -> (a -> prop) -> Property #

Explicit universal quantification: uses an explicitly given test case generator.

forAllShow :: Testable prop => Gen a -> (a -> String) -> (a -> prop) -> Property #

Like forAll, but with an explicitly given show function.

forAllBlind :: Testable prop => Gen a -> (a -> prop) -> Property #

Like forAll, but without printing the generated value.

forAllShrink :: (Show a, Testable prop) => Gen a -> (a -> [a]) -> (a -> prop) -> Property #

Like forAll, but tries to shrink the argument for failing test cases.

forAllShrinkShow :: Testable prop => Gen a -> (a -> [a]) -> (a -> String) -> (a -> prop) -> Property #

Like forAllShrink, but with an explicitly given show function.

forAllShrinkBlind :: Testable prop => Gen a -> (a -> [a]) -> (a -> prop) -> Property #

Like forAllShrink, but without printing the generated value.

(.&&.) :: (Testable prop1, Testable prop2) => prop1 -> prop2 -> Property infixr 1 #

Conjunction: p1 .&&. p2 passes if both p1 and p2 pass.

conjoin :: Testable prop => [prop] -> Property #

Take the conjunction of several properties.

(.||.) :: (Testable prop1, Testable prop2) => prop1 -> prop2 -> Property infixr 1 #

Disjunction: p1 .||. p2 passes unless p1 and p2 simultaneously fail.

disjoin :: Testable prop => [prop] -> Property #

Take the disjunction of several properties.

(===) :: (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 #

Like /=, but prints a counterexample when it fails.

total :: NFData a => a -> Property #

Checks that a value is total, i.e., doesn't crash when evaluated.

isSuccess :: Result -> Bool #

Check if the test run result was a success

stdArgs :: Args #

The default test arguments

quickCheck :: Testable prop => prop -> IO () #

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.

quickCheckWith :: Testable prop => Args -> prop -> IO () #

Tests a property, using test arguments, and prints the results to stdout.

quickCheckResult :: Testable prop => prop -> IO Result #

Tests a property, produces a test result, and prints the results to stdout.

quickCheckWithResult :: Testable prop => Args -> prop -> IO Result #

Tests a property, using test arguments, produces a test result, and prints the results to stdout.

recheck :: Testable prop => Result -> prop -> IO () #

Re-run a property with the seed and size that failed in a run of quickCheckResult.

verboseCheck :: Testable prop => prop -> IO () #

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.

verboseCheckWith :: Testable prop => Args -> 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.

verboseCheckResult :: Testable prop => 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.

verboseCheckWithResult :: Testable prop => Args -> prop -> IO Result #

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.

stop :: forall prop (m :: Type -> Type) a. (Testable prop, Monad m) => prop -> PropertyM m a #

assertWith :: forall (m :: Type -> Type). Monad m => Bool -> String -> 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

pre :: forall (m :: Type -> Type). Monad m => Bool -> 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

run :: Monad m => m a -> PropertyM m a #

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)
  -- ...

pick :: forall (m :: Type -> Type) a. (Monad m, Show a) => Gen a -> PropertyM m a #

Quantification in a monadic property, fits better with do-notation than forAllM. Note: values generated by pick do not shrink.

wp :: Monad m => m a -> (a -> PropertyM m b) -> PropertyM m b #

The weakest precondition

wp(x ← e, p)

can be expressed as in code as wp e (\x -> p).

forAllM :: forall (m :: Type -> Type) a b. (Monad m, Show a) => Gen a -> (a -> PropertyM m b) -> PropertyM m b #

Quantification in monadic properties to pick, with a notation similar to forAll. Note: values generated by forAllM do not shrink.

monitor :: forall (m :: Type -> Type). Monad m => (Property -> Property) -> PropertyM m () #

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.

monadic :: (Testable a, Monad m) => (m Property -> Property) -> PropertyM m a -> Property #

monadic' :: (Testable a, Monad m) => PropertyM m a -> Gen (m Property) #

monadicIO :: Testable a => PropertyM IO a -> 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.

monadicST :: Testable a => (forall s. PropertyM (ST s) 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.

runSTGen :: (forall s. Gen (ST s a)) -> Gen a #

assertException #

Arguments

:: Exception exc 
=> (exc -> Bool)

Return True if that is the exception that was expected

-> a

Value that should result in an exception, when evaluated to WHNF

-> Property 

Evaluate the value to Weak Head Normal Form (WHNF) and fail if it does not result in an expected exception being thrown.

assertExceptionIO #

Arguments

:: Exception exc 
=> (exc -> Bool)

Return True if that is the exception that was expected

-> IO a

An action that should throw the expected exception

-> Property 

Make sure that a specific exception is thrown during an IO action. The result is evaluated to WHNF.

polyQuickCheck :: Name -> ExpQ #

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 [].

polyVerboseCheck :: 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 [].

monomorphic :: 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 [].

forAllProperties :: 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 [].

allProperties :: 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 [].

quickCheckAll :: Q Exp #

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!

verboseCheckAll :: 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 [].

labelledExamples :: Testable prop => prop -> IO () #

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

labelledExamplesWith :: Testable prop => Args -> prop -> IO () #

A variant of labelledExamples that takes test arguments.

labelledExamplesResult :: Testable prop => prop -> IO Result #

A variant of labelledExamples that returns a result.

labelledExamplesWithResult :: Testable prop => Args -> prop -> IO Result #

A variant of labelledExamples that takes test arguments and returns a result.

mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m () #

Map each element of a structure to a monadic action, evaluate these actions from left to right, and ignore the results. For a version that doesn't ignore the results see mapM.

mapM_ is just like traverse_, but specialised to monadic actions.

forM_ :: (Foldable t, Monad m) => t a -> (a -> m b) -> m () #

forM_ is mapM_ with its arguments flipped. For a version that doesn't ignore the results see forM.

forM_ is just like for_, but specialised to monadic actions.

stToIO :: ST RealWorld a -> IO a #

Embed a strict state thread in an IO action. The RealWorld parameter indicates that the internal state used by the ST computation is a special one supplied by the IO monad, and thus distinct from those used by invocations of runST.

mapM :: (Traversable t, Monad m) => (a -> m b) -> t a -> m (t b) #

Map each element of a structure to a monadic action, evaluate these actions from left to right, and collect the results. For a version that ignores the results see mapM_.

Examples

Expand

mapM is literally a traverse with a type signature restricted to Monad. Its implementation may be more efficient due to additional power of Monad.

sequence :: (Traversable t, Monad m) => t (m a) -> m (t a) #

Evaluate each monadic action in the structure from left to right, and collect the results. For a version that ignores the results see sequence_.

Examples

Expand

Basic usage:

The first two examples are instances where the input and and output of sequence are isomorphic.

>>> sequence $ Right [1,2,3,4]
[Right 1,Right 2,Right 3,Right 4]
>>> sequence $ [Right 1,Right 2,Right 3,Right 4]
Right [1,2,3,4]

The following examples demonstrate short circuit behavior for sequence.

>>> sequence $ Left [1,2,3,4]
Left [1,2,3,4]
>>> sequence $ [Left 0, Right 1,Right 2,Right 3,Right 4]
Left 0

forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b) #

forM is mapM with its arguments flipped. For a version that ignores the results see forM_.

forever :: Applicative f => f a -> f b #

Repeat an action indefinitely.

Examples

Expand

A common use of forever is to process input from network sockets, Handles, and channels (e.g. MVar and Chan).

For example, here is how we might implement an echo server, using forever both to listen for client connections on a network socket and to echo client input on client connection handles:

echoServer :: Socket -> IO ()
echoServer socket = forever $ do
  client <- accept socket
  forkFinally (echo client) (\_ -> hClose client)
  where
    echo :: Handle -> IO ()
    echo client = forever $
      hGetLine client >>= hPutStrLn client

Note that "forever" isn't necessarily non-terminating. If the action is in a MonadPlus and short-circuits after some number of iterations. then forever actually returns mzero, effectively short-circuiting its caller.

liftM :: Monad m => (a1 -> r) -> m a1 -> m r #

Promote a function to a monad.

guard :: Alternative f => Bool -> f () #

Conditional failure of Alternative computations. Defined by

guard True  = pure ()
guard False = empty

Examples

Expand

Common uses of guard include conditionally signaling an error in an error monad and conditionally rejecting the current choice in an Alternative-based parser.

As an example of signaling an error in the error monad Maybe, consider a safe division function safeDiv x y that returns Nothing when the denominator y is zero and Just (x `div` y) otherwise. For example:

>>> safeDiv 4 0
Nothing
>>> safeDiv 4 2
Just 2

A definition of safeDiv using guards, but not guard:

safeDiv :: Int -> Int -> Maybe Int
safeDiv x y | y /= 0    = Just (x `div` y)
            | otherwise = Nothing

A definition of safeDiv using guard and Monad do-notation:

safeDiv :: Int -> Int -> Maybe Int
safeDiv x y = do
  guard (y /= 0)
  return (x `div` y)

(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 #

Same as >>=, but with the arguments interchanged.

when :: Applicative f => Bool -> f () -> f () #

Conditional execution of Applicative expressions. For example,

when debug (putStrLn "Debugging")

will output the string Debugging if the Boolean value debug is True, and otherwise do nothing.

liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r #

Promote a function to a monad, scanning the monadic arguments from left to right. For example,

liftM2 (+) [0,1] [0,2] = [0,2,1,3]
liftM2 (+) (Just 1) Nothing = Nothing

liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r #

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r #

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r #

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

ap :: Monad m => m (a -> b) -> m a -> m b #

In many situations, the liftM operations can be replaced by uses of ap, which promotes function application.

return f `ap` x1 `ap` ... `ap` xn

is equivalent to

liftMn f x1 x2 ... xn

isJust :: Maybe a -> Bool #

The isJust function returns True iff its argument is of the form Just _.

Examples

Expand

Basic usage:

>>> isJust (Just 3)
True
>>> isJust (Just ())
True
>>> isJust Nothing
False

Only the outer constructor is taken into consideration:

>>> isJust (Just Nothing)
True

isNothing :: Maybe a -> Bool #

The isNothing function returns True iff its argument is Nothing.

Examples

Expand

Basic usage:

>>> isNothing (Just 3)
False
>>> isNothing (Just ())
False
>>> isNothing Nothing
True

Only the outer constructor is taken into consideration:

>>> isNothing (Just Nothing)
False

fromMaybe :: a -> Maybe a -> a #

The fromMaybe function takes a default value and a Maybe value. If the Maybe is Nothing, it returns the default value; otherwise, it returns the value contained in the Maybe.

Examples

Expand

Basic usage:

>>> fromMaybe "" (Just "Hello, World!")
"Hello, World!"
>>> fromMaybe "" Nothing
""

Read an integer from a string using readMaybe. If we fail to parse an integer, we want to return 0 by default:

>>> import Text.Read ( readMaybe )
>>> fromMaybe 0 (readMaybe "5")
5
>>> fromMaybe 0 (readMaybe "")
0

runST :: (forall s. ST s a) -> a #

Return the value computed by a state thread. The forall ensures that the internal state used by the ST computation is inaccessible to the rest of the program.

void :: Functor f => f a -> f () #

void value discards or ignores the result of evaluation, such as the return value of an IO action.

Examples

Expand

Replace the contents of a Maybe Int with unit:

>>> void Nothing
Nothing
>>> void (Just 3)
Just ()

Replace the contents of an Either Int Int with unit, resulting in an Either Int ():

>>> void (Left 8675309)
Left 8675309
>>> void (Right 8675309)
Right ()

Replace every element of a list with unit:

>>> void [1,2,3]
[(),(),()]

Replace the second element of a pair with unit:

>>> void (1,2)
(1,())

Discard the result of an IO action:

>>> mapM print [1,2]
1
2
[(),()]
>>> void $ mapM print [1,2]
1
2

sequence_ :: (Foldable t, Monad m) => t (m a) -> m () #

Evaluate each monadic action in the structure from left to right, and ignore the results. For a version that doesn't ignore the results see sequence.

sequence_ is just like sequenceA_, but specialised to monadic actions.

msum :: (Foldable t, MonadPlus m) => t (m a) -> m a #

The sum of a collection of actions using (<|>), generalizing concat.

msum is just like asum, but specialised to MonadPlus.

Examples

Expand

Basic usage, using the MonadPlus instance for Maybe:

>>> msum [Just "Hello", Nothing, Just "World"]
Just "Hello"

rnfTyCon :: TyCon -> () #

typeRepFingerprint :: TypeRep -> Fingerprint #

Takes a value of type a and returns a concrete representation of that type.

Since: base-4.7.0.0

typeRepTyCon :: TypeRep -> TyCon #

Observe the type constructor of a quantified type representation.

typeRep :: forall {k} proxy (a :: k). Typeable a => proxy a -> TypeRep #

Takes a value of type a and returns a concrete representation of that type.

Since: base-4.7.0.0

typeOf :: Typeable a => a -> TypeRep #

Observe a type representation for the type of a value.

rnfTypeRep :: TypeRep -> () #

Force a TypeRep to normal form.

showsTypeRep :: TypeRep -> ShowS #

Show a type representation

cast :: (Typeable a, Typeable b) => a -> Maybe b #

The type-safe cast operation

eqT :: forall {k} (a :: k) (b :: k). (Typeable a, Typeable b) => Maybe (a :~: b) #

Extract a witness of equality of two types

Since: base-4.7.0.0

heqT :: forall {k1} {k2} (a :: k1) (b :: k2). (Typeable a, Typeable b) => Maybe (a :~~: b) #

Extract a witness of heterogeneous equality of two types

Since: base-4.18.0.0

gcast :: forall {k} (a :: k) (b :: k) c. (Typeable a, Typeable b) => c a -> Maybe (c b) #

A flexible variation parameterised in a type constructor

gcast1 :: forall {k1} {k2} c (t :: k2 -> k1) (t' :: k2 -> k1) (a :: k2). (Typeable t, Typeable t') => c (t a) -> Maybe (c (t' a)) #

Cast over k1 -> k2

gcast2 :: forall {k1} {k2} {k3} c (t :: k2 -> k3 -> k1) (t' :: k2 -> k3 -> k1) (a :: k2) (b :: k3). (Typeable t, Typeable t') => c (t a b) -> Maybe (c (t' a b)) #

Cast over k1 -> k2 -> k3

funResultTy :: TypeRep -> TypeRep -> Maybe TypeRep #

Applies a type to a function type. Returns: Just u if the first argument represents a function of type t -> u and the second argument represents a function of type t. Otherwise, returns Nothing.

mkFunTy :: TypeRep -> TypeRep -> TypeRep #

Build a function type.

splitTyConApp :: TypeRep -> (TyCon, [TypeRep]) #

Splits a type constructor application. Note that if the type constructor is polymorphic, this will not return the kinds that were used.

typeRepArgs :: TypeRep -> [TypeRep] #

Observe the argument types of a type representation

typeOf1 :: Typeable t => t a -> TypeRep #

typeOf2 :: Typeable t => t a b -> TypeRep #

typeOf3 :: Typeable t => t a b c -> TypeRep #

typeOf4 :: Typeable t => t a b c d -> TypeRep #

typeOf5 :: Typeable t => t a b c d e -> TypeRep #

typeOf6 :: Typeable t => t a b c d e f -> TypeRep #

typeOf7 :: Typeable t => t a b c d e f g -> TypeRep #

fixST :: (a -> ST s a) -> ST s a #

Allow the result of an ST computation to be used (lazily) inside the computation.

Note that if f is strict, fixST f = _|_.

filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a] #

This generalizes the list-based filter function.

(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 #

Left-to-right composition of Kleisli arrows.

'(bs >=> cs) a' can be understood as the do expression

do b <- bs a
   cs b

(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c infixr 1 #

Right-to-left composition of Kleisli arrows. (>=>), with the arguments flipped.

Note how this operator resembles function composition (.):

(.)   ::            (b ->   c) -> (a ->   b) -> a ->   c
(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c

mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c]) #

The mapAndUnzipM function maps its first argument over a list, returning the result as a pair of lists. This function is mainly used with complicated data structures or a state monad.

zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c] #

The zipWithM function generalizes zipWith to arbitrary applicative functors.

zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m () #

zipWithM_ is the extension of zipWithM which ignores the final result.

foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #

The foldM function is analogous to foldl, except that its result is encapsulated in a monad. Note that foldM works from left-to-right over the list arguments. This could be an issue where (>>) and the `folded function' are not commutative.

foldM f a1 [x1, x2, ..., xm]

==

do
  a2 <- f a1 x1
  a3 <- f a2 x2
  ...
  f am xm

If right-to-left evaluation is required, the input list should be reversed.

Note: foldM is the same as foldlM

foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m () #

Like foldM, but discards the result.

replicateM :: Applicative m => Int -> m a -> m [a] #

replicateM n act performs the action act n times, and then returns the list of results:

Examples

Expand
>>> import Control.Monad.State
>>> runState (replicateM 3 $ state $ \s -> (s, s + 1)) 1
([1,2,3],4)

replicateM_ :: Applicative m => Int -> m a -> m () #

Like replicateM, but discards the result.

Examples

Expand
>>> replicateM_ 3 (putStrLn "a")
a
a
a

unless :: Applicative f => Bool -> f () -> f () #

The reverse of when.

(<$!>) :: Monad m => (a -> b) -> m a -> m b infixl 4 #

Strict version of <$>.

Since: base-4.8.0.0

mfilter :: MonadPlus m => (a -> Bool) -> m a -> m a #

Direct MonadPlus equivalent of filter.

Examples

Expand

The filter function is just mfilter specialized to the list monad:

filter = ( mfilter :: (a -> Bool) -> [a] -> [a] )

An example using mfilter with the Maybe monad:

>>> mfilter odd (Just 1)
Just 1
>>> mfilter odd (Just 2)
Nothing

runIO :: IO r -> SpecM a r #

Run an IO action while constructing the spec tree.

SpecM is a monad to construct a spec tree, without executing any spec items. runIO allows you to run IO actions during this construction phase. The IO action is always run when the spec tree is constructed (e.g. even when --dry-run is specified). If you do not need the result of the IO action to construct the spec tree, beforeAll may be more suitable for your use case.

modifyMaxSuccess :: (Int -> Int) -> SpecWith a -> SpecWith a #

Use a modified maxSuccess for given spec.

modifyMaxDiscardRatio :: (Int -> Int) -> SpecWith a -> SpecWith a #

Use a modified maxDiscardRatio for given spec.

modifyMaxSize :: (Int -> Int) -> SpecWith a -> SpecWith a #

Use a modified maxSize for given spec.

modifyMaxShrinks :: (Int -> Int) -> SpecWith a -> SpecWith a #

Use a modified maxShrinks for given spec.

modifyArgs :: (Args -> Args) -> SpecWith a -> SpecWith a #

Use modified Args for given spec.

before :: IO a -> SpecWith a -> Spec #

Run a custom action before every spec item.

before_ :: IO () -> SpecWith a -> SpecWith a #

Run a custom action before every spec item.

beforeWith :: (b -> IO a) -> SpecWith a -> SpecWith b #

Run a custom action before every spec item.

beforeAll :: HasCallStack => IO a -> SpecWith a -> Spec #

Run a custom action before the first spec item.

beforeAll_ :: HasCallStack => IO () -> SpecWith a -> SpecWith a #

Run a custom action before the first spec item.

beforeAllWith :: HasCallStack => (b -> IO a) -> SpecWith a -> SpecWith b #

Run a custom action with an argument before the first spec item.

after :: ActionWith a -> SpecWith a -> SpecWith a #

Run a custom action after every spec item.

after_ :: IO () -> SpecWith a -> SpecWith a #

Run a custom action after every spec item.

around :: (ActionWith a -> IO ()) -> SpecWith a -> Spec #

Run a custom action before and/or after every spec item.

afterAll :: HasCallStack => ActionWith a -> SpecWith a -> SpecWith a #

Run a custom action after the last spec item.

afterAll_ :: HasCallStack => IO () -> SpecWith a -> SpecWith a #

Run a custom action after the last spec item.

around_ :: (IO () -> IO ()) -> SpecWith a -> SpecWith a #

Run a custom action before and/or after every spec item.

aroundWith :: (ActionWith a -> ActionWith b) -> SpecWith a -> SpecWith b #

Run a custom action before and/or after every spec item.

aroundAll :: HasCallStack => (ActionWith a -> IO ()) -> SpecWith a -> Spec #

Wrap an action around the given spec.

aroundAll_ :: HasCallStack => (IO () -> IO ()) -> SpecWith a -> SpecWith a #

Wrap an action around the given spec.

aroundAllWith :: HasCallStack => (ActionWith a -> ActionWith b) -> SpecWith a -> SpecWith b #

Wrap an action around the given spec. Changes the arg type inside.

mapSubject :: (b -> a) -> SpecWith a -> SpecWith b #

Modify the subject under test.

Note that this resembles a contravariant functor on the first type parameter of SpecM. This is because the subject is passed inwards, as an argument to the spec item.

ignoreSubject :: SpecWith () -> SpecWith a #

Ignore the subject under test for a given spec.

describe :: HasCallStack => String -> SpecWith a -> SpecWith a #

The describe function combines a list of specs into a larger spec.

context :: HasCallStack => String -> SpecWith a -> SpecWith a #

context is an alias for describe.

xdescribe :: HasCallStack => String -> SpecWith a -> SpecWith a #

Changing describe to xdescribe marks all spec items of the corresponding subtree as pending.

This can be used to temporarily disable spec items.

xcontext :: HasCallStack => String -> SpecWith a -> SpecWith a #

xcontext is an alias for xdescribe.

it :: (HasCallStack, Example a) => String -> a -> SpecWith (Arg a) #

The it function creates a spec item.

A spec item consists of:

  • a textual description of a desired behavior
  • an example for that behavior
describe "absolute" $ do
  it "returns a positive number when given a negative number" $
    absolute (-1) == 1

specify :: (HasCallStack, Example a) => String -> a -> SpecWith (Arg a) #

specify is an alias for it.

xit :: (HasCallStack, Example a) => String -> a -> SpecWith (Arg a) #

Changing it to xit marks the corresponding spec item as pending.

This can be used to temporarily disable a spec item.

xspecify :: (HasCallStack, Example a) => String -> a -> SpecWith (Arg a) #

xspecify is an alias for xit.

focus :: SpecWith a -> SpecWith a #

focus focuses all spec items of the given spec.

Applying focus to a spec with focused spec items has no effect.

fit :: (HasCallStack, Example a) => String -> a -> SpecWith (Arg a) #

fit is an alias for fmap focus . it

fspecify :: (HasCallStack, Example a) => String -> a -> SpecWith (Arg a) #

fspecify is an alias for fit.

fdescribe :: HasCallStack => String -> SpecWith a -> SpecWith a #

fdescribe is an alias for fmap focus . describe

fcontext :: HasCallStack => String -> SpecWith a -> SpecWith a #

fcontext is an alias for fdescribe.

parallel :: SpecWith a -> SpecWith a #

parallel marks all spec items of the given spec to be safe for parallel evaluation.

sequential :: SpecWith a -> SpecWith a #

sequential marks all spec items of the given spec to be evaluated sequentially.

pending :: HasCallStack => Expectation #

pending can be used to mark a spec item as pending.

If you want to textually specify a behavior but do not have an example yet, use this:

describe "fancyFormatter" $ do
  it "can format text in a way that everyone likes" $
    pending

pendingWith :: HasCallStack => String -> Expectation #

pendingWith is similar to pending, but it takes an additional string argument that can be used to specify the reason for why the spec item is pending.

example :: Expectation -> Expectation #

example is a type restricted version of id. It can be used to get better error messages on type mismatches.

Compare e.g.

it "exposes some behavior" $ example $ do
  putStrLn

with

it "exposes some behavior" $ do
  putStrLn

prop :: (HasCallStack, Testable prop) => String -> prop -> Spec #

prop ".." $
  ..

is a shortcut for

it ".." $ property $
  ..

xprop :: (HasCallStack, Testable prop) => String -> prop -> Spec #

xprop ".." $
  ..

is a shortcut for

xit ".." $ property $
  ..

fprop :: (HasCallStack, Testable prop) => String -> prop -> Spec #

fprop ".." $
  ..

is a shortcut for

fit ".." $ property $
  ..

shouldBe :: (HasCallStack, Show a, Eq a) => a -> a -> Expectation infix 1 #

actual `shouldBe` expected sets the expectation that actual is equal to expected.

shouldSatisfy :: (HasCallStack, Show a) => a -> (a -> Bool) -> Expectation infix 1 #

v `shouldSatisfy` p sets the expectation that p v is True.

shouldStartWith :: (HasCallStack, Show a, Eq a) => [a] -> [a] -> Expectation infix 1 #

list `shouldStartWith` prefix sets the expectation that list starts with prefix,

shouldEndWith :: (HasCallStack, Show a, Eq a) => [a] -> [a] -> Expectation infix 1 #

list `shouldEndWith` suffix sets the expectation that list ends with suffix,

shouldContain :: (HasCallStack, Show a, Eq a) => [a] -> [a] -> Expectation infix 1 #

list `shouldContain` sublist sets the expectation that sublist is contained, wholly and intact, anywhere in list.

shouldMatchList :: (HasCallStack, Show a, Eq a) => [a] -> [a] -> Expectation infix 1 #

xs `shouldMatchList` ys sets the expectation that xs has the same elements that ys has, possibly in another order

shouldReturn :: (HasCallStack, Show a, Eq a) => IO a -> a -> Expectation infix 1 #

action `shouldReturn` expected sets the expectation that action returns expected.

shouldNotBe :: (HasCallStack, Show a, Eq a) => a -> a -> Expectation infix 1 #

actual `shouldNotBe` notExpected sets the expectation that actual is not equal to notExpected

shouldNotSatisfy :: (HasCallStack, Show a) => a -> (a -> Bool) -> Expectation infix 1 #

v `shouldNotSatisfy` p sets the expectation that p v is False.

shouldNotContain :: (HasCallStack, Show a, Eq a) => [a] -> [a] -> Expectation infix 1 #

list `shouldNotContain` sublist sets the expectation that sublist is not contained anywhere in list.

shouldNotReturn :: (HasCallStack, Show a, Eq a) => IO a -> a -> Expectation infix 1 #

action `shouldNotReturn` notExpected sets the expectation that action does not return notExpected.

shouldThrow :: (HasCallStack, Exception e) => IO a -> Selector e -> Expectation infix 1 #

action `shouldThrow` selector sets the expectation that action throws an exception. The precise nature of the expected exception is described with a Selector.

integralLaws :: (Integral a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Quotient Remainder
(quot x y) * y + (rem x y) ≡ x
Division Modulus
(div x y) * y + (mod x y) ≡ x
Integer Roundtrip
fromInteger (toInteger x) ≡ x
QuotRem is (Quot, Rem)
quotRem x y ≡ (quot x y, rem x y)
DivMod is (Div, Mod)
divMod x y ≡ (div x y, mod x y)

genericLaws :: (Generic a, Eq a, Arbitrary a, Show a, Show (Rep a ()), Arbitrary (Rep a ()), Eq (Rep a ())) => Proxy a -> Laws #

Tests the following properties:

From-To Inverse
from . toid
To-From Inverse
to . fromid

Note: This property test is only available when using base-4.5 or newer.

Note: from and to don't actually care about the type variable x in Rep a x, so here we instantiate it to () by default. If you would like to instantiate x as something else, please file a bug report.

generic1Laws :: forall (f :: Type -> Type) proxy. (Generic1 f, Eq1 f, Arbitrary1 f, Show1 f, Eq1 (Rep1 f), Show1 (Rep1 f), Arbitrary1 (Rep1 f)) => proxy f -> Laws #

Tests the following properties:

From-To Inverse
from1 . to1id
To-From Inverse
to1 . from1id

Note: This property test is only available when using base-4.9 or newer.

functorLaws :: forall (f :: Type -> Type) proxy. (Functor f, forall a. Eq a => Eq (f a), forall a. Show a => Show (f a), forall a. Arbitrary a => Arbitrary (f a)) => proxy f -> Laws #

Tests the following functor properties:

Identity
fmap idid
Composition
fmap (f . g) ≡ fmap f . fmap g
Const
(<$) ≡ fmap const

foldableLaws :: forall proxy (f :: Type -> Type). (Foldable f, forall a. Eq a => Eq (f a), forall a. Show a => Show (f a), forall a. Arbitrary a => Arbitrary (f a)) => proxy f -> Laws #

Tests the following Foldable properties:

fold
foldfoldMap id
foldMap
foldMap f ≡ foldr (mappend . f) mempty
foldr
foldr f z t ≡ appEndo (foldMap (Endo . f) t ) z
foldr'
foldr' f z0 xs ≡ let f' k x z = k $! f x z in foldl f' id xs z0
foldr1
foldr1 f t ≡ let Just (xs,x) = unsnoc (toList t) in foldr f x xs
foldl
foldl f z t ≡ appEndo (getDual (foldMap (Dual . Endo . flip f) t)) z
foldl'
foldl' f z0 xs ≡ let f' x k z = k $! f z x in foldr f' id xs z0
foldl1
foldl1 f t ≡ let x : xs = toList t in foldl f x xs
toList
toListfoldr (:) []
null
nullfoldr (const (const False)) True
length
lengthgetSum . foldMap (const (Sum 1))

Note that this checks to ensure that foldl' and foldr' are suitably strict.

eqLaws :: (Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Transitive
a == b ∧ b == c ⇒ a == c
Symmetric
a == b ⇒ b == a
Reflexive
a == a
Negation
x /= y == not (x == y)

Some of these properties involve implication. In the case that the left hand side of the implication arrow does not hold, we do not retry. Consequently, these properties only end up being useful when the data type has a small number of inhabitants.

substitutiveEqLaws :: (Eq a, Arbitrary a, CoArbitrary a, Function a, Show a) => Proxy a -> Laws #

Tests the following properties:

Substitutive
x == y ⇒ f x == f y

Note: This does not test eqLaws. If you want to use this, You should use it in addition to eqLaws.

enumLaws :: (Enum a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Succ Pred Identity
succ (pred x) ≡ x
Pred Succ Identity
pred (succ x) ≡ x

This only works for Enum types that are not bounded, meaning that succ and pred must be total. This means that these property tests work correctly for types like Integer but not for Int.

Sadly, there is not a good way to test fromEnum and toEnum, since many types that have reasonable implementations for succ and pred have more inhabitants than Int does.

boundedEnumLaws :: (Enum a, Bounded a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the same properties as enumLaws except that it requires the type to have a Bounded instance. These tests avoid taking the successor of the maximum element or the predecessor of the minimal element.

contravariantLaws :: forall (f :: Type -> Type) proxy. (Contravariant f, forall a. Eq a => Eq (f a), forall a. Show a => Show (f a), forall a. Arbitrary a => Arbitrary (f a)) => proxy f -> Laws #

Tests the following contravariant properties:

Identity
contramap idid
Composition
contramap f . contramap g ≡ contramap (g . f)

categoryLaws :: forall proxy (c :: Type -> Type -> Type). (Category c, forall a b. (Eq a, Eq b) => Eq (c a b), forall a b. (Show a, Show b) => Show (c a b), forall a b. (Arbitrary a, Arbitrary b) => Arbitrary (c a b)) => proxy c -> Laws #

Tests the following Category properties:

Right Identity
f . id ≡ f
Left Identity
id . f ≡ f
Associativity
f . (g . h) ≡ (f . g) . h

Note: This property test is only available when this package is built with base-4.9+ or transformers-0.5+.

commutativeCategoryLaws :: forall proxy (c :: Type -> Type -> Type). (Category c, forall a b. (Eq a, Eq b) => Eq (c a b), forall a b. (Show a, Show b) => Show (c a b), forall a b. (Arbitrary a, Arbitrary b) => Arbitrary (c a b)) => proxy c -> Laws #

Test everything from categoryLaws plus the following:

Commutative
f . g ≡ g . f

Note: This property test is only available when this package is built with base-4.9+ or transformers-0.5+.

bitsLaws :: (FiniteBits a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Conjunction Idempotence
n .&. n ≡ n
Disjunction Idempotence
n .|. n ≡ n
Double Complement
complement (complement n) ≡ n
Set Bit
setBit n i ≡ n .|. bit i
Clear Bit
clearBit n i ≡ n .&. complement (bit i)
Complement Bit
complementBit n i ≡ xor n (bit i)
Clear Zero
clearBit zeroBits i ≡ zeroBits
Set Zero
setBit zeroBits i ≡ bit i
Test Zero
testBit zeroBits i ≡ False
Pop Zero
popCount zeroBits ≡ 0
Right Rotation
no sign extension → (rotateR n i ≡ (shiftR n i) .|. (shiftL n (finiteBitSize ⊥ - i)))
Left Rotation
no sign extension → (rotateL n i ≡ (shiftL n i) .|. (shiftR n (finiteBitSize ⊥ - i)))
Count Leading Zeros of Zero
countLeadingZeros zeroBits ≡ finiteBitSize ⊥
Count Trailing Zeros of Zero
countTrailingZeros zeroBits ≡ finiteBitSize ⊥

All of the useful instances of the Bits typeclass also have FiniteBits instances, so these property tests actually require that instance as well.

Note: This property test is only available when using base-4.7 or newer.

bitraversableLaws :: forall proxy (f :: Type -> Type -> Type). (Bitraversable f, forall a b. (Eq a, Eq b) => Eq (f a b), forall a b. (Show a, Show b) => Show (f a b), forall a b. (Arbitrary a, Arbitrary b) => Arbitrary (f a b)) => proxy f -> Laws #

Tests the following Bitraversable properties:

Naturality
bitraverse (t . f) (t . g) ≡ t . bitraverse f g for every applicative transformation t
Identity
bitraverse Identity IdentityIdentity
Composition
Compose . fmap (bitraverse g1 g2) . bitraverse f1 f2 ≡ bitraverse (Compose . fmap g1 g2 . f1) (Compose . fmap g2 . f2)

Note: This property test is only available when this package is built with base-4.9+ or transformers-0.5+.

bifunctorLaws :: forall proxy (f :: Type -> Type -> Type). (Bifunctor f, forall a b. (Eq a, Eq b) => Eq (f a b), forall a b. (Show a, Show b) => Show (f a b), forall a b. (Arbitrary a, Arbitrary b) => Arbitrary (f a b)) => proxy f -> Laws #

Tests the following Bifunctor properties:

Identity
bimap id idid
First Identity
first idid
Second Identity
second idid
Bifunctor Composition
bimap f g ≡ first f . second g

Note: This property test is only available when this package is built with base-4.9+ or transformers-0.5+.

bifoldableLaws :: forall proxy (f :: Type -> Type -> Type). (Bifoldable f, forall a b. (Eq a, Eq b) => Eq (f a b), forall a b. (Show a, Show b) => Show (f a b), forall a b. (Arbitrary a, Arbitrary b) => Arbitrary (f a b)) => proxy f -> Laws #

Tests the following Bifunctor properties:

Bifold Identity
bifoldbifoldMap id id
BifoldMap Identity
bifoldMap f g ≡ bifoldr (mappend . f) (mappend . g) mempty
Bifoldr Identity
bifoldr f g z t ≡ appEndo (bifoldMap (Endo . f) (Endo . g) t) z

Note: This property test is only available when this package is built with base-4.10+ or transformers-0.5+.

isListLaws :: (IsList a, Show a, Show (Item a), Arbitrary a, Arbitrary (Item a), Eq a) => Proxy a -> Laws #

Tests the following properties:

Partial Isomorphism
fromList . toList ≡ id
Length Preservation
fromList xs ≡ fromListN (length xs) xs

Note: This property test is only available when using base-4.7 or newer.

applicativeLaws :: forall (f :: Type -> Type) proxy. (Applicative f, forall a. Eq a => Eq (f a), forall a. Show a => Show (f a), forall a. Arbitrary a => Arbitrary (f a)) => proxy f -> Laws #

Tests the following applicative properties:

Identity
pure id <*> v ≡ v
Composition
pure (.) <*> u <*> v <*> w ≡ u <*> (v <*> w)
Homomorphism
pure f <*> pure x ≡ pure (f x)
Interchange
u <*> pure y ≡ pure ($ y) <*> u
LiftA2 (1)
(<*>) ≡ liftA2 id

alternativeLaws :: forall (f :: Type -> Type) proxy. (Alternative f, forall a. Eq a => Eq (f a), forall a. Show a => Show (f a), forall a. Arbitrary a => Arbitrary (f a)) => proxy f -> Laws #

Tests the following alternative properties:

Left Identity
empty <|> x ≡ x
Right Identity
x <|> empty ≡ x
Associativity
a <|> (b <|> c) ≡ (a <|> b) <|> c)

ixLaws :: (Ix a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the various Ix properties:

inRange (l,u) i == elem i (range (l,u))

range (l,u) !! index (l,u) i == i, when inRange (l,u) i

map (index (l,u)) (range (l,u)) == [0 .. rangeSize (l,u) - 1]
rangeSize (l,u) == length (range (l,u))

monadLaws :: forall (f :: Type -> Type) proxy. (Monad f, Applicative f, forall a. Eq a => Eq (f a), forall a. Show a => Show (f a), forall a. Arbitrary a => Arbitrary (f a)) => proxy f -> Laws #

Tests the following monadic properties:

Left Identity
return a >>= k ≡ k a
Right Identity
m >>= return ≡ m
Associativity
m >>= (\x -> k x >>= h) ≡ (m >>= k) >>= h
Return
purereturn
Ap
(<*>) ≡ ap

monadPlusLaws :: forall (f :: Type -> Type) proxy. (MonadPlus f, forall a. Eq a => Eq (f a), forall a. Show a => Show (f a), forall a. Arbitrary a => Arbitrary (f a)) => proxy f -> Laws #

Tests the following monad plus properties:

Left Identity
mplus mzero x ≡ x
Right Identity
mplus x mzero ≡ x
Associativity
mplus a (mplus b c) ≡ mplus (mplus a b) c)
Left Zero
mzero >>= f ≡ mzero
Right Zero
m >> mzeromzero

monadZipLaws :: forall (f :: Type -> Type) proxy. (MonadZip f, forall a. Eq a => Eq (f a), forall a. Show a => Show (f a), forall a. Arbitrary a => Arbitrary (f a)) => proxy f -> Laws #

Tests the following monadic zipping properties:

Naturality
liftM (f *** g) (mzip ma mb) = mzip (liftM f ma) (liftM g mb)

In the laws above, the infix function *** refers to a typeclass method of Arrow.

monoidLaws :: (Monoid a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Associative
mappend a (mappend b c) ≡ mappend (mappend a b) c
Left Identity
mappend mempty a ≡ a
Right Identity
mappend a mempty ≡ a
Concatenation
mconcat as ≡ foldr mappend mempty as

commutativeMonoidLaws :: (Monoid a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Commutative
mappend a b ≡ mappend b a

Note that this does not test associativity or identity. Make sure to use monoidLaws in addition to this set of laws.

numLaws :: (Num a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Additive Commutativity
a + b ≡ b + a
Additive Left Identity
0 + a ≡ a
Additive Right Identity
a + 0 ≡ a
Multiplicative Associativity
a * (b * c) ≡ (a * b) * c
Multiplicative Left Identity
1 * a ≡ a
Multiplicative Right Identity
a * 1 ≡ a
Multiplication Left Distributes Over Addition
a * (b + c) ≡ (a * b) + (a * c)
Multiplication Right Distributes Over Addition
(a + b) * c ≡ (a * c) + (b * c)
Multiplicative Left Annihilation
0 * a ≡ 0
Multiplicative Right Annihilation
a * 0 ≡ 0
Additive Inverse
negate a + a ≡ 0
Subtraction
a + negate b ≡ a - b
Abs Is Idempotent
@abs (abs a) ≡ abs a
Signum Is Idempotent
@signum (signum a) ≡ signum a
Product Of Abs And Signum Is Id
abs a * signum a ≡ a

ordLaws :: (Ord a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Antisymmetry
a ≤ b ∧ b ≤ a ⇒ a = b
Transitivity
a ≤ b ∧ b ≤ c ⇒ a ≤ c
Totality
a ≤ b ∨ a > b

semigroupLaws :: (Semigroup a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Associative
a <> (b <> c) ≡ (a <> b) <> c
Concatenation
sconcat as ≡ foldr1 (<>) as
Times
stimes n a ≡ foldr1 (<>) (replicate n a)

commutativeSemigroupLaws :: (Semigroup a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Commutative
a <> b ≡ b <> a

Note that this does not test associativity. Make sure to use semigroupLaws in addition to this set of laws.

idempotentSemigroupLaws :: (Semigroup a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Idempotent
a <> a ≡ a

Note that this does not test associativity. Make sure to use semigroupLaws in addition to this set of laws. In literature, this class of semigroup is known as a band.

rectangularBandSemigroupLaws :: (Semigroup a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Rectangular Band
a <> b <> a ≡ a

Note that this does not test associativity. Make sure to use semigroupLaws in addition to this set of laws.

exponentialSemigroupLaws :: (Semigroup a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following properties:

Exponential
stimes n (a <> b) ≡ stimes n a <> stimes n b

Note that this does not test associativity. Make sure to use semigroupLaws in addition to this set of laws.

showLaws :: (Show a, Arbitrary a) => Proxy a -> Laws #

Tests the following properties:

Show
show a ≡ showsPrec 0 a ""
Equivariance: showsPrec
showsPrec p a r ++ s ≡ showsPrec p a (r ++ s)
Equivariance: showList
showList as r ++ s ≡ showList as (r ++ s)

showReadLaws :: (Show a, Read a, Eq a, Arbitrary a) => Proxy a -> Laws #

Tests the following properties:

Partial Isomorphism: show / read
readMaybe (show a) ≡ Just a
Partial Isomorphism: show / read with initial space
readMaybe (" " ++ show a) ≡ Just a
Partial Isomorphism: showsPrec / readsPrec
(a,"") `elem` readsPrec p (showsPrec p a "")
Partial Isomorphism: showList / readList
(as,"") `elem` readList (showList as "")
Partial Isomorphism: showListWith shows / readListDefault
(as,"") `elem` readListDefault (showListWith shows as "")

Note: When using base-4.5 or older, a shim implementation of readMaybe is used.

storableLaws :: (Storable a, Eq a, Arbitrary a, Show a) => Proxy a -> Laws #

Tests the following Storable properties:

Set-Get
(pokeElemOff ptr ix a >> peekElemOff ptr ix') ≡ pure a
Get-Set
(peekElemOff ptr ix >> pokeElemOff ptr ix a) ≡ pure a

traversableLaws :: forall (f :: Type -> Type) proxy. (Traversable f, forall a. Eq a => Eq (f a), forall a. Show a => Show (f a), forall a. Arbitrary a => Arbitrary (f a)) => proxy f -> Laws #

Tests the following Traversable properties:

Naturality
t . traverse f ≡ traverse (t . f) for every applicative transformation t
Identity
traverse IdentityIdentity
Composition
traverse (Compose . fmap g . f) ≡ Compose . fmap (traverse g) . traverse f
Sequence Naturality
t . sequenceAsequenceA . fmap t for every applicative transformation t
Sequence Identity
sequenceA . fmap IdentityIdentity
Sequence Composition
sequenceA . fmap ComposeCompose . fmap sequenceA . sequenceA
foldMap
foldMapfoldMapDefault
fmap
fmapfmapDefault

Where an applicative transformation is a function

t :: (Applicative f, Applicative g) => f a -> g a

preserving the Applicative operations, i.e.

  • Identity: t (pure x) ≡ pure x
  • Distributivity: t (x <*> y) ≡ t x <*> t y

lawsCheck :: Laws -> IO () #

A convenience function for testing properties in GHCi. For example, at GHCi:

>>> lawsCheck (monoidLaws (Proxy :: Proxy Ordering))
Monoid: Associative +++ OK, passed 100 tests.
Monoid: Left Identity +++ OK, passed 100 tests.
Monoid: Right Identity +++ OK, passed 100 tests.

Assuming that the Arbitrary instance for Ordering is good, we now have confidence that the Monoid instance for Ordering satisfies the monoid laws.

lawsCheckOne :: Proxy a -> [Proxy a -> Laws] -> IO () #

A convenience function that allows one to check many typeclass instances of the same type.

>>> specialisedLawsCheckMany (Proxy :: Proxy Word) [jsonLaws, showReadLaws]
ToJSON/FromJSON: Encoding Equals Value +++ OK, passed 100 tests.
ToJSON/FromJSON: Partial Isomorphism +++ OK, passed 100 tests.
Show/Read: Partial Isomorphism +++ OK, passed 100 tests.

lawsCheckMany #

Arguments

:: [(String, [Laws])]

Element is type name paired with typeclass laws

-> IO () 

A convenience function for checking multiple typeclass instances of multiple types. Consider the following Haskell source file:

import Data.Proxy (Proxy(..))
import Data.Map (Map)
import Data.Set (Set)

-- A Proxy for Set Int.
setInt :: Proxy (Set Int)
setInt = Proxy

-- A Proxy for Map Int Int.
mapInt :: Proxy (Map Int Int)
mapInt = Proxy

myLaws :: Proxy a -> [Laws]
myLaws p = [eqLaws p, monoidLaws p]

namedTests :: [(String, [Laws])]
namedTests =
  [ ("Set Int", myLaws setInt)
  , ("Map Int Int", myLaws mapInt)
  ]

Now, in GHCi:

>>> lawsCheckMany namedTests
Testing properties for common typeclasses
-------------
-- Set Int --
-------------

Eq: Transitive +++ OK, passed 100 tests.
Eq: Symmetric +++ OK, passed 100 tests.
Eq: Reflexive +++ OK, passed 100 tests.
Monoid: Associative +++ OK, passed 100 tests.
Monoid: Left Identity +++ OK, passed 100 tests.
Monoid: Right Identity +++ OK, passed 100 tests.
Monoid: Concatenation +++ OK, passed 100 tests.

-----------------
-- Map Int Int --
-----------------

Eq: Transitive +++ OK, passed 100 tests.
Eq: Symmetric +++ OK, passed 100 tests.
Eq: Reflexive +++ OK, passed 100 tests.
Monoid: Associative +++ OK, passed 100 tests.
Monoid: Left Identity +++ OK, passed 100 tests.
Monoid: Right Identity +++ OK, passed 100 tests.
Monoid: Concatenation +++ OK, passed 100 tests.

In the case of a failing test, the program terminates with exit code 1.