| Safe Haskell | None |
|---|---|
| Language | Haskell2010 |
Prelude.Spiros.Classes
Description
This module re-exports several "standard" typeclasses (that every type should derive, if it can), and their methods. It only re-exports other (non-typeclass, non-method) definitions when they are convenient for manually defining instances.
Also include some shims for backwards-compability (motivated by the 2018 reflex-platform).
Notes
Derive Lift:
- either automatically via
-XDeriveLift; - or manually, which requires importing the method too,
import Language.Haskell.TH.Syntax (Lift(..))(this doesn't re-export it becauseliftis too broad a name).
Re-Exports
deepseq:
hashable:
data-default-class:
exceptions:
mtl:
transformers:
template-haskell
base "stock deriveable":
syntax:
base numbers:
base monoid:
base functor:
base containers:
base applicative:
base monad:
base arrow (which I don't use):
base category:
base bifunctors:
base generics:
base ffi:
base (miscellaneous):
base unary liftings (of standard nullary classes):
Eq1(andeq1)Ord1(andcompare1)Show1(andshowsPrec1)Read1(andreadsPrec1)
base binary liftings (of standard nullary classes):
Eq2(andeq2)Ord2(andcompare2)Show2(andshowsPrec2)Read2(andreadsPrec2)
NOTES
Foldable:
Foldable doesn't subclass Functor, and it absorbs several "secondary functions" as "primary methods", for efficiency:
-- e.g. list, the canonical foldable
instance Foldable [] where
elem = List.elem
foldl = List.foldl
foldl' = List.foldl'
foldl1 = List.foldl1
foldr = List.foldr
foldr1 = List.foldr1
length = List.length
maximum = List.maximum
minimum = List.minimum
null = List.null
product = List.product
sum = List.sum
toList = id
Lifted Classes:
- - e.g. given already-defined `<C>1` instances for some "functor" (unary type constructor) or "transformer" (binary type constructor)...
instance (Eq1 f) => Eq1 (Validated f) where ... instance (Ord1 f) => Ord1 (Validated f) where ... instance (Read1 f) => Read1 (Validated f) where ... instance (Show1 f) => Show1 (Validated f) where ...
- - .. you can derive the `<C>` instances...
instance (Eq1 f, Eq a, Eq b) => Eq (Validated f a b) where (==) = eq1
instance (Ord1 f, Ord a, Ord b) => Ord (Validated f a b) where compare = compare1
instance (Read1 f, Read a, Read b) => Read (Validated f a b) where readPrec = readPrec1 readListPrec = readListPrecDefault
instance (Show1 f, Show a, Show b) => Show (Validated f a b) where showsPrec = showsPrec1 @
-- e.g. theC1lifted instances forMaybe... instanceEq1Maybe where liftEq _ Nothing Nothing = True liftEq _ Nothing (Just _) = False liftEq _ (Just _) Nothing = False liftEq eq (Just x) (Just y) = eq x y instanceOrd1Maybe where liftCompare _ Nothing Nothing = EQ liftCompare _ Nothing (Just _) = LT liftCompare _ (Just _) Nothing = GT liftCompare comp (Just x) (Just y) = comp x y instanceRead1Maybe where liftReadPrec rp _ = parens (expectP(IdentNothing) *> pure Nothing) | readData (readUnaryWithrp Just Just) liftReadListPrec =liftReadListPrecDefaultliftReadList =liftReadListDefaultinstanceShow1Maybe where liftShowsPrec _ _ _ Nothing =showStringNothing liftShowsPrec sp _ d (Just x) =showsUnaryWithsp Just d x
-- e.g. theC2lifted instances forEither... instanceEq2Either where liftEq2 eq1 _ (Left x) (Left y) = eq1 x y liftEq2 _ _ (Left _) (Right _) = False liftEq2 _ _ (Right _) (Left _) = False liftEq2 _ eq2 (Right x) (Right y) = eq2 x y instanceOrd2Either where liftCompare2 comp1 _ (Left x) (Left y) = comp1 x y liftCompare2 _ _ (Left _) (Right _) = LT liftCompare2 _ _ (Right _) (Left _) = GT liftCompare2 _ comp2 (Right x) (Right y) = comp2 x y instanceRead2Either where liftReadPrec2 rp1 _ rp2 _ =readData$asum[ readUnaryWith rp1 Left Left , readUnaryWith rp2 Right Right ] liftReadListPrec2 =liftReadListPrec2DefaultliftReadList2 =liftReadList2DefaultinstanceShow2Either where liftShowsPrec2 sp1 _ _ _ d (Left x) = showsUnaryWith sp1 Left d x liftShowsPrec2 _ _ sp2 _ d (Right x) = showsUnaryWith sp2 Right d x
Standard Numeric Classes (copied from the The Haskell 98 Report):
class (Eqa) =>Numa where (+), (-), (*) :: a -> a -> anegate:: a -> aabs,signum:: a -> afromInteger:: Integer -> a class (Numa, Ord a) =>Reala wheretoRational:: a -> Rational class (Real a,Enuma) =>Integrala wherequot,rem,div,mod:: a -> a -> aquotRem,divMod:: a -> a -> (a,a)toInteger:: a -> Integer class (Num a) =>Fractionala where (/) :: a -> a -> arecip:: a -> afromRational:: Rational -> a class (Fractional a) =>Floatinga wherepi:: aexp,log,sqrt:: a -> a (**),logBase:: a -> a -> asin,cos,tan:: a -> aasin,acos,atan:: a -> asinh,cosh,tanh:: a -> aasinh,acosh,atanh:: a -> a class (Real a, Fractional a) =>RealFraca whereproperFraction:: (Integral b) => a -> (b,a)truncate,round:: (Integral b) => a -> bceiling,floor:: (Integral b) => a -> b class (RealFrac a, Floating a) =>RealFloata wherefloatRadix:: a -> IntegerfloatDigits:: a -> IntfloatRange:: a -> (Int,Int)decodeFloat:: a -> (Integer,Int)encodeFloat:: Integer -> Int -> aexponent:: a -> Intsignificand:: a -> ascaleFloat:: Int -> a -> aisNaN,isInfinite,isDenormalized,isNegativeZero,isIEEE:: a -> Boolatan2:: a -> a -> a --gcd,lcm:: (Integral a) => a -> a-> a (^) :: (Num a, Integral b) => a -> b -> a (^^) :: (Fractional a, Integral b) => a -> b -> a --fromIntegral:: (Integral a, Num b) => a -> brealToFrac:: (Real a, Fractional b) => a -> b
Standard Enumeration Classes:
class Ord a =>Ixa where For an enumeration, the nullary constructors are assumed to be numbered left-to-right with the indices being 0 to n-1 inclusive, likeEnum. For example: data Colour = Red | Orange | Yellow | Green | Blue | Indigo | Violetrange(Yellow,Blue) == [Yellow,Green,Blue]index(Yellow,Blue) Green == 1inRange(Yellow,Blue) Red == False
Synopsis
- seq :: a -> b -> b
- class IsList l where
- class Bounded a where
- class Enum a where
- succ :: a -> a
- pred :: a -> a
- toEnum :: Int -> a
- fromEnum :: a -> Int
- enumFrom :: a -> [a]
- enumFromThen :: a -> a -> [a]
- enumFromTo :: a -> a -> [a]
- enumFromThenTo :: a -> a -> a -> [a]
- class Eq a where
- class Fractional a => Floating a where
- class Num a => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
- class (Real a, Enum a) => Integral a where
- class Applicative m => Monad (m :: Type -> Type) where
- class Typeable a => Data a
- class Functor (f :: Type -> Type) where
- class Num a where
- class Eq a => Ord a where
- class Read a where
- class (Num a, Ord a) => Real a where
- toRational :: a -> Rational
- class (RealFrac a, Floating a) => RealFloat a where
- floatRadix :: a -> Integer
- floatDigits :: a -> Int
- floatRange :: a -> (Int, Int)
- decodeFloat :: a -> (Integer, Int)
- encodeFloat :: Integer -> Int -> a
- exponent :: a -> Int
- significand :: a -> a
- scaleFloat :: Int -> a -> a
- isNaN :: a -> Bool
- isInfinite :: a -> Bool
- isDenormalized :: a -> Bool
- isNegativeZero :: a -> Bool
- isIEEE :: a -> Bool
- atan2 :: a -> a -> a
- class (Real a, Fractional a) => RealFrac a where
- class Show a where
- class Ord a => Ix a where
- class Monad m => MonadFix (m :: Type -> Type) where
- mfix :: (a -> m a) -> m a
- class Monad m => MonadFail (m :: Type -> Type) where
- class IsString a where
- fromString :: String -> a
- class Functor f => Applicative (f :: Type -> Type) where
- class Foldable (t :: Type -> Type) where
- foldr :: (a -> b -> b) -> b -> t a -> b
- foldl :: (b -> a -> b) -> b -> t a -> b
- foldl' :: (b -> a -> b) -> b -> t a -> b
- foldr1 :: (a -> a -> a) -> t a -> a
- foldl1 :: (a -> a -> a) -> t a -> a
- null :: t a -> Bool
- length :: t a -> Int
- elem :: Eq a => a -> t a -> Bool
- maximum :: Ord a => t a -> a
- minimum :: Ord a => t a -> a
- sum :: Num a => t a -> a
- product :: Num a => t a -> a
- class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where
- traverse :: Applicative f => (a -> f b) -> t a -> f (t b)
- sequenceA :: Applicative f => t (f a) -> f (t a)
- mapM :: Monad m => (a -> m b) -> t a -> m (t b)
- sequence :: Monad m => t (m a) -> m (t a)
- class Generic a where
- class Generic1 (f :: k -> Type) where
- class Semigroup a where
- class Semigroup a => Monoid a where
- class Lift t
- class Contravariant (f :: Type -> Type) where
- class Monad m => MonadReader r (m :: Type -> Type) | m -> r where
- class Monad m => MonadState s (m :: Type -> Type) | m -> s where
- class Applicative f => Alternative (f :: Type -> Type) where
- class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where
- class (Bifunctor t, Bifoldable t) => Bitraversable (t :: Type -> Type -> Type) where
- bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> t a b -> f (t c d)
- class Bifoldable (p :: Type -> Type -> Type) where
- class Bifunctor (p :: Type -> Type -> Type) where
- showsPrec2 :: (Show2 f, Show a, Show b) => Int -> f a b -> ShowS
- readsPrec2 :: (Read2 f, Read a, Read b) => Int -> ReadS (f a b)
- compare2 :: (Ord2 f, Ord a, Ord b) => f a b -> f a b -> Ordering
- eq2 :: (Eq2 f, Eq a, Eq b) => f a b -> f a b -> Bool
- showsPrec1 :: (Show1 f, Show a) => Int -> f a -> ShowS
- readsPrec1 :: (Read1 f, Read a) => Int -> ReadS (f a)
- compare1 :: (Ord1 f, Ord a) => f a -> f a -> Ordering
- eq1 :: (Eq1 f, Eq a) => f a -> f a -> Bool
- class Eq1 (f :: Type -> Type) where
- class Eq1 f => Ord1 (f :: Type -> Type) where
- liftCompare :: (a -> b -> Ordering) -> f a -> f b -> Ordering
- class Read1 (f :: Type -> Type) where
- liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (f a)
- liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
- liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
- liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
- class Show1 (f :: Type -> Type) where
- class Eq2 (f :: Type -> Type -> Type) where
- class Eq2 f => Ord2 (f :: Type -> Type -> Type) where
- liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> f a c -> f b d -> Ordering
- class Read2 (f :: Type -> Type -> Type) where
- liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (f a b)
- liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
- liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
- liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
- class Show2 (f :: Type -> Type -> Type) where
- class Monad m => MonadIO (m :: Type -> Type) where
- class Category a => Arrow (a :: Type -> Type -> Type)
- class Arrow a => ArrowZero (a :: Type -> Type -> Type)
- class ArrowZero a => ArrowPlus (a :: Type -> Type -> Type)
- class Arrow a => ArrowChoice (a :: Type -> Type -> Type)
- class Arrow a => ArrowApply (a :: Type -> Type -> Type)
- class Arrow a => ArrowLoop (a :: Type -> Type -> Type)
- class (Typeable e, Show e) => Exception e where
- toException :: e -> SomeException
- fromException :: SomeException -> Maybe e
- displayException :: e -> String
- class Category (cat :: k -> k -> Type)
- class Storable a where
- readS_to_P :: ReadS a -> ReadP a
- readP_to_S :: ReadP a -> ReadS a
- type ReadS a = String -> [(a, String)]
- data ReadP a
- class Eq a => Bits a where
- (.&.) :: a -> a -> a
- (.|.) :: a -> a -> a
- xor :: a -> a -> a
- complement :: a -> a
- shift :: a -> Int -> a
- rotate :: a -> Int -> a
- zeroBits :: a
- bit :: Int -> a
- setBit :: a -> Int -> a
- clearBit :: a -> Int -> a
- complementBit :: a -> Int -> a
- testBit :: a -> Int -> Bool
- bitSizeMaybe :: a -> Maybe Int
- bitSize :: a -> Int
- isSigned :: a -> Bool
- shiftL :: a -> Int -> a
- unsafeShiftL :: a -> Int -> a
- shiftR :: a -> Int -> a
- unsafeShiftR :: a -> Int -> a
- rotateL :: a -> Int -> a
- rotateR :: a -> Int -> a
- popCount :: a -> Int
- class Bits b => FiniteBits b where
- finiteBitSize :: b -> Int
- countLeadingZeros :: b -> Int
- countTrailingZeros :: b -> Int
- class Default a where
- def :: a
- rnf2 :: (NFData2 p, NFData a, NFData b) => p a b -> ()
- rnf1 :: (NFData1 f, NFData a) => f a -> ()
- rwhnf :: a -> ()
- class NFData a where
- rnf :: a -> ()
- class NFData1 (f :: Type -> Type) where
- liftRnf :: (a -> ()) -> f a -> ()
- class NFData2 (p :: Type -> Type -> Type) where
- liftRnf2 :: (a -> ()) -> (b -> ()) -> p a b -> ()
- class Monad m => MonadThrow (m :: Type -> Type) where
- class MonadThrow m => MonadCatch (m :: Type -> Type) where
- class MonadCatch m => MonadMask (m :: Type -> Type) where
- mask :: ((forall a. m a -> m a) -> m b) -> m b
- uninterruptibleMask :: ((forall a. m a -> m a) -> m b) -> m b
- generalBracket :: m a -> (a -> ExitCase b -> m c) -> (a -> m b) -> m (b, c)
- class GEnum a where
- genum :: [a]
- hashUsing :: Hashable b => (a -> b) -> Int -> a -> Int
- hashWithSalt2 :: (Hashable2 f, Hashable a, Hashable b) => Int -> f a b -> Int
- hashWithSalt1 :: (Hashable1 f, Hashable a) => Int -> f a -> Int
- class Hashable a where
- hashWithSalt :: Int -> a -> Int
- hash :: a -> Int
- class Hashable1 (t :: Type -> Type) where
- liftHashWithSalt :: (Int -> a -> Int) -> Int -> t a -> Int
- class Hashable2 (t :: Type -> Type -> Type) where
- class Monad m => MonadError e (m :: Type -> Type) | m -> e where
- throwError :: e -> m a
- catchError :: m a -> (e -> m a) -> m a
- class (Monoid w, Monad m) => MonadWriter w (m :: Type -> Type) | m -> w where
- class MonadTrans (t :: (Type -> Type) -> Type -> Type) where
- gmempty :: (Generic a, GMonoid (Rep a)) => a
- gmappend :: (Generic a, GSemigroup (Rep a)) => a -> a -> a
- type Rep_ a = Rep a ()
- fromGeneric :: Generic a => a -> Rep a x
- toGeneric :: Generic a => Rep a x -> a
- fromGeneric1 :: Generic1 f => f a -> Rep1 f a
- toGeneric1 :: Generic1 f => Rep1 f a -> f a
Documentation
The value of seq a b is bottom if a is bottom, and
otherwise equal to b. In other words, it evaluates the first
argument a to weak head normal form (WHNF). seq is usually
introduced to improve performance by avoiding unneeded laziness.
A note on evaluation order: the expression seq a b does
not guarantee that a will be evaluated before b.
The only guarantee given by seq is that the both a
and b will be evaluated before seq returns a value.
In particular, this means that b may be evaluated before
a. If you need to guarantee a specific order of evaluation,
you must use the function pseq from the "parallel" package.
The IsList class and its methods are intended to be used in
conjunction with the OverloadedLists extension.
Since: base-4.7.0.0
Associated Types
The Item type function returns the type of items of the structure
l.
Methods
The fromList function constructs the structure l from the given
list of Item l
Instances
| IsList CallStack | Be aware that 'fromList . toList = id' only for unfrozen Since: base-4.9.0.0 |
| IsList Version | Since: base-4.8.0.0 |
| IsList IntSet | Since: containers-0.5.6.2 |
| IsList Tokens Source # |
NOTE |
| IsList [a] | Since: base-4.7.0.0 |
| IsList (NonEmpty a) | Since: base-4.9.0.0 |
| IsList (IntMap a) | Since: containers-0.5.6.2 |
| IsList (Seq a) | |
| Ord a => IsList (Set a) | Since: containers-0.5.6.2 |
| IsList (Array a) | |
| Ord k => IsList (Map k v) | Since: containers-0.5.6.2 |
The Bounded class is used to name the upper and lower limits of a
type. Ord is not a superclass of Bounded since types that are not
totally ordered may also have upper and lower bounds.
The Bounded class may be derived for any enumeration type;
minBound is the first constructor listed in the data declaration
and maxBound is the last.
Bounded may also be derived for single-constructor datatypes whose
constituent types are in Bounded.
Instances
Class Enum defines operations on sequentially ordered types.
The enumFrom... methods are used in Haskell's translation of
arithmetic sequences.
Instances of Enum may be derived for any enumeration type (types
whose constructors have no fields). The nullary constructors are
assumed to be numbered left-to-right by fromEnum from 0 through n-1.
See Chapter 10 of the Haskell Report for more details.
For any type that is an instance of class Bounded as well as Enum,
the following should hold:
- The calls
andsuccmaxBoundshould result in a runtime error.predminBound fromEnumandtoEnumshould give a runtime error if the result value is not representable in the result type. For example,is an error.toEnum7 ::BoolenumFromandenumFromThenshould be defined with an implicit bound, thus:
enumFrom x = enumFromTo x maxBound
enumFromThen x y = enumFromThenTo x y bound
where
bound | fromEnum y >= fromEnum x = maxBound
| otherwise = minBoundMethods
the successor of a value. For numeric types, succ adds 1.
the predecessor of a value. For numeric types, pred subtracts 1.
Convert from an Int.
Convert to an Int.
It is implementation-dependent what fromEnum returns when
applied to a value that is too large to fit in an Int.
Used in Haskell's translation of [n..] with [n..] = enumFrom n,
a possible implementation being enumFrom n = n : enumFrom (succ n).
For example:
enumFrom 4 :: [Integer] = [4,5,6,7,...]
enumFrom 6 :: [Int] = [6,7,8,9,...,maxBound :: Int]
enumFromThen :: a -> a -> [a] #
Used in Haskell's translation of [n,n'..]
with [n,n'..] = enumFromThen n n', a possible implementation being
enumFromThen n n' = n : n' : worker (f x) (f x n'),
worker s v = v : worker s (s v), x = fromEnum n' - fromEnum n and
f n y
| n > 0 = f (n - 1) (succ y)
| n < 0 = f (n + 1) (pred y)
| otherwise = y
For example:
enumFromThen 4 6 :: [Integer] = [4,6,8,10...]
enumFromThen 6 2 :: [Int] = [6,2,-2,-6,...,minBound :: Int]
enumFromTo :: a -> a -> [a] #
Used in Haskell's translation of [n..m] with
[n..m] = enumFromTo n m, a possible implementation being
enumFromTo n m
| n <= m = n : enumFromTo (succ n) m
| otherwise = [].
For example:
enumFromTo 6 10 :: [Int] = [6,7,8,9,10]
enumFromTo 42 1 :: [Integer] = []
enumFromThenTo :: a -> a -> a -> [a] #
Used in Haskell's translation of [n,n'..m] with
[n,n'..m] = enumFromThenTo n n' m, a possible implementation
being enumFromThenTo n n' m = worker (f x) (c x) n m,
x = fromEnum n' - fromEnum n, c x = bool (>=) ((x 0)
f n y
| n > 0 = f (n - 1) (succ y)
| n < 0 = f (n + 1) (pred y)
| otherwise = y and
worker s c v m
| c v m = v : worker s c (s v) m
| otherwise = []
For example:
enumFromThenTo 4 2 -6 :: [Integer] = [4,2,0,-2,-4,-6]
enumFromThenTo 6 8 2 :: [Int] = []
Instances
The Eq class defines equality (==) and inequality (/=).
All the basic datatypes exported by the Prelude are instances of Eq,
and Eq may be derived for any datatype whose constituents are also
instances of Eq.
The Haskell Report defines no laws for Eq. However, == is customarily
expected to implement an equivalence relationship where two values comparing
equal are indistinguishable by "public" functions, with a "public" function
being one not allowing to see implementation details. For example, for a
type representing non-normalised natural numbers modulo 100, a "public"
function doesn't make the difference between 1 and 201. It is expected to
have the following properties:
Instances
class Fractional a => Floating a where #
Trigonometric and hyperbolic functions and related functions.
The Haskell Report defines no laws for Floating. However, '(+)', '(*)'
and exp are customarily expected to define an exponential field and have
the following properties:
exp (a + b)= @exp a * exp bexp (fromInteger 0)=fromInteger 1
Minimal complete definition
pi, exp, log, sin, cos, asin, acos, atan, sinh, cosh, asinh, acosh, atanh
Instances
class Num a => Fractional a where #
Fractional numbers, supporting real division.
The Haskell Report defines no laws for Fractional. However, '(+)' and
'(*)' are customarily expected to define a division ring and have the
following properties:
recipgives the multiplicative inversex * recip x=recip x * x=fromInteger 1
Note that it isn't customarily expected that a type instance of
Fractional implement a field. However, all instances in base do.
Minimal complete definition
fromRational, (recip | (/))
Methods
fractional division
reciprocal fraction
fromRational :: Rational -> a #
Conversion from a Rational (that is ).
A floating literal stands for an application of Ratio IntegerfromRational
to a value of type Rational, so such literals have type
(.Fractional a) => a
Instances
| Fractional CFloat | |
| Fractional CDouble | |
| Integral a => Fractional (Ratio a) | Since: base-2.0.1 |
| RealFloat a => Fractional (Complex a) | Since: base-2.1 |
| HasResolution a => Fractional (Fixed a) | Since: base-2.1 |
| Fractional a => Fractional (Identity a) | Since: base-4.9.0.0 |
| Fractional a => Fractional (Op a b) | |
| Fractional a => Fractional (Const a b) | Since: base-4.9.0.0 |
class (Real a, Enum a) => Integral a where #
Integral numbers, supporting integer division.
The Haskell Report defines no laws for Integral. However, Integral
instances are customarily expected to define a Euclidean domain and have the
following properties for the 'div'/'mod' and 'quot'/'rem' pairs, given
suitable Euclidean functions f and g:
x=y * quot x y + rem x ywithrem x y=fromInteger 0org (rem x y)<g yx=y * div x y + mod x ywithmod x y=fromInteger 0orf (mod x y)<f y
An example of a suitable Euclidean function, for Integer's instance, is
abs.
Methods
quot :: a -> a -> a infixl 7 #
integer division truncated toward zero
integer remainder, satisfying
(x `quot` y)*y + (x `rem` y) == x
integer division truncated toward negative infinity
integer modulus, satisfying
(x `div` y)*y + (x `mod` y) == x
conversion to Integer
Instances
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 laws:
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.
(>>) :: 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.
Inject a value into the monadic type.
Instances
| Monad [] | Since: base-2.1 |
| Monad Maybe | Since: base-2.1 |
| Monad IO | Since: base-2.1 |
| Monad Par1 | Since: base-4.9.0.0 |
| Monad Q | |
| Monad Complex | Since: base-4.9.0.0 |
| Monad Min | Since: base-4.9.0.0 |
| Monad Max | Since: base-4.9.0.0 |
| Monad First | Since: base-4.9.0.0 |
| Monad Last | Since: base-4.9.0.0 |
| Monad Option | Since: base-4.9.0.0 |
| Monad Identity | Since: base-4.8.0.0 |
| Monad STM | Since: base-4.3.0.0 |
| Monad First | Since: base-4.8.0.0 |
| Monad Last | Since: base-4.8.0.0 |
| Monad Dual | Since: base-4.8.0.0 |
| Monad Sum | Since: base-4.8.0.0 |
| Monad Product | Since: base-4.8.0.0 |
| Monad Down | Since: base-4.11.0.0 |
| Monad ReadPrec | Since: base-2.1 |
| Monad ReadP | Since: base-2.1 |
| Monad NonEmpty | Since: base-4.9.0.0 |
| Monad Put | |
| Monad Tree | |
| Monad Seq | |
| Monad Array | |
| Monad P | Since: base-2.1 |
| Monad (Either e) | Since: base-4.4.0.0 |
| Monad (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Monoid a => Monad ((,) a) | Since: base-4.9.0.0 |
| Monad (Parser i) | |
| Monad m => Monad (WrappedMonad m) | Since: base-4.7.0.0 |
Defined in Control.Applicative Methods (>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b # (>>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b # return :: a -> WrappedMonad m a # fail :: String -> WrappedMonad m a # | |
| ArrowApply a => Monad (ArrowMonad a) | Since: base-2.1 |
Defined in Control.Arrow Methods (>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b # (>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b # return :: a0 -> ArrowMonad a a0 # fail :: String -> ArrowMonad a a0 # | |
| Monad (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Monad m => Monad (MaybeT m) | |
| Monad m => Monad (ListT m) | |
| Monad (SetM s) | |
| Monad f => Monad (Rec1 f) | Since: base-4.9.0.0 |
| Monad f => Monad (Ap f) | Since: base-4.12.0.0 |
| Monad f => Monad (Alt f) | Since: base-4.8.0.0 |
| Monad m => Monad (IdentityT m) | |
| (Applicative f, Monad f) => Monad (WhenMissing f x) | Equivalent to Since: containers-0.5.9 |
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 # fail :: String -> WhenMissing f x a # | |
| Monad m => Monad (ExceptT e m) | |
| (Monad m, Error e) => Monad (ErrorT e m) | |
| Monad m => Monad (StateT s m) | |
| Monad m => Monad (StateT s m) | |
| (Monoid w, Monad m) => Monad (WriterT w m) | |
| (Monoid w, Monad m) => Monad (WriterT w m) | |
| Monad ((->) r :: Type -> Type) | Since: base-2.1 |
| (Monad f, Monad g) => Monad (f :*: g) | Since: base-4.9.0.0 |
| (Monad f, Monad g) => Monad (Product f g) | Since: base-4.9.0.0 |
| (Monad f, Applicative f) => Monad (WhenMatched f x y) | Equivalent to Since: containers-0.5.9 |
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 # fail :: String -> WhenMatched f x y a # | |
| (Applicative f, Monad f) => Monad (WhenMissing f k x) | Equivalent to Since: containers-0.5.9 |
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 # fail :: String -> WhenMissing f k x a # | |
| Monad (ContT r m) | |
| Monad m => Monad (ReaderT r m) | |
| Monad f => Monad (M1 i c f) | Since: base-4.9.0.0 |
| (Monad f, Applicative f) => Monad (WhenMatched f k x y) | Equivalent to Since: containers-0.5.9 |
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 # fail :: String -> WhenMatched f k x y a # | |
| (Monoid w, Monad m) => Monad (RWST r w s m) | |
| (Monoid w, Monad m) => Monad (RWST r w s m) | |
The Data class comprehends a fundamental primitive gfoldl for
folding over constructor applications, say terms. This primitive can
be instantiated in several ways to map over the immediate subterms
of a term; see the gmap combinators later in this class. Indeed, a
generic programmer does not necessarily need to use the ingenious gfoldl
primitive but rather the intuitive gmap combinators. The gfoldl
primitive is completed by means to query top-level constructors, to
turn constructor representations into proper terms, and to list all
possible datatype constructors. This completion allows us to serve
generic programming scenarios like read, show, equality, term generation.
The combinators gmapT, gmapQ, gmapM, etc are all provided with
default definitions in terms of gfoldl, leaving open the opportunity
to provide datatype-specific definitions.
(The inclusion of the gmap combinators as members of class Data
allows the programmer or the compiler to derive specialised, and maybe
more efficient code per datatype. Note: gfoldl is more higher-order
than the gmap combinators. This is subject to ongoing benchmarking
experiments. It might turn out that the gmap combinators will be
moved out of the class Data.)
Conceptually, the definition of the gmap combinators in terms of the
primitive gfoldl requires the identification of the gfoldl function
arguments. Technically, we also need to identify the type constructor
c for the construction of the result type from the folded term type.
In the definition of gmapQx combinators, we use phantom type
constructors for the c in the type of gfoldl because the result type
of a query does not involve the (polymorphic) type of the term argument.
In the definition of gmapQl we simply use the plain constant type
constructor because gfoldl is left-associative anyway and so it is
readily suited to fold a left-associative binary operation over the
immediate subterms. In the definition of gmapQr, extra effort is
needed. We use a higher-order accumulation trick to mediate between
left-associative constructor application vs. right-associative binary
operation (e.g., (:)). When the query is meant to compute a value
of type r, then the result type withing generic folding is r -> r.
So the result of folding is a function to which we finally pass the
right unit.
With the -XDeriveDataTypeable option, GHC can generate instances of the
Data class automatically. For example, given the declaration
data T a b = C1 a b | C2 deriving (Typeable, Data)
GHC will generate an instance that is equivalent to
instance (Data a, Data b) => Data (T a b) where
gfoldl k z (C1 a b) = z C1 `k` a `k` b
gfoldl k z C2 = z C2
gunfold k z c = case constrIndex c of
1 -> k (k (z C1))
2 -> z C2
toConstr (C1 _ _) = con_C1
toConstr C2 = con_C2
dataTypeOf _ = ty_T
con_C1 = mkConstr ty_T "C1" [] Prefix
con_C2 = mkConstr ty_T "C2" [] Prefix
ty_T = mkDataType "Module.T" [con_C1, con_C2]This is suitable for datatypes that are exported transparently.
Minimal complete definition
Instances
| Data Bool | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Bool -> c Bool # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Bool # dataTypeOf :: Bool -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Bool) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Bool) # gmapT :: (forall b. Data b => b -> b) -> Bool -> Bool # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Bool -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Bool -> r # gmapQ :: (forall d. Data d => d -> u) -> Bool -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Bool -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Bool -> m Bool # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Bool -> m Bool # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Bool -> m Bool # | |
| Data Char | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Char -> c Char # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Char # dataTypeOf :: Char -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Char) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Char) # gmapT :: (forall b. Data b => b -> b) -> Char -> Char # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Char -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Char -> r # gmapQ :: (forall d. Data d => d -> u) -> Char -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Char -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Char -> m Char # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Char -> m Char # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Char -> m Char # | |
| Data Double | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Double -> c Double # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Double # toConstr :: Double -> Constr # dataTypeOf :: Double -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Double) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Double) # gmapT :: (forall b. Data b => b -> b) -> Double -> Double # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r # gmapQ :: (forall d. Data d => d -> u) -> Double -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Double -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Double -> m Double # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double # | |
| Data Float | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Float -> c Float # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Float # dataTypeOf :: Float -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Float) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Float) # gmapT :: (forall b. Data b => b -> b) -> Float -> Float # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r # gmapQ :: (forall d. Data d => d -> u) -> Float -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Float -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Float -> m Float # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float # | |
| Data Int | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int -> c Int # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int # dataTypeOf :: Int -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int) # gmapT :: (forall b. Data b => b -> b) -> Int -> Int # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int -> r # gmapQ :: (forall d. Data d => d -> u) -> Int -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int -> m Int # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int -> m Int # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int -> m Int # | |
| Data Int8 | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int8 -> c Int8 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int8 # dataTypeOf :: Int8 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int8) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int8) # gmapT :: (forall b. Data b => b -> b) -> Int8 -> Int8 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int8 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int8 -> r # gmapQ :: (forall d. Data d => d -> u) -> Int8 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int8 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int8 -> m Int8 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int8 -> m Int8 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int8 -> m Int8 # | |
| Data Int16 | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int16 -> c Int16 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int16 # dataTypeOf :: Int16 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int16) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int16) # gmapT :: (forall b. Data b => b -> b) -> Int16 -> Int16 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int16 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int16 -> r # gmapQ :: (forall d. Data d => d -> u) -> Int16 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int16 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int16 -> m Int16 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int16 -> m Int16 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int16 -> m Int16 # | |
| Data Int32 | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int32 -> c Int32 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int32 # dataTypeOf :: Int32 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int32) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int32) # gmapT :: (forall b. Data b => b -> b) -> Int32 -> Int32 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int32 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int32 -> r # gmapQ :: (forall d. Data d => d -> u) -> Int32 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int32 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int32 -> m Int32 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int32 -> m Int32 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int32 -> m Int32 # | |
| Data Int64 | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int64 -> c Int64 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int64 # dataTypeOf :: Int64 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int64) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int64) # gmapT :: (forall b. Data b => b -> b) -> Int64 -> Int64 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int64 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int64 -> r # gmapQ :: (forall d. Data d => d -> u) -> Int64 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int64 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int64 -> m Int64 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int64 -> m Int64 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int64 -> m Int64 # | |
| Data Integer | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Integer -> c Integer # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Integer # toConstr :: Integer -> Constr # dataTypeOf :: Integer -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Integer) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Integer) # gmapT :: (forall b. Data b => b -> b) -> Integer -> Integer # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r # gmapQ :: (forall d. Data d => d -> u) -> Integer -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Integer -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Integer -> m Integer # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer # | |
| Data Natural | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Natural -> c Natural # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Natural # toConstr :: Natural -> Constr # dataTypeOf :: Natural -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Natural) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Natural) # gmapT :: (forall b. Data b => b -> b) -> Natural -> Natural # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Natural -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Natural -> r # gmapQ :: (forall d. Data d => d -> u) -> Natural -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Natural -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Natural -> m Natural # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Natural -> m Natural # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Natural -> m Natural # | |
| Data Ordering | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ordering -> c Ordering # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Ordering # toConstr :: Ordering -> Constr # dataTypeOf :: Ordering -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Ordering) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Ordering) # gmapT :: (forall b. Data b => b -> b) -> Ordering -> Ordering # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r # gmapQ :: (forall d. Data d => d -> u) -> Ordering -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Ordering -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering # | |
| Data Word | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word -> c Word # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word # dataTypeOf :: Word -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word) # gmapT :: (forall b. Data b => b -> b) -> Word -> Word # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word -> r # gmapQ :: (forall d. Data d => d -> u) -> Word -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word -> m Word # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word -> m Word # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word -> m Word # | |
| Data Word8 | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word8 -> c Word8 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word8 # dataTypeOf :: Word8 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word8) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word8) # gmapT :: (forall b. Data b => b -> b) -> Word8 -> Word8 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word8 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word8 -> r # gmapQ :: (forall d. Data d => d -> u) -> Word8 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word8 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word8 -> m Word8 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word8 -> m Word8 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word8 -> m Word8 # | |
| Data Word16 | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word16 -> c Word16 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word16 # toConstr :: Word16 -> Constr # dataTypeOf :: Word16 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word16) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word16) # gmapT :: (forall b. Data b => b -> b) -> Word16 -> Word16 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word16 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word16 -> r # gmapQ :: (forall d. Data d => d -> u) -> Word16 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word16 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word16 -> m Word16 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word16 -> m Word16 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word16 -> m Word16 # | |
| Data Word32 | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word32 -> c Word32 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word32 # toConstr :: Word32 -> Constr # dataTypeOf :: Word32 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word32) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word32) # gmapT :: (forall b. Data b => b -> b) -> Word32 -> Word32 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word32 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word32 -> r # gmapQ :: (forall d. Data d => d -> u) -> Word32 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word32 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word32 -> m Word32 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word32 -> m Word32 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word32 -> m Word32 # | |
| Data Word64 | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word64 -> c Word64 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word64 # toConstr :: Word64 -> Constr # dataTypeOf :: Word64 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word64) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word64) # gmapT :: (forall b. Data b => b -> b) -> Word64 -> Word64 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word64 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word64 -> r # gmapQ :: (forall d. Data d => d -> u) -> Word64 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word64 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word64 -> m Word64 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word64 -> m Word64 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word64 -> m Word64 # | |
| Data Exp | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Exp -> c Exp # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Exp # dataTypeOf :: Exp -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Exp) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Exp) # gmapT :: (forall b. Data b => b -> b) -> Exp -> Exp # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Exp -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Exp -> r # gmapQ :: (forall d. Data d => d -> u) -> Exp -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Exp -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Exp -> m Exp # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Exp -> m Exp # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Exp -> m Exp # | |
| Data Match | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Match -> c Match # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Match # dataTypeOf :: Match -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Match) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Match) # gmapT :: (forall b. Data b => b -> b) -> Match -> Match # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Match -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Match -> r # gmapQ :: (forall d. Data d => d -> u) -> Match -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Match -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Match -> m Match # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Match -> m Match # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Match -> m Match # | |
| Data Clause | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Clause -> c Clause # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Clause # toConstr :: Clause -> Constr # dataTypeOf :: Clause -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Clause) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Clause) # gmapT :: (forall b. Data b => b -> b) -> Clause -> Clause # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Clause -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Clause -> r # gmapQ :: (forall d. Data d => d -> u) -> Clause -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Clause -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Clause -> m Clause # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Clause -> m Clause # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Clause -> m Clause # | |
| Data Pat | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Pat -> c Pat # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Pat # dataTypeOf :: Pat -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Pat) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Pat) # gmapT :: (forall b. Data b => b -> b) -> Pat -> Pat # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Pat -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Pat -> r # gmapQ :: (forall d. Data d => d -> u) -> Pat -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Pat -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Pat -> m Pat # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Pat -> m Pat # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Pat -> m Pat # | |
| Data Type | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Type -> c Type # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Type # dataTypeOf :: Type -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Type) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Type) # gmapT :: (forall b. Data b => b -> b) -> Type -> Type # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Type -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Type -> r # gmapQ :: (forall d. Data d => d -> u) -> Type -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Type -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Type -> m Type # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Type -> m Type # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Type -> m Type # | |
| Data Dec | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Dec -> c Dec # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Dec # dataTypeOf :: Dec -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Dec) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Dec) # gmapT :: (forall b. Data b => b -> b) -> Dec -> Dec # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Dec -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Dec -> r # gmapQ :: (forall d. Data d => d -> u) -> Dec -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Dec -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Dec -> m Dec # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Dec -> m Dec # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Dec -> m Dec # | |
| Data Name | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Name -> c Name # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Name # dataTypeOf :: Name -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Name) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Name) # gmapT :: (forall b. Data b => b -> b) -> Name -> Name # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Name -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Name -> r # gmapQ :: (forall d. Data d => d -> u) -> Name -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Name -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Name -> m Name # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Name -> m Name # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Name -> m Name # | |
| Data FunDep | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> FunDep -> c FunDep # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c FunDep # toConstr :: FunDep -> Constr # dataTypeOf :: FunDep -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c FunDep) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c FunDep) # gmapT :: (forall b. Data b => b -> b) -> FunDep -> FunDep # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> FunDep -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> FunDep -> r # gmapQ :: (forall d. Data d => d -> u) -> FunDep -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> FunDep -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> FunDep -> m FunDep # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> FunDep -> m FunDep # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> FunDep -> m FunDep # | |
| Data InjectivityAnn | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> InjectivityAnn -> c InjectivityAnn # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c InjectivityAnn # toConstr :: InjectivityAnn -> Constr # dataTypeOf :: InjectivityAnn -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c InjectivityAnn) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c InjectivityAnn) # gmapT :: (forall b. Data b => b -> b) -> InjectivityAnn -> InjectivityAnn # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> InjectivityAnn -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> InjectivityAnn -> r # gmapQ :: (forall d. Data d => d -> u) -> InjectivityAnn -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> InjectivityAnn -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> InjectivityAnn -> m InjectivityAnn # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> InjectivityAnn -> m InjectivityAnn # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> InjectivityAnn -> m InjectivityAnn # | |
| Data Overlap | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Overlap -> c Overlap # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Overlap # toConstr :: Overlap -> Constr # dataTypeOf :: Overlap -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Overlap) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Overlap) # gmapT :: (forall b. Data b => b -> b) -> Overlap -> Overlap # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Overlap -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Overlap -> r # gmapQ :: (forall d. Data d => d -> u) -> Overlap -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Overlap -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Overlap -> m Overlap # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Overlap -> m Overlap # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Overlap -> m Overlap # | |
| Data () | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> () -> c () # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c () # dataTypeOf :: () -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ()) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ()) # gmapT :: (forall b. Data b => b -> b) -> () -> () # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> () -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> () -> r # gmapQ :: (forall d. Data d => d -> u) -> () -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> () -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> () -> m () # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> () -> m () # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> () -> m () # | |
| Data ByteString | |
Defined in Data.ByteString.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ByteString -> c ByteString # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ByteString # toConstr :: ByteString -> Constr # dataTypeOf :: ByteString -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ByteString) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ByteString) # gmapT :: (forall b. Data b => b -> b) -> ByteString -> ByteString # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r # gmapQ :: (forall d. Data d => d -> u) -> ByteString -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ByteString -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # | |
| Data ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ByteString -> c ByteString # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ByteString # toConstr :: ByteString -> Constr # dataTypeOf :: ByteString -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ByteString) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ByteString) # gmapT :: (forall b. Data b => b -> b) -> ByteString -> ByteString # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r # gmapQ :: (forall d. Data d => d -> u) -> ByteString -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ByteString -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # | |
| Data Void | Since: base-4.8.0.0 |
Defined in Data.Void Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Void -> c Void # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Void # dataTypeOf :: Void -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Void) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Void) # gmapT :: (forall b. Data b => b -> b) -> Void -> Void # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r # gmapQ :: (forall d. Data d => d -> u) -> Void -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Void -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Void -> m Void # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void # | |
| Data SpecConstrAnnotation | Since: base-4.3.0.0 |
Defined in GHC.Exts Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SpecConstrAnnotation -> c SpecConstrAnnotation # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c SpecConstrAnnotation # toConstr :: SpecConstrAnnotation -> Constr # dataTypeOf :: SpecConstrAnnotation -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c SpecConstrAnnotation) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c SpecConstrAnnotation) # gmapT :: (forall b. Data b => b -> b) -> SpecConstrAnnotation -> SpecConstrAnnotation # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SpecConstrAnnotation -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SpecConstrAnnotation -> r # gmapQ :: (forall d. Data d => d -> u) -> SpecConstrAnnotation -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> SpecConstrAnnotation -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> SpecConstrAnnotation -> m SpecConstrAnnotation # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SpecConstrAnnotation -> m SpecConstrAnnotation # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SpecConstrAnnotation -> m SpecConstrAnnotation # | |
| Data Version | Since: base-4.7.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Version -> c Version # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Version # toConstr :: Version -> Constr # dataTypeOf :: Version -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Version) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Version) # gmapT :: (forall b. Data b => b -> b) -> Version -> Version # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Version -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Version -> r # gmapQ :: (forall d. Data d => d -> u) -> Version -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Version -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Version -> m Version # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Version -> m Version # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Version -> m Version # | |
| Data All | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> All -> c All # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c All # dataTypeOf :: All -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c All) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c All) # gmapT :: (forall b. Data b => b -> b) -> All -> All # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> All -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> All -> r # gmapQ :: (forall d. Data d => d -> u) -> All -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> All -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> All -> m All # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> All -> m All # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> All -> m All # | |
| Data Any | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Any -> c Any # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Any # dataTypeOf :: Any -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Any) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Any) # gmapT :: (forall b. Data b => b -> b) -> Any -> Any # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Any -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Any -> r # gmapQ :: (forall d. Data d => d -> u) -> Any -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Any -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Any -> m Any # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Any -> m Any # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Any -> m Any # | |
| Data Fixity | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Fixity -> c Fixity # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Fixity # toConstr :: Fixity -> Constr # dataTypeOf :: Fixity -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Fixity) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Fixity) # gmapT :: (forall b. Data b => b -> b) -> Fixity -> Fixity # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Fixity -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Fixity -> r # gmapQ :: (forall d. Data d => d -> u) -> Fixity -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Fixity -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Fixity -> m Fixity # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Fixity -> m Fixity # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Fixity -> m Fixity # | |
| Data Associativity | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Associativity -> c Associativity # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Associativity # toConstr :: Associativity -> Constr # dataTypeOf :: Associativity -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Associativity) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Associativity) # gmapT :: (forall b. Data b => b -> b) -> Associativity -> Associativity # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Associativity -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Associativity -> r # gmapQ :: (forall d. Data d => d -> u) -> Associativity -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Associativity -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Associativity -> m Associativity # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Associativity -> m Associativity # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Associativity -> m Associativity # | |
| Data SourceUnpackedness | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SourceUnpackedness -> c SourceUnpackedness # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c SourceUnpackedness # toConstr :: SourceUnpackedness -> Constr # dataTypeOf :: SourceUnpackedness -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c SourceUnpackedness) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c SourceUnpackedness) # gmapT :: (forall b. Data b => b -> b) -> SourceUnpackedness -> SourceUnpackedness # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SourceUnpackedness -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SourceUnpackedness -> r # gmapQ :: (forall d. Data d => d -> u) -> SourceUnpackedness -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> SourceUnpackedness -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> SourceUnpackedness -> m SourceUnpackedness # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SourceUnpackedness -> m SourceUnpackedness # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SourceUnpackedness -> m SourceUnpackedness # | |
| Data SourceStrictness | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SourceStrictness -> c SourceStrictness # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c SourceStrictness # toConstr :: SourceStrictness -> Constr # dataTypeOf :: SourceStrictness -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c SourceStrictness) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c SourceStrictness) # gmapT :: (forall b. Data b => b -> b) -> SourceStrictness -> SourceStrictness # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SourceStrictness -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SourceStrictness -> r # gmapQ :: (forall d. Data d => d -> u) -> SourceStrictness -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> SourceStrictness -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> SourceStrictness -> m SourceStrictness # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SourceStrictness -> m SourceStrictness # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SourceStrictness -> m SourceStrictness # | |
| Data DecidedStrictness | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> DecidedStrictness -> c DecidedStrictness # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c DecidedStrictness # toConstr :: DecidedStrictness -> Constr # dataTypeOf :: DecidedStrictness -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c DecidedStrictness) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c DecidedStrictness) # gmapT :: (forall b. Data b => b -> b) -> DecidedStrictness -> DecidedStrictness # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> DecidedStrictness -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> DecidedStrictness -> r # gmapQ :: (forall d. Data d => d -> u) -> DecidedStrictness -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> DecidedStrictness -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> DecidedStrictness -> m DecidedStrictness # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> DecidedStrictness -> m DecidedStrictness # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> DecidedStrictness -> m DecidedStrictness # | |
| Data WordPtr | Since: base-4.11.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> WordPtr -> c WordPtr # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c WordPtr # toConstr :: WordPtr -> Constr # dataTypeOf :: WordPtr -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c WordPtr) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c WordPtr) # gmapT :: (forall b. Data b => b -> b) -> WordPtr -> WordPtr # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> WordPtr -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> WordPtr -> r # gmapQ :: (forall d. Data d => d -> u) -> WordPtr -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> WordPtr -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> WordPtr -> m WordPtr # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> WordPtr -> m WordPtr # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> WordPtr -> m WordPtr # | |
| Data IntPtr | Since: base-4.11.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntPtr -> c IntPtr # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c IntPtr # toConstr :: IntPtr -> Constr # dataTypeOf :: IntPtr -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c IntPtr) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c IntPtr) # gmapT :: (forall b. Data b => b -> b) -> IntPtr -> IntPtr # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntPtr -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntPtr -> r # gmapQ :: (forall d. Data d => d -> u) -> IntPtr -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntPtr -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntPtr -> m IntPtr # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntPtr -> m IntPtr # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntPtr -> m IntPtr # | |
| Data ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ShortByteString -> c ShortByteString # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ShortByteString # toConstr :: ShortByteString -> Constr # dataTypeOf :: ShortByteString -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ShortByteString) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ShortByteString) # gmapT :: (forall b. Data b => b -> b) -> ShortByteString -> ShortByteString # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ShortByteString -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ShortByteString -> r # gmapQ :: (forall d. Data d => d -> u) -> ShortByteString -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ShortByteString -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ShortByteString -> m ShortByteString # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ShortByteString -> m ShortByteString # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ShortByteString -> m ShortByteString # | |
| Data IntSet | |
Defined in Data.IntSet.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntSet -> c IntSet # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c IntSet # toConstr :: IntSet -> Constr # dataTypeOf :: IntSet -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c IntSet) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c IntSet) # gmapT :: (forall b. Data b => b -> b) -> IntSet -> IntSet # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r # gmapQ :: (forall d. Data d => d -> u) -> IntSet -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntSet -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # | |
| Data CPU | |
Defined in System.CPU Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> CPU -> c CPU # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c CPU # dataTypeOf :: CPU -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c CPU) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c CPU) # gmapT :: (forall b. Data b => b -> b) -> CPU -> CPU # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CPU -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CPU -> r # gmapQ :: (forall d. Data d => d -> u) -> CPU -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> CPU -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> CPU -> m CPU # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CPU -> m CPU # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CPU -> m CPU # | |
| Data Con | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Con -> c Con # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Con # dataTypeOf :: Con -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Con) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Con) # gmapT :: (forall b. Data b => b -> b) -> Con -> Con # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Con -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Con -> r # gmapQ :: (forall d. Data d => d -> u) -> Con -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Con -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Con -> m Con # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Con -> m Con # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Con -> m Con # | |
| Data TyVarBndr | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> TyVarBndr -> c TyVarBndr # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c TyVarBndr # toConstr :: TyVarBndr -> Constr # dataTypeOf :: TyVarBndr -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c TyVarBndr) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c TyVarBndr) # gmapT :: (forall b. Data b => b -> b) -> TyVarBndr -> TyVarBndr # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> TyVarBndr -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> TyVarBndr -> r # gmapQ :: (forall d. Data d => d -> u) -> TyVarBndr -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> TyVarBndr -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> TyVarBndr -> m TyVarBndr # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> TyVarBndr -> m TyVarBndr # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> TyVarBndr -> m TyVarBndr # | |
| Data ModName | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ModName -> c ModName # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ModName # toConstr :: ModName -> Constr # dataTypeOf :: ModName -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ModName) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ModName) # gmapT :: (forall b. Data b => b -> b) -> ModName -> ModName # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ModName -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ModName -> r # gmapQ :: (forall d. Data d => d -> u) -> ModName -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ModName -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ModName -> m ModName # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ModName -> m ModName # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ModName -> m ModName # | |
| Data PkgName | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> PkgName -> c PkgName # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c PkgName # toConstr :: PkgName -> Constr # dataTypeOf :: PkgName -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c PkgName) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c PkgName) # gmapT :: (forall b. Data b => b -> b) -> PkgName -> PkgName # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> PkgName -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> PkgName -> r # gmapQ :: (forall d. Data d => d -> u) -> PkgName -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> PkgName -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> PkgName -> m PkgName # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> PkgName -> m PkgName # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> PkgName -> m PkgName # | |
| Data Module | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Module -> c Module # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Module # toConstr :: Module -> Constr # dataTypeOf :: Module -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Module) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Module) # gmapT :: (forall b. Data b => b -> b) -> Module -> Module # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Module -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Module -> r # gmapQ :: (forall d. Data d => d -> u) -> Module -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Module -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Module -> m Module # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Module -> m Module # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Module -> m Module # | |
| Data OccName | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> OccName -> c OccName # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c OccName # toConstr :: OccName -> Constr # dataTypeOf :: OccName -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c OccName) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c OccName) # gmapT :: (forall b. Data b => b -> b) -> OccName -> OccName # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> OccName -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> OccName -> r # gmapQ :: (forall d. Data d => d -> u) -> OccName -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> OccName -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> OccName -> m OccName # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> OccName -> m OccName # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> OccName -> m OccName # | |
| Data NameFlavour | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> NameFlavour -> c NameFlavour # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c NameFlavour # toConstr :: NameFlavour -> Constr # dataTypeOf :: NameFlavour -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c NameFlavour) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c NameFlavour) # gmapT :: (forall b. Data b => b -> b) -> NameFlavour -> NameFlavour # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> NameFlavour -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> NameFlavour -> r # gmapQ :: (forall d. Data d => d -> u) -> NameFlavour -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> NameFlavour -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> NameFlavour -> m NameFlavour # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> NameFlavour -> m NameFlavour # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> NameFlavour -> m NameFlavour # | |
| Data NameSpace | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> NameSpace -> c NameSpace # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c NameSpace # toConstr :: NameSpace -> Constr # dataTypeOf :: NameSpace -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c NameSpace) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c NameSpace) # gmapT :: (forall b. Data b => b -> b) -> NameSpace -> NameSpace # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> NameSpace -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> NameSpace -> r # gmapQ :: (forall d. Data d => d -> u) -> NameSpace -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> NameSpace -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> NameSpace -> m NameSpace # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> NameSpace -> m NameSpace # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> NameSpace -> m NameSpace # | |
| Data Loc | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Loc -> c Loc # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Loc # dataTypeOf :: Loc -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Loc) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Loc) # gmapT :: (forall b. Data b => b -> b) -> Loc -> Loc # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Loc -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Loc -> r # gmapQ :: (forall d. Data d => d -> u) -> Loc -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Loc -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Loc -> m Loc # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Loc -> m Loc # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Loc -> m Loc # | |
| Data Info | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Info -> c Info # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Info # dataTypeOf :: Info -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Info) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Info) # gmapT :: (forall b. Data b => b -> b) -> Info -> Info # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Info -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Info -> r # gmapQ :: (forall d. Data d => d -> u) -> Info -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Info -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Info -> m Info # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Info -> m Info # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Info -> m Info # | |
| Data ModuleInfo | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ModuleInfo -> c ModuleInfo # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ModuleInfo # toConstr :: ModuleInfo -> Constr # dataTypeOf :: ModuleInfo -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ModuleInfo) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ModuleInfo) # gmapT :: (forall b. Data b => b -> b) -> ModuleInfo -> ModuleInfo # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ModuleInfo -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ModuleInfo -> r # gmapQ :: (forall d. Data d => d -> u) -> ModuleInfo -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ModuleInfo -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ModuleInfo -> m ModuleInfo # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ModuleInfo -> m ModuleInfo # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ModuleInfo -> m ModuleInfo # | |
| Data Fixity | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Fixity -> c Fixity # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Fixity # toConstr :: Fixity -> Constr # dataTypeOf :: Fixity -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Fixity) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Fixity) # gmapT :: (forall b. Data b => b -> b) -> Fixity -> Fixity # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Fixity -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Fixity -> r # gmapQ :: (forall d. Data d => d -> u) -> Fixity -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Fixity -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Fixity -> m Fixity # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Fixity -> m Fixity # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Fixity -> m Fixity # | |
| Data FixityDirection | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> FixityDirection -> c FixityDirection # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c FixityDirection # toConstr :: FixityDirection -> Constr # dataTypeOf :: FixityDirection -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c FixityDirection) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c FixityDirection) # gmapT :: (forall b. Data b => b -> b) -> FixityDirection -> FixityDirection # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> FixityDirection -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> FixityDirection -> r # gmapQ :: (forall d. Data d => d -> u) -> FixityDirection -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> FixityDirection -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> FixityDirection -> m FixityDirection # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> FixityDirection -> m FixityDirection # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> FixityDirection -> m FixityDirection # | |
| Data Lit | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Lit -> c Lit # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Lit # dataTypeOf :: Lit -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Lit) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Lit) # gmapT :: (forall b. Data b => b -> b) -> Lit -> Lit # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Lit -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Lit -> r # gmapQ :: (forall d. Data d => d -> u) -> Lit -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Lit -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Lit -> m Lit # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Lit -> m Lit # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Lit -> m Lit # | |
| Data Body | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Body -> c Body # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Body # dataTypeOf :: Body -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Body) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Body) # gmapT :: (forall b. Data b => b -> b) -> Body -> Body # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Body -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Body -> r # gmapQ :: (forall d. Data d => d -> u) -> Body -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Body -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Body -> m Body # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Body -> m Body # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Body -> m Body # | |
| Data Guard | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Guard -> c Guard # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Guard # dataTypeOf :: Guard -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Guard) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Guard) # gmapT :: (forall b. Data b => b -> b) -> Guard -> Guard # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Guard -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Guard -> r # gmapQ :: (forall d. Data d => d -> u) -> Guard -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Guard -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Guard -> m Guard # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Guard -> m Guard # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Guard -> m Guard # | |
| Data Stmt | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Stmt -> c Stmt # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Stmt # dataTypeOf :: Stmt -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Stmt) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Stmt) # gmapT :: (forall b. Data b => b -> b) -> Stmt -> Stmt # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Stmt -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Stmt -> r # gmapQ :: (forall d. Data d => d -> u) -> Stmt -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Stmt -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Stmt -> m Stmt # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Stmt -> m Stmt # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Stmt -> m Stmt # | |
| Data Range | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Range -> c Range # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Range # dataTypeOf :: Range -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Range) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Range) # gmapT :: (forall b. Data b => b -> b) -> Range -> Range # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Range -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Range -> r # gmapQ :: (forall d. Data d => d -> u) -> Range -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Range -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Range -> m Range # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Range -> m Range # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Range -> m Range # | |
| Data DerivClause | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> DerivClause -> c DerivClause # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c DerivClause # toConstr :: DerivClause -> Constr # dataTypeOf :: DerivClause -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c DerivClause) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c DerivClause) # gmapT :: (forall b. Data b => b -> b) -> DerivClause -> DerivClause # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> DerivClause -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> DerivClause -> r # gmapQ :: (forall d. Data d => d -> u) -> DerivClause -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> DerivClause -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> DerivClause -> m DerivClause # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> DerivClause -> m DerivClause # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> DerivClause -> m DerivClause # | |
| Data DerivStrategy | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> DerivStrategy -> c DerivStrategy # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c DerivStrategy # toConstr :: DerivStrategy -> Constr # dataTypeOf :: DerivStrategy -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c DerivStrategy) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c DerivStrategy) # gmapT :: (forall b. Data b => b -> b) -> DerivStrategy -> DerivStrategy # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> DerivStrategy -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> DerivStrategy -> r # gmapQ :: (forall d. Data d => d -> u) -> DerivStrategy -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> DerivStrategy -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> DerivStrategy -> m DerivStrategy # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> DerivStrategy -> m DerivStrategy # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> DerivStrategy -> m DerivStrategy # | |
| Data TypeFamilyHead | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> TypeFamilyHead -> c TypeFamilyHead # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c TypeFamilyHead # toConstr :: TypeFamilyHead -> Constr # dataTypeOf :: TypeFamilyHead -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c TypeFamilyHead) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c TypeFamilyHead) # gmapT :: (forall b. Data b => b -> b) -> TypeFamilyHead -> TypeFamilyHead # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> TypeFamilyHead -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> TypeFamilyHead -> r # gmapQ :: (forall d. Data d => d -> u) -> TypeFamilyHead -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> TypeFamilyHead -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> TypeFamilyHead -> m TypeFamilyHead # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> TypeFamilyHead -> m TypeFamilyHead # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> TypeFamilyHead -> m TypeFamilyHead # | |
| Data TySynEqn | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> TySynEqn -> c TySynEqn # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c TySynEqn # toConstr :: TySynEqn -> Constr # dataTypeOf :: TySynEqn -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c TySynEqn) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c TySynEqn) # gmapT :: (forall b. Data b => b -> b) -> TySynEqn -> TySynEqn # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> TySynEqn -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> TySynEqn -> r # gmapQ :: (forall d. Data d => d -> u) -> TySynEqn -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> TySynEqn -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> TySynEqn -> m TySynEqn # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> TySynEqn -> m TySynEqn # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> TySynEqn -> m TySynEqn # | |
| Data Foreign | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Foreign -> c Foreign # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Foreign # toConstr :: Foreign -> Constr # dataTypeOf :: Foreign -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Foreign) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Foreign) # gmapT :: (forall b. Data b => b -> b) -> Foreign -> Foreign # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Foreign -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Foreign -> r # gmapQ :: (forall d. Data d => d -> u) -> Foreign -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Foreign -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Foreign -> m Foreign # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Foreign -> m Foreign # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Foreign -> m Foreign # | |
| Data Callconv | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Callconv -> c Callconv # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Callconv # toConstr :: Callconv -> Constr # dataTypeOf :: Callconv -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Callconv) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Callconv) # gmapT :: (forall b. Data b => b -> b) -> Callconv -> Callconv # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Callconv -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Callconv -> r # gmapQ :: (forall d. Data d => d -> u) -> Callconv -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Callconv -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Callconv -> m Callconv # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Callconv -> m Callconv # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Callconv -> m Callconv # | |
| Data Safety | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Safety -> c Safety # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Safety # toConstr :: Safety -> Constr # dataTypeOf :: Safety -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Safety) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Safety) # gmapT :: (forall b. Data b => b -> b) -> Safety -> Safety # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Safety -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Safety -> r # gmapQ :: (forall d. Data d => d -> u) -> Safety -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Safety -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Safety -> m Safety # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Safety -> m Safety # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Safety -> m Safety # | |
| Data Pragma | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Pragma -> c Pragma # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Pragma # toConstr :: Pragma -> Constr # dataTypeOf :: Pragma -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Pragma) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Pragma) # gmapT :: (forall b. Data b => b -> b) -> Pragma -> Pragma # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Pragma -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Pragma -> r # gmapQ :: (forall d. Data d => d -> u) -> Pragma -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Pragma -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Pragma -> m Pragma # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Pragma -> m Pragma # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Pragma -> m Pragma # | |
| Data Inline | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Inline -> c Inline # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Inline # toConstr :: Inline -> Constr # dataTypeOf :: Inline -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Inline) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Inline) # gmapT :: (forall b. Data b => b -> b) -> Inline -> Inline # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Inline -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Inline -> r # gmapQ :: (forall d. Data d => d -> u) -> Inline -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Inline -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Inline -> m Inline # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Inline -> m Inline # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Inline -> m Inline # | |
| Data RuleMatch | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> RuleMatch -> c RuleMatch # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c RuleMatch # toConstr :: RuleMatch -> Constr # dataTypeOf :: RuleMatch -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c RuleMatch) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c RuleMatch) # gmapT :: (forall b. Data b => b -> b) -> RuleMatch -> RuleMatch # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> RuleMatch -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> RuleMatch -> r # gmapQ :: (forall d. Data d => d -> u) -> RuleMatch -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> RuleMatch -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> RuleMatch -> m RuleMatch # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> RuleMatch -> m RuleMatch # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> RuleMatch -> m RuleMatch # | |
| Data Phases | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Phases -> c Phases # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Phases # toConstr :: Phases -> Constr # dataTypeOf :: Phases -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Phases) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Phases) # gmapT :: (forall b. Data b => b -> b) -> Phases -> Phases # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Phases -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Phases -> r # gmapQ :: (forall d. Data d => d -> u) -> Phases -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Phases -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Phases -> m Phases # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Phases -> m Phases # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Phases -> m Phases # | |
| Data RuleBndr | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> RuleBndr -> c RuleBndr # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c RuleBndr # toConstr :: RuleBndr -> Constr # dataTypeOf :: RuleBndr -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c RuleBndr) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c RuleBndr) # gmapT :: (forall b. Data b => b -> b) -> RuleBndr -> RuleBndr # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> RuleBndr -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> RuleBndr -> r # gmapQ :: (forall d. Data d => d -> u) -> RuleBndr -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> RuleBndr -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> RuleBndr -> m RuleBndr # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> RuleBndr -> m RuleBndr # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> RuleBndr -> m RuleBndr # | |
| Data AnnTarget | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> AnnTarget -> c AnnTarget # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c AnnTarget # toConstr :: AnnTarget -> Constr # dataTypeOf :: AnnTarget -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c AnnTarget) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c AnnTarget) # gmapT :: (forall b. Data b => b -> b) -> AnnTarget -> AnnTarget # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> AnnTarget -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> AnnTarget -> r # gmapQ :: (forall d. Data d => d -> u) -> AnnTarget -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> AnnTarget -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> AnnTarget -> m AnnTarget # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> AnnTarget -> m AnnTarget # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> AnnTarget -> m AnnTarget # | |
| Data SourceUnpackedness | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SourceUnpackedness -> c SourceUnpackedness # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c SourceUnpackedness # toConstr :: SourceUnpackedness -> Constr # dataTypeOf :: SourceUnpackedness -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c SourceUnpackedness) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c SourceUnpackedness) # gmapT :: (forall b. Data b => b -> b) -> SourceUnpackedness -> SourceUnpackedness # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SourceUnpackedness -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SourceUnpackedness -> r # gmapQ :: (forall d. Data d => d -> u) -> SourceUnpackedness -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> SourceUnpackedness -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> SourceUnpackedness -> m SourceUnpackedness # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SourceUnpackedness -> m SourceUnpackedness # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SourceUnpackedness -> m SourceUnpackedness # | |
| Data SourceStrictness | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SourceStrictness -> c SourceStrictness # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c SourceStrictness # toConstr :: SourceStrictness -> Constr # dataTypeOf :: SourceStrictness -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c SourceStrictness) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c SourceStrictness) # gmapT :: (forall b. Data b => b -> b) -> SourceStrictness -> SourceStrictness # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SourceStrictness -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SourceStrictness -> r # gmapQ :: (forall d. Data d => d -> u) -> SourceStrictness -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> SourceStrictness -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> SourceStrictness -> m SourceStrictness # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SourceStrictness -> m SourceStrictness # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SourceStrictness -> m SourceStrictness # | |
| Data DecidedStrictness | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> DecidedStrictness -> c DecidedStrictness # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c DecidedStrictness # toConstr :: DecidedStrictness -> Constr # dataTypeOf :: DecidedStrictness -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c DecidedStrictness) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c DecidedStrictness) # gmapT :: (forall b. Data b => b -> b) -> DecidedStrictness -> DecidedStrictness # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> DecidedStrictness -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> DecidedStrictness -> r # gmapQ :: (forall d. Data d => d -> u) -> DecidedStrictness -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> DecidedStrictness -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> DecidedStrictness -> m DecidedStrictness # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> DecidedStrictness -> m DecidedStrictness # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> DecidedStrictness -> m DecidedStrictness # | |
| Data Bang | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Bang -> c Bang # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Bang # dataTypeOf :: Bang -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Bang) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Bang) # gmapT :: (forall b. Data b => b -> b) -> Bang -> Bang # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Bang -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Bang -> r # gmapQ :: (forall d. Data d => d -> u) -> Bang -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Bang -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Bang -> m Bang # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Bang -> m Bang # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Bang -> m Bang # | |
| Data PatSynDir | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> PatSynDir -> c PatSynDir # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c PatSynDir # toConstr :: PatSynDir -> Constr # dataTypeOf :: PatSynDir -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c PatSynDir) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c PatSynDir) # gmapT :: (forall b. Data b => b -> b) -> PatSynDir -> PatSynDir # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> PatSynDir -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> PatSynDir -> r # gmapQ :: (forall d. Data d => d -> u) -> PatSynDir -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> PatSynDir -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> PatSynDir -> m PatSynDir # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> PatSynDir -> m PatSynDir # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> PatSynDir -> m PatSynDir # | |
| Data PatSynArgs | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> PatSynArgs -> c PatSynArgs # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c PatSynArgs # toConstr :: PatSynArgs -> Constr # dataTypeOf :: PatSynArgs -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c PatSynArgs) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c PatSynArgs) # gmapT :: (forall b. Data b => b -> b) -> PatSynArgs -> PatSynArgs # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> PatSynArgs -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> PatSynArgs -> r # gmapQ :: (forall d. Data d => d -> u) -> PatSynArgs -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> PatSynArgs -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> PatSynArgs -> m PatSynArgs # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> PatSynArgs -> m PatSynArgs # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> PatSynArgs -> m PatSynArgs # | |
| Data FamilyResultSig | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> FamilyResultSig -> c FamilyResultSig # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c FamilyResultSig # toConstr :: FamilyResultSig -> Constr # dataTypeOf :: FamilyResultSig -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c FamilyResultSig) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c FamilyResultSig) # gmapT :: (forall b. Data b => b -> b) -> FamilyResultSig -> FamilyResultSig # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> FamilyResultSig -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> FamilyResultSig -> r # gmapQ :: (forall d. Data d => d -> u) -> FamilyResultSig -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> FamilyResultSig -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> FamilyResultSig -> m FamilyResultSig # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> FamilyResultSig -> m FamilyResultSig # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> FamilyResultSig -> m FamilyResultSig # | |
| Data TyLit | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> TyLit -> c TyLit # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c TyLit # dataTypeOf :: TyLit -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c TyLit) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c TyLit) # gmapT :: (forall b. Data b => b -> b) -> TyLit -> TyLit # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> TyLit -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> TyLit -> r # gmapQ :: (forall d. Data d => d -> u) -> TyLit -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> TyLit -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> TyLit -> m TyLit # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> TyLit -> m TyLit # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> TyLit -> m TyLit # | |
| Data Role | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Role -> c Role # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Role # dataTypeOf :: Role -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Role) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Role) # gmapT :: (forall b. Data b => b -> b) -> Role -> Role # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Role -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Role -> r # gmapQ :: (forall d. Data d => d -> u) -> Role -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Role -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Role -> m Role # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Role -> m Role # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Role -> m Role # | |
| Data AnnLookup | |
Defined in Language.Haskell.TH.Syntax Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> AnnLookup -> c AnnLookup # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c AnnLookup # toConstr :: AnnLookup -> Constr # dataTypeOf :: AnnLookup -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c AnnLookup) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c AnnLookup) # gmapT :: (forall b. Data b => b -> b) -> AnnLookup -> AnnLookup # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> AnnLookup -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> AnnLookup -> r # gmapQ :: (forall d. Data d => d -> u) -> AnnLookup -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> AnnLookup -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> AnnLookup -> m AnnLookup # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> AnnLookup -> m AnnLookup # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> AnnLookup -> m AnnLookup # | |
| Data ZonedTime | |
Defined in Data.Time.LocalTime.Internal.ZonedTime Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ZonedTime -> c ZonedTime # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ZonedTime # toConstr :: ZonedTime -> Constr # dataTypeOf :: ZonedTime -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ZonedTime) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ZonedTime) # gmapT :: (forall b. Data b => b -> b) -> ZonedTime -> ZonedTime # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ZonedTime -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ZonedTime -> r # gmapQ :: (forall d. Data d => d -> u) -> ZonedTime -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ZonedTime -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ZonedTime -> m ZonedTime # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ZonedTime -> m ZonedTime # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ZonedTime -> m ZonedTime # | |
| Data LocalTime | |
Defined in Data.Time.LocalTime.Internal.LocalTime Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> LocalTime -> c LocalTime # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c LocalTime # toConstr :: LocalTime -> Constr # dataTypeOf :: LocalTime -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c LocalTime) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c LocalTime) # gmapT :: (forall b. Data b => b -> b) -> LocalTime -> LocalTime # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> LocalTime -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> LocalTime -> r # gmapQ :: (forall d. Data d => d -> u) -> LocalTime -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> LocalTime -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> LocalTime -> m LocalTime # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> LocalTime -> m LocalTime # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> LocalTime -> m LocalTime # | |
| Data GUI Source # | |
Defined in Prelude.Spiros.GUI Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> GUI -> c GUI # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c GUI # dataTypeOf :: GUI -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c GUI) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c GUI) # gmapT :: (forall b. Data b => b -> b) -> GUI -> GUI # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> GUI -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> GUI -> r # gmapQ :: (forall d. Data d => d -> u) -> GUI -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> GUI -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> GUI -> m GUI # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> GUI -> m GUI # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> GUI -> m GUI # | |
| Data Digit Source # | |
Defined in Data.Digit Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Digit -> c Digit # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Digit # dataTypeOf :: Digit -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Digit) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Digit) # gmapT :: (forall b. Data b => b -> b) -> Digit -> Digit # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Digit -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Digit -> r # gmapQ :: (forall d. Data d => d -> u) -> Digit -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Digit -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Digit -> m Digit # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Digit -> m Digit # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Digit -> m Digit # | |
| Data a => Data [a] | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> [a] -> c [a] # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c [a] # dataTypeOf :: [a] -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c [a]) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c [a]) # gmapT :: (forall b. Data b => b -> b) -> [a] -> [a] # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> [a] -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> [a] -> r # gmapQ :: (forall d. Data d => d -> u) -> [a] -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> [a] -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> [a] -> m [a] # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> [a] -> m [a] # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> [a] -> m [a] # | |
| Data a => Data (Maybe a) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Maybe a -> c (Maybe a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Maybe a) # toConstr :: Maybe a -> Constr # dataTypeOf :: Maybe a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Maybe a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Maybe a)) # gmapT :: (forall b. Data b => b -> b) -> Maybe a -> Maybe a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Maybe a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Maybe a -> r # gmapQ :: (forall d. Data d => d -> u) -> Maybe a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Maybe a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Maybe a -> m (Maybe a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Maybe a -> m (Maybe a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Maybe a -> m (Maybe a) # | |
| (Data a, Integral a) => Data (Ratio a) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ratio a -> c (Ratio a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Ratio a) # toConstr :: Ratio a -> Constr # dataTypeOf :: Ratio a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Ratio a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Ratio a)) # gmapT :: (forall b. Data b => b -> b) -> Ratio a -> Ratio a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ratio a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ratio a -> r # gmapQ :: (forall d. Data d => d -> u) -> Ratio a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Ratio a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ratio a -> m (Ratio a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ratio a -> m (Ratio a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ratio a -> m (Ratio a) # | |
| Data a => Data (Ptr a) | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ptr a -> c (Ptr a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Ptr a) # dataTypeOf :: Ptr a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Ptr a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Ptr a)) # gmapT :: (forall b. Data b => b -> b) -> Ptr a -> Ptr a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ptr a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ptr a -> r # gmapQ :: (forall d. Data d => d -> u) -> Ptr a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Ptr a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ptr a -> m (Ptr a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ptr a -> m (Ptr a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ptr a -> m (Ptr a) # | |
| Data p => Data (Par1 p) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Par1 p -> c (Par1 p) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Par1 p) # toConstr :: Par1 p -> Constr # dataTypeOf :: Par1 p -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Par1 p)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Par1 p)) # gmapT :: (forall b. Data b => b -> b) -> Par1 p -> Par1 p # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Par1 p -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Par1 p -> r # gmapQ :: (forall d. Data d => d -> u) -> Par1 p -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Par1 p -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Par1 p -> m (Par1 p) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Par1 p -> m (Par1 p) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Par1 p -> m (Par1 p) # | |
| Data a => Data (ForeignPtr a) | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ForeignPtr a -> c (ForeignPtr a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (ForeignPtr a) # toConstr :: ForeignPtr a -> Constr # dataTypeOf :: ForeignPtr a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (ForeignPtr a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (ForeignPtr a)) # gmapT :: (forall b. Data b => b -> b) -> ForeignPtr a -> ForeignPtr a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ForeignPtr a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ForeignPtr a -> r # gmapQ :: (forall d. Data d => d -> u) -> ForeignPtr a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ForeignPtr a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ForeignPtr a -> m (ForeignPtr a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ForeignPtr a -> m (ForeignPtr a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ForeignPtr a -> m (ForeignPtr a) # | |
| Data a => Data (Complex a) | Since: base-2.1 |
Defined in Data.Complex Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Complex a -> c (Complex a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Complex a) # toConstr :: Complex a -> Constr # dataTypeOf :: Complex a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Complex a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Complex a)) # gmapT :: (forall b. Data b => b -> b) -> Complex a -> Complex a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Complex a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Complex a -> r # gmapQ :: (forall d. Data d => d -> u) -> Complex a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Complex a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Complex a -> m (Complex a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Complex a -> m (Complex a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Complex a -> m (Complex a) # | |
| Typeable a => Data (Fixed a) | Since: base-4.1.0.0 |
Defined in Data.Fixed Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Fixed a -> c (Fixed a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Fixed a) # toConstr :: Fixed a -> Constr # dataTypeOf :: Fixed a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Fixed a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Fixed a)) # gmapT :: (forall b. Data b => b -> b) -> Fixed a -> Fixed a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Fixed a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Fixed a -> r # gmapQ :: (forall d. Data d => d -> u) -> Fixed a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Fixed a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Fixed a -> m (Fixed a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Fixed a -> m (Fixed a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Fixed a -> m (Fixed a) # | |
| Data a => Data (Min a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Min a -> c (Min a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Min a) # dataTypeOf :: Min a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Min a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Min a)) # gmapT :: (forall b. Data b => b -> b) -> Min a -> Min a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Min a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Min a -> r # gmapQ :: (forall d. Data d => d -> u) -> Min a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Min a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Min a -> m (Min a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Min a -> m (Min a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Min a -> m (Min a) # | |
| Data a => Data (Max a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Max a -> c (Max a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Max a) # dataTypeOf :: Max a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Max a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Max a)) # gmapT :: (forall b. Data b => b -> b) -> Max a -> Max a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Max a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Max a -> r # gmapQ :: (forall d. Data d => d -> u) -> Max a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Max a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Max a -> m (Max a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Max a -> m (Max a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Max a -> m (Max a) # | |
| Data a => Data (First a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> First a -> c (First a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (First a) # toConstr :: First a -> Constr # dataTypeOf :: First a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (First a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (First a)) # gmapT :: (forall b. Data b => b -> b) -> First a -> First a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> First a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> First a -> r # gmapQ :: (forall d. Data d => d -> u) -> First a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> First a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> First a -> m (First a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> First a -> m (First a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> First a -> m (First a) # | |
| Data a => Data (Last a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Last a -> c (Last a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Last a) # toConstr :: Last a -> Constr # dataTypeOf :: Last a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Last a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Last a)) # gmapT :: (forall b. Data b => b -> b) -> Last a -> Last a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Last a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Last a -> r # gmapQ :: (forall d. Data d => d -> u) -> Last a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Last a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Last a -> m (Last a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Last a -> m (Last a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Last a -> m (Last a) # | |
| Data m => Data (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> WrappedMonoid m -> c (WrappedMonoid m) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (WrappedMonoid m) # toConstr :: WrappedMonoid m -> Constr # dataTypeOf :: WrappedMonoid m -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (WrappedMonoid m)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (WrappedMonoid m)) # gmapT :: (forall b. Data b => b -> b) -> WrappedMonoid m -> WrappedMonoid m # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> WrappedMonoid m -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> WrappedMonoid m -> r # gmapQ :: (forall d. Data d => d -> u) -> WrappedMonoid m -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> WrappedMonoid m -> u # gmapM :: Monad m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m) # gmapMp :: MonadPlus m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m) # gmapMo :: MonadPlus m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m) # | |
| Data a => Data (Option a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Option a -> c (Option a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Option a) # toConstr :: Option a -> Constr # dataTypeOf :: Option a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Option a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Option a)) # gmapT :: (forall b. Data b => b -> b) -> Option a -> Option a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Option a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Option a -> r # gmapQ :: (forall d. Data d => d -> u) -> Option a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Option a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Option a -> m (Option a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Option a -> m (Option a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Option a -> m (Option a) # | |
| Data a => Data (Identity a) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Identity a -> c (Identity a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Identity a) # toConstr :: Identity a -> Constr # dataTypeOf :: Identity a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Identity a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Identity a)) # gmapT :: (forall b. Data b => b -> b) -> Identity a -> Identity a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Identity a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Identity a -> r # gmapQ :: (forall d. Data d => d -> u) -> Identity a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Identity a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Identity a -> m (Identity a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Identity a -> m (Identity a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Identity a -> m (Identity a) # | |
| Data a => Data (First a) | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> First a -> c (First a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (First a) # toConstr :: First a -> Constr # dataTypeOf :: First a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (First a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (First a)) # gmapT :: (forall b. Data b => b -> b) -> First a -> First a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> First a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> First a -> r # gmapQ :: (forall d. Data d => d -> u) -> First a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> First a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> First a -> m (First a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> First a -> m (First a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> First a -> m (First a) # | |
| Data a => Data (Last a) | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Last a -> c (Last a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Last a) # toConstr :: Last a -> Constr # dataTypeOf :: Last a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Last a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Last a)) # gmapT :: (forall b. Data b => b -> b) -> Last a -> Last a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Last a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Last a -> r # gmapQ :: (forall d. Data d => d -> u) -> Last a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Last a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Last a -> m (Last a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Last a -> m (Last a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Last a -> m (Last a) # | |
| Data a => Data (Dual a) | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Dual a -> c (Dual a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Dual a) # toConstr :: Dual a -> Constr # dataTypeOf :: Dual a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Dual a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Dual a)) # gmapT :: (forall b. Data b => b -> b) -> Dual a -> Dual a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Dual a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Dual a -> r # gmapQ :: (forall d. Data d => d -> u) -> Dual a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Dual a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Dual a -> m (Dual a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Dual a -> m (Dual a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Dual a -> m (Dual a) # | |
| Data a => Data (Sum a) | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Sum a -> c (Sum a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Sum a) # dataTypeOf :: Sum a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Sum a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Sum a)) # gmapT :: (forall b. Data b => b -> b) -> Sum a -> Sum a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Sum a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Sum a -> r # gmapQ :: (forall d. Data d => d -> u) -> Sum a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Sum a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Sum a -> m (Sum a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum a -> m (Sum a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum a -> m (Sum a) # | |
| Data a => Data (Product a) | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Product a -> c (Product a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Product a) # toConstr :: Product a -> Constr # dataTypeOf :: Product a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Product a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Product a)) # gmapT :: (forall b. Data b => b -> b) -> Product a -> Product a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Product a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Product a -> r # gmapQ :: (forall d. Data d => d -> u) -> Product a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Product a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Product a -> m (Product a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Product a -> m (Product a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Product a -> m (Product a) # | |
| Data a => Data (Down a) | Since: base-4.12.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Down a -> c (Down a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Down a) # toConstr :: Down a -> Constr # dataTypeOf :: Down a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Down a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Down a)) # gmapT :: (forall b. Data b => b -> b) -> Down a -> Down a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Down a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Down a -> r # gmapQ :: (forall d. Data d => d -> u) -> Down a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Down a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) # | |
| Data a => Data (NonEmpty a) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> NonEmpty a -> c (NonEmpty a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (NonEmpty a) # toConstr :: NonEmpty a -> Constr # dataTypeOf :: NonEmpty a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (NonEmpty a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (NonEmpty a)) # gmapT :: (forall b. Data b => b -> b) -> NonEmpty a -> NonEmpty a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> NonEmpty a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> NonEmpty a -> r # gmapQ :: (forall d. Data d => d -> u) -> NonEmpty a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> NonEmpty a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> NonEmpty a -> m (NonEmpty a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> NonEmpty a -> m (NonEmpty a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> NonEmpty a -> m (NonEmpty a) # | |
| Data s => Data (CI s) | |
Defined in Data.CaseInsensitive.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> CI s -> c (CI s) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (CI s) # dataTypeOf :: CI s -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (CI s)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (CI s)) # gmapT :: (forall b. Data b => b -> b) -> CI s -> CI s # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CI s -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CI s -> r # gmapQ :: (forall d. Data d => d -> u) -> CI s -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> CI s -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> CI s -> m (CI s) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CI s -> m (CI s) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CI s -> m (CI s) # | |
| Data a => Data (IntMap a) | |
Defined in Data.IntMap.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntMap a -> c (IntMap a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (IntMap a) # toConstr :: IntMap a -> Constr # dataTypeOf :: IntMap a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (IntMap a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (IntMap a)) # gmapT :: (forall b. Data b => b -> b) -> IntMap a -> IntMap a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQ :: (forall d. Data d => d -> u) -> IntMap a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntMap a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # | |
| Data vertex => Data (SCC vertex) | Since: containers-0.5.9 |
Defined in Data.Graph Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SCC vertex -> c (SCC vertex) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (SCC vertex) # toConstr :: SCC vertex -> Constr # dataTypeOf :: SCC vertex -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (SCC vertex)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (SCC vertex)) # gmapT :: (forall b. Data b => b -> b) -> SCC vertex -> SCC vertex # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SCC vertex -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SCC vertex -> r # gmapQ :: (forall d. Data d => d -> u) -> SCC vertex -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> SCC vertex -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> SCC vertex -> m (SCC vertex) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SCC vertex -> m (SCC vertex) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SCC vertex -> m (SCC vertex) # | |
| Data a => Data (Tree a) | |
Defined in Data.Tree Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Tree a -> c (Tree a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Tree a) # toConstr :: Tree a -> Constr # dataTypeOf :: Tree a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Tree a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Tree a)) # gmapT :: (forall b. Data b => b -> b) -> Tree a -> Tree a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Tree a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Tree a -> r # gmapQ :: (forall d. Data d => d -> u) -> Tree a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Tree a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Tree a -> m (Tree a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Tree a -> m (Tree a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Tree a -> m (Tree a) # | |
| Data a => Data (Seq a) | |
Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Seq a -> c (Seq a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a) # dataTypeOf :: Seq a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a)) # gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # | |
| Data a => Data (ViewL a) | |
Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ViewL a -> c (ViewL a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (ViewL a) # toConstr :: ViewL a -> Constr # dataTypeOf :: ViewL a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (ViewL a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (ViewL a)) # gmapT :: (forall b. Data b => b -> b) -> ViewL a -> ViewL a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ViewL a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ViewL a -> r # gmapQ :: (forall d. Data d => d -> u) -> ViewL a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ViewL a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ViewL a -> m (ViewL a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewL a -> m (ViewL a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewL a -> m (ViewL a) # | |
| Data a => Data (ViewR a) | |
Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ViewR a -> c (ViewR a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (ViewR a) # toConstr :: ViewR a -> Constr # dataTypeOf :: ViewR a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (ViewR a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (ViewR a)) # gmapT :: (forall b. Data b => b -> b) -> ViewR a -> ViewR a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ViewR a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ViewR a -> r # gmapQ :: (forall d. Data d => d -> u) -> ViewR a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ViewR a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ViewR a -> m (ViewR a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewR a -> m (ViewR a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewR a -> m (ViewR a) # | |
| (Data a, Ord a) => Data (Set a) | |
Defined in Data.Set.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Set a -> c (Set a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Set a) # dataTypeOf :: Set a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Set a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Set a)) # gmapT :: (forall b. Data b => b -> b) -> Set a -> Set a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQ :: (forall d. Data d => d -> u) -> Set a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Set a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # | |
| Data a => Data (Array a) | |
Defined in Data.Primitive.Array Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Array a -> c (Array a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Array a) # toConstr :: Array a -> Constr # dataTypeOf :: Array a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Array a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Array a)) # gmapT :: (forall b. Data b => b -> b) -> Array a -> Array a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Array a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Array a -> r # gmapQ :: (forall d. Data d => d -> u) -> Array a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Array a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Array a -> m (Array a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Array a -> m (Array a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Array a -> m (Array a) # | |
| (Data a, Data b) => Data (Either a b) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Either a b -> c (Either a b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Either a b) # toConstr :: Either a b -> Constr # dataTypeOf :: Either a b -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Either a b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Either a b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> Either a b -> Either a b # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Either a b -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Either a b -> r # gmapQ :: (forall d. Data d => d -> u) -> Either a b -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Either a b -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Either a b -> m (Either a b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Either a b -> m (Either a b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Either a b -> m (Either a b) # | |
| Data p => Data (V1 p) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V1 p -> c (V1 p) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V1 p) # dataTypeOf :: V1 p -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V1 p)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V1 p)) # gmapT :: (forall b. Data b => b -> b) -> V1 p -> V1 p # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V1 p -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V1 p -> r # gmapQ :: (forall d. Data d => d -> u) -> V1 p -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> V1 p -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) # | |
| Data p => Data (U1 p) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> U1 p -> c (U1 p) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (U1 p) # dataTypeOf :: U1 p -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (U1 p)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (U1 p)) # gmapT :: (forall b. Data b => b -> b) -> U1 p -> U1 p # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> U1 p -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> U1 p -> r # gmapQ :: (forall d. Data d => d -> u) -> U1 p -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> U1 p -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) # | |
| (Data a, Data b) => Data (a, b) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a, b) -> c (a, b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a, b) # toConstr :: (a, b) -> Constr # dataTypeOf :: (a, b) -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (a, b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (a, b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a, b) -> (a, b) # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a, b) -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a, b) -> r # gmapQ :: (forall d. Data d => d -> u) -> (a, b) -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> (a, b) -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a, b) -> m (a, b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a, b) -> m (a, b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a, b) -> m (a, b) # | |
| (Data a, Data b, Ix a) => Data (Array a b) | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Array a b -> c (Array a b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Array a b) # toConstr :: Array a b -> Constr # dataTypeOf :: Array a b -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Array a b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Array a b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> Array a b -> Array a b # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Array a b -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Array a b -> r # gmapQ :: (forall d. Data d => d -> u) -> Array a b -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Array a b -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Array a b -> m (Array a b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Array a b -> m (Array a b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Array a b -> m (Array a b) # | |
| (Data a, Data b) => Data (Arg a b) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Arg a b -> c (Arg a b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Arg a b) # toConstr :: Arg a b -> Constr # dataTypeOf :: Arg a b -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Arg a b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Arg a b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> Arg a b -> Arg a b # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Arg a b -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Arg a b -> r # gmapQ :: (forall d. Data d => d -> u) -> Arg a b -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Arg a b -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Arg a b -> m (Arg a b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Arg a b -> m (Arg a b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Arg a b -> m (Arg a b) # | |
| Data t => Data (Proxy t) | Since: base-4.7.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Proxy t -> c (Proxy t) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Proxy t) # toConstr :: Proxy t -> Constr # dataTypeOf :: Proxy t -> DataType # dataCast1 :: Typeable t0 => (forall d. Data d => c (t0 d)) -> Maybe (c (Proxy t)) # dataCast2 :: Typeable t0 => (forall d e. (Data d, Data e) => c (t0 d e)) -> Maybe (c (Proxy t)) # gmapT :: (forall b. Data b => b -> b) -> Proxy t -> Proxy t # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r # gmapQ :: (forall d. Data d => d -> u) -> Proxy t -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Proxy t -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) # | |
| (Data k, Data a, Ord k) => Data (Map k a) | |
Defined in Data.Map.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Map k a -> c (Map k a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Map k a) # toConstr :: Map k a -> Constr # dataTypeOf :: Map k a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Map k a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Map k a)) # gmapT :: (forall b. Data b => b -> b) -> Map k a -> Map k a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQ :: (forall d. Data d => d -> u) -> Map k a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Map k a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # | |
| (Typeable s, Typeable a) => Data (MutableArray s a) | |
Defined in Data.Primitive.Array Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> MutableArray s a -> c (MutableArray s a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (MutableArray s a) # toConstr :: MutableArray s a -> Constr # dataTypeOf :: MutableArray s a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (MutableArray s a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (MutableArray s a)) # gmapT :: (forall b. Data b => b -> b) -> MutableArray s a -> MutableArray s a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> MutableArray s a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> MutableArray s a -> r # gmapQ :: (forall d. Data d => d -> u) -> MutableArray s a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> MutableArray s a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> MutableArray s a -> m (MutableArray s a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> MutableArray s a -> m (MutableArray s a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> MutableArray s a -> m (MutableArray s a) # | |
| (Data (f p), Typeable f, Data p) => Data (Rec1 f p) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Rec1 f p -> c (Rec1 f p) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Rec1 f p) # toConstr :: Rec1 f p -> Constr # dataTypeOf :: Rec1 f p -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Rec1 f p)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Rec1 f p)) # gmapT :: (forall b. Data b => b -> b) -> Rec1 f p -> Rec1 f p # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Rec1 f p -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Rec1 f p -> r # gmapQ :: (forall d. Data d => d -> u) -> Rec1 f p -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Rec1 f p -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) # | |
| (Data a, Data b, Data c) => Data (a, b, c) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c0 (d -> b0) -> d -> c0 b0) -> (forall g. g -> c0 g) -> (a, b, c) -> c0 (a, b, c) # gunfold :: (forall b0 r. Data b0 => c0 (b0 -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (a, b, c) # toConstr :: (a, b, c) -> Constr # dataTypeOf :: (a, b, c) -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c0 (t d)) -> Maybe (c0 (a, b, c)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c0 (t d e)) -> Maybe (c0 (a, b, c)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a, b, c) -> (a, b, c) # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a, b, c) -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a, b, c) -> r # gmapQ :: (forall d. Data d => d -> u) -> (a, b, c) -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> (a, b, c) -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a, b, c) -> m (a, b, c) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a, b, c) -> m (a, b, c) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a, b, c) -> m (a, b, c) # | |
| (Typeable k, Data a, Typeable b) => Data (Const a b) | Since: base-4.10.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Const a b -> c (Const a b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Const a b) # toConstr :: Const a b -> Constr # dataTypeOf :: Const a b -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Const a b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Const a b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> Const a b -> Const a b # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Const a b -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Const a b -> r # gmapQ :: (forall d. Data d => d -> u) -> Const a b -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Const a b -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Const a b -> m (Const a b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Const a b -> m (Const a b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Const a b -> m (Const a b) # | |
| (Data (f a), Data a, Typeable f) => Data (Ap f a) | Since: base-4.12.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ap f a -> c (Ap f a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Ap f a) # toConstr :: Ap f a -> Constr # dataTypeOf :: Ap f a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Ap f a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Ap f a)) # gmapT :: (forall b. Data b => b -> b) -> Ap f a -> Ap f a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r # gmapQ :: (forall d. Data d => d -> u) -> Ap f a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Ap f a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) # | |
| (Data (f a), Data a, Typeable f) => Data (Alt f a) | Since: base-4.8.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Alt f a -> c (Alt f a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Alt f a) # toConstr :: Alt f a -> Constr # dataTypeOf :: Alt f a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Alt f a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Alt f a)) # gmapT :: (forall b. Data b => b -> b) -> Alt f a -> Alt f a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r # gmapQ :: (forall d. Data d => d -> u) -> Alt f a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Alt f a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) # | |
| (Coercible a b, Data a, Data b) => Data (Coercion a b) | Since: base-4.7.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Coercion a b -> c (Coercion a b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Coercion a b) # toConstr :: Coercion a b -> Constr # dataTypeOf :: Coercion a b -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Coercion a b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Coercion a b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> Coercion a b -> Coercion a b # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Coercion a b -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Coercion a b -> r # gmapQ :: (forall d. Data d => d -> u) -> Coercion a b -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Coercion a b -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) # | |
| (a ~ b, Data a) => Data (a :~: b) | Since: base-4.7.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a :~: b) -> c (a :~: b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a :~: b) # toConstr :: (a :~: b) -> Constr # dataTypeOf :: (a :~: b) -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (a :~: b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (a :~: b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a :~: b) -> a :~: b # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r # gmapQ :: (forall d. Data d => d -> u) -> (a :~: b) -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> (a :~: b) -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) # | |
| (Typeable i, Data p, Data c) => Data (K1 i c p) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c0 (d -> b) -> d -> c0 b) -> (forall g. g -> c0 g) -> K1 i c p -> c0 (K1 i c p) # gunfold :: (forall b r. Data b => c0 (b -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (K1 i c p) # toConstr :: K1 i c p -> Constr # dataTypeOf :: K1 i c p -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c0 (t d)) -> Maybe (c0 (K1 i c p)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c0 (t d e)) -> Maybe (c0 (K1 i c p)) # gmapT :: (forall b. Data b => b -> b) -> K1 i c p -> K1 i c p # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> K1 i c p -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> K1 i c p -> r # gmapQ :: (forall d. Data d => d -> u) -> K1 i c p -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> K1 i c p -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) # | |
| (Typeable f, Typeable g, Data p, Data (f p), Data (g p)) => Data ((f :+: g) p) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :+: g) p -> c ((f :+: g) p) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :+: g) p) # toConstr :: (f :+: g) p -> Constr # dataTypeOf :: (f :+: g) p -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :+: g) p)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :+: g) p)) # gmapT :: (forall b. Data b => b -> b) -> (f :+: g) p -> (f :+: g) p # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :+: g) p -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :+: g) p -> r # gmapQ :: (forall d. Data d => d -> u) -> (f :+: g) p -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :+: g) p -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) # | |
| (Typeable f, Typeable g, Data p, Data (f p), Data (g p)) => Data ((f :*: g) p) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :*: g) p -> c ((f :*: g) p) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :*: g) p) # toConstr :: (f :*: g) p -> Constr # dataTypeOf :: (f :*: g) p -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :*: g) p)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :*: g) p)) # gmapT :: (forall b. Data b => b -> b) -> (f :*: g) p -> (f :*: g) p # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :*: g) p -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :*: g) p -> r # gmapQ :: (forall d. Data d => d -> u) -> (f :*: g) p -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :*: g) p -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) # | |
| (Data a, Data b, Data c, Data d) => Data (a, b, c, d) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d0 b0. Data d0 => c0 (d0 -> b0) -> d0 -> c0 b0) -> (forall g. g -> c0 g) -> (a, b, c, d) -> c0 (a, b, c, d) # gunfold :: (forall b0 r. Data b0 => c0 (b0 -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (a, b, c, d) # toConstr :: (a, b, c, d) -> Constr # dataTypeOf :: (a, b, c, d) -> DataType # dataCast1 :: Typeable t => (forall d0. Data d0 => c0 (t d0)) -> Maybe (c0 (a, b, c, d)) # dataCast2 :: Typeable t => (forall d0 e. (Data d0, Data e) => c0 (t d0 e)) -> Maybe (c0 (a, b, c, d)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a, b, c, d) -> (a, b, c, d) # gmapQl :: (r -> r' -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> (a, b, c, d) -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> (a, b, c, d) -> r # gmapQ :: (forall d0. Data d0 => d0 -> u) -> (a, b, c, d) -> [u] # gmapQi :: Int -> (forall d0. Data d0 => d0 -> u) -> (a, b, c, d) -> u # gmapM :: Monad m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d) -> m (a, b, c, d) # gmapMp :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d) -> m (a, b, c, d) # gmapMo :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d) -> m (a, b, c, d) # | |
| (Typeable a, Typeable f, Typeable g, Typeable k, Data (f a), Data (g a)) => Data (Product f g a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> Product f g a -> c (Product f g a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Product f g a) # toConstr :: Product f g a -> Constr # dataTypeOf :: Product f g a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Product f g a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Product f g a)) # gmapT :: (forall b. Data b => b -> b) -> Product f g a -> Product f g a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Product f g a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Product f g a -> r # gmapQ :: (forall d. Data d => d -> u) -> Product f g a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Product f g a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Product f g a -> m (Product f g a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Product f g a -> m (Product f g a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Product f g a -> m (Product f g a) # | |
| (Typeable a, Typeable f, Typeable g, Typeable k, Data (f a), Data (g a)) => Data (Sum f g a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> Sum f g a -> c (Sum f g a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Sum f g a) # toConstr :: Sum f g a -> Constr # dataTypeOf :: Sum f g a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Sum f g a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Sum f g a)) # gmapT :: (forall b. Data b => b -> b) -> Sum f g a -> Sum f g a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Sum f g a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Sum f g a -> r # gmapQ :: (forall d. Data d => d -> u) -> Sum f g a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Sum f g a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Sum f g a -> m (Sum f g a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum f g a -> m (Sum f g a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum f g a -> m (Sum f g a) # | |
| (Typeable i, Typeable j, Typeable a, Typeable b, a ~~ b) => Data (a :~~: b) | Since: base-4.10.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a :~~: b) -> c (a :~~: b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a :~~: b) # toConstr :: (a :~~: b) -> Constr # dataTypeOf :: (a :~~: b) -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (a :~~: b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (a :~~: b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a :~~: b) -> a :~~: b # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a :~~: b) -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a :~~: b) -> r # gmapQ :: (forall d. Data d => d -> u) -> (a :~~: b) -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> (a :~~: b) -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a :~~: b) -> m (a :~~: b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~~: b) -> m (a :~~: b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~~: b) -> m (a :~~: b) # | |
| (Data p, Data (f p), Typeable c, Typeable i, Typeable f) => Data (M1 i c f p) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c0 (d -> b) -> d -> c0 b) -> (forall g. g -> c0 g) -> M1 i c f p -> c0 (M1 i c f p) # gunfold :: (forall b r. Data b => c0 (b -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (M1 i c f p) # toConstr :: M1 i c f p -> Constr # dataTypeOf :: M1 i c f p -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c0 (t d)) -> Maybe (c0 (M1 i c f p)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c0 (t d e)) -> Maybe (c0 (M1 i c f p)) # gmapT :: (forall b. Data b => b -> b) -> M1 i c f p -> M1 i c f p # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> M1 i c f p -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> M1 i c f p -> r # gmapQ :: (forall d. Data d => d -> u) -> M1 i c f p -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> M1 i c f p -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) # | |
| (Typeable f, Typeable g, Data p, Data (f (g p))) => Data ((f :.: g) p) | Since: base-4.9.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :.: g) p -> c ((f :.: g) p) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :.: g) p) # toConstr :: (f :.: g) p -> Constr # dataTypeOf :: (f :.: g) p -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :.: g) p)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :.: g) p)) # gmapT :: (forall b. Data b => b -> b) -> (f :.: g) p -> (f :.: g) p # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :.: g) p -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :.: g) p -> r # gmapQ :: (forall d. Data d => d -> u) -> (f :.: g) p -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :.: g) p -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) # | |
| (Data a, Data b, Data c, Data d, Data e) => Data (a, b, c, d, e) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d0 b0. Data d0 => c0 (d0 -> b0) -> d0 -> c0 b0) -> (forall g. g -> c0 g) -> (a, b, c, d, e) -> c0 (a, b, c, d, e) # gunfold :: (forall b0 r. Data b0 => c0 (b0 -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (a, b, c, d, e) # toConstr :: (a, b, c, d, e) -> Constr # dataTypeOf :: (a, b, c, d, e) -> DataType # dataCast1 :: Typeable t => (forall d0. Data d0 => c0 (t d0)) -> Maybe (c0 (a, b, c, d, e)) # dataCast2 :: Typeable t => (forall d0 e0. (Data d0, Data e0) => c0 (t d0 e0)) -> Maybe (c0 (a, b, c, d, e)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a, b, c, d, e) -> (a, b, c, d, e) # gmapQl :: (r -> r' -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> (a, b, c, d, e) -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> (a, b, c, d, e) -> r # gmapQ :: (forall d0. Data d0 => d0 -> u) -> (a, b, c, d, e) -> [u] # gmapQi :: Int -> (forall d0. Data d0 => d0 -> u) -> (a, b, c, d, e) -> u # gmapM :: Monad m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d, e) -> m (a, b, c, d, e) # gmapMp :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d, e) -> m (a, b, c, d, e) # gmapMo :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d, e) -> m (a, b, c, d, e) # | |
| (Typeable a, Typeable f, Typeable g, Typeable k1, Typeable k2, Data (f (g a))) => Data (Compose f g a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> Compose f g a -> c (Compose f g a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Compose f g a) # toConstr :: Compose f g a -> Constr # dataTypeOf :: Compose f g a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Compose f g a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Compose f g a)) # gmapT :: (forall b. Data b => b -> b) -> Compose f g a -> Compose f g a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Compose f g a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Compose f g a -> r # gmapQ :: (forall d. Data d => d -> u) -> Compose f g a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Compose f g a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a) # | |
| (Data a, Data b, Data c, Data d, Data e, Data f) => Data (a, b, c, d, e, f) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d0 b0. Data d0 => c0 (d0 -> b0) -> d0 -> c0 b0) -> (forall g. g -> c0 g) -> (a, b, c, d, e, f) -> c0 (a, b, c, d, e, f) # gunfold :: (forall b0 r. Data b0 => c0 (b0 -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (a, b, c, d, e, f) # toConstr :: (a, b, c, d, e, f) -> Constr # dataTypeOf :: (a, b, c, d, e, f) -> DataType # dataCast1 :: Typeable t => (forall d0. Data d0 => c0 (t d0)) -> Maybe (c0 (a, b, c, d, e, f)) # dataCast2 :: Typeable t => (forall d0 e0. (Data d0, Data e0) => c0 (t d0 e0)) -> Maybe (c0 (a, b, c, d, e, f)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) # gmapQl :: (r -> r' -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> (a, b, c, d, e, f) -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> (a, b, c, d, e, f) -> r # gmapQ :: (forall d0. Data d0 => d0 -> u) -> (a, b, c, d, e, f) -> [u] # gmapQi :: Int -> (forall d0. Data d0 => d0 -> u) -> (a, b, c, d, e, f) -> u # gmapM :: Monad m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d, e, f) -> m (a, b, c, d, e, f) # gmapMp :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d, e, f) -> m (a, b, c, d, e, f) # gmapMo :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d, e, f) -> m (a, b, c, d, e, f) # | |
| (Data a, Data b, Data c, Data d, Data e, Data f, Data g) => Data (a, b, c, d, e, f, g) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d0 b0. Data d0 => c0 (d0 -> b0) -> d0 -> c0 b0) -> (forall g0. g0 -> c0 g0) -> (a, b, c, d, e, f, g) -> c0 (a, b, c, d, e, f, g) # gunfold :: (forall b0 r. Data b0 => c0 (b0 -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (a, b, c, d, e, f, g) # toConstr :: (a, b, c, d, e, f, g) -> Constr # dataTypeOf :: (a, b, c, d, e, f, g) -> DataType # dataCast1 :: Typeable t => (forall d0. Data d0 => c0 (t d0)) -> Maybe (c0 (a, b, c, d, e, f, g)) # dataCast2 :: Typeable t => (forall d0 e0. (Data d0, Data e0) => c0 (t d0 e0)) -> Maybe (c0 (a, b, c, d, e, f, g)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) # gmapQl :: (r -> r' -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> (a, b, c, d, e, f, g) -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> (a, b, c, d, e, f, g) -> r # gmapQ :: (forall d0. Data d0 => d0 -> u) -> (a, b, c, d, e, f, g) -> [u] # gmapQi :: Int -> (forall d0. Data d0 => d0 -> u) -> (a, b, c, d, e, f, g) -> u # gmapM :: Monad m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d, e, f, g) -> m (a, b, c, d, e, f, g) # gmapMp :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d, e, f, g) -> m (a, b, c, d, e, f, g) # gmapMo :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> (a, b, c, d, e, f, g) -> m (a, b, c, d, e, f, g) # | |
class Functor (f :: Type -> Type) where #
The Functor class is used for types that can be mapped over.
Instances of Functor should satisfy the following laws:
fmap id == id fmap (f . g) == fmap f . fmap g
The instances of Functor for lists, Maybe and IO
satisfy these laws.
Minimal complete definition
Instances
| Functor [] | Since: base-2.1 |
| Functor Maybe | Since: base-2.1 |
| Functor IO | Since: base-2.1 |
| Functor Par1 | Since: base-4.9.0.0 |
| Functor Q | |
| Functor Complex | Since: base-4.9.0.0 |
| Functor Min | Since: base-4.9.0.0 |
| Functor Max | Since: base-4.9.0.0 |
| Functor First | Since: base-4.9.0.0 |
| Functor Last | Since: base-4.9.0.0 |
| Functor Option | Since: base-4.9.0.0 |
| Functor ZipList | Since: base-2.1 |
| Functor Identity | Since: base-4.8.0.0 |
| Functor Handler | Since: base-4.6.0.0 |
| Functor STM | Since: base-4.3.0.0 |
| Functor First | Since: base-4.8.0.0 |
| Functor Last | Since: base-4.8.0.0 |
| Functor Dual | Since: base-4.8.0.0 |
| Functor Sum | Since: base-4.8.0.0 |
| Functor Product | Since: base-4.8.0.0 |
| Functor Down | Since: base-4.11.0.0 |
| Functor ReadPrec | Since: base-2.1 |
| Functor ReadP | Since: base-2.1 |
| Functor NonEmpty | Since: base-4.9.0.0 |
| Functor Put | |
Defined in Data.ByteString.Builder.Internal | |
| Functor IntMap | |
| Functor SCC | Since: containers-0.5.4 |
| Functor Tree | |
| Functor Seq | |
| Functor FingerTree | |
Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> FingerTree a -> FingerTree b # (<$) :: a -> FingerTree b -> FingerTree a # | |
| Functor Digit | |
| Functor Node | |
| Functor Elem | |
| Functor ViewL | |
| Functor ViewR | |
| Functor Array | |
| Functor P | Since: base-4.8.0.0 |
Defined in Text.ParserCombinators.ReadP | |
| Functor Replace Source # | |
| Functor (Either a) | Since: base-3.0 |
| Functor (V1 :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Functor ((,) a) | Since: base-2.1 |
| Functor (Array i) | Since: base-2.1 |
| Functor (IResult i) | |
| Functor (Parser i) | |
| Functor (Arg a) | Since: base-4.9.0.0 |
| Monad m => Functor (WrappedMonad m) | Since: base-2.1 |
Defined in Control.Applicative Methods fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b # (<$) :: a -> WrappedMonad m b -> WrappedMonad m a # | |
| Arrow a => Functor (ArrowMonad a) | Since: base-4.6.0.0 |
Defined in Control.Arrow Methods fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b # (<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 # | |
| Functor (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Functor (Map k) | |
| Functor m => Functor (MaybeT m) | |
| Monad m => Functor (Handler m) | |
| Functor m => Functor (ListT m) | |
| Functor (SetM s) | |
Defined in Data.Graph | |
| Functor m => Functor (SimpleParserM m) Source # | |
Defined in Prelude.Spiros.Pretty Methods fmap :: (a -> b) -> SimpleParserM m a -> SimpleParserM m b # (<$) :: a -> SimpleParserM m b -> SimpleParserM m a # | |
| Functor f => Functor (Rec1 f) | Since: base-4.9.0.0 |
| Functor (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Int :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Word :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec (Ptr ()) :: Type -> Type) | Since: base-4.9.0.0 |
| Arrow a => Functor (WrappedArrow a b) | Since: base-2.1 |
Defined in Control.Applicative Methods fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # (<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 # | |
| Functor (Const m :: Type -> Type) | Since: base-2.1 |
| Functor f => Functor (Ap f) | Since: base-4.12.0.0 |
| Functor f => Functor (Alt f) | Since: base-4.8.0.0 |
| Functor m => Functor (IdentityT m) | |
| (Applicative f, Monad f) => Functor (WhenMissing f x) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b # (<$) :: a -> WhenMissing f x b -> WhenMissing f x a # | |
| Functor m => Functor (ExceptT e m) | |
| Functor m => Functor (ErrorT e m) | |
| Functor m => Functor (StateT s m) | |
| Functor m => Functor (StateT s m) | |
| Functor m => Functor (WriterT w m) | |
| Functor m => Functor (WriterT w m) | |
| Functor ((->) r :: Type -> Type) | Since: base-2.1 |
| Functor (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :+: g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :*: g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (Product f g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (Sum f g) | Since: base-4.9.0.0 |
| Functor f => Functor (WhenMatched f x y) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b # (<$) :: 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 |
Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b # (<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a # | |
| Functor (ContT r m) | |
| Functor m => Functor (ReaderT r m) | |
| Functor f => Functor (M1 i c f) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :.: g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (Compose f g) | Since: base-4.9.0.0 |
| Functor f => Functor (WhenMatched f k x y) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b # (<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a # | |
| Functor m => Functor (RWST r w s m) | |
| Functor m => Functor (RWST r w s m) | |
Basic numeric class.
The Haskell Report defines no laws for Num. However, '(+)' and '(*)' are
customarily expected to define a ring and have the following properties:
- Associativity of (+)
(x + y) + z=x + (y + z)- Commutativity of (+)
x + y=y + xfromInteger 0is the additive identityx + fromInteger 0=xnegategives the additive inversex + negate x=fromInteger 0- Associativity of (*)
(x * y) * z=x * (y * z)fromInteger 1is the multiplicative identityx * fromInteger 1=xandfromInteger 1 * x=x- Distributivity of (*) with respect to (+)
a * (b + c)=(a * b) + (a * c)and(b + c) * a=(b * a) + (c * a)
Note that it isn't customarily expected that a type instance of both Num
and Ord implement an ordered ring. Indeed, in base only Integer and
Rational do.
Methods
Unary negation.
Absolute value.
Sign of a number.
The functions abs and signum should satisfy the law:
abs x * signum x == x
For real numbers, the signum is either -1 (negative), 0 (zero)
or 1 (positive).
fromInteger :: Integer -> a #
Conversion from an Integer.
An integer literal represents the application of the function
fromInteger to the appropriate value of type Integer,
so such literals have type (.Num a) => a
Instances
The Ord class is used for totally ordered datatypes.
Instances of Ord can be derived for any user-defined datatype whose
constituent types are in Ord. The declared order of the constructors in
the data declaration determines the ordering in derived Ord instances. The
Ordering datatype allows a single comparison to determine the precise
ordering of two objects.
The Haskell Report defines no laws for Ord. However, <= is customarily
expected to implement a non-strict partial order and have the following
properties:
- Transitivity
- if
x <= y && y <= z=True, thenx <= z=True - Reflexivity
x <= x=True- Antisymmetry
- if
x <= y && y <= x=True, thenx == y=True
Note that the following operator interactions are expected to hold:
x >= y=y <= xx < y=x <= y && x /= yx > y=y < xx < y=compare x y == LTx > y=compare x y == GTx == y=compare x y == EQmin x y == if x <= y then x else y=Truemax x y == if x >= y then x else y=True
Minimal complete definition: either compare or <=.
Using compare can be more efficient for complex types.
Instances
Parsing of Strings, producing values.
Derived instances of Read make the following assumptions, which
derived instances of Show obey:
- If the constructor is defined to be an infix operator, then the
derived
Readinstance will parse only infix applications of the constructor (not the prefix form). - Associativity is not used to reduce the occurrence of parentheses, although precedence may be.
- If the constructor is defined using record syntax, the derived
Readwill parse only the record-syntax form, and furthermore, the fields must be given in the same order as the original declaration. - The derived
Readinstance allows arbitrary Haskell whitespace between tokens of the input string. Extra parentheses are also allowed.
For example, given the declarations
infixr 5 :^: data Tree a = Leaf a | Tree a :^: Tree a
the derived instance of Read in Haskell 2010 is equivalent to
instance (Read a) => Read (Tree a) where
readsPrec d r = readParen (d > app_prec)
(\r -> [(Leaf m,t) |
("Leaf",s) <- lex r,
(m,t) <- readsPrec (app_prec+1) s]) r
++ readParen (d > up_prec)
(\r -> [(u:^:v,w) |
(u,s) <- readsPrec (up_prec+1) r,
(":^:",t) <- lex s,
(v,w) <- readsPrec (up_prec+1) t]) r
where app_prec = 10
up_prec = 5Note that right-associativity of :^: is unused.
The derived instance in GHC is equivalent to
instance (Read a) => Read (Tree a) where
readPrec = parens $ (prec app_prec $ do
Ident "Leaf" <- lexP
m <- step readPrec
return (Leaf m))
+++ (prec up_prec $ do
u <- step readPrec
Symbol ":^:" <- lexP
v <- step readPrec
return (u :^: v))
where app_prec = 10
up_prec = 5
readListPrec = readListPrecDefaultWhy do both readsPrec and readPrec exist, and why does GHC opt to
implement readPrec in derived Read instances instead of readsPrec?
The reason is that readsPrec is based on the ReadS type, and although
ReadS is mentioned in the Haskell 2010 Report, it is not a very efficient
parser data structure.
readPrec, on the other hand, is based on a much more efficient ReadPrec
datatype (a.k.a "new-style parsers"), but its definition relies on the use
of the RankNTypes language extension. Therefore, readPrec (and its
cousin, readListPrec) are marked as GHC-only. Nevertheless, it is
recommended to use readPrec instead of readsPrec whenever possible
for the efficiency improvements it brings.
As mentioned above, derived Read instances in GHC will implement
readPrec instead of readsPrec. The default implementations of
readsPrec (and its cousin, readList) will simply use readPrec under
the hood. If you are writing a Read instance by hand, it is recommended
to write it like so:
instanceReadT wherereadPrec= ...readListPrec=readListPrecDefault
Methods
Arguments
| :: Int | the operator precedence of the enclosing
context (a number from |
| -> ReadS a |
attempts to parse a value from the front of the string, returning a list of (parsed value, remaining string) pairs. If there is no successful parse, the returned list is empty.
Derived instances of Read and Show satisfy the following:
That is, readsPrec parses the string produced by
showsPrec, and delivers the value that
showsPrec started with.
Instances
class (Num a, Ord a) => Real a where #
Methods
toRational :: a -> Rational #
the rational equivalent of its real argument with full precision
Instances
class (RealFrac a, Floating a) => RealFloat a where #
Efficient, machine-independent access to the components of a floating-point number.
Minimal complete definition
floatRadix, floatDigits, floatRange, decodeFloat, encodeFloat, isNaN, isInfinite, isDenormalized, isNegativeZero, isIEEE
Methods
floatRadix :: a -> Integer #
a constant function, returning the radix of the representation
(often 2)
floatDigits :: a -> Int #
a constant function, returning the number of digits of
floatRadix in the significand
floatRange :: a -> (Int, Int) #
a constant function, returning the lowest and highest values the exponent may assume
decodeFloat :: a -> (Integer, Int) #
The function decodeFloat applied to a real floating-point
number returns the significand expressed as an Integer and an
appropriately scaled exponent (an Int). If
yields decodeFloat x(m,n), then x is equal in value to m*b^^n, where b
is the floating-point radix, and furthermore, either m and n
are both zero or else b^(d-1) <= , where abs m < b^dd is
the value of .
In particular, floatDigits x. If the type
contains a negative zero, also decodeFloat 0 = (0,0).
The result of decodeFloat (-0.0) = (0,0) is unspecified if either of
decodeFloat x or isNaN x is isInfinite xTrue.
encodeFloat :: Integer -> Int -> a #
encodeFloat performs the inverse of decodeFloat in the
sense that for finite x with the exception of -0.0,
.
uncurry encodeFloat (decodeFloat x) = x is one of the two closest representable
floating-point numbers to encodeFloat m nm*b^^n (or ±Infinity if overflow
occurs); usually the closer, but if m contains too many bits,
the result may be rounded in the wrong direction.
exponent corresponds to the second component of decodeFloat.
and for finite nonzero exponent 0 = 0x,
.
If exponent x = snd (decodeFloat x) + floatDigits xx is a finite floating-point number, it is equal in value to
, where significand x * b ^^ exponent xb is the
floating-point radix.
The behaviour is unspecified on infinite or NaN values.
significand :: a -> a #
The first component of decodeFloat, scaled to lie in the open
interval (-1,1), either 0.0 or of absolute value >= 1/b,
where b is the floating-point radix.
The behaviour is unspecified on infinite or NaN values.
scaleFloat :: Int -> a -> a #
multiplies a floating-point number by an integer power of the radix
True if the argument is an IEEE "not-a-number" (NaN) value
isInfinite :: a -> Bool #
True if the argument is an IEEE infinity or negative infinity
isDenormalized :: a -> Bool #
True if the argument is too small to be represented in
normalized format
isNegativeZero :: a -> Bool #
True if the argument is an IEEE negative zero
True if the argument is an IEEE floating point number
a version of arctangent taking two real floating-point arguments.
For real floating x and y, computes the angle
(from the positive x-axis) of the vector from the origin to the
point atan2 y x(x,y). returns a value in the range [atan2 y x-pi,
pi]. It follows the Common Lisp semantics for the origin when
signed zeroes are supported. , with atan2 y 1y in a type
that is RealFloat, should return the same value as .
A default definition of atan yatan2 is provided, but implementors
can provide a more accurate implementation.
Instances
class (Real a, Fractional a) => RealFrac a where #
Extracting components of fractions.
Minimal complete definition
Methods
properFraction :: Integral b => a -> (b, a) #
The function properFraction takes a real fractional number x
and returns a pair (n,f) such that x = n+f, and:
nis an integral number with the same sign asx; andfis a fraction with the same type and sign asx, and with absolute value less than1.
The default definitions of the ceiling, floor, truncate
and round functions are in terms of properFraction.
truncate :: Integral b => a -> b #
returns the integer nearest truncate xx between zero and x
round :: Integral b => a -> b #
returns the nearest integer to round xx;
the even integer if x is equidistant between two integers
ceiling :: Integral b => a -> b #
returns the least integer not less than ceiling xx
floor :: Integral b => a -> b #
returns the greatest integer not greater than floor xx
Conversion of values to readable Strings.
Derived instances of Show have the following properties, which
are compatible with derived instances of Read:
- The result of
showis a syntactically correct Haskell expression containing only constants, given the fixity declarations in force at the point where the type is declared. It contains only the constructor names defined in the data type, parentheses, and spaces. When labelled constructor fields are used, braces, commas, field names, and equal signs are also used. - If the constructor is defined to be an infix operator, then
showsPrecwill produce infix applications of the constructor. - the representation will be enclosed in parentheses if the
precedence of the top-level constructor in
xis less thand(associativity is ignored). Thus, ifdis0then the result is never surrounded in parentheses; ifdis11it is always surrounded in parentheses, unless it is an atomic expression. - If the constructor is defined using record syntax, then
showwill produce the record-syntax form, with the fields given in the same order as the original declaration.
For example, given the declarations
infixr 5 :^: data Tree a = Leaf a | Tree a :^: Tree a
the derived instance of Show is equivalent to
instance (Show a) => Show (Tree a) where
showsPrec d (Leaf m) = showParen (d > app_prec) $
showString "Leaf " . showsPrec (app_prec+1) m
where app_prec = 10
showsPrec d (u :^: v) = showParen (d > up_prec) $
showsPrec (up_prec+1) u .
showString " :^: " .
showsPrec (up_prec+1) v
where up_prec = 5Note that right-associativity of :^: is ignored. For example,
produces the stringshow(Leaf 1 :^: Leaf 2 :^: Leaf 3)"Leaf 1 :^: (Leaf 2 :^: Leaf 3)".
Methods
Arguments
| :: Int | the operator precedence of the enclosing
context (a number from |
| -> a | the value to be converted to a |
| -> ShowS |
Convert a value to a readable String.
showsPrec should satisfy the law
showsPrec d x r ++ s == showsPrec d x (r ++ s)
Derived instances of Read and Show satisfy the following:
That is, readsPrec parses the string produced by
showsPrec, and delivers the value that showsPrec started with.
Instances
The Ix class is used to map a contiguous subrange of values in
a type onto integers. It is used primarily for array indexing
(see the array package).
The first argument (l,u) of each of these operations is a pair
specifying the lower and upper bounds of a contiguous subrange of values.
An implementation is entitled to assume the following laws about these operations:
Methods
The list of values in the subrange defined by a bounding pair.
The position of a subscript in the subrange.
inRange :: (a, a) -> a -> Bool #
Returns True the given subscript lies in the range defined
the bounding pair.
The size of the subrange defined by a bounding pair.
Instances
class Monad m => MonadFix (m :: Type -> Type) where #
Monads having fixed points with a 'knot-tying' semantics.
Instances of MonadFix should satisfy the following laws:
- purity
mfix(return. h) =return(fixh)- left shrinking (or tightening)
mfix(\x -> a >>= \y -> f x y) = a >>= \y ->mfix(\x -> f x y)- sliding
, for strictmfix(liftMh . f) =liftMh (mfix(f . h))h.- nesting
mfix(\x ->mfix(\y -> f x y)) =mfix(\x -> f x x)
This class is used in the translation of the recursive do notation
supported by GHC and Hugs.
Methods
Instances
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
Since: base-4.9.0.0
Instances
Class for string-like datastructures; used by the overloaded string extension (-XOverloadedStrings in GHC).
Methods
fromString :: String -> a #
Instances
| IsString ByteString | |
Defined in Data.ByteString.Internal Methods fromString :: String -> ByteString # | |
| IsString ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods fromString :: String -> ByteString # | |
| IsString ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods fromString :: String -> ShortByteString # | |
| IsString ParseError Source # | Inject into |
Defined in Prelude.Spiros.Parse Methods fromString :: String -> ParseError # | |
| IsString LocatedException Source # | Requires |
Defined in Prelude.Spiros.Exception Methods fromString :: String -> LocatedException # | |
| IsString QuotedException Source # |
NOTE the prefixing apostrophe is a |
Defined in Prelude.Spiros.Exception Methods fromString :: String -> QuotedException # | |
| IsString SimpleException Source # | |
Defined in Prelude.Spiros.Exception Methods fromString :: String -> SimpleException # | |
| IsString Subword Source # | ≡ NOTE |
Defined in Prelude.Spiros.Pretty Methods fromString :: String -> Subword # | |
| IsString Token Source # | = With case-folding via |
Defined in Prelude.Spiros.Pretty Methods fromString :: String -> Token # | |
| IsString Tokens Source # | ≡ ((i.e. a singleton token.) |
Defined in Prelude.Spiros.Pretty Methods fromString :: String -> Tokens # | |
| a ~ Char => IsString [a] |
Since: base-2.1 |
Defined in Data.String Methods fromString :: String -> [a] # | |
| IsString a => IsString (Identity a) | Since: base-4.9.0.0 |
Defined in Data.String Methods fromString :: String -> Identity a # | |
| (IsString s, FoldCase s) => IsString (CI s) | |
Defined in Data.CaseInsensitive.Internal Methods fromString :: String -> CI s # | |
| a ~ Char => IsString (Seq a) | Since: containers-0.5.7 |
Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a # | |
| (IsString a, Hashable a) => IsString (Hashed a) | |
Defined in Data.Hashable.Class Methods fromString :: String -> Hashed a # | |
| IsString a => IsString (Const a b) | Since: base-4.9.0.0 |
Defined in Data.String Methods fromString :: String -> Const a b # | |
class Functor f => Applicative (f :: Type -> Type) where #
A functor with application, providing operations to
A minimal complete definition must include implementations of pure
and of either <*> or liftA2. If it defines both, then they must behave
the same as their default definitions:
(<*>) =liftA2id
liftA2f x y = f<$>x<*>y
Further, any definition must satisfy the following:
- identity
pureid<*>v = v- composition
pure(.)<*>u<*>v<*>w = u<*>(v<*>w)- homomorphism
puref<*>purex =pure(f x)- interchange
u
<*>purey =pure($y)<*>u
The other methods have the following default definitions, which may be overridden with equivalent specialized implementations:
As a consequence of these laws, the Functor instance for f will satisfy
It may be useful to note that supposing
forall x y. p (q x y) = f x . g y
it follows from the above that
liftA2p (liftA2q u v) =liftA2f u .liftA2g v
If f is also a Monad, it should satisfy
(which implies that pure and <*> satisfy the applicative functor laws).
Methods
Lift a value.
(<*>) :: f (a -> b) -> f a -> f b infixl 4 #
Sequential application.
A few functors support an implementation of <*> that is more
efficient than the default one.
liftA2 :: (a -> b -> c) -> f a -> f b -> f c #
Lift a binary function to actions.
Some functors support an implementation of liftA2 that is more
efficient than the default one. In particular, if fmap is an
expensive operation, it is likely better to use liftA2 than to
fmap over the structure and then use <*>.
(*>) :: f a -> f b -> f b infixl 4 #
Sequence actions, discarding the value of the first argument.
(<*) :: f a -> f b -> f a infixl 4 #
Sequence actions, discarding the value of the second argument.
Instances
| Applicative [] | Since: base-2.1 |
| Applicative Maybe | Since: base-2.1 |
| Applicative IO | Since: base-2.1 |
| Applicative Par1 | Since: base-4.9.0.0 |
| Applicative Q | |
| Applicative Complex | Since: base-4.9.0.0 |
| Applicative Min | Since: base-4.9.0.0 |
| Applicative Max | Since: base-4.9.0.0 |
| Applicative First | Since: base-4.9.0.0 |
| Applicative Last | Since: base-4.9.0.0 |
| Applicative Option | Since: base-4.9.0.0 |
| Applicative ZipList | f '<$>' 'ZipList' xs1 '<*>' ... '<*>' 'ZipList' xsN
= 'ZipList' (zipWithN f xs1 ... xsN)where (\a b c -> stimes c [a, b]) <$> ZipList "abcd" <*> ZipList "567" <*> ZipList [1..]
= ZipList (zipWith3 (\a b c -> stimes c [a, b]) "abcd" "567" [1..])
= ZipList {getZipList = ["a5","b6b6","c7c7c7"]}Since: base-2.1 |
| Applicative Identity | Since: base-4.8.0.0 |
| Applicative STM | Since: base-4.8.0.0 |
| Applicative First | Since: base-4.8.0.0 |
| Applicative Last | Since: base-4.8.0.0 |
| Applicative Dual | Since: base-4.8.0.0 |
| Applicative Sum | Since: base-4.8.0.0 |
| Applicative Product | Since: base-4.8.0.0 |
| Applicative Down | Since: base-4.11.0.0 |
| Applicative ReadPrec | Since: base-4.6.0.0 |
| Applicative ReadP | Since: base-4.6.0.0 |
| Applicative NonEmpty | Since: base-4.9.0.0 |
| Applicative Put | |
| Applicative Tree | |
| Applicative Seq | Since: containers-0.5.4 |
| Applicative Array | |
| Applicative P | Since: base-4.5.0.0 |
| Applicative (Either e) | Since: base-3.0 |
| Applicative (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Monoid a => Applicative ((,) a) | For tuples, the ("hello ", (+15)) <*> ("world!", 2002)
("hello world!",2017)Since: base-2.1 |
| Applicative (Parser i) | |
| Monad m => Applicative (WrappedMonad m) | Since: base-2.1 |
Defined in Control.Applicative Methods pure :: a -> WrappedMonad m a # (<*>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b # liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c # (*>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b # (<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a # | |
| Arrow a => Applicative (ArrowMonad a) | Since: base-4.6.0.0 |
Defined in Control.Arrow Methods pure :: a0 -> ArrowMonad a a0 # (<*>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b # liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c # (*>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b # (<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0 # | |
| Applicative (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| (Functor m, Monad m) => Applicative (MaybeT m) | |
| Applicative m => Applicative (ListT m) | |
| Applicative (SetM s) | |
| Applicative f => Applicative (Rec1 f) | Since: base-4.9.0.0 |
| Arrow a => Applicative (WrappedArrow a b) | Since: base-2.1 |
Defined in Control.Applicative Methods pure :: a0 -> WrappedArrow a b a0 # (<*>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c # (*>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 # (<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 # | |
| Monoid m => Applicative (Const m :: Type -> Type) | Since: base-2.0.1 |
| Applicative f => Applicative (Ap f) | Since: base-4.12.0.0 |
| Applicative f => Applicative (Alt f) | Since: base-4.8.0.0 |
| Applicative m => Applicative (IdentityT m) | |
Defined in Control.Monad.Trans.Identity | |
| (Applicative f, Monad f) => Applicative (WhenMissing f x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods pure :: a -> WhenMissing f x a # (<*>) :: WhenMissing f x (a -> b) -> WhenMissing f x a -> WhenMissing f x b # liftA2 :: (a -> b -> c) -> WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x c # (*>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b # (<*) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x a # | |
| (Functor m, Monad m) => Applicative (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| (Functor m, Monad m) => Applicative (ErrorT e m) | |
Defined in Control.Monad.Trans.Error | |
| (Functor m, Monad m) => Applicative (StateT s m) | |
Defined in Control.Monad.Trans.State.Strict | |
| (Functor m, Monad m) => Applicative (StateT s m) | |
Defined in Control.Monad.Trans.State.Lazy | |
| (Monoid w, Applicative m) => Applicative (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.Lazy | |
| (Monoid w, Applicative m) => Applicative (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.Strict | |
| Applicative ((->) a :: Type -> Type) | Since: base-2.1 |
| Monoid c => Applicative (K1 i c :: Type -> Type) | Since: base-4.12.0.0 |
| (Applicative f, Applicative g) => Applicative (f :*: g) | Since: base-4.9.0.0 |
| (Applicative f, Applicative g) => Applicative (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product | |
| (Monad f, Applicative f) => Applicative (WhenMatched f x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods pure :: a -> WhenMatched f x y a # (<*>) :: WhenMatched f x y (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b # liftA2 :: (a -> b -> c) -> WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y c # (*>) :: WhenMatched f x y 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 a # | |
| (Applicative f, Monad f) => Applicative (WhenMissing f k x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods pure :: a -> WhenMissing f k x a # (<*>) :: WhenMissing f k x (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b # liftA2 :: (a -> b -> c) -> WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x c # (*>) :: WhenMissing f k x 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 a # | |
| Applicative (ContT r m) | |
Defined in Control.Monad.Trans.Cont | |
| Applicative m => Applicative (ReaderT r m) | |
Defined in Control.Monad.Trans.Reader | |
| Applicative f => Applicative (M1 i c f) | Since: base-4.9.0.0 |
| (Applicative f, Applicative g) => Applicative (f :.: g) | Since: base-4.9.0.0 |
| (Applicative f, Applicative g) => Applicative (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
| (Monad f, Applicative f) => Applicative (WhenMatched f k x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods pure :: a -> WhenMatched f k x y a # (<*>) :: WhenMatched f k x y (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b # liftA2 :: (a -> b -> c) -> WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y c # (*>) :: WhenMatched f k x y 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 a # | |
| (Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) | |
Defined in Control.Monad.Trans.RWS.Strict | |
| (Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) | |
Defined in Control.Monad.Trans.RWS.Lazy | |
class Foldable (t :: Type -> Type) where #
Data structures that can be folded.
For example, given a data type
data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)
a suitable instance would be
instance Foldable Tree where foldMap f Empty = mempty foldMap f (Leaf x) = f x foldMap f (Node l k r) = foldMap f l `mappend` f k `mappend` foldMap f r
This is suitable even for abstract types, as the monoid is assumed
to satisfy the monoid laws. Alternatively, one could define foldr:
instance Foldable Tree where foldr f z Empty = z foldr f z (Leaf x) = f x z foldr f z (Node l k r) = foldr f (f k (foldr f z r)) l
Foldable instances are expected to satisfy the following laws:
foldr f z t = appEndo (foldMap (Endo . f) t ) z
foldl f z t = appEndo (getDual (foldMap (Dual . Endo . flip f) t)) z
fold = foldMap id
length = getSum . foldMap (Sum . const 1)
sum, product, maximum, and minimum should all be essentially
equivalent to foldMap forms, such as
sum = getSum . foldMap Sum
but may be less defined.
If the type is also a Functor instance, it should satisfy
foldMap f = fold . fmap f
which implies that
foldMap f . fmap g = foldMap (f . g)
Methods
foldr :: (a -> b -> b) -> b -> t a -> b #
Right-associative fold of a structure.
In the case of lists, foldr, when applied to a binary operator, a
starting value (typically the right-identity of the operator), and a
list, reduces the list using the binary operator, from right to left:
foldr f z [x1, x2, ..., xn] == x1 `f` (x2 `f` ... (xn `f` z)...)
Note that, since the head of the resulting expression is produced by
an application of the operator to the first element of the list,
foldr can produce a terminating expression from an infinite list.
For a general Foldable structure this should be semantically identical
to,
foldr f z =foldrf z .toList
foldl :: (b -> a -> b) -> b -> t a -> b #
Left-associative fold of a structure.
In the case of lists, foldl, when applied to a binary
operator, a starting value (typically the left-identity of the operator),
and a list, reduces the list using the binary operator, from left to
right:
foldl f z [x1, x2, ..., xn] == (...((z `f` x1) `f` x2) `f`...) `f` xn
Note that to produce the outermost application of the operator the
entire input list must be traversed. This means that foldl' will
diverge if given an infinite list.
Also note that if you want an efficient left-fold, you probably want to
use foldl' instead of foldl. The reason for this is that latter does
not force the "inner" results (e.g. z in the above example)
before applying them to the operator (e.g. to f x1(). This results
in a thunk chain f x2)O(n) elements long, which then must be evaluated from
the outside-in.
For a general Foldable structure this should be semantically identical
to,
foldl f z =foldlf z .toList
foldl' :: (b -> a -> b) -> b -> t a -> b #
Left-associative fold of a structure but with strict application of the operator.
This ensures that each step of the fold is forced to weak head normal
form before being applied, avoiding the collection of thunks that would
otherwise occur. This is often what you want to strictly reduce a finite
list to a single, monolithic result (e.g. length).
For a general Foldable structure this should be semantically identical
to,
foldl f z =foldl'f z .toList
foldr1 :: (a -> a -> a) -> t a -> a #
A variant of foldr that has no base case,
and thus may only be applied to non-empty structures.
foldr1f =foldr1f .toList
foldl1 :: (a -> a -> a) -> t a -> a #
A variant of foldl that has no base case,
and thus may only be applied to non-empty structures.
foldl1f =foldl1f .toList
Test whether the structure is empty. The default implementation is optimized for structures that are similar to cons-lists, because there is no general way to do better.
Returns the size/length of a finite structure as an Int. The
default implementation is optimized for structures that are similar to
cons-lists, because there is no general way to do better.
elem :: Eq a => a -> t a -> Bool infix 4 #
Does the element occur in the structure?
maximum :: Ord a => t a -> a #
The largest element of a non-empty structure.
minimum :: Ord a => t a -> a #
The least element of a non-empty structure.
The sum function computes the sum of the numbers of a structure.
product :: Num a => t a -> a #
The product function computes the product of the numbers of a
structure.
Instances
| Foldable [] | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => [m] -> m # foldMap :: Monoid m => (a -> m) -> [a] -> m # foldr :: (a -> b -> b) -> b -> [a] -> b # foldr' :: (a -> b -> b) -> b -> [a] -> b # foldl :: (b -> a -> b) -> b -> [a] -> b # foldl' :: (b -> a -> b) -> b -> [a] -> b # foldr1 :: (a -> a -> a) -> [a] -> a # foldl1 :: (a -> a -> a) -> [a] -> a # elem :: Eq a => a -> [a] -> Bool # maximum :: Ord a => [a] -> a # | |
| Foldable Maybe | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # | |
| Foldable Par1 | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Par1 m -> m # foldMap :: Monoid m => (a -> m) -> Par1 a -> m # foldr :: (a -> b -> b) -> b -> Par1 a -> b # foldr' :: (a -> b -> b) -> b -> Par1 a -> b # foldl :: (b -> a -> b) -> b -> Par1 a -> b # foldl' :: (b -> a -> b) -> b -> Par1 a -> b # foldr1 :: (a -> a -> a) -> Par1 a -> a # foldl1 :: (a -> a -> a) -> Par1 a -> a # elem :: Eq a => a -> Par1 a -> Bool # maximum :: Ord a => Par1 a -> a # | |
| Foldable Complex | Since: base-4.9.0.0 |
Defined in Data.Complex Methods fold :: Monoid m => Complex m -> m # foldMap :: Monoid m => (a -> m) -> Complex a -> m # foldr :: (a -> b -> b) -> b -> Complex a -> b # foldr' :: (a -> b -> b) -> b -> Complex a -> b # foldl :: (b -> a -> b) -> b -> Complex a -> b # foldl' :: (b -> a -> b) -> b -> Complex a -> b # foldr1 :: (a -> a -> a) -> Complex a -> a # foldl1 :: (a -> a -> a) -> Complex a -> a # elem :: Eq a => a -> Complex a -> Bool # maximum :: Ord a => Complex a -> a # minimum :: Ord a => Complex a -> a # | |
| Foldable Min | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Min m -> m # foldMap :: Monoid m => (a -> m) -> Min a -> m # foldr :: (a -> b -> b) -> b -> Min a -> b # foldr' :: (a -> b -> b) -> b -> Min a -> b # foldl :: (b -> a -> b) -> b -> Min a -> b # foldl' :: (b -> a -> b) -> b -> Min a -> b # foldr1 :: (a -> a -> a) -> Min a -> a # foldl1 :: (a -> a -> a) -> Min a -> a # elem :: Eq a => a -> Min a -> Bool # maximum :: Ord a => Min a -> a # | |
| Foldable Max | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Max m -> m # foldMap :: Monoid m => (a -> m) -> Max a -> m # foldr :: (a -> b -> b) -> b -> Max a -> b # foldr' :: (a -> b -> b) -> b -> Max a -> b # foldl :: (b -> a -> b) -> b -> Max a -> b # foldl' :: (b -> a -> b) -> b -> Max a -> b # foldr1 :: (a -> a -> a) -> Max a -> a # foldl1 :: (a -> a -> a) -> Max a -> a # elem :: Eq a => a -> Max a -> Bool # maximum :: Ord a => Max a -> a # | |
| Foldable First | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # | |
| Foldable Last | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # | |
| Foldable Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Option m -> m # foldMap :: Monoid m => (a -> m) -> Option a -> m # foldr :: (a -> b -> b) -> b -> Option a -> b # foldr' :: (a -> b -> b) -> b -> Option a -> b # foldl :: (b -> a -> b) -> b -> Option a -> b # foldl' :: (b -> a -> b) -> b -> Option a -> b # foldr1 :: (a -> a -> a) -> Option a -> a # foldl1 :: (a -> a -> a) -> Option a -> a # elem :: Eq a => a -> Option a -> Bool # maximum :: Ord a => Option a -> a # minimum :: Ord a => Option a -> a # | |
| Foldable ZipList | Since: base-4.9.0.0 |
Defined in Control.Applicative Methods fold :: Monoid m => ZipList m -> m # foldMap :: Monoid m => (a -> m) -> ZipList a -> m # foldr :: (a -> b -> b) -> b -> ZipList a -> b # foldr' :: (a -> b -> b) -> b -> ZipList a -> b # foldl :: (b -> a -> b) -> b -> ZipList a -> b # foldl' :: (b -> a -> b) -> b -> ZipList a -> b # foldr1 :: (a -> a -> a) -> ZipList a -> a # foldl1 :: (a -> a -> a) -> ZipList a -> a # elem :: Eq a => a -> ZipList a -> Bool # maximum :: Ord a => ZipList a -> a # minimum :: Ord a => ZipList a -> a # | |
| Foldable Identity | Since: base-4.8.0.0 |
Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m # foldMap :: Monoid m => (a -> m) -> Identity a -> m # foldr :: (a -> b -> b) -> b -> Identity a -> b # foldr' :: (a -> b -> b) -> b -> Identity a -> b # foldl :: (b -> a -> b) -> b -> Identity a -> b # foldl' :: (b -> a -> b) -> b -> Identity a -> b # foldr1 :: (a -> a -> a) -> Identity a -> a # foldl1 :: (a -> a -> a) -> Identity a -> a # elem :: Eq a => a -> Identity a -> Bool # maximum :: Ord a => Identity a -> a # minimum :: Ord a => Identity a -> a # | |
| Foldable First | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # | |
| Foldable Last | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # | |
| Foldable Dual | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m # foldMap :: Monoid m => (a -> m) -> Dual a -> m # foldr :: (a -> b -> b) -> b -> Dual a -> b # foldr' :: (a -> b -> b) -> b -> Dual a -> b # foldl :: (b -> a -> b) -> b -> Dual a -> b # foldl' :: (b -> a -> b) -> b -> Dual a -> b # foldr1 :: (a -> a -> a) -> Dual a -> a # foldl1 :: (a -> a -> a) -> Dual a -> a # elem :: Eq a => a -> Dual a -> Bool # maximum :: Ord a => Dual a -> a # | |
| Foldable Sum | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> m # foldMap :: Monoid m => (a -> m) -> Sum a -> m # foldr :: (a -> b -> b) -> b -> Sum a -> b # foldr' :: (a -> b -> b) -> b -> Sum a -> b # foldl :: (b -> a -> b) -> b -> Sum a -> b # foldl' :: (b -> a -> b) -> b -> Sum a -> b # foldr1 :: (a -> a -> a) -> Sum a -> a # foldl1 :: (a -> a -> a) -> Sum a -> a # elem :: Eq a => a -> Sum a -> Bool # maximum :: Ord a => Sum a -> a # | |
| Foldable Product | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Product m -> m # foldMap :: Monoid m => (a -> m) -> Product a -> m # foldr :: (a -> b -> b) -> b -> Product a -> b # foldr' :: (a -> b -> b) -> b -> Product a -> b # foldl :: (b -> a -> b) -> b -> Product a -> b # foldl' :: (b -> a -> b) -> b -> Product a -> b # foldr1 :: (a -> a -> a) -> Product a -> a # foldl1 :: (a -> a -> a) -> Product a -> a # elem :: Eq a => a -> Product a -> Bool # maximum :: Ord a => Product a -> a # minimum :: Ord a => Product a -> a # | |
| Foldable Down | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Down m -> m # foldMap :: Monoid m => (a -> m) -> Down a -> m # foldr :: (a -> b -> b) -> b -> Down a -> b # foldr' :: (a -> b -> b) -> b -> Down a -> b # foldl :: (b -> a -> b) -> b -> Down a -> b # foldl' :: (b -> a -> b) -> b -> Down a -> b # foldr1 :: (a -> a -> a) -> Down a -> a # foldl1 :: (a -> a -> a) -> Down a -> a # elem :: Eq a => a -> Down a -> Bool # maximum :: Ord a => Down a -> a # | |
| Foldable NonEmpty | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b # foldr1 :: (a -> a -> a) -> NonEmpty a -> a # foldl1 :: (a -> a -> a) -> NonEmpty a -> a # elem :: Eq a => a -> NonEmpty a -> Bool # maximum :: Ord a => NonEmpty a -> a # minimum :: Ord a => NonEmpty a -> a # | |
| Foldable IntMap | |
Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # | |
| Foldable SCC | Since: containers-0.5.9 |
Defined in Data.Graph Methods fold :: Monoid m => SCC m -> m # foldMap :: Monoid m => (a -> m) -> SCC a -> m # foldr :: (a -> b -> b) -> b -> SCC a -> b # foldr' :: (a -> b -> b) -> b -> SCC a -> b # foldl :: (b -> a -> b) -> b -> SCC a -> b # foldl' :: (b -> a -> b) -> b -> SCC a -> b # foldr1 :: (a -> a -> a) -> SCC a -> a # foldl1 :: (a -> a -> a) -> SCC a -> a # elem :: Eq a => a -> SCC a -> Bool # maximum :: Ord a => SCC a -> a # | |
| Foldable Tree | |
Defined in Data.Tree Methods fold :: Monoid m => Tree m -> m # foldMap :: Monoid m => (a -> m) -> Tree a -> m # foldr :: (a -> b -> b) -> b -> Tree a -> b # foldr' :: (a -> b -> b) -> b -> Tree a -> b # foldl :: (b -> a -> b) -> b -> Tree a -> b # foldl' :: (b -> a -> b) -> b -> Tree a -> b # foldr1 :: (a -> a -> a) -> Tree a -> a # foldl1 :: (a -> a -> a) -> Tree a -> a # elem :: Eq a => a -> Tree a -> Bool # maximum :: Ord a => Tree a -> a # | |
| Foldable Seq | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # | |
| Foldable FingerTree | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m # foldMap :: Monoid m => (a -> m) -> FingerTree a -> m # foldr :: (a -> b -> b) -> b -> FingerTree a -> b # foldr' :: (a -> b -> b) -> b -> FingerTree a -> b # foldl :: (b -> a -> b) -> b -> FingerTree a -> b # foldl' :: (b -> a -> b) -> b -> FingerTree a -> b # foldr1 :: (a -> a -> a) -> FingerTree a -> a # foldl1 :: (a -> a -> a) -> FingerTree a -> a # toList :: FingerTree a -> [a] # null :: FingerTree a -> Bool # length :: FingerTree a -> Int # elem :: Eq a => a -> FingerTree a -> Bool # maximum :: Ord a => FingerTree a -> a # minimum :: Ord a => FingerTree a -> a # sum :: Num a => FingerTree a -> a # product :: Num a => FingerTree a -> a # | |
| Foldable Digit | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m # foldMap :: Monoid m => (a -> m) -> Digit a -> m # foldr :: (a -> b -> b) -> b -> Digit a -> b # foldr' :: (a -> b -> b) -> b -> Digit a -> b # foldl :: (b -> a -> b) -> b -> Digit a -> b # foldl' :: (b -> a -> b) -> b -> Digit a -> b # foldr1 :: (a -> a -> a) -> Digit a -> a # foldl1 :: (a -> a -> a) -> Digit a -> a # elem :: Eq a => a -> Digit a -> Bool # maximum :: Ord a => Digit a -> a # minimum :: Ord a => Digit a -> a # | |
| Foldable Node | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m # foldMap :: Monoid m => (a -> m) -> Node a -> m # foldr :: (a -> b -> b) -> b -> Node a -> b # foldr' :: (a -> b -> b) -> b -> Node a -> b # foldl :: (b -> a -> b) -> b -> Node a -> b # foldl' :: (b -> a -> b) -> b -> Node a -> b # foldr1 :: (a -> a -> a) -> Node a -> a # foldl1 :: (a -> a -> a) -> Node a -> a # elem :: Eq a => a -> Node a -> Bool # maximum :: Ord a => Node a -> a # | |
| Foldable Elem | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m # foldMap :: Monoid m => (a -> m) -> Elem a -> m # foldr :: (a -> b -> b) -> b -> Elem a -> b # foldr' :: (a -> b -> b) -> b -> Elem a -> b # foldl :: (b -> a -> b) -> b -> Elem a -> b # foldl' :: (b -> a -> b) -> b -> Elem a -> b # foldr1 :: (a -> a -> a) -> Elem a -> a # foldl1 :: (a -> a -> a) -> Elem a -> a # elem :: Eq a => a -> Elem a -> Bool # maximum :: Ord a => Elem a -> a # | |
| Foldable ViewL | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m # foldMap :: Monoid m => (a -> m) -> ViewL a -> m # foldr :: (a -> b -> b) -> b -> ViewL a -> b # foldr' :: (a -> b -> b) -> b -> ViewL a -> b # foldl :: (b -> a -> b) -> b -> ViewL a -> b # foldl' :: (b -> a -> b) -> b -> ViewL a -> b # foldr1 :: (a -> a -> a) -> ViewL a -> a # foldl1 :: (a -> a -> a) -> ViewL a -> a # elem :: Eq a => a -> ViewL a -> Bool # maximum :: Ord a => ViewL a -> a # minimum :: Ord a => ViewL a -> a # | |
| Foldable ViewR | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m # foldMap :: Monoid m => (a -> m) -> ViewR a -> m # foldr :: (a -> b -> b) -> b -> ViewR a -> b # foldr' :: (a -> b -> b) -> b -> ViewR a -> b # foldl :: (b -> a -> b) -> b -> ViewR a -> b # foldl' :: (b -> a -> b) -> b -> ViewR a -> b # foldr1 :: (a -> a -> a) -> ViewR a -> a # foldl1 :: (a -> a -> a) -> ViewR a -> a # elem :: Eq a => a -> ViewR a -> Bool # maximum :: Ord a => ViewR a -> a # minimum :: Ord a => ViewR a -> a # | |
| Foldable Set | |
Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # | |
| Foldable Hashed | |
Defined in Data.Hashable.Class Methods fold :: Monoid m => Hashed m -> m # foldMap :: Monoid m => (a -> m) -> Hashed a -> m # foldr :: (a -> b -> b) -> b -> Hashed a -> b # foldr' :: (a -> b -> b) -> b -> Hashed a -> b # foldl :: (b -> a -> b) -> b -> Hashed a -> b # foldl' :: (b -> a -> b) -> b -> Hashed a -> b # foldr1 :: (a -> a -> a) -> Hashed a -> a # foldl1 :: (a -> a -> a) -> Hashed a -> a # elem :: Eq a => a -> Hashed a -> Bool # maximum :: Ord a => Hashed a -> a # minimum :: Ord a => Hashed a -> a # | |
| Foldable Array | |
Defined in Data.Primitive.Array Methods fold :: Monoid m => Array m -> m # foldMap :: Monoid m => (a -> m) -> Array a -> m # foldr :: (a -> b -> b) -> b -> Array a -> b # foldr' :: (a -> b -> b) -> b -> Array a -> b # foldl :: (b -> a -> b) -> b -> Array a -> b # foldl' :: (b -> a -> b) -> b -> Array a -> b # foldr1 :: (a -> a -> a) -> Array a -> a # foldl1 :: (a -> a -> a) -> Array a -> a # elem :: Eq a => a -> Array a -> Bool # maximum :: Ord a => Array a -> a # minimum :: Ord a => Array a -> a # | |
| Foldable Replace Source # | |
Defined in Prelude.Spiros.Enriched Methods fold :: Monoid m => Replace m -> m # foldMap :: Monoid m => (a -> m) -> Replace a -> m # foldr :: (a -> b -> b) -> b -> Replace a -> b # foldr' :: (a -> b -> b) -> b -> Replace a -> b # foldl :: (b -> a -> b) -> b -> Replace a -> b # foldl' :: (b -> a -> b) -> b -> Replace a -> b # foldr1 :: (a -> a -> a) -> Replace a -> a # foldl1 :: (a -> a -> a) -> Replace a -> a # elem :: Eq a => a -> Replace a -> Bool # maximum :: Ord a => Replace a -> a # minimum :: Ord a => Replace a -> a # | |
| Foldable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # | |
| Foldable (V1 :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => V1 m -> m # foldMap :: Monoid m => (a -> m) -> V1 a -> m # foldr :: (a -> b -> b) -> b -> V1 a -> b # foldr' :: (a -> b -> b) -> b -> V1 a -> b # foldl :: (b -> a -> b) -> b -> V1 a -> b # foldl' :: (b -> a -> b) -> b -> V1 a -> b # foldr1 :: (a -> a -> a) -> V1 a -> a # foldl1 :: (a -> a -> a) -> V1 a -> a # elem :: Eq a => a -> V1 a -> Bool # maximum :: Ord a => V1 a -> a # | |
| Foldable (U1 :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => U1 m -> m # foldMap :: Monoid m => (a -> m) -> U1 a -> m # foldr :: (a -> b -> b) -> b -> U1 a -> b # foldr' :: (a -> b -> b) -> b -> U1 a -> b # foldl :: (b -> a -> b) -> b -> U1 a -> b # foldl' :: (b -> a -> b) -> b -> U1 a -> b # foldr1 :: (a -> a -> a) -> U1 a -> a # foldl1 :: (a -> a -> a) -> U1 a -> a # elem :: Eq a => a -> U1 a -> Bool # maximum :: Ord a => U1 a -> a # | |
| Foldable ((,) a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (a, m) -> m # foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m # foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # elem :: Eq a0 => a0 -> (a, a0) -> Bool # maximum :: Ord a0 => (a, a0) -> a0 # minimum :: Ord a0 => (a, a0) -> a0 # | |
| Foldable (Array i) | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Array i m -> m # foldMap :: Monoid m => (a -> m) -> Array i a -> m # foldr :: (a -> b -> b) -> b -> Array i a -> b # foldr' :: (a -> b -> b) -> b -> Array i a -> b # foldl :: (b -> a -> b) -> b -> Array i a -> b # foldl' :: (b -> a -> b) -> b -> Array i a -> b # foldr1 :: (a -> a -> a) -> Array i a -> a # foldl1 :: (a -> a -> a) -> Array i a -> a # elem :: Eq a => a -> Array i a -> Bool # maximum :: Ord a => Array i a -> a # minimum :: Ord a => Array i a -> a # | |
| Foldable (Arg a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Arg a m -> m # foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # elem :: Eq a0 => a0 -> Arg a a0 -> Bool # maximum :: Ord a0 => Arg a a0 -> a0 # minimum :: Ord a0 => Arg a a0 -> a0 # | |
| Foldable (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> 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 # elem :: Eq a => a -> Proxy a -> Bool # maximum :: Ord a => Proxy a -> a # minimum :: Ord a => Proxy a -> a # | |
| Foldable (Map k) | |
Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # | |
| Foldable f => Foldable (MaybeT f) | |
Defined in Control.Monad.Trans.Maybe Methods fold :: Monoid m => MaybeT f m -> m # foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m # foldr :: (a -> b -> b) -> b -> MaybeT f a -> b # foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b # foldl :: (b -> a -> b) -> b -> MaybeT f a -> b # foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b # foldr1 :: (a -> a -> a) -> MaybeT f a -> a # foldl1 :: (a -> a -> a) -> MaybeT f a -> a # elem :: Eq a => a -> MaybeT f a -> Bool # maximum :: Ord a => MaybeT f a -> a # minimum :: Ord a => MaybeT f a -> a # | |
| Foldable f => Foldable (ListT f) | |
Defined in Control.Monad.Trans.List Methods fold :: Monoid m => ListT f m -> m # foldMap :: Monoid m => (a -> m) -> ListT f a -> m # foldr :: (a -> b -> b) -> b -> ListT f a -> b # foldr' :: (a -> b -> b) -> b -> ListT f a -> b # foldl :: (b -> a -> b) -> b -> ListT f a -> b # foldl' :: (b -> a -> b) -> b -> ListT f a -> b # foldr1 :: (a -> a -> a) -> ListT f a -> a # foldl1 :: (a -> a -> a) -> ListT f a -> a # elem :: Eq a => a -> ListT f a -> Bool # maximum :: Ord a => ListT f a -> a # minimum :: Ord a => ListT f a -> a # | |
| Foldable f => Foldable (Rec1 f) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Rec1 f m -> m # foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m # foldr :: (a -> b -> b) -> b -> Rec1 f a -> b # foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b # foldl :: (b -> a -> b) -> b -> Rec1 f a -> b # foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b # foldr1 :: (a -> a -> a) -> Rec1 f a -> a # foldl1 :: (a -> a -> a) -> Rec1 f a -> a # elem :: Eq a => a -> Rec1 f a -> Bool # maximum :: Ord a => Rec1 f a -> a # minimum :: Ord a => Rec1 f a -> a # | |
| Foldable (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Char m -> m # foldMap :: Monoid m => (a -> m) -> URec Char a -> m # foldr :: (a -> b -> b) -> b -> URec Char a -> b # foldr' :: (a -> b -> b) -> b -> URec Char a -> b # foldl :: (b -> a -> b) -> b -> URec Char a -> b # foldl' :: (b -> a -> b) -> b -> URec Char a -> b # foldr1 :: (a -> a -> a) -> URec Char a -> a # foldl1 :: (a -> a -> a) -> URec Char a -> a # toList :: URec Char a -> [a] # length :: URec Char a -> Int # elem :: Eq a => a -> URec Char a -> Bool # maximum :: Ord a => URec Char a -> a # minimum :: Ord a => URec Char a -> a # | |
| Foldable (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Double m -> m # foldMap :: Monoid m => (a -> m) -> URec Double a -> m # foldr :: (a -> b -> b) -> b -> URec Double a -> b # foldr' :: (a -> b -> b) -> b -> URec Double a -> b # foldl :: (b -> a -> b) -> b -> URec Double a -> b # foldl' :: (b -> a -> b) -> b -> URec Double a -> b # foldr1 :: (a -> a -> a) -> URec Double a -> a # foldl1 :: (a -> a -> a) -> URec Double a -> a # toList :: URec Double a -> [a] # null :: URec Double a -> Bool # length :: URec Double a -> Int # elem :: Eq a => a -> URec Double a -> Bool # maximum :: Ord a => URec Double a -> a # minimum :: Ord a => URec Double a -> a # | |
| Foldable (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Float m -> m # foldMap :: Monoid m => (a -> m) -> URec Float a -> m # foldr :: (a -> b -> b) -> b -> URec Float a -> b # foldr' :: (a -> b -> b) -> b -> URec Float a -> b # foldl :: (b -> a -> b) -> b -> URec Float a -> b # foldl' :: (b -> a -> b) -> b -> URec Float a -> b # foldr1 :: (a -> a -> a) -> URec Float a -> a # foldl1 :: (a -> a -> a) -> URec Float a -> a # toList :: URec Float a -> [a] # null :: URec Float a -> Bool # length :: URec Float a -> Int # elem :: Eq a => a -> URec Float a -> Bool # maximum :: Ord a => URec Float a -> a # minimum :: Ord a => URec Float a -> a # | |
| Foldable (URec Int :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Int m -> m # foldMap :: Monoid m => (a -> m) -> URec Int a -> m # foldr :: (a -> b -> b) -> b -> URec Int a -> b # foldr' :: (a -> b -> b) -> b -> URec Int a -> b # foldl :: (b -> a -> b) -> b -> URec Int a -> b # foldl' :: (b -> a -> b) -> b -> URec Int a -> b # foldr1 :: (a -> a -> a) -> URec Int a -> a # foldl1 :: (a -> a -> a) -> URec Int a -> a # elem :: Eq a => a -> URec Int a -> Bool # maximum :: Ord a => URec Int a -> a # minimum :: Ord a => URec Int a -> a # | |
| Foldable (URec Word :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Word m -> m # foldMap :: Monoid m => (a -> m) -> URec Word a -> m # foldr :: (a -> b -> b) -> b -> URec Word a -> b # foldr' :: (a -> b -> b) -> b -> URec Word a -> b # foldl :: (b -> a -> b) -> b -> URec Word a -> b # foldl' :: (b -> a -> b) -> b -> URec Word a -> b # foldr1 :: (a -> a -> a) -> URec Word a -> a # foldl1 :: (a -> a -> a) -> URec Word a -> a # toList :: URec Word a -> [a] # length :: URec Word a -> Int # elem :: Eq a => a -> URec Word a -> Bool # maximum :: Ord a => URec Word a -> a # minimum :: Ord a => URec Word a -> a # | |
| Foldable (URec (Ptr ()) :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec (Ptr ()) m -> m # foldMap :: Monoid m => (a -> m) -> URec (Ptr ()) a -> m # foldr :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldr' :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldl :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldl' :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldr1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # foldl1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # toList :: URec (Ptr ()) a -> [a] # null :: URec (Ptr ()) a -> Bool # length :: URec (Ptr ()) a -> Int # elem :: Eq a => a -> URec (Ptr ()) a -> Bool # maximum :: Ord a => URec (Ptr ()) a -> a # minimum :: Ord a => URec (Ptr ()) a -> a # | |
| Foldable (Const m :: Type -> Type) | Since: base-4.7.0.0 |
Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 # foldr :: (a -> b -> b) -> b -> Const m a -> b # foldr' :: (a -> b -> b) -> b -> Const m a -> b # foldl :: (b -> a -> b) -> b -> Const m a -> b # foldl' :: (b -> a -> b) -> b -> Const m a -> b # foldr1 :: (a -> a -> a) -> Const m a -> a # foldl1 :: (a -> a -> a) -> Const m a -> a # elem :: Eq a => a -> Const m a -> Bool # maximum :: Ord a => Const m a -> a # minimum :: Ord a => Const m a -> a # | |
| Foldable f => Foldable (Ap f) | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Ap f m -> m # foldMap :: Monoid m => (a -> m) -> Ap f a -> m # foldr :: (a -> b -> b) -> b -> Ap f a -> b # foldr' :: (a -> b -> b) -> b -> Ap f a -> b # foldl :: (b -> a -> b) -> b -> Ap f a -> b # foldl' :: (b -> a -> b) -> b -> Ap f a -> b # foldr1 :: (a -> a -> a) -> Ap f a -> a # foldl1 :: (a -> a -> a) -> Ap f a -> a # elem :: Eq a => a -> Ap f a -> Bool # maximum :: Ord a => Ap f a -> a # | |
| Foldable f => Foldable (Alt f) | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Alt f m -> m # foldMap :: Monoid m => (a -> m) -> Alt f a -> m # foldr :: (a -> b -> b) -> b -> Alt f a -> b # foldr' :: (a -> b -> b) -> b -> Alt f a -> b # foldl :: (b -> a -> b) -> b -> Alt f a -> b # foldl' :: (b -> a -> b) -> b -> Alt f a -> b # foldr1 :: (a -> a -> a) -> Alt f a -> a # foldl1 :: (a -> a -> a) -> Alt f a -> a # elem :: Eq a => a -> Alt f a -> Bool # maximum :: Ord a => Alt f a -> a # minimum :: Ord a => Alt f a -> a # | |
| Foldable f => Foldable (IdentityT f) | |
Defined in Control.Monad.Trans.Identity Methods fold :: Monoid m => IdentityT f m -> m # foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m # foldr :: (a -> b -> b) -> b -> IdentityT f a -> b # foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b # foldl :: (b -> a -> b) -> b -> IdentityT f a -> b # foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b # foldr1 :: (a -> a -> a) -> IdentityT f a -> a # foldl1 :: (a -> a -> a) -> IdentityT f a -> a # toList :: IdentityT f a -> [a] # null :: IdentityT f a -> Bool # length :: IdentityT f a -> Int # elem :: Eq a => a -> IdentityT f a -> Bool # maximum :: Ord a => IdentityT f a -> a # minimum :: Ord a => IdentityT f a -> a # | |
| Foldable f => Foldable (ExceptT e f) | |
Defined in Control.Monad.Trans.Except Methods fold :: Monoid m => ExceptT e f m -> m # foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m # foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldr1 :: (a -> a -> a) -> ExceptT e f a -> a # foldl1 :: (a -> a -> a) -> ExceptT e f a -> a # toList :: ExceptT e f a -> [a] # null :: ExceptT e f a -> Bool # length :: ExceptT e f a -> Int # elem :: Eq a => a -> ExceptT e f a -> Bool # maximum :: Ord a => ExceptT e f a -> a # minimum :: Ord a => ExceptT e f a -> a # | |
| Foldable f => Foldable (ErrorT e f) | |
Defined in Control.Monad.Trans.Error Methods fold :: Monoid m => ErrorT e f m -> m # foldMap :: Monoid m => (a -> m) -> ErrorT e f a -> m # foldr :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldr' :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldl :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldl' :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldr1 :: (a -> a -> a) -> ErrorT e f a -> a # foldl1 :: (a -> a -> a) -> ErrorT e f a -> a # toList :: ErrorT e f a -> [a] # null :: ErrorT e f a -> Bool # length :: ErrorT e f a -> Int # elem :: Eq a => a -> ErrorT e f a -> Bool # maximum :: Ord a => ErrorT e f a -> a # minimum :: Ord a => ErrorT e f a -> a # | |
| Foldable f => Foldable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Lazy Methods fold :: Monoid m => WriterT w f m -> m # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b # foldr1 :: (a -> a -> a) -> WriterT w f a -> a # foldl1 :: (a -> a -> a) -> WriterT w f a -> a # toList :: WriterT w f a -> [a] # null :: WriterT w f a -> Bool # length :: WriterT w f a -> Int # elem :: Eq a => a -> WriterT w f a -> Bool # maximum :: Ord a => WriterT w f a -> a # minimum :: Ord a => WriterT w f a -> a # | |
| Foldable f => Foldable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Strict Methods fold :: Monoid m => WriterT w f m -> m # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b # foldr1 :: (a -> a -> a) -> WriterT w f a -> a # foldl1 :: (a -> a -> a) -> WriterT w f a -> a # toList :: WriterT w f a -> [a] # null :: WriterT w f a -> Bool # length :: WriterT w f a -> Int # elem :: Eq a => a -> WriterT w f a -> Bool # maximum :: Ord a => WriterT w f a -> a # minimum :: Ord a => WriterT w f a -> a # | |
| Foldable (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => K1 i c m -> m # foldMap :: Monoid m => (a -> m) -> K1 i c a -> m # foldr :: (a -> b -> b) -> b -> K1 i c a -> b # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b # foldl :: (b -> a -> b) -> b -> K1 i c a -> b # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b # foldr1 :: (a -> a -> a) -> K1 i c a -> a # foldl1 :: (a -> a -> a) -> K1 i c a -> a # elem :: Eq a => a -> K1 i c a -> Bool # maximum :: Ord a => K1 i c a -> a # minimum :: Ord a => K1 i c a -> a # | |
| (Foldable f, Foldable g) => Foldable (f :+: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldr1 :: (a -> a -> a) -> (f :+: g) a -> a # foldl1 :: (a -> a -> a) -> (f :+: g) a -> a # toList :: (f :+: g) a -> [a] # length :: (f :+: g) a -> Int # elem :: Eq a => a -> (f :+: g) a -> Bool # maximum :: Ord a => (f :+: g) a -> a # minimum :: Ord a => (f :+: g) a -> a # | |
| (Foldable f, Foldable g) => Foldable (f :*: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :*: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :*: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :*: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b # foldr1 :: (a -> a -> a) -> (f :*: g) a -> a # foldl1 :: (a -> a -> a) -> (f :*: g) a -> a # toList :: (f :*: g) a -> [a] # length :: (f :*: g) a -> Int # elem :: Eq a => a -> (f :*: g) a -> Bool # maximum :: Ord a => (f :*: g) a -> a # minimum :: Ord a => (f :*: g) a -> a # | |
| (Foldable f, Foldable g) => Foldable (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product Methods fold :: Monoid m => Product f g m -> m # foldMap :: Monoid m => (a -> m) -> Product f g a -> m # foldr :: (a -> b -> b) -> b -> Product f g a -> b # foldr' :: (a -> b -> b) -> b -> Product f g a -> b # foldl :: (b -> a -> b) -> b -> Product f g a -> b # foldl' :: (b -> a -> b) -> b -> Product f g a -> b # foldr1 :: (a -> a -> a) -> Product f g a -> a # foldl1 :: (a -> a -> a) -> Product f g a -> a # toList :: Product f g a -> [a] # null :: Product f g a -> Bool # length :: Product f g a -> Int # elem :: Eq a => a -> Product f g a -> Bool # maximum :: Ord a => Product f g a -> a # minimum :: Ord a => Product f g a -> a # | |
| (Foldable f, Foldable g) => Foldable (Sum f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum Methods fold :: Monoid m => Sum f g m -> m # foldMap :: Monoid m => (a -> m) -> Sum f g a -> m # foldr :: (a -> b -> b) -> b -> Sum f g a -> b # foldr' :: (a -> b -> b) -> b -> Sum f g a -> b # foldl :: (b -> a -> b) -> b -> Sum f g a -> b # foldl' :: (b -> a -> b) -> b -> Sum f g a -> b # foldr1 :: (a -> a -> a) -> Sum f g a -> a # foldl1 :: (a -> a -> a) -> Sum f g a -> a # elem :: Eq a => a -> Sum f g a -> Bool # maximum :: Ord a => Sum f g a -> a # minimum :: Ord a => Sum f g a -> a # | |
| Foldable f => Foldable (M1 i c f) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => M1 i c f m -> m # foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b # foldr1 :: (a -> a -> a) -> M1 i c f a -> a # foldl1 :: (a -> a -> a) -> M1 i c f a -> a # elem :: Eq a => a -> M1 i c f a -> Bool # maximum :: Ord a => M1 i c f a -> a # minimum :: Ord a => M1 i c f a -> a # | |
| (Foldable f, Foldable g) => Foldable (f :.: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :.: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a # toList :: (f :.: g) a -> [a] # length :: (f :.: g) a -> Int # elem :: Eq a => a -> (f :.: g) a -> Bool # maximum :: Ord a => (f :.: g) a -> a # minimum :: Ord a => (f :.: g) a -> a # | |
| (Foldable f, Foldable g) => Foldable (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods fold :: Monoid m => Compose f g m -> m # foldMap :: Monoid m => (a -> m) -> Compose f g a -> m # foldr :: (a -> b -> b) -> b -> Compose f g a -> b # foldr' :: (a -> b -> b) -> b -> Compose f g a -> b # foldl :: (b -> a -> b) -> b -> Compose f g a -> b # foldl' :: (b -> a -> b) -> b -> Compose f g a -> b # foldr1 :: (a -> a -> a) -> Compose f g a -> a # foldl1 :: (a -> a -> a) -> Compose f g a -> a # toList :: Compose f g a -> [a] # null :: Compose f g a -> Bool # length :: Compose f g a -> Int # elem :: Eq a => a -> Compose f g a -> Bool # maximum :: Ord a => Compose f g a -> a # minimum :: Ord a => Compose f g a -> a # | |
class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where #
Functors representing data structures that can be traversed from left to right.
A definition of traverse must satisfy the following laws:
- naturality
t .for every applicative transformationtraversef =traverse(t . f)t- identity
traverseIdentity = Identity- composition
traverse(Compose .fmapg . f) = Compose .fmap(traverseg) .traversef
A definition of sequenceA must satisfy the following laws:
- naturality
t .for every applicative transformationsequenceA=sequenceA.fmaptt- identity
sequenceA.fmapIdentity = Identity- composition
sequenceA.fmapCompose = Compose .fmapsequenceA.sequenceA
where an applicative transformation is a function
t :: (Applicative f, Applicative g) => f a -> g a
preserving the Applicative operations, i.e.
and the identity functor Identity and composition of functors Compose
are defined as
newtype Identity a = Identity a
instance Functor Identity where
fmap f (Identity x) = Identity (f x)
instance Applicative Identity where
pure x = Identity x
Identity f <*> Identity x = Identity (f x)
newtype Compose f g a = Compose (f (g a))
instance (Functor f, Functor g) => Functor (Compose f g) where
fmap f (Compose x) = Compose (fmap (fmap f) x)
instance (Applicative f, Applicative g) => Applicative (Compose f g) where
pure x = Compose (pure (pure x))
Compose f <*> Compose x = Compose ((<*>) <$> f <*> x)(The naturality law is implied by parametricity.)
Instances are similar to Functor, e.g. given a data type
data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)
a suitable instance would be
instance Traversable Tree where traverse f Empty = pure Empty traverse f (Leaf x) = Leaf <$> f x traverse f (Node l k r) = Node <$> traverse f l <*> f k <*> traverse f r
This is suitable even for abstract types, as the laws for <*>
imply a form of associativity.
The superclass instances should satisfy the following:
- In the
Functorinstance,fmapshould be equivalent to traversal with the identity applicative functor (fmapDefault). - In the
Foldableinstance,foldMapshould be equivalent to traversal with a constant applicative functor (foldMapDefault).
Methods
traverse :: Applicative f => (a -> f b) -> t a -> f (t b) #
Map each element of a structure to an action, evaluate these actions
from left to right, and collect the results. For a version that ignores
the results see traverse_.
sequenceA :: Applicative f => t (f a) -> f (t a) #
Evaluate each action in the structure from left to right, and
collect the results. For a version that ignores the results
see sequenceA_.
mapM :: 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_.
sequence :: 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_.
Instances
Representable types of kind *.
This class is derivable in GHC with the DeriveGeneric flag on.
A Generic instance must satisfy the following laws:
from.to≡idto.from≡id
Instances
class Generic1 (f :: k -> Type) #
Representable types of kind * -> * (or kind k -> *, when PolyKinds
is enabled).
This class is derivable in GHC with the DeriveGeneric flag on.
A Generic1 instance must satisfy the following laws:
from1.to1≡idto1.from1≡id
Instances
The class of semigroups (types with an associative binary operation).
Instances should satisfy the associativity law:
Since: base-4.9.0.0
Minimal complete definition
Methods
(<>) :: a -> a -> a infixr 6 #
An associative operation.
Reduce a non-empty list with <>
The default definition should be sufficient, but this can be overridden for efficiency.
stimes :: Integral b => b -> a -> a #
Repeat a value n times.
Given that this works on a Semigroup it is allowed to fail if
you request 0 or fewer repetitions, and the default definition
will do so.
By making this a member of the class, idempotent semigroups
and monoids can upgrade this to execute in O(1) by
picking stimes = or stimesIdempotentstimes =
respectively.stimesIdempotentMonoid
Instances
class Semigroup a => Monoid a where #
The class of monoids (types with an associative binary operation that has an identity). Instances should satisfy the following laws:
x
<>mempty= xmempty<>x = xx(<>(y<>z) = (x<>y)<>zSemigrouplaw)mconcat=foldr'(<>)'mempty
The method names refer to the monoid of lists under concatenation, but there are many other instances.
Some types can be viewed as a monoid in more than one way,
e.g. both addition and multiplication on numbers.
In such cases we often define newtypes and make those instances
of Monoid, e.g. Sum and Product.
NOTE: Semigroup is a superclass of Monoid since base-4.11.0.0.
Minimal complete definition
Methods
Identity of mappend
An associative operation
NOTE: This method is redundant and has the default
implementation since base-4.11.0.0.mappend = '(<>)'
Fold a list using the monoid.
For most types, the default definition for mconcat will be
used, but the function is included in the class definition so
that an optimized version can be provided for specific types.
Instances
| Monoid Ordering | Since: base-2.1 |
| Monoid () | Since: base-2.1 |
| Monoid ByteString | |
Defined in Data.ByteString.Internal Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString # | |
| Monoid ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString # | |
| Monoid More | |
| Monoid All | Since: base-2.1 |
| Monoid Any | Since: base-2.1 |
| Monoid ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods mappend :: ShortByteString -> ShortByteString -> ShortByteString # mconcat :: [ShortByteString] -> ShortByteString # | |
| Monoid Builder | |
| Monoid IntSet | |
| Monoid [a] | Since: base-2.1 |
| Semigroup a => Monoid (Maybe a) | Lift a semigroup into Since 4.11.0: constraint on inner Since: base-2.1 |
| Monoid a => Monoid (IO a) | Since: base-4.9.0.0 |
| Monoid p => Monoid (Par1 p) | Since: base-4.12.0.0 |
| Monoid (Predicate a) | |
| Monoid (Comparison a) | |
Defined in Data.Functor.Contravariant Methods mempty :: Comparison a # mappend :: Comparison a -> Comparison a -> Comparison a # mconcat :: [Comparison a] -> Comparison a # | |
| Monoid (Equivalence a) | |
Defined in Data.Functor.Contravariant Methods mempty :: Equivalence a # mappend :: Equivalence a -> Equivalence a -> Equivalence a # mconcat :: [Equivalence a] -> Equivalence a # | |
| (Ord a, Bounded a) => Monoid (Min a) | Since: base-4.9.0.0 |
| (Ord a, Bounded a) => Monoid (Max a) | Since: base-4.9.0.0 |
| Monoid m => Monoid (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods mempty :: WrappedMonoid m # mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # mconcat :: [WrappedMonoid m] -> WrappedMonoid m # | |
| Semigroup a => Monoid (Option a) | Since: base-4.9.0.0 |
| Monoid a => Monoid (Identity a) | Since: base-4.9.0.0 |
| Monoid (First a) | Since: base-2.1 |
| Monoid (Last a) | Since: base-2.1 |
| Monoid a => Monoid (Dual a) | Since: base-2.1 |
| Monoid (Endo a) | Since: base-2.1 |
| Num a => Monoid (Sum a) | Since: base-2.1 |
| Num a => Monoid (Product a) | Since: base-2.1 |
| Monoid a => Monoid (Down a) | Since: base-4.11.0.0 |
| Monoid s => Monoid (CI s) | |
| Monoid (IntMap a) | |
| Monoid (Seq a) | |
| Ord a => Monoid (Set a) | |
| Monoid (Array a) | |
| Monoid (MergeSet a) | |
| Monoid b => Monoid (a -> b) | Since: base-2.1 |
| Monoid (U1 p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b) => Monoid (a, b) | Since: base-2.1 |
| Monoid a => Monoid (Op a b) | |
| Monoid (Parser i a) | |
| Monoid (Proxy s) | Since: base-4.7.0.0 |
| Ord k => Monoid (Map k v) | |
| Monoid (f p) => Monoid (Rec1 f p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b, Monoid c) => Monoid (a, b, c) | Since: base-2.1 |
| Monoid a => Monoid (Const a b) | Since: base-4.9.0.0 |
| (Applicative f, Monoid a) => Monoid (Ap f a) | Since: base-4.12.0.0 |
| Alternative f => Monoid (Alt f a) | Since: base-4.8.0.0 |
| Monoid c => Monoid (K1 i c p) | Since: base-4.12.0.0 |
| (Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (a, b, c, d) | Since: base-2.1 |
| Monoid (f p) => Monoid (M1 i c f p) | Since: base-4.12.0.0 |
| Monoid (f (g p)) => Monoid ((f :.: g) p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) => Monoid (a, b, c, d, e) | Since: base-2.1 |
A Lift instance can have any of its values turned into a Template
Haskell expression. This is needed when a value used within a Template
Haskell quotation is bound outside the Oxford brackets ([| ... |]) but not
at the top level. As an example:
add1 :: Int -> Q Exp add1 x = [| x + 1 |]
Template Haskell has no way of knowing what value x will take on at
splice-time, so it requires the type of x to be an instance of Lift.
A Lift instance must satisfy $(lift x) ≡ x for all x, where $(...)
is a Template Haskell splice.
Lift instances can be derived automatically by use of the -XDeriveLift
GHC language extension:
{-# LANGUAGE DeriveLift #-}
module Foo where
import Language.Haskell.TH.Syntax
data Bar a = Bar1 a (Bar a) | Bar2 String
deriving LiftInstances
class Contravariant (f :: Type -> Type) where #
The class of contravariant functors.
Whereas in Haskell, one can think of a Functor as containing or producing
values, a contravariant functor is a functor that can be thought of as
consuming values.
As an example, consider the type of predicate functions a -> Bool. One
such predicate might be negative x = x < 0, which
classifies integers as to whether they are negative. However, given this
predicate, we can re-use it in other situations, providing we have a way to
map values to integers. For instance, we can use the negative predicate
on a person's bank balance to work out if they are currently overdrawn:
newtype Predicate a = Predicate { getPredicate :: a -> Bool }
instance Contravariant Predicate where
contramap f (Predicate p) = Predicate (p . f)
| `- First, map the input...
`----- then apply the predicate.
overdrawn :: Predicate Person
overdrawn = contramap personBankBalance negative
Any instance should be subject to the following laws:
contramap id = id contramap f . contramap g = contramap (g . f)
Note, that the second law follows from the free theorem of the type of
contramap and the first law, so you need only check that the former
condition holds.
Minimal complete definition
Instances
class Monad m => MonadReader r (m :: Type -> Type) | m -> r where #
See examples in Control.Monad.Reader.
Note, the partially applied function type (->) r is a simple reader monad.
See the instance declaration below.
Methods
Retrieves the monad environment.
Arguments
| :: (r -> r) | The function to modify the environment. |
| -> m a |
|
| -> m a |
Executes a computation in a modified environment.
Arguments
| :: (r -> a) | The selector function to apply to the environment. |
| -> m a |
Retrieves a function of the current environment.
Instances
| MonadReader r m => MonadReader r (MaybeT m) | |
| MonadReader r m => MonadReader r (ListT m) | |
| (Monoid w, MonadReader r m) => MonadReader r (WriterT w m) | |
| (Monoid w, MonadReader r m) => MonadReader r (WriterT w m) | |
| MonadReader r m => MonadReader r (StateT s m) | |
| MonadReader r m => MonadReader r (StateT s m) | |
| MonadReader r m => MonadReader r (IdentityT m) | |
| MonadReader r m => MonadReader r (ExceptT e m) | Since: mtl-2.2 |
| (Error e, MonadReader r m) => MonadReader r (ErrorT e m) | |
| Monad m => MonadReader r (ReaderT r m) | |
| MonadReader r ((->) r :: Type -> Type) | |
| MonadReader r' m => MonadReader r' (ContT r m) | |
| (Monad m, Monoid w) => MonadReader r (RWST r w s m) | |
| (Monad m, Monoid w) => MonadReader r (RWST r w s m) | |
class Monad m => MonadState s (m :: Type -> Type) | m -> s where #
Minimal definition is either both of get and put or just state
Methods
Return the state from the internals of the monad.
Replace the state inside the monad.
state :: (s -> (a, s)) -> m a #
Embed a simple state action into the monad.
Instances
| MonadState s m => MonadState s (MaybeT m) | |
| MonadState s m => MonadState s (ListT m) | |
| (Monoid w, MonadState s m) => MonadState s (WriterT w m) | |
| (Monoid w, MonadState s m) => MonadState s (WriterT w m) | |
| Monad m => MonadState s (StateT s m) | |
| Monad m => MonadState s (StateT s m) | |
| MonadState s m => MonadState s (IdentityT m) | |
| MonadState s m => MonadState s (ExceptT e m) | Since: mtl-2.2 |
| (Error e, MonadState s m) => MonadState s (ErrorT e m) | |
| MonadState s m => MonadState s (ReaderT r m) | |
| MonadState s m => MonadState s (ContT r m) | |
| (Monad m, Monoid w) => MonadState s (RWST r w s m) | |
| (Monad m, Monoid w) => MonadState s (RWST r w s m) | |
class Applicative f => Alternative (f :: Type -> Type) where #
A monoid on applicative functors.
If defined, some and many should be the least solutions
of the equations:
Methods
The identity of <|>
(<|>) :: f a -> f a -> f a infixl 3 #
An associative binary operation
One or more.
Zero or more.
Instances
class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where #
Monads that also support choice and failure.
Minimal complete definition
Nothing
Methods
The identity of mplus. It should also satisfy the equations
mzero >>= f = mzero v >> mzero = mzero
The default definition is
mzero = empty
An associative operation. The default definition is
mplus = (<|>)
Instances
class (Bifunctor t, Bifoldable t) => Bitraversable (t :: Type -> Type -> Type) where #
Bitraversable identifies bifunctorial data structures whose elements can
be traversed in order, performing Applicative or Monad actions at each
element, and collecting a result structure with the same shape.
As opposed to Traversable data structures, which have one variety of
element on which an action can be performed, Bitraversable data structures
have two such varieties of elements.
A definition of bitraverse must satisfy the following laws:
- naturality
for every applicative transformationbitraverse(t . f) (t . g) ≡ t .bitraversef gt- identity
bitraverseIdentityIdentity≡Identity- composition
Compose.fmap(bitraverseg1 g2) .bitraversef1 f2 ≡traverse(Compose.fmapg1 . f1) (Compose.fmapg2 . f2)
where an applicative transformation is a function
t :: (Applicativef,Applicativeg) => f a -> g a
preserving the Applicative operations:
t (purex) =purex t (f<*>x) = t f<*>t x
and the identity functor Identity and composition functors Compose are
defined as
newtype Identity a = Identity { runIdentity :: a }
instance Functor Identity where
fmap f (Identity x) = Identity (f x)
instance Applicative Identity where
pure = Identity
Identity f <*> Identity x = Identity (f x)
newtype Compose f g a = Compose (f (g a))
instance (Functor f, Functor g) => Functor (Compose f g) where
fmap f (Compose x) = Compose (fmap (fmap f) x)
instance (Applicative f, Applicative g) => Applicative (Compose f g) where
pure = Compose . pure . pure
Compose f <*> Compose x = Compose ((<*>) <$> f <*> x)Some simple examples are Either and '(,)':
instance Bitraversable Either where bitraverse f _ (Left x) = Left <$> f x bitraverse _ g (Right y) = Right <$> g y instance Bitraversable (,) where bitraverse f g (x, y) = (,) <$> f x <*> g y
Bitraversable relates to its superclasses in the following ways:
bimapf g ≡runIdentity.bitraverse(Identity. f) (Identity. g)bifoldMapf g =getConst.bitraverse(Const. f) (Const. g)
These are available as bimapDefault and bifoldMapDefault respectively.
Since: base-4.10.0.0
Minimal complete definition
Nothing
Methods
bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> t a b -> f (t c d) #
Evaluates the relevant functions at each element in the structure, running the action, and builds a new structure with the same shape, using the results produced from sequencing the actions.
bitraversef g ≡bisequenceA.bimapf g
For a version that ignores the results, see bitraverse_.
Since: base-4.10.0.0
Instances
| Bitraversable Either | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Either a b -> f (Either c d) # | |
| Bitraversable (,) | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> (a, b) -> f (c, d) # | |
| Bitraversable Arg | Since: base-4.10.0.0 |
Defined in Data.Semigroup Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Arg a b -> f (Arg c d) # | |
| Bitraversable ((,,) x) | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> (x, a, b) -> f (x, c, d) # | |
| Bitraversable (Const :: Type -> Type -> Type) | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Const a b -> f (Const c d) # | |
| Bitraversable (K1 i :: Type -> Type -> Type) | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> K1 i a b -> f (K1 i c d) # | |
| Bitraversable ((,,,) x y) | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> (x, y, a, b) -> f (x, y, c, d) # | |
| Bitraversable ((,,,,) x y z) | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> (x, y, z, a, b) -> f (x, y, z, c, d) # | |
| Bitraversable ((,,,,,) x y z w) | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> (x, y, z, w, a, b) -> f (x, y, z, w, c, d) # | |
| Bitraversable ((,,,,,,) x y z w v) | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> (x, y, z, w, v, a, b) -> f (x, y, z, w, v, c, d) # | |
class Bifoldable (p :: Type -> Type -> Type) where #
Bifoldable identifies foldable structures with two different varieties
of elements (as opposed to Foldable, which has one variety of element).
Common examples are Either and '(,)':
instance Bifoldable Either where bifoldMap f _ (Left a) = f a bifoldMap _ g (Right b) = g b instance Bifoldable (,) where bifoldr f g z (a, b) = f a (g b z)
A minimal Bifoldable definition consists of either bifoldMap or
bifoldr. When defining more than this minimal set, one should ensure
that the following identities hold:
bifold≡bifoldMapididbifoldMapf g ≡bifoldr(mappend. f) (mappend. g)memptybifoldrf g z t ≡appEndo(bifoldMap(Endo . f) (Endo . g) t) z
If the type is also a Bifunctor instance, it should satisfy:
'bifoldMap' f g ≡ 'bifold' . 'bimap' f g
which implies that
'bifoldMap' f g . 'bimap' h i ≡ 'bifoldMap' (f . h) (g . i)
Since: base-4.10.0.0
Methods
bifold :: Monoid m => p m m -> m #
bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> p a b -> m #
Combines the elements of a structure, given ways of mapping them to a common monoid.
bifoldMapf g ≡bifoldr(mappend. f) (mappend. g)mempty
Since: base-4.10.0.0
bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> p a b -> c #
Combines the elements of a structure in a right associative manner.
Given a hypothetical function toEitherList :: p a b -> [Either a b]
yielding a list of all elements of a structure in order, the following
would hold:
bifoldrf g z ≡foldr(eitherf g) z . toEitherList
Since: base-4.10.0.0
bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> p a b -> c #
Combines the elements of a structure in a left associative manner. Given
a hypothetical function toEitherList :: p a b -> [Either a b] yielding a
list of all elements of a structure in order, the following would hold:
bifoldlf g z ≡foldl(acc ->either(f acc) (g acc)) z . toEitherList
Note that if you want an efficient left-fold, you probably want to use
bifoldl' instead of bifoldl. The reason is that the latter does not
force the "inner" results, resulting in a thunk chain which then must be
evaluated from the outside-in.
Since: base-4.10.0.0
Instances
| Bifoldable Either | Since: base-4.10.0.0 |
| Bifoldable (,) | Since: base-4.10.0.0 |
| Bifoldable Arg | Since: base-4.10.0.0 |
| Bifoldable ((,,) x) | Since: base-4.10.0.0 |
| Bifoldable (Const :: Type -> Type -> Type) | Since: base-4.10.0.0 |
| Bifoldable (K1 i :: Type -> Type -> Type) | Since: base-4.10.0.0 |
| Bifoldable ((,,,) x y) | Since: base-4.10.0.0 |
| Bifoldable ((,,,,) x y z) | Since: base-4.10.0.0 |
| Bifoldable ((,,,,,) x y z w) | Since: base-4.10.0.0 |
Defined in Data.Bifoldable | |
| Bifoldable ((,,,,,,) x y z w v) | Since: base-4.10.0.0 |
Defined in Data.Bifoldable | |
class Bifunctor (p :: Type -> Type -> Type) where #
A bifunctor is a type constructor that takes
two type arguments and is a functor in both arguments. That
is, unlike with Functor, a type constructor such as Either
does not need to be partially applied for a Bifunctor
instance, and the methods in this class permit mapping
functions over the Left value or the Right value,
or both at the same time.
Formally, the class Bifunctor represents a bifunctor
from Hask -> Hask.
Intuitively it is a bifunctor where both the first and second arguments are covariant.
You can define a Bifunctor by either defining bimap or by
defining both first and second.
If you supply bimap, you should ensure that:
bimapidid≡id
If you supply first and second, ensure:
firstid≡idsecondid≡id
If you supply both, you should also ensure:
bimapf g ≡firstf.secondg
These ensure by parametricity:
bimap(f.g) (h.i) ≡bimapf h.bimapg ifirst(f.g) ≡firstf.firstgsecond(f.g) ≡secondf.secondg
Since: base-4.8.0.0
Methods
bimap :: (a -> b) -> (c -> d) -> p a c -> p b d #
Map over both arguments at the same time.
bimapf g ≡firstf.secondg
Examples
>>>bimap toUpper (+1) ('j', 3)('J',4)
>>>bimap toUpper (+1) (Left 'j')Left 'J'
>>>bimap toUpper (+1) (Right 3)Right 4
Instances
| Bifunctor Either | Since: base-4.8.0.0 |
| Bifunctor (,) | Since: base-4.8.0.0 |
| Bifunctor Arg | Since: base-4.9.0.0 |
| Bifunctor ((,,) x1) | Since: base-4.8.0.0 |
| Bifunctor (Const :: Type -> Type -> Type) | Since: base-4.8.0.0 |
| Bifunctor (K1 i :: Type -> Type -> Type) | Since: base-4.9.0.0 |
| Bifunctor ((,,,) x1 x2) | Since: base-4.8.0.0 |
| Bifunctor ((,,,,) x1 x2 x3) | Since: base-4.8.0.0 |
| Bifunctor ((,,,,,) x1 x2 x3 x4) | Since: base-4.8.0.0 |
| Bifunctor ((,,,,,,) x1 x2 x3 x4 x5) | Since: base-4.8.0.0 |
showsPrec2 :: (Show2 f, Show a, Show b) => Int -> f a b -> ShowS #
Lift the standard showsPrec function through the type constructor.
Since: base-4.9.0.0
readsPrec2 :: (Read2 f, Read a, Read b) => Int -> ReadS (f a b) #
Lift the standard readsPrec function through the type constructor.
Since: base-4.9.0.0
compare2 :: (Ord2 f, Ord a, Ord b) => f a b -> f a b -> Ordering #
Lift the standard compare function through the type constructor.
Since: base-4.9.0.0
eq2 :: (Eq2 f, Eq a, Eq b) => f a b -> f a b -> Bool #
Lift the standard ( function through the type constructor.==)
Since: base-4.9.0.0
compare1 :: (Ord1 f, Ord a) => f a -> f a -> Ordering #
Lift the standard compare function through the type constructor.
Since: base-4.9.0.0
eq1 :: (Eq1 f, Eq a) => f a -> f a -> Bool #
Lift the standard ( function through the type constructor.==)
Since: base-4.9.0.0
class Eq1 (f :: Type -> Type) where #
Lifting of the Eq class to unary type constructors.
Since: base-4.9.0.0
Methods
liftEq :: (a -> b -> Bool) -> f a -> f b -> Bool #
Lift an equality test through the type constructor.
The function will usually be applied to an equality function, but the more general type ensures that the implementation uses it to compare elements of the first container with elements of the second.
Since: base-4.9.0.0
Instances
| Eq1 [] | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Eq1 Maybe | Since: base-4.9.0.0 |
| Eq1 Identity | Since: base-4.9.0.0 |
| Eq1 Down | Since: base-4.12.0.0 |
| Eq1 NonEmpty | Since: base-4.10.0.0 |
| Eq1 IntMap | Since: containers-0.5.9 |
| Eq1 SCC | Since: containers-0.5.9 |
| Eq1 Tree | Since: containers-0.5.9 |
| Eq1 Seq | Since: containers-0.5.9 |
| Eq1 Set | Since: containers-0.5.9 |
| Eq1 Hashed | |
| Eq1 Array | Since: primitive-0.6.4.0 |
| Eq a => Eq1 (Either a) | Since: base-4.9.0.0 |
| Eq a => Eq1 ((,) a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Eq1 (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
| Eq k => Eq1 (Map k) | Since: containers-0.5.9 |
| Eq1 m => Eq1 (MaybeT m) | |
| Eq1 m => Eq1 (ListT m) | |
| Eq a => Eq1 (Const a :: Type -> Type) | Since: base-4.9.0.0 |
| Eq1 f => Eq1 (IdentityT f) | |
| (Eq e, Eq1 m) => Eq1 (ExceptT e m) | |
| (Eq e, Eq1 m) => Eq1 (ErrorT e m) | |
| (Eq w, Eq1 m) => Eq1 (WriterT w m) | |
| (Eq w, Eq1 m) => Eq1 (WriterT w m) | |
| (Eq1 f, Eq1 g) => Eq1 (Product f g) | Since: base-4.9.0.0 |
| (Eq1 f, Eq1 g) => Eq1 (Sum f g) | Since: base-4.9.0.0 |
| (Eq1 f, Eq1 g) => Eq1 (Compose f g) | Since: base-4.9.0.0 |
class Eq1 f => Ord1 (f :: Type -> Type) where #
Lifting of the Ord class to unary type constructors.
Since: base-4.9.0.0
Methods
liftCompare :: (a -> b -> Ordering) -> f a -> f b -> Ordering #
Lift a compare function through the type constructor.
The function will usually be applied to a comparison function, but the more general type ensures that the implementation uses it to compare elements of the first container with elements of the second.
Since: base-4.9.0.0
Instances
| Ord1 [] | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> [a] -> [b] -> Ordering # | |
| Ord1 Maybe | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Ord1 Identity | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Ord1 Down | Since: base-4.12.0.0 |
Defined in Data.Functor.Classes | |
| Ord1 NonEmpty | Since: base-4.10.0.0 |
Defined in Data.Functor.Classes | |
| Ord1 IntMap | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal | |
| Ord1 Tree | Since: containers-0.5.9 |
| Ord1 Seq | Since: containers-0.5.9 |
Defined in Data.Sequence.Internal | |
| Ord1 Set | Since: containers-0.5.9 |
Defined in Data.Set.Internal | |
| Ord1 Hashed | |
Defined in Data.Hashable.Class | |
| Ord1 Array | Since: primitive-0.6.4.0 |
Defined in Data.Primitive.Array | |
| Ord a => Ord1 (Either a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Ord a => Ord1 ((,) a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftCompare :: (a0 -> b -> Ordering) -> (a, a0) -> (a, b) -> Ordering # | |
| Ord1 (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Ord k => Ord1 (Map k) | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| Ord1 m => Ord1 (MaybeT m) | |
Defined in Control.Monad.Trans.Maybe | |
| Ord1 m => Ord1 (ListT m) | |
Defined in Control.Monad.Trans.List | |
| Ord a => Ord1 (Const a :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Ord1 f => Ord1 (IdentityT f) | |
Defined in Control.Monad.Trans.Identity | |
| (Ord e, Ord1 m) => Ord1 (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| (Ord e, Ord1 m) => Ord1 (ErrorT e m) | |
Defined in Control.Monad.Trans.Error | |
| (Ord w, Ord1 m) => Ord1 (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.Lazy | |
| (Ord w, Ord1 m) => Ord1 (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.Strict | |
| (Ord1 f, Ord1 g) => Ord1 (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product | |
| (Ord1 f, Ord1 g) => Ord1 (Sum f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum | |
| (Ord1 f, Ord1 g) => Ord1 (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
class Read1 (f :: Type -> Type) where #
Lifting of the Read class to unary type constructors.
Both liftReadsPrec and liftReadPrec exist to match the interface
provided in the Read type class, but it is recommended to implement
Read1 instances using liftReadPrec as opposed to liftReadsPrec, since
the former is more efficient than the latter. For example:
instanceRead1T whereliftReadPrec= ...liftReadListPrec=liftReadListPrecDefault
For more information, refer to the documentation for the Read class.
Since: base-4.9.0.0
Minimal complete definition
Methods
liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (f a) #
readsPrec function for an application of the type constructor
based on readsPrec and readList functions for the argument type.
Since: base-4.9.0.0
liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [f a] #
readList function for an application of the type constructor
based on readsPrec and readList functions for the argument type.
The default implementation using standard list syntax is correct
for most types.
Since: base-4.9.0.0
liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (f a) #
readPrec function for an application of the type constructor
based on readPrec and readListPrec functions for the argument type.
Since: base-4.10.0.0
liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [f a] #
readListPrec function for an application of the type constructor
based on readPrec and readListPrec functions for the argument type.
The default definition uses liftReadList. Instances that define
liftReadPrec should also define liftReadListPrec as
liftReadListPrecDefault.
Since: base-4.10.0.0
Instances
class Show1 (f :: Type -> Type) where #
Lifting of the Show class to unary type constructors.
Since: base-4.9.0.0
Minimal complete definition
Methods
liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS #
showsPrec function for an application of the type constructor
based on showsPrec and showList functions for the argument type.
Since: base-4.9.0.0
liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [f a] -> ShowS #
Instances
| Show1 [] | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Show1 Maybe | Since: base-4.9.0.0 |
| Show1 Identity | Since: base-4.9.0.0 |
| Show1 Down | Since: base-4.12.0.0 |
| Show1 NonEmpty | Since: base-4.10.0.0 |
| Show1 IntMap | Since: containers-0.5.9 |
| Show1 SCC | Since: containers-0.5.9 |
| Show1 Tree | Since: containers-0.5.9 |
| Show1 Seq | Since: containers-0.5.9 |
| Show1 Set | Since: containers-0.5.9 |
| Show1 Hashed | |
| Show1 Array | Since: primitive-0.6.4.0 |
| Show a => Show1 (Either a) | Since: base-4.9.0.0 |
| Show a => Show1 ((,) a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Show1 (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
| Show k => Show1 (Map k) | Since: containers-0.5.9 |
| Show1 m => Show1 (MaybeT m) | |
| Show1 m => Show1 (ListT m) | |
| Show a => Show1 (Const a :: Type -> Type) | Since: base-4.9.0.0 |
| Show1 f => Show1 (IdentityT f) | |
| (Show e, Show1 m) => Show1 (ExceptT e m) | |
| (Show e, Show1 m) => Show1 (ErrorT e m) | |
| (Show w, Show1 m) => Show1 (WriterT w m) | |
| (Show w, Show1 m) => Show1 (WriterT w m) | |
| (Show1 f, Show1 g) => Show1 (Product f g) | Since: base-4.9.0.0 |
| (Show1 f, Show1 g) => Show1 (Sum f g) | Since: base-4.9.0.0 |
| (Show1 f, Show1 g) => Show1 (Compose f g) | Since: base-4.9.0.0 |
class Eq2 (f :: Type -> Type -> Type) where #
Lifting of the Eq class to binary type constructors.
Since: base-4.9.0.0
Methods
liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> f a c -> f b d -> Bool #
Lift equality tests through the type constructor.
The function will usually be applied to equality functions, but the more general type ensures that the implementation uses them to compare elements of the first container with elements of the second.
Since: base-4.9.0.0
class Eq2 f => Ord2 (f :: Type -> Type -> Type) where #
Lifting of the Ord class to binary type constructors.
Since: base-4.9.0.0
Methods
liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> f a c -> f b d -> Ordering #
Lift compare functions through the type constructor.
The function will usually be applied to comparison functions, but the more general type ensures that the implementation uses them to compare elements of the first container with elements of the second.
Since: base-4.9.0.0
Instances
| Ord2 Either | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Ord2 (,) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> (a, c) -> (b, d) -> Ordering # | |
| Ord2 Map | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| Ord2 (Const :: Type -> Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
class Read2 (f :: Type -> Type -> Type) where #
Lifting of the Read class to binary type constructors.
Both liftReadsPrec2 and liftReadPrec2 exist to match the interface
provided in the Read type class, but it is recommended to implement
Read2 instances using liftReadPrec2 as opposed to liftReadsPrec2,
since the former is more efficient than the latter. For example:
instanceRead2T whereliftReadPrec2= ...liftReadListPrec2=liftReadListPrec2Default
For more information, refer to the documentation for the Read class.
@since 4.9.0.0
Minimal complete definition
Methods
liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (f a b) #
readsPrec function for an application of the type constructor
based on readsPrec and readList functions for the argument types.
Since: base-4.9.0.0
liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b] #
readList function for an application of the type constructor
based on readsPrec and readList functions for the argument types.
The default implementation using standard list syntax is correct
for most types.
Since: base-4.9.0.0
liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b) #
readPrec function for an application of the type constructor
based on readPrec and readListPrec functions for the argument types.
Since: base-4.10.0.0
liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b] #
readListPrec function for an application of the type constructor
based on readPrec and readListPrec functions for the argument types.
The default definition uses liftReadList2. Instances that define
liftReadPrec2 should also define liftReadListPrec2 as
liftReadListPrec2Default.
Since: base-4.10.0.0
Instances
class Show2 (f :: Type -> Type -> Type) where #
Lifting of the Show class to binary type constructors.
Since: base-4.9.0.0
Minimal complete definition
Methods
liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> f a b -> ShowS #
showsPrec function for an application of the type constructor
based on showsPrec and showList functions for the argument types.
Since: base-4.9.0.0
liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [f a b] -> ShowS #
class Monad m => MonadIO (m :: Type -> Type) where #
Monads in which IO computations may be embedded.
Any monad built by applying a sequence of monad transformers to the
IO monad will be an instance of this class.
Instances should satisfy the following laws, which state that liftIO
is a transformer of monads:
Instances
class Category a => Arrow (a :: Type -> Type -> Type) #
The basic arrow class.
Instances should satisfy the following laws:
arrid =idarr(f >>> g) =arrf >>>arrgfirst(arrf) =arr(firstf)first(f >>> g) =firstf >>>firstgfirstf >>>arrfst=arrfst>>> ffirstf >>>arr(id*** g) =arr(id*** g) >>>firstffirst(firstf) >>>arrassoc=arrassoc>>>firstf
where
assoc ((a,b),c) = (a,(b,c))
The other combinators have sensible default definitions, which may be overridden for efficiency.
class ArrowZero a => ArrowPlus (a :: Type -> Type -> Type) #
A monoid on arrows.
Minimal complete definition
class Arrow a => ArrowChoice (a :: Type -> Type -> Type) #
Choice, for arrows that support it. This class underlies the
if and case constructs in arrow notation.
Instances should satisfy the following laws:
left(arrf) =arr(leftf)left(f >>> g) =leftf >>>leftgf >>>
arrLeft=arrLeft>>>leftfleftf >>>arr(id+++ g) =arr(id+++ g) >>>leftfleft(leftf) >>>arrassocsum=arrassocsum>>>leftf
where
assocsum (Left (Left x)) = Left x assocsum (Left (Right y)) = Right (Left y) assocsum (Right z) = Right (Right z)
The other combinators have sensible default definitions, which may be overridden for efficiency.
Instances
| Monad m => ArrowChoice (Kleisli m) | Since: base-2.1 |
Defined in Control.Arrow | |
| ArrowChoice ((->) :: Type -> Type -> Type) | Since: base-2.1 |
class Arrow a => ArrowApply (a :: Type -> Type -> Type) #
Some arrows allow application of arrow inputs to other inputs. Instances should satisfy the following laws:
first(arr(\x ->arr(\y -> (x,y)))) >>>app=idfirst(arr(g >>>)) >>>app=secondg >>>appfirst(arr(>>> h)) >>>app=app>>> h
Such arrows are equivalent to monads (see ArrowMonad).
Minimal complete definition
Instances
| Monad m => ArrowApply (Kleisli m) | Since: base-2.1 |
Defined in Control.Arrow | |
| ArrowApply ((->) :: Type -> Type -> Type) | Since: base-2.1 |
Defined in Control.Arrow | |
class Arrow a => ArrowLoop (a :: Type -> Type -> Type) #
The loop operator expresses computations in which an output value
is fed back as input, although the computation occurs only once.
It underlies the rec value recursion construct in arrow notation.
loop should satisfy the following laws:
- extension
loop(arrf) =arr(\ b ->fst(fix(\ (c,d) -> f (b,d))))- left tightening
loop(firsth >>> f) = h >>>loopf- right tightening
loop(f >>>firsth) =loopf >>> h- sliding
loop(f >>>arr(id*** k)) =loop(arr(id*** k) >>> f)- vanishing
loop(loopf) =loop(arrunassoc >>> f >>>arrassoc)- superposing
second(loopf) =loop(arrassoc >>>secondf >>>arrunassoc)
where
assoc ((a,b),c) = (a,(b,c)) unassoc (a,(b,c)) = ((a,b),c)
Minimal complete definition
Instances
| MonadFix m => ArrowLoop (Kleisli m) | Beware that for many monads (those for which the Since: base-2.1 |
Defined in Control.Arrow | |
| ArrowLoop ((->) :: Type -> Type -> Type) | Since: base-2.1 |
Defined in Control.Arrow | |
class (Typeable e, Show e) => Exception e where #
Any type that you wish to throw or catch as an exception must be an
instance of the Exception class. The simplest case is a new exception
type directly below the root:
data MyException = ThisException | ThatException
deriving Show
instance Exception MyExceptionThe default method definitions in the Exception class do what we need
in this case. You can now throw and catch ThisException and
ThatException as exceptions:
*Main> throw ThisException `catch` \e -> putStrLn ("Caught " ++ show (e :: MyException))
Caught ThisException
In more complicated examples, you may wish to define a whole hierarchy of exceptions:
---------------------------------------------------------------------
-- Make the root exception type for all the exceptions in a compiler
data SomeCompilerException = forall e . Exception e => SomeCompilerException e
instance Show SomeCompilerException where
show (SomeCompilerException e) = show e
instance Exception SomeCompilerException
compilerExceptionToException :: Exception e => e -> SomeException
compilerExceptionToException = toException . SomeCompilerException
compilerExceptionFromException :: Exception e => SomeException -> Maybe e
compilerExceptionFromException x = do
SomeCompilerException a <- fromException x
cast a
---------------------------------------------------------------------
-- Make a subhierarchy for exceptions in the frontend of the compiler
data SomeFrontendException = forall e . Exception e => SomeFrontendException e
instance Show SomeFrontendException where
show (SomeFrontendException e) = show e
instance Exception SomeFrontendException where
toException = compilerExceptionToException
fromException = compilerExceptionFromException
frontendExceptionToException :: Exception e => e -> SomeException
frontendExceptionToException = toException . SomeFrontendException
frontendExceptionFromException :: Exception e => SomeException -> Maybe e
frontendExceptionFromException x = do
SomeFrontendException a <- fromException x
cast a
---------------------------------------------------------------------
-- Make an exception type for a particular frontend compiler exception
data MismatchedParentheses = MismatchedParentheses
deriving Show
instance Exception MismatchedParentheses where
toException = frontendExceptionToException
fromException = frontendExceptionFromExceptionWe can now catch a MismatchedParentheses exception as
MismatchedParentheses, SomeFrontendException or
SomeCompilerException, but not other types, e.g. IOException:
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: MismatchedParentheses))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeFrontendException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeCompilerException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: IOException))
*** Exception: MismatchedParentheses
Minimal complete definition
Nothing
Methods
toException :: e -> SomeException #
fromException :: SomeException -> Maybe e #
displayException :: e -> String #
Render this exception value in a human-friendly manner.
Default implementation: .show
Since: base-4.8.0.0
Instances
class Category (cat :: k -> k -> Type) #
A class for categories. Instances should satisfy the laws
f.id= f -- (right identity)id.f = f -- (left identity) f.(g.h) = (f.g).h -- (associativity)
Instances
| Category (Coercion :: k -> k -> Type) | Since: base-4.7.0.0 |
| Category ((:~:) :: k -> k -> Type) | Since: base-4.7.0.0 |
| Category ((:~~:) :: k -> k -> Type) | Since: base-4.10.0.0 |
| Category Op | |
| Monad m => Category (Kleisli m :: Type -> Type -> Type) | Since: base-3.0 |
| (Applicative f, Monad f) => Category (WhenMissing f :: Type -> Type -> Type) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods id :: WhenMissing f a a # (.) :: WhenMissing f b c -> WhenMissing f a b -> WhenMissing f a c # | |
| Category ((->) :: Type -> Type -> Type) | Since: base-3.0 |
Defined in Control.Category | |
| (Monad f, Applicative f) => Category (WhenMatched f x :: Type -> Type -> Type) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods id :: WhenMatched f x a a # (.) :: WhenMatched f x b c -> WhenMatched f x a b -> WhenMatched f x a c # | |
| (Applicative f, Monad f) => Category (WhenMissing f k :: Type -> Type -> Type) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods id :: WhenMissing f k a a # (.) :: WhenMissing f k b c -> WhenMissing f k a b -> WhenMissing f k a c # | |
| (Monad f, Applicative f) => Category (WhenMatched f k x :: Type -> Type -> Type) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods id :: WhenMatched f k x a a # (.) :: WhenMatched f k x b c -> WhenMatched f k x a b -> WhenMatched f k x a c # | |
The member functions of this class facilitate writing values of primitive types to raw memory (which may have been allocated with the above mentioned routines) and reading values from blocks of raw memory. The class, furthermore, includes support for computing the storage requirements and alignment restrictions of storable types.
Memory addresses are represented as values of type , for some
Ptr aa which is an instance of class Storable. The type argument to
Ptr helps provide some valuable type safety in FFI code (you can't
mix pointers of different types without an explicit cast), while
helping the Haskell type system figure out which marshalling method is
needed for a given pointer.
All marshalling between Haskell and a foreign language ultimately
boils down to translating Haskell data structures into the binary
representation of a corresponding data structure of the foreign
language and vice versa. To code this marshalling in Haskell, it is
necessary to manipulate primitive data types stored in unstructured
memory blocks. The class Storable facilitates this manipulation on
all types for which it is instantiated, which are the standard basic
types of Haskell, the fixed size Int types (Int8, Int16,
Int32, Int64), the fixed size Word types (Word8, Word16,
Word32, Word64), StablePtr, all types from Foreign.C.Types,
as well as Ptr.
Minimal complete definition
sizeOf, alignment, (peek | peekElemOff | peekByteOff), (poke | pokeElemOff | pokeByteOff)
Methods
Computes the storage requirements (in bytes) of the argument. The value of the argument is not used.
Computes the alignment constraint of the argument. An
alignment constraint x is fulfilled by any address divisible
by x. The value of the argument is not used.
peekElemOff :: Ptr a -> Int -> IO a #
Read a value from a memory area regarded as an array
of values of the same kind. The first argument specifies
the start address of the array and the second the index into
the array (the first element of the array has index
0). The following equality holds,
peekElemOff addr idx = IOExts.fixIO $ \result -> peek (addr `plusPtr` (idx * sizeOf result))
Note that this is only a specification, not necessarily the concrete implementation of the function.
pokeElemOff :: Ptr a -> Int -> a -> IO () #
Write a value to a memory area regarded as an array of values of the same kind. The following equality holds:
pokeElemOff addr idx x = poke (addr `plusPtr` (idx * sizeOf x)) x
peekByteOff :: Ptr b -> Int -> IO a #
Read a value from a memory location given by a base address and offset. The following equality holds:
peekByteOff addr off = peek (addr `plusPtr` off)
pokeByteOff :: Ptr b -> Int -> a -> IO () #
Write a value to a memory location given by a base address and offset. The following equality holds:
pokeByteOff addr off x = poke (addr `plusPtr` off) x
Read a value from the given memory location.
Note that the peek and poke functions might require properly
aligned addresses to function correctly. This is architecture
dependent; thus, portable code should ensure that when peeking or
poking values of some type a, the alignment
constraint for a, as given by the function
alignment is fulfilled.
Write the given value to the given memory location. Alignment
restrictions might apply; see peek.
Instances
readS_to_P :: ReadS a -> ReadP a #
Converts a Haskell ReadS-style function into a parser. Warning: This introduces local backtracking in the resulting parser, and therefore a possible inefficiency.
readP_to_S :: ReadP a -> ReadS a #
Converts a parser into a Haskell ReadS-style function.
This is the main way in which you can "run" a ReadP parser:
the expanded type is
readP_to_S :: ReadP a -> String -> [(a,String)]
Instances
| Monad ReadP | Since: base-2.1 |
| Functor ReadP | Since: base-2.1 |
| MonadFail ReadP | Since: base-4.9.0.0 |
Defined in Text.ParserCombinators.ReadP | |
| Applicative ReadP | Since: base-4.6.0.0 |
| Alternative ReadP | Since: base-4.6.0.0 |
| MonadPlus ReadP | Since: base-2.1 |
The Bits class defines bitwise operations over integral types.
- Bits are numbered from 0 with bit 0 being the least significant bit.
Minimal complete definition
(.&.), (.|.), xor, complement, (shift | shiftL, shiftR), (rotate | rotateL, rotateR), bitSize, bitSizeMaybe, isSigned, testBit, bit, popCount
Methods
(.&.) :: a -> a -> a infixl 7 #
Bitwise "and"
(.|.) :: a -> a -> a infixl 5 #
Bitwise "or"
Bitwise "xor"
complement :: a -> a #
Reverse all the bits in the argument
shift :: a -> Int -> a infixl 8 #
shifts shift x ix left by i bits if i is positive,
or right by -i bits otherwise.
Right shifts perform sign extension on signed number types;
i.e. they fill the top bits with 1 if the x is negative
and with 0 otherwise.
An instance can define either this unified shift or shiftL and
shiftR, depending on which is more convenient for the type in
question.
rotate :: a -> Int -> a infixl 8 #
rotates rotate x ix left by i bits if i is positive,
or right by -i bits otherwise.
For unbounded types like Integer, rotate is equivalent to shift.
An instance can define either this unified rotate or rotateL and
rotateR, depending on which is more convenient for the type in
question.
zeroBits is the value with all bits unset.
The following laws ought to hold (for all valid bit indices n):
clearBitzeroBitsn ==zeroBitssetBitzeroBitsn ==bitntestBitzeroBitsn == FalsepopCountzeroBits== 0
This method uses as its default
implementation (which ought to be equivalent to clearBit (bit 0) 0zeroBits for
types which possess a 0th bit).
Since: base-4.7.0.0
bit i is a value with the ith bit set and all other bits clear.
Can be implemented using bitDefault if a is also an
instance of Num.
See also zeroBits.
x `setBit` i is the same as x .|. bit i
x `clearBit` i is the same as x .&. complement (bit i)
complementBit :: a -> Int -> a #
x `complementBit` i is the same as x `xor` bit i
Return True if the nth bit of the argument is 1
Can be implemented using testBitDefault if a is also an
instance of Num.
bitSizeMaybe :: a -> Maybe Int #
Return the number of bits in the type of the argument. The actual
value of the argument is ignored. Returns Nothing
for types that do not have a fixed bitsize, like Integer.
Since: base-4.7.0.0
Return the number of bits in the type of the argument. The actual
value of the argument is ignored. The function bitSize is
undefined for types that do not have a fixed bitsize, like Integer.
Default implementation based upon bitSizeMaybe provided since
4.12.0.0.
Return True if the argument is a signed type. The actual
value of the argument is ignored
shiftL :: a -> Int -> a infixl 8 #
Shift the argument left by the specified number of bits (which must be non-negative).
An instance can define either this and shiftR or the unified
shift, depending on which is more convenient for the type in
question.
unsafeShiftL :: a -> Int -> a #
Shift the argument left by the specified number of bits. The
result is undefined for negative shift amounts and shift amounts
greater or equal to the bitSize.
Defaults to shiftL unless defined explicitly by an instance.
Since: base-4.5.0.0
shiftR :: a -> Int -> a infixl 8 #
Shift the first argument right by the specified number of bits. The
result is undefined for negative shift amounts and shift amounts
greater or equal to the bitSize.
Right shifts perform sign extension on signed number types;
i.e. they fill the top bits with 1 if the x is negative
and with 0 otherwise.
An instance can define either this and shiftL or the unified
shift, depending on which is more convenient for the type in
question.
unsafeShiftR :: a -> Int -> a #
Shift the first argument right by the specified number of bits, which must be non-negative and smaller than the number of bits in the type.
Right shifts perform sign extension on signed number types;
i.e. they fill the top bits with 1 if the x is negative
and with 0 otherwise.
Defaults to shiftR unless defined explicitly by an instance.
Since: base-4.5.0.0
rotateL :: a -> Int -> a infixl 8 #
Rotate the argument left by the specified number of bits (which must be non-negative).
An instance can define either this and rotateR or the unified
rotate, depending on which is more convenient for the type in
question.
rotateR :: a -> Int -> a infixl 8 #
Rotate the argument right by the specified number of bits (which must be non-negative).
An instance can define either this and rotateL or the unified
rotate, depending on which is more convenient for the type in
question.
Return the number of set bits in the argument. This number is known as the population count or the Hamming weight.
Can be implemented using popCountDefault if a is also an
instance of Num.
Since: base-4.5.0.0
Instances
class Bits b => FiniteBits b where #
The FiniteBits class denotes types with a finite, fixed number of bits.
Since: base-4.7.0.0
Minimal complete definition
Methods
finiteBitSize :: b -> Int #
Return the number of bits in the type of the argument.
The actual value of the argument is ignored. Moreover, finiteBitSize
is total, in contrast to the deprecated bitSize function it replaces.
finiteBitSize=bitSizebitSizeMaybe=Just.finiteBitSize
Since: base-4.7.0.0
countLeadingZeros :: b -> Int #
Count number of zero bits preceding the most significant set bit.
countLeadingZeros(zeroBits:: a) = finiteBitSize (zeroBits:: a)
countLeadingZeros can be used to compute log base 2 via
logBase2 x =finiteBitSizex - 1 -countLeadingZerosx
Note: The default implementation for this method is intentionally naive. However, the instances provided for the primitive integral types are implemented using CPU specific machine instructions.
Since: base-4.8.0.0
countTrailingZeros :: b -> Int #
Count number of zero bits following the least significant set bit.
countTrailingZeros(zeroBits:: a) = finiteBitSize (zeroBits:: a)countTrailingZeros.negate=countTrailingZeros
The related
find-first-set operation
can be expressed in terms of countTrailingZeros as follows
findFirstSet x = 1 + countTrailingZeros x
Note: The default implementation for this method is intentionally naive. However, the instances provided for the primitive integral types are implemented using CPU specific machine instructions.
Since: base-4.8.0.0
Instances
A class for types with a default value.
Minimal complete definition
Nothing
Instances
rnf2 :: (NFData2 p, NFData a, NFData b) => p a b -> () #
Lift the standard rnf function through the type constructor.
Since: deepseq-1.4.3.0
rnf1 :: (NFData1 f, NFData a) => f a -> () #
Lift the standard rnf function through the type constructor.
Since: deepseq-1.4.3.0
A class of types that can be fully evaluated.
Since: deepseq-1.1.0.0
Minimal complete definition
Nothing
Methods
rnf should reduce its argument to normal form (that is, fully
evaluate all sub-components), and then return '()'.
Generic NFData deriving
Starting with GHC 7.2, you can automatically derive instances
for types possessing a Generic instance.
Note: Generic1 can be auto-derived starting with GHC 7.4
{-# LANGUAGE DeriveGeneric #-}
import GHC.Generics (Generic, Generic1)
import Control.DeepSeq
data Foo a = Foo a String
deriving (Eq, Generic, Generic1)
instance NFData a => NFData (Foo a)
instance NFData1 Foo
data Colour = Red | Green | Blue
deriving Generic
instance NFData ColourStarting with GHC 7.10, the example above can be written more
concisely by enabling the new DeriveAnyClass extension:
{-# LANGUAGE DeriveGeneric, DeriveAnyClass #-}
import GHC.Generics (Generic)
import Control.DeepSeq
data Foo a = Foo a String
deriving (Eq, Generic, Generic1, NFData, NFData1)
data Colour = Red | Green | Blue
deriving (Generic, NFData)
Compatibility with previous deepseq versions
Prior to version 1.4.0.0, the default implementation of the rnf
method was defined as
rnfa =seqa ()
However, starting with deepseq-1.4.0.0, the default
implementation is based on DefaultSignatures allowing for
more accurate auto-derived NFData instances. If you need the
previously used exact default rnf method implementation
semantics, use
instance NFData Colour where rnf x = seq x ()
or alternatively
instance NFData Colour where rnf = rwhnf
or
{-# LANGUAGE BangPatterns #-}
instance NFData Colour where rnf !_ = ()Instances
class NFData1 (f :: Type -> Type) where #
A class of functors that can be fully evaluated.
Since: deepseq-1.4.3.0
Minimal complete definition
Nothing
Methods
Instances
| NFData1 [] | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Maybe | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Ratio | Available on Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Ptr | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 FunPtr | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Fixed | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Min | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Max | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 First | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Last | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 WrappedMonoid | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> WrappedMonoid a -> () # | |
| NFData1 Option | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 StableName | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> StableName a -> () # | |
| NFData1 ZipList | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Identity | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 IORef | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 First | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Last | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Dual | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Sum | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Product | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 Down | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 MVar | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 NonEmpty | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData1 (Either a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData1 ((,) a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData1 (Array a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData1 (Arg a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 (Proxy :: Type -> Type) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 (STRef s) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2) => NFData1 ((,,) a1 a2) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData1 (Const a :: Type -> Type) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 ((:~:) a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3) => NFData1 ((,,,) a1 a2 a3) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData1 f, NFData1 g) => NFData1 (Product f g) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData1 f, NFData1 g) => NFData1 (Sum f g) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData1 ((:~~:) a :: Type -> Type) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4) => NFData1 ((,,,,) a1 a2 a3 a4) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData1 f, NFData1 g) => NFData1 (Compose f g) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData1 ((,,,,,) a1 a2 a3 a4 a5) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData1 ((,,,,,,) a1 a2 a3 a4 a5 a6) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData1 ((,,,,,,,) a1 a2 a3 a4 a5 a6 a7) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8) => NFData1 ((,,,,,,,,) a1 a2 a3 a4 a5 a6 a7 a8) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
class NFData2 (p :: Type -> Type -> Type) where #
A class of bifunctors that can be fully evaluated.
Since: deepseq-1.4.3.0
Methods
Instances
| NFData2 Either | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData2 (,) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData2 Array | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData2 Arg | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData2 STRef | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData a1 => NFData2 ((,,) a1) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData2 (Const :: Type -> Type -> Type) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData2 ((:~:) :: Type -> Type -> Type) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2) => NFData2 ((,,,) a1 a2) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData2 ((:~~:) :: Type -> Type -> Type) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3) => NFData2 ((,,,,) a1 a2 a3) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4) => NFData2 ((,,,,,) a1 a2 a3 a4) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData2 ((,,,,,,) a1 a2 a3 a4 a5) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData2 ((,,,,,,,) a1 a2 a3 a4 a5 a6) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData2 ((,,,,,,,,) a1 a2 a3 a4 a5 a6 a7) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
class Monad m => MonadThrow (m :: Type -> Type) where #
A class for monads in which exceptions may be thrown.
Instances should obey the following law:
throwM e >> x = throwM e
In other words, throwing an exception short-circuits the rest of the monadic computation.
Methods
throwM :: Exception e => e -> m a #
Throw an exception. Note that this throws when this action is run in
the monad m, not when it is applied. It is a generalization of
Control.Exception's throwIO.
Should satisfy the law:
throwM e >> f = throwM e
Instances
class MonadThrow m => MonadCatch (m :: Type -> Type) where #
A class for monads which allow exceptions to be caught, in particular
exceptions which were thrown by throwM.
Instances should obey the following law:
catch (throwM e) f = f e
Note that the ability to catch an exception does not guarantee that we can
deal with all possible exit points from a computation. Some monads, such as
continuation-based stacks, allow for more than just a success/failure
strategy, and therefore catch cannot be used by those monads to properly
implement a function such as finally. For more information, see
MonadMask.
Methods
catch :: Exception e => m a -> (e -> m a) -> m a #
Provide a handler for exceptions thrown during execution of the first
action. Note that type of the type of the argument to the handler will
constrain which exceptions are caught. See Control.Exception's
catch.
Instances
| MonadCatch IO | |
| MonadCatch STM | |
| e ~ SomeException => MonadCatch (Either e) | Since: exceptions-0.8.3 |
| MonadCatch m => MonadCatch (MaybeT m) | Catches exceptions from the base monad. |
| MonadCatch m => MonadCatch (ListT m) | |
| MonadCatch m => MonadCatch (IdentityT m) | |
| MonadCatch m => MonadCatch (ExceptT e m) | Catches exceptions from the base monad. |
| (Error e, MonadCatch m) => MonadCatch (ErrorT e m) | Catches exceptions from the base monad. |
| MonadCatch m => MonadCatch (StateT s m) | |
| MonadCatch m => MonadCatch (StateT s m) | |
| (MonadCatch m, Monoid w) => MonadCatch (WriterT w m) | |
| (MonadCatch m, Monoid w) => MonadCatch (WriterT w m) | |
| MonadCatch m => MonadCatch (ReaderT r m) | |
| (MonadCatch m, Monoid w) => MonadCatch (RWST r w s m) | |
| (MonadCatch m, Monoid w) => MonadCatch (RWST r w s m) | |
class MonadCatch m => MonadMask (m :: Type -> Type) where #
A class for monads which provide for the ability to account for all possible exit points from a computation, and to mask asynchronous exceptions. Continuation-based monads are invalid instances of this class.
Instances should ensure that, in the following code:
fg = f `finally` g
The action g is called regardless of what occurs within f, including
async exceptions. Some monads allow f to abort the computation via other
effects than throwing an exception. For simplicity, we will consider aborting
and throwing an exception to be two forms of "throwing an error".
If f and g both throw an error, the error thrown by fg depends on which
errors we're talking about. In a monad transformer stack, the deeper layers
override the effects of the inner layers; for example, ExceptT e1 (Except
e2) a represents a value of type Either e2 (Either e1 a), so throwing both
an e1 and an e2 will result in Left e2. If f and g both throw an
error from the same layer, instances should ensure that the error from g
wins.
Effects other than throwing an error are also overriden by the deeper layers.
For example, StateT s Maybe a represents a value of type s -> Maybe (a,
s), so if an error thrown from f causes this function to return Nothing,
any changes to the state which f also performed will be erased. As a
result, g will see the state as it was before f. Once g completes,
f's error will be rethrown, so g' state changes will be erased as well.
This is the normal interaction between effects in a monad transformer stack.
By contrast, lifted-base's
version of finally always discards all of g's non-IO effects, and g
never sees any of f's non-IO effects, regardless of the layer ordering and
regardless of whether f throws an error. This is not the result of
interacting effects, but a consequence of MonadBaseControl's approach.
Methods
mask :: ((forall a. m a -> m a) -> m b) -> m b #
Runs an action with asynchronous exceptions disabled. The action is
provided a method for restoring the async. environment to what it was
at the mask call. See Control.Exception's mask.
uninterruptibleMask :: ((forall a. m a -> m a) -> m b) -> m b #
Like mask, but the masked computation is not interruptible (see
Control.Exception's uninterruptibleMask. WARNING:
Only use if you need to mask exceptions around an interruptible operation
AND you can guarantee the interruptible operation will only block for a
short period of time. Otherwise you render the program/thread unresponsive
and/or unkillable.
Arguments
| :: m a | acquire some resource |
| -> (a -> ExitCase b -> m c) | release the resource, observing the outcome of the inner action |
| -> (a -> m b) | inner action to perform with the resource |
| -> m (b, c) |
A generalized version of bracket which uses ExitCase to distinguish
the different exit cases, and returns the values of both the use and
release actions. In practice, this extra information is rarely needed,
so it is often more convenient to use one of the simpler functions which
are defined in terms of this one, such as bracket, finally, onError,
and bracketOnError.
This function exists because in order to thread their effects through the
execution of bracket, monad transformers need values to be threaded from
use to release and from release to the output value.
NOTE This method was added in version 0.9.0 of this
library. Previously, implementation of functions like bracket
and finally in this module were based on the mask and
uninterruptibleMask functions only, disallowing some classes of
tranformers from having MonadMask instances (notably
multi-exit-point transformers like ExceptT). If you are a
library author, you'll now need to provide an implementation for
this method. The StateT implementation demonstrates most of the
subtleties:
generalBracket acquire release use = StateT $ s0 -> do
((b, _s2), (c, s3)) <- generalBracket
(runStateT acquire s0)
((resource, s1) exitCase -> case exitCase of
ExitCaseSuccess (b, s2) -> runStateT (release resource (ExitCaseSuccess b)) s2
-- In the two other cases, the base monad overrides use's state
-- changes and the state reverts to s1.
ExitCaseException e -> runStateT (release resource (ExitCaseException e)) s1
ExitCaseAbort -> runStateT (release resource ExitCaseAbort) s1
)
((resource, s1) -> runStateT (use resource) s1)
return ((b, c), s3)
The StateT s m implementation of generalBracket delegates to the m
implementation of generalBracket. The acquire, use, and release
arguments given to StateT's implementation produce actions of type
StateT s m a, StateT s m b, and StateT s m c. In order to run those
actions in the base monad, we need to call runStateT, from which we
obtain actions of type m (a, s), m (b, s), and m (c, s). Since each
action produces the next state, it is important to feed the state produced
by the previous action to the next action.
In the ExitCaseSuccess case, the state starts at s0, flows through
acquire to become s1, flows through use to become s2, and finally
flows through release to become s3. In the other two cases, release
does not receive the value s2, so its action cannot see the state changes
performed by use. This is fine, because in those two cases, an error was
thrown in the base monad, so as per the usual interaction between effects
in a monad transformer stack, those state changes get reverted. So we start
from s1 instead.
Finally, the m implementation of generalBracket returns the pairs
(b, s) and (c, s). For monad transformers other than StateT, this
will be some other type representing the effects and values performed and
returned by the use and release actions. The effect part of the use
result, in this case _s2, usually needs to be discarded, since those
effects have already been incorporated in the release action.
The only effect which is intentionally not incorporated in the release
action is the effect of throwing an error. In that case, the error must be
re-thrown. One subtlety which is easy to miss is that in the case in which
use and release both throw an error, the error from release should
take priority. Here is an implementation for ExceptT which demonstrates
how to do this.
generalBracket acquire release use = ExceptT $ do
(eb, ec) <- generalBracket
(runExceptT acquire)
(eresource exitCase -> case eresource of
Left e -> return (Left e) -- nothing to release, acquire didn't succeed
Right resource -> case exitCase of
ExitCaseSuccess (Right b) -> runExceptT (release resource (ExitCaseSuccess b))
ExitCaseException e -> runExceptT (release resource (ExitCaseException e))
_ -> runExceptT (release resource ExitCaseAbort))
(either (return . Left) (runExceptT . use))
return $ do
-- The order in which we perform those two Either effects determines
-- which error will win if they are both Lefts. We want the error from
-- release to win.
c <- ec
b <- eb
return (b, c)
Since: exceptions-0.9.0
Instances
| MonadMask IO | |
| e ~ SomeException => MonadMask (Either e) | Since: exceptions-0.8.3 |
Defined in Control.Monad.Catch | |
| MonadMask m => MonadMask (MaybeT m) | Since: exceptions-0.10.0 |
Defined in Control.Monad.Catch | |
| MonadMask m => MonadMask (IdentityT m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. IdentityT m a -> IdentityT m a) -> IdentityT m b) -> IdentityT m b # uninterruptibleMask :: ((forall a. IdentityT m a -> IdentityT m a) -> IdentityT m b) -> IdentityT m b # generalBracket :: IdentityT m a -> (a -> ExitCase b -> IdentityT m c) -> (a -> IdentityT m b) -> IdentityT m (b, c) # | |
| MonadMask m => MonadMask (ExceptT e m) | Since: exceptions-0.9.0 |
Defined in Control.Monad.Catch Methods mask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b # uninterruptibleMask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b # generalBracket :: ExceptT e m a -> (a -> ExitCase b -> ExceptT e m c) -> (a -> ExceptT e m b) -> ExceptT e m (b, c) # | |
| (Error e, MonadMask m) => MonadMask (ErrorT e m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. ErrorT e m a -> ErrorT e m a) -> ErrorT e m b) -> ErrorT e m b # uninterruptibleMask :: ((forall a. ErrorT e m a -> ErrorT e m a) -> ErrorT e m b) -> ErrorT e m b # generalBracket :: ErrorT e m a -> (a -> ExitCase b -> ErrorT e m c) -> (a -> ErrorT e m b) -> ErrorT e m (b, c) # | |
| MonadMask m => MonadMask (StateT s m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # uninterruptibleMask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # generalBracket :: StateT s m a -> (a -> ExitCase b -> StateT s m c) -> (a -> StateT s m b) -> StateT s m (b, c) # | |
| MonadMask m => MonadMask (StateT s m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # uninterruptibleMask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # generalBracket :: StateT s m a -> (a -> ExitCase b -> StateT s m c) -> (a -> StateT s m b) -> StateT s m (b, c) # | |
| (MonadMask m, Monoid w) => MonadMask (WriterT w m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b # uninterruptibleMask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b # generalBracket :: WriterT w m a -> (a -> ExitCase b -> WriterT w m c) -> (a -> WriterT w m b) -> WriterT w m (b, c) # | |
| (MonadMask m, Monoid w) => MonadMask (WriterT w m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b # uninterruptibleMask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b # generalBracket :: WriterT w m a -> (a -> ExitCase b -> WriterT w m c) -> (a -> WriterT w m b) -> WriterT w m (b, c) # | |
| MonadMask m => MonadMask (ReaderT r m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b # uninterruptibleMask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b # generalBracket :: ReaderT r m a -> (a -> ExitCase b -> ReaderT r m c) -> (a -> ReaderT r m b) -> ReaderT r m (b, c) # | |
| (MonadMask m, Monoid w) => MonadMask (RWST r w s m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b # uninterruptibleMask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b # generalBracket :: RWST r w s m a -> (a -> ExitCase b -> RWST r w s m c) -> (a -> RWST r w s m b) -> RWST r w s m (b, c) # | |
| (MonadMask m, Monoid w) => MonadMask (RWST r w s m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b # uninterruptibleMask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b # generalBracket :: RWST r w s m a -> (a -> ExitCase b -> RWST r w s m c) -> (a -> RWST r w s m b) -> RWST r w s m (b, c) # | |
Minimal complete definition
Nothing
Instances
Transform a value into a Hashable value, then hash the
transformed value using the given salt.
This is a useful shorthand in cases where a type can easily be
mapped to another type that is already an instance of Hashable.
Example:
data Foo = Foo | Bar
deriving (Enum)
instance Hashable Foo where
hashWithSalt = hashUsing fromEnumhashWithSalt2 :: (Hashable2 f, Hashable a, Hashable b) => Int -> f a b -> Int #
Lift the hashWithSalt function through the type constructor.
hashWithSalt2 = liftHashWithSalt2 hashWithSalt hashWithSalt
hashWithSalt1 :: (Hashable1 f, Hashable a) => Int -> f a -> Int #
Lift the hashWithSalt function through the type constructor.
hashWithSalt1 = liftHashWithSalt hashWithSalt
The class of types that can be converted to a hash value.
Minimal implementation: hashWithSalt.
Minimal complete definition
Nothing
Methods
hashWithSalt :: Int -> a -> Int infixl 0 #
Return a hash value for the argument, using the given salt.
The general contract of hashWithSalt is:
- If two values are equal according to the
==method, then applying thehashWithSaltmethod on each of the two values must produce the same integer result if the same salt is used in each case. - It is not required that if two values are unequal
according to the
==method, then applying thehashWithSaltmethod on each of the two values must produce distinct integer results. However, the programmer should be aware that producing distinct integer results for unequal values may improve the performance of hashing-based data structures. - This method can be used to compute different hash values for
the same input by providing a different salt in each
application of the method. This implies that any instance
that defines
hashWithSaltmust make use of the salt in its implementation.
Like hashWithSalt, but no salt is used. The default
implementation uses hashWithSalt with some default salt.
Instances might want to implement this method to provide a more
efficient implementation than the default implementation.
Instances
class Hashable1 (t :: Type -> Type) where #
Minimal complete definition
Nothing
Methods
liftHashWithSalt :: (Int -> a -> Int) -> Int -> t a -> Int #
Lift a hashing function through the type constructor.
Instances
class Hashable2 (t :: Type -> Type -> Type) where #
Methods
liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> t a b -> Int #
Lift a hashing function through the binary type constructor.
Instances
| Hashable2 Either | |
Defined in Data.Hashable.Class | |
| Hashable2 (,) | |
Defined in Data.Hashable.Class | |
| Hashable a1 => Hashable2 ((,,) a1) | |
Defined in Data.Hashable.Class | |
| Hashable2 (Const :: Type -> Type -> Type) | |
Defined in Data.Hashable.Class | |
| (Hashable a1, Hashable a2) => Hashable2 ((,,,) a1 a2) | |
Defined in Data.Hashable.Class | |
| (Hashable a1, Hashable a2, Hashable a3) => Hashable2 ((,,,,) a1 a2 a3) | |
Defined in Data.Hashable.Class | |
| (Hashable a1, Hashable a2, Hashable a3, Hashable a4) => Hashable2 ((,,,,,) a1 a2 a3 a4) | |
Defined in Data.Hashable.Class | |
| (Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5) => Hashable2 ((,,,,,,) a1 a2 a3 a4 a5) | |
Defined in Data.Hashable.Class | |
class Monad m => MonadError e (m :: Type -> Type) | m -> e where #
The strategy of combining computations that can throw exceptions by bypassing bound functions from the point an exception is thrown to the point that it is handled.
Is parameterized over the type of error information and
the monad type constructor.
It is common to use as the monad type constructor
for an error monad in which error descriptions take the form of strings.
In that case and many other common cases the resulting monad is already defined
as an instance of the Either StringMonadError class.
You can also define your own error type and/or use a monad type constructor
other than or Either String.
In these cases you will have to explicitly define instances of the Either IOErrorMonadError
class.
(If you are using the deprecated Control.Monad.Error or
Control.Monad.Trans.Error, you may also have to define an Error instance.)
Methods
throwError :: e -> m a #
Is used within a monadic computation to begin exception processing.
catchError :: m a -> (e -> m a) -> m a #
A handler function to handle previous errors and return to normal execution. A common idiom is:
do { action1; action2; action3 } `catchError` handlerwhere the action functions can call throwError.
Note that handler and the do-block must have the same return type.
Instances
class (Monoid w, Monad m) => MonadWriter w (m :: Type -> Type) | m -> w where #
Methods
embeds a simple writer action.writer (a,w)
is an action that produces the output tell ww.
is an action that executes the action listen mm and adds
its output to the value of the computation.
pass :: m (a, w -> w) -> m a #
is an action that executes the action pass mm, which
returns a value and a function, and returns the value, applying
the function to the output.
Instances
| MonadWriter w m => MonadWriter w (MaybeT m) | |
| Monoid w => MonadWriter w ((,) w) | NOTE: This instance is only defined for Since: mtl-2.2.2 |
| (Monoid w, Monad m) => MonadWriter w (WriterT w m) | |
| (Monoid w, Monad m) => MonadWriter w (WriterT w m) | |
| MonadWriter w m => MonadWriter w (StateT s m) | |
| MonadWriter w m => MonadWriter w (StateT s m) | |
| MonadWriter w m => MonadWriter w (IdentityT m) | |
| MonadWriter w m => MonadWriter w (ExceptT e m) | Since: mtl-2.2 |
| (Error e, MonadWriter w m) => MonadWriter w (ErrorT e m) | |
| MonadWriter w m => MonadWriter w (ReaderT r m) | |
| (Monoid w, Monad m) => MonadWriter w (RWST r w s m) | |
| (Monoid w, Monad m) => MonadWriter w (RWST r w s m) | |
class MonadTrans (t :: (Type -> Type) -> Type -> Type) where #
The class of monad transformers. Instances should satisfy the
following laws, which state that lift is a monad transformation:
Methods
lift :: Monad m => m a -> t m a #
Lift a computation from the argument monad to the constructed monad.
Instances
| MonadTrans MaybeT | |
Defined in Control.Monad.Trans.Maybe | |
| MonadTrans ListT | |
Defined in Control.Monad.Trans.List | |
| MonadTrans (IdentityT :: (Type -> Type) -> Type -> Type) | |
Defined in Control.Monad.Trans.Identity | |
| MonadTrans (ExceptT e) | |
Defined in Control.Monad.Trans.Except | |
| MonadTrans (ErrorT e) | |
Defined in Control.Monad.Trans.Error | |
| MonadTrans (StateT s) | |
Defined in Control.Monad.Trans.State.Strict | |
| MonadTrans (StateT s) | |
Defined in Control.Monad.Trans.State.Lazy | |
| Monoid w => MonadTrans (WriterT w) | |
Defined in Control.Monad.Trans.Writer.Lazy | |
| Monoid w => MonadTrans (WriterT w) | |
Defined in Control.Monad.Trans.Writer.Strict | |
| MonadTrans (ContT r) | |
Defined in Control.Monad.Trans.Cont | |
| MonadTrans (ReaderT r :: (Type -> Type) -> Type -> Type) | |
Defined in Control.Monad.Trans.Reader | |
| Monoid w => MonadTrans (RWST r w s) | |
Defined in Control.Monad.Trans.RWS.Strict | |
| Monoid w => MonadTrans (RWST r w s) | |
Defined in Control.Monad.Trans.RWS.Lazy | |
gmappend :: (Generic a, GSemigroup (Rep a)) => a -> a -> a #
type Rep_ a = Rep a () Source #
A generic representation, "specialized" to no additional metadata.
(it still has the normal metadata about arity, constructor source location, field properties, etc).
fromGeneric :: Generic a => a -> Rep a x Source #
Convert from the datatype to its generic representation.
= fromNaming: like fromEnum :: a -> Int,
i.e. from the perspective of the instance type a.
toGeneric :: Generic a => Rep a x -> a Source #
Convert to a generic representation from the datatype.
= toNaming: like toEnum :: Int -> a,
i.e. from the perspective of the instance type a.