rio-0.1.24.0: A standard library for Haskell
Safe HaskellNone
LanguageHaskell2010

RIO.Prelude

Synopsis

Bool

Re-exported from Data.Bool:

(||) :: Bool -> Bool -> Bool infixr 2 Source #

Boolean "or", lazy in the second argument

(&&) :: Bool -> Bool -> Bool infixr 3 Source #

Boolean "and", lazy in the second argument

not :: Bool -> Bool Source #

Boolean "not"

otherwise :: Bool Source #

otherwise is defined as the value True. It helps to make guards more readable. eg.

 f x | x < 0     = ...
     | otherwise = ...

bool :: a -> a -> Bool -> a Source #

Case analysis for the Bool type. bool f t p evaluates to f when p is False, and evaluates to t when p is True.

This is equivalent to if p then t else f; that is, one can think of it as an if-then-else construct with its arguments reordered.

Examples

Expand

Basic usage:

>>> bool "foo" "bar" True
"bar"
>>> bool "foo" "bar" False
"foo"

Confirm that bool f t p and if p then t else f are equivalent:

>>> let p = True; f = "bar"; t = "foo"
>>> bool f t p == if p then t else f
True
>>> let p = False
>>> bool f t p == if p then t else f
True

Since: base-4.7.0.0

Maybe

Re-exported from Data.Maybe:

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

The maybe function takes a default value, a function, and a Maybe value. If the Maybe value is Nothing, the function returns the default value. Otherwise, it applies the function to the value inside the Just and returns the result.

Examples

Expand

Basic usage:

>>> maybe False odd (Just 3)
True
>>> maybe False odd Nothing
False

Read an integer from a string using readMaybe. If we succeed, return twice the integer; that is, apply (*2) to it. If instead we fail to parse an integer, return 0 by default:

>>> import GHC.Internal.Text.Read ( readMaybe )
>>> maybe 0 (*2) (readMaybe "5")
10
>>> maybe 0 (*2) (readMaybe "")
0

Apply show to a Maybe Int. If we have Just n, we want to show the underlying Int n. But if we have Nothing, we return the empty string instead of (for example) "Nothing":

>>> maybe "" show (Just 5)
"5"
>>> maybe "" show Nothing
""

fromMaybe :: a -> Maybe a -> a Source #

The fromMaybe function takes a default value and a Maybe value. If the Maybe is Nothing, it returns the default value; otherwise, it returns the value contained in the Maybe.

Examples

Expand

Basic usage:

>>> fromMaybe "" (Just "Hello, World!")
"Hello, World!"
>>> fromMaybe "" Nothing
""

Read an integer from a string using readMaybe. If we fail to parse an integer, we want to return 0 by default:

>>> import GHC.Internal.Text.Read ( readMaybe )
>>> fromMaybe 0 (readMaybe "5")
5
>>> fromMaybe 0 (readMaybe "")
0

fromFirst :: a -> First a -> a Source #

Get a First value with a default fallback

isJust :: Maybe a -> Bool Source #

The isJust function returns True iff its argument is of the form Just _.

Examples

Expand

Basic usage:

>>> isJust (Just 3)
True
>>> isJust (Just ())
True
>>> isJust Nothing
False

Only the outer constructor is taken into consideration:

>>> isJust (Just Nothing)
True

isNothing :: Maybe a -> Bool Source #

The isNothing function returns True iff its argument is Nothing.

Examples

Expand

Basic usage:

>>> isNothing (Just 3)
False
>>> isNothing (Just ())
False
>>> isNothing Nothing
True

Only the outer constructor is taken into consideration:

>>> isNothing (Just Nothing)
False

listToMaybe :: [a] -> Maybe a Source #

The listToMaybe function returns Nothing on an empty list or Just a where a is the first element of the list.

Examples

Expand

Basic usage:

>>> listToMaybe []
Nothing
>>> listToMaybe [9]
Just 9
>>> listToMaybe [1,2,3]
Just 1

Composing maybeToList with listToMaybe should be the identity on singleton/empty lists:

>>> maybeToList $ listToMaybe [5]
[5]
>>> maybeToList $ listToMaybe []
[]

But not on lists with more than one element:

>>> maybeToList $ listToMaybe [1,2,3]
[1]

maybeToList :: Maybe a -> [a] Source #

The maybeToList function returns an empty list when given Nothing or a singleton list when given Just.

Examples

Expand

Basic usage:

>>> maybeToList (Just 7)
[7]
>>> maybeToList Nothing
[]

One can use maybeToList to avoid pattern matching when combined with a function that (safely) works on lists:

>>> import GHC.Internal.Text.Read ( readMaybe )
>>> sum $ maybeToList (readMaybe "3")
3
>>> sum $ maybeToList (readMaybe "")
0

catMaybes :: [Maybe a] -> [a] Source #

The catMaybes function takes a list of Maybes and returns a list of all the Just values.

Examples

Expand

Basic usage:

>>> catMaybes [Just 1, Nothing, Just 3]
[1,3]

When constructing a list of Maybe values, catMaybes can be used to return all of the "success" results (if the list is the result of a map, then mapMaybe would be more appropriate):

>>> import GHC.Internal.Text.Read ( readMaybe )
>>> [readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ]
[Just 1,Nothing,Just 3]
>>> catMaybes $ [readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ]
[1,3]

mapMaybe :: (a -> Maybe b) -> [a] -> [b] Source #

The mapMaybe function is a version of map which can throw out elements. In particular, the functional argument returns something of type Maybe b. If this is Nothing, no element is added on to the result list. If it is Just b, then b is included in the result list.

Examples

Expand

Using mapMaybe f x is a shortcut for catMaybes $ map f x in most cases:

>>> import GHC.Internal.Text.Read ( readMaybe )
>>> let readMaybeInt = readMaybe :: String -> Maybe Int
>>> mapMaybe readMaybeInt ["1", "Foo", "3"]
[1,3]
>>> catMaybes $ map readMaybeInt ["1", "Foo", "3"]
[1,3]

If we map the Just constructor, the entire list should be returned:

>>> mapMaybe Just [1,2,3]
[1,2,3]

mapMaybeA :: Applicative f => (a -> f (Maybe b)) -> [a] -> f [b] Source #

Applicative mapMaybe.

mapMaybeM :: Monad m => (a -> m (Maybe b)) -> [a] -> m [b] Source #

Monadic mapMaybe.

forMaybeA :: Applicative f => [a] -> (a -> f (Maybe b)) -> f [b] Source #

forMaybeM :: Monad m => [a] -> (a -> m (Maybe b)) -> m [b] Source #

Either

Re-exported from Data.Either:

either :: (a -> c) -> (b -> c) -> Either a b -> c Source #

Case analysis for the Either type. If the value is Left a, apply the first function to a; if it is Right b, apply the second function to b.

Examples

Expand

We create two values of type Either String Int, one using the Left constructor and another using the Right constructor. Then we apply "either" the length function (if we have a String) or the "times-two" function (if we have an Int):

>>> let s = Left "foo" :: Either String Int
>>> let n = Right 3 :: Either String Int
>>> either length (*2) s
3
>>> either length (*2) n
6

fromLeft :: a -> Either a b -> a Source #

Return the contents of a Left-value or a default value otherwise.

Examples

Expand

Basic usage:

>>> fromLeft 1 (Left 3)
3
>>> fromLeft 1 (Right "foo")
1

Since: base-4.10.0.0

fromRight :: b -> Either a b -> b Source #

Return the contents of a Right-value or a default value otherwise.

Examples

Expand

Basic usage:

>>> fromRight 1 (Right 3)
3
>>> fromRight 1 (Left "foo")
1

Since: base-4.10.0.0

isLeft :: Either a b -> Bool Source #

Return True if the given value is a Left-value, False otherwise.

Examples

Expand

Basic usage:

>>> isLeft (Left "foo")
True
>>> isLeft (Right 3)
False

Assuming a Left value signifies some sort of error, we can use isLeft to write a very simple error-reporting function that does absolutely nothing in the case of success, and outputs "ERROR" if any error occurred.

This example shows how isLeft might be used to avoid pattern matching when one does not care about the value contained in the constructor:

>>> import Control.Monad ( when )
>>> let report e = when (isLeft e) $ putStrLn "ERROR"
>>> report (Right 1)
>>> report (Left "parse error")
ERROR

Since: base-4.7.0.0

isRight :: Either a b -> Bool Source #

Return True if the given value is a Right-value, False otherwise.

Examples

Expand

Basic usage:

>>> isRight (Left "foo")
False
>>> isRight (Right 3)
True

Assuming a Left value signifies some sort of error, we can use isRight to write a very simple reporting function that only outputs "SUCCESS" when a computation has succeeded.

This example shows how isRight might be used to avoid pattern matching when one does not care about the value contained in the constructor:

>>> import Control.Monad ( when )
>>> let report e = when (isRight e) $ putStrLn "SUCCESS"
>>> report (Left "parse error")
>>> report (Right 1)
SUCCESS

Since: base-4.7.0.0

mapLeft :: (a1 -> a2) -> Either a1 b -> Either a2 b Source #

Apply a function to a Left constructor

lefts :: [Either a b] -> [a] Source #

Extracts from a list of Either all the Left elements. All the Left elements are extracted in order.

Examples

Expand

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> lefts list
["foo","bar","baz"]

partitionEithers :: [Either a b] -> ([a], [b]) Source #

Partitions a list of Either into two lists. All the Left elements are extracted, in order, to the first component of the output. Similarly the Right elements are extracted to the second component of the output.

Examples

Expand

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> partitionEithers list
(["foo","bar","baz"],[3,7])

The pair returned by partitionEithers x should be the same pair as (lefts x, rights x):

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> partitionEithers list == (lefts list, rights list)
True

rights :: [Either a b] -> [b] Source #

Extracts from a list of Either all the Right elements. All the Right elements are extracted in order.

Examples

Expand

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> rights list
[3,7]

Tuples

Re-exported from Data.Tuple:

fst :: (a, b) -> a Source #

Extract the first component of a pair.

snd :: (a, b) -> b Source #

Extract the second component of a pair.

curry :: ((a, b) -> c) -> a -> b -> c Source #

Convert an uncurried function to a curried function.

Examples

Expand
>>> curry fst 1 2
1

uncurry :: (a -> b -> c) -> (a, b) -> c Source #

uncurry converts a curried function to a function on pairs.

Examples

Expand
>>> uncurry (+) (1,2)
3
>>> uncurry ($) (show, 1)
"1"
>>> map (uncurry max) [(1,2), (3,4), (6,8)]
[2,4,8]

Eq

Re-exported from Data.Eq:

(==) :: Eq a => a -> a -> Bool infix 4 Source #

(/=) :: Eq a => a -> a -> Bool infix 4 Source #

Ord

Re-exported from Data.Ord:

(<) :: Ord a => a -> a -> Bool infix 4 Source #

(<=) :: Ord a => a -> a -> Bool infix 4 Source #

(>) :: Ord a => a -> a -> Bool infix 4 Source #

(>=) :: Ord a => a -> a -> Bool infix 4 Source #

max :: Ord a => a -> a -> a Source #

min :: Ord a => a -> a -> a Source #

compare :: Ord a => a -> a -> Ordering Source #

comparing :: Ord a => (b -> a) -> b -> b -> Ordering Source #

comparing p x y = compare (p x) (p y)

Useful combinator for use in conjunction with the xxxBy family of functions from Data.List, for example:

  ... sortBy (comparing fst) ...

newtype Down a Source #

The Down type allows you to reverse sort order conveniently. A value of type Down a contains a value of type a (represented as Down a).

If a has an Ord instance associated with it then comparing two values thus wrapped will give you the opposite of their normal sort order. This is particularly useful when sorting in generalised list comprehensions, as in: then sortWith by Down x.

>>> compare True False
GT
>>> compare (Down True) (Down False)
LT

If a has a Bounded instance then the wrapped instance also respects the reversed ordering by exchanging the values of minBound and maxBound.

>>> minBound :: Int
-9223372036854775808
>>> minBound :: Down Int
Down 9223372036854775807

All other instances of Down a behave as they do for a.

Since: base-4.6.0.0

Constructors

Down 

Fields

Instances

Instances details
MonadZip Down

Since: base-4.12.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: Down a -> Down b -> Down (a, b) Source #

mzipWith :: (a -> b -> c) -> Down a -> Down b -> Down c Source #

munzip :: Down (a, b) -> (Down a, Down b) Source #

Foldable1 Down

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Down m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Down a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Down a -> m Source #

toNonEmpty :: Down a -> NonEmpty a Source #

maximum :: Ord a => Down a -> a Source #

minimum :: Ord a => Down a -> a Source #

head :: Down a -> a Source #

last :: Down a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Down a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Down a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Down a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Down a -> b Source #

Eq1 Down

Since: base-4.12.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> Down a -> Down b -> Bool Source #

Ord1 Down

Since: base-4.12.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> Down a -> Down b -> Ordering Source #

Read1 Down

Since: base-4.12.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Down a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Down a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Down a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Down a] Source #

Show1 Down

Since: base-4.12.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Down a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Down a] -> ShowS Source #

NFData1 Down

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Down a -> () Source #

Applicative Down

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

pure :: a -> Down a Source #

(<*>) :: Down (a -> b) -> Down a -> Down b Source #

liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c Source #

(*>) :: Down a -> Down b -> Down b Source #

(<*) :: Down a -> Down b -> Down a Source #

Functor Down

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

fmap :: (a -> b) -> Down a -> Down b Source #

(<$) :: a -> Down b -> Down a Source #

Monad Down

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(>>=) :: Down a -> (a -> Down b) -> Down b Source #

(>>) :: Down a -> Down b -> Down b Source #

return :: a -> Down a Source #

Foldable Down

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Down m -> m Source #

foldMap :: Monoid m => (a -> m) -> Down a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Down a -> m Source #

foldr :: (a -> b -> b) -> b -> Down a -> b Source #

foldr' :: (a -> b -> b) -> b -> Down a -> b Source #

foldl :: (b -> a -> b) -> b -> Down a -> b Source #

foldl' :: (b -> a -> b) -> b -> Down a -> b Source #

foldr1 :: (a -> a -> a) -> Down a -> a Source #

foldl1 :: (a -> a -> a) -> Down a -> a Source #

toList :: Down a -> [a] Source #

null :: Down a -> Bool Source #

length :: Down a -> Int Source #

elem :: Eq a => a -> Down a -> Bool Source #

maximum :: Ord a => Down a -> a Source #

minimum :: Ord a => Down a -> a Source #

sum :: Num a => Down a -> a Source #

product :: Num a => Down a -> a Source #

Traversable Down

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b) Source #

sequenceA :: Applicative f => Down (f a) -> f (Down a) Source #

mapM :: Monad m => (a -> m b) -> Down a -> m (Down b) Source #

sequence :: Monad m => Down (m a) -> m (Down a) Source #

Generic1 Down 
Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 Down

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 Down = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Down a -> Rep1 Down a Source #

to1 :: Rep1 Down a -> Down a Source #

Unbox a => Vector Vector (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Methods

basicUnsafeFreeze :: Mutable Vector s (Down a) -> ST s (Vector (Down a)) #

basicUnsafeThaw :: Vector (Down a) -> ST s (Mutable Vector s (Down a)) #

basicLength :: Vector (Down a) -> Int #

basicUnsafeSlice :: Int -> Int -> Vector (Down a) -> Vector (Down a) #

basicUnsafeIndexM :: Vector (Down a) -> Int -> Box (Down a) #

basicUnsafeCopy :: Mutable Vector s (Down a) -> Vector (Down a) -> ST s () #

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

Unbox a => MVector MVector (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Methods

basicLength :: MVector s (Down a) -> Int

basicUnsafeSlice :: Int -> Int -> MVector s (Down a) -> MVector s (Down a)

basicOverlaps :: MVector s (Down a) -> MVector s (Down a) -> Bool

basicUnsafeNew :: Int -> ST s (MVector s (Down a))

basicInitialize :: MVector s (Down a) -> ST s ()

basicUnsafeReplicate :: Int -> Down a -> ST s (MVector s (Down a))

basicUnsafeRead :: MVector s (Down a) -> Int -> ST s (Down a)

basicUnsafeWrite :: MVector s (Down a) -> Int -> Down a -> ST s ()

basicClear :: MVector s (Down a) -> ST s ()

basicSet :: MVector s (Down a) -> Down a -> ST s ()

basicUnsafeCopy :: MVector s (Down a) -> MVector s (Down a) -> ST s ()

basicUnsafeMove :: MVector s (Down a) -> MVector s (Down a) -> ST s ()

basicUnsafeGrow :: MVector s (Down a) -> Int -> ST s (MVector s (Down a))

NFData a => NFData (Down a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Down a -> () Source #

Monoid a => Monoid (Down a)

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

mempty :: Down a Source #

mappend :: Down a -> Down a -> Down a Source #

mconcat :: [Down a] -> Down a Source #

Semigroup a => Semigroup (Down a)

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(<>) :: Down a -> Down a -> Down a Source #

sconcat :: NonEmpty (Down a) -> Down a Source #

stimes :: Integral b => b -> Down a -> Down a Source #

Bits a => Bits (Down a)

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(.&.) :: Down a -> Down a -> Down a Source #

(.|.) :: Down a -> Down a -> Down a Source #

xor :: Down a -> Down a -> Down a Source #

complement :: Down a -> Down a Source #

shift :: Down a -> Int -> Down a Source #

rotate :: Down a -> Int -> Down a Source #

zeroBits :: Down a Source #

bit :: Int -> Down a Source #

setBit :: Down a -> Int -> Down a Source #

clearBit :: Down a -> Int -> Down a Source #

complementBit :: Down a -> Int -> Down a Source #

testBit :: Down a -> Int -> Bool Source #

bitSizeMaybe :: Down a -> Maybe Int Source #

bitSize :: Down a -> Int Source #

isSigned :: Down a -> Bool Source #

shiftL :: Down a -> Int -> Down a Source #

unsafeShiftL :: Down a -> Int -> Down a Source #

shiftR :: Down a -> Int -> Down a Source #

unsafeShiftR :: Down a -> Int -> Down a Source #

rotateL :: Down a -> Int -> Down a Source #

rotateR :: Down a -> Int -> Down a Source #

popCount :: Down a -> Int Source #

FiniteBits a => FiniteBits (Down a)

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Data a => Data (Down a)

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.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) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Down a) Source #

toConstr :: Down a -> Constr Source #

dataTypeOf :: Down a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Down a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Down a)) Source #

gmapT :: (forall b. Data b => b -> b) -> Down a -> Down a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Down a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Down a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Down a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Down a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) Source #

Bounded a => Bounded (Down a)

Swaps minBound and maxBound of the underlying type.

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

(Enum a, Bounded a, Eq a) => Enum (Down a)

Swaps succ and pred of the underlying type.

Since: base-4.18.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

succ :: Down a -> Down a Source #

pred :: Down a -> Down a Source #

toEnum :: Int -> Down a Source #

fromEnum :: Down a -> Int Source #

enumFrom :: Down a -> [Down a] Source #

enumFromThen :: Down a -> Down a -> [Down a] Source #

enumFromTo :: Down a -> Down a -> [Down a] Source #

enumFromThenTo :: Down a -> Down a -> Down a -> [Down a] Source #

Floating a => Floating (Down a)

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

pi :: Down a Source #

exp :: Down a -> Down a Source #

log :: Down a -> Down a Source #

sqrt :: Down a -> Down a Source #

(**) :: Down a -> Down a -> Down a Source #

logBase :: Down a -> Down a -> Down a Source #

sin :: Down a -> Down a Source #

cos :: Down a -> Down a Source #

tan :: Down a -> Down a Source #

asin :: Down a -> Down a Source #

acos :: Down a -> Down a Source #

atan :: Down a -> Down a Source #

sinh :: Down a -> Down a Source #

cosh :: Down a -> Down a Source #

tanh :: Down a -> Down a Source #

asinh :: Down a -> Down a Source #

acosh :: Down a -> Down a Source #

atanh :: Down a -> Down a Source #

log1p :: Down a -> Down a Source #

expm1 :: Down a -> Down a Source #

log1pexp :: Down a -> Down a Source #

log1mexp :: Down a -> Down a Source #

RealFloat a => RealFloat (Down a)

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Storable a => Storable (Down a)

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

sizeOf :: Down a -> Int Source #

alignment :: Down a -> Int Source #

peekElemOff :: Ptr (Down a) -> Int -> IO (Down a) Source #

pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO (Down a) Source #

pokeByteOff :: Ptr b -> Int -> Down a -> IO () Source #

peek :: Ptr (Down a) -> IO (Down a) Source #

poke :: Ptr (Down a) -> Down a -> IO () Source #

Generic (Down a) 
Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (Down a)

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (Down a) = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Down a -> Rep (Down a) x Source #

to :: Rep (Down a) x -> Down a Source #

Ix a => Ix (Down a)

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

range :: (Down a, Down a) -> [Down a] Source #

index :: (Down a, Down a) -> Down a -> Int Source #

unsafeIndex :: (Down a, Down a) -> Down a -> Int Source #

inRange :: (Down a, Down a) -> Down a -> Bool Source #

rangeSize :: (Down a, Down a) -> Int Source #

unsafeRangeSize :: (Down a, Down a) -> Int Source #

Num a => Num (Down a)

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(+) :: Down a -> Down a -> Down a Source #

(-) :: Down a -> Down a -> Down a Source #

(*) :: Down a -> Down a -> Down a Source #

negate :: Down a -> Down a Source #

abs :: Down a -> Down a Source #

signum :: Down a -> Down a Source #

fromInteger :: Integer -> Down a Source #

Read a => Read (Down a)

This instance would be equivalent to the derived instances of the Down newtype if the getDown field were removed

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Fractional a => Fractional (Down a)

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(/) :: Down a -> Down a -> Down a Source #

recip :: Down a -> Down a Source #

fromRational :: Rational -> Down a Source #

Real a => Real (Down a)

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

RealFrac a => RealFrac (Down a)

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

properFraction :: Integral b => Down a -> (b, Down a) Source #

truncate :: Integral b => Down a -> b Source #

round :: Integral b => Down a -> b Source #

ceiling :: Integral b => Down a -> b Source #

floor :: Integral b => Down a -> b Source #

Show a => Show (Down a)

This instance would be equivalent to the derived instances of the Down newtype if the getDown field were removed

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

showsPrec :: Int -> Down a -> ShowS Source #

show :: Down a -> String Source #

showList :: [Down a] -> ShowS Source #

Eq a => Eq (Down a)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(==) :: Down a -> Down a -> Bool Source #

(/=) :: Down a -> Down a -> Bool Source #

Ord a => Ord (Down a)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

compare :: Down a -> Down a -> Ordering Source #

(<) :: Down a -> Down a -> Bool Source #

(<=) :: Down a -> Down a -> Bool Source #

(>) :: Down a -> Down a -> Bool Source #

(>=) :: Down a -> Down a -> Bool Source #

max :: Down a -> Down a -> Down a Source #

min :: Down a -> Down a -> Down a Source #

Prim a => Prim (Down a)

Since: primitive-0.6.5.0

Instance details

Defined in Data.Primitive.Types

Unbox a => Unbox (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

type Rep1 Down

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 Down = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
newtype MVector s (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s (Down a) = MV_Down (MVector s a)
type Rep (Down a)

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (Down a) = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
newtype Vector (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector (Down a) = V_Down (Vector a)

Enum

Re-exported from Prelude:

fromEnum :: Enum a => a -> Int Source #

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.

Bounded

Re-exported from Prelude:

Num

Re-exported from Prelude:

(+) :: Num a => a -> a -> a infixl 6 Source #

(-) :: Num a => a -> a -> a infixl 6 Source #

(*) :: Num a => a -> a -> a infixl 7 Source #

(^) :: (Num a, Integral b) => a -> b -> a infixr 8 Source #

raise a number to a non-negative integral power

negate :: Num a => a -> a Source #

Unary negation.

abs :: Num a => a -> a Source #

Absolute value.

signum :: Num a => a -> a Source #

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 :: Num a => Integer -> a Source #

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.

subtract :: Num a => a -> a -> a Source #

the same as flip (-).

Because - is treated specially in the Haskell grammar, (- e) is not a section, but an application of prefix negation. However, (subtract exp) is equivalent to the disallowed section.

Real

Re-exported from Prelude:

toRational :: Real a => a -> Rational Source #

Rational equivalent of its real argument with full precision.

Integral

Re-exported from Prelude:

quot :: Integral a => a -> a -> a infixl 7 Source #

Integer division truncated toward zero.

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in base.

rem :: Integral a => a -> a -> a infixl 7 Source #

Integer remainder, satisfying

(x `quot` y)*y + (x `rem` y) == x

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in base.

div :: Integral a => a -> a -> a infixl 7 a => a -> a ->lass="src">Source #

Integer remainder, satisfying

(x `quot` y)*y + (x `rem` y) == x<)ss 'NoSourceStrictnesd92cightedge"> a => a -> a ->lass="src">Source #

Integer remainder, satisfying

(x `quot` y)*y + (x `rem` y) =///usr/lib/ghc/lib/../../../share/doc/ghc-doSet v Source  Monoid (Seq a) 
GHC.Internal.Conc.Sync

-1maptorable.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.habln.haflink">#
clanGHC-Generics.html#t:Rep" title="GHC.Generics">Rep .hablns Ï×!>.:eri>Just a where a is the first element of the list.

Examples

Instar
Foldable t, Applicative f) => t a -> (a -> f b) -> f ()
  • sequenceA_ :: (FoldanluÓð{Û§/ r) -> milee:(forall s.
  • sequenceA_ :: (FoldanluÓð{Û§/ r) -> milee:(forall s. msum :: (sequenceA_ :: (FoldanluÓð{Û§/ r) -> milee:(forall s. Int# :: <-doc/html/libraries/ghc-prim-0.12.0-1050/src/GHC.Classes.html#max" class="link">Source (partitionEithers x should be the same pair as (lefts x,

    Inleger division truncated toward zero.

    WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in base.

  • rem :: Data.Functor.Classes

    >>> xsnort">../sharndef">re">../sharndef">re">../sharndef">re">.haruttrelude-Tc-primiti/ghc-de1spoc empty"> >>> x) -> t a b -> Bool

  • bimaximu"RIO.Preludea> -> c (catMaybes :: [Maybe a] -> [a] m => 4> Int -> a -> [a]
  • reverse :: [a] -> [a]
  • BoolSource #

    (*>) :: >>> <

  • Methods

    from :: URec itle="RIO.Prelude.Types">Double p ->