Copyright	[2018..2020] The Accelerate Team
License	BSD3
Maintainer	Trevor L. McDonell <trevor.mcdonell@gmail.com>
Stability	experimental
Portability	non-portable (GHC extensions)
Safe Haskell	None
Language	Haskell2010

Data.Array.Accelerate.Data.Semigroup

Contents

Orphan instances

Description

Semigroup instances for Accelerate

Since: 1.2.0.0

Synopsis

class Semigroup a where
- (<>) :: a -> a -> a
- sconcat :: NonEmpty a -> a
- stimes :: Integral b => b -> a -> a
newtype Min a = Min {
- getMin :: a
}
pattern Min_ :: Elt a => Exp a -> Exp (Min a)
newtype Max a = Max {
- getMax :: a
}
pattern Max_ :: Elt a => Exp a -> Exp (Max a)

Documentation

class Semigroup a where #

The class of semigroups (types with an associative binary operation).

Instances should satisfy the following:

Associativity: x <> (y <> z) = (x <> y) <> z

You can alternatively define sconcat instead of (<>), in which case the laws are:

Unit: sconcat (pure x) = x
Multiplication: sconcat (join xss) = sconcat (fmap sconcat xss)

Since: base-4.9.0.0

Minimal complete definition

(<>) | sconcat

Methods

(<>) :: a -> a -> a infixr 6 #

An associative operation.

Examples

Expand

>>> [1,2,3] <> [4,5,6]
[1,2,3,4,5,6]

>>> Just [1, 2, 3] <> Just [4, 5, 6]
Just [1,2,3,4,5,6]

>>> putStr "Hello, " <> putStrLn "World!"
Hello, World!

sconcat :: NonEmpty a -> a #

Reduce a non-empty list with <>

The default definition should be sufficient, but this can be overridden for efficiency.

Examples

Expand

For the following examples, we will assume that we have:

>>> import Data.List.NonEmpty (NonEmpty (..))

>>> sconcat $ "Hello" :| [" ", "Haskell", "!"]
"Hello Haskell!"

>>> sconcat $ Just [1, 2, 3] :| [Nothing, Just [4, 5, 6]]
Just [1,2,3,4,5,6]

>>> sconcat $ Left 1 :| [Right 2, Left 3, Right 4]
Right 2

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

Repeat a value n times.

The default definition will raise an exception for a multiplier that is <= 0. This may be overridden with an implementation that is total. For monoids it is preferred to use stimesMonoid.

By making this a member of the class, idempotent semigroups and monoids can upgrade this to execute in $\mathcal{O}(1)$ by picking stimes = stimesIdempotent or stimes = stimesIdempotentMonoid respectively.

Examples

Expand

>>> stimes 4 [1]
[1,1,1,1]

>>> stimes 5 (putStr "hi!")
hi!hi!hi!hi!hi!

>>> stimes 3 (Right ":)")
Right ":)"

Instances

Instances details

Semigroup ByteArray	Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods (<>) :: ByteArray -> ByteArray -> ByteArray # sconcat :: NonEmpty ByteArray -> ByteArray # stimes :: Integral b => b -> ByteArray -> ByteArray #
Semigroup All	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: All -> All -> All # sconcat :: NonEmpty All -> All # stimes :: Integral b => b -> All -> All #
Semigroup Any	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Any -> Any -> Any # sconcat :: NonEmpty Any -> Any # stimes :: Integral b => b -> Any -> Any #
Semigroup Void	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: Void -> Void -> Void # sconcat :: NonEmpty Void -> Void # stimes :: Integral b => b -> Void -> Void #
Semigroup Builder
Instance details Defined in Data.ByteString.Builder.Internal Methods (<>) :: Builder -> Builder -> Builder # sconcat :: NonEmpty Builder -> Builder # stimes :: Integral b => b -> Builder -> Builder #
Semigroup ByteString
Instance details Defined in Data.ByteString.Internal.Type Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString #
Semigroup ByteString
Instance details Defined in Data.ByteString.Lazy.Internal Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString #
Semigroup ShortByteString
Instance details Defined in Data.ByteString.Short.Internal Methods (<>) :: ShortByteString -> ShortByteString -> ShortByteString # sconcat :: NonEmpty ShortByteString -> ShortByteString # stimes :: Integral b => b -> ShortByteString -> ShortByteString #
Semigroup IntSet	Since: containers-0.5.7
Instance details Defined in Data.IntSet.Internal Methods (<>) :: IntSet -> IntSet -> IntSet # sconcat :: NonEmpty IntSet -> IntSet # stimes :: Integral b => b -> IntSet -> IntSet #
Semigroup Unit
Instance details Defined in Control.DeepSeq Methods (<>) :: Unit -> Unit -> Unit # sconcat :: NonEmpty Unit -> Unit # stimes :: Integral b => b -> Unit -> Unit #
Semigroup OsString
Instance details Defined in System.OsString.Internal.Types.Hidden Methods (<>) :: OsString -> OsString -> OsString # sconcat :: NonEmpty OsString -> OsString # stimes :: Integral b => b -> OsString -> OsString #
Semigroup PosixString
Instance details Defined in System.OsString.Internal.Types.Hidden Methods (<>) :: PosixString -> PosixString -> PosixString # sconcat :: NonEmpty PosixString -> PosixString # stimes :: Integral b => b -> PosixString -> PosixString #
Semigroup WindowsString
Instance details Defined in System.OsString.Internal.Types.Hidden Methods (<>) :: WindowsString -> WindowsString -> WindowsString # sconcat :: NonEmpty WindowsString -> WindowsString # stimes :: Integral b => b -> WindowsString -> WindowsString #
Semigroup Ordering	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: Ordering -> Ordering -> Ordering # sconcat :: NonEmpty Ordering -> Ordering # stimes :: Integral b => b -> Ordering -> Ordering #
Semigroup Slot
Instance details Defined in Data.HashTable.ST.Basic Methods (<>) :: Slot -> Slot -> Slot # sconcat :: NonEmpty Slot -> Slot # stimes :: Integral b => b -> Slot -> Slot #
Semigroup Cover
Instance details Defined in Hedgehog.Internal.Property Methods (<>) :: Cover -> Cover -> Cover # sconcat :: NonEmpty Cover -> Cover # stimes :: Integral b => b -> Cover -> Cover #
Semigroup CoverCount
Instance details Defined in Hedgehog.Internal.Property Methods (<>) :: CoverCount -> CoverCount -> CoverCount # sconcat :: NonEmpty CoverCount -> CoverCount # stimes :: Integral b => b -> CoverCount -> CoverCount #
Semigroup GroupName
Instance details Defined in Hedgehog.Internal.Property Methods (<>) :: GroupName -> GroupName -> GroupName # sconcat :: NonEmpty GroupName -> GroupName # stimes :: Integral b => b -> GroupName -> GroupName #
Semigroup Journal
Instance details Defined in Hedgehog.Internal.Property Methods (<>) :: Journal -> Journal -> Journal # sconcat :: NonEmpty Journal -> Journal # stimes :: Integral b => b -> Journal -> Journal #
Semigroup LabelName
Instance details Defined in Hedgehog.Internal.Property Methods (<>) :: LabelName -> LabelName -> LabelName # sconcat :: NonEmpty LabelName -> LabelName # stimes :: Integral b => b -> LabelName -> LabelName #
Semigroup PropertyName
Instance details Defined in Hedgehog.Internal.Property Methods (<>) :: PropertyName -> PropertyName -> PropertyName # sconcat :: NonEmpty PropertyName -> PropertyName # stimes :: Integral b => b -> PropertyName -> PropertyName #
Semigroup ColumnWidth
Instance details Defined in Hedgehog.Internal.Report Methods (<>) :: ColumnWidth -> ColumnWidth -> ColumnWidth # sconcat :: NonEmpty ColumnWidth -> ColumnWidth # stimes :: Integral b => b -> ColumnWidth -> ColumnWidth #
Semigroup Style
Instance details Defined in Hedgehog.Internal.Report Methods (<>) :: Style -> Style -> Style # sconcat :: NonEmpty Style -> Style # stimes :: Integral b => b -> Style -> Style #
Semigroup Summary
Instance details Defined in Hedgehog.Internal.Report Methods (<>) :: Summary -> Summary -> Summary # sconcat :: NonEmpty Summary -> Summary # stimes :: Integral b => b -> Summary -> Summary #
Semigroup Completer
Instance details Defined in Options.Applicative.Types Methods (<>) :: Completer -> Completer -> Completer # sconcat :: NonEmpty Completer -> Completer # stimes :: Integral b => b -> Completer -> Completer #
Semigroup ParseError
Instance details Defined in Options.Applicative.Types Methods (<>) :: ParseError -> ParseError -> ParseError # sconcat :: NonEmpty ParseError -> ParseError # stimes :: Integral b => b -> ParseError -> ParseError #
Semigroup OsString
Instance details Defined in System.OsString.Internal.Types Methods (<>) :: OsString -> OsString -> OsString # sconcat :: NonEmpty OsString -> OsString # stimes :: Integral b => b -> OsString -> OsString #
Semigroup PosixString
Instance details Defined in System.OsString.Internal.Types Methods (<>) :: PosixString -> PosixString -> PosixString # sconcat :: NonEmpty PosixString -> PosixString # stimes :: Integral b => b -> PosixString -> PosixString #
Semigroup WindowsString
Instance details Defined in System.OsString.Internal.Types Methods (<>) :: WindowsString -> WindowsString -> WindowsString # sconcat :: NonEmpty WindowsString -> WindowsString # stimes :: Integral b => b -> WindowsString -> WindowsString #
Semigroup Doc
Instance details Defined in Text.PrettyPrint.HughesPJ Methods (<>) :: Doc -> Doc -> Doc # sconcat :: NonEmpty Doc -> Doc # stimes :: Integral b => b -> Doc -> Doc #
Semigroup AnsiStyle
Instance details Defined in Prettyprinter.Render.Terminal.Internal Methods (<>) :: AnsiStyle -> AnsiStyle -> AnsiStyle # sconcat :: NonEmpty AnsiStyle -> AnsiStyle # stimes :: Integral b => b -> AnsiStyle -> AnsiStyle #
Semigroup Statistics
Instance details Defined in Test.Tasty.Ingredients.ConsoleReporter Methods (<>) :: Statistics -> Statistics -> Statistics # sconcat :: NonEmpty Statistics -> Statistics # stimes :: Integral b => b -> Statistics -> Statistics #
Semigroup TestOutput
Instance details Defined in Test.Tasty.Ingredients.ConsoleReporter Methods (<>) :: TestOutput -> TestOutput -> TestOutput # sconcat :: NonEmpty TestOutput -> TestOutput # stimes :: Integral b => b -> TestOutput -> TestOutput #
Semigroup OptionSet
Instance details Defined in Test.Tasty.Options Methods (<>) :: OptionSet -> OptionSet -> OptionSet # sconcat :: NonEmpty OptionSet -> OptionSet # stimes :: Integral b => b -> OptionSet -> OptionSet #
Semigroup Builder
Instance details Defined in Data.Text.Internal.Builder Methods (<>) :: Builder -> Builder -> Builder # sconcat :: NonEmpty Builder -> Builder # stimes :: Integral b => b -> Builder -> Builder #
Semigroup StrictBuilder	Concatenation of `StrictBuilder` is right-biased: the right builder will be run first. This allows a builder to run tail-recursively when it was accumulated left-to-right.
Instance details Defined in Data.Text.Internal.StrictBuilder Methods (<>) :: StrictBuilder -> StrictBuilder -> StrictBuilder # sconcat :: NonEmpty StrictBuilder -> StrictBuilder # stimes :: Integral b => b -> StrictBuilder -> StrictBuilder #
Semigroup ()	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: () -> () -> () # sconcat :: NonEmpty () -> () # stimes :: Integral b => b -> () -> () #
(Elt a, Elt b) => Semigroup (Exp (Either a b)) Source #
Instance details Defined in Data.Array.Accelerate.Data.Either Methods (<>) :: Exp (Either a b) -> Exp (Either a b) -> Exp (Either a b) # sconcat :: NonEmpty (Exp (Either a b)) -> Exp (Either a b) # stimes :: Integral b0 => b0 -> Exp (Either a b) -> Exp (Either a b) #
Ord a => Semigroup (Exp (Max a)) Source #
Instance details Defined in Data.Array.Accelerate.Data.Semigroup Methods (<>) :: Exp (Max a) -> Exp (Max a) -> Exp (Max a) # sconcat :: NonEmpty (Exp (Max a)) -> Exp (Max a) # stimes :: Integral b => b -> Exp (Max a) -> Exp (Max a) #
Ord a => Semigroup (Exp (Min a)) Source #
Instance details Defined in Data.Array.Accelerate.Data.Semigroup Methods (<>) :: Exp (Min a) -> Exp (Min a) -> Exp (Min a) # sconcat :: NonEmpty (Exp (Min a)) -> Exp (Min a) # stimes :: Integral b => b -> Exp (Min a) -> Exp (Min a) #
Num a => Semigroup (Exp (Product a)) Source #	Since: 1.2.0.0
Instance details Defined in Data.Array.Accelerate.Data.Monoid Methods (<>) :: Exp (Product a) -> Exp (Product a) -> Exp (Product a) # sconcat :: NonEmpty (Exp (Product a)) -> Exp (Product a) # stimes :: Integral b => b -> Exp (Product a) -> Exp (Product a) #
Num a => Semigroup (Exp (Sum a)) Source #	Since: 1.2.0.0
Instance details Defined in Data.Array.Accelerate.Data.Monoid Methods (<>) :: Exp (Sum a) -> Exp (Sum a) -> Exp (Sum a) # sconcat :: NonEmpty (Exp (Sum a)) -> Exp (Sum a) # stimes :: Integral b => b -> Exp (Sum a) -> Exp (Sum a) #
(Semigroup (Exp a), Elt a) => Semigroup (Exp (Maybe a)) Source #
Instance details Defined in Data.Array.Accelerate.Data.Maybe Methods (<>) :: Exp (Maybe a) -> Exp (Maybe a) -> Exp (Maybe a) # sconcat :: NonEmpty (Exp (Maybe a)) -> Exp (Maybe a) # stimes :: Integral b => b -> Exp (Maybe a) -> Exp (Maybe a) #
(Elt a, Elt b, Semigroup (Exp a), Semigroup (Exp b)) => Semigroup (Exp (a, b)) Source #
Instance details Defined in Data.Array.Accelerate.Data.Semigroup Methods (<>) :: Exp (a, b) -> Exp (a, b) -> Exp (a, b) # sconcat :: NonEmpty (Exp (a, b)) -> Exp (a, b) # stimes :: Integral b0 => b0 -> Exp (a, b) -> Exp (a, b) #
(Elt a, Elt b, Elt c, Semigroup (Exp a), Semigroup (Exp b), Semigroup (Exp c)) => Semigroup (Exp (a, b, c)) Source #
Instance details Defined in Data.Array.Accelerate.Data.Semigroup Methods (<>) :: Exp (a, b, c) -> Exp (a, b, c) -> Exp (a, b, c) # sconcat :: NonEmpty (Exp (a, b, c)) -> Exp (a, b, c) # stimes :: Integral b0 => b0 -> Exp (a, b, c) -> Exp (a, b, c) #
(Elt a, Elt b, Elt c, Elt d, Semigroup (Exp a), Semigroup (Exp b), Semigroup (Exp c), Semigroup (Exp d)) => Semigroup (Exp (a, b, c, d)) Source #
Instance details Defined in Data.Array.Accelerate.Data.Semigroup Methods (<>) :: Exp (a, b, c, d) -> Exp (a, b, c, d) -> Exp (a, b, c, d) # sconcat :: NonEmpty (Exp (a, b, c, d)) -> Exp (a, b, c, d) # stimes :: Integral b0 => b0 -> Exp (a, b, c, d) -> Exp (a, b, c, d) #
(Elt a, Elt b, Elt c, Elt d, Elt e, Semigroup (Exp a), Semigroup (Exp b), Semigroup (Exp c), Semigroup (Exp d), Semigroup (Exp e)) => Semigroup (Exp (a, b, c, d, e)) Source #
Instance details Defined in Data.Array.Accelerate.Data.Semigroup Methods (<>) :: Exp (a, b, c, d, e) -> Exp (a, b, c, d, e) -> Exp (a, b, c, d, e) # sconcat :: NonEmpty (Exp (a, b, c, d, e)) -> Exp (a, b, c, d, e) # stimes :: Integral b0 => b0 -> Exp (a, b, c, d, e) -> Exp (a, b, c, d, e) #
Semigroup (Exp ()) Source #
Instance details Defined in Data.Array.Accelerate.Data.Semigroup Methods (<>) :: Exp () -> Exp () -> Exp () # sconcat :: NonEmpty (Exp ()) -> Exp () # stimes :: Integral b => b -> Exp () -> Exp () #
Bits a => Semigroup (And a)	Since: base-4.16
Instance details Defined in Data.Bits Methods (<>) :: And a -> And a -> And a # sconcat :: NonEmpty (And a) -> And a # stimes :: Integral b => b -> And a -> And a #
FiniteBits a => Semigroup (Iff a)	This constraint is arguably too strong. However, as some types (such as `Natural`) have undefined `complement`, this is the only safe choice. Since: base-4.16
Instance details Defined in Data.Bits Methods (<>) :: Iff a -> Iff a -> Iff a # sconcat :: NonEmpty (Iff a) -> Iff a # stimes :: Integral b => b -> Iff a -> Iff a #
Bits a => Semigroup (Ior a)	Since: base-4.16
Instance details Defined in Data.Bits Methods (<>) :: Ior a -> Ior a -> Ior a # sconcat :: NonEmpty (Ior a) -> Ior a # stimes :: Integral b => b -> Ior a -> Ior a #
Bits a => Semigroup (Xor a)	Since: base-4.16
Instance details Defined in Data.Bits Methods (<>) :: Xor a -> Xor a -> Xor a # sconcat :: NonEmpty (Xor a) -> Xor a # stimes :: Integral b => b -> Xor a -> Xor a #
Semigroup (FromMaybe b)
Instance details Defined in Data.Foldable1 Methods (<>) :: FromMaybe b -> FromMaybe b -> FromMaybe b # sconcat :: NonEmpty (FromMaybe b) -> FromMaybe b # stimes :: Integral b0 => b0 -> FromMaybe b -> FromMaybe b #
Semigroup a => Semigroup (JoinWith a)
Instance details Defined in Data.Foldable1 Methods (<>) :: JoinWith a -> JoinWith a -> JoinWith a # sconcat :: NonEmpty (JoinWith a) -> JoinWith a # stimes :: Integral b => b -> JoinWith a -> JoinWith a #
Semigroup (NonEmptyDList a)
Instance details Defined in Data.Foldable1 Methods (<>) :: NonEmptyDList a -> NonEmptyDList a -> NonEmptyDList a # sconcat :: NonEmpty (NonEmptyDList a) -> NonEmptyDList a # stimes :: Integral b => b -> NonEmptyDList a -> NonEmptyDList a #
Semigroup (Comparison a)	`(<>)` on comparisons combines results with `(<>) @Ordering`. Without newtypes this equals `liftA2 (liftA2 (<>))`. (<>) :: Comparison a -> Comparison a -> Comparison a Comparison cmp <> Comparison cmp' = Comparison a a' -> cmp a a' <> cmp a a'
Instance details Defined in Data.Functor.Contravariant Methods (<>) :: Comparison a -> Comparison a -> Comparison a # sconcat :: NonEmpty (Comparison a) -> Comparison a # stimes :: Integral b => b -> Comparison a -> Comparison a #
Semigroup (Equivalence a)	`(<>)` on equivalences uses logical conjunction `(&&)` on the results. Without newtypes this equals `liftA2 (liftA2 (&&))`. (<>) :: Equivalence a -> Equivalence a -> Equivalence a Equivalence equiv <> Equivalence equiv' = Equivalence a b -> equiv a b && equiv' a b
Instance details Defined in Data.Functor.Contravariant Methods (<>) :: Equivalence a -> Equivalence a -> Equivalence a # sconcat :: NonEmpty (Equivalence a) -> Equivalence a # stimes :: Integral b => b -> Equivalence a -> Equivalence a #
Semigroup (Predicate a)	`(<>)` on predicates uses logical conjunction `(&&)` on the results. Without newtypes this equals `liftA2 (&&)`. (<>) :: Predicate a -> Predicate a -> Predicate a Predicate pred <> Predicate pred' = Predicate a -> pred a && pred' a
Instance details Defined in Data.Functor.Contravariant Methods (<>) :: Predicate a -> Predicate a -> Predicate a # sconcat :: NonEmpty (Predicate a) -> Predicate a # stimes :: Integral b => b -> Predicate a -> Predicate a #
Semigroup a => Semigroup (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (<>) :: Identity a -> Identity a -> Identity a # sconcat :: NonEmpty (Identity a) -> Identity a # stimes :: Integral b => b -> Identity a -> Identity a #
Semigroup (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Monoid Methods (<>) :: First a -> First a -> First a # sconcat :: NonEmpty (First a) -> First a # stimes :: Integral b => b -> First a -> First a #
Semigroup (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Monoid Methods (<>) :: Last a -> Last a -> Last a # sconcat :: NonEmpty (Last a) -> Last a # stimes :: Integral b => b -> Last a -> Last a #
Semigroup a => Semigroup (Down a)	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods (<>) :: Down a -> Down a -> Down a # sconcat :: NonEmpty (Down a) -> Down a # stimes :: Integral b => b -> Down a -> Down a #
Semigroup (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: First a -> First a -> First a # sconcat :: NonEmpty (First a) -> First a # stimes :: Integral b => b -> First a -> First a #
Semigroup (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Last a -> Last a -> Last a # sconcat :: NonEmpty (Last a) -> Last a # stimes :: Integral b => b -> Last a -> Last a #
Ord a => Semigroup (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Max a -> Max a -> Max a # sconcat :: NonEmpty (Max a) -> Max a # stimes :: Integral b => b -> Max a -> Max a #
Ord a => Semigroup (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Min a -> Min a -> Min a # sconcat :: NonEmpty (Min a) -> Min a # stimes :: Integral b => b -> Min a -> Min a #
Monoid m => Semigroup (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # sconcat :: NonEmpty (WrappedMonoid m) -> WrappedMonoid m # stimes :: Integral b => b -> WrappedMonoid m -> WrappedMonoid m #
Semigroup a => Semigroup (Dual a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Dual a -> Dual a -> Dual a # sconcat :: NonEmpty (Dual a) -> Dual a # stimes :: Integral b => b -> Dual a -> Dual a #
Semigroup (Endo a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Endo a -> Endo a -> Endo a # sconcat :: NonEmpty (Endo a) -> Endo a # stimes :: Integral b => b -> Endo a -> Endo a #
Num a => Semigroup (Product a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Product a -> Product a -> Product a # sconcat :: NonEmpty (Product a) -> Product a # stimes :: Integral b => b -> Product a -> Product a #
Num a => Semigroup (Sum a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Sum a -> Sum a -> Sum a # sconcat :: NonEmpty (Sum a) -> Sum a # stimes :: Integral b => b -> Sum a -> Sum a #
Semigroup (NonEmpty a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: NonEmpty a -> NonEmpty a -> NonEmpty a # sconcat :: NonEmpty (NonEmpty a) -> NonEmpty a # stimes :: Integral b => b -> NonEmpty a -> NonEmpty a #
Semigroup a => Semigroup (STM a)	Since: base-4.17.0.0
Instance details Defined in GHC.Conc.Sync Methods (<>) :: STM a -> STM a -> STM a # sconcat :: NonEmpty (STM a) -> STM a # stimes :: Integral b => b -> STM a -> STM a #
(Generic a, Semigroup (Rep a ())) => Semigroup (Generically a)	Since: base-4.17.0.0
Instance details Defined in GHC.Generics Methods (<>) :: Generically a -> Generically a -> Generically a # sconcat :: NonEmpty (Generically a) -> Generically a # stimes :: Integral b => b -> Generically a -> Generically a #
Semigroup p => Semigroup (Par1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: Par1 p -> Par1 p -> Par1 p # sconcat :: NonEmpty (Par1 p) -> Par1 p # stimes :: Integral b => b -> Par1 p -> Par1 p #
Semigroup (IntMap a)	Since: containers-0.5.7
Instance details Defined in Data.IntMap.Internal Methods (<>) :: IntMap a -> IntMap a -> IntMap a # sconcat :: NonEmpty (IntMap a) -> IntMap a # stimes :: Integral b => b -> IntMap a -> IntMap a #
Semigroup (Seq a)	Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods (<>) :: Seq a -> Seq a -> Seq a # sconcat :: NonEmpty (Seq a) -> Seq a # stimes :: Integral b => b -> Seq a -> Seq a #
Ord a => Semigroup (Intersection a)
Instance details Defined in Data.Set.Internal Methods (<>) :: Intersection a -> Intersection a -> Intersection a # sconcat :: NonEmpty (Intersection a) -> Intersection a # stimes :: Integral b => b -> Intersection a -> Intersection a #
Semigroup (MergeSet a)
Instance details Defined in Data.Set.Internal Methods (<>) :: MergeSet a -> MergeSet a -> MergeSet a # sconcat :: NonEmpty (MergeSet a) -> MergeSet a # stimes :: Integral b => b -> MergeSet a -> MergeSet a #
Ord a => Semigroup (Set a)	Since: containers-0.5.7
Instance details Defined in Data.Set.Internal Methods (<>) :: Set a -> Set a -> Set a # sconcat :: NonEmpty (Set a) -> Set a # stimes :: Integral b => b -> Set a -> Set a #
Semigroup a => Semigroup (IO a)	Since: base-4.10.0.0
Instance details Defined in GHC.Base Methods (<>) :: IO a -> IO a -> IO a # sconcat :: NonEmpty (IO a) -> IO a # stimes :: Integral b => b -> IO a -> IO a #
Semigroup a => Semigroup (Pos a)
Instance details Defined in Hedgehog.Internal.Discovery Methods (<>) :: Pos a -> Pos a -> Pos a # sconcat :: NonEmpty (Pos a) -> Pos a # stimes :: Integral b => b -> Pos a -> Pos a #
Semigroup a => Semigroup (Coverage a)
Instance details Defined in Hedgehog.Internal.Property Methods (<>) :: Coverage a -> Coverage a -> Coverage a # sconcat :: NonEmpty (Coverage a) -> Coverage a # stimes :: Integral b => b -> Coverage a -> Coverage a #
Semigroup a => Semigroup (Label a)
Instance details Defined in Hedgehog.Internal.Property Methods (<>) :: Label a -> Label a -> Label a # sconcat :: NonEmpty (Label a) -> Label a # stimes :: Integral b => b -> Label a -> Label a #
Semigroup (Doc a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (<>) :: Doc a -> Doc a -> Doc a # sconcat :: NonEmpty (Doc a) -> Doc a # stimes :: Integral b => b -> Doc a -> Doc a #
Semigroup (Doc ann)
Instance details Defined in Prettyprinter.Internal Methods (<>) :: Doc ann -> Doc ann -> Doc ann # sconcat :: NonEmpty (Doc ann) -> Doc ann # stimes :: Integral b => b -> Doc ann -> Doc ann #
Semigroup (Array a)
Instance details Defined in Data.Primitive.Array Methods (<>) :: Array a -> Array a -> Array a # sconcat :: NonEmpty (Array a) -> Array a # stimes :: Integral b => b -> Array a -> Array a #
Semigroup (PrimArray a)
Instance details Defined in Data.Primitive.PrimArray Methods (<>) :: PrimArray a -> PrimArray a -> PrimArray a # sconcat :: NonEmpty (PrimArray a) -> PrimArray a # stimes :: Integral b => b -> PrimArray a -> PrimArray a #
Semigroup (SmallArray a)
Instance details Defined in Data.Primitive.SmallArray Methods (<>) :: SmallArray a -> SmallArray a -> SmallArray a # sconcat :: NonEmpty (SmallArray a) -> SmallArray a # stimes :: Integral b => b -> SmallArray a -> SmallArray a #
Semigroup a => Semigroup (Q a)	Since: template-haskell-2.17.0.0
Instance details Defined in Language.Haskell.TH.Syntax Methods (<>) :: Q a -> Q a -> Q a # sconcat :: NonEmpty (Q a) -> Q a # stimes :: Integral b => b -> Q a -> Q a #
Semigroup (Validity k)
Instance details Defined in Data.HashMap.Internal.Debug Methods (<>) :: Validity k -> Validity k -> Validity k # sconcat :: NonEmpty (Validity k) -> Validity k # stimes :: Integral b => b -> Validity k -> Validity k #
Hashable a => Semigroup (HashSet a)
Instance details Defined in Data.HashSet.Internal Methods (<>) :: HashSet a -> HashSet a -> HashSet a # sconcat :: NonEmpty (HashSet a) -> HashSet a # stimes :: Integral b => b -> HashSet a -> HashSet a #
Semigroup (Vector a)
Instance details Defined in Data.Vector Methods (<>) :: Vector a -> Vector a -> Vector a # sconcat :: NonEmpty (Vector a) -> Vector a # stimes :: Integral b => b -> Vector a -> Vector a #
Prim a => Semigroup (Vector a)
Instance details Defined in Data.Vector.Primitive Methods (<>) :: Vector a -> Vector a -> Vector a # sconcat :: NonEmpty (Vector a) -> Vector a # stimes :: Integral b => b -> Vector a -> Vector a #
Storable a => Semigroup (Vector a)
Instance details Defined in Data.Vector.Storable Methods (<>) :: Vector a -> Vector a -> Vector a # sconcat :: NonEmpty (Vector a) -> Vector a # stimes :: Integral b => b -> Vector a -> Vector a #
Semigroup (Vector a)
Instance details Defined in Data.Vector.Strict Methods (<>) :: Vector a -> Vector a -> Vector a # sconcat :: NonEmpty (Vector a) -> Vector a # stimes :: Integral b => b -> Vector a -> Vector a #
Semigroup (Doc a)
Instance details Defined in Text.PrettyPrint.Annotated.WL Methods (<>) :: Doc a -> Doc a -> Doc a # sconcat :: NonEmpty (Doc a) -> Doc a # stimes :: Integral b => b -> Doc a -> Doc a #
Semigroup a => Semigroup (Maybe a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: Maybe a -> Maybe a -> Maybe a # sconcat :: NonEmpty (Maybe a) -> Maybe a # stimes :: Integral b => b -> Maybe a -> Maybe a #
Semigroup a => Semigroup (Solo a)	Since: base-4.15
Instance details Defined in GHC.Base Methods (<>) :: Solo a -> Solo a -> Solo a # sconcat :: NonEmpty (Solo a) -> Solo a # stimes :: Integral b => b -> Solo a -> Solo a #
Semigroup [a]	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: [a] -> [a] -> [a] # sconcat :: NonEmpty [a] -> [a] # stimes :: Integral b => b -> [a] -> [a] #
Semigroup (Either a b)	Since: base-4.9.0.0
Instance details Defined in Data.Either Methods (<>) :: Either a b -> Either a b -> Either a b # sconcat :: NonEmpty (Either a b) -> Either a b # stimes :: Integral b0 => b0 -> Either a b -> Either a b #
Semigroup a => Semigroup (Op a b)	`(<>) @(Op a b)` without newtypes is `(<>) @(b->a)` = `liftA2 (<>)`. This lifts the `Semigroup` operation `(<>)` over the output of `a`. (<>) :: Op a b -> Op a b -> Op a b Op f <> Op g = Op a -> f a <> g a
Instance details Defined in Data.Functor.Contravariant Methods (<>) :: Op a b -> Op a b -> Op a b # sconcat :: NonEmpty (Op a b) -> Op a b # stimes :: Integral b0 => b0 -> Op a b -> Op a b #
Semigroup (Proxy s)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods (<>) :: Proxy s -> Proxy s -> Proxy s # sconcat :: NonEmpty (Proxy s) -> Proxy s # stimes :: Integral b => b -> Proxy s -> Proxy s #
Semigroup (U1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: U1 p -> U1 p -> U1 p # sconcat :: NonEmpty (U1 p) -> U1 p # stimes :: Integral b => b -> U1 p -> U1 p #
Semigroup (V1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: V1 p -> V1 p -> V1 p # sconcat :: NonEmpty (V1 p) -> V1 p # stimes :: Integral b => b -> V1 p -> V1 p #
Semigroup a => Semigroup (ST s a)	Since: base-4.11.0.0
Instance details Defined in GHC.ST Methods (<>) :: ST s a -> ST s a -> ST s a # sconcat :: NonEmpty (ST s a) -> ST s a # stimes :: Integral b => b -> ST s a -> ST s a #
Ord k => Semigroup (Map k v)
Instance details Defined in Data.Map.Internal Methods (<>) :: Map k v -> Map k v -> Map k v # sconcat :: NonEmpty (Map k v) -> Map k v # stimes :: Integral b => b -> Map k v -> Map k v #
Semigroup (Format r (a -> r))
Instance details Defined in Formatting.Internal Methods (<>) :: Format r (a -> r) -> Format r (a -> r) -> Format r (a -> r) # sconcat :: NonEmpty (Format r (a -> r)) -> Format r (a -> r) # stimes :: Integral b => b -> Format r (a -> r) -> Format r (a -> r) #
(Monad m, Semigroup a) => Semigroup (GenT m a)
Instance details Defined in Hedgehog.Internal.Gen Methods (<>) :: GenT m a -> GenT m a -> GenT m a # sconcat :: NonEmpty (GenT m a) -> GenT m a # stimes :: Integral b => b -> GenT m a -> GenT m a #
Applicative f => Semigroup (Traversed a f)
Instance details Defined in Lens.Micro Methods (<>) :: Traversed a f -> Traversed a f -> Traversed a f # sconcat :: NonEmpty (Traversed a f) -> Traversed a f # stimes :: Integral b => b -> Traversed a f -> Traversed a f #
Hashable k => Semigroup (HashMap k v)
Instance details Defined in Data.HashMap.Internal Methods (<>) :: HashMap k v -> HashMap k v -> HashMap k v # sconcat :: NonEmpty (HashMap k v) -> HashMap k v # stimes :: Integral b => b -> HashMap k v -> HashMap k v #
(Semigroup a, Semigroup b) => Semigroup (a, b)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a, b) -> (a, b) -> (a, b) # sconcat :: NonEmpty (a, b) -> (a, b) # stimes :: Integral b0 => b0 -> (a, b) -> (a, b) #
Semigroup b => Semigroup (a -> b)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a -> b) -> (a -> b) -> a -> b # sconcat :: NonEmpty (a -> b) -> a -> b # stimes :: Integral b0 => b0 -> (a -> b) -> a -> b #
Semigroup a => Semigroup (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (<>) :: Const a b -> Const a b -> Const a b # sconcat :: NonEmpty (Const a b) -> Const a b # stimes :: Integral b0 => b0 -> Const a b -> Const a b #
(Applicative f, Semigroup a) => Semigroup (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods (<>) :: Ap f a -> Ap f a -> Ap f a # sconcat :: NonEmpty (Ap f a) -> Ap f a # stimes :: Integral b => b -> Ap f a -> Ap f a #
Alternative f => Semigroup (Alt f a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Alt f a -> Alt f a -> Alt f a # sconcat :: NonEmpty (Alt f a) -> Alt f a # stimes :: Integral b => b -> Alt f a -> Alt f a #
Semigroup (f p) => Semigroup (Rec1 f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: Rec1 f p -> Rec1 f p -> Rec1 f p # sconcat :: NonEmpty (Rec1 f p) -> Rec1 f p # stimes :: Integral b => b -> Rec1 f p -> Rec1 f p #
Semigroup a => Semigroup (Tagged s a)
Instance details Defined in Data.Tagged Methods (<>) :: Tagged s a -> Tagged s a -> Tagged s a # sconcat :: NonEmpty (Tagged s a) -> Tagged s a # stimes :: Integral b => b -> Tagged s a -> Tagged s a #
Semigroup a => Semigroup (Constant a b)
Instance details Defined in Data.Functor.Constant Methods (<>) :: Constant a b -> Constant a b -> Constant a b # sconcat :: NonEmpty (Constant a b) -> Constant a b # stimes :: Integral b0 => b0 -> Constant a b -> Constant a b #
(Semigroup a, Semigroup b, Semigroup c) => Semigroup (a, b, c)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a, b, c) -> (a, b, c) -> (a, b, c) # sconcat :: NonEmpty (a, b, c) -> (a, b, c) # stimes :: Integral b0 => b0 -> (a, b, c) -> (a, b, c) #
(Semigroup (f a), Semigroup (g a)) => Semigroup (Product f g a)	Since: base-4.16.0.0
Instance details Defined in Data.Functor.Product Methods (<>) :: Product f g a -> Product f g a -> Product f g a # sconcat :: NonEmpty (Product f g a) -> Product f g a # stimes :: Integral b => b -> Product f g a -> Product f g a #
(Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: (f :: g) p -> (f :: g) p -> (f :: g) p # sconcat :: NonEmpty ((f :: g) p) -> (f :: g) p # stimes :: Integral b => b -> (f :: g) p -> (f :*: g) p #
Semigroup c => Semigroup (K1 i c p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: K1 i c p -> K1 i c p -> K1 i c p # sconcat :: NonEmpty (K1 i c p) -> K1 i c p # stimes :: Integral b => b -> K1 i c p -> K1 i c p #
(Semigroup a, Semigroup b, Semigroup c, Semigroup d) => Semigroup (a, b, c, d)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) # sconcat :: NonEmpty (a, b, c, d) -> (a, b, c, d) # stimes :: Integral b0 => b0 -> (a, b, c, d) -> (a, b, c, d) #
Semigroup (f (g a)) => Semigroup (Compose f g a)	Since: base-4.16.0.0
Instance details Defined in Data.Functor.Compose Methods (<>) :: Compose f g a -> Compose f g a -> Compose f g a # sconcat :: NonEmpty (Compose f g a) -> Compose f g a # stimes :: Integral b => b -> Compose f g a -> Compose f g a #
Semigroup (f (g p)) => Semigroup ((f :.: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p # sconcat :: NonEmpty ((f :.: g) p) -> (f :.: g) p # stimes :: Integral b => b -> (f :.: g) p -> (f :.: g) p #
Semigroup (f p) => Semigroup (M1 i c f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: M1 i c f p -> M1 i c f p -> M1 i c f p # sconcat :: NonEmpty (M1 i c f p) -> M1 i c f p # stimes :: Integral b => b -> M1 i c f p -> M1 i c f p #
(Semigroup a, Semigroup b, Semigroup c, Semigroup d, Semigroup e) => Semigroup (a, b, c, d, e)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) # sconcat :: NonEmpty (a, b, c, d, e) -> (a, b, c, d, e) # stimes :: Integral b0 => b0 -> (a, b, c, d, e) -> (a, b, c, d, e) #

newtype Min a #

The Min Monoid and Semigroup always choose the smaller element as by the Ord instance and min of the contained type.

Examples

Expand

>>> Min 42 <> Min 3
Min 3

>>> sconcat $ Min 1 :| [ Min n | n <- [2 .. 100]]
Min {getMin = 1}

Constructors

Min
Fields getMin :: a

Instances

Instances details

Functor Min Source #

Instance details

Defined in Data.Array.Accelerate.Data.Functor

Methods

fmap :: (Elt a, Elt b, Elt (Min a), Elt (Min b)) => (Exp a -> Exp b) -> Exp (Min a) -> Exp (Min b) Source #

(<$) :: (Elt a, Elt b, Elt (Min a), Elt (Min b)) => Exp a -> Exp (Min b) -> Exp (Min a) Source #

MonadFix Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

Foldable Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fold :: Monoid m => Min m -> m #

foldMap :: Monoid m => (a -> m) -> Min a -> 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 #

toList :: Min a -> [a] #

null :: Min a -> Bool #

length :: Min a -> Int #

elem :: Eq a => a -> Min a -> Bool #

maximum :: Ord a => Min a -> a #

minimum :: Ord a => Min a -> a #

sum :: Num a => Min a -> a #

product :: Num a => Min a -> a #

Foldable1 Min

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Min m -> m #

foldMap1 :: Semigroup m => (a -> m) -> Min a -> m #

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

toNonEmpty :: Min a -> NonEmpty a #

maximum :: Ord a => Min a -> a #

minimum :: Ord a => Min a -> a #

head :: Min a -> a #

last :: Min a -> a #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Min a -> b #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Min a -> b #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Min a -> b #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Min a -> b #

Traversable Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

sequenceA :: Applicative f => Min (f a) -> f (Min a) #

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

sequence :: Monad m => Min (m a) -> m (Min a) #

Applicative Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> Min a #

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

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

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

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

Functor Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Monad Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

return :: a -> Min a #

NFData1 Min

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Min a -> () #

Generic1 Min

Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 Min = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Min a -> Rep1 Min a #

to1 :: Rep1 Min a -> Min a #

(Lift Exp a, Elt (Plain a)) => Lift Exp (Min a) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Associated Types

type Plain (Min a)
Instance details Defined in Data.Array.Accelerate.Data.Semigroup type Plain (Min a) = Min (Plain a)

Methods

lift :: Min a -> Exp (Plain (Min a)) Source #

Elt a => Unlift Exp (Min (Exp a)) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

unlift :: Exp (Plain (Min (Exp a))) -> Min (Exp a) Source #

Unbox a => Vector Vector (Min a)

Instance details

Defined in Data.Vector.Unboxed.Base

Methods

basicUnsafeFreeze :: Mutable Vector s (Min a) -> ST s (Vector (Min a))

basicUnsafeThaw :: Vector (Min a) -> ST s (Mutable Vector s (Min a))

basicLength :: Vector (Min a) -> Int

basicUnsafeSlice :: Int -> Int -> Vector (Min a) -> Vector (Min a)

basicUnsafeIndexM :: Vector (Min a) -> Int -> Box (Min a)

basicUnsafeCopy :: Mutable Vector s (Min a) -> Vector (Min a) -> ST s ()

elemseq :: Vector (Min a) -> Min a -> b -> b

Unbox a => MVector MVector (Min a)

Instance details

Defined in Data.Vector.Unboxed.Base

Methods

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

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

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

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

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

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

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

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

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

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

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

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

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

Eq a => Eq (Min a) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

(==) :: Exp (Min a) -> Exp (Min a) -> Exp Bool Source #

(/=) :: Exp (Min a) -> Exp (Min a) -> Exp Bool Source #

Ord a => Ord (Min a) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

(<) :: Exp (Min a) -> Exp (Min a) -> Exp Bool Source #

(>) :: Exp (Min a) -> Exp (Min a) -> Exp Bool Source #

(<=) :: Exp (Min a) -> Exp (Min a) -> Exp Bool Source #

(>=) :: Exp (Min a) -> Exp (Min a) -> Exp Bool Source #

min :: Exp (Min a) -> Exp (Min a) -> Exp (Min a) Source #

max :: Exp (Min a) -> Exp (Min a) -> Exp (Min a) Source #

compare :: Exp (Min a) -> Exp (Min a) -> Exp Ordering Source #

Elt a => Elt (Min a) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

eltR :: TypeR (EltR (Min a))

tagsR :: [TagR (EltR (Min a))]

fromElt :: Min a -> EltR (Min a)

toElt :: EltR (Min a) -> Min a

Data a => Data (Min a)

Since: base-4.9.0.0

Instance details

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) #

toConstr :: Min a -> Constr #

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 :: forall r r'. (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) #

(Ord a, Bounded a) => Monoid (Exp (Min a)) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

mempty :: Exp (Min a) #

mappend :: Exp (Min a) -> Exp (Min a) -> Exp (Min a) #

mconcat :: [Exp (Min a)] -> Exp (Min a) #

(Ord a, Bounded a) => Monoid (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

mempty :: Min a #

mappend :: Min a -> Min a -> Min a #

mconcat :: [Min a] -> Min a #

Ord a => Semigroup (Exp (Min a)) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

(<>) :: Exp (Min a) -> Exp (Min a) -> Exp (Min a) #

sconcat :: NonEmpty (Exp (Min a)) -> Exp (Min a) #

stimes :: Integral b => b -> Exp (Min a) -> Exp (Min a) #

Ord a => Semigroup (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(<>) :: Min a -> Min a -> Min a #

sconcat :: NonEmpty (Min a) -> Min a #

stimes :: Integral b => b -> Min a -> Min a #

Bounded a => Bounded (Exp (Min a)) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

minBound :: Exp (Min a) #

maxBound :: Exp (Min a) #

Bounded a => Bounded (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

minBound :: Min a #

maxBound :: Min a #

Enum a => Enum (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Min a -> Min a #

pred :: Min a -> Min a #

toEnum :: Int -> Min a #

fromEnum :: Min a -> Int #

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

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

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

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

Generic (Min a)

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (Min a) = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Min a -> Rep (Min a) x #

to :: Rep (Min a) x -> Min a #

Num a => Num (Exp (Min a)) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

(+) :: Exp (Min a) -> Exp (Min a) -> Exp (Min a) #

(-) :: Exp (Min a) -> Exp (Min a) -> Exp (Min a) #

(*) :: Exp (Min a) -> Exp (Min a) -> Exp (Min a) #

negate :: Exp (Min a) -> Exp (Min a) #

abs :: Exp (Min a) -> Exp (Min a) #

signum :: Exp (Min a) -> Exp (Min a) #

fromInteger :: Integer -> Exp (Min a) #

Num a => Num (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

(-) :: Min a -> Min a -> Min a #

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

negate :: Min a -> Min a #

abs :: Min a -> Min a #

signum :: Min a -> Min a #

fromInteger :: Integer -> Min a #

Read a => Read (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (Min a) #

readList :: ReadS [Min a] #

readPrec :: ReadPrec (Min a) #

readListPrec :: ReadPrec [Min a] #

Show a => Show (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

show :: Min a -> String #

showList :: [Min a] -> ShowS #

NFData a => NFData (Min a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Min a -> () #

Eq a => Eq (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Ord a => Ord (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

compare :: Min a -> Min a -> Ordering #

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

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

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

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

max :: Min a -> Min a -> Min a #

min :: Min a -> Min a -> Min a #

Hashable a => Hashable (Min a)

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Min a -> Int

hash :: Min a -> Int

Prim a => Prim (Min a)

Instance details

Defined in Data.Primitive.Types

Methods

sizeOfType# :: Proxy (Min a) -> Int#

sizeOf# :: Min a -> Int#

alignmentOfType# :: Proxy (Min a) -> Int#

alignment# :: Min a -> Int#

indexByteArray# :: ByteArray# -> Int# -> Min a

readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (# State# s, Min a #)

writeByteArray# :: MutableByteArray# s -> Int# -> Min a -> State# s -> State# s

setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Min a -> State# s -> State# s

indexOffAddr# :: Addr# -> Int# -> Min a

readOffAddr# :: Addr# -> Int# -> State# s -> (# State# s, Min a #)

writeOffAddr# :: Addr# -> Int# -> Min a -> State# s -> State# s

setOffAddr# :: Addr# -> Int# -> Int# -> Min a -> State# s -> State# s

Unbox a => Unbox (Min a)

Instance details

Defined in Data.Vector.Unboxed.Base

type Rep1 Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Min = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

newtype MVector s (Min a)

Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s (Min a) = MV_Min (MVector s a)

type Plain (Min a) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

type Plain (Min a) = Min (Plain a)

type Rep (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep (Min a) = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

newtype Vector (Min a)

Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector (Min a) = V_Min (Vector a)

pattern Min_ :: Elt a => Exp a -> Exp (Min a) Source #

newtype Max a #

The Max Monoid and Semigroup always choose the bigger element as by the Ord instance and max of the contained type.

Examples

Expand

>>> Max 42 <> Max 3
Max 42

>>> sconcat $ Max 1 :| [ Max n | n <- [2 .. 100]]
Max {getMax = 100}

Constructors

Max
Fields getMax :: a

Instances

Instances details

Functor Max Source #

Instance details

Defined in Data.Array.Accelerate.Data.Functor

Methods

fmap :: (Elt a, Elt b, Elt (Max a), Elt (Max b)) => (Exp a -> Exp b) -> Exp (Max a) -> Exp (Max b) Source #

(<$) :: (Elt a, Elt b, Elt (Max a), Elt (Max b)) => Exp a -> Exp (Max b) -> Exp (Max a) Source #

MonadFix Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

Foldable Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fold :: Monoid m => Max m -> m #

foldMap :: Monoid m => (a -> m) -> Max a -> 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 #

toList :: Max a -> [a] #

null :: Max a -> Bool #

length :: Max a -> Int #

elem :: Eq a => a -> Max a -> Bool #

maximum :: Ord a => Max a -> a #

minimum :: Ord a => Max a -> a #

sum :: Num a => Max a -> a #

product :: Num a => Max a -> a #

Foldable1 Max

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Max m -> m #

foldMap1 :: Semigroup m => (a -> m) -> Max a -> m #

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

toNonEmpty :: Max a -> NonEmpty a #

maximum :: Ord a => Max a -> a #

minimum :: Ord a => Max a -> a #

head :: Max a -> a #

last :: Max a -> a #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Max a -> b #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Max a -> b #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Max a -> b #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Max a -> b #

Traversable Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

sequenceA :: Applicative f => Max (f a) -> f (Max a) #

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

sequence :: Monad m => Max (m a) -> m (Max a) #

Applicative Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> Max a #

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

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

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

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

Functor Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Monad Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

return :: a -> Max a #

NFData1 Max

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Max a -> () #

Generic1 Max

Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 Max = D1 ('MetaData "Max" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Max" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMax") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Max a -> Rep1 Max a #

to1 :: Rep1 Max a -> Max a #

(Lift Exp a, Elt (Plain a)) => Lift Exp (Max a) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Associated Types

type Plain (Max a)
Instance details Defined in Data.Array.Accelerate.Data.Semigroup type Plain (Max a) = Max (Plain a)

Methods

lift :: Max a -> Exp (Plain (Max a)) Source #

Elt a => Unlift Exp (Max (Exp a)) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

unlift :: Exp (Plain (Max (Exp a))) -> Max (Exp a) Source #

Unbox a => Vector Vector (Max a)

Instance details

Defined in Data.Vector.Unboxed.Base

Methods

basicUnsafeFreeze :: Mutable Vector s (Max a) -> ST s (Vector (Max a))

basicUnsafeThaw :: Vector (Max a) -> ST s (Mutable Vector s (Max a))

basicLength :: Vector (Max a) -> Int

basicUnsafeSlice :: Int -> Int -> Vector (Max a) -> Vector (Max a)

basicUnsafeIndexM :: Vector (Max a) -> Int -> Box (Max a)

basicUnsafeCopy :: Mutable Vector s (Max a) -> Vector (Max a) -> ST s ()

elemseq :: Vector (Max a) -> Max a -> b -> b

Unbox a => MVector MVector (Max a)

Instance details

Defined in Data.Vector.Unboxed.Base

Methods

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

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

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

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

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

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

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

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

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

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

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

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

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

Eq a => Eq (Max a) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

(==) :: Exp (Max a) -> Exp (Max a) -> Exp Bool Source #

(/=) :: Exp (Max a) -> Exp (Max a) -> Exp Bool Source #

Ord a => Ord (Max a) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

(<) :: Exp (Max a) -> Exp (Max a) -> Exp Bool Source #

(>) :: Exp (Max a) -> Exp (Max a) -> Exp Bool Source #

(<=) :: Exp (Max a) -> Exp (Max a) -> Exp Bool Source #

(>=) :: Exp (Max a) -> Exp (Max a) -> Exp Bool Source #

min :: Exp (Max a) -> Exp (Max a) -> Exp (Max a) Source #

max :: Exp (Max a) -> Exp (Max a) -> Exp (Max a) Source #

compare :: Exp (Max a) -> Exp (Max a) -> Exp Ordering Source #

Elt a => Elt (Max a) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

eltR :: TypeR (EltR (Max a))

tagsR :: [TagR (EltR (Max a))]

fromElt :: Max a -> EltR (Max a)

toElt :: EltR (Max a) -> Max a

Data a => Data (Max a)

Since: base-4.9.0.0

Instance details

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) #

toConstr :: Max a -> Constr #

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 :: forall r r'. (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) #

(Ord a, Bounded a) => Monoid (Exp (Max a)) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

mempty :: Exp (Max a) #

mappend :: Exp (Max a) -> Exp (Max a) -> Exp (Max a) #

mconcat :: [Exp (Max a)] -> Exp (Max a) #

(Ord a, Bounded a) => Monoid (Max a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

mempty :: Max a #

mappend :: Max a -> Max a -> Max a #

mconcat :: [Max a] -> Max a #

Ord a => Semigroup (Exp (Max a)) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

(<>) :: Exp (Max a) -> Exp (Max a) -> Exp (Max a) #

sconcat :: NonEmpty (Exp (Max a)) -> Exp (Max a) #

stimes :: Integral b => b -> Exp (Max a) -> Exp (Max a) #

Ord a => Semigroup (Max a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(<>) :: Max a -> Max a -> Max a #

sconcat :: NonEmpty (Max a) -> Max a #

stimes :: Integral b => b -> Max a -> Max a #

Bounded a => Bounded (Exp (Max a)) Source #

Instance details

Defined in Data.Array.Accelerate.Data.Semigroup

Methods

minBound :: Exp (Max a) #

maxBound :: Exp (Max a) #

Bounded a => Bounded (Max a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

minBound :: Max a #

maxBound :: Max a #

Enum a => Enum (Max a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Max a -> Max a #

pred :: Max a -> Max a #

toEnum :: Int -> Max a #

fromEnum :: Max a -> Int #

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

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

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

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

Generic (Max a)

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (Max a) = D1 ('MetaData "Max" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Max" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMax") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))