| Copyright | (C) 2013-2016 University of Twente 2017 Myrtle Software Ltd Google Inc. |
|---|---|
| License | BSD2 (see the file LICENSE) |
| Maintainer | Christiaan Baaij <christiaan.baaij@gmail.com> |
| Safe Haskell | Unsafe |
| Language | Haskell2010 |
| Extensions |
|
Clash.Prelude
Contents
Description
CλaSH (pronounced ‘clash’) is a functional hardware description language that borrows both its syntax and semantics from the functional programming language Haskell. The merits of using a functional language to describe hardware comes from the fact that combinational circuits can be directly modeled as mathematical functions and that functional languages lend themselves very well at describing and (de-)composing mathematical functions.
This package provides:
- Prelude library containing datatypes and functions for circuit design
To use the library:
- Import Clash.Prelude; by default clock and reset lines are implicitly routed for all the components found in Clash.Prelude. You can read more about implicit clock and reset lines in Clash.Signal
- Alternatively, if you want to explicitly route clock and reset ports, for more straightforward multi-clock designs, you can import the Clash.Explicit.Prelude module. Note that you should not import Clash.Prelude and Clash.Explicit.Prelude at the same time as they have overlapping definitions.
For now, Clash.Prelude is also the best starting point for exploring the library. A preliminary version of a tutorial can be found in Clash.Tutorial. Some circuit examples can be found in Clash.Examples.
Synopsis
- mealy :: HiddenClockReset domain gated synchronous => (s -> i -> (s, o)) -> s -> Signal domain i -> Signal domain o
- mealyB :: (Bundle i, Bundle o, HiddenClockReset domain gated synchronous) => (s -> i -> (s, o)) -> s -> Unbundled domain i -> Unbundled domain o
- (<^>) :: (Bundle i, Bundle o, HiddenClockReset domain gated synchronous) => (s -> i -> (s, o)) -> s -> Unbundled domain i -> Unbundled domain o
- moore :: HiddenClockReset domain gated synchronous => (s -> i -> s) -> (s -> o) -> s -> Signal domain i -> Signal domain o
- mooreB :: (Bundle i, Bundle o, HiddenClockReset domain gated synchronous) => (s -> i -> s) -> (s -> o) -> s -> Unbundled domain i -> Unbundled domain o
- registerB :: (HiddenClockReset domain gated synchronous, Bundle a) => a -> Unbundled domain a -> Unbundled domain a
- asyncRom :: (KnownNat n, Enum addr) => Vec n a -> addr -> a
- asyncRomPow2 :: KnownNat n => Vec (2 ^ n) a -> Unsigned n -> a
- rom :: (KnownNat n, KnownNat m, HiddenClock domain gated) => Vec n a -> Signal domain (Unsigned m) -> Signal domain a
- romPow2 :: (KnownNat n, HiddenClock domain gated) => Vec (2 ^ n) a -> Signal domain (Unsigned n) -> Signal domain a
- asyncRomFile :: (KnownNat m, Enum addr) => SNat n -> FilePath -> addr -> BitVector m
- asyncRomFilePow2 :: forall n m. (KnownNat m, KnownNat n) => FilePath -> Unsigned n -> BitVector m
- romFile :: (KnownNat m, KnownNat n, HiddenClock domain gated) => SNat n -> FilePath -> Signal domain (Unsigned n) -> Signal domain (BitVector m)
- romFilePow2 :: forall n m domain gated. (KnownNat m, KnownNat n, HiddenClock domain gated) => FilePath -> Signal domain (Unsigned n) -> Signal domain (BitVector m)
- asyncRam :: (Enum addr, HiddenClock domain gated, HasCallStack) => SNat n -> Signal domain addr -> Signal domain (Maybe (addr, a)) -> Signal domain a
- asyncRamPow2 :: (KnownNat n, HiddenClock domain gated, HasCallStack) => Signal domain (Unsigned n) -> Signal domain (Maybe (Unsigned n, a)) -> Signal domain a
- blockRam :: (Enum addr, HiddenClock domain gated, HasCallStack) => Vec n a -> Signal domain addr -> Signal domain (Maybe (addr, a)) -> Signal domain a
- blockRamPow2 :: (KnownNat n, HiddenClock domain gated, HasCallStack) => Vec (2 ^ n) a -> Signal domain (Unsigned n) -> Signal domain (Maybe (Unsigned n, a)) -> Signal domain a
- blockRamFile :: (KnownNat m, Enum addr, HiddenClock domain gated, HasCallStack) => SNat n -> FilePath -> Signal domain addr -> Signal domain (Maybe (addr, BitVector m)) -> Signal domain (BitVector m)
- blockRamFilePow2 :: forall domain gated n m. (KnownNat m, KnownNat n, HiddenClock domain gated, HasCallStack) => FilePath -> Signal domain (Unsigned n) -> Signal domain (Maybe (Unsigned n, BitVector m)) -> Signal domain (BitVector m)
- readNew :: (Eq addr, HiddenClockReset domain gated synchronous) => (Signal domain addr -> Signal domain (Maybe (addr, a)) -> Signal domain a) -> Signal domain addr -> Signal domain (Maybe (addr, a)) -> Signal domain a
- window :: (KnownNat n, Default a, HiddenClockReset domain gated synchronous) => Signal domain a -> Vec (n + 1) (Signal domain a)
- windowD :: (KnownNat n, Default a, HiddenClockReset domain gated synchronous) => Signal domain a -> Vec (n + 1) (Signal domain a)
- isRising :: (HiddenClockReset domain gated synchronous, Bounded a, Eq a) => a -> Signal domain a -> Signal domain Bool
- isFalling :: (HiddenClockReset domain gated synchronous, Bounded a, Eq a) => a -> Signal domain a -> Signal domain Bool
- riseEvery :: HiddenClockReset domain gated synchronous => SNat n -> Signal domain Bool
- oscillate :: HiddenClockReset domain gated synchronous => Bool -> SNat n -> Signal domain Bool
- module Clash.Signal
- module Clash.Signal.Delayed
- module Clash.Prelude.DataFlow
- module Clash.Sized.BitVector
- module Clash.Prelude.BitIndex
- module Clash.Prelude.BitReduction
- module Clash.Sized.Signed
- module Clash.Sized.Unsigned
- module Clash.Sized.Index
- module Clash.Sized.Fixed
- module Clash.Sized.Vector
- module Clash.Sized.RTree
- module Clash.Annotations.TopEntity
- module GHC.TypeLits
- module GHC.TypeLits.Extra
- module Clash.Promoted.Nat
- module Clash.Promoted.Nat.Literals
- module Clash.Promoted.Nat.TH
- module Clash.Promoted.Symbol
- class Lift t where
- module Clash.Class.BitPack
- module Clash.Class.Num
- module Clash.Class.Resize
- module Control.Applicative
- module Data.Bits
- module Data.Default
- module Clash.XException
- undefined :: HasCallStack => a
- module Clash.NamedTypes
- module Clash.Hidden
- seq :: a -> b -> b
- filter :: (a -> Bool) -> [a] -> [a]
- print :: Show a => a -> IO ()
- fst :: (a, b) -> a
- snd :: (a, b) -> b
- otherwise :: Bool
- ($) :: (a -> b) -> a -> b
- fromIntegral :: (Integral a, Num b) => a -> b
- realToFrac :: (Real a, Fractional b) => a -> b
- class Bounded a where
- class Enum a where
- class Eq a where
- class Fractional a => Floating a where
- class Num a => Fractional a where
- class (Real a, Enum a) => Integral a where
- class Applicative m => Monad (m :: * -> *) where
- class Functor (f :: * -> *) where
- class Num a where
- class Eq a => Ord a where
- class Read a where
- class (Num a, Ord a) => Real a where
- class (RealFrac a, Floating a) => RealFloat a where
- class (Real a, Fractional a) => RealFrac a where
- class Show a where
- class Functor f => Applicative (f :: * -> *) where
- class Foldable (t :: * -> *) where
- class (Functor t, Foldable t) => Traversable (t :: * -> *) where
- class Semigroup a where
- class Semigroup a => Monoid a where
- data Bool
- data Char
- data Double
- data Float
- data Int
- data Integer
- data Maybe a
- data Ordering
- type Rational = Ratio Integer
- data IO a
- data Word
- data Either a b
- type String = [Char]
- id :: a -> a
- either :: (a -> c) -> (b -> c) -> Either a b -> c
- readIO :: Read a => String -> IO a
- readLn :: Read a => IO a
- appendFile :: FilePath -> String -> IO ()
- writeFile :: FilePath -> String -> IO ()
- readFile :: FilePath -> IO String
- interact :: (String -> String) -> IO ()
- getContents :: IO String
- getLine :: IO String
- getChar :: IO Char
- putStrLn :: String -> IO ()
- putStr :: String -> IO ()
- putChar :: Char -> IO ()
- ioError :: IOError -> IO a
- type FilePath = String
- userError :: String -> IOError
- type IOError = IOException
- notElem :: (Foldable t, Eq a) => a -> t a -> Bool
- all :: Foldable t => (a -> Bool) -> t a -> Bool
- any :: Foldable t => (a -> Bool) -> t a -> Bool
- or :: Foldable t => t Bool -> Bool
- and :: Foldable t => t Bool -> Bool
- concatMap :: Foldable t => (a -> [b]) -> t a -> [b]
- sequence_ :: (Foldable t, Monad m) => t (m a) -> m ()
- mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m ()
- unwords :: [String] -> String
- words :: String -> [String]
- unlines :: [String] -> String
- lines :: String -> [String]
- read :: Read a => String -> a
- reads :: Read a => ReadS a
- lex :: ReadS String
- readParen :: Bool -> ReadS a -> ReadS a
- type ReadS a = String -> [(a, String)]
- (<$>) :: Functor f => (a -> b) -> f a -> f b
- lcm :: Integral a => a -> a -> a
- gcd :: Integral a => a -> a -> a
- (^^) :: (Fractional a, Integral b) => a -> b -> a
- (^) :: (Num a, Integral b) => a -> b -> a
- odd :: Integral a => a -> Bool
- even :: Integral a => a -> Bool
- showParen :: Bool -> ShowS -> ShowS
- showString :: String -> ShowS
- showChar :: Char -> ShowS
- shows :: Show a => a -> ShowS
- type ShowS = String -> String
- lookup :: Eq a => a -> [(a, b)] -> Maybe b
- break :: (a -> Bool) -> [a] -> ([a], [a])
- span :: (a -> Bool) -> [a] -> ([a], [a])
- dropWhile :: (a -> Bool) -> [a] -> [a]
- takeWhile :: (a -> Bool) -> [a] -> [a]
- cycle :: [a] -> [a]
- scanr1 :: (a -> a -> a) -> [a] -> [a]
- scanl1 :: (a -> a -> a) -> [a] -> [a]
- maybe :: b -> (a -> b) -> Maybe a -> b
- uncurry :: (a -> b -> c) -> (a, b) -> c
- curry :: ((a, b) -> c) -> a -> b -> c
- subtract :: Num a => a -> a -> a
- asTypeOf :: a -> a -> a
- until :: (a -> Bool) -> (a -> a) -> a -> a
- ($!) :: (a -> b) -> a -> b
- flip :: (a -> b -> c) -> b -> a -> c
- (.) :: (b -> c) -> (a -> b) -> a -> c
- const :: a -> b -> a
- (=<<) :: Monad m => (a -> m b) -> m a -> m b
- errorWithoutStackTrace :: [Char] -> a
- error :: HasCallStack => [Char] -> a
- (&&) :: Bool -> Bool -> Bool
- (||) :: Bool -> Bool -> Bool
- not :: Bool -> Bool
Creating synchronous sequential circuits
Arguments
| :: HiddenClockReset domain gated synchronous | |
| => (s -> i -> (s, o)) | Transfer function in mealy machine form:
|
| -> s | Initial state |
| -> Signal domain i -> Signal domain o | Synchronous sequential function with input and output matching that of the mealy machine |
Create a synchronous function from a combinational function describing a mealy machine
macT
:: Int -- Current state
-> (Int,Int) -- Input
-> (Int,Int) -- (Updated state, output)
macT s (x,y) = (s',s)
where
s' = x * y + s
mac :: HiddenClockReset domain gated synchronous => Signal domain (Int, Int) -> Signal domain Int
mac = mealy macT 0
>>>simulate mac [(1,1),(2,2),(3,3),(4,4)][0,1,5,14... ...
Synchronous sequential functions can be composed just like their combinational counterpart:
dualMac :: HiddenClockReset domain gated synchronous => (Signaldomain Int,Signaldomain Int) -> (Signaldomain Int,Signaldomain Int) ->Signaldomain Int dualMac (a,b) (x,y) = s1 + s2 where s1 =mealymac 0 (bundle(a,x)) s2 =mealymac 0 (bundle(b,y))
Arguments
| :: (Bundle i, Bundle o, HiddenClockReset domain gated synchronous) | |
| => (s -> i -> (s, o)) | Transfer function in mealy machine form:
|
| -> s | Initial state |
| -> Unbundled domain i -> Unbundled domain o | Synchronous sequential function with input and output matching that of the mealy machine |
A version of mealy that does automatic Bundleing
Given a function f of type:
f :: Int -> (Bool, Int) -> (Int, (Int, Bool))
When we want to make compositions of f in g using mealy, we have to
write:
g a b c = (b1,b2,i2)
where
(i1,b1) = unbundle (mealy f 0 (bundle (a,b)))
(i2,b2) = unbundle (mealy f 3 (bundle (i1,c)))
Using mealyB however we can write:
g a b c = (b1,b2,i2)
where
(i1,b1) = mealyB f 0 (a,b)
(i2,b2) = mealyB f 3 (i1,c)
Arguments
| :: (Bundle i, Bundle o, HiddenClockReset domain gated synchronous) | |
| => (s -> i -> (s, o)) | Transfer function in mealy machine form:
|
| -> s | Initial state |
| -> Unbundled domain i -> Unbundled domain o | Synchronous sequential function with input and output matching that of the mealy machine |
Infix version of mealyB
Arguments
| :: HiddenClockReset domain gated synchronous | |
| => (s -> i -> s) | Transfer function in moore machine form:
|
| -> (s -> o) | Output function in moore machine form:
|
| -> s | Initial state |
| -> Signal domain i -> Signal domain o | Synchronous sequential function with input and output matching that of the moore machine |
Create a synchronous function from a combinational function describing a moore machine
macT :: Int -- Current state
-> (Int,Int) -- Input
-> Int -- Updated state
macT s (x,y) = x * y + s
mac :: HiddenClockReset domain gated synchronous => Signal domain (Int, Int) -> Signal domain Int
mac = moore mac id 0
>>>simulate mac [(1,1),(2,2),(3,3),(4,4)][0,1,5,14... ...
Synchronous sequential functions can be composed just like their combinational counterpart:
dualMac :: HiddenClockReset domain gated synchronous => (Signaldomain Int,Signaldomain Int) -> (Signaldomain Int,Signaldomain Int) ->Signaldomain Int dualMac (a,b) (x,y) = s1 + s2 where s1 =mooremac id 0 (bundle(a,x)) s2 =mooremac id 0 (bundle(b,y))
Arguments
| :: (Bundle i, Bundle o, HiddenClockReset domain gated synchronous) | |
| => (s -> i -> s) | Transfer function in moore machine form:
|
| -> (s -> o) | Output function in moore machine form:
|
| -> s | Initial state |
| -> Unbundled domain i -> Unbundled domain o | Synchronous sequential function with input and output matching that of the moore machine |
A version of moore that does automatic Bundleing
Given a functions t and o of types:
t :: Int -> (Bool, Int) -> Int o :: Int -> (Int, Bool)
When we want to make compositions of t and o in g using moore, we have to
write:
g a b c = (b1,b2,i2)
where
(i1,b1) = unbundle (moore t o 0 (bundle (a,b)))
(i2,b2) = unbundle (moore t o 3 (bundle (i1,c)))
Using mooreB however we can write:
g a b c = (b1,b2,i2)
where
(i1,b1) = mooreB t o 0 (a,b)
(i2,b2) = mooreB t o 3 (i1,c)
registerB :: (HiddenClockReset domain gated synchronous, Bundle a) => a -> Unbundled domain a -> Unbundled domain a infixr 3 #
Create a register function for product-type like signals (e.g. '(Signal a, Signal b)')
rP :: HiddenClockReset domain gated synchronous => (Signal domain Int, Signal domain Int) -> (Signal domain Int, Signal domain Int) rP = registerB (8,8)
>>>simulateB rP [(1,1),(2,2),(3,3)] :: [(Int,Int)][(8,8),(1,1),(2,2),(3,3)... ...
ROMs
Arguments
| :: (KnownNat n, Enum addr) | |
| => Vec n a | ROM content NB: must be a constant |
| -> addr | Read address |
| -> a | The value of the ROM at address |
An asynchronous/combinational ROM with space for n elements
Additional helpful information:
- See Clash.Sized.Fixed and Clash.Prelude.BlockRam for ideas on how to use ROMs and RAMs
Arguments
| :: KnownNat n | |
| => Vec (2 ^ n) a | ROM content NB: must be a constant |
| -> Unsigned n | Read address |
| -> a | The value of the ROM at address |
An asynchronous/combinational ROM with space for 2^n elements
Additional helpful information:
- See Clash.Sized.Fixed and Clash.Prelude.BlockRam for ideas on how to use ROMs and RAMs
Arguments
| :: (KnownNat n, KnownNat m, HiddenClock domain gated) | |
| => Vec n a | ROM content NB: must be a constant |
| -> Signal domain (Unsigned m) | Read address |
| -> Signal domain a | The value of the ROM at address |
A ROM with a synchronous read port, with space for n elements
- NB: Read value is delayed by 1 cycle
- NB: Initial output value is
undefined
Additional helpful information:
- See Clash.Sized.Fixed and Clash.Prelude.BlockRam for ideas on how to use ROMs and RAMs
Arguments
| :: (KnownNat n, HiddenClock domain gated) | |
| => Vec (2 ^ n) a | ROM content NB: must be a constant |
| -> Signal domain (Unsigned n) | Read address |
| -> Signal domain a | The value of the ROM at address |
A ROM with a synchronous read port, with space for 2^n elements
- NB: Read value is delayed by 1 cycle
- NB: Initial output value is
undefined
Additional helpful information:
- See Clash.Sized.Fixed and Clash.Prelude.BlockRam for ideas on how to use ROMs and RAMs
ROMs initialised with a data file
Arguments
| :: (KnownNat m, Enum addr) | |
| => SNat n | Size of the ROM |
| -> FilePath | File describing the content of the ROM |
| -> addr | Read address |
| -> BitVector m | The value of the ROM at address |
An asynchronous/combinational ROM with space for n elements
NB: This function might not work for specific combinations of code-generation backends and hardware targets. Please check the support table below:
| VHDL | Verilog | SystemVerilog | ===============+==========+==========+===============+ Altera/Quartus | Broken | Works | Works | Xilinx/ISE | Works | Works | Works | ASIC | Untested | Untested | Untested | ===============+==========+==========+===============+
Additional helpful information:
- See Clash.Prelude.ROM.File for more information on how to instantiate a ROM with the contents of a data file.
- See Clash.Sized.Fixed for ideas on how to create your own data files.
When you notice that
asyncRomFileis significantly slowing down your simulation, give it a monomorphic type signature. So instead of leaving the type to be inferred:myRomData = asyncRomFile d512 "memory.bin"
or giving it a polymorphic type signature:
myRomData :: Enum addr => addr -> BitVector 16 myRomData = asyncRomFile d512 "memory.bin"
you should give it a monomorphic type signature:
myRomData :: Unsigned 9 -> BitVector 16 myRomData = asyncRomFile d512 "memory.bin"
Arguments
| :: (KnownNat m, KnownNat n) | |
| => FilePath | File describing the content of the ROM |
| -> Unsigned n | Read address |
| -> BitVector m | The value of the ROM at address |
An asynchronous/combinational ROM with space for 2^n elements
NB: This function might not work for specific combinations of code-generation backends and hardware targets. Please check the support table below:
| VHDL | Verilog | SystemVerilog | ===============+==========+==========+===============+ Altera/Quartus | Broken | Works | Works | Xilinx/ISE | Works | Works | Works | ASIC | Untested | Untested | Untested | ===============+==========+==========+===============+
Additional helpful information:
- See Clash.Prelude.ROM.File for more information on how to instantiate a ROM with the contents of a data file.
- See Clash.Sized.Fixed for ideas on how to create your own data files.
When you notice that
asyncRomFilePow2is significantly slowing down your simulation, give it a monomorphic type signature. So instead of leaving the type to be inferred:myRomData = asyncRomFilePow2 "memory.bin"
you should give it a monomorphic type signature:
myRomData :: Unsigned 9 -> BitVector 16 myRomData = asyncRomFilePow2 "memory.bin"
Arguments
| :: (KnownNat m, KnownNat n, HiddenClock domain gated) | |
| => SNat n | Size of the ROM |
| -> FilePath | File describing the content of the ROM |
| -> Signal domain (Unsigned n) | Read address |
| -> Signal domain (BitVector m) | The value of the ROM at address |
A ROM with a synchronous read port, with space for n elements
- NB: Read value is delayed by 1 cycle
- NB: Initial output value is
undefined NB: This function might not work for specific combinations of code-generation backends and hardware targets. Please check the support table below:
| VHDL | Verilog | SystemVerilog | ===============+==========+==========+===============+ Altera/Quartus | Broken | Works | Works | Xilinx/ISE | Works | Works | Works | ASIC | Untested | Untested | Untested | ===============+==========+==========+===============+
Additional helpful information:
- See Clash.Prelude.ROM.File for more information on how to instantiate a ROM with the contents of a data file.
- See Clash.Sized.Fixed for ideas on how to create your own data files.
Arguments
| :: (KnownNat m, KnownNat n, HiddenClock domain gated) | |
| => FilePath | File describing the content of the ROM |
| -> Signal domain (Unsigned n) | Read address |
| -> Signal domain (BitVector m) | The value of the ROM at address |
A ROM with a synchronous read port, with space for 2^n elements
- NB: Read value is delayed by 1 cycle
- NB: Initial output value is
undefined NB: This function might not work for specific combinations of code-generation backends and hardware targets. Please check the support table below:
| VHDL | Verilog | SystemVerilog | ===============+==========+==========+===============+ Altera/Quartus | Broken | Works | Works | Xilinx/ISE | Works | Works | Works | ASIC | Untested | Untested | Untested | ===============+==========+==========+===============+
Additional helpful information:
- See Clash.Prelude.ROM.File for more information on how to instantiate a ROM with the contents of a data file.
- See Clash.Sized.Fixed for ideas on how to create your own data files.
RAM primitives with a combinational read port
Arguments
| :: (Enum addr, HiddenClock domain gated, HasCallStack) | |
| => SNat n | Size |
| -> Signal domain addr | Read address |
| -> Signal domain (Maybe (addr, a)) | (write address |
| -> Signal domain a | Value of the |
Create a RAM with space for n elements.
- NB: Initial content of the RAM is
undefined
Additional helpful information:
- See Clash.Prelude.BlockRam for more information on how to use a RAM.
Arguments
| :: (KnownNat n, HiddenClock domain gated, HasCallStack) | |
| => Signal domain (Unsigned n) | Read address |
| -> Signal domain (Maybe (Unsigned n, a)) | (write address |
| -> Signal domain a | Value of the |
Create a RAM with space for 2^n elements
- NB: Initial content of the RAM is
undefined
Additional helpful information:
- See Clash.Prelude.BlockRam for more information on how to use a RAM.
BlockRAM primitives
Arguments
| :: (Enum addr, HiddenClock domain gated, HasCallStack) | |
| => Vec n a | Initial content of the BRAM, also
determines the size, NB: MUST be a constant. |
| -> Signal domain addr | Read address |
| -> Signal domain (Maybe (addr, a)) | (write address |
| -> Signal domain a | Value of the |
Create a blockRAM with space for n elements.
- NB: Read value is delayed by 1 cycle
- NB: Initial output value is
undefined
bram40 ::HiddenClockdomain =>Signaldomain (Unsigned6) ->Signaldomain (Maybe (Unsigned6,Bit)) ->SignaldomainBitbram40 =blockRam(replicated40 1)
Additional helpful information:
- See Clash.Prelude.BlockRam for more information on how to use a Block RAM.
- Use the adapter
readNewfor obtaining write-before-read semantics like this:readNew (blockRam inits) rd wrM.
Arguments
| :: (KnownNat n, HiddenClock domain gated, HasCallStack) | |
| => Vec (2 ^ n) a | Initial content of the BRAM, also
determines the size, NB: MUST be a constant. |
| -> Signal domain (Unsigned n) | Read address |
| -> Signal domain (Maybe (Unsigned n, a)) | (write address |
| -> Signal domain a | Value of the |
Create a blockRAM with space for 2^n elements
- NB: Read value is delayed by 1 cycle
- NB: Initial output value is
undefined
bram32 ::HiddenClockdomain =>Signaldomain (Unsigned5) ->Signaldomain (Maybe (Unsigned5,Bit)) ->SignaldomainBitbram32 =blockRamPow2(replicated32 1)
Additional helpful information:
- See Clash.Prelude.BlockRam for more information on how to use a Block RAM.
- Use the adapter
readNewfor obtaining write-before-read semantics like this:readNew (blockRamPow2 inits) rd wrM.
BlockRAM primitives initialised with a data file
Arguments
| :: (KnownNat m, Enum addr, HiddenClock domain gated, HasCallStack) | |
| => SNat n | Size of the blockRAM |
| -> FilePath | File describing the initial content of the blockRAM |
| -> Signal domain addr | Read address |
| -> Signal domain (Maybe (addr, BitVector m)) | (write address |
| -> Signal domain (BitVector m) | Value of the |
Create a blockRAM with space for n elements
- NB: Read value is delayed by 1 cycle
- NB: Initial output value is
undefined NB: This function might not work for specific combinations of code-generation backends and hardware targets. Please check the support table below:
| VHDL | Verilog | SystemVerilog | ===============+==========+==========+===============+ Altera/Quartus | Broken | Works | Works | Xilinx/ISE | Works | Works | Works | ASIC | Untested | Untested | Untested | ===============+==========+==========+===============+
Additional helpful information:
- See Clash.Prelude.BlockRam for more information on how to use a Block RAM.
- Use the adapter
readNew'for obtaining write-before-read semantics like this:readNew' clk (blockRamFile' clk size file) rd wrM. - See Clash.Prelude.BlockRam.File for more information on how to instantiate a Block RAM with the contents of a data file.
- See Clash.Sized.Fixed for ideas on how to create your own data files.
Arguments
| :: (KnownNat m, KnownNat n, HiddenClock domain gated, HasCallStack) | |
| => FilePath | File describing the initial content of the blockRAM |
| -> Signal domain (Unsigned n) | Read address |
| -> Signal domain (Maybe (Unsigned n, BitVector m)) | (write address |
| -> Signal domain (BitVector m) | Value of the |
Create a blockRAM with space for 2^n elements
- NB: Read value is delayed by 1 cycle
- NB: Initial output value is
undefined NB: This function might not work for specific combinations of code-generation backends and hardware targets. Please check the support table below:
| VHDL | Verilog | SystemVerilog | ===============+==========+==========+===============+ Altera/Quartus | Broken | Works | Works | Xilinx/ISE | Works | Works | Works | ASIC | Untested | Untested | Untested | ===============+==========+==========+===============+
Additional helpful information:
- See Clash.Prelude.BlockRam for more information on how to use a Block RAM.
- Use the adapter
readNew'for obtaining write-before-read semantics like this:readNew' clk (blockRamFilePow2' clk file) rd wrM. - See Clash.Prelude.BlockRam.File for more information on how to instantiate a Block RAM with the contents of a data file.
- See Clash.Sized.Fixed for ideas on how to create your own data files.
BlockRAM read/write conflict resolution
Arguments
| :: (Eq addr, HiddenClockReset domain gated synchronous) | |
| => (Signal domain addr -> Signal domain (Maybe (addr, a)) -> Signal domain a) | The |
| -> Signal domain addr | Read address |
| -> Signal domain (Maybe (addr, a)) | (Write address |
| -> Signal domain a | Value of the |
Create read-after-write blockRAM from a read-before-write one (synchronised to system clock)
>>>import Clash.Prelude>>>:t readNew (blockRam (0 :> 1 :> Nil))readNew (blockRam (0 :> 1 :> Nil)) :: ... ... => Signal domain addr -> Signal domain (Maybe (addr, a)) -> Signal domain a
Utility functions
Arguments
| :: (KnownNat n, Default a, HiddenClockReset domain gated synchronous) | |
| => Signal domain a | Signal to create a window over |
| -> Vec (n + 1) (Signal domain a) | Window of at least size 1 |
Give a window over a Signal
window4 :: HiddenClockReset domain gated synchronous
=> Signal domain Int -> Vec 4 (Signal domain Int)
window4 = window>>>simulateB window4 [1::Int,2,3,4,5] :: [Vec 4 Int][<1,0,0,0>,<2,1,0,0>,<3,2,1,0>,<4,3,2,1>,<5,4,3,2>... ...
Arguments
| :: (KnownNat n, Default a, HiddenClockReset domain gated synchronous) | |
| => Signal domain a | Signal to create a window over |
| -> Vec (n + 1) (Signal domain a) | Window of at least size 1 |
Give a delayed window over a Signal
windowD3 :: HiddenClockReset domain gated synchronous
=> Signal domain Int -> Vec 3 (Signal domain Int)
windowD3 = windowD>>>simulateB windowD3 [1::Int,2,3,4] :: [Vec 3 Int][<0,0,0>,<1,0,0>,<2,1,0>,<3,2,1>,<4,3,2>... ...
riseEvery :: HiddenClockReset domain gated synchronous => SNat n -> Signal domain Bool #
Give a pulse every n clock cycles. This is a useful helper function when
combined with functions like or regEn,
in order to delay a register by a known amount.mux
To be precise: the given signal will be for the next Falsen-1 cycles,
followed by a single value:True
>>>Prelude.last (sampleN 1024 (riseEvery d1024)) == TrueTrue>>>Prelude.or (sampleN 1023 (riseEvery d1024)) == FalseTrue
For example, to update a counter once every 10 million cycles:
counter =regEn0 (riseEvery(SNat::SNat10000000)) (counter + 1)
oscillate :: HiddenClockReset domain gated synchronous => Bool -> SNat n -> Signal domain Bool #
Oscillate a for a given number of cycles. This is a convenient
function when combined with something like Bool, as it allows you to
easily hold a register value for a given number of cycles. The input regEn
determines what the initial value is.Bool
To oscillate on an interval of 5 cycles:
>>>sampleN 10 (oscillate False d5)[False,False,False,False,False,True,True,True,True,True]
To oscillate between and True:False
>>>sampleN 10 (oscillate False d1)[False,True,False,True,False,True,False,True,False,True]
An alternative definition for the above could be:
>>>let osc' = register False (not <$> osc')>>>let sample' = sampleN 200>>>sample' (oscillate False d1) == sample' osc'True
Exported modules
Synchronous signals
module Clash.Signal
module Clash.Signal.Delayed
DataFlow interface
module Clash.Prelude.DataFlow
Datatypes
Bit vectors
module Clash.Sized.BitVector
module Clash.Prelude.BitIndex
module Clash.Prelude.BitReduction
Arbitrary-width numbers
module Clash.Sized.Signed
module Clash.Sized.Unsigned
module Clash.Sized.Index
Fixed point numbers
module Clash.Sized.Fixed
Fixed size vectors
module Clash.Sized.Vector
Perfect depth trees
module Clash.Sized.RTree
Annotations
module Clash.Annotations.TopEntity
Type-level natural numbers
module GHC.TypeLits
module GHC.TypeLits.Extra
module Clash.Promoted.Nat
module Clash.Promoted.Nat.Literals
module Clash.Promoted.Nat.TH
Type-level strings
module Clash.Promoted.Symbol
Template Haskell
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 LiftMethods
Turn a value into a Template Haskell expression, suitable for use in a splice.
Instances
Type classes
Clash
module Clash.Class.BitPack
module Clash.Class.Num
module Clash.Class.Resize
Other
module Control.Applicative
module Data.Bits
module Data.Default
Exceptions
module Clash.XException
undefined :: HasCallStack => a #
Named types
module Clash.NamedTypes
Hidden arguments
module Clash.Hidden
Haskell Prelude
Clash.Prelude re-exports most of the Haskell Prelude with the exception of the following: (++), (!!), concat, drop, foldl, foldl1, foldr, foldr1, head, init, iterate, last, length, map, repeat, replicate, reverse, scanl, scanr, splitAt, tail, take, unzip, unzip3, zip, zip3, zipWith, zipWith3.
It instead exports the identically named functions defined in terms of
Vec at Clash.Sized.Vector.
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.
filter :: (a -> Bool) -> [a] -> [a] #
filter, applied to a predicate and a list, returns the list of
those elements that satisfy the predicate; i.e.,
filter p xs = [ x | x <- xs, p x]
print :: Show a => a -> IO () #
The print function outputs a value of any printable type to the
standard output device.
Printable types are those that are instances of class Show; print
converts values to strings for output using the show operation and
adds a newline.
For example, a program to print the first 20 integers and their powers of 2 could be written as:
main = print ([(n, 2^n) | n <- [0..19]])
($) :: (a -> b) -> a -> b infixr 0 #
Application operator. This operator is redundant, since ordinary
application (f x) means the same as (f . However, $ x)$ has
low, right-associative binding precedence, so it sometimes allows
parentheses to be omitted; for example:
f $ g $ h x = f (g (h x))
It is also useful in higher-order situations, such as ,
or map ($ 0) xs.zipWith ($) fs xs
fromIntegral :: (Integral a, Num b) => a -> b #
general coercion from integral types
realToFrac :: (Real a, Fractional b) => a -> b #
general coercion to fractional types
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..].
enumFromThen :: a -> a -> [a] #
Used in Haskell's translation of [n,n'..].
enumFromTo :: a -> a -> [a] #
Used in Haskell's translation of [n..m].
enumFromThenTo :: a -> a -> a -> [a] #
Used in Haskell's translation of [n,n'..m].
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.
Instances
class Fractional a => Floating a where #
Trigonometric and hyperbolic functions and related functions.
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.
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
class (Real a, Enum a) => Integral a where #
Integral numbers, supporting integer division.
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 :: * -> *) 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.
Fail with a message. This operation is not part of the
mathematical definition of a monad, but is invoked on pattern-match
failure in a do expression.
As part of the MonadFail proposal (MFP), this function is moved
to its own class MonadFail (see Control.Monad.Fail for more
details). The definition here will be removed in a future
release.
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 Rose | |
| Monad Gen | |
| 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 | |
| Monad Last | |
| 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 Tree | |
| Monad Seq | |
| Monad DList | |
| Monad Vector | |
| Monad Array | |
| Monad Id | |
| Monad Box | |
| Monad P | Since: base-2.1 |
| () :=> (Monad ((->) a :: * -> *)) | |
Defined in Data.Constraint | |
| () :=> (Monad []) | |
Defined in Data.Constraint | |
| () :=> (Monad IO) | |
| () :=> (Monad (Either a)) | |
| () :=> (Monad Identity) | |
| Monad (Either e) | Since: base-4.4.0.0 |
| Monad (U1 :: * -> *) | Since: base-4.9.0.0 |
| Monoid a => Monad ((,) a) | Since: base-4.9.0.0 |
| Monad (ST s) | Since: base-2.1 |
| Representable f => Monad (Co f) | |
| Monad m => Monad (WrappedMonad m) | |
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 :: * -> *) | Since: base-4.7.0.0 |
| Alternative f => Monad (Cofree f) | |
| Functor f => Monad (Free f) | |
| Monad m => Monad (Yoneda m) | |
| Monad (ReifiedGetter s) | |
Defined in Control.Lens.Reified Methods (>>=) :: ReifiedGetter s a -> (a -> ReifiedGetter s b) -> ReifiedGetter s b # (>>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b # return :: a -> ReifiedGetter s a # fail :: String -> ReifiedGetter s a # | |
| Monad (ReifiedFold s) | |
Defined in Control.Lens.Reified Methods (>>=) :: ReifiedFold s a -> (a -> ReifiedFold s b) -> ReifiedFold s b # (>>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b # return :: a -> ReifiedFold s a # fail :: String -> ReifiedFold s a # | |
| (Monad (Rep p), Representable p) => Monad (Prep p) | |
| Monad (SetM s) | |
| Class (Applicative f) (Monad f) | |
Defined in Data.Constraint Methods cls :: Monad f :- Applicative f # | |
| (Monad m) :=> (Functor (WrappedMonad m)) | |
Defined in Data.Constraint | |
| (Monad m) :=> (Applicative (WrappedMonad m)) | |
Defined in Data.Constraint Methods ins :: Monad m :- Applicative (WrappedMonad m) # | |
| Monad f => Monad (Rec1 f) | Since: base-4.9.0.0 |
| Monad f => Monad (Alt f) | |
| (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 # | |
| (Functor f, Monad m) => Monad (FreeT f m) | |
| (Alternative f, Monad w) => Monad (CofreeT f w) | |
| (Monad m, Error e) => Monad (ErrorT e m) | |
| Monad (Indexed i a) | |
| Monad m => Monad (StateT s m) | |
| Monad (Tagged s) | |
| Class (Monad f, Alternative f) (MonadPlus f) | |
Defined in Data.Constraint | |
| Monad ((->) r :: * -> *) | 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 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 # | |
class Functor (f :: * -> *) 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
Basic numeric class.
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
| Num Int | Since: base-2.1 |
| Num Int8 | Since: base-2.1 |
| Num Int16 | Since: base-2.1 |
| Num Int32 | Since: base-2.1 |
| Num Int64 | Since: base-2.1 |
| Num Integer | Since: base-2.1 |
| Num Natural | Since: base-4.8.0.0 |
| Num Word | Since: base-2.1 |
| Num Word8 | Since: base-2.1 |
| Num Word16 | Since: base-2.1 |
| Num Word32 | Since: base-2.1 |
| Num Word64 | Since: base-2.1 |
| Num CChar | |
| Num CSChar | |
| Num CUChar | |
| Num CShort | |
| Num CUShort | |
| Num CInt | |
| Num CUInt | |
| Num CLong | |
| Num CULong | |
| Num CLLong | |
| Num CULLong | |
| Num CBool | |
| Num CFloat | |
| Num CDouble | |
| Num CPtrdiff | |
| Num CSize | |
| Num CWchar | |
| Num CSigAtomic | |
Defined in Foreign.C.Types Methods (+) :: CSigAtomic -> CSigAtomic -> CSigAtomic # (-) :: CSigAtomic -> CSigAtomic -> CSigAtomic # (*) :: CSigAtomic -> CSigAtomic -> CSigAtomic # negate :: CSigAtomic -> CSigAtomic # abs :: CSigAtomic -> CSigAtomic # signum :: CSigAtomic -> CSigAtomic # fromInteger :: Integer -> CSigAtomic # | |
| Num CClock | |
| Num CTime | |
| Num CUSeconds | |
Defined in Foreign.C.Types | |
| Num CSUSeconds | |
Defined in Foreign.C.Types Methods (+) :: CSUSeconds -> CSUSeconds -> CSUSeconds # (-) :: CSUSeconds -> CSUSeconds -> CSUSeconds # (*) :: CSUSeconds -> CSUSeconds -> CSUSeconds # negate :: CSUSeconds -> CSUSeconds # abs :: CSUSeconds -> CSUSeconds # signum :: CSUSeconds -> CSUSeconds # fromInteger :: Integer -> CSUSeconds # | |
| Num CIntPtr | |
| Num CUIntPtr | |
| Num CIntMax | |
| Num CUIntMax | |
| Num Half | |
| Num Bit # | |
| Class () (Num a) | |
Defined in Data.Constraint | |
| () :=> (Num Double) | |
| () :=> (Num Float) | |
| () :=> (Num Int) | |
| () :=> (Num Integer) | |
| () :=> (Num Natural) | |
| () :=> (Num Word) | |
| Integral a => Num (Ratio a) | Since: base-2.0.1 |
| RealFloat a => Num (Complex a) | Since: base-2.1 |
| HasResolution a => Num (Fixed a) | Since: base-2.1 |
| Num a => Num (Min a) | Since: base-4.9.0.0 |
| Num a => Num (Max a) | Since: base-4.9.0.0 |
| Num a => Num (Identity a) | |
Defined in Data.Functor.Identity | |
| Num a => Num (Sum a) | |
| Num a => Num (Product a) | |
Defined in Data.Semigroup.Internal | |
| Num a => Num (Down a) | Since: base-4.11.0.0 |
| KnownNat n => Num (BitVector n) # | |
Defined in Clash.Sized.Internal.BitVector Methods (+) :: BitVector n -> BitVector n -> BitVector n # (-) :: BitVector n -> BitVector n -> BitVector n # (*) :: BitVector n -> BitVector n -> BitVector n # negate :: BitVector n -> BitVector n # abs :: BitVector n -> BitVector n # signum :: BitVector n -> BitVector n # fromInteger :: Integer -> BitVector n # | |
| KnownNat n => Num (Index n) # | Operators report an error on overflow and underflow |
| Num a => Num (Bounds a) | |
| KnownNat n => Num (Unsigned n) # | |
Defined in Clash.Sized.Internal.Unsigned | |
| KnownNat n => Num (Signed n) # | Operators do |
| Class (Num a) (Fractional a) | |
Defined in Data.Constraint Methods cls :: Fractional a :- Num a # | |
| (Integral a) :=> (Num (Ratio a)) | |
| (Num a) :=> (Num (Identity a)) | |
| (Num a) :=> (Num (Const a b)) | |
| (RealFloat a) :=> (Num (Complex a)) | |
| Num a => Num (Op a b) | |
| Num a => Num (Signal domain a) # | |
Defined in Clash.Signal.Internal Methods (+) :: Signal domain a -> Signal domain a -> Signal domain a # (-) :: Signal domain a -> Signal domain a -> Signal domain a # (*) :: Signal domain a -> Signal domain a -> Signal domain a # negate :: Signal domain a -> Signal domain a # abs :: Signal domain a -> Signal domain a # signum :: Signal domain a -> Signal domain a # fromInteger :: Integer -> Signal domain a # | |
| Class (Num a, Ord a) (Real a) | |
| Num a => Num (Const a b) | |
Defined in Data.Functor.Const | |
| Num (f a) => Num (Alt f a) | |
| Num a => Num (Tagged s a) | |
Defined in Data.Tagged | |
| NumFixedC rep int frac => Num (Fixed rep int frac) # | The operators of this instance saturate on overflow, and use truncation as the rounding method. When used in a polymorphic setting, use the following Constraint synonyms for less verbose type signatures:
|
Defined in Clash.Sized.Fixed Methods (+) :: Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac # (-) :: Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac # (*) :: Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac # negate :: Fixed rep int frac -> Fixed rep int frac # abs :: Fixed rep int frac -> Fixed rep int frac # signum :: Fixed rep int frac -> Fixed rep int frac # fromInteger :: Integer -> Fixed rep int frac # | |
| Num a => Num (DSignal domain delay a) # | |
Defined in Clash.Explicit.Signal.Delayed Methods (+) :: DSignal domain delay a -> DSignal domain delay a -> DSignal domain delay a # (-) :: DSignal domain delay a -> DSignal domain delay a -> DSignal domain delay a # (*) :: DSignal domain delay a -> DSignal domain delay a -> DSignal domain delay a # negate :: DSignal domain delay a -> DSignal domain delay a # abs :: DSignal domain delay a -> DSignal domain delay a # signum :: DSignal domain delay a -> DSignal domain delay a # fromInteger :: Integer -> DSignal domain delay a # | |
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.
Minimal complete definition: either compare or <=.
Using compare can be more efficient for complex types.
Methods
compare :: a -> a -> Ordering #
(<) :: a -> a -> Bool infix 4 #
(<=) :: a -> a -> Bool infix 4 #
(>) :: a -> a -> Bool infix 4 #
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
| Read Bool | Since: base-2.1 |
| Read Char | Since: base-2.1 |
| Read Double | Since: base-2.1 |
| Read Float | Since: base-2.1 |
| Read Int | Since: base-2.1 |
| Read Int8 | Since: base-2.1 |
| Read Int16 | Since: base-2.1 |
| Read Int32 | Since: base-2.1 |
| Read Int64 | Since: base-2.1 |
| Read Integer | Since: base-2.1 |
| Read Natural | Since: base-4.8.0.0 |
| Read Ordering | Since: base-2.1 |
| Read Word | Since: base-4.5.0.0 |
| Read Word8 | Since: base-2.1 |
| Read Word16 | Since: base-2.1 |
| Read Word32 | Since: base-2.1 |
| Read Word64 | Since: base-2.1 |
| Read () | Since: base-2.1 |
| Read Version | |
| Read QCGen | |
| Read Void | Reading a Since: base-4.8.0.0 |
| Read ExitCode | |
| Read All | |
| Read Any | |
| Read Fixity | |
| Read Associativity | |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS Associativity # readList :: ReadS [Associativity] # | |
| Read SourceUnpackedness | |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS SourceUnpackedness # readList :: ReadS [SourceUnpackedness] # | |
| Read SourceStrictness | |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS SourceStrictness # readList :: ReadS [SourceStrictness] # | |
| Read DecidedStrictness | |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS DecidedStrictness # readList :: ReadS [DecidedStrictness] # | |
| Read SomeSymbol | Since: base-4.7.0.0 |
Defined in GHC.TypeLits Methods readsPrec :: Int -> ReadS SomeSymbol # readList :: ReadS [SomeSymbol] # readPrec :: ReadPrec SomeSymbol # readListPrec :: ReadPrec [SomeSymbol] # | |
| Read SomeNat | Since: base-4.7.0.0 |
| Read CChar | |
| Read CSChar | |
| Read CUChar | |
| Read CShort | |
| Read CUShort | |
| Read CInt | |
| Read CUInt | |
| Read CLong | |
| Read CULong | |
| Read CLLong | |
| Read CULLong | |
| Read CBool | |
| Read CFloat | |
| Read CDouble | |
| Read CPtrdiff | |
| Read CSize | |
| Read CWchar | |
| Read CSigAtomic | |
Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CSigAtomic # readList :: ReadS [CSigAtomic] # readPrec :: ReadPrec CSigAtomic # readListPrec :: ReadPrec [CSigAtomic] # | |
| Read CClock | |
| Read CTime | |
| Read CUSeconds | |
| Read CSUSeconds | |
Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CSUSeconds # readList :: ReadS [CSUSeconds] # readPrec :: ReadPrec CSUSeconds # readListPrec :: ReadPrec [CSUSeconds] # | |
| Read CIntPtr | |
| Read CUIntPtr | |
| Read CIntMax | |
| Read CUIntMax | |
| Read Lexeme | Since: base-2.1 |
| Read GeneralCategory | |
Defined in GHC.Read Methods readsPrec :: Int -> ReadS GeneralCategory # readList :: ReadS [GeneralCategory] # | |
| Read ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] # | |
| Read ByteString | |
Defined in Data.ByteString.Internal Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] # | |
| Read IntSet | |
| Read Half | |
| Read DatatypeVariant | |
Defined in Language.Haskell.TH.Datatype Methods readsPrec :: Int -> ReadS DatatypeVariant # readList :: ReadS [DatatypeVariant] # | |
| Read Primitive # | |
| Read HDL # | |
| Class () (Read a) | |
Defined in Data.Constraint | |
| a :=> (Read (Dict a)) | |
| () :=> (Read Bool) | |
| () :=> (Read Char) | |
| () :=> (Read Int) | |
| () :=> (Read Natural) | |
| () :=> (Read Ordering) | |
| () :=> (Read Word) | |
| () :=> (Read ()) | |
Defined in Data.Constraint | |
| Read a => Read [a] | Since: base-2.1 |
| Read a => Read (Maybe a) | Since: base-2.1 |
| (Integral a, Read a) => Read (Ratio a) | Since: base-2.1 |
| Read p => Read (Par1 p) | |
| Read a => Read (Complex a) | |
| HasResolution a => Read (Fixed a) | Since: base-4.3.0.0 |
| Read a => Read (Min a) | |
| Read a => Read (Max a) | |
| Read a => Read (First a) | |
| Read a => Read (Last a) | |
| Read m => Read (WrappedMonoid m) | |
Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (WrappedMonoid m) # readList :: ReadS [WrappedMonoid m] # readPrec :: ReadPrec (WrappedMonoid m) # readListPrec :: ReadPrec [WrappedMonoid m] # | |
| Read a => Read (Option a) | |
| Read a => Read (ZipList a) | |
| Read a => Read (Identity a) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Read a => Read (First a) | |
| Read a => Read (Last a) | |
| Read a => Read (Dual a) | |
| Read a => Read (Sum a) | |
| Read a => Read (Product a) | |
| Read a => Read (Down a) | Since: base-4.7.0.0 |
| Read a => Read (NonEmpty a) | |
| a => Read (Dict a) | |
| Read e => Read (IntMap e) | |
| Read vertex => Read (SCC vertex) | Since: containers-0.5.9 |
| Read a => Read (Tree a) | |
| Read a => Read (Seq a) | |
| Read a => Read (ViewL a) | |
| Read a => Read (ViewR a) | |
| (Read a, Ord a) => Read (Set a) | |
| Read a => Read (DList a) | |
| (Read a, Prim a) => Read (Vector a) | |
| (Read a, Storable a) => Read (Vector a) | |
| (Eq a, Hashable a, Read a) => Read (HashSet a) | |
| Read a => Read (Vector a) | |
| Read a => Read (Array a) | |
| KnownNat n => Read (Index n) # | None of the |
| KnownNat n => Read (Unsigned n) # | None of the |
| KnownNat n => Read (Signed n) # | None of the |
| (Read a) :=> (Read (Complex a)) | |
| (Read a) :=> (Read [a]) | |
| (Read a) :=> (Read (Maybe a)) | |
| (Read a) :=> (Read (Identity a)) | |
| (Read a) :=> (Read (Const a b)) | |
| (Read a, Read b) => Read (Either a b) | |
| Read (V1 p) | Since: base-4.9.0.0 |
| Read (U1 p) | Since: base-4.9.0.0 |
| (Read a, Read b) => Read (a, b) | Since: base-2.1 |
| (Ix a, Read a, Read b) => Read (Array a b) | Since: base-2.1 |
| (Read a, Read b) => Read (Arg a b) | |
| Read (Proxy t) | Since: base-4.7.0.0 |
| (Ord k, Read k, Read e) => Read (Map k e) | |
| (Read1 f, Read a) => Read (Cofree f a) | |
| (Read1 f, Read a) => Read (Free f a) | |
| (Functor f, Read (f a)) => Read (Yoneda f a) | |
| (Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) | |
| (Read i, Read a) => Read (Level i a) | |
| (Integral a, Read a) :=> (Read (Ratio a)) | |
| (Read a, Read b) :=> (Read (a, b)) | |
| (Read a, Read b) :=> (Read (Either a b)) | |
| Read (f p) => Read (Rec1 f p) | |
| (Read a, Read b, Read c) => Read (a, b, c) | Since: base-2.1 |
| Read a => Read (Const a b) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Read (f a) => Read (Alt f a) | |
| a ~ b => Read (a :~: b) | Since: base-4.7.0.0 |
| Read (p a a) => Read (Join p a) | |
| Read (p (Fix p a) a) => Read (Fix p a) | |
| (Read a, Read (f b)) => Read (FreeF f a b) | |
| (Read1 f, Read1 m, Read a) => Read (FreeT f m a) | |
| (Read a, Read (f b)) => Read (CofreeF f a b) | |
| Read (w (CofreeF f a (CofreeT f w a))) => Read (CofreeT f w a) | |
| (Read e, Read1 m, Read a) => Read (ErrorT e m a) | |
| Read b => Read (Tagged s b) | |
| Read a => Read (Constant a b) | |
| (size ~ (int + frac), KnownNat frac, Bounded (rep size), Integral (rep size)) => Read (Fixed rep int frac) # | None of the |
| Read c => Read (K1 i c p) | |
| (Read (f p), Read (g p)) => Read ((f :+: g) p) | |
| (Read (f p), Read (g p)) => Read ((f :*: g) p) | |
| (Read a, Read b, Read c, Read d) => Read (a, b, c, d) | Since: base-2.1 |
| (Read1 f, Read1 g, Read a) => Read (Product f g a) | Since: base-4.9.0.0 |
| (Read1 f, Read1 g, Read a) => Read (Sum f g a) | Since: base-4.9.0.0 |
| a ~~ b => Read (a :~~: b) | Since: base-4.10.0.0 |
| Read (f p) => Read (M1 i c f p) | |
| Read (f (g p)) => Read ((f :.: g) p) | |
| (Read a, Read b, Read c, Read d, Read e) => Read (a, b, c, d, e) | Since: base-2.1 |
| (Read1 f, Read1 g, Read a) => Read (Compose f g a) | Since: base-4.9.0.0 |
| Read (p a b) => Read (WrappedBifunctor p a b) | |
Defined in Data.Bifunctor.Wrapped Methods readsPrec :: Int -> ReadS (WrappedBifunctor p a b) # readList :: ReadS [WrappedBifunctor p a b] # readPrec :: ReadPrec (WrappedBifunctor p a b) # readListPrec :: ReadPrec [WrappedBifunctor p a b] # | |
| Read (g b) => Read (Joker g a b) | |
| Read (p b a) => Read (Flip p a b) | |
| Read (f a) => Read (Clown f a b) | |
| (Read a, Read b, Read c, Read d, Read e, Read f) => Read (a, b, c, d, e, f) | Since: base-2.1 |
| (Read (p a b), Read (q a b)) => Read (Sum p q a b) | |
| (Read (f a b), Read (g a b)) => Read (Product f g a b) | |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g) => Read (a, b, c, d, e, f, g) | Since: base-2.1 |
| Read (f (p a b)) => Read (Tannen f p a b) | |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h) => Read (a, b, c, d, e, f, g, h) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i) => Read (a, b, c, d, e, f, g, h, i) | Since: base-2.1 |
| Read (p (f a) (g b)) => Read (Biff p f g a b) | |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j) => Read (a, b, c, d, e, f, g, h, i, j) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k) => Read (a, b, c, d, e, f, g, h, i, j, k) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l) => Read (a, b, c, d, e, f, g, h, i, j, k, l) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n, Read o) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | Since: base-2.1 |
Defined in GHC.Read | |
class (Num a, Ord a) => Real a where #
Minimal complete definition
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
Instances
| RealFrac CFloat | |
| RealFrac CDouble | |
| RealFrac Half | |
| () :=> (RealFrac Double) | |
| () :=> (RealFrac Float) | |
| Integral a => RealFrac (Ratio a) | Since: base-2.0.1 |
| HasResolution a => RealFrac (Fixed a) | Since: base-2.1 |
| RealFrac a => RealFrac (Identity a) | |
| (Integral a) :=> (RealFrac (Ratio a)) | |
| (RealFrac a) :=> (RealFrac (Identity a)) | |
| (RealFrac a) :=> (RealFrac (Const a b)) | |
| Class (Real a, Fractional a) (RealFrac a) | |
Defined in Data.Constraint | |
| Class (RealFrac a, Floating a) (RealFloat a) | |
| RealFrac a => RealFrac (Const a b) | |
| RealFrac a => RealFrac (Tagged s a) | |
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
class Functor f => Applicative (f :: * -> *) 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.
(*>) :: 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 Rose | |
| Applicative Gen | |
| 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 | |
| Applicative Last | |
| 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 Tree | |
| Applicative Seq | Since: containers-0.5.4 |
| Applicative DList | |
| Applicative Vector | |
| Applicative Array | |
| Applicative Id | |
| Applicative Box | |
| Applicative P | Since: base-4.5.0.0 |
| () :=> (Applicative ((->) a :: * -> *)) | |
Defined in Data.Constraint Methods ins :: () :- Applicative ((->) a) # | |
| () :=> (Applicative []) | |
Defined in Data.Constraint Methods ins :: () :- Applicative [] # | |
| () :=> (Applicative Maybe) | |
Defined in Data.Constraint Methods ins :: () :- Applicative Maybe # | |
| () :=> (Applicative IO) | |
Defined in Data.Constraint Methods ins :: () :- Applicative IO # | |
| () :=> (Applicative (Either a)) | |
Defined in Data.Constraint Methods ins :: () :- Applicative (Either a) # | |
| Applicative (Either e) | Since: base-3.0 |
| Applicative (U1 :: * -> *) | 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 (ST s) | Since: base-4.4.0.0 |
| Representable f => Applicative (Co f) | |
| 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 :: * -> *) | Since: base-4.7.0.0 |
| Alternative f => Applicative (Cofree f) | |
| Functor f => Applicative (Free f) | |
| Applicative f => Applicative (Yoneda f) | |
| Applicative (ReifiedGetter s) | |
Defined in Control.Lens.Reified Methods pure :: a -> ReifiedGetter s a # (<*>) :: ReifiedGetter s (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b # liftA2 :: (a -> b -> c) -> ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s c # (*>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b # (<*) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s a # | |
| Applicative (ReifiedFold s) | |
Defined in Control.Lens.Reified Methods pure :: a -> ReifiedFold s a # (<*>) :: ReifiedFold s (a -> b) -> ReifiedFold s a -> ReifiedFold s b # liftA2 :: (a -> b -> c) -> ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s c # (*>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b # (<*) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s a # | |
| Applicative f => Applicative (Indexing f) | |
Defined in Control.Lens.Internal.Indexed | |
| Applicative f => Applicative (Indexing64 f) | |
Defined in Control.Lens.Internal.Indexed Methods pure :: a -> Indexing64 f a # (<*>) :: Indexing64 f (a -> b) -> Indexing64 f a -> Indexing64 f b # liftA2 :: (a -> b -> c) -> Indexing64 f a -> Indexing64 f b -> Indexing64 f c # (*>) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f b # (<*) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f a # | |
| (Applicative (Rep p), Representable p) => Applicative (Prep p) | |
| KnownNat n => Applicative (Vec n) # | |
| Applicative (SetM s) | |
| Applicative (Signal domain) # | |
Defined in Clash.Signal.Internal Methods pure :: a -> Signal domain a # (<*>) :: Signal domain (a -> b) -> Signal domain a -> Signal domain b # liftA2 :: (a -> b -> c) -> Signal domain a -> Signal domain b -> Signal domain c # (*>) :: Signal domain a -> Signal domain b -> Signal domain b # (<*) :: Signal domain a -> Signal domain b -> Signal domain a # | |
| KnownNat d => Applicative (RTree d) # | |
| Class (Functor f) (Applicative f) | |
Defined in Data.Constraint Methods cls :: Applicative f :- Functor f # | |
| Class (Applicative f) (Monad f) | |
Defined in Data.Constraint Methods cls :: Monad f :- Applicative f # | |
| Class (Applicative f) (Alternative f) | |
Defined in Data.Constraint Methods cls :: Alternative f :- Applicative f # | |
| (Monad m) :=> (Applicative (WrappedMonad m)) | |
Defined in Data.Constraint Methods ins :: Monad m :- Applicative (WrappedMonad m) # | |
| (Monoid a) :=> (Applicative ((,) a)) | |
Defined in Data.Constraint | |
| (Monoid a) :=> (Applicative (Const a :: * -> *)) | |
Defined in Data.Constraint | |
| 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 :: * -> *) | Since: base-2.0.1 |
| Applicative f => Applicative (Alt f) | |
| Biapplicative p => Applicative (Join p) | |
| Biapplicative p => Applicative (Fix p) | |
| (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 f, Monad m) => Applicative (FreeT f m) | |
Defined in Control.Monad.Trans.Free | |
| (Alternative f, Applicative w) => Applicative (CofreeT f w) | |
Defined in Control.Comonad.Trans.Cofree | |
| (Applicative f, Applicative g) => Applicative (Day f g) | |
| (Functor m, Monad m) => Applicative (ErrorT e m) | |
Defined in Control.Monad.Trans.Error | |
| Applicative (Mafic a b) | |
Defined in Control.Lens.Internal.Magma | |
| Applicative (Flows i b) | This is an illegal |
Defined in Control.Lens.Internal.Level | |
| Applicative (Indexed i a) | |
Defined in Control.Lens.Internal.Indexed | |
| (Functor m, Monad m) => Applicative (StateT s m) | |
Defined in Control.Monad.Trans.State.Lazy | |
| Applicative (Tagged s) | |
| Monoid a => Applicative (Constant a :: * -> *) | |
Defined in Data.Functor.Constant | |
| Applicative (DSignal domain delay) # | |
Defined in Clash.Explicit.Signal.Delayed Methods pure :: a -> DSignal domain delay a # (<*>) :: DSignal domain delay (a -> b) -> DSignal domain delay a -> DSignal domain delay b # liftA2 :: (a -> b -> c) -> DSignal domain delay a -> DSignal domain delay b -> DSignal domain delay c # (*>) :: DSignal domain delay a -> DSignal domain delay b -> DSignal domain delay b # (<*) :: DSignal domain delay a -> DSignal domain delay b -> DSignal domain delay a # | |
| Monoid m => Applicative (Holes t m) | |
| Applicative ((->) a :: * -> *) | Since: base-2.1 |
| (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 (Molten i a b) | |
Defined in Control.Lens.Internal.Magma Methods pure :: a0 -> Molten i a b a0 # (<*>) :: Molten i a b (a0 -> b0) -> Molten i a b a0 -> Molten i a b b0 # liftA2 :: (a0 -> b0 -> c) -> Molten i a b a0 -> Molten i a b b0 -> Molten i a b c # (*>) :: Molten i a b a0 -> Molten i a b b0 -> Molten i a b b0 # (<*) :: Molten i a b a0 -> Molten i a b b0 -> Molten i a b a0 # | |
| Applicative (Bazaar p a b) | |
Defined in Control.Lens.Internal.Bazaar Methods pure :: a0 -> Bazaar p a b a0 # (<*>) :: Bazaar p a b (a0 -> b0) -> Bazaar p a b a0 -> Bazaar p a b b0 # liftA2 :: (a0 -> b0 -> c) -> Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b c # (*>) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b b0 # (<*) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b a0 # | |
| 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 # | |
| Applicative (TakingWhile p f a b) | |
Defined in Control.Lens.Internal.Magma Methods pure :: a0 -> TakingWhile p f a b a0 # (<*>) :: TakingWhile p f a b (a0 -> b0) -> TakingWhile p f a b a0 -> TakingWhile p f a b b0 # liftA2 :: (a0 -> b0 -> c) -> TakingWhile p f a b a0 -> TakingWhile p f a b b0 -> TakingWhile p f a b c # (*>) :: TakingWhile p f a b a0 -> TakingWhile p f a b b0 -> TakingWhile p f a b b0 # (<*) :: TakingWhile p f a b a0 -> TakingWhile p f a b b0 -> TakingWhile p f a b a0 # | |
| Applicative (BazaarT p g a b) | |
Defined in Control.Lens.Internal.Bazaar Methods pure :: a0 -> BazaarT p g a b a0 # (<*>) :: BazaarT p g a b (a0 -> b0) -> BazaarT p g a b a0 -> BazaarT p g a b b0 # liftA2 :: (a0 -> b0 -> c) -> BazaarT p g a b a0 -> BazaarT p g a b b0 -> BazaarT p g a b c # (*>) :: BazaarT p g a b a0 -> BazaarT p g a b b0 -> BazaarT p g a b b0 # (<*) :: BazaarT p g a b a0 -> BazaarT p g a b b0 -> BazaarT p g a b a0 # | |
| Reifies s (ReifiedApplicative f) => Applicative (ReflectedApplicative f s) | |
Defined in Data.Reflection Methods pure :: a -> ReflectedApplicative f s a # (<*>) :: ReflectedApplicative f s (a -> b) -> ReflectedApplicative f s a -> ReflectedApplicative f s b # liftA2 :: (a -> b -> c) -> ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s c # (*>) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s b # (<*) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s a # | |
class Foldable (t :: * -> *) 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
foldMap :: Monoid m => (a -> m) -> t a -> m #
Map each element of the structure to a monoid, and combine the results.
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.
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 | |
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 | |
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 | |
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 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 DList | |
Defined in Data.DList Methods fold :: Monoid m => DList m -> m # foldMap :: Monoid m => (a -> m) -> DList a -> m # foldr :: (a -> b -> b) -> b -> DList a -> b # foldr' :: (a -> b -> b) -> b -> DList a -> b # foldl :: (b -> a -> b) -> b -> DList a -> b # foldl' :: (b -> a -> b) -> b -> DList a -> b # foldr1 :: (a -> a -> a) -> DList a -> a # foldl1 :: (a -> a -> a) -> DList a -> a # elem :: Eq a => a -> DList a -> Bool # maximum :: Ord a => DList a -> a # minimum :: Ord a => DList a -> a # | |
| Foldable HashSet | |
Defined in Data.HashSet Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> m # foldr :: (a -> b -> b) -> b -> HashSet a -> b # foldr' :: (a -> b -> b) -> b -> HashSet a -> b # foldl :: (b -> a -> b) -> b -> HashSet a -> b # foldl' :: (b -> a -> b) -> b -> HashSet a -> b # foldr1 :: (a -> a -> a) -> HashSet a -> a # foldl1 :: (a -> a -> a) -> HashSet a -> a # elem :: Eq a => a -> HashSet a -> Bool # maximum :: Ord a => HashSet a -> a # minimum :: Ord a => HashSet a -> a # | |
| Foldable Vector | |
Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> m # foldr :: (a -> b -> b) -> b -> Vector a -> b # foldr' :: (a -> b -> b) -> b -> Vector a -> b # foldl :: (b -> a -> b) -> b -> Vector a -> b # foldl' :: (b -> a -> b) -> b -> Vector a -> b # foldr1 :: (a -> a -> a) -> Vector a -> a # foldl1 :: (a -> a -> a) -> Vector a -> a # elem :: Eq a => a -> Vector a -> Bool # maximum :: Ord a => Vector a -> a # minimum :: Ord a => Vector 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 (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 :: * -> *) | |
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 :: * -> *) | 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 :: * -> *) | 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 (Cofree f) | |
Defined in Control.Comonad.Cofree Methods fold :: Monoid m => Cofree f m -> m # foldMap :: Monoid m => (a -> m) -> Cofree f a -> m # foldr :: (a -> b -> b) -> b -> Cofree f a -> b # foldr' :: (a -> b -> b) -> b -> Cofree f a -> b # foldl :: (b -> a -> b) -> b -> Cofree f a -> b # foldl' :: (b -> a -> b) -> b -> Cofree f a -> b # foldr1 :: (a -> a -> a) -> Cofree f a -> a # foldl1 :: (a -> a -> a) -> Cofree f a -> a # elem :: Eq a => a -> Cofree f a -> Bool # maximum :: Ord a => Cofree f a -> a # minimum :: Ord a => Cofree f a -> a # | |
| Foldable f => Foldable (Free f) | |
Defined in Control.Monad.Free Methods fold :: Monoid m => Free f m -> m # foldMap :: Monoid m => (a -> m) -> Free f a -> m # foldr :: (a -> b -> b) -> b -> Free f a -> b # foldr' :: (a -> b -> b) -> b -> Free f a -> b # foldl :: (b -> a -> b) -> b -> Free f a -> b # foldl' :: (b -> a -> b) -> b -> Free f a -> b # foldr1 :: (a -> a -> a) -> Free f a -> a # foldl1 :: (a -> a -> a) -> Free f a -> a # elem :: Eq a => a -> Free f a -> Bool # maximum :: Ord a => Free f a -> a # minimum :: Ord a => Free f a -> a # | |
| Foldable f => Foldable (Yoneda f) | |
Defined in Data.Functor.Yoneda Methods fold :: Monoid m => Yoneda f m -> m # foldMap :: Monoid m => (a -> m) -> Yoneda f a -> m # foldr :: (a -> b -> b) -> b -> Yoneda f a -> b # foldr' :: (a -> b -> b) -> b -> Yoneda f a -> b # foldl :: (b -> a -> b) -> b -> Yoneda f a -> b # foldl' :: (b -> a -> b) -> b -> Yoneda f a -> b # foldr1 :: (a -> a -> a) -> Yoneda f a -> a # foldl1 :: (a -> a -> a) -> Yoneda f a -> a # elem :: Eq a => a -> Yoneda f a -> Bool # maximum :: Ord a => Yoneda f a -> a # minimum :: Ord a => Yoneda f a -> a # | |
| Foldable (HashMap k) | |
Defined in Data.HashMap.Base Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # | |
| Foldable (Level i) | |
Defined in Control.Lens.Internal.Level Methods fold :: Monoid m => Level i m -> m # foldMap :: Monoid m => (a -> m) -> Level i a -> m # foldr :: (a -> b -> b) -> b -> Level i a -> b # foldr' :: (a -> b -> b) -> b -> Level i a -> b # foldl :: (b -> a -> b) -> b -> Level i a -> b # foldl' :: (b -> a -> b) -> b -> Level i a -> b # foldr1 :: (a -> a -> a) -> Level i a -> a # foldl1 :: (a -> a -> a) -> Level i a -> a # elem :: Eq a => a -> Level i a -> Bool # maximum :: Ord a => Level i a -> a # minimum :: Ord a => Level i a -> a # | |
| (KnownNat n, 1 <= n) => Foldable (Vec n) # | |
Defined in Clash.Sized.Vector Methods fold :: Monoid m => Vec n m -> m # foldMap :: Monoid m => (a -> m) -> Vec n a -> m # foldr :: (a -> b -> b) -> b -> Vec n a -> b # foldr' :: (a -> b -> b) -> b -> Vec n a -> b # foldl :: (b -> a -> b) -> b -> Vec n a -> b # foldl' :: (b -> a -> b) -> b -> Vec n a -> b # foldr1 :: (a -> a -> a) -> Vec n a -> a # foldl1 :: (a -> a -> a) -> Vec n a -> a # elem :: Eq a => a -> Vec n a -> Bool # maximum :: Ord a => Vec n a -> a # minimum :: Ord a => Vec n a -> a # | |
| Foldable (Signal domain) # | NB: Not synthesisable NB: In "
|
Defined in Clash.Signal.Internal Methods fold :: Monoid m => Signal domain m -> m # foldMap :: Monoid m => (a -> m) -> Signal domain a -> m # foldr :: (a -> b -> b) -> b -> Signal domain a -> b # foldr' :: (a -> b -> b) -> b -> Signal domain a -> b # foldl :: (b -> a -> b) -> b -> Signal domain a -> b # foldl' :: (b -> a -> b) -> b -> Signal domain a -> b # foldr1 :: (a -> a -> a) -> Signal domain a -> a # foldl1 :: (a -> a -> a) -> Signal domain a -> a # toList :: Signal domain a -> [a] # null :: Signal domain a -> Bool # length :: Signal domain a -> Int # elem :: Eq a => a -> Signal domain a -> Bool # maximum :: Ord a => Signal domain a -> a # minimum :: Ord a => Signal domain a -> a # | |
| KnownNat d => Foldable (RTree d) # | |
Defined in Clash.Sized.RTree Methods fold :: Monoid m => RTree d m -> m # foldMap :: Monoid m => (a -> m) -> RTree d a -> m # foldr :: (a -> b -> b) -> b -> RTree d a -> b # foldr' :: (a -> b -> b) -> b -> RTree d a -> b # foldl :: (b -> a -> b) -> b -> RTree d a -> b # foldl' :: (b -> a -> b) -> b -> RTree d a -> b # foldr1 :: (a -> a -> a) -> RTree d a -> a # foldl1 :: (a -> a -> a) -> RTree d a -> a # elem :: Eq a => a -> RTree d a -> Bool # maximum :: Ord a => RTree d a -> a # minimum :: Ord a => RTree d a -> a # | |
| Foldable f => Foldable (Rec1 f) | |
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 :: * -> *) | |
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 :: * -> *) | |
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 :: * -> *) | |
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 :: * -> *) | |
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 :: * -> *) | |
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 ()) :: * -> *) | |
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 :: * -> *) | 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 # | |
| Bifoldable p => Foldable (Join p) | |
Defined in Data.Bifunctor.Join Methods fold :: Monoid m => Join p m -> m # foldMap :: Monoid m => (a -> m) -> Join p a -> m # foldr :: (a -> b -> b) -> b -> Join p a -> b # foldr' :: (a -> b -> b) -> b -> Join p a -> b # foldl :: (b -> a -> b) -> b -> Join p a -> b # foldl' :: (b -> a -> b) -> b -> Join p a -> b # foldr1 :: (a -> a -> a) -> Join p a -> a # foldl1 :: (a -> a -> a) -> Join p a -> a # elem :: Eq a => a -> Join p a -> Bool # maximum :: Ord a => Join p a -> a # minimum :: Ord a => Join p a -> a # | |
| Bifoldable p => Foldable (Fix p) | |
Defined in Data.Bifunctor.Fix Methods fold :: Monoid m => Fix p m -> m # foldMap :: Monoid m => (a -> m) -> Fix p a -> m # foldr :: (a -> b -> b) -> b -> Fix p a -> b # foldr' :: (a -> b -> b) -> b -> Fix p a -> b # foldl :: (b -> a -> b) -> b -> Fix p a -> b # foldl' :: (b -> a -> b) -> b -> Fix p a -> b # foldr1 :: (a -> a -> a) -> Fix p a -> a # foldl1 :: (a -> a -> a) -> Fix p a -> a # elem :: Eq a => a -> Fix p a -> Bool # maximum :: Ord a => Fix p a -> a # minimum :: Ord a => Fix p a -> a # | |
| Foldable f => Foldable (FreeF f a) | |
Defined in Control.Monad.Trans.Free Methods fold :: Monoid m => FreeF f a m -> m # foldMap :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 # toList :: FreeF f a a0 -> [a0] # null :: FreeF f a a0 -> Bool # length :: FreeF f a a0 -> Int # elem :: Eq a0 => a0 -> FreeF f a a0 -> Bool # maximum :: Ord a0 => FreeF f a a0 -> a0 # minimum :: Ord a0 => FreeF f a a0 -> a0 # | |
| (Foldable m, Foldable f) => Foldable (FreeT f m) | |
Defined in Control.Monad.Trans.Free Methods fold :: Monoid m0 => FreeT f m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0 # foldr :: (a -> b -> b) -> b -> FreeT f m a -> b # foldr' :: (a -> b -> b) -> b -> FreeT f m a -> b # foldl :: (b -> a -> b) -> b -> FreeT f m a -> b # foldl' :: (b -> a -> b) -> b -> FreeT f m a -> b # foldr1 :: (a -> a -> a) -> FreeT f m a -> a # foldl1 :: (a -> a -> a) -> FreeT f m a -> a # toList :: FreeT f m a -> [a] # length :: FreeT f m a -> Int # elem :: Eq a => a -> FreeT f m a -> Bool # maximum :: Ord a => FreeT f m a -> a # minimum :: Ord a => FreeT f m a -> a # | |
| Foldable f => Foldable (CofreeF f a) | |
Defined in Control.Comonad.Trans.Cofree Methods fold :: Monoid m => CofreeF f a m -> m # foldMap :: Monoid m => (a0 -> m) -> CofreeF f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0 # toList :: CofreeF f a a0 -> [a0] # null :: CofreeF f a a0 -> Bool # length :: CofreeF f a a0 -> Int # elem :: Eq a0 => a0 -> CofreeF f a a0 -> Bool # maximum :: Ord a0 => CofreeF f a a0 -> a0 # minimum :: Ord a0 => CofreeF f a a0 -> a0 # | |
| (Foldable f, Foldable w) => Foldable (CofreeT f w) | |
Defined in Control.Comonad.Trans.Cofree Methods fold :: Monoid m => CofreeT f w m -> m # foldMap :: Monoid m => (a -> m) -> CofreeT f w a -> m # foldr :: (a -> b -> b) -> b -> CofreeT f w a -> b # foldr' :: (a -> b -> b) -> b -> CofreeT f w a -> b # foldl :: (b -> a -> b) -> b -> CofreeT f w a -> b # foldl' :: (b -> a -> b) -> b -> CofreeT f w a -> b # foldr1 :: (a -> a -> a) -> CofreeT f w a -> a # foldl1 :: (a -> a -> a) -> CofreeT f w a -> a # toList :: CofreeT f w a -> [a] # null :: CofreeT f w a -> Bool # length :: CofreeT f w a -> Int # elem :: Eq a => a -> CofreeT f w a -> Bool # maximum :: Ord a => CofreeT f w a -> a # minimum :: Ord a => CofreeT f w 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 (Tagged s) | |
Defined in Data.Tagged Methods fold :: Monoid m => Tagged s m -> m # foldMap :: Monoid m => (a -> m) -> Tagged s a -> m # foldr :: (a -> b -> b) -> b -> Tagged s a -> b # foldr' :: (a -> b -> b) -> b -> Tagged s a -> b # foldl :: (b -> a -> b) -> b -> Tagged s a -> b # foldl' :: (b -> a -> b) -> b -> Tagged s a -> b # foldr1 :: (a -> a -> a) -> Tagged s a -> a # foldl1 :: (a -> a -> a) -> Tagged s a -> a # elem :: Eq a => a -> Tagged s a -> Bool # maximum :: Ord a => Tagged s a -> a # minimum :: Ord a => Tagged s a -> a # | |
| Foldable (Constant a :: * -> *) | |
Defined in Data.Functor.Constant Methods fold :: Monoid m => Constant a m -> m # foldMap :: Monoid m => (a0 -> m) -> Constant a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Constant a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Constant a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Constant a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Constant a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 # toList :: Constant a a0 -> [a0] # null :: Constant a a0 -> Bool # length :: Constant a a0 -> Int # elem :: Eq a0 => a0 -> Constant a a0 -> Bool # maximum :: Ord a0 => Constant a a0 -> a0 # minimum :: Ord a0 => Constant a a0 -> a0 # | |
| Foldable (DSignal domain delay) # | |
Defined in Clash.Explicit.Signal.Delayed Methods fold :: Monoid m => DSignal domain delay m -> m # foldMap :: Monoid m => (a -> m) -> DSignal domain delay a -> m # foldr :: (a -> b -> b) -> b -> DSignal domain delay a -> b # foldr' :: (a -> b -> b) -> b -> DSignal domain delay a -> b # foldl :: (b -> a -> b) -> b -> DSignal domain delay a -> b # foldl' :: (b -> a -> b) -> b -> DSignal domain delay a -> b # foldr1 :: (a -> a -> a) -> DSignal domain delay a -> a # foldl1 :: (a -> a -> a) -> DSignal domain delay a -> a # toList :: DSignal domain delay a -> [a] # null :: DSignal domain delay a -> Bool # length :: DSignal domain delay a -> Int # elem :: Eq a => a -> DSignal domain delay a -> Bool # maximum :: Ord a => DSignal domain delay a -> a # minimum :: Ord a => DSignal domain delay a -> a # | |
| Foldable (K1 i c :: * -> *) | |
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) | |
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) | |
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 (Magma i t b) | |
Defined in Control.Lens.Internal.Magma Methods fold :: Monoid m => Magma i t b m -> m # foldMap :: Monoid m => (a -> m) -> Magma i t b a -> m # foldr :: (a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # foldr' :: (a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # foldl :: (b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 # foldl' :: (b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 # foldr1 :: (a -> a -> a) -> Magma i t b a -> a # foldl1 :: (a -> a -> a) -> Magma i t b a -> a # toList :: Magma i t b a -> [a] # null :: Magma i t b a -> Bool # length :: Magma i t b a -> Int # elem :: Eq a => a -> Magma i t b a -> Bool # maximum :: Ord a => Magma i t b a -> a # minimum :: Ord a => Magma i t b a -> a # | |
| Foldable f => Foldable (M1 i c f) | |
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) | |
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 # | |
| Bifoldable p => Foldable (WrappedBifunctor p a) | |
Defined in Data.Bifunctor.Wrapped Methods fold :: Monoid m => WrappedBifunctor p a m -> m # foldMap :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 # toList :: WrappedBifunctor p a a0 -> [a0] # null :: WrappedBifunctor p a a0 -> Bool # length :: WrappedBifunctor p a a0 -> Int # elem :: Eq a0 => a0 -> WrappedBifunctor p a a0 -> Bool # maximum :: Ord a0 => WrappedBifunctor p a a0 -> a0 # minimum :: Ord a0 => WrappedBifunctor p a a0 -> a0 # sum :: Num a0 => WrappedBifunctor p a a0 -> a0 # product :: Num a0 => WrappedBifunctor p a a0 -> a0 # | |
| Foldable g => Foldable (Joker g a) | |
Defined in Data.Bifunctor.Joker Methods fold :: Monoid m => Joker g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Joker g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # toList :: Joker g a a0 -> [a0] # null :: Joker g a a0 -> Bool # length :: Joker g a a0 -> Int # elem :: Eq a0 => a0 -> Joker g a a0 -> Bool # maximum :: Ord a0 => Joker g a a0 -> a0 # minimum :: Ord a0 => Joker g a a0 -> a0 # | |
| Bifoldable p => Foldable (Flip p a) | |
Defined in Data.Bifunctor.Flip Methods fold :: Monoid m => Flip p a m -> m # foldMap :: Monoid m => (a0 -> m) -> Flip p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Flip p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Flip p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Flip p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Flip p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 # toList :: Flip p a a0 -> [a0] # length :: Flip p a a0 -> Int # elem :: Eq a0 => a0 -> Flip p a a0 -> Bool # maximum :: Ord a0 => Flip p a a0 -> a0 # minimum :: Ord a0 => Flip p a a0 -> a0 # | |
| Foldable (Clown f a :: * -> *) | |
Defined in Data.Bifunctor.Clown Methods fold :: Monoid m => Clown f a m -> m # foldMap :: Monoid m => (a0 -> m) -> Clown f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Clown f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Clown f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Clown f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Clown f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 # toList :: Clown f a a0 -> [a0] # null :: Clown f a a0 -> Bool # length :: Clown f a a0 -> Int # elem :: Eq a0 => a0 -> Clown f a a0 -> Bool # maximum :: Ord a0 => Clown f a a0 -> a0 # minimum :: Ord a0 => Clown f a a0 -> a0 # | |
| (Foldable f, Bifoldable p) => Foldable (Tannen f p a) | |
Defined in Data.Bifunctor.Tannen Methods fold :: Monoid m => Tannen f p a m -> m # foldMap :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 # toList :: Tannen f p a a0 -> [a0] # null :: Tannen f p a a0 -> Bool # length :: Tannen f p a a0 -> Int # elem :: Eq a0 => a0 -> Tannen f p a a0 -> Bool # maximum :: Ord a0 => Tannen f p a a0 -> a0 # minimum :: Ord a0 => Tannen f p a a0 -> a0 # | |
| (Bifoldable p, Foldable g) => Foldable (Biff p f g a) | |
Defined in Data.Bifunctor.Biff Methods fold :: Monoid m => Biff p f g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 # toList :: Biff p f g a a0 -> [a0] # null :: Biff p f g a a0 -> Bool # length :: Biff p f g a a0 -> Int # elem :: Eq a0 => a0 -> Biff p f g a a0 -> Bool # maximum :: Ord a0 => Biff p f g a a0 -> a0 # minimum :: Ord a0 => Biff p f g a a0 -> a0 # | |
class (Functor t, Foldable t) => Traversable (t :: * -> *) 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
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
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
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
Instances
| Bounded Bool | Since: base-2.1 |
| Enum Bool | Since: base-2.1 |
| Eq Bool | |
| 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 # | |
| Ord Bool | |
| Read Bool | Since: base-2.1 |
| Show Bool | |
| Ix Bool | Since: base-2.1 |
| Generic Bool | |
| Lift Bool | |
| Testable Bool | |
Defined in Test.QuickCheck.Property | |
| Arbitrary Bool | |
| CoArbitrary Bool | |
Defined in Test.QuickCheck.Arbitrary Methods coarbitrary :: Bool -> Gen b -> Gen b # | |
| SingKind Bool | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Storable Bool | Since: base-2.1 |
Defined in Foreign.Storable | |
| Bits Bool | Interpret Since: base-4.7.0.0 |
Defined in Data.Bits Methods (.&.) :: Bool -> Bool -> Bool # (.|.) :: Bool -> Bool -> Bool # complement :: Bool -> Bool # shift :: Bool -> Int -> Bool # rotate :: Bool -> Int -> Bool # setBit :: Bool -> Int -> Bool # clearBit :: Bool -> Int -> Bool # complementBit :: Bool -> Int -> Bool # testBit :: Bool -> Int -> Bool # bitSizeMaybe :: Bool -> Maybe Int # shiftL :: Bool -> Int -> Bool # unsafeShiftL :: Bool -> Int -> Bool # shiftR :: Bool -> Int -> Bool # unsafeShiftR :: Bool -> Int -> Bool # rotateL :: Bool -> Int -> Bool # | |
| FiniteBits Bool | Since: base-4.7.0.0 |
Defined in Data.Bits Methods finiteBitSize :: Bool -> Int # countLeadingZeros :: Bool -> Int # countTrailingZeros :: Bool -> Int # | |
| NFData Bool | |
Defined in Control.DeepSeq | |
| Unbox Bool | |
Defined in Data.Vector.Unboxed.Base | |
| PEnum Bool | |
Defined in Data.Singletons.Prelude.Enum | |
| SEnum Bool | |
Defined in Data.Singletons.Prelude.Enum Methods sSucc :: Sing t -> Sing (Apply SuccSym0 t) # sPred :: Sing t -> Sing (Apply PredSym0 t) # sToEnum :: Sing t -> Sing (Apply ToEnumSym0 t) # sFromEnum :: Sing t -> Sing (Apply FromEnumSym0 t) # sEnumFromTo :: Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) # sEnumFromThenTo :: Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) # | |
| PBounded Bool | |
Defined in Data.Singletons.Prelude.Enum | |
| SBounded Bool | |
Defined in Data.Singletons.Prelude.Enum | |
| PShow Bool | |
| SShow Bool | |
| ShowSing Bool | |
Defined in Data.Singletons.ShowSing Methods showsSingPrec :: Int -> Sing a -> ShowS # | |
| POrd Bool | |
| SOrd Bool | |
Defined in Data.Singletons.Prelude.Ord Methods sCompare :: Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) # (%<) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) # (%<=) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) # (%>) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) # (%>=) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) # sMax :: Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) # sMin :: Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) # | |
| SEq Bool | |
| PEq Bool | |
| ShowX Bool # | |
| BitPack Bool # | |
| Bundle Bool # | |
| SingI False | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| SingI True | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Vector Vector Bool | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Bool -> m (Vector Bool) # basicUnsafeThaw :: PrimMonad m => Vector Bool -> m (Mutable Vector (PrimState m) Bool) # basicLength :: Vector Bool -> Int # basicUnsafeSlice :: Int -> Int -> Vector Bool -> Vector Bool # basicUnsafeIndexM :: Monad m => Vector Bool -> Int -> m Bool # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Bool -> Vector Bool -> m () # | |
| MVector MVector Bool | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Bool -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Bool -> MVector s Bool # basicOverlaps :: MVector s Bool -> MVector s Bool -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Bool) # basicInitialize :: PrimMonad m => MVector (PrimState m) Bool -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Bool -> m (MVector (PrimState m) Bool) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Bool -> Int -> m Bool # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Bool -> Int -> Bool -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Bool -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Bool -> Bool -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Bool -> MVector (PrimState m) Bool -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Bool -> MVector (PrimState m) Bool -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Bool -> Int -> m (MVector (PrimState m) Bool) # | |
| LockStep Bool c # | |
| () :=> (Bounded Bool) | |
| () :=> (Enum Bool) | |
| () :=> (Eq Bool) | |
| () :=> (Ord Bool) | |
| () :=> (Read Bool) | |
| () :=> (Show Bool) | |
| () :=> (Bits Bool) | |
| SuppressUnusedWarnings ShowParenSym2 | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (||@#@$$) | |
Defined in Data.Singletons.Prelude.Bool Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (&&@#@$$) | |
Defined in Data.Singletons.Prelude.Bool Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings Compare_6989586621679570080Sym1 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ShowParenSym1 | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ShowsPrec_6989586621679909840Sym2 | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ShowsPrec_6989586621679909840Sym1 | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings NotSym0 | |
Defined in Data.Singletons.Prelude.Bool Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (||@#@$) | |
Defined in Data.Singletons.Prelude.Bool Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (&&@#@$) | |
Defined in Data.Singletons.Prelude.Bool Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings Compare_6989586621679570080Sym0 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ShowParenSym0 | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings FromEnum_6989586621680043927Sym0 | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings OrSym0 | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings AndSym0 | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ToEnum_6989586621680043917Sym0 | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ShowsPrec_6989586621679909840Sym0 | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (UnionBySym2 :: (TyFun a6989586621679701588 (TyFun a6989586621679701588 Bool -> Type) -> Type) -> [a6989586621679701588] -> TyFun [a6989586621679701588] [a6989586621679701588] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (UnionBySym1 :: (TyFun a6989586621679701588 (TyFun a6989586621679701588 Bool -> Type) -> Type) -> TyFun [a6989586621679701588] (TyFun [a6989586621679701588] [a6989586621679701588] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TakeWhileSym1 :: (TyFun a6989586621679701615 Bool -> Type) -> TyFun [a6989586621679701615] [a6989586621679701615] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (SpanSym1 :: (TyFun a6989586621679701612 Bool -> Type) -> TyFun [a6989586621679701612] ([a6989586621679701612], [a6989586621679701612]) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (SelectSym2 :: (TyFun a6989586621679701598 Bool -> Type) -> a6989586621679701598 -> TyFun ([a6989586621679701598], [a6989586621679701598]) ([a6989586621679701598], [a6989586621679701598]) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (SelectSym1 :: (TyFun a6989586621679701598 Bool -> Type) -> TyFun a6989586621679701598 (TyFun ([a6989586621679701598], [a6989586621679701598]) ([a6989586621679701598], [a6989586621679701598]) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (PartitionSym1 :: (TyFun a6989586621679701599 Bool -> Type) -> TyFun [a6989586621679701599] ([a6989586621679701599], [a6989586621679701599]) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (NubBySym1 :: (TyFun a6989586621679701590 (TyFun a6989586621679701590 Bool -> Type) -> Type) -> TyFun [a6989586621679701590] [a6989586621679701590] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711330ZsSym2 :: (TyFun k Bool -> Type) -> k -> TyFun [k] [k] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711330ZsSym1 :: (TyFun k Bool -> Type) -> TyFun k (TyFun [k] [k] -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711330YsSym2 :: (TyFun k Bool -> Type) -> k -> TyFun [k] [k] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711330YsSym1 :: (TyFun k Bool -> Type) -> TyFun k (TyFun [k] [k] -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711330X_6989586621679711331Sym2 :: (TyFun k Bool -> Type) -> k -> TyFun [k] ([k], [k]) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711330X_6989586621679711331Sym1 :: (TyFun k Bool -> Type) -> TyFun k (TyFun [k] ([k], [k]) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711237ZsSym2 :: (TyFun k Bool -> Type) -> k -> TyFun [k] [k] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711237ZsSym1 :: (TyFun k Bool -> Type) -> TyFun k (TyFun [k] [k] -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711237YsSym2 :: (TyFun k Bool -> Type) -> k -> TyFun [k] [k] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711237YsSym1 :: (TyFun k Bool -> Type) -> TyFun k (TyFun [k] [k] -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711237X_6989586621679711238Sym2 :: (TyFun k Bool -> Type) -> k -> TyFun [k] ([k], [k]) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711237X_6989586621679711238Sym1 :: (TyFun k Bool -> Type) -> TyFun k (TyFun [k] ([k], [k]) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IntersectBySym2 :: (TyFun a6989586621679701616 (TyFun a6989586621679701616 Bool -> Type) -> Type) -> [a6989586621679701616] -> TyFun [a6989586621679701616] [a6989586621679701616] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IntersectBySym1 :: (TyFun a6989586621679701616 (TyFun a6989586621679701616 Bool -> Type) -> Type) -> TyFun [a6989586621679701616] (TyFun [a6989586621679701616] [a6989586621679701616] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (GroupBySym1 :: (TyFun a6989586621679701602 (TyFun a6989586621679701602 Bool -> Type) -> Type) -> TyFun [a6989586621679701602] [[a6989586621679701602]] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FindSym1 :: (TyFun a6989586621679701622 Bool -> Type) -> TyFun [a6989586621679701622] (Maybe a6989586621679701622) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FindIndicesSym1 :: (TyFun a6989586621679701618 Bool -> Type) -> TyFun [a6989586621679701618] [Nat] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FindIndexSym1 :: (TyFun a6989586621679701619 Bool -> Type) -> TyFun [a6989586621679701619] (Maybe Nat) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FilterSym1 :: (TyFun a6989586621679701623 Bool -> Type) -> TyFun [a6989586621679701623] [a6989586621679701623] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Elem_bySym2 :: (TyFun a6989586621679701589 (TyFun a6989586621679701589 Bool -> Type) -> Type) -> a6989586621679701589 -> TyFun [a6989586621679701589] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Elem_bySym1 :: (TyFun a6989586621679701589 (TyFun a6989586621679701589 Bool -> Type) -> Type) -> TyFun a6989586621679701589 (TyFun [a6989586621679701589] Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DropWhileSym1 :: (TyFun a6989586621679701614 Bool -> Type) -> TyFun [a6989586621679701614] [a6989586621679701614] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DropWhileEndSym1 :: (TyFun a6989586621679701613 Bool -> Type) -> TyFun [a6989586621679701613] [a6989586621679701613] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DeleteFirstsBySym2 :: (TyFun a6989586621679701628 (TyFun a6989586621679701628 Bool -> Type) -> Type) -> [a6989586621679701628] -> TyFun [a6989586621679701628] [a6989586621679701628] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DeleteFirstsBySym1 :: (TyFun a6989586621679701628 (TyFun a6989586621679701628 Bool -> Type) -> Type) -> TyFun [a6989586621679701628] (TyFun [a6989586621679701628] [a6989586621679701628] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DeleteBySym2 :: (TyFun a6989586621679701629 (TyFun a6989586621679701629 Bool -> Type) -> Type) -> a6989586621679701629 -> TyFun [a6989586621679701629] [a6989586621679701629] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DeleteBySym1 :: (TyFun a6989586621679701629 (TyFun a6989586621679701629 Bool -> Type) -> Type) -> TyFun a6989586621679701629 (TyFun [a6989586621679701629] [a6989586621679701629] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (BreakSym1 :: (TyFun a6989586621679701611 Bool -> Type) -> TyFun [a6989586621679701611] ([a6989586621679701611], [a6989586621679701611]) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (AnySym1 :: (TyFun a6989586621679701692 Bool -> Type) -> TyFun [a6989586621679701692] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (AllSym1 :: (TyFun a6989586621679701693 Bool -> Type) -> TyFun [a6989586621679701693] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsSuffixOfSym1 :: [a6989586621679701674] -> TyFun [a6989586621679701674] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsPrefixOfSym1 :: [a6989586621679701675] -> TyFun [a6989586621679701675] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsInfixOfSym1 :: [a6989586621679701673] -> TyFun [a6989586621679701673] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TFHelper_6989586621679562616Sym1 :: a6989586621679561287 -> TyFun a6989586621679561287 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TFHelper_6989586621679562583Sym1 :: a6989586621679561287 -> TyFun a6989586621679561287 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TFHelper_6989586621679562550Sym1 :: a6989586621679561287 -> TyFun a6989586621679561287 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TFHelper_6989586621679562517Sym1 :: a6989586621679561287 -> TyFun a6989586621679561287 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562669Scrutinee_6989586621679561319Sym1 :: k1 -> TyFun k1 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562636Scrutinee_6989586621679561317Sym1 :: k1 -> TyFun k1 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562470Scrutinee_6989586621679561307Sym1 :: k1 -> TyFun k1 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562460Scrutinee_6989586621679561305Sym1 :: k1 -> TyFun k1 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((>@#@$$) :: a6989586621679561287 -> TyFun a6989586621679561287 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((>=@#@$$) :: a6989586621679561287 -> TyFun a6989586621679561287 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((<@#@$$) :: a6989586621679561287 -> TyFun a6989586621679561287 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((<=@#@$$) :: a6989586621679561287 -> TyFun a6989586621679561287 Bool -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (NotElemSym1 :: a6989586621679701671 -> TyFun [a6989586621679701671] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ElemSym1 :: a6989586621679701672 -> TyFun [a6989586621679701672] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((==@#@$$) :: a6989586621679550344 -> TyFun a6989586621679550344 Bool -> *) | |
Defined in Data.Singletons.Prelude.Eq Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((/=@#@$$) :: a6989586621679550344 -> TyFun a6989586621679550344 Bool -> *) | |
Defined in Data.Singletons.Prelude.Eq Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Bool_Sym2 :: a6989586621679547956 -> a6989586621679547956 -> TyFun Bool a6989586621679547956 -> *) | |
Defined in Data.Singletons.Prelude.Bool Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Bool_Sym1 :: a6989586621679547956 -> TyFun a6989586621679547956 (TyFun Bool a6989586621679547956 -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Bool Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (UnionBySym0 :: TyFun (TyFun a6989586621679701588 (TyFun a6989586621679701588 Bool -> Type) -> Type) (TyFun [a6989586621679701588] (TyFun [a6989586621679701588] [a6989586621679701588] -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TakeWhileSym0 :: TyFun (TyFun a6989586621679701615 Bool -> Type) (TyFun [a6989586621679701615] [a6989586621679701615] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (SpanSym0 :: TyFun (TyFun a6989586621679701612 Bool -> Type) (TyFun [a6989586621679701612] ([a6989586621679701612], [a6989586621679701612]) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (SelectSym0 :: TyFun (TyFun a6989586621679701598 Bool -> Type) (TyFun a6989586621679701598 (TyFun ([a6989586621679701598], [a6989586621679701598]) ([a6989586621679701598], [a6989586621679701598]) -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (PartitionSym0 :: TyFun (TyFun a6989586621679701599 Bool -> Type) (TyFun [a6989586621679701599] ([a6989586621679701599], [a6989586621679701599]) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (NubBySym0 :: TyFun (TyFun a6989586621679701590 (TyFun a6989586621679701590 Bool -> Type) -> Type) (TyFun [a6989586621679701590] [a6989586621679701590] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711330ZsSym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711330YsSym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711330X_6989586621679711331Sym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] ([k], [k]) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711237ZsSym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711237YsSym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711237X_6989586621679711238Sym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] ([k], [k]) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IntersectBySym0 :: TyFun (TyFun a6989586621679701616 (TyFun a6989586621679701616 Bool -> Type) -> Type) (TyFun [a6989586621679701616] (TyFun [a6989586621679701616] [a6989586621679701616] -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (GroupBySym0 :: TyFun (TyFun a6989586621679701602 (TyFun a6989586621679701602 Bool -> Type) -> Type) (TyFun [a6989586621679701602] [[a6989586621679701602]] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FindSym0 :: TyFun (TyFun a6989586621679701622 Bool -> Type) (TyFun [a6989586621679701622] (Maybe a6989586621679701622) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FindIndicesSym0 :: TyFun (TyFun a6989586621679701618 Bool -> Type) (TyFun [a6989586621679701618] [Nat] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FindIndexSym0 :: TyFun (TyFun a6989586621679701619 Bool -> Type) (TyFun [a6989586621679701619] (Maybe Nat) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FilterSym0 :: TyFun (TyFun a6989586621679701623 Bool -> Type) (TyFun [a6989586621679701623] [a6989586621679701623] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Elem_bySym0 :: TyFun (TyFun a6989586621679701589 (TyFun a6989586621679701589 Bool -> Type) -> Type) (TyFun a6989586621679701589 (TyFun [a6989586621679701589] Bool -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DropWhileSym0 :: TyFun (TyFun a6989586621679701614 Bool -> Type) (TyFun [a6989586621679701614] [a6989586621679701614] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DropWhileEndSym0 :: TyFun (TyFun a6989586621679701613 Bool -> Type) (TyFun [a6989586621679701613] [a6989586621679701613] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DeleteFirstsBySym0 :: TyFun (TyFun a6989586621679701628 (TyFun a6989586621679701628 Bool -> Type) -> Type) (TyFun [a6989586621679701628] (TyFun [a6989586621679701628] [a6989586621679701628] -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (DeleteBySym0 :: TyFun (TyFun a6989586621679701629 (TyFun a6989586621679701629 Bool -> Type) -> Type) (TyFun a6989586621679701629 (TyFun [a6989586621679701629] [a6989586621679701629] -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (BreakSym0 :: TyFun (TyFun a6989586621679701611 Bool -> Type) (TyFun [a6989586621679701611] ([a6989586621679701611], [a6989586621679701611]) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (AnySym0 :: TyFun (TyFun a6989586621679701692 Bool -> Type) (TyFun [a6989586621679701692] Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (AllSym0 :: TyFun (TyFun a6989586621679701693 Bool -> Type) (TyFun [a6989586621679701693] Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (NullSym0 :: TyFun [a6989586621679701709] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsSuffixOfSym0 :: TyFun [a6989586621679701674] (TyFun [a6989586621679701674] Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsPrefixOfSym0 :: TyFun [a6989586621679701675] (TyFun [a6989586621679701675] Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsInfixOfSym0 :: TyFun [a6989586621679701673] (TyFun [a6989586621679701673] Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsNothingSym0 :: TyFun (Maybe a6989586621679667735) Bool -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsJustSym0 :: TyFun (Maybe a6989586621679667736) Bool -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TFHelper_6989586621679562616Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TFHelper_6989586621679562583Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TFHelper_6989586621679562550Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (TFHelper_6989586621679562517Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562669Scrutinee_6989586621679561319Sym0 :: TyFun k1 (TyFun k1 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562636Scrutinee_6989586621679561317Sym0 :: TyFun k1 (TyFun k1 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562470Scrutinee_6989586621679561307Sym0 :: TyFun k1 (TyFun k1 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562460Scrutinee_6989586621679561305Sym0 :: TyFun k1 (TyFun k1 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((>@#@$) :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((>=@#@$) :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((<@#@$) :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((<=@#@$) :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (NotElemSym0 :: TyFun a6989586621679701671 (TyFun [a6989586621679701671] Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ElemSym0 :: TyFun a6989586621679701672 (TyFun [a6989586621679701672] Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((==@#@$) :: TyFun a6989586621679550344 (TyFun a6989586621679550344 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Eq Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ((/=@#@$) :: TyFun a6989586621679550344 (TyFun a6989586621679550344 Bool -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Eq Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Bool_Sym0 :: TyFun a6989586621679547956 (TyFun a6989586621679547956 (TyFun Bool a6989586621679547956 -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Bool Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710885NubBy'Sym3 :: (TyFun k1 (TyFun k1 Bool -> Type) -> Type) -> k -> [k1] -> TyFun [k1] [k1] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710885NubBy'Sym2 :: (TyFun k1 (TyFun k1 Bool -> Type) -> Type) -> k -> TyFun [k1] ([k1] ~> [k1]) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710885NubBy'Sym1 :: (TyFun k1 (TyFun k1 Bool -> Type) -> Type) -> TyFun k (TyFun [k1] ([k1] ~> [k1]) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710977Scrutinee_6989586621679702290Sym1 :: k1 -> TyFun k Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710885NubBy'Sym0 :: TyFun (TyFun k1 (TyFun k1 Bool -> Type) -> Type) (TyFun k (TyFun [k1] ([k1] ~> [k1]) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a6989586621680084718 b6989586621680084719) Bool -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a6989586621680084720 b6989586621680084721) Bool -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710977Scrutinee_6989586621679702290Sym0 :: TyFun k1 (TyFun k Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711394ZsSym0 :: TyFun (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) (TyFun k1 (TyFun [a6989586621679701612] [a6989586621679701612] -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711394YsSym0 :: TyFun (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) (TyFun k1 (TyFun [a6989586621679701612] [a6989586621679701612] -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711394X_6989586621679711395Sym0 :: TyFun (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) (TyFun k1 (TyFun [a6989586621679701612] ([a6989586621679701612], [a6989586621679701612]) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679713773Sym0 :: TyFun (a6989586621679701709 ~> Bool) (TyFun k (TyFun a6989586621679701709 (TyFun [a6989586621679701709] [a6989586621679701709] -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711394ZsSym2 :: (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) -> k1 -> TyFun [a6989586621679701612] [a6989586621679701612] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711394ZsSym1 :: (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) -> TyFun k1 (TyFun [a6989586621679701612] [a6989586621679701612] -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711394YsSym2 :: (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) -> k1 -> TyFun [a6989586621679701612] [a6989586621679701612] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711394YsSym1 :: (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) -> TyFun k1 (TyFun [a6989586621679701612] [a6989586621679701612] -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711394X_6989586621679711395Sym2 :: (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) -> k1 -> TyFun [a6989586621679701612] ([a6989586621679701612], [a6989586621679701612]) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711394X_6989586621679711395Sym1 :: (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) -> TyFun k1 (TyFun [a6989586621679701612] ([a6989586621679701612], [a6989586621679701612]) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679713773Sym3 :: (a6989586621679701709 ~> Bool) -> k -> a6989586621679701709 -> TyFun [a6989586621679701709] [a6989586621679701709] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679713773Sym2 :: (a6989586621679701709 ~> Bool) -> k -> TyFun a6989586621679701709 (TyFun [a6989586621679701709] [a6989586621679701709] -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679713773Sym1 :: (a6989586621679701709 ~> Bool) -> TyFun k (TyFun a6989586621679701709 (TyFun [a6989586621679701709] [a6989586621679701709] -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710909Scrutinee_6989586621679702296Sym4 :: (TyFun k3 (TyFun k3 Bool -> Type) -> Type) -> k1 -> k3 -> k2 -> TyFun [k3] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710909Scrutinee_6989586621679702296Sym3 :: (TyFun k3 (TyFun k3 Bool -> Type) -> Type) -> k1 -> k3 -> TyFun k2 (TyFun [k3] Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710909Scrutinee_6989586621679702296Sym2 :: (TyFun k3 (TyFun k3 Bool -> Type) -> Type) -> k1 -> TyFun k3 (TyFun k2 (TyFun [k3] Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710909Scrutinee_6989586621679702296Sym1 :: (TyFun k3 (TyFun k3 Bool -> Type) -> Type) -> TyFun k1 (TyFun k3 (TyFun k2 (TyFun [k3] Bool -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679712240Scrutinee_6989586621679702294Sym3 :: k1 -> k3 -> k2 -> TyFun [k3] Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679712240Scrutinee_6989586621679702294Sym2 :: k1 -> k3 -> TyFun k2 (TyFun [k3] Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679712240Scrutinee_6989586621679702294Sym1 :: k1 -> TyFun k3 (TyFun k2 (TyFun [k3] Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711169Scrutinee_6989586621679702274Sym2 :: k1 -> k2 -> TyFun k3 Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711169Scrutinee_6989586621679702274Sym1 :: k1 -> TyFun k2 (TyFun k3 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711141Scrutinee_6989586621679702276Sym2 :: k1 -> k2 -> TyFun k3 Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711141Scrutinee_6989586621679702276Sym1 :: k1 -> TyFun k2 (TyFun k3 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711107Scrutinee_6989586621679702286Sym3 :: k1 -> k1 -> k2 -> TyFun k3 Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711107Scrutinee_6989586621679702286Sym2 :: k1 -> k1 -> TyFun k2 (TyFun k3 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711107Scrutinee_6989586621679702286Sym1 :: k1 -> TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710950Scrutinee_6989586621679702292Sym2 :: k1 -> k2 -> TyFun k3 Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710950Scrutinee_6989586621679702292Sym1 :: k1 -> TyFun k2 (TyFun k3 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710909Scrutinee_6989586621679702296Sym0 :: TyFun (TyFun k3 (TyFun k3 Bool -> Type) -> Type) (TyFun k1 (TyFun k3 (TyFun k2 (TyFun [k3] Bool -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679712240Scrutinee_6989586621679702294Sym0 :: TyFun k1 (TyFun k3 (TyFun k2 (TyFun [k3] Bool -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711169Scrutinee_6989586621679702274Sym0 :: TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711141Scrutinee_6989586621679702276Sym0 :: TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679711107Scrutinee_6989586621679702286Sym0 :: TyFun k1 (TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679710950Scrutinee_6989586621679702292Sym0 :: TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713777Scrutinee_6989586621679702268Sym0 :: TyFun (k1 ~> Bool) (TyFun k1 (TyFun [a6989586621679701709] (TyFun k Bool -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713777Scrutinee_6989586621679702268Sym3 :: (k1 ~> Bool) -> k1 -> [a6989586621679701709] -> TyFun k Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713777Scrutinee_6989586621679702268Sym2 :: (k1 ~> Bool) -> k1 -> TyFun [a6989586621679701709] (TyFun k Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713777Scrutinee_6989586621679702268Sym1 :: (k1 ~> Bool) -> TyFun k1 (TyFun [a6989586621679701709] (TyFun k Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025281Scrutinee_6989586621680024763Sym4 :: k1 -> k2 -> k2 -> k3 -> TyFun k4 Bool -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025281Scrutinee_6989586621680024763Sym3 :: k1 -> k2 -> k2 -> TyFun k3 (TyFun k4 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025281Scrutinee_6989586621680024763Sym2 :: k1 -> k2 -> TyFun k2 (TyFun k3 (TyFun k4 Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025281Scrutinee_6989586621680024763Sym1 :: k1 -> TyFun k2 (TyFun k2 (TyFun k3 (TyFun k4 Bool -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025281Scrutinee_6989586621680024763Sym0 :: TyFun k1 (TyFun k2 (TyFun k2 (TyFun k3 (TyFun k4 Bool -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679712862Sym0 :: TyFun (k3 ~> (TyFun a6989586621679701692 Bool -> Type)) (TyFun k1 (TyFun k2 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k3 Bool -> *) -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679712862Sym5 :: (k3 ~> (TyFun a6989586621679701692 Bool -> Type)) -> k1 -> k2 -> a6989586621679701692 -> [a6989586621679701692] -> TyFun k3 Bool -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679712862Sym4 :: (k3 ~> (TyFun a6989586621679701692 Bool -> Type)) -> k1 -> k2 -> a6989586621679701692 -> TyFun [a6989586621679701692] (TyFun k3 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679712862Sym3 :: (k3 ~> (TyFun a6989586621679701692 Bool -> Type)) -> k1 -> k2 -> TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k3 Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679712862Sym2 :: (k3 ~> (TyFun a6989586621679701692 Bool -> Type)) -> k1 -> TyFun k2 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k3 Bool -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Lambda_6989586621679712862Sym1 :: (k3 ~> (TyFun a6989586621679701692 Bool -> Type)) -> TyFun k1 (TyFun k2 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k3 Bool -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025054Scrutinee_6989586621680024777Sym5 :: k2 -> k1 -> k2 -> k3 -> k4 -> TyFun k5 Bool -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025054Scrutinee_6989586621680024777Sym4 :: k2 -> k1 -> k2 -> k3 -> TyFun k4 (TyFun k5 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025054Scrutinee_6989586621680024777Sym3 :: k2 -> k1 -> k2 -> TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025054Scrutinee_6989586621680024777Sym2 :: k2 -> k1 -> TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025054Scrutinee_6989586621680024777Sym1 :: k2 -> TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680024872Scrutinee_6989586621680024787Sym5 :: k2 -> k1 -> k2 -> k3 -> k4 -> TyFun k5 Bool -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680024872Scrutinee_6989586621680024787Sym4 :: k2 -> k1 -> k2 -> k3 -> TyFun k4 (TyFun k5 Bool -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680024872Scrutinee_6989586621680024787Sym3 :: k2 -> k1 -> k2 -> TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680024872Scrutinee_6989586621680024787Sym2 :: k2 -> k1 -> TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680024872Scrutinee_6989586621680024787Sym1 :: k2 -> TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680025054Scrutinee_6989586621680024777Sym0 :: TyFun k2 (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621680024872Scrutinee_6989586621680024787Sym0 :: TyFun k2 (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| type Rep Bool | |
| data Sing (a :: Bool) | |
| type DemoteRep Bool | |
Defined in GHC.Generics | |
| data Vector Bool | |
| type MaxBound | |
Defined in Data.Singletons.Prelude.Enum type MaxBound = MaxBound_6989586621680020857Sym0 | |
| type MinBound | |
Defined in Data.Singletons.Prelude.Enum type MinBound = MinBound_6989586621680020855Sym0 | |
| data Sing (z :: Bool) | |
| type Demote Bool | |
Defined in Data.Singletons.Prelude.Instances | |
| type BitSize Bool # | |
Defined in Clash.Class.BitPack | |
| type FromEnum (a :: Bool) | |
Defined in Data.Singletons.Prelude.Enum | |
| type ToEnum a | |
Defined in Data.Singletons.Prelude.Enum | |
| type Pred (arg :: Bool) | |
| type Succ (arg :: Bool) | |
| type Show_ (arg :: Bool) | |
| data MVector s Bool | |
| type Unbundled domain Bool # | |
Defined in Clash.Signal.Bundle | |
| type EnumFromTo (arg1 :: Bool) (arg2 :: Bool) | |
| type ShowList (arg1 :: [Bool]) arg2 | |
| type Min (arg1 :: Bool) (arg2 :: Bool) | |
| type Max (arg1 :: Bool) (arg2 :: Bool) | |
| type (arg1 :: Bool) >= (arg2 :: Bool) | |
| type (arg1 :: Bool) > (arg2 :: Bool) | |
| type (arg1 :: Bool) <= (arg2 :: Bool) | |
| type (arg1 :: Bool) < (arg2 :: Bool) | |
| type Compare (a1 :: Bool) (a2 :: Bool) | |
| type (x :: Bool) /= (y :: Bool) | |
| type (a :: Bool) == (b :: Bool) | |
Defined in Data.Singletons.Prelude.Eq | |
| type EnumFromThenTo (arg1 :: Bool) (arg2 :: Bool) (arg3 :: Bool) | |
| type ShowsPrec a1 (a2 :: Bool) a3 | |
| type Apply NotSym0 (l :: Bool) | |
Defined in Data.Singletons.Prelude.Bool | |
| type Apply FromEnum_6989586621680043927Sym0 (l :: Bool) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply ToEnum_6989586621680043917Sym0 (l :: Nat) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply ((||@#@$$) l1 :: TyFun Bool Bool -> *) (l2 :: Bool) | |
| type Apply ((&&@#@$$) l1 :: TyFun Bool Bool -> *) (l2 :: Bool) | |
| type Apply (Compare_6989586621679570080Sym1 l1 :: TyFun Bool Ordering -> *) (l2 :: Bool) | |
| type Apply (Let6989586621679562460Scrutinee_6989586621679561305Sym1 l1 :: TyFun k1 Bool -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (TFHelper_6989586621679562616Sym1 l1 :: TyFun a Bool -> *) (l2 :: a) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (TFHelper_6989586621679562583Sym1 l1 :: TyFun a Bool -> *) (l2 :: a) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (TFHelper_6989586621679562550Sym1 l1 :: TyFun a Bool -> *) (l2 :: a) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (TFHelper_6989586621679562517Sym1 l1 :: TyFun a Bool -> *) (l2 :: a) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply ((<=@#@$$) l1 :: TyFun a Bool -> *) (l2 :: a) | |
| type Apply ((>=@#@$$) l1 :: TyFun a Bool -> *) (l2 :: a) | |
| type Apply ((>@#@$$) l1 :: TyFun a Bool -> *) (l2 :: a) | |
| type Apply (Let6989586621679562669Scrutinee_6989586621679561319Sym1 l1 :: TyFun k1 Bool -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Let6989586621679562636Scrutinee_6989586621679561317Sym1 l1 :: TyFun k1 Bool -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Let6989586621679562470Scrutinee_6989586621679561307Sym1 l1 :: TyFun k1 Bool -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply ((<@#@$$) l1 :: TyFun a Bool -> *) (l2 :: a) | |
| type Apply ((==@#@$$) l1 :: TyFun a Bool -> *) (l2 :: a) | |
| type Apply ((/=@#@$$) l1 :: TyFun a Bool -> *) (l2 :: a) | |
| type Apply (Bool_Sym2 l1 l2 :: TyFun Bool a -> *) (l3 :: Bool) | |
| type Apply (Let6989586621679710977Scrutinee_6989586621679702290Sym1 l1 :: TyFun k Bool -> *) (l2 :: k) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679710950Scrutinee_6989586621679702292Sym2 l1 l2 :: TyFun k3 Bool -> *) (l3 :: k3) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679711141Scrutinee_6989586621679702276Sym2 l1 l2 :: TyFun k3 Bool -> *) (l3 :: k3) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679711169Scrutinee_6989586621679702274Sym2 l1 l2 :: TyFun k3 Bool -> *) (l3 :: k3) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679711107Scrutinee_6989586621679702286Sym3 l1 l2 l3 :: TyFun k3 Bool -> *) (l4 :: k3) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679713777Scrutinee_6989586621679702268Sym3 l1 l2 l3 :: TyFun k Bool -> *) (l4 :: k) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621680025281Scrutinee_6989586621680024763Sym4 l1 l2 l3 l4 :: TyFun k4 Bool -> *) (l5 :: k4) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply (Lambda_6989586621679712862Sym5 l1 l2 l3 l4 l5 :: TyFun k1 Bool -> *) (l6 :: k1) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621680024872Scrutinee_6989586621680024787Sym5 l1 l2 l3 l4 l5 :: TyFun k5 Bool -> *) (l6 :: k5) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply (Let6989586621680025054Scrutinee_6989586621680024777Sym5 l1 l2 l3 l4 l5 :: TyFun k5 Bool -> *) (l6 :: k5) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply (||@#@$) (l :: Bool) | |
Defined in Data.Singletons.Prelude.Bool | |
| type Apply (&&@#@$) (l :: Bool) | |
Defined in Data.Singletons.Prelude.Bool | |
| type Apply Compare_6989586621679570080Sym0 (l :: Bool) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply ShowParenSym0 (l :: Bool) | |
Defined in Data.Singletons.Prelude.Show | |
| type Apply ShowsPrec_6989586621679909840Sym0 (l :: Nat) | |
Defined in Data.Singletons.Prelude.Show | |
| type Apply (ShowsPrec_6989586621679909840Sym1 l1 :: TyFun Bool (TyFun Symbol Symbol -> Type) -> *) (l2 :: Bool) | |
| type Apply (Let6989586621679562460Scrutinee_6989586621679561305Sym0 :: TyFun k1 (TyFun k1 Bool -> *) -> *) (l :: k1) | |
| type Apply (TFHelper_6989586621679562616Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) (l :: a6989586621679561287) | |
| type Apply (TFHelper_6989586621679562583Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) (l :: a6989586621679561287) | |
| type Apply (TFHelper_6989586621679562550Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) (l :: a6989586621679561287) | |
| type Apply (TFHelper_6989586621679562517Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) (l :: a6989586621679561287) | |
| type Apply ((<=@#@$) :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) (l :: a6989586621679561287) | |
| type Apply ((>=@#@$) :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) (l :: a6989586621679561287) | |
| type Apply ((>@#@$) :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) (l :: a6989586621679561287) | |
| type Apply (Let6989586621679562669Scrutinee_6989586621679561319Sym0 :: TyFun k1 (TyFun k1 Bool -> *) -> *) (l :: k1) | |
| type Apply (Let6989586621679562636Scrutinee_6989586621679561317Sym0 :: TyFun k1 (TyFun k1 Bool -> *) -> *) (l :: k1) | |
| type Apply (Let6989586621679562470Scrutinee_6989586621679561307Sym0 :: TyFun k1 (TyFun k1 Bool -> *) -> *) (l :: k1) | |
| type Apply ((<@#@$) :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Bool -> Type) -> *) (l :: a6989586621679561287) | |
| type Apply (NotElemSym0 :: TyFun a6989586621679701671 (TyFun [a6989586621679701671] Bool -> Type) -> *) (l :: a6989586621679701671) | |
Defined in Data.Singletons.Prelude.List type Apply (NotElemSym0 :: TyFun a6989586621679701671 (TyFun [a6989586621679701671] Bool -> Type) -> *) (l :: a6989586621679701671) = NotElemSym1 l | |
| type Apply (ElemSym0 :: TyFun a6989586621679701672 (TyFun [a6989586621679701672] Bool -> Type) -> *) (l :: a6989586621679701672) | |
| type Apply ((==@#@$) :: TyFun a6989586621679550344 (TyFun a6989586621679550344 Bool -> Type) -> *) (l :: a6989586621679550344) | |
| type Apply ((/=@#@$) :: TyFun a6989586621679550344 (TyFun a6989586621679550344 Bool -> Type) -> *) (l :: a6989586621679550344) | |
| type Apply (Bool_Sym0 :: TyFun a6989586621679547956 (TyFun a6989586621679547956 (TyFun Bool a6989586621679547956 -> Type) -> Type) -> *) (l :: a6989586621679547956) | |
| type Apply (Let6989586621679710977Scrutinee_6989586621679702290Sym0 :: TyFun k1 (TyFun k Bool -> *) -> *) (l :: k1) | |
| type Apply (Elem_bySym1 l1 :: TyFun a6989586621679701589 (TyFun [a6989586621679701589] Bool -> Type) -> *) (l2 :: a6989586621679701589) | |
| type Apply (Bool_Sym1 l1 :: TyFun a6989586621679547956 (TyFun Bool a6989586621679547956 -> Type) -> *) (l2 :: a6989586621679547956) | |
| type Apply (Let6989586621679710950Scrutinee_6989586621679702292Sym0 :: TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) (l :: k1) | |
| type Apply (Let6989586621679711107Scrutinee_6989586621679702286Sym0 :: TyFun k1 (TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) -> *) (l :: k1) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679711141Scrutinee_6989586621679702276Sym0 :: TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) (l :: k1) | |
| type Apply (Let6989586621679711169Scrutinee_6989586621679702274Sym0 :: TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) (l :: k1) | |
| type Apply (Let6989586621679712240Scrutinee_6989586621679702294Sym0 :: TyFun k1 (TyFun k2 (TyFun k3 (TyFun [k2] Bool -> *) -> *) -> *) -> *) (l :: k1) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679710950Scrutinee_6989586621679702292Sym1 l1 :: TyFun k1 (TyFun k3 Bool -> *) -> *) (l2 :: k1) | |
| type Apply (Let6989586621679711107Scrutinee_6989586621679702286Sym1 l1 :: TyFun k1 (TyFun k2 (TyFun k3 Bool -> *) -> *) -> *) (l2 :: k1) | |
| type Apply (Let6989586621679711141Scrutinee_6989586621679702276Sym1 l1 :: TyFun k1 (TyFun k3 Bool -> *) -> *) (l2 :: k1) | |
| type Apply (Let6989586621679711169Scrutinee_6989586621679702274Sym1 l1 :: TyFun k1 (TyFun k3 Bool -> *) -> *) (l2 :: k1) | |
| type Apply (Let6989586621679710909Scrutinee_6989586621679702296Sym1 l1 :: TyFun k1 (TyFun k2 (TyFun k3 (TyFun [k2] Bool -> *) -> *) -> *) -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679712240Scrutinee_6989586621679702294Sym1 l1 :: TyFun k1 (TyFun k3 (TyFun [k1] Bool -> *) -> *) -> *) (l2 :: k1) | |
| type Apply (Let6989586621679713777Scrutinee_6989586621679702268Sym1 l1 :: TyFun k1 (TyFun [a6989586621679701709] (TyFun k Bool -> *) -> *) -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621680025281Scrutinee_6989586621680024763Sym0 :: TyFun k1 (TyFun k2 (TyFun k2 (TyFun k3 (TyFun k4 Bool -> *) -> *) -> *) -> *) -> *) (l :: k1) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply (Let6989586621679711107Scrutinee_6989586621679702286Sym2 l1 l2 :: TyFun k2 (TyFun k3 Bool -> *) -> *) (l3 :: k2) | |
| type Apply (Let6989586621679710909Scrutinee_6989586621679702296Sym2 l1 l2 :: TyFun k2 (TyFun k3 (TyFun [k2] Bool -> *) -> *) -> *) (l3 :: k2) | |
| type Apply (Let6989586621679712240Scrutinee_6989586621679702294Sym2 l1 l2 :: TyFun k3 (TyFun [k1] Bool -> *) -> *) (l3 :: k3) | |
| type Apply (Lambda_6989586621679712862Sym1 l1 :: TyFun k2 (TyFun k3 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k1 Bool -> *) -> *) -> *) -> *) -> *) (l2 :: k2) | |
Defined in Data.Singletons.Prelude.List type Apply (Lambda_6989586621679712862Sym1 l1 :: TyFun k2 (TyFun k3 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k1 Bool -> *) -> *) -> *) -> *) -> *) (l2 :: k2) = (Lambda_6989586621679712862Sym2 l1 l2 :: TyFun k3 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k1 Bool -> *) -> *) -> *) -> *) | |
| type Apply (Let6989586621680024872Scrutinee_6989586621680024787Sym0 :: TyFun k1 (TyFun k2 (TyFun k1 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) -> *) (l :: k1) | |
Defined in Data.Singletons.Prelude.Enum type Apply (Let6989586621680024872Scrutinee_6989586621680024787Sym0 :: TyFun k1 (TyFun k2 (TyFun k1 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) -> *) (l :: k1) = (Let6989586621680024872Scrutinee_6989586621680024787Sym1 l :: TyFun k2 (TyFun k1 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) | |
| type Apply (Let6989586621680025054Scrutinee_6989586621680024777Sym0 :: TyFun k1 (TyFun k2 (TyFun k1 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) -> *) (l :: k1) | |
Defined in Data.Singletons.Prelude.Enum type Apply (Let6989586621680025054Scrutinee_6989586621680024777Sym0 :: TyFun k1 (TyFun k2 (TyFun k1 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) -> *) (l :: k1) = (Let6989586621680025054Scrutinee_6989586621680024777Sym1 l :: TyFun k2 (TyFun k1 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) | |
| type Apply (Let6989586621680025281Scrutinee_6989586621680024763Sym1 l1 :: TyFun k1 (TyFun k1 (TyFun k3 (TyFun k4 Bool -> *) -> *) -> *) -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply (Let6989586621679710909Scrutinee_6989586621679702296Sym3 l1 l2 l3 :: TyFun k3 (TyFun [k2] Bool -> *) -> *) (l4 :: k3) | |
| type Apply (Lambda_6989586621679712862Sym2 l1 l2 :: TyFun k3 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k1 Bool -> *) -> *) -> *) -> *) (l3 :: k3) | |
| type Apply (Let6989586621680024872Scrutinee_6989586621680024787Sym1 l1 :: TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Enum type Apply (Let6989586621680024872Scrutinee_6989586621680024787Sym1 l1 :: TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) (l2 :: k1) = (Let6989586621680024872Scrutinee_6989586621680024787Sym2 l1 l2 :: TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) | |
| type Apply (Let6989586621680025054Scrutinee_6989586621680024777Sym1 l1 :: TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Enum type Apply (Let6989586621680025054Scrutinee_6989586621680024777Sym1 l1 :: TyFun k1 (TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) -> *) (l2 :: k1) = (Let6989586621680025054Scrutinee_6989586621680024777Sym2 l1 l2 :: TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) | |
| type Apply (Let6989586621680025281Scrutinee_6989586621680024763Sym2 l1 l2 :: TyFun k1 (TyFun k3 (TyFun k4 Bool -> *) -> *) -> *) (l3 :: k1) | |
| type Apply (Lambda_6989586621679712862Sym3 l1 l2 l3 :: TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k1 Bool -> *) -> *) -> *) (l4 :: a6989586621679701692) | |
| type Apply (Let6989586621680024872Scrutinee_6989586621680024787Sym2 l1 l2 :: TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) (l3 :: k2) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply (Let6989586621680025054Scrutinee_6989586621680024777Sym2 l1 l2 :: TyFun k2 (TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) -> *) (l3 :: k2) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply (Let6989586621680025281Scrutinee_6989586621680024763Sym3 l1 l2 l3 :: TyFun k3 (TyFun k4 Bool -> *) -> *) (l4 :: k3) | |
| type Apply (Let6989586621680024872Scrutinee_6989586621680024787Sym3 l1 l2 l3 :: TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) (l4 :: k3) | |
| type Apply (Let6989586621680025054Scrutinee_6989586621680024777Sym3 l1 l2 l3 :: TyFun k3 (TyFun k4 (TyFun k5 Bool -> *) -> *) -> *) (l4 :: k3) | |
| type Apply (Let6989586621680024872Scrutinee_6989586621680024787Sym4 l1 l2 l3 l4 :: TyFun k4 (TyFun k5 Bool -> *) -> *) (l5 :: k4) | |
| type Apply (Let6989586621680025054Scrutinee_6989586621680024777Sym4 l1 l2 l3 l4 :: TyFun k4 (TyFun k5 Bool -> *) -> *) (l5 :: k4) | |
| type Apply OrSym0 (l :: [Bool]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply AndSym0 (l :: [Bool]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (NullSym0 :: TyFun [a] Bool -> *) (l :: [a]) | |
| type Apply (IsNothingSym0 :: TyFun (Maybe a) Bool -> *) (l :: Maybe a) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (IsJustSym0 :: TyFun (Maybe a) Bool -> *) (l :: Maybe a) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (NotElemSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (ElemSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) | |
| type Apply (IsPrefixOfSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (AnySym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) | |
| type Apply (IsInfixOfSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (AllSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) | |
| type Apply (IsSuffixOfSym1 l1 :: TyFun [a] Bool -> *) (l2 :: [a]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Elem_bySym2 l1 l2 :: TyFun [a] Bool -> *) (l3 :: [a]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679712240Scrutinee_6989586621679702294Sym3 l1 l2 l3 :: TyFun [k1] Bool -> *) (l4 :: [k1]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679710909Scrutinee_6989586621679702296Sym4 l1 l2 l3 l4 :: TyFun [k2] Bool -> *) (l5 :: [k2]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (IsPrefixOfSym0 :: TyFun [a6989586621679701675] (TyFun [a6989586621679701675] Bool -> Type) -> *) (l :: [a6989586621679701675]) | |
Defined in Data.Singletons.Prelude.List type Apply (IsPrefixOfSym0 :: TyFun [a6989586621679701675] (TyFun [a6989586621679701675] Bool -> Type) -> *) (l :: [a6989586621679701675]) = IsPrefixOfSym1 l | |
| type Apply (IsInfixOfSym0 :: TyFun [a6989586621679701673] (TyFun [a6989586621679701673] Bool -> Type) -> *) (l :: [a6989586621679701673]) | |
Defined in Data.Singletons.Prelude.List type Apply (IsInfixOfSym0 :: TyFun [a6989586621679701673] (TyFun [a6989586621679701673] Bool -> Type) -> *) (l :: [a6989586621679701673]) = IsInfixOfSym1 l | |
| type Apply (IsSuffixOfSym0 :: TyFun [a6989586621679701674] (TyFun [a6989586621679701674] Bool -> Type) -> *) (l :: [a6989586621679701674]) | |
Defined in Data.Singletons.Prelude.List type Apply (IsSuffixOfSym0 :: TyFun [a6989586621679701674] (TyFun [a6989586621679701674] Bool -> Type) -> *) (l :: [a6989586621679701674]) = IsSuffixOfSym1 l | |
| type Apply (Let6989586621679713777Scrutinee_6989586621679702268Sym2 l1 l2 :: TyFun [a6989586621679701709] (TyFun k Bool -> *) -> *) (l3 :: [a6989586621679701709]) | |
| type Apply (Lambda_6989586621679712862Sym4 l1 l2 l3 l4 :: TyFun [a6989586621679701692] (TyFun k1 Bool -> *) -> *) (l5 :: [a6989586621679701692]) | |
| type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) | |
Defined in Data.Singletons.Prelude.Either | |
| type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) | |
Defined in Data.Singletons.Prelude.Either | |
| type Apply (Elem_bySym0 :: TyFun (TyFun a6989586621679701589 (TyFun a6989586621679701589 Bool -> Type) -> Type) (TyFun a6989586621679701589 (TyFun [a6989586621679701589] Bool -> Type) -> Type) -> *) (l :: TyFun a6989586621679701589 (TyFun a6989586621679701589 Bool -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (NubBySym0 :: TyFun (TyFun a6989586621679701590 (TyFun a6989586621679701590 Bool -> Type) -> Type) (TyFun [a6989586621679701590] [a6989586621679701590] -> Type) -> *) (l :: TyFun a6989586621679701590 (TyFun a6989586621679701590 Bool -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (SelectSym0 :: TyFun (TyFun a6989586621679701598 Bool -> Type) (TyFun a6989586621679701598 (TyFun ([a6989586621679701598], [a6989586621679701598]) ([a6989586621679701598], [a6989586621679701598]) -> Type) -> Type) -> *) (l :: TyFun a6989586621679701598 Bool -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (PartitionSym0 :: TyFun (TyFun a6989586621679701599 Bool -> Type) (TyFun [a6989586621679701599] ([a6989586621679701599], [a6989586621679701599]) -> Type) -> *) (l :: TyFun a6989586621679701599 Bool -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (BreakSym0 :: TyFun (TyFun a6989586621679701611 Bool -> Type) (TyFun [a6989586621679701611] ([a6989586621679701611], [a6989586621679701611]) -> Type) -> *) (l :: TyFun a6989586621679701611 Bool -> Type) | |
| type Apply (Let6989586621679711237ZsSym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) (l :: TyFun k Bool -> Type) | |
| type Apply (Let6989586621679711237YsSym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) (l :: TyFun k Bool -> Type) | |
| type Apply (Let6989586621679711237X_6989586621679711238Sym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] ([k], [k]) -> *) -> *) -> *) (l :: TyFun k Bool -> Type) | |
| type Apply (SpanSym0 :: TyFun (TyFun a6989586621679701612 Bool -> Type) (TyFun [a6989586621679701612] ([a6989586621679701612], [a6989586621679701612]) -> Type) -> *) (l :: TyFun a6989586621679701612 Bool -> Type) | |
| type Apply (Let6989586621679711330ZsSym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) (l :: TyFun k Bool -> Type) | |
| type Apply (Let6989586621679711330YsSym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] [k] -> *) -> *) -> *) (l :: TyFun k Bool -> Type) | |
| type Apply (Let6989586621679711330X_6989586621679711331Sym0 :: TyFun (TyFun k Bool -> Type) (TyFun k (TyFun [k] ([k], [k]) -> *) -> *) -> *) (l :: TyFun k Bool -> Type) | |
| type Apply (GroupBySym0 :: TyFun (TyFun a6989586621679701602 (TyFun a6989586621679701602 Bool -> Type) -> Type) (TyFun [a6989586621679701602] [[a6989586621679701602]] -> Type) -> *) (l :: TyFun a6989586621679701602 (TyFun a6989586621679701602 Bool -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (DropWhileSym0 :: TyFun (TyFun a6989586621679701614 Bool -> Type) (TyFun [a6989586621679701614] [a6989586621679701614] -> Type) -> *) (l :: TyFun a6989586621679701614 Bool -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (TakeWhileSym0 :: TyFun (TyFun a6989586621679701615 Bool -> Type) (TyFun [a6989586621679701615] [a6989586621679701615] -> Type) -> *) (l :: TyFun a6989586621679701615 Bool -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (FilterSym0 :: TyFun (TyFun a6989586621679701623 Bool -> Type) (TyFun [a6989586621679701623] [a6989586621679701623] -> Type) -> *) (l :: TyFun a6989586621679701623 Bool -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (FindSym0 :: TyFun (TyFun a6989586621679701622 Bool -> Type) (TyFun [a6989586621679701622] (Maybe a6989586621679701622) -> Type) -> *) (l :: TyFun a6989586621679701622 Bool -> Type) | |
| type Apply (DeleteBySym0 :: TyFun (TyFun a6989586621679701629 (TyFun a6989586621679701629 Bool -> Type) -> Type) (TyFun a6989586621679701629 (TyFun [a6989586621679701629] [a6989586621679701629] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701629 (TyFun a6989586621679701629 Bool -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List type Apply (DeleteBySym0 :: TyFun (TyFun a6989586621679701629 (TyFun a6989586621679701629 Bool -> Type) -> Type) (TyFun a6989586621679701629 (TyFun [a6989586621679701629] [a6989586621679701629] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701629 (TyFun a6989586621679701629 Bool -> Type) -> Type) = DeleteBySym1 l | |
| type Apply (DeleteFirstsBySym0 :: TyFun (TyFun a6989586621679701628 (TyFun a6989586621679701628 Bool -> Type) -> Type) (TyFun [a6989586621679701628] (TyFun [a6989586621679701628] [a6989586621679701628] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701628 (TyFun a6989586621679701628 Bool -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List type Apply (DeleteFirstsBySym0 :: TyFun (TyFun a6989586621679701628 (TyFun a6989586621679701628 Bool -> Type) -> Type) (TyFun [a6989586621679701628] (TyFun [a6989586621679701628] [a6989586621679701628] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701628 (TyFun a6989586621679701628 Bool -> Type) -> Type) = DeleteFirstsBySym1 l | |
| type Apply (UnionBySym0 :: TyFun (TyFun a6989586621679701588 (TyFun a6989586621679701588 Bool -> Type) -> Type) (TyFun [a6989586621679701588] (TyFun [a6989586621679701588] [a6989586621679701588] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701588 (TyFun a6989586621679701588 Bool -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List type Apply (UnionBySym0 :: TyFun (TyFun a6989586621679701588 (TyFun a6989586621679701588 Bool -> Type) -> Type) (TyFun [a6989586621679701588] (TyFun [a6989586621679701588] [a6989586621679701588] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701588 (TyFun a6989586621679701588 Bool -> Type) -> Type) = UnionBySym1 l | |
| type Apply (FindIndicesSym0 :: TyFun (TyFun a6989586621679701618 Bool -> Type) (TyFun [a6989586621679701618] [Nat] -> Type) -> *) (l :: TyFun a6989586621679701618 Bool -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (FindIndexSym0 :: TyFun (TyFun a6989586621679701619 Bool -> Type) (TyFun [a6989586621679701619] (Maybe Nat) -> Type) -> *) (l :: TyFun a6989586621679701619 Bool -> Type) | |
| type Apply (AnySym0 :: TyFun (TyFun a6989586621679701692 Bool -> Type) (TyFun [a6989586621679701692] Bool -> Type) -> *) (l :: TyFun a6989586621679701692 Bool -> Type) | |
| type Apply (IntersectBySym0 :: TyFun (TyFun a6989586621679701616 (TyFun a6989586621679701616 Bool -> Type) -> Type) (TyFun [a6989586621679701616] (TyFun [a6989586621679701616] [a6989586621679701616] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701616 (TyFun a6989586621679701616 Bool -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List type Apply (IntersectBySym0 :: TyFun (TyFun a6989586621679701616 (TyFun a6989586621679701616 Bool -> Type) -> Type) (TyFun [a6989586621679701616] (TyFun [a6989586621679701616] [a6989586621679701616] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701616 (TyFun a6989586621679701616 Bool -> Type) -> Type) = IntersectBySym1 l | |
| type Apply (AllSym0 :: TyFun (TyFun a6989586621679701693 Bool -> Type) (TyFun [a6989586621679701693] Bool -> Type) -> *) (l :: TyFun a6989586621679701693 Bool -> Type) | |
| type Apply (DropWhileEndSym0 :: TyFun (TyFun a6989586621679701613 Bool -> Type) (TyFun [a6989586621679701613] [a6989586621679701613] -> Type) -> *) (l :: TyFun a6989586621679701613 Bool -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679710885NubBy'Sym0 :: TyFun (TyFun k1 (TyFun k1 Bool -> Type) -> Type) (TyFun k (TyFun [k1] ([k1] ~> [k1]) -> *) -> *) -> *) (l :: TyFun k1 (TyFun k1 Bool -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679711394ZsSym0 :: TyFun (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) (TyFun k1 (TyFun [a6989586621679701612] [a6989586621679701612] -> *) -> *) -> *) (l :: k1 ~> (TyFun a6989586621679701612 Bool -> Type)) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679711394YsSym0 :: TyFun (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) (TyFun k1 (TyFun [a6989586621679701612] [a6989586621679701612] -> *) -> *) -> *) (l :: k1 ~> (TyFun a6989586621679701612 Bool -> Type)) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679711394X_6989586621679711395Sym0 :: TyFun (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) (TyFun k1 (TyFun [a6989586621679701612] ([a6989586621679701612], [a6989586621679701612]) -> *) -> *) -> *) (l :: k1 ~> (TyFun a6989586621679701612 Bool -> Type)) | |
Defined in Data.Singletons.Prelude.List type Apply (Let6989586621679711394X_6989586621679711395Sym0 :: TyFun (k1 ~> (TyFun a6989586621679701612 Bool -> Type)) (TyFun k1 (TyFun [a6989586621679701612] ([a6989586621679701612], [a6989586621679701612]) -> *) -> *) -> *) (l :: k1 ~> (TyFun a6989586621679701612 Bool -> Type)) = Let6989586621679711394X_6989586621679711395Sym1 l | |
| type Apply (Lambda_6989586621679713773Sym0 :: TyFun (a6989586621679701709 ~> Bool) (TyFun k (TyFun a6989586621679701709 (TyFun [a6989586621679701709] [a6989586621679701709] -> *) -> *) -> *) -> *) (l :: a6989586621679701709 ~> Bool) | |
Defined in Data.Singletons.Prelude.List type Apply (Lambda_6989586621679713773Sym0 :: TyFun (a6989586621679701709 ~> Bool) (TyFun k (TyFun a6989586621679701709 (TyFun [a6989586621679701709] [a6989586621679701709] -> *) -> *) -> *) -> *) (l :: a6989586621679701709 ~> Bool) = (Lambda_6989586621679713773Sym1 l :: TyFun k (TyFun a6989586621679701709 (TyFun [a6989586621679701709] [a6989586621679701709] -> *) -> *) -> *) | |
| type Apply (Let6989586621679710909Scrutinee_6989586621679702296Sym0 :: TyFun (TyFun k1 (TyFun k1 Bool -> Type) -> Type) (TyFun k2 (TyFun k1 (TyFun k3 (TyFun [k1] Bool -> *) -> *) -> *) -> *) -> *) (l :: TyFun k1 (TyFun k1 Bool -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List type Apply (Let6989586621679710909Scrutinee_6989586621679702296Sym0 :: TyFun (TyFun k1 (TyFun k1 Bool -> Type) -> Type) (TyFun k2 (TyFun k1 (TyFun k3 (TyFun [k1] Bool -> *) -> *) -> *) -> *) -> *) (l :: TyFun k1 (TyFun k1 Bool -> Type) -> Type) = (Let6989586621679710909Scrutinee_6989586621679702296Sym1 l :: TyFun k2 (TyFun k1 (TyFun k3 (TyFun [k1] Bool -> *) -> *) -> *) -> *) | |
| type Apply (Let6989586621679713777Scrutinee_6989586621679702268Sym0 :: TyFun (k1 ~> Bool) (TyFun k1 (TyFun [a6989586621679701709] (TyFun k Bool -> *) -> *) -> *) -> *) (l :: k1 ~> Bool) | |
Defined in Data.Singletons.Prelude.List type Apply (Let6989586621679713777Scrutinee_6989586621679702268Sym0 :: TyFun (k1 ~> Bool) (TyFun k1 (TyFun [a6989586621679701709] (TyFun k Bool -> *) -> *) -> *) -> *) (l :: k1 ~> Bool) = (Let6989586621679713777Scrutinee_6989586621679702268Sym1 l :: TyFun k1 (TyFun [a6989586621679701709] (TyFun k Bool -> *) -> *) -> *) | |
| type Apply (Lambda_6989586621679712862Sym0 :: TyFun (k1 ~> (TyFun a6989586621679701692 Bool -> Type)) (TyFun k2 (TyFun k3 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k1 Bool -> *) -> *) -> *) -> *) -> *) -> *) (l :: k1 ~> (TyFun a6989586621679701692 Bool -> Type)) | |
Defined in Data.Singletons.Prelude.List type Apply (Lambda_6989586621679712862Sym0 :: TyFun (k1 ~> (TyFun a6989586621679701692 Bool -> Type)) (TyFun k2 (TyFun k3 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k1 Bool -> *) -> *) -> *) -> *) -> *) -> *) (l :: k1 ~> (TyFun a6989586621679701692 Bool -> Type)) = (Lambda_6989586621679712862Sym1 l :: TyFun k2 (TyFun k3 (TyFun a6989586621679701692 (TyFun [a6989586621679701692] (TyFun k1 Bool -> *) -> *) -> *) -> *) -> *) | |
The character type Char is an enumeration whose values represent
Unicode (or equivalently ISO/IEC 10646) code points (i.e. characters, see
http://www.unicode.org/ for details). This set extends the ISO 8859-1
(Latin-1) character set (the first 256 characters), which is itself an extension
of the ASCII character set (the first 128 characters). A character literal in
Haskell has type Char.
To convert a Char to or from the corresponding Int value defined
by Unicode, use toEnum and fromEnum from the
Enum class respectively (or equivalently ord and chr).
Instances
Double-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE double-precision type.
Instances
Single-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE single-precision type.
Instances
A fixed-precision integer type with at least the range [-2^29 .. 2^29-1].
The exact range for a given implementation can be determined by using
minBound and maxBound from the Bounded class.
Instances
Invariant: Jn# and Jp# are used iff value doesn't fit in S#
Useful properties resulting from the invariants:
Instances
The Maybe type encapsulates an optional value. A value of type
either contains a value of type Maybe aa (represented as ),
or it is empty (represented as Just aNothing). Using Maybe is a good way to
deal with errors or exceptional cases without resorting to drastic
measures such as error.
The Maybe type is also a monad. It is a simple kind of error
monad, where all errors are represented by Nothing. A richer
error monad can be built using the Either type.
Instances
| Monad Maybe | Since: base-2.1 |
| Functor Maybe | Since: base-2.1 |
| Applicative Maybe | Since: base-2.1 |
| 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 # | |
| Traversable Maybe | Since: base-2.1 |
| Arbitrary1 Maybe | |
Defined in Test.QuickCheck.Arbitrary | |
| Eq1 Maybe | Since: base-4.9.0.0 |
| Ord1 Maybe | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read1 Maybe | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Show1 Maybe | Since: base-4.9.0.0 |
| Alternative Maybe | Since: base-2.1 |
| MonadPlus Maybe | Since: base-2.1 |
| NFData1 Maybe | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| FunctorWithIndex () Maybe | |
| FoldableWithIndex () Maybe | |
Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (() -> a -> m) -> Maybe a -> m # ifolded :: (Indexable () p, Contravariant f, Applicative f) => p a (f a) -> Maybe a -> f (Maybe a) # ifoldr :: (() -> a -> b -> b) -> b -> Maybe a -> b # ifoldl :: (() -> b -> a -> b) -> b -> Maybe a -> b # | |
| TraversableWithIndex () Maybe | |
Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (() -> a -> f b) -> Maybe a -> f (Maybe b) # itraversed :: (Indexable () p, Applicative f) => p a (f b) -> Maybe a -> f (Maybe b) # | |
| () :=> (Functor Maybe) | |
| () :=> (Applicative Maybe) | |
Defined in Data.Constraint Methods ins :: () :- Applicative Maybe # | |
| () :=> (Alternative Maybe) | |
Defined in Data.Constraint Methods ins :: () :- Alternative Maybe # | |
| () :=> (MonadPlus Maybe) | |
| Eq a => Eq (Maybe 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) # | |
| Ord a => Ord (Maybe a) | |
| Read a => Read (Maybe a) | Since: base-2.1 |
| Show a => Show (Maybe a) | |
| Generic (Maybe a) | |
| Semigroup a => Semigroup (Maybe a) | Since: base-4.9.0.0 |
| Semigroup a => Monoid (Maybe a) | Lift a semigroup into Since 4.11.0: constraint on inner Since: base-2.1 |
| Lift a => Lift (Maybe a) | |
| Arbitrary a => Arbitrary (Maybe a) | |
| CoArbitrary a => CoArbitrary (Maybe a) | |
Defined in Test.QuickCheck.Arbitrary Methods coarbitrary :: Maybe a -> Gen b -> Gen b # | |
| SingKind a => SingKind (Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Default (Maybe a) | |
Defined in Data.Default.Class | |
| NFData a => NFData (Maybe a) | |
Defined in Control.DeepSeq | |
| Ixed (Maybe a) | |
Defined in Control.Lens.At | |
| At (Maybe a) | |
| AsEmpty (Maybe a) | |
Defined in Control.Lens.Empty | |
| PShow (Maybe a) | |
| SShow a => SShow (Maybe a) | |
| ShowSing a => ShowSing (Maybe a) | |
Defined in Data.Singletons.ShowSing Methods showsSingPrec :: Int -> Sing a0 -> ShowS # | |
| POrd (Maybe a) | |
| SOrd a => SOrd (Maybe a) | |
Defined in Data.Singletons.Prelude.Ord Methods sCompare :: Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) # (%<) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) # (%<=) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) # (%>) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) # (%>=) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) # sMax :: Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) # sMin :: Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) # | |
| SEq a => SEq (Maybe a) | |
| PEq (Maybe a) | |
| ShowX a => ShowX (Maybe a) # | |
| (BitPack a, KnownNat (BitSize a)) => BitPack (Maybe a) # | |
| Bundle (Maybe a) # | |
| Generic1 Maybe | |
| SingI (Nothing :: Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| (Eq a) :=> (Eq (Maybe a)) | |
| (Ord a) :=> (Ord (Maybe a)) | |
| (Read a) :=> (Read (Maybe a)) | |
| (Show a) :=> (Show (Maybe a)) | |
| (Semigroup a) :=> (Semigroup (Maybe a)) | |
| (Monoid a) :=> (Monoid (Maybe a)) | |
| Each (Maybe a) (Maybe b) a b |
|
| SingI a2 => SingI (Just a2 :: Maybe a1) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| SuppressUnusedWarnings (FindSym1 :: (TyFun a6989586621679701622 Bool -> Type) -> TyFun [a6989586621679701622] (Maybe a6989586621679701622) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FindIndexSym1 :: (TyFun a6989586621679701619 Bool -> Type) -> TyFun [a6989586621679701619] (Maybe Nat) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569560Sym1 :: Maybe a3530822107858468865 -> TyFun (Maybe a3530822107858468865) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ShowsPrec_6989586621679909690Sym2 :: Nat -> Maybe a3530822107858468865 -> TyFun Symbol Symbol -> *) | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ShowsPrec_6989586621679909690Sym1 :: Nat -> TyFun (Maybe a3530822107858468865) (TyFun Symbol Symbol -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FromMaybeSym1 :: a6989586621679667733 -> TyFun (Maybe a6989586621679667733) a6989586621679667733 -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ElemIndexSym1 :: a6989586621679701621 -> TyFun [a6989586621679701621] (Maybe Nat) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FindSym0 :: TyFun (TyFun a6989586621679701622 Bool -> Type) (TyFun [a6989586621679701622] (Maybe a6989586621679701622) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FindIndexSym0 :: TyFun (TyFun a6989586621679701619 Bool -> Type) (TyFun [a6989586621679701619] (Maybe Nat) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (CatMaybesSym0 :: TyFun [Maybe a6989586621679667730] [a6989586621679667730] -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ListToMaybeSym0 :: TyFun [a6989586621679667731] (Maybe a6989586621679667731) -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569560Sym0 :: TyFun (Maybe a3530822107858468865) (TyFun (Maybe a3530822107858468865) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (MaybeToListSym0 :: TyFun (Maybe a6989586621679667732) [a6989586621679667732] -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsNothingSym0 :: TyFun (Maybe a6989586621679667735) Bool -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsJustSym0 :: TyFun (Maybe a6989586621679667736) Bool -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FromJustSym0 :: TyFun (Maybe a6989586621679667734) a6989586621679667734 -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ShowsPrec_6989586621679909690Sym0 :: TyFun Nat (TyFun (Maybe a3530822107858468865) (TyFun Symbol Symbol -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (FromMaybeSym0 :: TyFun a6989586621679667733 (TyFun (Maybe a6989586621679667733) a6989586621679667733 -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ElemIndexSym0 :: TyFun a6989586621679701621 (TyFun [a6989586621679701621] (Maybe Nat) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (JustSym0 :: TyFun a3530822107858468865 (Maybe a3530822107858468865) -> *) | |
Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (MapMaybeSym1 :: (TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) -> TyFun [a6989586621679667728] [b6989586621679667729] -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679667907RsSym2 :: (TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) -> a6989586621679667728 -> TyFun [a6989586621679667728] [b6989586621679667729] -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679667907RsSym1 :: (TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) -> TyFun a6989586621679667728 (TyFun [a6989586621679667728] [b6989586621679667729] -> *) -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (UnfoldrSym1 :: (TyFun b6989586621679701678 (Maybe (a6989586621679701679, b6989586621679701678)) -> Type) -> TyFun b6989586621679701678 [a6989586621679701679] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Maybe_Sym2 :: b6989586621679666605 -> (TyFun a6989586621679666606 b6989586621679666605 -> Type) -> TyFun (Maybe a6989586621679666606) b6989586621679666605 -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Maybe_Sym1 :: b6989586621679666605 -> TyFun (TyFun a6989586621679666606 b6989586621679666605 -> Type) (TyFun (Maybe a6989586621679666606) b6989586621679666605 -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (LookupSym1 :: a6989586621679701600 -> TyFun [(a6989586621679701600, b6989586621679701601)] (Maybe b6989586621679701601) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (MapMaybeSym0 :: TyFun (TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) (TyFun [a6989586621679667728] [b6989586621679667729] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679667907RsSym0 :: TyFun (TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) (TyFun a6989586621679667728 (TyFun [a6989586621679667728] [b6989586621679667729] -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (UnfoldrSym0 :: TyFun (TyFun b6989586621679701678 (Maybe (a6989586621679701679, b6989586621679701678)) -> Type) (TyFun b6989586621679701678 [a6989586621679701679] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Maybe_Sym0 :: TyFun b6989586621679666605 (TyFun (TyFun a6989586621679666606 b6989586621679666605 -> Type) (TyFun (Maybe a6989586621679666606) b6989586621679666605 -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Maybe Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (LookupSym0 :: TyFun a6989586621679701600 (TyFun [(a6989586621679701600, b6989586621679701601)] (Maybe b6989586621679701601) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| type Unbundled domain (Maybe a) # | |
Defined in Clash.Signal.Bundle | |
| type Apply (JustSym0 :: TyFun a (Maybe a) -> *) (l :: a) | |
| type Apply (ShowsPrec_6989586621679909690Sym0 :: TyFun Nat (TyFun (Maybe a3530822107858468865) (TyFun Symbol Symbol -> Type) -> Type) -> *) (l :: Nat) | |
Defined in Data.Singletons.Prelude.Show | |
| type Apply (FromMaybeSym0 :: TyFun a6989586621679667733 (TyFun (Maybe a6989586621679667733) a6989586621679667733 -> Type) -> *) (l :: a6989586621679667733) | |
Defined in Data.Singletons.Prelude.Maybe type Apply (FromMaybeSym0 :: TyFun a6989586621679667733 (TyFun (Maybe a6989586621679667733) a6989586621679667733 -> Type) -> *) (l :: a6989586621679667733) = FromMaybeSym1 l | |
| type Apply (ElemIndexSym0 :: TyFun a6989586621679701621 (TyFun [a6989586621679701621] (Maybe Nat) -> Type) -> *) (l :: a6989586621679701621) | |
Defined in Data.Singletons.Prelude.List type Apply (ElemIndexSym0 :: TyFun a6989586621679701621 (TyFun [a6989586621679701621] (Maybe Nat) -> Type) -> *) (l :: a6989586621679701621) = ElemIndexSym1 l | |
| type Apply (Maybe_Sym0 :: TyFun b6989586621679666605 (TyFun (TyFun a6989586621679666606 b6989586621679666605 -> Type) (TyFun (Maybe a6989586621679666606) b6989586621679666605 -> Type) -> Type) -> *) (l :: b6989586621679666605) | |
Defined in Data.Singletons.Prelude.Maybe type Apply (Maybe_Sym0 :: TyFun b6989586621679666605 (TyFun (TyFun a6989586621679666606 b6989586621679666605 -> Type) (TyFun (Maybe a6989586621679666606) b6989586621679666605 -> Type) -> Type) -> *) (l :: b6989586621679666605) = (Maybe_Sym1 l :: TyFun (TyFun a6989586621679666606 b6989586621679666605 -> Type) (TyFun (Maybe a6989586621679666606) b6989586621679666605 -> Type) -> *) | |
| type Apply (LookupSym0 :: TyFun a6989586621679701600 (TyFun [(a6989586621679701600, b6989586621679701601)] (Maybe b6989586621679701601) -> Type) -> *) (l :: a6989586621679701600) | |
Defined in Data.Singletons.Prelude.List | |
| type Rep (Maybe a) | |
| data Sing (b :: Maybe a) | |
| type DemoteRep (Maybe a) | |
Defined in GHC.Generics | |
| type Index (Maybe a) | |
Defined in Control.Lens.At | |
| type IxValue (Maybe a) | |
Defined in Control.Lens.At | |
| data Sing (z :: Maybe a) | |
| type Demote (Maybe a) | |
Defined in Data.Singletons.Prelude.Instances | |
| type BitSize (Maybe a) # | |
Defined in Clash.Class.BitPack | |
| type Rep1 Maybe | |
| type Show_ (arg :: Maybe a) | |
| type ShowList (arg1 :: [Maybe a]) arg2 | |
| type Min (arg1 :: Maybe a) (arg2 :: Maybe a) | |
| type Max (arg1 :: Maybe a) (arg2 :: Maybe a) | |
| type (arg1 :: Maybe a) >= (arg2 :: Maybe a) | |
| type (arg1 :: Maybe a) > (arg2 :: Maybe a) | |
| type (arg1 :: Maybe a) <= (arg2 :: Maybe a) | |
| type (arg1 :: Maybe a) < (arg2 :: Maybe a) | |
| type Compare (a2 :: Maybe a1) (a3 :: Maybe a1) | |
| type (x :: Maybe a) /= (y :: Maybe a) | |
| type (a2 :: Maybe a1) == (b :: Maybe a1) | |
Defined in Data.Singletons.Prelude.Eq | |
| type ShowsPrec a2 (a3 :: Maybe a1) a4 | |
| type Apply (FromJustSym0 :: TyFun (Maybe a) a -> *) (l :: Maybe a) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (IsNothingSym0 :: TyFun (Maybe a) Bool -> *) (l :: Maybe a) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (IsJustSym0 :: TyFun (Maybe a) Bool -> *) (l :: Maybe a) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (Compare_6989586621679569560Sym1 l1 :: TyFun (Maybe a) Ordering -> *) (l2 :: Maybe a) | |
| type Apply (FromMaybeSym1 l1 :: TyFun (Maybe a) a -> *) (l2 :: Maybe a) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (Maybe_Sym2 l1 l2 :: TyFun (Maybe a) b -> *) (l3 :: Maybe a) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (CatMaybesSym0 :: TyFun [Maybe a] [a] -> *) (l :: [Maybe a]) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (ListToMaybeSym0 :: TyFun [a] (Maybe a) -> *) (l :: [a]) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (MaybeToListSym0 :: TyFun (Maybe a) [a] -> *) (l :: Maybe a) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (FindSym1 l1 :: TyFun [a] (Maybe a) -> *) (l2 :: [a]) | |
| type Apply (FindIndexSym1 l1 :: TyFun [a] (Maybe Nat) -> *) (l2 :: [a]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (ElemIndexSym1 l1 :: TyFun [a] (Maybe Nat) -> *) (l2 :: [a]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (LookupSym1 l1 :: TyFun [(a, b)] (Maybe b) -> *) (l2 :: [(a, b)]) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Compare_6989586621679569560Sym0 :: TyFun (Maybe a3530822107858468865) (TyFun (Maybe a3530822107858468865) Ordering -> Type) -> *) (l :: Maybe a3530822107858468865) | |
| type Apply (ShowsPrec_6989586621679909690Sym1 l1 :: TyFun (Maybe a3530822107858468865) (TyFun Symbol Symbol -> Type) -> *) (l2 :: Maybe a3530822107858468865) | |
| type Apply (FindSym0 :: TyFun (TyFun a6989586621679701622 Bool -> Type) (TyFun [a6989586621679701622] (Maybe a6989586621679701622) -> Type) -> *) (l :: TyFun a6989586621679701622 Bool -> Type) | |
| type Apply (FindIndexSym0 :: TyFun (TyFun a6989586621679701619 Bool -> Type) (TyFun [a6989586621679701619] (Maybe Nat) -> Type) -> *) (l :: TyFun a6989586621679701619 Bool -> Type) | |
| type Apply (MapMaybeSym0 :: TyFun (TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) (TyFun [a6989586621679667728] [b6989586621679667729] -> Type) -> *) (l :: TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) | |
Defined in Data.Singletons.Prelude.Maybe | |
| type Apply (Let6989586621679667907RsSym0 :: TyFun (TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) (TyFun a6989586621679667728 (TyFun [a6989586621679667728] [b6989586621679667729] -> *) -> *) -> *) (l :: TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) | |
Defined in Data.Singletons.Prelude.Maybe type Apply (Let6989586621679667907RsSym0 :: TyFun (TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) (TyFun a6989586621679667728 (TyFun [a6989586621679667728] [b6989586621679667729] -> *) -> *) -> *) (l :: TyFun a6989586621679667728 (Maybe b6989586621679667729) -> Type) = Let6989586621679667907RsSym1 l | |
| type Apply (UnfoldrSym0 :: TyFun (TyFun b6989586621679701678 (Maybe (a6989586621679701679, b6989586621679701678)) -> Type) (TyFun b6989586621679701678 [a6989586621679701679] -> Type) -> *) (l :: TyFun b6989586621679701678 (Maybe (a6989586621679701679, b6989586621679701678)) -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Maybe_Sym1 l1 :: TyFun (TyFun a6989586621679666606 b6989586621679666605 -> Type) (TyFun (Maybe a6989586621679666606) b6989586621679666605 -> Type) -> *) (l2 :: TyFun a6989586621679666606 b6989586621679666605 -> Type) | |
Defined in Data.Singletons.Prelude.Maybe | |
Instances
| Bounded Ordering | Since: base-2.1 |
| Enum Ordering | Since: base-2.1 |
| Eq Ordering | |
| 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 # | |
| Ord Ordering | |
Defined in GHC.Classes | |
| Read Ordering | Since: base-2.1 |
| Show Ordering | |
| Ix Ordering | Since: base-2.1 |
Defined in GHC.Arr | |
| Generic Ordering | |
| Semigroup Ordering | Since: base-4.9.0.0 |
| Monoid Ordering | Since: base-2.1 |
| Arbitrary Ordering | |
| CoArbitrary Ordering | |
Defined in Test.QuickCheck.Arbitrary Methods coarbitrary :: Ordering -> Gen b -> Gen b # | |
| Default Ordering | |
Defined in Data.Default.Class | |
| NFData Ordering | |
Defined in Control.DeepSeq | |
| AsEmpty Ordering | |
Defined in Control.Lens.Empty | |
| PEnum Ordering | |
Defined in Data.Singletons.Prelude.Enum | |
| SEnum Ordering | |
Defined in Data.Singletons.Prelude.Enum Methods sSucc :: Sing t -> Sing (Apply SuccSym0 t) # sPred :: Sing t -> Sing (Apply PredSym0 t) # sToEnum :: Sing t -> Sing (Apply ToEnumSym0 t) # sFromEnum :: Sing t -> Sing (Apply FromEnumSym0 t) # sEnumFromTo :: Sing t1 -> Sing t2 -> Sing (Apply (Apply EnumFromToSym0 t1) t2) # sEnumFromThenTo :: Sing t1 -> Sing t2 -> Sing t3 -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t1) t2) t3) # | |
| PBounded Ordering | |
Defined in Data.Singletons.Prelude.Enum | |
| SBounded Ordering | |
Defined in Data.Singletons.Prelude.Enum | |
| PShow Ordering | |
| SShow Ordering | |
| ShowSing Ordering | |
Defined in Data.Singletons.ShowSing Methods showsSingPrec :: Int -> Sing a -> ShowS # | |
| POrd Ordering | |
| SOrd Ordering | |
Defined in Data.Singletons.Prelude.Ord Methods sCompare :: Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) # (%<) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) # (%<=) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) # (%>) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) # (%>=) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) # sMax :: Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) # sMin :: Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) # | |
| SEq Ordering | |
| PEq Ordering | |
| () :=> (Bounded Ordering) | |
| () :=> (Enum Ordering) | |
| () :=> (Read Ordering) | |
| () :=> (Show Ordering) | |
| () :=> (Semigroup Ordering) | |
| () :=> (Monoid Ordering) | |
| SuppressUnusedWarnings Compare_6989586621679570080Sym1 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ThenCmpSym1 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings Compare_6989586621679570100Sym1 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ShowsPrec_6989586621679909885Sym2 | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ShowsPrec_6989586621679909885Sym1 | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings Compare_6989586621679570120Sym1 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings Compare_6989586621679569697Sym1 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings Compare_6989586621679570080Sym0 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ThenCmpSym0 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings Compare_6989586621679570100Sym0 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings FromEnum_6989586621680043959Sym0 | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ShowsPrec_6989586621679909885Sym0 | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings ToEnum_6989586621680043949Sym0 | |
Defined in Data.Singletons.Prelude.Enum Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings Compare_6989586621679570120Sym0 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings Compare_6989586621679569697Sym0 | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (SortBySym1 :: (TyFun a6989586621679701627 (TyFun a6989586621679701627 Ordering -> Type) -> Type) -> TyFun [a6989586621679701627] [a6989586621679701627] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (MinimumBySym1 :: (TyFun a6989586621679701624 (TyFun a6989586621679701624 Ordering -> Type) -> Type) -> TyFun [a6989586621679701624] a6989586621679701624 -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (MaximumBySym1 :: (TyFun a6989586621679701625 (TyFun a6989586621679701625 Ordering -> Type) -> Type) -> TyFun [a6989586621679701625] a6989586621679701625 -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (InsertBySym2 :: (TyFun a6989586621679701626 (TyFun a6989586621679701626 Ordering -> Type) -> Type) -> a6989586621679701626 -> TyFun [a6989586621679701626] [a6989586621679701626] -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (InsertBySym1 :: (TyFun a6989586621679701626 (TyFun a6989586621679701626 Ordering -> Type) -> Type) -> TyFun a6989586621679701626 (TyFun [a6989586621679701626] [a6989586621679701626] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569596Sym1 :: [a3530822107858468865] -> TyFun [a3530822107858468865] Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569560Sym1 :: Maybe a3530822107858468865 -> TyFun (Maybe a3530822107858468865) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562603Scrutinee_6989586621679561315Sym1 :: k1 -> TyFun k1 Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562570Scrutinee_6989586621679561313Sym1 :: k1 -> TyFun k1 Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562537Scrutinee_6989586621679561311Sym1 :: k1 -> TyFun k1 Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562504Scrutinee_6989586621679561309Sym1 :: k1 -> TyFun k1 Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679562484Sym1 :: a6989586621679561287 -> TyFun a6989586621679561287 Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (CompareSym1 :: a6989586621679561287 -> TyFun a6989586621679561287 Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569673Sym1 :: NonEmpty a6989586621679060156 -> TyFun (NonEmpty a6989586621679060156) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (SortBySym0 :: TyFun (TyFun a6989586621679701627 (TyFun a6989586621679701627 Ordering -> Type) -> Type) (TyFun [a6989586621679701627] [a6989586621679701627] -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (MinimumBySym0 :: TyFun (TyFun a6989586621679701624 (TyFun a6989586621679701624 Ordering -> Type) -> Type) (TyFun [a6989586621679701624] a6989586621679701624 -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (MaximumBySym0 :: TyFun (TyFun a6989586621679701625 (TyFun a6989586621679701625 Ordering -> Type) -> Type) (TyFun [a6989586621679701625] a6989586621679701625 -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (InsertBySym0 :: TyFun (TyFun a6989586621679701626 (TyFun a6989586621679701626 Ordering -> Type) -> Type) (TyFun a6989586621679701626 (TyFun [a6989586621679701626] [a6989586621679701626] -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569596Sym0 :: TyFun [a3530822107858468865] (TyFun [a3530822107858468865] Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569560Sym0 :: TyFun (Maybe a3530822107858468865) (TyFun (Maybe a3530822107858468865) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562603Scrutinee_6989586621679561315Sym0 :: TyFun k1 (TyFun k1 Ordering -> *) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562570Scrutinee_6989586621679561313Sym0 :: TyFun k1 (TyFun k1 Ordering -> *) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562537Scrutinee_6989586621679561311Sym0 :: TyFun k1 (TyFun k1 Ordering -> *) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679562504Scrutinee_6989586621679561309Sym0 :: TyFun k1 (TyFun k1 Ordering -> *) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679562484Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (CompareSym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569673Sym0 :: TyFun (NonEmpty a6989586621679060156) (TyFun (NonEmpty a6989586621679060156) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ComparingSym2 :: (TyFun b6989586621679561277 a6989586621679561276 -> Type) -> b6989586621679561277 -> TyFun b6989586621679561277 Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ComparingSym1 :: (TyFun b6989586621679561277 a6989586621679561276 -> Type) -> TyFun b6989586621679561277 (TyFun b6989586621679561277 Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569636Sym1 :: Either a6989586621679081557 b6989586621679081558 -> TyFun (Either a6989586621679081557 b6989586621679081558) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569731Sym1 :: (a3530822107858468865, b3530822107858468866) -> TyFun (a3530822107858468865, b3530822107858468866) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ComparingSym0 :: TyFun (TyFun b6989586621679561277 a6989586621679561276 -> Type) (TyFun b6989586621679561277 (TyFun b6989586621679561277 Ordering -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569636Sym0 :: TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun (Either a6989586621679081557 b6989586621679081558) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569731Sym0 :: TyFun (a3530822107858468865, b3530822107858468866) (TyFun (a3530822107858468865, b3530822107858468866) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569776Sym1 :: (a3530822107858468865, b3530822107858468866, c3530822107858468867) -> TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569776Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713112MinBySym0 :: TyFun (k3 ~> (k3 ~> Ordering)) (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k3 k3 -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713028MaxBySym0 :: TyFun (k3 ~> (k3 ~> Ordering)) (TyFun k1 (TyFun k2 (TyFun k3 (TyFun k3 k3 -> *) -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713112MinBySym4 :: (k3 ~> (k3 ~> Ordering)) -> k1 -> k2 -> k3 -> TyFun k3 k3 -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713112MinBySym3 :: (k3 ~> (k3 ~> Ordering)) -> k1 -> k2 -> TyFun k3 (TyFun k3 k3 -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713112MinBySym2 :: (k3 ~> (k3 ~> Ordering)) -> k1 -> TyFun k2 (TyFun k3 (TyFun k3 k3 -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713112MinBySym1 :: (k3 ~> (k3 ~> Ordering)) -> TyFun k1 (TyFun k2 (TyFun k3 (TyFun k3 k3 -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713028MaxBySym4 :: (k3 ~> (k3 ~> Ordering)) -> k1 -> k2 -> k3 -> TyFun k3 k3 -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713028MaxBySym3 :: (k3 ~> (k3 ~> Ordering)) -> k1 -> k2 -> TyFun k3 (TyFun k3 k3 -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713028MaxBySym2 :: (k3 ~> (k3 ~> Ordering)) -> k1 -> TyFun k2 (TyFun k3 (TyFun k3 k3 -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Let6989586621679713028MaxBySym1 :: (k3 ~> (k3 ~> Ordering)) -> TyFun k1 (TyFun k2 (TyFun k3 (TyFun k3 k3 -> *) -> *) -> *) -> *) | |
Defined in Data.Singletons.Prelude.List Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569830Sym1 :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868) -> TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569830Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569893Sym1 :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869) -> TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569893Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569965Sym1 :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870) -> TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569965Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679570046Sym1 :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871) -> TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679570046Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| type Rep Ordering | |
| type MaxBound | |
Defined in Data.Singletons.Prelude.Enum type MaxBound = MaxBound_6989586621680020861Sym0 | |
| type MinBound | |
Defined in Data.Singletons.Prelude.Enum type MinBound = MinBound_6989586621680020859Sym0 | |
| data Sing (z :: Ordering) | |
| type Demote Ordering | |
Defined in Data.Singletons.Prelude.Instances | |
| type FromEnum (a :: Ordering) | |
Defined in Data.Singletons.Prelude.Enum | |
| type ToEnum a | |
Defined in Data.Singletons.Prelude.Enum | |
| type Pred (arg :: Ordering) | |
| type Succ (arg :: Ordering) | |
| type Show_ (arg :: Ordering) | |
| type EnumFromTo (arg1 :: Ordering) (arg2 :: Ordering) | |
| type ShowList (arg1 :: [Ordering]) arg2 | |
| type Min (arg1 :: Ordering) (arg2 :: Ordering) | |
| type Max (arg1 :: Ordering) (arg2 :: Ordering) | |
| type (arg1 :: Ordering) >= (arg2 :: Ordering) | |
| type (arg1 :: Ordering) > (arg2 :: Ordering) | |
| type (arg1 :: Ordering) <= (arg2 :: Ordering) | |
| type (arg1 :: Ordering) < (arg2 :: Ordering) | |
| type Compare (a1 :: Ordering) (a2 :: Ordering) | |
| type (x :: Ordering) /= (y :: Ordering) | |
| type (a :: Ordering) == (b :: Ordering) | |
Defined in Data.Singletons.Prelude.Eq | |
| type EnumFromThenTo (arg1 :: Ordering) (arg2 :: Ordering) (arg3 :: Ordering) | |
| type ShowsPrec a1 (a2 :: Ordering) a3 | |
| type Apply FromEnum_6989586621680043959Sym0 (l :: Ordering) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply ToEnum_6989586621680043949Sym0 (l :: Nat) | |
Defined in Data.Singletons.Prelude.Enum | |
| type Apply (Compare_6989586621679570080Sym1 l1 :: TyFun Bool Ordering -> *) (l2 :: Bool) | |
| type Apply (ThenCmpSym1 l1 :: TyFun Ordering Ordering -> *) (l2 :: Ordering) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679570100Sym1 l1 :: TyFun Ordering Ordering -> *) (l2 :: Ordering) | |
| type Apply (Compare_6989586621679570120Sym1 l1 :: TyFun () Ordering -> *) (l2 :: ()) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679569697Sym1 l1 :: TyFun Void Ordering -> *) (l2 :: Void) | |
| type Apply (Compare_6989586621679562484Sym1 l1 :: TyFun a Ordering -> *) (l2 :: a) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (CompareSym1 l1 :: TyFun a Ordering -> *) (l2 :: a) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Let6989586621679562603Scrutinee_6989586621679561315Sym1 l1 :: TyFun k1 Ordering -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Let6989586621679562570Scrutinee_6989586621679561313Sym1 l1 :: TyFun k1 Ordering -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Let6989586621679562537Scrutinee_6989586621679561311Sym1 l1 :: TyFun k1 Ordering -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Let6989586621679562504Scrutinee_6989586621679561309Sym1 l1 :: TyFun k1 Ordering -> *) (l2 :: k1) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (ComparingSym2 l1 l2 :: TyFun b Ordering -> *) (l3 :: b) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply Compare_6989586621679570080Sym0 (l :: Bool) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply ThenCmpSym0 (l :: Ordering) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply Compare_6989586621679570100Sym0 (l :: Ordering) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply ShowsPrec_6989586621679909885Sym0 (l :: Nat) | |
Defined in Data.Singletons.Prelude.Show | |
| type Apply Compare_6989586621679570120Sym0 (l :: ()) | |
Defined in Data.Singletons.Prelude.Ord type Apply Compare_6989586621679570120Sym0 (l :: ()) = Compare_6989586621679570120Sym1 l | |
| type Apply Compare_6989586621679569697Sym0 (l :: Void) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (ShowsPrec_6989586621679909885Sym1 l1 :: TyFun Ordering (TyFun Symbol Symbol -> Type) -> *) (l2 :: Ordering) | |
| type Apply (Compare_6989586621679562484Sym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Ordering -> Type) -> *) (l :: a6989586621679561287) | |
| type Apply (CompareSym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Ordering -> Type) -> *) (l :: a6989586621679561287) | |
Defined in Data.Singletons.Prelude.Ord type Apply (CompareSym0 :: TyFun a6989586621679561287 (TyFun a6989586621679561287 Ordering -> Type) -> *) (l :: a6989586621679561287) = CompareSym1 l | |
| type Apply (Let6989586621679562603Scrutinee_6989586621679561315Sym0 :: TyFun k1 (TyFun k1 Ordering -> *) -> *) (l :: k1) | |
| type Apply (Let6989586621679562570Scrutinee_6989586621679561313Sym0 :: TyFun k1 (TyFun k1 Ordering -> *) -> *) (l :: k1) | |
| type Apply (Let6989586621679562537Scrutinee_6989586621679561311Sym0 :: TyFun k1 (TyFun k1 Ordering -> *) -> *) (l :: k1) | |
| type Apply (Let6989586621679562504Scrutinee_6989586621679561309Sym0 :: TyFun k1 (TyFun k1 Ordering -> *) -> *) (l :: k1) | |
| type Apply (ComparingSym1 l1 :: TyFun b6989586621679561277 (TyFun b6989586621679561277 Ordering -> Type) -> *) (l2 :: b6989586621679561277) | |
Defined in Data.Singletons.Prelude.Ord type Apply (ComparingSym1 l1 :: TyFun b6989586621679561277 (TyFun b6989586621679561277 Ordering -> Type) -> *) (l2 :: b6989586621679561277) = ComparingSym2 l1 l2 | |
| type Apply (Compare_6989586621679569596Sym1 l1 :: TyFun [a] Ordering -> *) (l2 :: [a]) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679569560Sym1 l1 :: TyFun (Maybe a) Ordering -> *) (l2 :: Maybe a) | |
| type Apply (Compare_6989586621679569673Sym1 l1 :: TyFun (NonEmpty a) Ordering -> *) (l2 :: NonEmpty a) | |
| type Apply (Compare_6989586621679569596Sym0 :: TyFun [a3530822107858468865] (TyFun [a3530822107858468865] Ordering -> Type) -> *) (l :: [a3530822107858468865]) | |
| type Apply (Compare_6989586621679569560Sym0 :: TyFun (Maybe a3530822107858468865) (TyFun (Maybe a3530822107858468865) Ordering -> Type) -> *) (l :: Maybe a3530822107858468865) | |
| type Apply (Compare_6989586621679569673Sym0 :: TyFun (NonEmpty a6989586621679060156) (TyFun (NonEmpty a6989586621679060156) Ordering -> Type) -> *) (l :: NonEmpty a6989586621679060156) | |
| type Apply (Compare_6989586621679569636Sym1 l1 :: TyFun (Either a b) Ordering -> *) (l2 :: Either a b) | |
| type Apply (Compare_6989586621679569731Sym1 l1 :: TyFun (a, b) Ordering -> *) (l2 :: (a, b)) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (InsertBySym0 :: TyFun (TyFun a6989586621679701626 (TyFun a6989586621679701626 Ordering -> Type) -> Type) (TyFun a6989586621679701626 (TyFun [a6989586621679701626] [a6989586621679701626] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701626 (TyFun a6989586621679701626 Ordering -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List type Apply (InsertBySym0 :: TyFun (TyFun a6989586621679701626 (TyFun a6989586621679701626 Ordering -> Type) -> Type) (TyFun a6989586621679701626 (TyFun [a6989586621679701626] [a6989586621679701626] -> Type) -> Type) -> *) (l :: TyFun a6989586621679701626 (TyFun a6989586621679701626 Ordering -> Type) -> Type) = InsertBySym1 l | |
| type Apply (SortBySym0 :: TyFun (TyFun a6989586621679701627 (TyFun a6989586621679701627 Ordering -> Type) -> Type) (TyFun [a6989586621679701627] [a6989586621679701627] -> Type) -> *) (l :: TyFun a6989586621679701627 (TyFun a6989586621679701627 Ordering -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (MaximumBySym0 :: TyFun (TyFun a6989586621679701625 (TyFun a6989586621679701625 Ordering -> Type) -> Type) (TyFun [a6989586621679701625] a6989586621679701625 -> Type) -> *) (l :: TyFun a6989586621679701625 (TyFun a6989586621679701625 Ordering -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (MinimumBySym0 :: TyFun (TyFun a6989586621679701624 (TyFun a6989586621679701624 Ordering -> Type) -> Type) (TyFun [a6989586621679701624] a6989586621679701624 -> Type) -> *) (l :: TyFun a6989586621679701624 (TyFun a6989586621679701624 Ordering -> Type) -> Type) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (ComparingSym0 :: TyFun (TyFun b6989586621679561277 a6989586621679561276 -> Type) (TyFun b6989586621679561277 (TyFun b6989586621679561277 Ordering -> Type) -> Type) -> *) (l :: TyFun b6989586621679561277 a6989586621679561276 -> Type) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679569636Sym0 :: TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun (Either a6989586621679081557 b6989586621679081558) Ordering -> Type) -> *) (l :: Either a6989586621679081557 b6989586621679081558) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679569731Sym0 :: TyFun (a3530822107858468865, b3530822107858468866) (TyFun (a3530822107858468865, b3530822107858468866) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866)) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Let6989586621679713028MaxBySym0 :: TyFun (k1 ~> (k1 ~> Ordering)) (TyFun k2 (TyFun k3 (TyFun k1 (TyFun k1 k1 -> *) -> *) -> *) -> *) -> *) (l :: k1 ~> (k1 ~> Ordering)) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Let6989586621679713112MinBySym0 :: TyFun (k1 ~> (k1 ~> Ordering)) (TyFun k2 (TyFun k3 (TyFun k1 (TyFun k1 k1 -> *) -> *) -> *) -> *) -> *) (l :: k1 ~> (k1 ~> Ordering)) | |
Defined in Data.Singletons.Prelude.List | |
| type Apply (Compare_6989586621679569776Sym1 l1 :: TyFun (a, b, c) Ordering -> *) (l2 :: (a, b, c)) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679569776Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867)) | |
Defined in Data.Singletons.Prelude.Ord type Apply (Compare_6989586621679569776Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867)) = Compare_6989586621679569776Sym1 l | |
| type Apply (Compare_6989586621679569830Sym1 l1 :: TyFun (a, b, c, d) Ordering -> *) (l2 :: (a, b, c, d)) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679569830Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868)) | |
Defined in Data.Singletons.Prelude.Ord type Apply (Compare_6989586621679569830Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868)) = Compare_6989586621679569830Sym1 l | |
| type Apply (Compare_6989586621679569893Sym1 l1 :: TyFun (a, b, c, d, e) Ordering -> *) (l2 :: (a, b, c, d, e)) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679569893Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869)) | |
Defined in Data.Singletons.Prelude.Ord type Apply (Compare_6989586621679569893Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869)) = Compare_6989586621679569893Sym1 l | |
| type Apply (Compare_6989586621679569965Sym1 l1 :: TyFun (a, b, c, d, e, f) Ordering -> *) (l2 :: (a, b, c, d, e, f)) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679569965Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870)) | |
Defined in Data.Singletons.Prelude.Ord type Apply (Compare_6989586621679569965Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870)) = Compare_6989586621679569965Sym1 l | |
| type Apply (Compare_6989586621679570046Sym1 l1 :: TyFun (a, b, c, d, e, f, g) Ordering -> *) (l2 :: (a, b, c, d, e, f, g)) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Compare_6989586621679570046Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871)) | |
Defined in Data.Singletons.Prelude.Ord type Apply (Compare_6989586621679570046Sym0 :: TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871) (TyFun (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871) Ordering -> Type) -> *) (l :: (a3530822107858468865, b3530822107858468866, c3530822107858468867, d3530822107858468868, e3530822107858468869, f3530822107858468870, g3530822107858468871)) = Compare_6989586621679570046Sym1 l | |
A value of type is a computation which, when performed,
does some I/O before returning a value of type IO aa.
There is really only one way to "perform" an I/O action: bind it to
Main.main in your program. When your program is run, the I/O will
be performed. It isn't possible to perform I/O from an arbitrary
function, unless that function is itself in the IO monad and called
at some point, directly or indirectly, from Main.main.
IO is a monad, so IO actions can be combined using either the do-notation
or the >> and >>= operations from the Monad class.
Instances
Instances
The Either type represents values with two possibilities: a value of
type is either Either a b or Left a.Right b
The Either type is sometimes used to represent a value which is
either correct or an error; by convention, the Left constructor is
used to hold an error value and the Right constructor is used to
hold a correct value (mnemonic: "right" also means "correct").
Examples
The type is the type of values which can be either
a Either String IntString or an Int. The Left constructor can be used only on
Strings, and the Right constructor can be used only on Ints:
>>>let s = Left "foo" :: Either String Int>>>sLeft "foo">>>let n = Right 3 :: Either String Int>>>nRight 3>>>:type ss :: Either String Int>>>:type nn :: Either String Int
The fmap from our Functor instance will ignore Left values, but
will apply the supplied function to values contained in a Right:
>>>let s = Left "foo" :: Either String Int>>>let n = Right 3 :: Either String Int>>>fmap (*2) sLeft "foo">>>fmap (*2) nRight 6
The Monad instance for Either allows us to chain together multiple
actions which may fail, and fail overall if any of the individual
steps failed. First we'll write a function that can either parse an
Int from a Char, or fail.
>>>import Data.Char ( digitToInt, isDigit )>>>:{let parseEither :: Char -> Either String Int parseEither c | isDigit c = Right (digitToInt c) | otherwise = Left "parse error">>>:}
The following should work, since both '1' and '2' can be
parsed as Ints.
>>>:{let parseMultiple :: Either String Int parseMultiple = do x <- parseEither '1' y <- parseEither '2' return (x + y)>>>:}
>>>parseMultipleRight 3
But the following should fail overall, since the first operation where
we attempt to parse 'm' as an Int will fail:
>>>:{let parseMultiple :: Either String Int parseMultiple = do x <- parseEither 'm' y <- parseEither '2' return (x + y)>>>:}
>>>parseMultipleLeft "parse error"
Instances
| Arbitrary2 Either | |
Defined in Test.QuickCheck.Arbitrary Methods liftArbitrary2 :: Gen a -> Gen b -> Gen (Either a b) # liftShrink2 :: (a -> [a]) -> (b -> [b]) -> Either a b -> [Either a b] # | |
| Bifoldable Either | Since: base-4.10.0.0 |
| Bifunctor Either | Since: base-4.8.0.0 |
| Eq2 Either | Since: base-4.9.0.0 |
| Ord2 Either | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read2 Either | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Either a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Either a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Either a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Either a b] # | |
| Show2 Either | Since: base-4.9.0.0 |
| NFData2 Either | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Bitraversable1 Either | |
Defined in Data.Semigroup.Traversable.Class Methods bitraverse1 :: Apply f => (a -> f b) -> (c -> f d) -> Either a c -> f (Either b d) # bisequence1 :: Apply f => Either (f a) (f b) -> f (Either a b) # | |
| Swapped Either | |
Defined in Control.Lens.Iso | |
| () :=> (Monad (Either a)) | |
| () :=> (Functor (Either a)) | |
| () :=> (Applicative (Either a)) | |
Defined in Data.Constraint Methods ins :: () :- Applicative (Either a) # | |
| Monad (Either e) | Since: base-4.4.0.0 |
| Functor (Either a) | Since: base-3.0 |
| Applicative (Either e) | Since: base-3.0 |
| 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 # | |
| Traversable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Traversable | |
| Arbitrary a => Arbitrary1 (Either a) | |
Defined in Test.QuickCheck.Arbitrary Methods liftArbitrary :: Gen a0 -> Gen (Either a a0) # liftShrink :: (a0 -> [a0]) -> Either a a0 -> [Either a a0] # | |
| Eq a => Eq1 (Either a) | Since: base-4.9.0.0 |
| Ord a => Ord1 (Either a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read a => Read1 (Either a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Either a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Either a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Either a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Either a a0] # | |
| Show a => Show1 (Either a) | Since: base-4.9.0.0 |
| NFData a => NFData1 (Either a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Generic1 (Either a :: * -> *) | |
| (Eq a, Eq b) => Eq (Either a b) | |
| (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) # | |
| (Ord a, Ord b) => Ord (Either a b) | |
| (Read a, Read b) => Read (Either a b) | |
| (Show a, Show b) => Show (Either a b) | |
| Generic (Either a b) | |
| Semigroup (Either a b) | Since: base-4.9.0.0 |
| (Lift a, Lift b) => Lift (Either a b) | |
| (Arbitrary a, Arbitrary b) => Arbitrary (Either a b) | |
| (CoArbitrary a, CoArbitrary b) => CoArbitrary (Either a b) | |
Defined in Test.QuickCheck.Arbitrary Methods coarbitrary :: Either a b -> Gen b0 -> Gen b0 # | |
| (NFData a, NFData b) => NFData (Either a b) | |
Defined in Control.DeepSeq | |
| PShow (Either a b) | |
| (SShow a, SShow b) => SShow (Either a b) | |
| (ShowSing a, ShowSing b) => ShowSing (Either a b) | |
Defined in Data.Singletons.ShowSing Methods showsSingPrec :: Int -> Sing a0 -> ShowS # | |
| POrd (Either a b) | |
| (SOrd a, SOrd b) => SOrd (Either a b) | |
Defined in Data.Singletons.Prelude.Ord Methods sCompare :: Sing t1 -> Sing t2 -> Sing (Apply (Apply CompareSym0 t1) t2) # (%<) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (<@#@$) t1) t2) # (%<=) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (<=@#@$) t1) t2) # (%>) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (>@#@$) t1) t2) # (%>=) :: Sing t1 -> Sing t2 -> Sing (Apply (Apply (>=@#@$) t1) t2) # sMax :: Sing t1 -> Sing t2 -> Sing (Apply (Apply MaxSym0 t1) t2) # sMin :: Sing t1 -> Sing t2 -> Sing (Apply (Apply MinSym0 t1) t2) # | |
| (SEq a, SEq b) => SEq (Either a b) | |
| PEq (Either a b) | |
| (ShowX a, ShowX b) => ShowX (Either a b) # | |
| Bundle (Either a b) # | |
| (Eq a, Eq b) :=> (Eq (Either a b)) | |
| (Ord a, Ord b) :=> (Ord (Either a b)) | |
| (Read a, Read b) :=> (Read (Either a b)) | |
| (Show a, Show b) :=> (Show (Either a b)) | |
| SuppressUnusedWarnings (Compare_6989586621679569636Sym1 :: Either a6989586621679081557 b6989586621679081558 -> TyFun (Either a6989586621679081557 b6989586621679081558) Ordering -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ShowsPrec_6989586621679909746Sym2 :: Nat -> Either a6989586621679081557 b6989586621679081558 -> TyFun Symbol Symbol -> *) | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ShowsPrec_6989586621679909746Sym1 :: Nat -> TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun Symbol Symbol -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (RightsSym0 :: TyFun [Either a6989586621680084724 b6989586621680084725] [b6989586621680084725] -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (PartitionEithersSym0 :: TyFun [Either a6989586621680084722 b6989586621680084723] ([a6989586621680084722], [b6989586621680084723]) -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a6989586621680084726 b6989586621680084727] [a6989586621680084726] -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Compare_6989586621679569636Sym0 :: TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun (Either a6989586621679081557 b6989586621679081558) Ordering -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Ord Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a6989586621680084718 b6989586621680084719) Bool -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a6989586621680084720 b6989586621680084721) Bool -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (ShowsPrec_6989586621679909746Sym0 :: TyFun Nat (TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun Symbol Symbol -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Show Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (RightSym0 :: TyFun b6989586621679081558 (Either a6989586621679081557 b6989586621679081558) -> *) | |
Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (LeftSym0 :: TyFun a6989586621679081557 (Either a6989586621679081557 b6989586621679081558) -> *) | |
Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () # | |
| (FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (Sum f g) | |
| (FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (Product f g) | |
| (FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :+: g) | |
| (FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :*: g) | |
| (FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (Sum f g) | |
Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> Sum f g a -> m # ifolded :: (Indexable (Either i j) p, Contravariant f0, Applicative f0) => p a (f0 a) -> Sum f g a -> f0 (Sum f g a) # ifoldr :: (Either i j -> a -> b -> b) -> b -> Sum f g a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> Sum f g a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> Sum f g a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> Sum f g a -> b # | |
| (FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (Product f g) | |
Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> Product f g a -> m # ifolded :: (Indexable (Either i j) p, Contravariant f0, Applicative f0) => p a (f0 a) -> Product f g a -> f0 (Product f g a) # ifoldr :: (Either i j -> a -> b -> b) -> b -> Product f g a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> Product f g a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> Product f g a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> Product f g a -> b # | |
| (FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :+: g) | |
Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :+: g) a -> m # ifolded :: (Indexable (Either i j) p, Contravariant f0, Applicative f0) => p a (f0 a) -> (f :+: g) a -> f0 ((f :+: g) a) # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b # | |
| (FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :*: g) | |
Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :*: g) a -> m # ifolded :: (Indexable (Either i j) p, Contravariant f0, Applicative f0) => p a (f0 a) -> (f :*: g) a -> f0 ((f :*: g) a) # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :*: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :*: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :*: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :*: g) a -> b # | |
| (TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (Sum f g) | |
Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> Sum f g a -> f0 (Sum f g b) # itraversed :: (Indexable (Either i j) p, Applicative f0) => p a (f0 b) -> Sum f g a -> f0 (Sum f g b) # | |
| (TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (Product f g) | |
Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> Product f g a -> f0 (Product f g b) # itraversed :: (Indexable (Either i j) p, Applicative f0) => p a (f0 b) -> Product f g a -> f0 (Product f g b) # | |
| (TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :+: g) | |
Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) # itraversed :: (Indexable (Either i j) p, Applicative f0) => p a (f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) # | |
| (TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :*: g) | |
Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) # itraversed :: (Indexable (Either i j) p, Applicative f0) => p a (f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) # | |
| SuppressUnusedWarnings (Either_Sym2 :: (TyFun a6989586621680083590 c6989586621680083591 -> Type) -> (TyFun b6989586621680083592 c6989586621680083591 -> Type) -> TyFun (Either a6989586621680083590 b6989586621680083592) c6989586621680083591 -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Either_Sym1 :: (TyFun a6989586621680083590 c6989586621680083591 -> Type) -> TyFun (TyFun b6989586621680083592 c6989586621680083591 -> Type) (TyFun (Either a6989586621680083590 b6989586621680083592) c6989586621680083591 -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| SuppressUnusedWarnings (Either_Sym0 :: TyFun (TyFun a6989586621680083590 c6989586621680083591 -> Type) (TyFun (TyFun b6989586621680083592 c6989586621680083591 -> Type) (TyFun (Either a6989586621680083590 b6989586621680083592) c6989586621680083591 -> Type) -> Type) -> *) | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () # | |
| type Unbundled domain (Either a b) # | |
Defined in Clash.Signal.Bundle | |
| type Apply (ShowsPrec_6989586621679909746Sym0 :: TyFun Nat (TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun Symbol Symbol -> Type) -> Type) -> *) (l :: Nat) | |
Defined in Data.Singletons.Prelude.Show type Apply (ShowsPrec_6989586621679909746Sym0 :: TyFun Nat (TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun Symbol Symbol -> Type) -> Type) -> *) (l :: Nat) = (ShowsPrec_6989586621679909746Sym1 l :: TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun Symbol Symbol -> Type) -> *) | |
| type Apply (LeftSym0 :: TyFun a (Either a b6989586621679081558) -> *) (l :: a) | |
| type Apply (RightSym0 :: TyFun b (Either a6989586621679081557 b) -> *) (l :: b) | |
| type Rep1 (Either a :: * -> *) | |
Defined in GHC.Generics type Rep1 (Either a :: * -> *) = D1 (MetaData "Either" "Data.Either" "base" False) (C1 (MetaCons "Left" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)) :+: C1 (MetaCons "Right" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1)) | |
| type Apply (RightsSym0 :: TyFun [Either a b] [b] -> *) (l :: [Either a b]) | |
Defined in Data.Singletons.Prelude.Either | |
| type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> *) (l :: [Either a b]) | |
| type Apply (PartitionEithersSym0 :: TyFun [Either a b] ([a], [b]) -> *) (l :: [Either a b]) | |
Defined in Data.Singletons.Prelude.Either | |
| type Rep (Either a b) | |
Defined in GHC.Generics type Rep (Either a b) = D1 (MetaData "Either" "Data.Either" "base" False) (C1 (MetaCons "Left" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)) :+: C1 (MetaCons "Right" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 b))) | |
| data Sing (z :: Either a b) | |
| type Demote (Either a b) | |
| type Show_ (arg :: Either a b) | |
| type ShowList (arg1 :: [Either a b]) arg2 | |
| type Min (arg1 :: Either a b) (arg2 :: Either a b) | |
| type Max (arg1 :: Either a b) (arg2 :: Either a b) | |
| type (arg1 :: Either a b) >= (arg2 :: Either a b) | |
| type (arg1 :: Either a b) > (arg2 :: Either a b) | |
| type (arg1 :: Either a b) <= (arg2 :: Either a b) | |
| type (arg1 :: Either a b) < (arg2 :: Either a b) | |
| type Compare (a2 :: Either a1 b) (a3 :: Either a1 b) | |
| type (x :: Either a b) /= (y :: Either a b) | |
| type (a2 :: Either a1 b1) == (b2 :: Either a1 b1) | |
Defined in Data.Singletons.Prelude.Eq | |
| type ShowsPrec a2 (a3 :: Either a1 b) a4 | |
| type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) | |
Defined in Data.Singletons.Prelude.Either | |
| type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) | |
Defined in Data.Singletons.Prelude.Either | |
| type Apply (Compare_6989586621679569636Sym1 l1 :: TyFun (Either a b) Ordering -> *) (l2 :: Either a b) | |
| type Apply (Either_Sym2 l1 l2 :: TyFun (Either a b) c -> *) (l3 :: Either a b) | |
Defined in Data.Singletons.Prelude.Either | |
| type Apply (Compare_6989586621679569636Sym0 :: TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun (Either a6989586621679081557 b6989586621679081558) Ordering -> Type) -> *) (l :: Either a6989586621679081557 b6989586621679081558) | |
Defined in Data.Singletons.Prelude.Ord | |
| type Apply (Either_Sym0 :: TyFun (TyFun a6989586621680083590 c6989586621680083591 -> Type) (TyFun (TyFun b6989586621680083592 c6989586621680083591 -> Type) (TyFun (Either a6989586621680083590 b6989586621680083592) c6989586621680083591 -> Type) -> Type) -> *) (l :: TyFun a6989586621680083590 c6989586621680083591 -> Type) | |
Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym0 :: TyFun (TyFun a6989586621680083590 c6989586621680083591 -> Type) (TyFun (TyFun b6989586621680083592 c6989586621680083591 -> Type) (TyFun (Either a6989586621680083590 b6989586621680083592) c6989586621680083591 -> Type) -> Type) -> *) (l :: TyFun a6989586621680083590 c6989586621680083591 -> Type) = (Either_Sym1 l :: TyFun (TyFun b6989586621680083592 c6989586621680083591 -> Type) (TyFun (Either a6989586621680083590 b6989586621680083592) c6989586621680083591 -> Type) -> *) | |
| type Apply (ShowsPrec_6989586621679909746Sym1 l1 :: TyFun (Either a6989586621679081557 b6989586621679081558) (TyFun Symbol Symbol -> Type) -> *) (l2 :: Either a6989586621679081557 b6989586621679081558) | |
| type Apply (Either_Sym1 l1 :: TyFun (TyFun b6989586621680083592 c6989586621680083591 -> Type) (TyFun (Either a6989586621680083590 b6989586621680083592) c6989586621680083591 -> Type) -> *) (l2 :: TyFun b6989586621680083592 c6989586621680083591 -> Type) | |
Defined in Data.Singletons.Prelude.Either | |
either :: (a -> c) -> (b -> c) -> Either a b -> c #
Case analysis for the Either type.
If the value is , apply the first function to Left aa;
if it is , apply the second function to Right bb.
Examples
We create two values of type , one using the
Either String IntLeft 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) s3>>>either length (*2) n6
appendFile :: FilePath -> String -> IO () #
The computation appendFile file str function appends the string str,
to the file file.
Note that writeFile and appendFile write a literal string
to a file. To write a value of any printable type, as with print,
use the show function to convert the value to a string first.
main = appendFile "squares" (show [(x,x*x) | x <- [0,0.1..2]])
writeFile :: FilePath -> String -> IO () #
The computation writeFile file str function writes the string str,
to the file file.
readFile :: FilePath -> IO String #
The readFile function reads a file and
returns the contents of the file as a string.
The file is read lazily, on demand, as with getContents.
interact :: (String -> String) -> IO () #
The interact function takes a function of type String->String
as its argument. The entire input from the standard input device is
passed to this function as its argument, and the resulting string is
output on the standard output device.
getContents :: IO String #
The getContents operation returns all user input as a single string,
which is read lazily as it is needed
(same as hGetContents stdin).
File and directory names are values of type String, whose precise
meaning is operating system dependent. Files can be opened, yielding a
handle which can then be used to operate on the contents of that file.
type IOError = IOException #
all :: Foldable t => (a -> Bool) -> t a -> Bool #
Determines whether all elements of the structure satisfy the predicate.
any :: Foldable t => (a -> Bool) -> t a -> Bool #
Determines whether any element of the structure satisfies the predicate.
concatMap :: Foldable t => (a -> [b]) -> t a -> [b] #
Map a function over all the elements of a container and concatenate the resulting lists.
sequence_ :: (Foldable t, Monad m) => t (m a) -> m () #
Evaluate each monadic action in the structure from left to right,
and ignore the results. For a version that doesn't ignore the
results see sequence.
As of base 4.8.0.0, sequence_ is just sequenceA_, specialized
to Monad.
words breaks a string up into a list of words, which were delimited
by white space.
>>>words "Lorem ipsum\ndolor"["Lorem","ipsum","dolor"]
lines breaks a string up into a list of strings at newline
characters. The resulting strings do not contain newlines.
Note that after splitting the string at newline characters, the last part of the string is considered a line even if it doesn't end with a newline. For example,
>>>lines ""[]
>>>lines "\n"[""]
>>>lines "one"["one"]
>>>lines "one\n"["one"]
>>>lines "one\n\n"["one",""]
>>>lines "one\ntwo"["one","two"]
>>>lines "one\ntwo\n"["one","two"]
Thus contains at least as many elements as newlines in lines ss.
read :: Read a => String -> a #
The read function reads input from a string, which must be
completely consumed by the input process. read fails with an error if the
parse is unsuccessful, and it is therefore discouraged from being used in
real applications. Use readMaybe or readEither for safe alternatives.
>>>read "123" :: Int123
>>>read "hello" :: Int*** Exception: Prelude.read: no parse
The lex function reads a single lexeme from the input, discarding
initial white space, and returning the characters that constitute the
lexeme. If the input string contains only white space, lex returns a
single successful `lexeme' consisting of the empty string. (Thus
.) If there is no legal lexeme at the
beginning of the input string, lex "" = [("","")]lex fails (i.e. returns []).
This lexer is not completely faithful to the Haskell lexical syntax in the following respects:
- Qualified names are not handled properly
- Octal and hexadecimal numerics are not recognized as a single token
- Comments are not treated properly
(<$>) :: Functor f => (a -> b) -> f a -> f b infixl 4 #
An infix synonym for fmap.
The name of this operator is an allusion to $.
Note the similarities between their types:
($) :: (a -> b) -> a -> b (<$>) :: Functor f => (a -> b) -> f a -> f b
Whereas $ is function application, <$> is function
application lifted over a Functor.
Examples
Convert from a to a Maybe Int using Maybe Stringshow:
>>>show <$> NothingNothing>>>show <$> Just 3Just "3"
Convert from an to an Either Int IntEither IntString using show:
>>>show <$> Left 17Left 17>>>show <$> Right 17Right "17"
Double each element of a list:
>>>(*2) <$> [1,2,3][2,4,6]
Apply even to the second element of a pair:
>>>even <$> (2,2)(2,True)
lcm :: Integral a => a -> a -> a #
is the smallest positive integer that both lcm x yx and y divide.
gcd :: Integral a => a -> a -> a #
is the non-negative factor of both gcd x yx and y of which
every common factor of x and y is also a factor; for example
, gcd 4 2 = 2, gcd (-4) 6 = 2 = gcd 0 44. = gcd 0 00.
(That is, the common divisor that is "greatest" in the divisibility
preordering.)
Note: Since for signed fixed-width integer types, ,
the result may be negative if one of the arguments is abs minBound < 0 (and
necessarily is if the other is minBound0 or ) for such types.minBound
(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 #
raise a number to an integral power
showString :: String -> ShowS #
utility function converting a String to a show function that
simply prepends the string unchanged.
utility function converting a Char to a show function that
simply prepends the character unchanged.
lookup :: Eq a => a -> [(a, b)] -> Maybe b #
lookup key assocs looks up a key in an association list.
break :: (a -> Bool) -> [a] -> ([a], [a]) #
break, applied to a predicate p and a list xs, returns a tuple where
first element is longest prefix (possibly empty) of xs of elements that
do not satisfy p and second element is the remainder of the list:
break (> 3) [1,2,3,4,1,2,3,4] == ([1,2,3],[4,1,2,3,4]) break (< 9) [1,2,3] == ([],[1,2,3]) break (> 9) [1,2,3] == ([1,2,3],[])
span :: (a -> Bool) -> [a] -> ([a], [a]) #
span, applied to a predicate p and a list xs, returns a tuple where
first element is longest prefix (possibly empty) of xs of elements that
satisfy p and second element is the remainder of the list:
span (< 3) [1,2,3,4,1,2,3,4] == ([1,2],[3,4,1,2,3,4]) span (< 9) [1,2,3] == ([1,2,3],[]) span (< 0) [1,2,3] == ([],[1,2,3])
takeWhile :: (a -> Bool) -> [a] -> [a] #
takeWhile, applied to a predicate p and a list xs, returns the
longest prefix (possibly empty) of xs of elements that satisfy p:
takeWhile (< 3) [1,2,3,4,1,2,3,4] == [1,2] takeWhile (< 9) [1,2,3] == [1,2,3] takeWhile (< 0) [1,2,3] == []
cycle ties a finite list into a circular one, or equivalently,
the infinite repetition of the original list. It is the identity
on infinite lists.
maybe :: b -> (a -> b) -> Maybe a -> b #
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
Basic usage:
>>>maybe False odd (Just 3)True
>>>maybe False odd NothingFalse
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 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""
uncurry :: (a -> b -> c) -> (a, b) -> c #
uncurry converts a curried function to a function on pairs.
Examples
>>>uncurry (+) (1,2)3
>>>uncurry ($) (show, 1)"1"
>>>map (uncurry max) [(1,2), (3,4), (6,8)][2,4,8]
until :: (a -> Bool) -> (a -> a) -> a -> a #
yields the result of applying until p ff until p holds.
($!) :: (a -> b) -> a -> b infixr 0 #
Strict (call-by-value) application operator. It takes a function and an argument, evaluates the argument to weak head normal form (WHNF), then calls the function with that value.
flip :: (a -> b -> c) -> b -> a -> c #
takes its (first) two arguments in the reverse order of flip ff.
>>>flip (++) "hello" "world""worldhello"
const x is a unary function which evaluates to x for all inputs.
>>>const 42 "hello"42
>>>map (const 42) [0..3][42,42,42,42]
(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 #
Same as >>=, but with the arguments interchanged.
errorWithoutStackTrace :: [Char] -> a #
A variant of error that does not produce a stack trace.
Since: base-4.9.0.0
error :: HasCallStack => [Char] -> a #
error stops execution and displays an error message.