clash-prelude-0.99.2: CAES Language for Synchronous Hardware - Prelude library

Copyright(C) 2013-2016 University of Twente
2017 Myrtle Software Ltd Google Inc.
LicenseBSD2 (see the file LICENSE)
MaintainerChristiaan Baaij <christiaan.baaij@gmail.com>
Safe HaskellSafe
LanguageHaskell2010
Extensions
  • DataKinds
  • FlexibleContexts
  • TypeOperators
  • ExplicitNamespaces

Clash.Prelude.Safe

Contents

Description

This is the Safe API only of Clash.Prelude

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:

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

Creating synchronous sequential circuits

mealy Source #

Arguments

:: HiddenClockReset domain gated synchronous 
=> (s -> i -> (s, o))

Transfer function in mealy machine form: state -> input -> (newstate,output)

-> 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
  => (Signal domain Int, Signal domain Int)
  -> (Signal domain Int, Signal domain Int)
  -> Signal domain Int
dualMac (a,b) (x,y) = s1 + s2
  where
    s1 = mealy mac 0 (bundle (a,x))
    s2 = mealy mac 0 (bundle (b,y))

mealyB Source #

Arguments

:: (Bundle i, Bundle o, HiddenClockReset domain gated synchronous) 
=> (s -> i -> (s, o))

Transfer function in mealy machine form: state -> input -> (newstate,output)

-> 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)

(<^>) Source #

Arguments

:: (Bundle i, Bundle o, HiddenClockReset domain gated synchronous) 
=> (s -> i -> (s, o))

Transfer function in mealy machine form: state -> input -> (newstate,output)

-> 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

moore Source #

Arguments

:: HiddenClockReset domain gated synchronous 
=> (s -> i -> s)

Transfer function in moore machine form: state -> input -> newstate

-> (s -> o)

Output function in moore machine form: state -> output

-> 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
  => (Signal domain Int, Signal domain Int)
  -> (Signal domain Int, Signal domain Int)
  -> Signal domain Int
dualMac (a,b) (x,y) = s1 + s2
  where
    s1 = moore mac id 0 (bundle (a,x))
    s2 = moore mac id 0 (bundle (b,y))

mooreB Source #

Arguments

:: (Bundle i, Bundle o, HiddenClockReset domain gated synchronous) 
=> (s -> i -> s)

Transfer function in moore machine form: state -> input -> newstate

-> (s -> o)

Output function in moore machine form: state -> output

-> 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 Source #

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

asyncRom Source #

Arguments

:: (KnownNat n, Enum addr) 
=> Vec n a

ROM content

NB: must be a constant

-> addr

Read address rd

-> a

The value of the ROM at address rd

An asynchronous/combinational ROM with space for n elements

Additional helpful information:

asyncRomPow2 Source #

Arguments

:: KnownNat n 
=> Vec (2 ^ n) a

ROM content

NB: must be a constant

-> Unsigned n

Read address rd

-> a

The value of the ROM at address rd

An asynchronous/combinational ROM with space for 2^n elements

Additional helpful information:

rom Source #

Arguments

:: (KnownNat n, KnownNat m, HiddenClock domain gated) 
=> Vec n a

ROM content

NB: must be a constant

-> Signal domain (Unsigned m)

Read address rd

-> Signal domain a

The value of the ROM at address rd

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:

romPow2 Source #

Arguments

:: (KnownNat n, HiddenClock domain gated) 
=> Vec (2 ^ n) a

ROM content

NB: must be a constant

-> Signal domain (Unsigned n)

Read address rd

-> Signal domain a

The value of the ROM at address rd

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:

RAM primitives with a combinational read port

asyncRam Source #

Arguments

:: (Enum addr, HiddenClock domain gated, HasCallStack) 
=> SNat n

Size n of the RAM

-> Signal domain addr

Read address r

-> Signal domain (Maybe (addr, a))

(write address w, value to write)

-> Signal domain a

Value of the RAM at address r

Create a RAM with space for n elements.

Additional helpful information:

asyncRamPow2 Source #

Arguments

:: (KnownNat n, HiddenClock domain gated, HasCallStack) 
=> Signal domain (Unsigned n)

Read address r

-> Signal domain (Maybe (Unsigned n, a))

(write address w, value to write)

-> Signal domain a

Value of the RAM at address r

Create a RAM with space for 2^n elements

Additional helpful information:

BlockRAM primitives

blockRam Source #

Arguments

:: (Enum addr, HiddenClock domain gated, HasCallStack) 
=> Vec n a

Initial content of the BRAM, also determines the size, n, of the BRAM.

NB: MUST be a constant.

-> Signal domain addr

Read address r

-> Signal domain (Maybe (addr, a))

(write address w, value to write)

-> Signal domain a

Value of the blockRAM at address r from the previous clock cycle

Create a blockRAM with space for n elements.

  • NB: Read value is delayed by 1 cycle
  • NB: Initial output value is undefined
bram40
  :: HiddenClock domain
  => Signal domain (Unsigned 6)
  -> Signal domain (Maybe (Unsigned 6, Bit))
  -> Signal domain Bit
bram40 = blockRam (replicate d40 1)

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 (blockRam inits) rd wrM.

blockRamPow2 Source #

Arguments

:: (KnownNat n, HiddenClock domain gated, HasCallStack) 
=> Vec (2 ^ n) a

Initial content of the BRAM, also determines the size, 2^n, of the BRAM.

NB: MUST be a constant.

-> Signal domain (Unsigned n)

Read address r

-> Signal domain (Maybe (Unsigned n, a))

(write address w, value to write)

-> Signal domain a

Value of the blockRAM at address r from the previous clock cycle

Create a blockRAM with space for 2^n elements

  • NB: Read value is delayed by 1 cycle
  • NB: Initial output value is undefined
bram32
  :: HiddenClock domain
  => Signal domain (Unsigned 5)
  -> Signal domain (Maybe (Unsigned 5, Bit))
  -> Signal domain Bit
bram32 = blockRamPow2 (replicate d32 1)

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 (blockRamPow2 inits) rd wrM.

BlockRAM read/write conflict resolution

readNew Source #

Arguments

:: (Eq addr, HiddenClockReset domain gated synchronous) 
=> (Signal domain addr -> Signal domain (Maybe (addr, a)) -> Signal domain a)

The ram component

-> Signal domain addr

Read address r

-> Signal domain (Maybe (addr, a))

(Write address w, value to write)

-> Signal domain a

Value of the ram at address r from the previous clock cycle

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

isRising Source #

Arguments

:: (HiddenClockReset domain gated synchronous, Bounded a, Eq a) 
=> a

Starting value

-> Signal domain a 
-> Signal domain Bool 

Give a pulse when the Signal goes from minBound to maxBound

isFalling Source #

Arguments

:: (HiddenClockReset domain gated synchronous, Bounded a, Eq a) 
=> a

Starting value

-> Signal domain a 
-> Signal domain Bool 

Give a pulse when the Signal goes from maxBound to minBound

riseEvery :: HiddenClockReset domain gated synchronous => SNat n -> Signal domain Bool Source #

Give a pulse every n clock cycles. This is a useful helper function when combined with functions like regEn or mux, in order to delay a register by a known amount.

To be precise: the given signal will be False for the next n-1 cycles, followed by a single True value:

>>> Prelude.last (sampleN 1024 (riseEvery d1024)) == True
True
>>> Prelude.or (sampleN 1023 (riseEvery d1024)) == False
True

For example, to update a counter once every 10 million cycles:

counter = regEn 0 (riseEvery (SNat :: SNat 10000000)) (counter + 1)

oscillate :: HiddenClockReset domain gated synchronous => Bool -> SNat n -> Signal domain Bool Source #

Oscillate a Bool for a given number of cycles. This is a convenient function when combined with something like regEn, as it allows you to easily hold a register value for a given number of cycles. The input Bool determines what the initial value is.

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 True and 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

DataFlow interface

Datatypes

Bit vectors

Arbitrary-width numbers

Fixed point numbers

Fixed size vectors

Perfect depth trees

Annotations

Type-level natural numbers

Type-level strings

Type classes

Clash

Other

module Data.Bits

Exceptions

Named types

Hidden arguments

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.

seq :: a -> b -> b #

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]])

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

Extract the first component of a pair.

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

Extract the second component of a pair.

otherwise :: Bool #

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

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

($) :: (a -> b) -> a -> b infixr 0 #

Application operator. This operator is redundant, since ordinary application (f x) means the same as (f $ x). However, $ 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 map ($ 0) xs, or 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

class Bounded a where #

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.

Minimal complete definition

minBound, maxBound

Methods

minBound :: a #

maxBound :: a #

Instances
Bounded Bool

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Char

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Int

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: Int #

maxBound :: Int #

Bounded Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Ordering

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Word

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded VecCount

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Bounded VecElem

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Bounded ()

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: () #

maxBound :: () #

Bounded All 
Instance details

Defined in Data.Semigroup.Internal

Methods

minBound :: All #

maxBound :: All #

Bounded Any 
Instance details

Defined in Data.Semigroup.Internal

Methods

minBound :: Any #

maxBound :: Any #

Bounded Associativity 
Instance details

Defined in GHC.Generics

Bounded SourceUnpackedness 
Instance details

Defined in GHC.Generics

Bounded SourceStrictness 
Instance details

Defined in GHC.Generics

Bounded DecidedStrictness 
Instance details

Defined in GHC.Generics

Bounded CChar 
Instance details

Defined in Foreign.C.Types

Bounded CSChar 
Instance details

Defined in Foreign.C.Types

Bounded CUChar 
Instance details

Defined in Foreign.C.Types

Bounded CShort 
Instance details

Defined in Foreign.C.Types

Bounded CUShort 
Instance details

Defined in Foreign.C.Types

Bounded CInt 
Instance details

Defined in Foreign.C.Types

Bounded CUInt 
Instance details

Defined in Foreign.C.Types

Bounded CLong 
Instance details

Defined in Foreign.C.Types

Bounded CULong 
Instance details

Defined in Foreign.C.Types

Bounded CLLong 
Instance details

Defined in Foreign.C.Types

Bounded CULLong 
Instance details

Defined in Foreign.C.Types

Bounded CBool 
Instance details

Defined in Foreign.C.Types

Bounded CPtrdiff 
Instance details

Defined in Foreign.C.Types

Bounded CSize 
Instance details

Defined in Foreign.C.Types

Bounded CWchar 
Instance details

Defined in Foreign.C.Types

Bounded CSigAtomic 
Instance details

Defined in Foreign.C.Types

Bounded CIntPtr 
Instance details

Defined in Foreign.C.Types

Bounded CUIntPtr 
Instance details

Defined in Foreign.C.Types

Bounded CIntMax 
Instance details

Defined in Foreign.C.Types

Bounded CUIntMax 
Instance details

Defined in Foreign.C.Types

Bounded GeneralCategory 
Instance details

Defined in GHC.Unicode

Bounded Bit # 
Instance details

Defined in Clash.Sized.Internal.BitVector

Methods

minBound :: Bit #

maxBound :: Bit #

a :=> (Bounded (Dict a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: a :- Bounded (Dict a)

() :=> (Bounded Bool) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Bounded Bool

() :=> (Bounded Char) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Bounded Char

() :=> (Bounded Int) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Bounded Int

() :=> (Bounded Ordering) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Bounded Ordering

() :=> (Bounded Word) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Bounded Word

() :=> (Bounded ()) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Bounded ()

Class () (Bounded a) 
Instance details

Defined in Data.Constraint

Methods

cls :: Bounded a :- ()

Bounded a => Bounded (Min a) 
Instance details

Defined in Data.Semigroup

Methods

minBound :: Min a #

maxBound :: Min a #

Bounded a => Bounded (Max a) 
Instance details

Defined in Data.Semigroup

Methods

minBound :: Max a #

maxBound :: Max a #

Bounded a => Bounded (First a) 
Instance details

Defined in Data.Semigroup

Methods

minBound :: First a #

maxBound :: First a #

Bounded a => Bounded (Last a) 
Instance details

Defined in Data.Semigroup

Methods

minBound :: Last a #

maxBound :: Last a #

Bounded m => Bounded (WrappedMonoid m) 
Instance details

Defined in Data.Semigroup

Bounded a => Bounded (Identity a) 
Instance details

Defined in Data.Functor.Identity

Bounded a => Bounded (Dual a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

minBound :: Dual a #

maxBound :: Dual a #

Bounded a => Bounded (Sum a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

minBound :: Sum a #

maxBound :: Sum a #

Bounded a => Bounded (Product a) 
Instance details

Defined in Data.Semigroup.Internal

KnownNat n => Bounded (BitVector n) # 
Instance details

Defined in Clash.Sized.Internal.BitVector

KnownNat n => Bounded (Index n) # 
Instance details

Defined in Clash.Sized.Internal.Index

Methods

minBound :: Index n #

maxBound :: Index n #

(Ord a, Num a) => Bounded (Bounds a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

minBound :: Bounds a #

maxBound :: Bounds a #

KnownNat n => Bounded (Unsigned n) # 
Instance details

Defined in Clash.Sized.Internal.Unsigned

KnownNat n => Bounded (Signed n) # 
Instance details

Defined in Clash.Sized.Internal.Signed

Methods

minBound :: Signed n #

maxBound :: Signed n #

a => Bounded (Dict a) 
Instance details

Defined in Data.Constraint

Methods

minBound :: Dict a #

maxBound :: Dict a #

(Bounded a) :=> (Bounded (Identity a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Bounded a :- Bounded (Identity a)

(Bounded a) :=> (Bounded (Const a b)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Bounded a :- Bounded (Const a b)

(Bounded a, Bounded b) => Bounded (a, b)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b) #

maxBound :: (a, b) #

Bounded (Proxy t) 
Instance details

Defined in Data.Proxy

Methods

minBound :: Proxy t #

maxBound :: Proxy t #

(Bounded a, Bounded b) :=> (Bounded (a, b)) 
Instance details

Defined in Data.Constraint

Methods

ins :: (Bounded a, Bounded b) :- Bounded (a, b)

(Bounded a, Bounded b, Bounded c) => Bounded (a, b, c)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c) #

maxBound :: (a, b, c) #

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

Defined in Data.Functor.Const

Methods

minBound :: Const a b #

maxBound :: Const a b #

a ~ b => Bounded (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

minBound :: a :~: b #

maxBound :: a :~: b #

Bounded b => Bounded (Tagged s b) 
Instance details

Defined in Data.Tagged

Methods

minBound :: Tagged s b #

maxBound :: Tagged s b #

Bounded (rep (int + frac)) => Bounded (Fixed rep int frac) # 
Instance details

Defined in Clash.Sized.Fixed

Methods

minBound :: Fixed rep int frac #

maxBound :: Fixed rep int frac #

(Bounded a, Bounded b, Bounded c, Bounded d) => Bounded (a, b, c, d)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d) #

maxBound :: (a, b, c, d) #

a ~~ b => Bounded (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

minBound :: a :~~: b #

maxBound :: a :~~: b #

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e) => Bounded (a, b, c, d, e)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e) #

maxBound :: (a, b, c, d, e) #

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f) => Bounded (a, b, c, d, e, f)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f) #

maxBound :: (a, b, c, d, e, f) #

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g) => Bounded (a, b, c, d, e, f, g)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h) => Bounded (a, b, c, d, e, f, g, h)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i) => Bounded (a, b, c, d, e, f, g, h, i)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j) => Bounded (a, b, c, d, e, f, g, h, i, j)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k) => Bounded (a, b, c, d, e, f, g, h, i, j, k)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k) #

maxBound :: (a, b, c, d, e, f, g, h, i, j, k) #

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k, l) #

maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l) #

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m) #

maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m) #

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) #

maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) #

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n, Bounded o) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) #

maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) #

class Enum a where #

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:

   enumFrom     x   = enumFromTo     x maxBound
   enumFromThen x y = enumFromThenTo x y bound
     where
       bound | fromEnum y >= fromEnum x = maxBound
             | otherwise                = minBound

Minimal complete definition

toEnum, fromEnum

Methods

succ :: a -> a #

the successor of a value. For numeric types, succ adds 1.

pred :: a -> a #

the predecessor of a value. For numeric types, pred subtracts 1.

toEnum :: Int -> a #

Convert from an Int.

fromEnum :: a -> 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.

enumFrom :: a -> [a] #

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
Enum Bool

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Bool -> Bool #

pred :: Bool -> Bool #

toEnum :: Int -> Bool #

fromEnum :: Bool -> Int #

enumFrom :: Bool -> [Bool] #

enumFromThen :: Bool -> Bool -> [Bool] #

enumFromTo :: Bool -> Bool -> [Bool] #

enumFromThenTo :: Bool -> Bool -> Bool -> [Bool] #

Enum Char

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Char -> Char #

pred :: Char -> Char #

toEnum :: Int -> Char #

fromEnum :: Char -> Int #

enumFrom :: Char -> [Char] #

enumFromThen :: Char -> Char -> [Char] #

enumFromTo :: Char -> Char -> [Char] #

enumFromThenTo :: Char -> Char -> Char -> [Char] #

Enum Int

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Int -> Int #

pred :: Int -> Int #

toEnum :: Int -> Int #

fromEnum :: Int -> Int #

enumFrom :: Int -> [Int] #

enumFromThen :: Int -> Int -> [Int] #

enumFromTo :: Int -> Int -> [Int] #

enumFromThenTo :: Int -> Int -> Int -> [Int] #

Enum Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

succ :: Int8 -> Int8 #

pred :: Int8 -> Int8 #

toEnum :: Int -> Int8 #

fromEnum :: Int8 -> Int #

enumFrom :: Int8 -> [Int8] #

enumFromThen :: Int8 -> Int8 -> [Int8] #

enumFromTo :: Int8 -> Int8 -> [Int8] #

enumFromThenTo :: Int8 -> Int8 -> Int8 -> [Int8] #

Enum Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Integer

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Natural

Since: base-4.8.0.0

Instance details

Defined in GHC.Natural

Enum Ordering

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Word

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Word -> Word #

pred :: Word -> Word #

toEnum :: Int -> Word #

fromEnum :: Word -> Int #

enumFrom :: Word -> [Word] #

enumFromThen :: Word -> Word -> [Word] #

enumFromTo :: Word -> Word -> [Word] #

enumFromThenTo :: Word -> Word -> Word -> [Word] #

Enum Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Enum VecCount

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Enum VecElem

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Enum ()

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: () -> () #

pred :: () -> () #

toEnum :: Int -> () #

fromEnum :: () -> Int #

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

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

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

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

Enum Associativity 
Instance details

Defined in GHC.Generics

Enum SourceUnpackedness 
Instance details

Defined in GHC.Generics

Enum SourceStrictness 
Instance details

Defined in GHC.Generics

Enum DecidedStrictness 
Instance details

Defined in GHC.Generics

Enum CChar 
Instance details

Defined in Foreign.C.Types

Enum CSChar 
Instance details

Defined in Foreign.C.Types

Enum CUChar 
Instance details

Defined in Foreign.C.Types

Enum CShort 
Instance details

Defined in Foreign.C.Types

Enum CUShort 
Instance details

Defined in Foreign.C.Types

Enum CInt 
Instance details

Defined in Foreign.C.Types

Methods

succ :: CInt -> CInt #

pred :: CInt -> CInt #

toEnum :: Int -> CInt #

fromEnum :: CInt -> Int #

enumFrom :: CInt -> [CInt] #

enumFromThen :: CInt -> CInt -> [CInt] #

enumFromTo :: CInt -> CInt -> [CInt] #

enumFromThenTo :: CInt -> CInt -> CInt -> [CInt] #

Enum CUInt 
Instance details

Defined in Foreign.C.Types

Enum CLong 
Instance details

Defined in Foreign.C.Types

Enum CULong 
Instance details

Defined in Foreign.C.Types

Enum CLLong 
Instance details

Defined in Foreign.C.Types

Enum CULLong 
Instance details

Defined in Foreign.C.Types

Enum CBool 
Instance details

Defined in Foreign.C.Types

Enum CFloat 
Instance details

Defined in Foreign.C.Types

Enum CDouble 
Instance details

Defined in Foreign.C.Types

Enum CPtrdiff 
Instance details

Defined in Foreign.C.Types

Enum CSize 
Instance details

Defined in Foreign.C.Types

Enum CWchar 
Instance details

Defined in Foreign.C.Types

Enum CSigAtomic 
Instance details

Defined in Foreign.C.Types

Enum CClock 
Instance details

Defined in Foreign.C.Types

Enum CTime 
Instance details

Defined in Foreign.C.Types

Enum CUSeconds 
Instance details

Defined in Foreign.C.Types

Enum CSUSeconds 
Instance details

Defined in Foreign.C.Types

Enum CIntPtr 
Instance details

Defined in Foreign.C.Types

Enum CUIntPtr 
Instance details

Defined in Foreign.C.Types

Enum CIntMax 
Instance details

Defined in Foreign.C.Types

Enum CUIntMax 
Instance details

Defined in Foreign.C.Types

Enum GeneralCategory 
Instance details

Defined in GHC.Unicode

Enum Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Enum Day 
Instance details

Defined in Data.Time.Calendar.Days

Methods

succ :: Day -> Day #

pred :: Day -> Day #

toEnum :: Int -> Day #

fromEnum :: Day -> Int #

enumFrom :: Day -> [Day] #

enumFromThen :: Day -> Day -> [Day] #

enumFromTo :: Day -> Day -> [Day] #

enumFromThenTo :: Day -> Day -> Day -> [Day] #

Enum Bit # 
Instance details

Defined in Clash.Sized.Internal.BitVector

Methods

succ :: Bit -> Bit #

pred :: Bit -> Bit #

toEnum :: Int -> Bit #

fromEnum :: Bit -> Int #

enumFrom :: Bit -> [Bit] #

enumFromThen :: Bit -> Bit -> [Bit] #

enumFromTo :: Bit -> Bit -> [Bit] #

enumFromThenTo :: Bit -> Bit -> Bit -> [Bit] #

a :=> (Enum (Dict a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: a :- Enum (Dict a)

() :=> (Enum Bool) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum Bool

() :=> (Enum Char) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum Char

() :=> (Enum Double) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum Double

() :=> (Enum Float) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum Float

() :=> (Enum Int) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum Int

() :=> (Enum Integer) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum Integer

() :=> (Enum Natural) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum Natural

() :=> (Enum Ordering) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum Ordering

() :=> (Enum Word) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum Word

() :=> (Enum ()) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Enum ()

Class () (Enum a) 
Instance details

Defined in Data.Constraint

Methods

cls :: Enum a :- ()

Integral a => Enum (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

succ :: Ratio a -> Ratio a #

pred :: Ratio a -> Ratio a #

toEnum :: Int -> Ratio a #

fromEnum :: Ratio a -> Int #

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

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

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

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

Enum (Fixed a)

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

succ :: Fixed a -> Fixed a #

pred :: Fixed a -> Fixed a #

toEnum :: Int -> Fixed a #

fromEnum :: Fixed a -> Int #

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

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

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

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

Enum a => Enum (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Min a -> Min a #

pred :: Min a -> Min a #

toEnum :: Int -> Min a #

fromEnum :: Min a -> Int #

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

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

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

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

Enum a => Enum (Max a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Max a -> Max a #

pred :: Max a -> Max a #

toEnum :: Int -> Max a #

fromEnum :: Max a -> Int #

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

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

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

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

Enum a => Enum (First a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: First a -> First a #

pred :: First a -> First a #

toEnum :: Int -> First a #

fromEnum :: First a -> Int #

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

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

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

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

Enum a => Enum (Last a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Last a -> Last a #

pred :: Last a -> Last a #

toEnum :: Int -> Last a #

fromEnum :: Last a -> Int #

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

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

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

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

Enum a => Enum (WrappedMonoid a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Enum a => Enum (Identity a) 
Instance details

Defined in Data.Functor.Identity

KnownNat n => Enum (BitVector n) #

The functions: enumFrom, enumFromThen, enumFromTo, and enumFromThenTo, are not synthesisable.

Instance details

Defined in Clash.Sized.Internal.BitVector

KnownNat n => Enum (Index n) #

The functions: enumFrom, enumFromThen, enumFromTo, and enumFromThenTo, are not synthesisable.

Instance details

Defined in Clash.Sized.Internal.Index

Methods

succ :: Index n -> Index n #

pred :: Index n -> Index n #

toEnum :: Int -> Index n #

fromEnum :: Index n -> Int #

enumFrom :: Index n -> [Index n] #

enumFromThen :: Index n -> Index n -> [Index n] #

enumFromTo :: Index n -> Index n -> [Index n] #

enumFromThenTo :: Index n -> Index n -> Index n -> [Index n] #

Enum a => Enum (Bounds a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

succ :: Bounds a -> Bounds a #

pred :: Bounds a -> Bounds a #

toEnum :: Int -> Bounds a #

fromEnum :: Bounds a -> Int #

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

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

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

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

KnownNat n => Enum (Unsigned n) #

The functions: enumFrom, enumFromThen, enumFromTo, and enumFromThenTo, are not synthesisable.

Instance details

Defined in Clash.Sized.Internal.Unsigned

KnownNat n => Enum (Signed n) #

The functions: enumFrom, enumFromThen, enumFromTo, and enumFromThenTo, are not synthesisable.

Instance details

Defined in Clash.Sized.Internal.Signed

Methods

succ :: Signed n -> Signed n #

pred :: Signed n -> Signed n #

toEnum :: Int -> Signed n #

fromEnum :: Signed n -> Int #

enumFrom :: Signed n -> [Signed n] #

enumFromThen :: Signed n -> Signed n -> [Signed n] #

enumFromTo :: Signed n -> Signed n -> [Signed n] #

enumFromThenTo :: Signed n -> Signed n -> Signed n -> [Signed n] #

a => Enum (Dict a) 
Instance details

Defined in Data.Constraint

Methods

succ :: Dict a -> Dict a #

pred :: Dict a -> Dict a #

toEnum :: Int -> Dict a #

fromEnum :: Dict a -> Int #

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

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

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

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

(Enum a) :=> (Enum (Identity a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Enum a :- Enum (Identity a)

(Enum a) :=> (Enum (Const a b)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Enum a :- Enum (Const a b)

(Integral a) :=> (Enum (Ratio a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Integral a :- Enum (Ratio a)

Enum (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

succ :: Proxy s -> Proxy s #

pred :: Proxy s -> Proxy s #

toEnum :: Int -> Proxy s #

fromEnum :: Proxy s -> Int #

enumFrom :: Proxy s -> [Proxy s] #

enumFromThen :: Proxy s -> Proxy s -> [Proxy s] #

enumFromTo :: Proxy s -> Proxy s -> [Proxy s] #

enumFromThenTo :: Proxy s -> Proxy s -> Proxy s -> [Proxy s] #

Class (Real a, Enum a) (Integral a) 
Instance details

Defined in Data.Constraint

Methods

cls :: Integral a :- (Real a, Enum a)

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

Defined in Data.Functor.Const

Methods

succ :: Const a b -> Const a b #

pred :: Const a b -> Const a b #

toEnum :: Int -> Const a b #

fromEnum :: Const a b -> Int #

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

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

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

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

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

Defined in Data.Semigroup.Internal

Methods

succ :: Alt f a -> Alt f a #

pred :: Alt f a -> Alt f a #

toEnum :: Int -> Alt f a #

fromEnum :: Alt f a -> Int #

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

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

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

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

a ~ b => Enum (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

succ :: (a :~: b) -> a :~: b #

pred :: (a :~: b) -> a :~: b #

toEnum :: Int -> a :~: b #

fromEnum :: (a :~: b) -> Int #

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

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

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

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

Enum a => Enum (Tagged s a) 
Instance details

Defined in Data.Tagged

Methods

succ :: Tagged s a -> Tagged s a #

pred :: Tagged s a -> Tagged s a #

toEnum :: Int -> Tagged s a #

fromEnum :: Tagged s a -> Int #

enumFrom :: Tagged s a -> [Tagged s a] #

enumFromThen :: Tagged s a -> Tagged s a -> [Tagged s a] #

enumFromTo :: Tagged s a -> Tagged s a -> [Tagged s a] #

enumFromThenTo :: Tagged s a -> Tagged s a -> Tagged s a -> [Tagged s a] #

Enum (rep (int + frac)) => Enum (Fixed rep int frac) # 
Instance details

Defined in Clash.Sized.Fixed

Methods

succ :: Fixed rep int frac -> Fixed rep int frac #

pred :: Fixed rep int frac -> Fixed rep int frac #

toEnum :: Int -> Fixed rep int frac #

fromEnum :: Fixed rep int frac -> Int #

enumFrom :: Fixed rep int frac -> [Fixed rep int frac] #

enumFromThen :: Fixed rep int frac -> Fixed rep int frac -> [Fixed rep int frac] #

enumFromTo :: Fixed rep int frac -> Fixed rep int frac -> [Fixed rep int frac] #

enumFromThenTo :: Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac -> [Fixed rep int frac] #

a ~~ b => Enum (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

succ :: (a :~~: b) -> a :~~: b #

pred :: (a :~~: b) -> a :~~: b #

toEnum :: Int -> a :~~: b #

fromEnum :: (a :~~: b) -> Int #

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

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

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

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

class Eq a where #

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.

Minimal complete definition: either == or /=.

Minimal complete definition

(==) | (/=)

Methods

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

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

Instances
Eq Bool 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Char 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Double 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Float 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Int 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

(==) :: Int8 -> Int8 -> Bool #

(/=) :: Int8 -> Int8 -> Bool #

Eq Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

(==) :: Int16 -> Int16 -> Bool #

(/=) :: Int16 -> Int16 -> Bool #

Eq Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

(==) :: Int32 -> Int32 -> Bool #

(/=) :: Int32 -> Int32 -> Bool #

Eq Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

(==) :: Int64 -> Int64 -> Bool #

(/=) :: Int64 -> Int64 -> Bool #

Eq Integer 
Instance details

Defined in GHC.Integer.Type

Methods

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

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

Eq Natural 
Instance details

Defined in GHC.Natural

Methods

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

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

Eq Ordering 
Instance details

Defined in GHC.Classes

Eq Word 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

(==) :: Word8 -> Word8 -> Bool #

(/=) :: Word8 -> Word8 -> Bool #

Eq Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

(==) :: Word16 -> Word16 -> Bool #

(/=) :: Word16 -> Word16 -> Bool #

Eq Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

(==) :: Word32 -> Word32 -> Bool #

(/=) :: Word32 -> Word32 -> Bool #

Eq Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

(==) :: Word64 -> Word64 -> Bool #

(/=) :: Word64 -> Word64 -> Bool #

Eq SomeTypeRep 
Instance details

Defined in Data.Typeable.Internal

Eq Exp 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Match 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Clause 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Pat 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Type 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Dec 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Name 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq FunDep 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq InjectivityAnn 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Overlap 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq DerivStrategy 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq () 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq TyCon 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Module 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq TrName 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq BigNat 
Instance details

Defined in GHC.Integer.Type

Methods

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

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

Eq Void

Since: base-4.8.0.0

Instance details

Defined in Data.Void

Methods

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

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

Eq SpecConstrAnnotation 
Instance details

Defined in GHC.Exts

Eq Constr

Equality of constructors

Since: base-4.0.0.0

Instance details

Defined in Data.Data

Methods

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

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

Eq DataRep 
Instance details

Defined in Data.Data

Methods

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

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

Eq ConstrRep 
Instance details

Defined in Data.Data

Eq Fixity 
Instance details

Defined in Data.Data

Methods

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

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

Eq Unique 
Instance details

Defined in Data.Unique

Methods

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

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

Eq Version

Since: base-2.1

Instance details

Defined in Data.Version

Methods

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

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

Eq ThreadId

Since: base-4.2.0.0

Instance details

Defined in GHC.Conc.Sync

Eq BlockReason 
Instance details

Defined in GHC.Conc.Sync

Eq ThreadStatus 
Instance details

Defined in GHC.Conc.Sync

Eq AsyncException 
Instance details

Defined in GHC.IO.Exception

Eq ArrayException 
Instance details

Defined in GHC.IO.Exception

Eq ExitCode 
Instance details

Defined in GHC.IO.Exception

Eq IOErrorType

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Eq MaskingState 
Instance details

Defined in GHC.IO

Eq IOException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Eq ErrorCall 
Instance details

Defined in GHC.Exception

Eq ArithException 
Instance details

Defined in GHC.Exception

Eq All 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq Any 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq Fixity 
Instance details

Defined in GHC.Generics

Methods

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

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

Eq Associativity 
Instance details

Defined in GHC.Generics

Eq SourceUnpackedness 
Instance details

Defined in GHC.Generics

Eq SourceStrictness 
Instance details

Defined in GHC.Generics

Eq DecidedStrictness 
Instance details

Defined in GHC.Generics

Eq SomeSymbol

Since: base-4.7.0.0

Instance details

Defined in GHC.TypeLits

Eq SomeNat

Since: base-4.7.0.0

Instance details

Defined in GHC.TypeNats

Methods

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

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

Eq CChar 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CSChar 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUChar 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CShort 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUShort 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CInt 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUInt 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CLong 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CULong 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CLLong 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CULLong 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CBool 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CFloat 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CDouble 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CPtrdiff 
Instance details

Defined in Foreign.C.Types

Eq CSize 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CWchar 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CSigAtomic 
Instance details

Defined in Foreign.C.Types

Eq CClock 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CTime 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUSeconds 
Instance details

Defined in Foreign.C.Types

Eq CSUSeconds 
Instance details

Defined in Foreign.C.Types

Eq CIntPtr 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUIntPtr 
Instance details

Defined in Foreign.C.Types

Eq CIntMax 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUIntMax 
Instance details

Defined in Foreign.C.Types

Eq Fingerprint 
Instance details

Defined in GHC.Fingerprint.Type

Eq Lexeme 
Instance details

Defined in Text.Read.Lex

Methods

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

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

Eq Number 
Instance details

Defined in Text.Read.Lex

Methods

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

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

Eq GeneralCategory 
Instance details

Defined in GHC.Unicode

Eq SrcLoc 
Instance details

Defined in GHC.Stack.Types

Methods

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

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

Eq ByteString 
Instance details

Defined in Data.ByteString.Lazy.Internal

Eq ByteString 
Instance details

Defined in Data.ByteString.Internal

Eq IntSet 
Instance details

Defined in Data.IntSet.Internal

Methods

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

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

Eq TyVarBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Eq ForeignSrcLang 
Instance details

Defined in GHC.ForeignSrcLang.Type

Eq Doc 
Instance details

Defined in Text.PrettyPrint.HughesPJ

Methods

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

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

Eq TextDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Eq Style 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq Mode 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq ModName 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq PkgName 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Module 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq OccName 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq NameFlavour 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq NameSpace 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Loc 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Info 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq ModuleInfo 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Fixity 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq FixityDirection 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Lit 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Body 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Guard 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Stmt 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Range 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq DerivClause 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq TypeFamilyHead 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq TySynEqn 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Foreign 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Callconv 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Safety 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Pragma 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Inline 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq RuleMatch 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Phases 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq RuleBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq AnnTarget 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq SourceUnpackedness 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq SourceStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq DecidedStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Con 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Bang 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq PatSynDir 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq PatSynArgs 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq FamilyResultSig 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq TyLit 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Role 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq AnnLookup 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq LocalTime 
Instance details

Defined in Data.Time.LocalTime.Internal.LocalTime

Eq UniversalTime 
Instance details

Defined in Data.Time.Clock.Internal.UniversalTime

Eq UTCTime 
Instance details

Defined in Data.Time.Clock.Internal.UTCTime

Methods

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

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

Eq Day 
Instance details

Defined in Data.Time.Calendar.Days

Methods

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

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

Eq HDL # 
Instance details

Defined in Clash.Annotations.Primitive

Methods

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

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

Eq SaturationMode # 
Instance details

Defined in Clash.Class.Num

Eq Bit # 
Instance details

Defined in Clash.Sized.Internal.BitVector

Methods

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

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

Eq DefName 
Instance details

Defined in Control.Lens.Internal.FieldTH

Methods

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

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

Eq TimeLocale 
Instance details

Defined in System.Locale

Methods

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

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

Eq ByteArray 
Instance details

Defined in Data.Primitive.ByteArray

Methods

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

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

Eq Addr 
Instance details

Defined in Data.Primitive.Types

Methods

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

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

Eq ConstructorInfo 
Instance details

Defined in Language.Haskell.TH.Datatype

Methods

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

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

Eq ConstructorVariant 
Instance details

Defined in Language.Haskell.TH.Datatype

Methods

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

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

Eq DatatypeInfo 
Instance details

Defined in Language.Haskell.TH.Datatype

Methods

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

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

Eq DatatypeVariant 
Instance details

Defined in Language.Haskell.TH.Datatype

Methods

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

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

Eq FieldStrictness 
Instance details

Defined in Language.Haskell.TH.Datatype

Methods

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

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

Eq Strictness 
Instance details

Defined in Language.Haskell.TH.Datatype

Methods

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

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

Eq Unpackedness 
Instance details

Defined in Language.Haskell.TH.Datatype

Methods

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

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

Eq Half 
Instance details

Defined in Numeric.Half

Methods

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

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

Eq ResetKind # 
Instance details

Defined in Clash.Signal.Internal

Eq ClockKind # 
Instance details

Defined in Clash.Signal.Internal

Eq NewOrData 
Instance details

Defined in Language.Haskell.TH.Desugar.Core

Methods

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

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

() :=> (Eq Bool) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq Bool

() :=> (Eq Double) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq Double

() :=> (Eq Float) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq Float

() :=> (Eq Int) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq Int

() :=> (Eq Integer) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq Integer

() :=> (Eq Natural) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq Natural

() :=> (Eq Word) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq Word

() :=> (Eq ()) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq ()

() :=> (Eq (a :- b)) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq (a :- b)

() :=> (Eq (Dict a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Eq (Dict a)

Class () (Eq a) 
Instance details

Defined in Data.Constraint

Methods

cls :: Eq a :- ()

Eq a => Eq [a] 
Instance details

Defined in GHC.Classes

Methods

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

(/=) :: [a] -> [a] -> Bool #

Eq a => Eq (Maybe a) 
Instance details

Defined in GHC.Base

Methods

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

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

Eq a => Eq (Ratio a) 
Instance details

Defined in GHC.Real

Methods

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

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

Eq (Ptr a) 
Instance details

Defined in GHC.Ptr

Methods

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

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

Eq (FunPtr a) 
Instance details

Defined in GHC.Ptr

Methods

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

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

Eq p => Eq (Par1 p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: Par1 p -> Par1 p -> Bool #

(/=) :: Par1 p -> Par1 p -> Bool #

Eq a => Eq (Complex a) 
Instance details

Defined in Data.Complex

Methods

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

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

Eq (Fixed a) 
Instance details

Defined in Data.Fixed

Methods

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

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

Eq a => Eq (Min a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq a => Eq (Max a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq a => Eq (First a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq a => Eq (Last a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq m => Eq (WrappedMonoid m) 
Instance details

Defined in Data.Semigroup

Eq a => Eq (Option a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq (StableName a)

Since: base-2.1

Instance details

Defined in System.Mem.StableName

Methods

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

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

Eq a => Eq (ZipList a) 
Instance details

Defined in Control.Applicative

Methods

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

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

Eq a => Eq (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

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

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

Eq (TVar a)

Since: base-4.8.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

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

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

Eq (IORef a)

Pointer equality.

Since: base-4.1.0.0

Instance details

Defined in GHC.IORef

Methods

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

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

Eq a => Eq (First a) 
Instance details

Defined in Data.Monoid

Methods

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

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

Eq a => Eq (Last a) 
Instance details

Defined in Data.Monoid

Methods

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

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

Eq a => Eq (Dual a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq a => Eq (Sum a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq a => Eq (Product a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq a => Eq (Down a) 
Instance details

Defined in Data.Ord

Methods

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

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

Eq (MVar a)

Since: base-4.1.0.0

Instance details

Defined in GHC.MVar

Methods

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

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

Eq a => Eq (NonEmpty a) 
Instance details

Defined in GHC.Base

Methods

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

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

Eq a => Eq (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

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

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

Eq a => Eq (Tree a) 
Instance details

Defined in Data.Tree

Methods

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

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

Eq a => Eq (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Eq a => Eq (ViewL a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Eq a => Eq (ViewR a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Eq a => Eq (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

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

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

Eq (Doc a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq a => Eq (AnnotDetails a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Eq a => Eq (Span a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq (BitVector n) # 
Instance details

Defined in Clash.Sized.Internal.BitVector

Methods

(==) :: BitVector n -> BitVector n -> Bool #

(/=) :: BitVector n -> BitVector n -> Bool #

Eq (Index n) # 
Instance details

Defined in Clash.Sized.Internal.Index

Methods

(==) :: Index n -> Index n -> Bool #

(/=) :: Index n -> Index n -> Bool #

Eq a => Eq (Bounds a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

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

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

Eq a => Eq (DList a) 
Instance details

Defined in Data.DList

Methods

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

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

Eq a => Eq (HashSet a) 
Instance details

Defined in Data.HashSet

Methods

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

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

(Storable a, Eq a) => Eq (Vector a) 
Instance details

Defined in Data.Vector.Storable

Methods

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

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

(Prim a, Eq a) => Eq (Vector a) 
Instance details

Defined in Data.Vector.Primitive

Methods

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

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

Eq a => Eq (Vector a) 
Instance details

Defined in Data.Vector

Methods

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

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

Eq a => Eq (Array a) 
Instance details

Defined in Data.Primitive.Array

Methods

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

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

(Eq a, Prim a) => Eq (PrimArray a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

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

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

Eq a => Eq (SmallArray a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

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

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

(Eq a, PrimUnlifted a) => Eq (UnliftedArray a) 
Instance details

Defined in Data.Primitive.UnliftedArray

Methods

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

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

Eq (Unsigned n) # 
Instance details

Defined in Clash.Sized.Internal.Unsigned

Methods

(==) :: Unsigned n -> Unsigned n -> Bool #

(/=) :: Unsigned n -> Unsigned n -> Bool #

Eq (Signed n) # 
Instance details

Defined in Clash.Sized.Internal.Signed

Methods

(==) :: Signed n -> Signed n -> Bool #

(/=) :: Signed n -> Signed n -> Bool #

Eq (Dict a) 
Instance details

Defined in Data.Constraint

Methods

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

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

(Eq a) :=> (Eq [a]) 
Instance details

Defined in Data.Constraint

Methods

ins :: Eq a :- Eq [a]

(Eq a) :=> (Eq (Maybe a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Eq a :- Eq (Maybe a)

(Eq a) :=> (Eq (Complex a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Eq a :- Eq (Complex a)

(Eq a) :=> (Eq (Ratio a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Eq a :- Eq (Ratio a)

(Eq a) :=> (Eq (Identity a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Eq a :- Eq (Identity a)

(Eq a) :=> (Eq (Const a b)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Eq a :- Eq (Const a b)

Class (Eq a) (Ord a) 
Instance details

Defined in Data.Constraint

Methods

cls :: Ord a :- Eq a

Class (Eq a) (Bits a) 
Instance details

Defined in Data.Constraint

Methods

cls :: Bits a :- Eq a

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

Defined in Data.Either

Methods

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

(/=) :: Either a b -> Either a b -> Bool #

Eq (V1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(==) :: V1 p -> V1 p -> Bool #

(/=) :: V1 p -> V1 p -> Bool #

Eq (U1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(==) :: U1 p -> U1 p -> Bool #

(/=) :: U1 p -> U1 p -> Bool #

Eq (TypeRep a)

Since: base-2.1

Instance details

Defined in Data.Typeable.Internal

Methods

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

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

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

Defined in GHC.Classes

Methods

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

(/=) :: (a, b) -> (a, b) -> Bool #

(Ix i, Eq e) => Eq (Array i e)

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

(==) :: Array i e -> Array i e -> Bool #

(/=) :: Array i e -> Array i e -> Bool #

Eq a => Eq (Arg a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(==) :: Arg a b -> Arg a b -> Bool #

(/=) :: Arg a b -> Arg a b -> Bool #

Eq (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

(==) :: Proxy s -> Proxy s -> Bool #

(/=) :: Proxy s -> Proxy s -> Bool #

Eq (STRef s a)

Pointer equality.

Since: base-2.1

Instance details

Defined in GHC.STRef

Methods

(==) :: STRef s a -> STRef s a -> Bool #

(/=) :: STRef s a -> STRef s a -> Bool #

(Eq k, Eq a) => Eq (Map k a) 
Instance details

Defined in Data.Map.Internal

Methods

(==) :: Map k a -> Map k a -> Bool #

(/=) :: Map k a -> Map k a -> Bool #

(KnownNat n, Eq a) => Eq (Vec n a) # 
Instance details

Defined in Clash.Sized.Vector

Methods

(==) :: Vec n a -> Vec n a -> Bool #

(/=) :: Vec n a -> Vec n a -> Bool #

(Eq i, Eq a) => Eq (Level i a) 
Instance details

Defined in Control.Lens.Internal.Level

Methods

(==) :: Level i a -> Level i a -> Bool #

(/=) :: Level i a -> Level i a -> Bool #

(Eq1 f, Eq a) => Eq (Cofree f a) 
Instance details

Defined in Control.Comonad.Cofree

Methods

(==) :: Cofree f a -> Cofree f a -> Bool #

(/=) :: Cofree f a -> Cofree f a -> Bool #

(Eq1 f, Eq a) => Eq (Free f a) 
Instance details

Defined in Control.Monad.Free

Methods

(==) :: Free f a -> Free f a -> Bool #

(/=) :: Free f a -> Free f a -> Bool #

(Eq1 f, Eq a) => Eq (Yoneda f a) 
Instance details

Defined in Data.Functor.Yoneda

Methods

(==) :: Yoneda f a -> Yoneda f a -> Bool #

(/=) :: Yoneda f a -> Yoneda f a -> Bool #

(Eq k, Eq v) => Eq (HashMap k v) 
Instance details

Defined in Data.HashMap.Base

Methods

(==) :: HashMap k v -> HashMap k v -> Bool #

(/=) :: HashMap k v -> HashMap k v -> Bool #

Eq (MutableArray s a) 
Instance details

Defined in Data.Primitive.Array

Methods

(==) :: MutableArray s a -> MutableArray s a -> Bool #

(/=) :: MutableArray s a -> MutableArray s a -> Bool #

Eq (SmallMutableArray s a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

(==) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool #

(/=) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool #

Eq (MutableUnliftedArray s a) 
Instance details

Defined in Data.Primitive.UnliftedArray

Methods

(==) :: MutableUnliftedArray s a -> MutableUnliftedArray s a -> Bool #

(/=) :: MutableUnliftedArray s a -> MutableUnliftedArray s a -> Bool #

(Eq k, Eq v) => Eq (Leaf k v) 
Instance details

Defined in Data.HashMap.Base

Methods

(==) :: Leaf k v -> Leaf k v -> Bool #

(/=) :: Leaf k v -> Leaf k v -> Bool #

(KnownNat d, Eq a) => Eq (RTree d a) # 
Instance details

Defined in Clash.Sized.RTree

Methods

(==) :: RTree d a -> RTree d a -> Bool #

(/=) :: RTree d a -> RTree d a -> Bool #

Eq (a :- b) 
Instance details

Defined in Data.Constraint

Methods

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

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

(Eq a, Eq b) :=> (Eq (a, b)) 
Instance details

Defined in Data.Constraint

Methods

ins :: (Eq a, Eq b) :- Eq (a, b)

(Eq a, Eq b) :=> (Eq (Either a b)) 
Instance details

Defined in Data.Constraint

Methods

ins :: (Eq a, Eq b) :- Eq (Either a b)

Eq (f p) => Eq (Rec1 f p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: Rec1 f p -> Rec1 f p -> Bool #

(/=) :: Rec1 f p -> Rec1 f p -> Bool #

Eq (URec (Ptr ()) p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool #

(/=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool #

Eq (URec Char p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: URec Char p -> URec Char p -> Bool #

(/=) :: URec Char p -> URec Char p -> Bool #

Eq (URec Double p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: URec Double p -> URec Double p -> Bool #

(/=) :: URec Double p -> URec Double p -> Bool #

Eq (URec Float p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: URec Float p -> URec Float p -> Bool #

(/=) :: URec Float p -> URec Float p -> Bool #

Eq (URec Int p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: URec Int p -> URec Int p -> Bool #

(/=) :: URec Int p -> URec Int p -> Bool #

Eq (URec Word p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: URec Word p -> URec Word p -> Bool #

(/=) :: URec Word p -> URec Word p -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c) -> (a, b, c) -> Bool #

(/=) :: (a, b, c) -> (a, b, c) -> Bool #

Eq (STArray s i e)

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

(==) :: STArray s i e -> STArray s i e -> Bool #

(/=) :: STArray s i e -> STArray s i e -> Bool #

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

Defined in Data.Functor.Const

Methods

(==) :: Const a b -> Const a b -> Bool #

(/=) :: Const a b -> Const a b -> Bool #

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

Defined in Data.Semigroup.Internal

Methods

(==) :: Alt f a -> Alt f a -> Bool #

(/=) :: Alt f a -> Alt f a -> Bool #

Eq (a :~: b) 
Instance details

Defined in Data.Type.Equality

Methods

(==) :: (a :~: b) -> (a :~: b) -> Bool #

(/=) :: (a :~: b) -> (a :~: b) -> Bool #

(Eq e, Eq1 m, Eq a) => Eq (ErrorT e m a) 
Instance details

Defined in Control.Monad.Trans.Error

Methods

(==) :: ErrorT e m a -> ErrorT e m a -> Bool #

(/=) :: ErrorT e m a -> ErrorT e m a -> Bool #

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

Defined in Data.Functor.Constant

Methods

(==) :: Constant a b -> Constant a b -> Bool #

(/=) :: Constant a b -> Constant a b -> Bool #

Eq b => Eq (Tagged s b) 
Instance details

Defined in Data.Tagged

Methods

(==) :: Tagged s b -> Tagged s b -> Bool #

(/=) :: Tagged s b -> Tagged s b -> Bool #

Eq (p (Fix p a) a) => Eq (Fix p a) 
Instance details

Defined in Data.Bifunctor.Fix

Methods

(==) :: Fix p a -> Fix p a -> Bool #

(/=) :: Fix p a -> Fix p a -> Bool #

Eq (p a a) => Eq (Join p a) 
Instance details

Defined in Data.Bifunctor.Join

Methods

(==) :: Join p a -> Join p a -> Bool #

(/=) :: Join p a -> Join p a -> Bool #

(Eq a, Eq (f b)) => Eq (CofreeF f a b) 
Instance details

Defined in Control.Comonad.Trans.Cofree

Methods

(==) :: CofreeF f a b -> CofreeF f a b -> Bool #

(/=) :: CofreeF f a b -> CofreeF f a b -> Bool #

Eq (w (CofreeF f a (CofreeT f w a))) => Eq (CofreeT f w a) 
Instance details

Defined in Control.Comonad.Trans.Cofree

Methods

(==) :: CofreeT f w a -> CofreeT f w a -> Bool #

(/=) :: CofreeT f w a -> CofreeT f w a -> Bool #

(Eq1 f, Eq1 m, Eq a) => Eq (FreeT f m a) 
Instance details

Defined in Control.Monad.Trans.Free

Methods

(==) :: FreeT f m a -> FreeT f m a -> Bool #

(/=) :: FreeT f m a -> FreeT f m a -> Bool #

(Eq a, Eq (f b)) => Eq (FreeF f a b) 
Instance details

Defined in Control.Monad.Trans.Free

Methods

(==) :: FreeF f a b -> FreeF f a b -> Bool #

(/=) :: FreeF f a b -> FreeF f a b -> Bool #

Eq (rep (int + frac)) => Eq (Fixed rep int frac) # 
Instance details

Defined in Clash.Sized.Fixed

Methods

(==) :: Fixed rep int frac -> Fixed rep int frac -> Bool #

(/=) :: Fixed rep int frac -> Fixed rep int frac -> Bool #

Eq c => Eq (K1 i c p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: K1 i c p -> K1 i c p -> Bool #

(/=) :: K1 i c p -> K1 i c p -> Bool #

(Eq (f p), Eq (g p)) => Eq ((f :+: g) p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: (f :+: g) p -> (f :+: g) p -> Bool #

(/=) :: (f :+: g) p -> (f :+: g) p -> Bool #

(Eq (f p), Eq (g p)) => Eq ((f :*: g) p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: (f :*: g) p -> (f :*: g) p -> Bool #

(/=) :: (f :*: g) p -> (f :*: g) p -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d) -> (a, b, c, d) -> Bool #

(/=) :: (a, b, c, d) -> (a, b, c, d) -> Bool #

(Eq1 f, Eq1 g, Eq a) => Eq (Product f g a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

(==) :: Product f g a -> Product f g a -> Bool #

(/=) :: Product f g a -> Product f g a -> Bool #

(Eq1 f, Eq1 g, Eq a) => Eq (Sum f g a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

(==) :: Sum f g a -> Sum f g a -> Bool #

(/=) :: Sum f g a -> Sum f g a -> Bool #

Eq (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

(==) :: (a :~~: b) -> (a :~~: b) -> Bool #

(/=) :: (a :~~: b) -> (a :~~: b) -> Bool #

Eq (f p) => Eq (M1 i c f p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: M1 i c f p -> M1 i c f p -> Bool #

(/=) :: M1 i c f p -> M1 i c f p -> Bool #

Eq (f (g p)) => Eq ((f :.: g) p) 
Instance details

Defined in GHC.Generics

Methods

(==) :: (f :.: g) p -> (f :.: g) p -> Bool #

(/=) :: (f :.: g) p -> (f :.: g) p -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool #

(/=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool #

(Eq1 f, Eq1 g, Eq a) => Eq (Compose f g a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

(==) :: Compose f g a -> Compose f g a -> Bool #

(/=) :: Compose f g a -> Compose f g a -> Bool #

Eq (f a) => Eq (Clown f a b) 
Instance details

Defined in Data.Bifunctor.Clown

Methods

(==) :: Clown f a b -> Clown f a b -> Bool #

(/=) :: Clown f a b -> Clown f a b -> Bool #

Eq (p b a) => Eq (Flip p a b) 
Instance details

Defined in Data.Bifunctor.Flip

Methods

(==) :: Flip p a b -> Flip p a b -> Bool #

(/=) :: Flip p a b -> Flip p a b -> Bool #

Eq (g b) => Eq (Joker g a b) 
Instance details

Defined in Data.Bifunctor.Joker

Methods

(==) :: Joker g a b -> Joker g a b -> Bool #

(/=) :: Joker g a b -> Joker g a b -> Bool #

Eq (p a b) => Eq (WrappedBifunctor p a b) 
Instance details

Defined in Data.Bifunctor.Wrapped

Methods

(==) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool #

(/=) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool #

(/=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool #

(Eq (f a b), Eq (g a b)) => Eq (Product f g a b) 
Instance details

Defined in Data.Bifunctor.Product

Methods

(==) :: Product f g a b -> Product f g a b -> Bool #

(/=) :: Product f g a b -> Product f g a b -> Bool #

(Eq (p a b), Eq (q a b)) => Eq (Sum p q a b) 
Instance details

Defined in Data.Bifunctor.Sum

Methods

(==) :: Sum p q a b -> Sum p q a b -> Bool #

(/=) :: Sum p q a b -> Sum p q a b -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool #

(/=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool #

Eq (f (p a b)) => Eq (Tannen f p a b) 
Instance details

Defined in Data.Bifunctor.Tannen

Methods

(==) :: Tannen f p a b -> Tannen f p a b -> Bool #

(/=) :: Tannen f p a b -> Tannen f p a b -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool #

(/=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool #

(/=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool #

Eq (p (f a) (g b)) => Eq (Biff p f g a b) 
Instance details

Defined in Data.Bifunctor.Biff

Methods

(==) :: Biff p f g a b -> Biff p f g a b -> Bool #

(/=) :: Biff p f g a b -> Biff p f g a b -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool #

(/=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool #

(/=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool #

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool #

(/=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool #

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m) 
Instance details

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool #

(/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool #

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n) 
Instance details

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool #

(/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool #

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n, Eq o) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) 
Instance details

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool #

(/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool #

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

Methods

pi :: a #

exp :: a -> a #

log :: a -> a #

sqrt :: a -> a #

(**) :: a -> a -> a infixr 8 #

logBase :: a -> a -> a #

sin :: a -> a #

cos :: a -> a #

tan :: a -> a #

asin :: a -> a #

acos :: a -> a #

atan :: a -> a #

sinh :: a -> a #

cosh :: a -> a #

tanh :: a -> a #

asinh :: a -> a #

acosh :: a -> a #

atanh :: a -> a #

Instances
Floating Double

Since: base-2.1

Instance details

Defined in GHC.Float

Floating Float

Since: base-2.1

Instance details

Defined in GHC.Float

Floating CFloat 
Instance details

Defined in Foreign.C.Types

Floating CDouble 
Instance details

Defined in Foreign.C.Types

Floating Half 
Instance details

Defined in Numeric.Half

Methods

pi :: Half #

exp :: Half -> Half #

log :: Half -> Half #

sqrt :: Half -> Half #

(**) :: Half -> Half -> Half #

logBase :: Half -> Half -> Half #

sin :: Half -> Half #

cos :: Half -> Half #

tan :: Half -> Half #

asin :: Half -> Half #

acos :: Half -> Half #

atan :: Half -> Half #

sinh :: Half -> Half #

cosh :: Half -> Half #

tanh :: Half -> Half #

asinh :: Half -> Half #

acosh :: Half -> Half #

atanh :: Half -> Half #

log1p :: Half -> Half #

expm1 :: Half -> Half #

log1pexp :: Half -> Half #

log1mexp :: Half -> Half #

() :=> (Floating Double) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Floating Double

() :=> (Floating Float) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Floating Float

RealFloat a => Floating (Complex a)

Since: base-2.1

Instance details

Defined in Data.Complex

Methods

pi :: Complex a #

exp :: Complex a -> Complex a #

log :: Complex a -> Complex a #

sqrt :: Complex a -> Complex a #

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

logBase :: Complex a -> Complex a -> Complex a #

sin :: Complex a -> Complex a #

cos :: Complex a -> Complex a #

tan :: Complex a -> Complex a #

asin :: Complex a -> Complex a #

acos :: Complex a -> Complex a #

atan :: Complex a -> Complex a #

sinh :: Complex a -> Complex a #

cosh :: Complex a -> Complex a #

tanh :: Complex a -> Complex a #

asinh :: Complex a -> Complex a #

acosh :: Complex a -> Complex a #

atanh :: Complex a -> Complex a #

log1p :: Complex a -> Complex a #

expm1 :: Complex a -> Complex a #

log1pexp :: Complex a -> Complex a #

log1mexp :: Complex a -> Complex a #

Floating a => Floating (Identity a) 
Instance details

Defined in Data.Functor.Identity

(Floating a) :=> (Floating (Identity a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Floating a :- Floating (Identity a)

(Floating a) :=> (Floating (Const a b)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Floating a :- Floating (Const a b)

(RealFloat a) :=> (Floating (Complex a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: RealFloat a :- Floating (Complex a)

Class (Fractional a) (Floating a) 
Instance details

Defined in Data.Constraint

Methods

cls :: Floating a :- Fractional a

Floating a => Floating (Op a b) 
Instance details

Defined in Data.Functor.Contravariant

Methods

pi :: Op a b #

exp :: Op a b -> Op a b #

log :: Op a b -> Op a b #

sqrt :: Op a b -> Op a b #

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

logBase :: Op a b -> Op a b -> Op a b #

sin :: Op a b -> Op a b #

cos :: Op a b -> Op a b #

tan :: Op a b -> Op a b #

asin :: Op a b -> Op a b #

acos :: Op a b -> Op a b #

atan :: Op a b -> Op a b #

sinh :: Op a b -> Op a b #

cosh :: Op a b -> Op a b #

tanh :: Op a b -> Op a b #

asinh :: Op a b -> Op a b #

acosh :: Op a b -> Op a b #

atanh :: Op a b -> Op a b #

log1p :: Op a b -> Op a b #

expm1 :: Op a b -> Op a b #

log1pexp :: Op a b -> Op a b #

log1mexp :: Op a b -> Op a b #

Class (RealFrac a, Floating a) (RealFloat a) 
Instance details

Defined in Data.Constraint

Methods

cls :: RealFloat a :- (RealFrac a, Floating a)

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

Defined in Data.Functor.Const

Methods

pi :: Const a b #

exp :: Const a b -> Const a b #

log :: Const a b -> Const a b #

sqrt :: Const a b -> Const a b #

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

logBase :: Const a b -> Const a b -> Const a b #

sin :: Const a b -> Const a b #

cos :: Const a b -> Const a b #

tan :: Const a b -> Const a b #

asin :: Const a b -> Const a b #

acos :: Const a b -> Const a b #

atan :: Const a b -> Const a b #

sinh :: Const a b -> Const a b #

cosh :: Const a b -> Const a b #

tanh :: Const a b -> Const a b #

asinh :: Const a b -> Const a b #

acosh :: Const a b -> Const a b #

atanh :: Const a b -> Const a b #

log1p :: Const a b -> Const a b #

expm1 :: Const a b -> Const a b #

log1pexp :: Const a b -> Const a b #

log1mexp :: Const a b -> Const a b #

Floating a => Floating (Tagged s a) 
Instance details

Defined in Data.Tagged

Methods

pi :: Tagged s a #

exp :: Tagged s a -> Tagged s a #

log :: Tagged s a -> Tagged s a #

sqrt :: Tagged s a -> Tagged s a #

(**) :: Tagged s a -> Tagged s a -> Tagged s a #

logBase :: Tagged s a -> Tagged s a -> Tagged s a #

sin :: Tagged s a -> Tagged s a #

cos :: Tagged s a -> Tagged s a #

tan :: Tagged s a -> Tagged s a #

asin :: Tagged s a -> Tagged s a #

acos :: Tagged s a -> Tagged s a #

atan :: Tagged s a -> Tagged s a #

sinh :: Tagged s a -> Tagged s a #

cosh :: Tagged s a -> Tagged s a #

tanh :: Tagged s a -> Tagged s a #

asinh :: Tagged s a -> Tagged s a #

acosh :: Tagged s a -> Tagged s a #

atanh :: Tagged s a -> Tagged s a #

log1p :: Tagged s a -> Tagged s a #

expm1 :: Tagged s a -> Tagged s a #

log1pexp :: Tagged s a -> Tagged s a #

log1mexp :: Tagged s a -> Tagged s a #

class Num a => Fractional a where #

Fractional numbers, supporting real division.

Minimal complete definition

fromRational, (recip | (/))

Methods

(/) :: a -> a -> a infixl 7 #

fractional division

recip :: a -> a #

reciprocal fraction

fromRational :: Rational -> a #

Conversion from a Rational (that is Ratio Integer). A floating literal stands for an application of fromRational to a value of type Rational, so such literals have type (Fractional a) => a.

Instances
Fractional CFloat 
Instance details

Defined in Foreign.C.Types

Fractional CDouble 
Instance details

Defined in Foreign.C.Types

Fractional Half 
Instance details

Defined in Numeric.Half

Methods

(/) :: Half -> Half -> Half #

recip :: Half -> Half #

fromRational :: Rational -> Half #

() :=> (Fractional Double) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Fractional Double

() :=> (Fractional Float) 
Instance details

Defined in Data.Constraint

Methods

ins :: () :- Fractional Float

Integral a => Fractional (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

(/) :: Ratio a -> Ratio a -> Ratio a #

recip :: Ratio a -> Ratio a #

fromRational :: Rational -> Ratio a #

RealFloat a => Fractional (Complex a)

Since: base-2.1

Instance details

Defined in Data.Complex

Methods

(/) :: Complex a -> Complex a -> Complex a #

recip :: Complex a -> Complex a #

fromRational :: Rational -> Complex a #

HasResolution a => Fractional (Fixed a)

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

(/) :: Fixed a -> Fixed a -> Fixed a #

recip :: Fixed a -> Fixed a #

fromRational :: Rational -> Fixed a #

Fractional a => Fractional (Identity a) 
Instance details

Defined in Data.Functor.Identity

(Fractional a) :=> (Fractional (Identity a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Fractional a :- Fractional (Identity a)

(Fractional a) :=> (Fractional (Const a b)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Fractional a :- Fractional (Const a b)

(Integral a) :=> (Fractional (Ratio a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: Integral a :- Fractional (Ratio a)

(RealFloat a) :=> (Fractional (Complex a)) 
Instance details

Defined in Data.Constraint

Methods

ins :: RealFloat a :- Fractional (Complex a)

Class (Fractional a) (Floating a) 
Instance details

Defined in Data.Constraint

Methods

cls :: Floating a :- Fractional a

Class (Num a) (Fractional a) 
Instance details

Defined in Data.Constraint

Methods

cls :: Fractional a :- Num a

Fractional a => Fractional (Op a b) 
Instance details

Defined in Data.Functor.Contravariant

Methods

(/) :: Op a b -> Op a b -> Op a b #

recip :: Op a b -> Op a b #

fromRational :: Rational -> Op a b #

Fractional a => Fractional (Signal domain a) # 
Instance details

Defined in Clash.Signal.Internal

Methods

(/) :: Signal domain a -> Signal domain a -> Signal domain a #

recip :: Signal domain a -> Signal domain a #

fromRational :: Rational -> Signal domain a #

Class (Real a, Fractional a) (RealFrac a) 
Instance details

Defined in Data.Constraint

Methods

cls :: RealFrac a :- (Real a, Fractional a)

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

Defined in Data.Functor.Const

Methods

(/) :: Const a b -> Const a b -> Const a b #

recip :: Const a b -> Const a b #

fromRational :: Rational -> Const a b #

Fractional a => Fractional (Tagged s a) 
Instance details

Defined in Data.Tagged

Methods

(/) :: Tagged s a -> Tagged s a -> Tagged s a #

recip :: Tagged s a -> Tagged s a #

fromRational :: Rational -> Tagged s a #

FracFixedC rep int frac => Fractional (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:

Instance details

Defined in Clash.Sized.Fixed

Methods

(/) :: Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac #

recip :: Fixed rep int frac -> Fixed rep int frac #

fromRational :: Rational -> Fixed rep int frac #

Fractional a => Fractional (DSignal domain delay a) # 
Instance details

Defined in Clash.Explicit.Signal.Delayed

Methods

(/) :: DSignal domain delay a -> DSignal domain delay a -> DSignal domain delay a #

recip :: DSignal domain delay a -> DSignal domain delay a #

fromRational :: Rational -> DSignal domain delay a #

class (Real a, Enum a) => Integral a where #

Integral numbers, supporting integer division.

Minimal complete definition

quotRem, toInteger

Methods

quot :: a -> a -> a infixl 7 #

integer division truncated toward zero

rem :: a -> a -> a