Copyright	[2018..2020] Trevor L. McDonell
License	BSD-style (see the file LICENSE)
Maintainer	Trevor L. McDonell <trevor.mcdonell@gmail.com>
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Array.Accelerate.Linear.Conjugate

Contents

Orphan instances

Description

Involutive rings

Synopsis

class Num a => Conjugate a where
- conjugate :: a -> a
class Conjugate a => TrivialConjugate a

Documentation

class Num a => Conjugate a where #

An involutive ring

Minimal complete definition

Nothing

Methods

conjugate :: a -> a #

Conjugate a value. This defaults to the trivial involution.

>>> conjugate (1 :+ 2)
1.0 :+ (-2.0)

>>> conjugate 1
1

Instances

Conjugate Double
Instance details Defined in Linear.Conjugate Methods conjugate :: Double -> Double #
Conjugate Float
Instance details Defined in Linear.Conjugate Methods conjugate :: Float -> Float #
Conjugate Int
Instance details Defined in Linear.Conjugate Methods conjugate :: Int -> Int #
Conjugate Int8
Instance details Defined in Linear.Conjugate Methods conjugate :: Int8 -> Int8 #
Conjugate Int16
Instance details Defined in Linear.Conjugate Methods conjugate :: Int16 -> Int16 #
Conjugate Int32
Instance details Defined in Linear.Conjugate Methods conjugate :: Int32 -> Int32 #
Conjugate Int64
Instance details Defined in Linear.Conjugate Methods conjugate :: Int64 -> Int64 #
Conjugate Integer
Instance details Defined in Linear.Conjugate Methods conjugate :: Integer -> Integer #
Conjugate Word
Instance details Defined in Linear.Conjugate Methods conjugate :: Word -> Word #
Conjugate Word8
Instance details Defined in Linear.Conjugate Methods conjugate :: Word8 -> Word8 #
Conjugate Word16
Instance details Defined in Linear.Conjugate Methods conjugate :: Word16 -> Word16 #
Conjugate Word32
Instance details Defined in Linear.Conjugate Methods conjugate :: Word32 -> Word32 #
Conjugate Word64
Instance details Defined in Linear.Conjugate Methods conjugate :: Word64 -> Word64 #
Conjugate CDouble
Instance details Defined in Linear.Conjugate Methods conjugate :: CDouble -> CDouble #
Conjugate CFloat
Instance details Defined in Linear.Conjugate Methods conjugate :: CFloat -> CFloat #
Conjugate (Exp Double) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Double -> Exp Double #
Conjugate (Exp Float) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Float -> Exp Float #
Conjugate (Exp Int) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Int -> Exp Int #
Conjugate (Exp Int8) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Int8 -> Exp Int8 #
Conjugate (Exp Int16) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Int16 -> Exp Int16 #
Conjugate (Exp Int32) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Int32 -> Exp Int32 #
Conjugate (Exp Int64) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Int64 -> Exp Int64 #
Conjugate (Exp Word) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Word -> Exp Word #
Conjugate (Exp Word8) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Word8 -> Exp Word8 #
Conjugate (Exp Word16) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Word16 -> Exp Word16 #
Conjugate (Exp Word32) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Word32 -> Exp Word32 #
Conjugate (Exp Word64) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Word64 -> Exp Word64 #
Conjugate (Exp Half) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp Half -> Exp Half #
Conjugate (Exp CDouble) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp CDouble -> Exp CDouble #
Conjugate (Exp CFloat) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp CFloat -> Exp CFloat #
(Conjugate (Exp a), RealFloat a, Elt (Complex a)) => Conjugate (Exp (Complex a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate Methods conjugate :: Exp (Complex a) -> Exp (Complex a) #
(RealFloat a, Conjugate (Exp a)) => Conjugate (Exp (Quaternion a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Quaternion Methods conjugate :: Exp (Quaternion a) -> Exp (Quaternion a) #
(Conjugate a, RealFloat a) => Conjugate (Complex a)
Instance details Defined in Linear.Conjugate Methods conjugate :: Complex a -> Complex a #
(Conjugate a, RealFloat a) => Conjugate (Quaternion a)
Instance details Defined in Linear.Quaternion Methods conjugate :: Quaternion a -> Quaternion a #

class Conjugate a => TrivialConjugate a #

Requires and provides a default definition such that

conjugate = id

Instances

TrivialConjugate Double
Instance details Defined in Linear.Conjugate
TrivialConjugate Float
Instance details Defined in Linear.Conjugate
TrivialConjugate Int
Instance details Defined in Linear.Conjugate
TrivialConjugate Int8
Instance details Defined in Linear.Conjugate
TrivialConjugate Int16
Instance details Defined in Linear.Conjugate
TrivialConjugate Int32
Instance details Defined in Linear.Conjugate
TrivialConjugate Int64
Instance details Defined in Linear.Conjugate
TrivialConjugate Integer
Instance details Defined in Linear.Conjugate
TrivialConjugate Word
Instance details Defined in Linear.Conjugate
TrivialConjugate Word8
Instance details Defined in Linear.Conjugate
TrivialConjugate Word16
Instance details Defined in Linear.Conjugate
TrivialConjugate Word32
Instance details Defined in Linear.Conjugate
TrivialConjugate Word64
Instance details Defined in Linear.Conjugate
TrivialConjugate CDouble
Instance details Defined in Linear.Conjugate
TrivialConjugate CFloat
Instance details Defined in Linear.Conjugate
TrivialConjugate (Exp Double) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Float) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Int) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Int8) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Int16) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Int32) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Int64) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Word) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Word8) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Word16) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Word32) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Word64) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp Half) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp CDouble) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate
TrivialConjugate (Exp CFloat) Source #
Instance details Defined in Data.Array.Accelerate.Linear.Conjugate

Orphan instances

Conjugate (Exp Double) Source #
Instance details Methods conjugate :: Exp Double -> Exp Double #
Conjugate (Exp Float) Source #
Instance details Methods conjugate :: Exp Float -> Exp Float #
Conjugate (Exp Int) Source #
Instance details Methods conjugate :: Exp Int -> Exp Int #
Conjugate (Exp Int8) Source #
Instance details Methods conjugate :: Exp Int8 -> Exp Int8 #
Conjugate (Exp Int16) Source #
Instance details Methods conjugate :: Exp Int16 -> Exp Int16 #
Conjugate (Exp Int32) Source #
Instance details Methods conjugate :: Exp Int32 -> Exp Int32 #
Conjugate (Exp Int64) Source #
Instance details Methods conjugate :: Exp Int64 -> Exp Int64 #
Conjugate (Exp Word) Source #
Instance details Methods conjugate :: Exp Word -> Exp Word #
Conjugate (Exp Word8) Source #
Instance details Methods conjugate :: Exp Word8 -> Exp Word8 #
Conjugate (Exp Word16) Source #
Instance details Methods conjugate :: Exp Word16 -> Exp Word16 #
Conjugate (Exp Word32) Source #
Instance details Methods conjugate :: Exp Word32 -> Exp Word32 #
Conjugate (Exp Word64) Source #
Instance details Methods conjugate :: Exp Word64 -> Exp Word64 #
Conjugate (Exp Half) Source #
Instance details Methods conjugate :: Exp Half -> Exp Half #
Conjugate (Exp CDouble) Source #
Instance details Methods conjugate :: Exp CDouble -> Exp CDouble #
Conjugate (Exp CFloat) Source #
Instance details Methods conjugate :: Exp CFloat -> Exp CFloat #
(Conjugate (Exp a), RealFloat a, Elt (Complex a)) => Conjugate (Exp (Complex a)) Source #
Instance details Methods conjugate :: Exp (Complex a) -> Exp (Complex a) #
TrivialConjugate (Exp Double) Source #
Instance details
TrivialConjugate (Exp Float) Source #
Instance details
TrivialConjugate (Exp Int) Source #
Instance details
TrivialConjugate (Exp Int8) Source #
Instance details
TrivialConjugate (Exp Int16) Source #
Instance details
TrivialConjugate (Exp Int32) Source #
Instance details
TrivialConjugate (Exp Int64) Source #
Instance details
TrivialConjugate (Exp Word) Source #
Instance details
TrivialConjugate (Exp Word8) Source #
Instance details
TrivialConjugate (Exp Word16) Source #
Instance details
TrivialConjugate (Exp Word32) Source #
Instance details
TrivialConjugate (Exp Word64) Source #
Instance details
TrivialConjugate (Exp Half) Source #
Instance details
TrivialConjugate (Exp CDouble) Source #
Instance details
TrivialConjugate (Exp CFloat) Source #
Instance details

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