Copyright	(c) Claude Heiland-Allen 2012
License	BSD3
Maintainer	claude@mathr.co.uk
Stability	unstable
Portability	DeriveDataTypeable, TemplateHaskell, MultiParamTypeClasses, FlexibleInstances
Safe Haskell	None
Language	Haskell98

Data.Complex.Generic

Description

Complex numbers.

Synopsis

Documentation

module Data.Complex.Generic.Class

data Complex a Source #

Complex numbers in rectangular form.

Constructors

!a :+ !a infix 6

Instances

Functor Complex Source #
Methods fmap :: (a -> b) -> Complex a -> Complex b # (<$) :: a -> Complex b -> Complex a #
Eq a => Eq (Complex a) Source #
Methods (==) :: Complex a -> Complex a -> Bool # (/=) :: Complex a -> Complex a -> Bool #
Floating (Complex Double) Source #
Methods pi :: Complex Double # exp :: Complex Double -> Complex Double # log :: Complex Double -> Complex Double # sqrt :: Complex Double -> Complex Double # (**) :: Complex Double -> Complex Double -> Complex Double # logBase :: Complex Double -> Complex Double -> Complex Double # sin :: Complex Double -> Complex Double # cos :: Complex Double -> Complex Double # tan :: Complex Double -> Complex Double # asin :: Complex Double -> Complex Double # acos :: Complex Double -> Complex Double # atan :: Complex Double -> Complex Double # sinh :: Complex Double -> Complex Double # cosh :: Complex Double -> Complex Double # tanh :: Complex Double -> Complex Double # asinh :: Complex Double -> Complex Double # acosh :: Complex Double -> Complex Double # atanh :: Complex Double -> Complex Double # log1p :: Complex Double -> Complex Double # expm1 :: Complex Double -> Complex Double # log1pexp :: Complex Double -> Complex Double # log1mexp :: Complex Double -> Complex Double #
Floating (Complex Float) Source #
Methods pi :: Complex Float # exp :: Complex Float -> Complex Float # log :: Complex Float -> Complex Float # sqrt :: Complex Float -> Complex Float # (**) :: Complex Float -> Complex Float -> Complex Float # logBase :: Complex Float -> Complex Float -> Complex Float # sin :: Complex Float -> Complex Float # cos :: Complex Float -> Complex Float # tan :: Complex Float -> Complex Float # asin :: Complex Float -> Complex Float # acos :: Complex Float -> Complex Float # atan :: Complex Float -> Complex Float # sinh :: Complex Float -> Complex Float # cosh :: Complex Float -> Complex Float # tanh :: Complex Float -> Complex Float # asinh :: Complex Float -> Complex Float # acosh :: Complex Float -> Complex Float # atanh :: Complex Float -> Complex Float # log1p :: Complex Float -> Complex Float # expm1 :: Complex Float -> Complex Float # log1pexp :: Complex Float -> Complex Float # log1mexp :: Complex Float -> Complex Float #
Floating (Complex CFloat) Source #
Methods pi :: Complex CFloat # exp :: Complex CFloat -> Complex CFloat # log :: Complex CFloat -> Complex CFloat # sqrt :: Complex CFloat -> Complex CFloat # (**) :: Complex CFloat -> Complex CFloat -> Complex CFloat # logBase :: Complex CFloat -> Complex CFloat -> Complex CFloat # sin :: Complex CFloat -> Complex CFloat # cos :: Complex CFloat -> Complex CFloat # tan :: Complex CFloat -> Complex CFloat # asin :: Complex CFloat -> Complex CFloat # acos :: Complex CFloat -> Complex CFloat # atan :: Complex CFloat -> Complex CFloat # sinh :: Complex CFloat -> Complex CFloat # cosh :: Complex CFloat -> Complex CFloat # tanh :: Complex CFloat -> Complex CFloat # asinh :: Complex CFloat -> Complex CFloat # acosh :: Complex CFloat -> Complex CFloat # atanh :: Complex CFloat -> Complex CFloat # log1p :: Complex CFloat -> Complex CFloat # expm1 :: Complex CFloat -> Complex CFloat # log1pexp :: Complex CFloat -> Complex CFloat # log1mexp :: Complex CFloat -> Complex CFloat #
Floating (Complex CDouble) Source #
Methods pi :: Complex CDouble # exp :: Complex CDouble -> Complex CDouble # log :: Complex CDouble -> Complex CDouble # sqrt :: Complex CDouble -> Complex CDouble # (**) :: Complex CDouble -> Complex CDouble -> Complex CDouble # logBase :: Complex CDouble -> Complex CDouble -> Complex CDouble # sin :: Complex CDouble -> Complex CDouble # cos :: Complex CDouble -> Complex CDouble # tan :: Complex CDouble -> Complex CDouble # asin :: Complex CDouble -> Complex CDouble # acos :: Complex CDouble -> Complex CDouble # atan :: Complex CDouble -> Complex CDouble # sinh :: Complex CDouble -> Complex CDouble # cosh :: Complex CDouble -> Complex CDouble # tanh :: Complex CDouble -> Complex CDouble # asinh :: Complex CDouble -> Complex CDouble # acosh :: Complex CDouble -> Complex CDouble # atanh :: Complex CDouble -> Complex CDouble # log1p :: Complex CDouble -> Complex CDouble # expm1 :: Complex CDouble -> Complex CDouble # log1pexp :: Complex CDouble -> Complex CDouble # log1mexp :: Complex CDouble -> Complex CDouble #
Fractional (Complex Double) Source #
Methods (/) :: Complex Double -> Complex Double -> Complex Double # recip :: Complex Double -> Complex Double # fromRational :: Rational -> Complex Double #
Fractional (Complex Float) Source #
Methods (/) :: Complex Float -> Complex Float -> Complex Float # recip :: Complex Float -> Complex Float # fromRational :: Rational -> Complex Float #
Integral t => Fractional (Complex (Ratio t)) Source #
Methods (/) :: Complex (Ratio t) -> Complex (Ratio t) -> Complex (Ratio t) # recip :: Complex (Ratio t) -> Complex (Ratio t) # fromRational :: Rational -> Complex (Ratio t) #
HasResolution t => Fractional (Complex (Fixed t)) Source #
Methods (/) :: Complex (Fixed t) -> Complex (Fixed t) -> Complex (Fixed t) # recip :: Complex (Fixed t) -> Complex (Fixed t) # fromRational :: Rational -> Complex (Fixed t) #
Fractional (Complex CFloat) Source #
Methods (/) :: Complex CFloat -> Complex CFloat -> Complex CFloat # recip :: Complex CFloat -> Complex CFloat # fromRational :: Rational -> Complex CFloat #
Fractional (Complex CDouble) Source #
Methods (/) :: Complex CDouble -> Complex CDouble -> Complex CDouble # recip :: Complex CDouble -> Complex CDouble # fromRational :: Rational -> Complex CDouble #
Data a => Data (Complex a) Source #
Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Complex a -> c (Complex a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Complex a) # toConstr :: Complex a -> Constr # dataTypeOf :: Complex a -> DataType # dataCast1 :: Typeable (* -> ) t => (forall d. Data d => c (t d)) -> Maybe (c (Complex a)) # dataCast2 :: Typeable ( -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Complex a)) # gmapT :: (forall b. Data b => b -> b) -> Complex a -> Complex a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Complex a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Complex a -> r # gmapQ :: (forall d. Data d => d -> u) -> Complex a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Complex a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Complex a -> m (Complex a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Complex a -> m (Complex a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Complex a -> m (Complex a) #
Num (Complex Double) Source #
Methods (+) :: Complex Double -> Complex Double -> Complex Double # (-) :: Complex Double -> Complex Double -> Complex Double # (*) :: Complex Double -> Complex Double -> Complex Double # negate :: Complex Double -> Complex Double # abs :: Complex Double -> Complex Double # signum :: Complex Double -> Complex Double # fromInteger :: Integer -> Complex Double #
Num (Complex Float) Source #
Methods (+) :: Complex Float -> Complex Float -> Complex Float # (-) :: Complex Float -> Complex Float -> Complex Float # (*) :: Complex Float -> Complex Float -> Complex Float # negate :: Complex Float -> Complex Float # abs :: Complex Float -> Complex Float # signum :: Complex Float -> Complex Float # fromInteger :: Integer -> Complex Float #
Num (Complex Int) Source #
Methods (+) :: Complex Int -> Complex Int -> Complex Int # (-) :: Complex Int -> Complex Int -> Complex Int # (*) :: Complex Int -> Complex Int -> Complex Int # negate :: Complex Int -> Complex Int # abs :: Complex Int -> Complex Int # signum :: Complex Int -> Complex Int # fromInteger :: Integer -> Complex Int #
Num (Complex Int8) Source #
Methods (+) :: Complex Int8 -> Complex Int8 -> Complex Int8 # (-) :: Complex Int8 -> Complex Int8 -> Complex Int8 # (*) :: Complex Int8 -> Complex Int8 -> Complex Int8 # negate :: Complex Int8 -> Complex Int8 # abs :: Complex Int8 -> Complex Int8 # signum :: Complex Int8 -> Complex Int8 # fromInteger :: Integer -> Complex Int8 #
Num (Complex Int16) Source #
Methods (+) :: Complex Int16 -> Complex Int16 -> Complex Int16 # (-) :: Complex Int16 -> Complex Int16 -> Complex Int16 # (*) :: Complex Int16 -> Complex Int16 -> Complex Int16 # negate :: Complex Int16 -> Complex Int16 # abs :: Complex Int16 -> Complex Int16 # signum :: Complex Int16 -> Complex Int16 # fromInteger :: Integer -> Complex Int16 #
Num (Complex Int32) Source #
Methods (+) :: Complex Int32 -> Complex Int32 -> Complex Int32 # (-) :: Complex Int32 -> Complex Int32 -> Complex Int32 # (*) :: Complex Int32 -> Complex Int32 -> Complex Int32 # negate :: Complex Int32 -> Complex Int32 # abs :: Complex Int32 -> Complex Int32 # signum :: Complex Int32 -> Complex Int32 # fromInteger :: Integer -> Complex Int32 #
Num (Complex Int64) Source #
Methods (+) :: Complex Int64 -> Complex Int64 -> Complex Int64 # (-) :: Complex Int64 -> Complex Int64 -> Complex Int64 # (*) :: Complex Int64 -> Complex Int64 -> Complex Int64 # negate :: Complex Int64 -> Complex Int64 # abs :: Complex Int64 -> Complex Int64 # signum :: Complex Int64 -> Complex Int64 # fromInteger :: Integer -> Complex Int64 #
Num (Complex Integer) Source #
Methods (+) :: Complex Integer -> Complex Integer -> Complex Integer # (-) :: Complex Integer -> Complex Integer -> Complex Integer # (*) :: Complex Integer -> Complex Integer -> Complex Integer # negate :: Complex Integer -> Complex Integer # abs :: Complex Integer -> Complex Integer # signum :: Complex Integer -> Complex Integer # fromInteger :: Integer -> Complex Integer #
Integral t => Num (Complex (Ratio t)) Source #
Methods (+) :: Complex (Ratio t) -> Complex (Ratio t) -> Complex (Ratio t) # (-) :: Complex (Ratio t) -> Complex (Ratio t) -> Complex (Ratio t) # (*) :: Complex (Ratio t) -> Complex (Ratio t) -> Complex (Ratio t) # negate :: Complex (Ratio t) -> Complex (Ratio t) # abs :: Complex (Ratio t) -> Complex (Ratio t) # signum :: Complex (Ratio t) -> Complex (Ratio t) # fromInteger :: Integer -> Complex (Ratio t) #
Num (Complex Word) Source #
Methods (+) :: Complex Word -> Complex Word -> Complex Word # (-) :: Complex Word -> Complex Word -> Complex Word # (*) :: Complex Word -> Complex Word -> Complex Word # negate :: Complex Word -> Complex Word # abs :: Complex Word -> Complex Word # signum :: Complex Word -> Complex Word # fromInteger :: Integer -> Complex Word #
Num (Complex Word8) Source #
Methods (+) :: Complex Word8 -> Complex Word8 -> Complex Word8 # (-) :: Complex Word8 -> Complex Word8 -> Complex Word8 # (*) :: Complex Word8 -> Complex Word8 -> Complex Word8 # negate :: Complex Word8 -> Complex Word8 # abs :: Complex Word8 -> Complex Word8 # signum :: Complex Word8 -> Complex Word8 # fromInteger :: Integer -> Complex Word8 #
Num (Complex Word16) Source #
Methods (+) :: Complex Word16 -> Complex Word16 -> Complex Word16 # (-) :: Complex Word16 -> Complex Word16 -> Complex Word16 # (*) :: Complex Word16 -> Complex Word16 -> Complex Word16 # negate :: Complex Word16 -> Complex Word16 # abs :: Complex Word16 -> Complex Word16 # signum :: Complex Word16 -> Complex Word16 # fromInteger :: Integer -> Complex Word16 #
Num (Complex Word32) Source #
Methods (+) :: Complex Word32 -> Complex Word32 -> Complex Word32 # (-) :: Complex Word32 -> Complex Word32 -> Complex Word32 # (*) :: Complex Word32 -> Complex Word32 -> Complex Word32 # negate :: Complex Word32 -> Complex Word32 # abs :: Complex Word32 -> Complex Word32 # signum :: Complex Word32 -> Complex Word32 # fromInteger :: Integer -> Complex Word32 #
Num (Complex Word64) Source #
Methods (+) :: Complex Word64 -> Complex Word64 -> Complex Word64 # (-) :: Complex Word64 -> Complex Word64 -> Complex Word64 # (*) :: Complex Word64 -> Complex Word64 -> Complex Word64 # negate :: Complex Word64 -> Complex Word64 # abs :: Complex Word64 -> Complex Word64 # signum :: Complex Word64 -> Complex Word64 # fromInteger :: Integer -> Complex Word64 #
HasResolution t => Num (Complex (Fixed t)) Source #
Methods (+) :: Complex (Fixed t) -> Complex (Fixed t) -> Complex (Fixed t) # (-) :: Complex (Fixed t) -> Complex (Fixed t) -> Complex (Fixed t) # (*) :: Complex (Fixed t) -> Complex (Fixed t) -> Complex (Fixed t) # negate :: Complex (Fixed t) -> Complex (Fixed t) # abs :: Complex (Fixed t) -> Complex (Fixed t) # signum :: Complex (Fixed t) -> Complex (Fixed t) # fromInteger :: Integer -> Complex (Fixed t) #
Num (Complex CFloat) Source #
Methods (+) :: Complex CFloat -> Complex CFloat -> Complex CFloat # (-) :: Complex CFloat -> Complex CFloat -> Complex CFloat # (*) :: Complex CFloat -> Complex CFloat -> Complex CFloat # negate :: Complex CFloat -> Complex CFloat # abs :: Complex CFloat -> Complex CFloat # signum :: Complex CFloat -> Complex CFloat # fromInteger :: Integer -> Complex CFloat #
Num (Complex CDouble) Source #
Methods (+) :: Complex CDouble -> Complex CDouble -> Complex CDouble # (-) :: Complex CDouble -> Complex CDouble -> Complex CDouble # (*) :: Complex CDouble -> Complex CDouble -> Complex CDouble # negate :: Complex CDouble -> Complex CDouble # abs :: Complex CDouble -> Complex CDouble # signum :: Complex CDouble -> Complex CDouble # fromInteger :: Integer -> Complex CDouble #
Read a => Read (Complex a) Source #
Methods readsPrec :: Int -> ReadS (Complex a) # readList :: ReadS [Complex a] # readPrec :: ReadPrec (Complex a) # readListPrec :: ReadPrec [Complex a] #
Show a => Show (Complex a) Source #
Methods showsPrec :: Int -> Complex a -> ShowS # show :: Complex a -> String # showList :: [Complex a] -> ShowS #
ComplexPolar (Complex Double) Double Source #
Methods mkPolar :: Double -> Double -> Complex Double Source # cis :: Double -> Complex Double Source # polar :: Complex Double -> (Double, Double) Source # magnitude :: Complex Double -> Double Source # phase :: Complex Double -> Double Source #
ComplexPolar (Complex Float) Float Source #
Methods mkPolar :: Float -> Float -> Complex Float Source # cis :: Float -> Complex Float Source # polar :: Complex Float -> (Float, Float) Source # magnitude :: Complex Float -> Float Source # phase :: Complex Float -> Float Source #
ComplexPolar (Complex CFloat) CFloat Source #
Methods mkPolar :: CFloat -> CFloat -> Complex CFloat Source # cis :: CFloat -> Complex CFloat Source # polar :: Complex CFloat -> (CFloat, CFloat) Source # magnitude :: Complex CFloat -> CFloat Source # phase :: Complex CFloat -> CFloat Source #
ComplexPolar (Complex CDouble) CDouble Source #
Methods mkPolar :: CDouble -> CDouble -> Complex CDouble Source # cis :: CDouble -> Complex CDouble Source # polar :: Complex CDouble -> (CDouble, CDouble) Source # magnitude :: Complex CDouble -> CDouble Source # phase :: Complex CDouble -> CDouble Source #
ComplexRect (Complex Double) Double Source #
Methods mkRect :: Double -> Double -> Complex Double Source # real :: Double -> Complex Double Source # imag :: Double -> Complex Double Source # rect :: Complex Double -> (Double, Double) Source # realPart :: Complex Double -> Double Source # imagPart :: Complex Double -> Double Source # conjugate :: Complex Double -> Complex Double Source # magnitudeSquared :: Complex Double -> Double Source # sqr :: Complex Double -> Complex Double Source # (.) :: Double -> Complex Double -> Complex Double Source # (.) :: Complex Double -> Double -> Complex Double Source #
ComplexRect (Complex Float) Float Source #
Methods mkRect :: Float -> Float -> Complex Float Source # real :: Float -> Complex Float Source # imag :: Float -> Complex Float Source # rect :: Complex Float -> (Float, Float) Source # realPart :: Complex Float -> Float Source # imagPart :: Complex Float -> Float Source # conjugate :: Complex Float -> Complex Float Source # magnitudeSquared :: Complex Float -> Float Source # sqr :: Complex Float -> Complex Float Source # (.) :: Float -> Complex Float -> Complex Float Source # (.) :: Complex Float -> Float -> Complex Float Source #
ComplexRect (Complex Int) Int Source #
Methods mkRect :: Int -> Int -> Complex Int Source # real :: Int -> Complex Int Source # imag :: Int -> Complex Int Source # rect :: Complex Int -> (Int, Int) Source # realPart :: Complex Int -> Int Source # imagPart :: Complex Int -> Int Source # conjugate :: Complex Int -> Complex Int Source # magnitudeSquared :: Complex Int -> Int Source # sqr :: Complex Int -> Complex Int Source # (.) :: Int -> Complex Int -> Complex Int Source # (.) :: Complex Int -> Int -> Complex Int Source #
ComplexRect (Complex Int8) Int8 Source #
Methods mkRect :: Int8 -> Int8 -> Complex Int8 Source # real :: Int8 -> Complex Int8 Source # imag :: Int8 -> Complex Int8 Source # rect :: Complex Int8 -> (Int8, Int8) Source # realPart :: Complex Int8 -> Int8 Source # imagPart :: Complex Int8 -> Int8 Source # conjugate :: Complex Int8 -> Complex Int8 Source # magnitudeSquared :: Complex Int8 -> Int8 Source # sqr :: Complex Int8 -> Complex Int8 Source # (.) :: Int8 -> Complex Int8 -> Complex Int8 Source # (.) :: Complex Int8 -> Int8 -> Complex Int8 Source #
ComplexRect (Complex Int16) Int16 Source #
Methods mkRect :: Int16 -> Int16 -> Complex Int16 Source # real :: Int16 -> Complex Int16 Source # imag :: Int16 -> Complex Int16 Source # rect :: Complex Int16 -> (Int16, Int16) Source # realPart :: Complex Int16 -> Int16 Source # imagPart :: Complex Int16 -> Int16 Source # conjugate :: Complex Int16 -> Complex Int16 Source # magnitudeSquared :: Complex Int16 -> Int16 Source # sqr :: Complex Int16 -> Complex Int16 Source # (.) :: Int16 -> Complex Int16 -> Complex Int16 Source # (.) :: Complex Int16 -> Int16 -> Complex Int16 Source #
ComplexRect (Complex Int32) Int32 Source #
Methods mkRect :: Int32 -> Int32 -> Complex Int32 Source # real :: Int32 -> Complex Int32 Source # imag :: Int32 -> Complex Int32 Source # rect :: Complex Int32 -> (Int32, Int32) Source # realPart :: Complex Int32 -> Int32 Source # imagPart :: Complex Int32 -> Int32 Source # conjugate :: Complex Int32 -> Complex Int32 Source # magnitudeSquared :: Complex Int32 -> Int32 Source # sqr :: Complex Int32 -> Complex Int32 Source # (.) :: Int32 -> Complex Int32 -> Complex Int32 Source # (.) :: Complex Int32 -> Int32 -> Complex Int32 Source #
ComplexRect (Complex Int64) Int64 Source #
Methods mkRect :: Int64 -> Int64 -> Complex Int64 Source # real :: Int64 -> Complex Int64 Source # imag :: Int64 -> Complex Int64 Source # rect :: Complex Int64 -> (Int64, Int64) Source # realPart :: Complex Int64 -> Int64 Source # imagPart :: Complex Int64 -> Int64 Source # conjugate :: Complex Int64 -> Complex Int64 Source # magnitudeSquared :: Complex Int64 -> Int64 Source # sqr :: Complex Int64 -> Complex Int64 Source # (.) :: Int64 -> Complex Int64 -> Complex Int64 Source # (.) :: Complex Int64 -> Int64 -> Complex Int64 Source #
ComplexRect (Complex Integer) Integer Source #
Methods mkRect :: Integer -> Integer -> Complex Integer Source # real :: Integer -> Complex Integer Source # imag :: Integer -> Complex Integer Source # rect :: Complex Integer -> (Integer, Integer) Source # realPart :: Complex Integer -> Integer Source # imagPart :: Complex Integer -> Integer Source # conjugate :: Complex Integer -> Complex Integer Source # magnitudeSquared :: Complex Integer -> Integer Source # sqr :: Complex Integer -> Complex Integer Source # (.) :: Integer -> Complex Integer -> Complex Integer Source # (.) :: Complex Integer -> Integer -> Complex Integer Source #
ComplexRect (Complex Word) Word Source #
Methods mkRect :: Word -> Word -> Complex Word Source # real :: Word -> Complex Word Source # imag :: Word -> Complex Word Source # rect :: Complex Word -> (Word, Word) Source # realPart :: Complex Word -> Word Source # imagPart :: Complex Word -> Word Source # conjugate :: Complex Word -> Complex Word Source # magnitudeSquared :: Complex Word -> Word Source # sqr :: Complex Word -> Complex Word Source # (.) :: Word -> Complex Word -> Complex Word Source # (.) :: Complex Word -> Word -> Complex Word Source #
ComplexRect (Complex Word8) Word8 Source #
Methods mkRect :: Word8 -> Word8 -> Complex Word8 Source # real :: Word8 -> Complex Word8 Source # imag :: Word8 -> Complex Word8 Source # rect :: Complex Word8 -> (Word8, Word8) Source # realPart :: Complex Word8 -> Word8 Source # imagPart :: Complex Word8 -> Word8 Source # conjugate :: Complex Word8 -> Complex Word8 Source # magnitudeSquared :: Complex Word8 -> Word8 Source # sqr :: Complex Word8 -> Complex Word8 Source # (.) :: Word8 -> Complex Word8 -> Complex Word8 Source # (.) :: Complex Word8 -> Word8 -> Complex Word8 Source #
ComplexRect (Complex Word16) Word16 Source #
Methods mkRect :: Word16 -> Word16 -> Complex Word16 Source # real :: Word16 -> Complex Word16 Source # imag :: Word16 -> Complex Word16 Source # rect :: Complex Word16 -> (Word16, Word16) Source # realPart :: Complex Word16 -> Word16 Source # imagPart :: Complex Word16 -> Word16 Source # conjugate :: Complex Word16 -> Complex Word16 Source # magnitudeSquared :: Complex Word16 -> Word16 Source # sqr :: Complex Word16 -> Complex Word16 Source # (.) :: Word16 -> Complex Word16 -> Complex Word16 Source # (.) :: Complex Word16 -> Word16 -> Complex Word16 Source #
ComplexRect (Complex Word32) Word32 Source #
Methods mkRect :: Word32 -> Word32 -> Complex Word32 Source # real :: Word32 -> Complex Word32 Source # imag :: Word32 -> Complex Word32 Source # rect :: Complex Word32 -> (Word32, Word32) Source # realPart :: Complex Word32 -> Word32 Source # imagPart :: Complex Word32 -> Word32 Source # conjugate :: Complex Word32 -> Complex Word32 Source # magnitudeSquared :: Complex Word32 -> Word32 Source # sqr :: Complex Word32 -> Complex Word32 Source # (.) :: Word32 -> Complex Word32 -> Complex Word32 Source # (.) :: Complex Word32 -> Word32 -> Complex Word32 Source #
ComplexRect (Complex Word64) Word64 Source #
Methods mkRect :: Word64 -> Word64 -> Complex Word64 Source # real :: Word64 -> Complex Word64 Source # imag :: Word64 -> Complex Word64 Source # rect :: Complex Word64 -> (Word64, Word64) Source # realPart :: Complex Word64 -> Word64 Source # imagPart :: Complex Word64 -> Word64 Source # conjugate :: Complex Word64 -> Complex Word64 Source # magnitudeSquared :: Complex Word64 -> Word64 Source # sqr :: Complex Word64 -> Complex Word64 Source # (.) :: Word64 -> Complex Word64 -> Complex Word64 Source # (.) :: Complex Word64 -> Word64 -> Complex Word64 Source #
ComplexRect (Complex CFloat) CFloat Source #
Methods mkRect :: CFloat -> CFloat -> Complex CFloat Source # real :: CFloat -> Complex CFloat Source # imag :: CFloat -> Complex CFloat Source # rect :: Complex CFloat -> (CFloat, CFloat) Source # realPart :: Complex CFloat -> CFloat Source # imagPart :: Complex CFloat -> CFloat Source # conjugate :: Complex CFloat -> Complex CFloat Source # magnitudeSquared :: Complex CFloat -> CFloat Source # sqr :: Complex CFloat -> Complex CFloat Source # (.) :: CFloat -> Complex CFloat -> Complex CFloat Source # (.) :: Complex CFloat -> CFloat -> Complex CFloat Source #
ComplexRect (Complex CDouble) CDouble Source #
Methods mkRect :: CDouble -> CDouble -> Complex CDouble Source # real :: CDouble -> Complex CDouble Source # imag :: CDouble -> Complex CDouble Source # rect :: Complex CDouble -> (CDouble, CDouble) Source # realPart :: Complex CDouble -> CDouble Source # imagPart :: Complex CDouble -> CDouble Source # conjugate :: Complex CDouble -> Complex CDouble Source # magnitudeSquared :: Complex CDouble -> CDouble Source # sqr :: Complex CDouble -> Complex CDouble Source # (.) :: CDouble -> Complex CDouble -> Complex CDouble Source # (.) :: Complex CDouble -> CDouble -> Complex CDouble Source #
Integral t => ComplexRect (Complex (Ratio t)) (Ratio t) Source #
Methods mkRect :: Ratio t -> Ratio t -> Complex (Ratio t) Source # real :: Ratio t -> Complex (Ratio t) Source # imag :: Ratio t -> Complex (Ratio t) Source # rect :: Complex (Ratio t) -> (Ratio t, Ratio t) Source # realPart :: Complex (Ratio t) -> Ratio t Source # imagPart :: Complex (Ratio t) -> Ratio t Source # conjugate :: Complex (Ratio t) -> Complex (Ratio t) Source # magnitudeSquared :: Complex (Ratio t) -> Ratio t Source # sqr :: Complex (Ratio t) -> Complex (Ratio t) Source # (.) :: Ratio t -> Complex (Ratio t) -> Complex (Ratio t) Source # (.) :: Complex (Ratio t) -> Ratio t -> Complex (Ratio t) Source #
HasResolution t => ComplexRect (Complex (Fixed t)) (Fixed t) Source #
Methods mkRect :: Fixed t -> Fixed t -> Complex (Fixed t) Source # real :: Fixed t -> Complex (Fixed t) Source # imag :: Fixed t -> Complex (Fixed t) Source # rect :: Complex (Fixed t) -> (Fixed t, Fixed t) Source # realPart :: Complex (Fixed t) -> Fixed t Source # imagPart :: Complex (Fixed t) -> Fixed t Source # conjugate :: Complex (Fixed t) -> Complex (Fixed t) Source # magnitudeSquared :: Complex (Fixed t) -> Fixed t Source # sqr :: Complex (Fixed t) -> Complex (Fixed t) Source # (.) :: Fixed t -> Complex (Fixed t) -> Complex (Fixed t) Source # (.) :: Complex (Fixed t) -> Fixed t -> Complex (Fixed t) Source #

toDataComplex :: Complex r -> Complex r Source #

Convert to Complex.

fromDataComplex :: Complex r -> Complex r Source #

Convert from Complex.