Data.Complex.Generic

Complex numbers.

Documentation

module Data.Complex.Generic.Class

data Complex a

Complex numbers in rectangular form.

Constructors

!a :+ !a infix 6

Instances

Functor Complex

Methods

fmap :: (a -> b) -> Complex a -> Complex b

(<$) :: a -> Complex b -> Complex a

Eq a => Eq (Complex a)

Methods

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

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

Floating (Complex Double)

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)

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)

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)

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)

Methods

(/) :: Complex Double -> Complex Double -> Complex Double

recip :: Complex Double -> Complex Double

fromRational :: Rational -> Complex Double

Fractional (Complex Float)

Methods

(/) :: Complex Float -> Complex Float -> Complex Float

recip :: Complex Float -> Complex Float

fromRational :: Rational -> Complex Float

Integral t => Fractional (Complex (Ratio t))

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))

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)

Methods

(/) :: Complex CFloat -> Complex CFloat -> Complex CFloat

recip :: Complex CFloat -> Complex CFloat

fromRational :: Rational -> Complex CFloat

Fractional (Complex CDouble)

Methods

(/) :: Complex CDouble -> Complex CDouble -> Complex CDouble

recip :: Complex CDouble -> Complex CDouble

fromRational :: Rational -> Complex CDouble

Data a => Data (Complex a)

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)

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)

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)

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)

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)

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)

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)

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)

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))

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)

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)

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)

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)

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)

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))

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)

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)

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)

Methods

readsPrec :: Int -> ReadS (Complex a)

readList :: ReadS [Complex a]

readPrec :: ReadPrec (Complex a)

readListPrec :: ReadPrec [Complex a]

Show a => Show (Complex a)

Methods

showsPrec :: Int -> Complex a -> ShowS

show :: Complex a -> String

showList :: [Complex a] -> ShowS

ComplexPolar (Complex Double) Double

Methods

mkPolar :: Double -> Double -> Complex Double

cis :: Double -> Complex Double

polar :: Complex Double -> (Double, Double)

magnitude :: Complex Double -> Double

phase :: Complex Double -> Double

ComplexPolar (Complex Float) Float

Methods

mkPolar :: Float -> Float -> Complex Float

cis :: Float -> Complex Float

polar :: Complex Float -> (Float, Float)

magnitude :: Complex Float -> Float

phase :: Complex Float -> Float

ComplexPolar (Complex CFloat) CFloat

Methods

mkPolar :: CFloat -> CFloat -> Complex CFloat

cis :: CFloat -> Complex CFloat

polar :: Complex CFloat -> (CFloat, CFloat)

magnitude :: Complex CFloat -> CFloat

phase :: Complex CFloat -> CFloat

ComplexPolar (Complex CDouble) CDouble

Methods

mkPolar :: CDouble -> CDouble -> Complex CDouble

cis :: CDouble -> Complex CDouble

polar :: Complex CDouble -> (CDouble, CDouble)

magnitude :: Complex CDouble -> CDouble

phase :: Complex CDouble -> CDouble

ComplexRect (Complex Double) Double

Methods

mkRect :: Double -> Double -> Complex Double

real :: Double -> Complex Double

imag :: Double -> Complex Double

rect :: Complex Double -> (Double, Double)

realPart :: Complex Double -> Double

imagPart :: Complex Double -> Double

conjugate :: Complex Double -> Complex Double

magnitudeSquared :: Complex Double -> Double

sqr :: Complex Double -> Complex Double

(.*) :: Double -> Complex Double -> Complex Double

(*.) :: Complex Double -> Double -> Complex Double

ComplexRect (Complex Float) Float

Methods

mkRect :: Float -> Float -> Complex Float

real :: Float -> Complex Float

imag :: Float -> Complex Float

rect :: Complex Float -> (Float, Float)

realPart :: Complex Float -> Float

imagPart :: Complex Float -> Float

conjugate :: Complex Float -> Complex Float

magnitudeSquared :: Complex Float -> Float

sqr :: Complex Float -> Complex Float

(.*) :: Float -> Complex Float -> Complex Float

(*.) :: Complex Float -> Float -> Complex Float

ComplexRect (Complex Int) Int

Methods

mkRect :: Int -> Int -> Complex Int

real :: Int -> Complex Int

imag :: Int -> Complex Int

rect :: Complex Int -> (Int, Int)

realPart :: Complex Int -> Int

imagPart :: Complex Int -> Int

conjugate :: Complex Int -> Complex Int

magnitudeSquared :: Complex Int -> Int

sqr :: Complex Int -> Complex Int

(.*) :: Int -> Complex Int -> Complex Int

(*.) :: Complex Int -> Int -> Complex Int

ComplexRect (Complex Int8) Int8

Methods

mkRect :: Int8 -> Int8 -> Complex Int8

real :: Int8 -> Complex Int8

imag :: Int8 -> Complex Int8

rect :: Complex Int8 -> (Int8, Int8)

realPart :: Complex Int8 -> Int8

imagPart :: Complex Int8 -> Int8

conjugate :: Complex Int8 -> Complex Int8

magnitudeSquared :: Complex Int8 -> Int8

sqr :: Complex Int8 -> Complex Int8

(.*) :: Int8 -> Complex Int8 -> Complex Int8

(*.) :: Complex Int8 -> Int8 -> Complex Int8

ComplexRect (Complex Int16) Int16

Methods

mkRect :: Int16 -> Int16 -> Complex Int16

real :: Int16 -> Complex Int16

imag :: Int16 -> Complex Int16

rect :: Complex Int16 -> (Int16, Int16)

realPart :: Complex Int16 -> Int16

imagPart :: Complex Int16 -> Int16

conjugate :: Complex Int16 -> Complex Int16

magnitudeSquared :: Complex Int16 -> Int16

sqr :: Complex Int16 -> Complex Int16

(.*) :: Int16 -> Complex Int16 -> Complex Int16

(*.) :: Complex Int16 -> Int16 -> Complex Int16

ComplexRect (Complex Int32) Int32

Methods

mkRect :: Int32 -> Int32 -> Complex Int32

real :: Int32 -> Complex Int32

imag :: Int32 -> Complex Int32

rect :: Complex Int32 -> (Int32, Int32)

realPart :: Complex Int32 -> Int32

imagPart :: Complex Int32 -> Int32

conjugate :: Complex Int32 -> Complex Int32

magnitudeSquared :: Complex Int32 -> Int32

sqr :: Complex Int32 -> Complex Int32

(.*) :: Int32 -> Complex Int32 -> Complex Int32

(*.) :: Complex Int32 -> Int32 -> Complex Int32

ComplexRect (Complex Int64) Int64

Methods

mkRect :: Int64 -> Int64 -> Complex Int64

real :: Int64 -> Complex Int64

imag :: Int64 -> Complex Int64

rect :: Complex Int64 -> (Int64, Int64)

realPart :: Complex Int64 -> Int64

imagPart :: Complex Int64 -> Int64

conjugate :: Complex Int64 -> Complex Int64

magnitudeSquared :: Complex Int64 -> Int64

sqr :: Complex Int64 -> Complex Int64

(.*) :: Int64 -> Complex Int64 -> Complex Int64

(*.) :: Complex Int64 -> Int64 -> Complex Int64

ComplexRect (Complex Integer) Integer

Methods

mkRect :: Integer -> Integer -> Complex Integer

real :: Integer -> Complex Integer

imag :: Integer -> Complex Integer

rect :: Complex Integer -> (Integer, Integer)

realPart :: Complex Integer -> Integer

imagPart :: Complex Integer -> Integer

conjugate :: Complex Integer -> Complex Integer

magnitudeSquared :: Complex Integer -> Integer

sqr :: Complex Integer -> Complex Integer

(.*) :: Integer -> Complex Integer -> Complex Integer

(*.) :: Complex Integer -> Integer -> Complex Integer

ComplexRect (Complex Word) Word

Methods

mkRect :: Word -> Word -> Complex Word

real :: Word -> Complex Word

imag :: Word -> Complex Word

rect :: Complex Word -> (Word, Word)

realPart :: Complex Word -> Word

imagPart :: Complex Word -> Word

conjugate :: Complex Word -> Complex Word

magnitudeSquared :: Complex Word -> Word

sqr :: Complex Word -> Complex Word

(.*) :: Word -> Complex Word -> Complex Word

(*.) :: Complex Word -> Word -> Complex Word

ComplexRect (Complex Word8) Word8

Methods

mkRect :: Word8 -> Word8 -> Complex Word8

real :: Word8 -> Complex Word8

imag :: Word8 -> Complex Word8

rect :: Complex Word8 -> (Word8, Word8)

realPart :: Complex Word8 -> Word8

imagPart :: Complex Word8 -> Word8

conjugate :: Complex Word8 -> Complex Word8

magnitudeSquared :: Complex Word8 -> Word8

sqr :: Complex Word8 -> Complex Word8

(.*) :: Word8 -> Complex Word8 -> Complex Word8

(*.) :: Complex Word8 -> Word8 -> Complex Word8

ComplexRect (Complex Word16) Word16

Methods

mkRect :: Word16 -> Word16 -> Complex Word16

real :: Word16 -> Complex Word16

imag :: Word16 -> Complex Word16

rect :: Complex Word16 -> (Word16, Word16)

realPart :: Complex Word16 -> Word16

imagPart :: Complex Word16 -> Word16

conjugate :: Complex Word16 -> Complex Word16

magnitudeSquared :: Complex Word16 -> Word16

sqr :: Complex Word16 -> Complex Word16

(.*) :: Word16 -> Complex Word16 -> Complex Word16

(*.) :: Complex Word16 -> Word16 -> Complex Word16

ComplexRect (Complex Word32) Word32

Methods

mkRect :: Word32 -> Word32 -> Complex Word32

real :: Word32 -> Complex Word32

imag :: Word32 -> Complex Word32

rect :: Complex Word32 -> (Word32, Word32)

realPart :: Complex Word32 -> Word32

imagPart :: Complex Word32 -> Word32

conjugate :: Complex Word32 -> Complex Word32

magnitudeSquared :: Complex Word32 -> Word32

sqr :: Complex Word32 -> Complex Word32

(.*) :: Word32 -> Complex Word32 -> Complex Word32

(*.) :: Complex Word32 -> Word32 -> Complex Word32

ComplexRect (Complex Word64) Word64

Methods

mkRect :: Word64 -> Word64 -> Complex Word64

real :: Word64 -> Complex Word64

imag :: Word64 -> Complex Word64

rect :: Complex Word64 -> (Word64, Word64)

realPart :: Complex Word64 -> Word64

imagPart :: Complex Word64 -> Word64

conjugate :: Complex Word64 -> Complex Word64

magnitudeSquared :: Complex Word64 -> Word64

sqr :: Complex Word64 -> Complex Word64

(.*) :: Word64 -> Complex Word64 -> Complex Word64

(*.) :: Complex Word64 -> Word64 -> Complex Word64

ComplexRect (Complex CFloat) CFloat

Methods

mkRect :: CFloat -> CFloat -> Complex CFloat

real :: CFloat -> Complex CFloat

imag :: CFloat -> Complex CFloat

rect :: Complex CFloat -> (CFloat, CFloat)

realPart :: Complex CFloat -> CFloat

imagPart :: Complex CFloat -> CFloat

conjugate :: Complex CFloat -> Complex CFloat

magnitudeSquared :: Complex CFloat -> CFloat

sqr :: Complex CFloat -> Complex CFloat

(.*) :: CFloat -> Complex CFloat -> Complex CFloat

(*.) :: Complex CFloat -> CFloat -> Complex CFloat

ComplexRect (Complex CDouble) CDouble

Methods

mkRect :: CDouble -> CDouble -> Complex CDouble

real :: CDouble -> Complex CDouble

imag :: CDouble -> Complex CDouble

rect :: Complex CDouble -> (CDouble, CDouble)

realPart :: Complex CDouble -> CDouble

imagPart :: Complex CDouble -> CDouble

conjugate :: Complex CDouble -> Complex CDouble

magnitudeSquared :: Complex CDouble -> CDouble

sqr :: Complex CDouble -> Complex CDouble

(.*) :: CDouble -> Complex CDouble -> Complex CDouble

(*.) :: Complex CDouble -> CDouble -> Complex CDouble

Integral t => ComplexRect (Complex (Ratio t)) (Ratio t)

Methods

mkRect :: Ratio t -> Ratio t -> Complex (Ratio t)

real :: Ratio t -> Complex (Ratio t)

imag :: Ratio t -> Complex (Ratio t)

rect :: Complex (Ratio t) -> (Ratio t, Ratio t)

realPart :: Complex (Ratio t) -> Ratio t

imagPart :: Complex (Ratio t) -> Ratio t

conjugate :: Complex (Ratio t) -> Complex (Ratio t)

magnitudeSquared :: Complex (Ratio t) -> Ratio t

sqr :: Complex (Ratio t) -> Complex (Ratio t)

(.*) :: Ratio t -> Complex (Ratio t) -> Complex (Ratio t)

(*.) :: Complex (Ratio t) -> Ratio t -> Complex (Ratio t)

HasResolution t => ComplexRect (Complex (Fixed t)) (Fixed t)

Methods

mkRect :: Fixed t -> Fixed t -> Complex (Fixed t)

real :: Fixed t -> Complex (Fixed t)

imag :: Fixed t -> Complex (Fixed t)

rect :: Complex (Fixed t) -> (Fixed t, Fixed t)

realPart :: Complex (Fixed t) -> Fixed t

imagPart :: Complex (Fixed t) -> Fixed t

conjugate :: Complex (Fixed t) -> Complex (Fixed t)

magnitudeSquared :: Complex (Fixed t) -> Fixed t

sqr :: Complex (Fixed t) -> Complex (Fixed t)

(.*) :: Fixed t -> Complex (Fixed t) -> Complex (Fixed t)

(*.) :: Complex (Fixed t) -> Fixed t -> Complex (Fixed t)

toDataComplex :: Complex r -> Complex r

Convert to Complex.

fromDataComplex :: Complex r -> Complex r

Convert from Complex.