accelerate-fft-0.14.0.0: FFT using the Accelerate library

Safe HaskellNone

Data.Array.Accelerate.Math.Complex

Synopsis

Documentation

data Complex a

Constructors

!a :+ !a 

Instances

Typeable1 Complex 
(Lift Exp a, Elt (Plain a)) => Lift Exp (Complex a) 
Elt a => Unlift Exp (Complex (Exp a)) 
(RealFloat a, Unbox a) => Vector Vector (Complex a) 
(RealFloat a, Unbox a) => MVector MVector (Complex a) 
Eq a => Eq (Complex a) 
(Elt a, IsFloating a, RealFloat a) => Floating (Exp (Complex a)) 
RealFloat a => Floating (Complex a) 
(Elt a, IsFloating a) => Fractional (Exp (Complex a)) 
RealFloat a => Fractional (Complex a) 
Data a => Data (Complex a) 
(Elt a, IsFloating a) => Num (Exp (Complex a)) 
RealFloat a => Num (Complex a) 
Read a => Read (Complex a) 
Show a => Show (Complex a) 
IsTuple (Complex a) 
Elt a => Elt (Complex a) 
(RealFloat a, Unbox a) => Unbox (Complex a) 

magnitude :: (Elt a, IsFloating a) => Exp (Complex a) -> Exp aSource

Non-negative magnitude of a complex number

phase :: (Elt a, IsFloating a) => Exp (Complex a) -> Exp aSource

The phase of a complex number, in the range (-pi, pi]. If the magnitude is zero, then so is the phase.

real :: Elt a => Exp (Complex a) -> Exp aSource

Return the real part of a complex number

imag :: Elt a => Exp (Complex a) -> Exp aSource

Return the imaginary part of a complex number

conj :: (Elt a, IsNum a) => Exp (Complex a) -> Exp (Complex a)Source

Return the complex conjugate of a complex number, defined as 

 conj(Z) = X - iY