Data.Array.Accelerate.Math.FFT

For performance, compile against the foreign library bindings (using any number of '-fllvm-ptx', and '-fllvm-cpu' for the accelerate-llvm-ptx, and accelerate-llvm-native backends, respectively).

Documentation

data Mode

Constructors

Forward

Forward DFT

Reverse

Inverse DFT, un-normalised

Inverse

Inverse DFT, normalised

Instances

Eq Mode

Defined in Data.Array.Accelerate.Math.FFT.Mode

Methods

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

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

Show Mode

Defined in Data.Array.Accelerate.Math.FFT.Mode

Methods

showsPrec :: Int -> Mode -> ShowS

show :: Mode -> String

showList :: [Mode] -> ShowS

class (RealFloat a, FromIntegral Int a, Elt (Complex a)) => Numeric a

Minimal complete definition

numericR

Instances

Numeric Double

Defined in Data.Array.Accelerate.Math.FFT.Type

Methods

numericR :: NumericR Double

Numeric Float

Defined in Data.Array.Accelerate.Math.FFT.Type

Methods

numericR :: NumericR Float

fft :: forall sh e. (Shape sh, Slice sh, Numeric e) => Mode -> Acc (Array (sh :. Int) (Complex e)) -> Acc (Array (sh :. Int) (Complex e))

Discrete Fourier Transform along the innermost dimension of an array.

Notes for FFI implementations:

• fftw supports arrays of dimension 1-5
• cuFFT supports arrays of dimension 1-3

The pure implementation will be used otherwise.

fft1D :: forall e. Numeric e => Mode -> Acc (Array DIM1 (Complex e)) -> Acc (Array DIM1 (Complex e))

Discrete Fourier Transform of a vector.

fft2D :: forall e. Numeric e => Mode -> Acc (Array DIM2 (Complex e)) -> Acc (Array DIM2 (Complex e))

Discrete Fourier Transform of a matrix.

fft3D :: forall e. Numeric e => Mode -> Acc (Array DIM3 (Complex e)) -> Acc (Array DIM3 (Complex e))

Discrete Fourier Transform of a 3D array.