mimas::rfft_t

mimas::rfft_t< Real, Dim, TPtr > Struct Template Reference
[Fourier transformations using boost::multi_array]

Discrete fourier transform of real values using fftw. More...

#include <fourier.h>

Inheritance diagram for mimas::rfft_t< Real, Dim, TPtr >:

[legend]Collaboration diagram for mimas::rfft_t< Real, Dim, TPtr >:


Public Member Functions
boost::multi_array< std::complex< Real >, Dim >	operator() (const boost::const_multi_array_ref< Real, Dim, TPtr > &field)

Detailed Description

template<typename Real, std::size_t Dim, typename TPtr>
struct mimas::rfft_t< Real, Dim, TPtr >

Discrete fourier transform of real values using fftw.

The fourier transform of a real (multidimensional) function is point-symmetric. Thus it is sufficient to compute only half of the values of the corresponding discrete fourier transform.

If the input array is an element of $\mathbf{R}^{n_1\times n_2\times \ldots\times n_d}$ , then the result will be element of $\mathbf{C}^{n_1\times n_2\times\ldots\times (n_d/2+1)}$ .

In this implementation $n_d$ always must be even, so that no additional information for a later inverse transform is required!

See also:: rfft

Definition at line 94 of file fourier.h.

Member Function Documentation

template<typename Real, std::size_t Dim, typename TPtr>

boost::multi_array< std::complex< Real >, Dim > mimas::rfft_t< Real, Dim, TPtr >::operator() ( const boost::const_multi_array_ref< Real, Dim, TPtr > & field )