c++ – Allocate 3D Array for FFTW using fftw_malloc

I am currently trying to improve the performance of my multithreaded FFTW implementation. In the documentation of fftw3 I read that for best-possible performance, the fftw_malloc function should be used to allocate in- and output data of the DFT.

Since I am dealing with large 3D arrays of size 256*256*256, I have to create them on the heap with

const unsigned int RES = 256;

V = new std::complex<double>[RES][RES][RES];

And after initialization, I create multithreaded (in-place) fftw_plans for the 3D DFT transforms according to

int N_Threads = omp_get_max_threads();

fftw_complex *input_V = reinterpret_cast<fftw_complex*>(opr.V);
fftw_plan FORWARD_V = fftw_plan_dft_3d(RES, RES, RES, input_V, input_V, FFTW_FORWARD, FFTW_MEASURE);
fftw_plan BACKWARD_V = fftw_plan_dft_3d(RES, RES, RES, input_V, input_V, FFTW_BACKWARD, FFTW_MEASURE);

My question now is: How do I create these plans using fftw_malloc instead ?

In the fftw3 documentation I can only find

fftw_complex *in;
in = (fftw_complex*) fftw_malloc(sizeof(fftw_complex) * N);

which I understand as a 1D example. Do I have to project my 3D array or is the use of fftw_malloc not possible/advisable in this case?

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