FFTs on real and Hermitian data sequences

The routines documented here compute discrete Fourier transforms (DFTs) of sequences of real numbers or of Hermitian sequences in either single or double precision arithmetic. The DFTs are computed using a highly-efficient FFT algorithm. Hermitian sequences are represented in a condensed form that is described in Introduction to FFTs. The DFT of a real sequence results in a Hermitian sequence; the DFT of a Hermitian sequence is a real sequence.

Please note that prior to Release 2.0 of ACML the routine ZDFFT/CSFFT and ZDFFTM/CSFFTM returned results that were scaled by a factor 0.5 compared with the currently returned results.

• 1D Real FFT: One-dimensional FFT on real data
• Multi-1D Real FFT: Multiple One-dimensional FFTs on real data
• 1D Hermitian FFT: One-dimensional FFT on Hermitian data
• Multi-1D Hermitian FFT: Multiple One-dimensional FFTs on Hermitian data