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SIMD, which stands for “Single Instruction Multiple Data,” is a set of Chris@19: special operations supported by some processors to perform a single Chris@19: operation on several numbers (usually 2 or 4) simultaneously. SIMD Chris@19: floating-point instructions are available on several popular CPUs: Chris@19: SSE/SSE2/AVX on recent x86/x86-64 processors, AltiVec (single precision) Chris@19: on some PowerPCs (Apple G4 and higher), NEON on some ARM models, and MIPS Paired Single Chris@19: (currently only in FFTW 3.2.x). FFTW can be compiled to support the Chris@19: SIMD instructions on any of these systems. Chris@19: Chris@19: Chris@19:
A program linking to an FFTW library compiled with SIMD support can
Chris@19: obtain a nonnegligible speedup for most complex and r2c/c2r
Chris@19: transforms. In order to obtain this speedup, however, the arrays of
Chris@19: complex (or real) data passed to FFTW must be specially aligned in
Chris@19: memory (typically 16-byte aligned), and often this alignment is more
Chris@19: stringent than that provided by the usual malloc (etc.)
Chris@19: allocation routines.
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In order to guarantee proper alignment for SIMD, therefore, in case
Chris@19: your program is ever linked against a SIMD-using FFTW, we recommend
Chris@19: allocating your transform data with fftw_malloc and
Chris@19: de-allocating it with fftw_free.
Chris@19: These have exactly the same interface and behavior as
Chris@19: malloc/free, except that for a SIMD FFTW they ensure
Chris@19: that the returned pointer has the necessary alignment (by calling
Chris@19: memalign or its equivalent on your OS).
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You are not required to use fftw_malloc. You can
Chris@19: allocate your data in any way that you like, from malloc to
Chris@19: new (in C++) to a fixed-size array declaration. If the array
Chris@19: happens not to be properly aligned, FFTW will not use the SIMD
Chris@19: extensions.
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Chris@19: Since fftw_malloc only ever needs to be used for real and
Chris@19: complex arrays, we provide two convenient wrapper routines
Chris@19: fftw_alloc_real(N) and fftw_alloc_complex(N) that are
Chris@19: equivalent to (double*)fftw_malloc(sizeof(double) * N) and
Chris@19: (fftw_complex*)fftw_malloc(sizeof(fftw_complex) * N),
Chris@19: respectively (or their equivalents in other precisions).
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