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author Chris Cannam <cannam@all-day-breakfast.com>
date Wed, 20 Mar 2013 15:35:50 +0000
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cannam@95 3 <title>SIMD alignment and fftw_malloc - FFTW 3.3.3</title>
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cannam@95 49 <a name="SIMD-alignment-and-fftw_malloc"></a>
cannam@95 50 <a name="SIMD-alignment-and-fftw_005fmalloc"></a>
cannam@95 51 <p>
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cannam@95 57
cannam@95 58 <h3 class="section">3.1 SIMD alignment and fftw_malloc</h3>
cannam@95 59
cannam@95 60 <p>SIMD, which stands for &ldquo;Single Instruction Multiple Data,&rdquo; is a set of
cannam@95 61 special operations supported by some processors to perform a single
cannam@95 62 operation on several numbers (usually 2 or 4) simultaneously. SIMD
cannam@95 63 floating-point instructions are available on several popular CPUs:
cannam@95 64 SSE/SSE2/AVX on recent x86/x86-64 processors, AltiVec (single precision)
cannam@95 65 on some PowerPCs (Apple G4 and higher), NEON on some ARM models, and MIPS Paired Single
cannam@95 66 (currently only in FFTW 3.2.x). FFTW can be compiled to support the
cannam@95 67 SIMD instructions on any of these systems.
cannam@95 68 <a name="index-SIMD-102"></a><a name="index-SSE-103"></a><a name="index-SSE2-104"></a><a name="index-AVX-105"></a><a name="index-AltiVec-106"></a><a name="index-MIPS-PS-107"></a><a name="index-precision-108"></a>
cannam@95 69
cannam@95 70 <p>A program linking to an FFTW library compiled with SIMD support can
cannam@95 71 obtain a nonnegligible speedup for most complex and r2c/c2r
cannam@95 72 transforms. In order to obtain this speedup, however, the arrays of
cannam@95 73 complex (or real) data passed to FFTW must be specially aligned in
cannam@95 74 memory (typically 16-byte aligned), and often this alignment is more
cannam@95 75 stringent than that provided by the usual <code>malloc</code> (etc.)
cannam@95 76 allocation routines.
cannam@95 77
cannam@95 78 <p><a name="index-portability-109"></a>In order to guarantee proper alignment for SIMD, therefore, in case
cannam@95 79 your program is ever linked against a SIMD-using FFTW, we recommend
cannam@95 80 allocating your transform data with <code>fftw_malloc</code> and
cannam@95 81 de-allocating it with <code>fftw_free</code>.
cannam@95 82 <a name="index-fftw_005fmalloc-110"></a><a name="index-fftw_005ffree-111"></a>These have exactly the same interface and behavior as
cannam@95 83 <code>malloc</code>/<code>free</code>, except that for a SIMD FFTW they ensure
cannam@95 84 that the returned pointer has the necessary alignment (by calling
cannam@95 85 <code>memalign</code> or its equivalent on your OS).
cannam@95 86
cannam@95 87 <p>You are not <em>required</em> to use <code>fftw_malloc</code>. You can
cannam@95 88 allocate your data in any way that you like, from <code>malloc</code> to
cannam@95 89 <code>new</code> (in C++) to a fixed-size array declaration. If the array
cannam@95 90 happens not to be properly aligned, FFTW will not use the SIMD
cannam@95 91 extensions.
cannam@95 92 <a name="index-C_002b_002b-112"></a>
cannam@95 93 <a name="index-fftw_005falloc_005freal-113"></a><a name="index-fftw_005falloc_005fcomplex-114"></a>Since <code>fftw_malloc</code> only ever needs to be used for real and
cannam@95 94 complex arrays, we provide two convenient wrapper routines
cannam@95 95 <code>fftw_alloc_real(N)</code> and <code>fftw_alloc_complex(N)</code> that are
cannam@95 96 equivalent to <code>(double*)fftw_malloc(sizeof(double) * N)</code> and
cannam@95 97 <code>(fftw_complex*)fftw_malloc(sizeof(fftw_complex) * N)</code>,
cannam@95 98 respectively (or their equivalents in other precisions).
cannam@95 99
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