diff src/fftw-3.3.3/doc/html/SIMD-alignment-and-fftw_005fmalloc.html @ 10:37bf6b4a2645

Add FFTW3
author Chris Cannam
date Wed, 20 Mar 2013 15:35:50 +0000
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+<title>SIMD alignment and fftw_malloc - FFTW 3.3.3</title>
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+
+<h3 class="section">3.1 SIMD alignment and fftw_malloc</h3>
+
+<p>SIMD, which stands for &ldquo;Single Instruction Multiple Data,&rdquo; is a set of
+special operations supported by some processors to perform a single
+operation on several numbers (usually 2 or 4) simultaneously.  SIMD
+floating-point instructions are available on several popular CPUs:
+SSE/SSE2/AVX on recent x86/x86-64 processors, AltiVec (single precision)
+on some PowerPCs (Apple G4 and higher), NEON on some ARM models, and MIPS Paired Single
+(currently only in FFTW 3.2.x).  FFTW can be compiled to support the
+SIMD instructions on any of these systems. 
+<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>
+
+   <p>A program linking to an FFTW library compiled with SIMD support can
+obtain a nonnegligible speedup for most complex and r2c/c2r
+transforms.  In order to obtain this speedup, however, the arrays of
+complex (or real) data passed to FFTW must be specially aligned in
+memory (typically 16-byte aligned), and often this alignment is more
+stringent than that provided by the usual <code>malloc</code> (etc.) 
+allocation routines.
+
+   <p><a name="index-portability-109"></a>In order to guarantee proper alignment for SIMD, therefore, in case
+your program is ever linked against a SIMD-using FFTW, we recommend
+allocating your transform data with <code>fftw_malloc</code> and
+de-allocating it with <code>fftw_free</code>. 
+<a name="index-fftw_005fmalloc-110"></a><a name="index-fftw_005ffree-111"></a>These have exactly the same interface and behavior as
+<code>malloc</code>/<code>free</code>, except that for a SIMD FFTW they ensure
+that the returned pointer has the necessary alignment (by calling
+<code>memalign</code> or its equivalent on your OS).
+
+   <p>You are not <em>required</em> to use <code>fftw_malloc</code>.  You can
+allocate your data in any way that you like, from <code>malloc</code> to
+<code>new</code> (in C++) to a fixed-size array declaration.  If the array
+happens not to be properly aligned, FFTW will not use the SIMD
+extensions. 
+<a name="index-C_002b_002b-112"></a>
+<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
+complex arrays, we provide two convenient wrapper routines
+<code>fftw_alloc_real(N)</code> and <code>fftw_alloc_complex(N)</code> that are
+equivalent to <code>(double*)fftw_malloc(sizeof(double) * N)</code> and
+<code>(fftw_complex*)fftw_malloc(sizeof(fftw_complex) * N)</code>,
+respectively (or their equivalents in other precisions).
+
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