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Current fftw source
author Chris Cannam <cannam@all-day-breakfast.com>
date Tue, 18 Oct 2016 13:40:26 +0100
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cannam@127 25 <title>FFTW 3.3.5: SIMD alignment and fftw_malloc</title>
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cannam@127 72 <a name="SIMD-alignment-and-fftw_005fmalloc"></a>
cannam@127 73 <div class="header">
cannam@127 74 <p>
cannam@127 75 Next: <a href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format" accesskey="n" rel="next">Multi-dimensional Array Format</a>, Previous: <a href="Other-Important-Topics.html#Other-Important-Topics" accesskey="p" rel="prev">Other Important Topics</a>, Up: <a href="Other-Important-Topics.html#Other-Important-Topics" accesskey="u" rel="up">Other Important Topics</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
cannam@127 76 </div>
cannam@127 77 <hr>
cannam@127 78 <a name="SIMD-alignment-and-fftw_005fmalloc-1"></a>
cannam@127 79 <h3 class="section">3.1 SIMD alignment and fftw_malloc</h3>
cannam@127 80
cannam@127 81 <p>SIMD, which stands for &ldquo;Single Instruction Multiple Data,&rdquo; is a set of
cannam@127 82 special operations supported by some processors to perform a single
cannam@127 83 operation on several numbers (usually 2 or 4) simultaneously. SIMD
cannam@127 84 floating-point instructions are available on several popular CPUs:
cannam@127 85 SSE/SSE2/AVX/AVX2/AVX512/KCVI on some x86/x86-64 processors, AltiVec and
cannam@127 86 VSX on some POWER/PowerPCs, NEON on some ARM models. FFTW can be
cannam@127 87 compiled to support the SIMD instructions on any of these systems.
cannam@127 88 <a name="index-SIMD-1"></a>
cannam@127 89 <a name="index-SSE"></a>
cannam@127 90 <a name="index-SSE2"></a>
cannam@127 91 <a name="index-AVX"></a>
cannam@127 92 <a name="index-AVX2"></a>
cannam@127 93 <a name="index-AVX512"></a>
cannam@127 94 <a name="index-AltiVec"></a>
cannam@127 95 <a name="index-VSX"></a>
cannam@127 96 <a name="index-precision-2"></a>
cannam@127 97 </p>
cannam@127 98
cannam@127 99 <p>A program linking to an FFTW library compiled with SIMD support can
cannam@127 100 obtain a nonnegligible speedup for most complex and r2c/c2r
cannam@127 101 transforms. In order to obtain this speedup, however, the arrays of
cannam@127 102 complex (or real) data passed to FFTW must be specially aligned in
cannam@127 103 memory (typically 16-byte aligned), and often this alignment is more
cannam@127 104 stringent than that provided by the usual <code>malloc</code> (etc.)
cannam@127 105 allocation routines.
cannam@127 106 </p>
cannam@127 107 <a name="index-portability"></a>
cannam@127 108 <p>In order to guarantee proper alignment for SIMD, therefore, in case
cannam@127 109 your program is ever linked against a SIMD-using FFTW, we recommend
cannam@127 110 allocating your transform data with <code>fftw_malloc</code> and
cannam@127 111 de-allocating it with <code>fftw_free</code>.
cannam@127 112 <a name="index-fftw_005fmalloc-1"></a>
cannam@127 113 <a name="index-fftw_005ffree-1"></a>
cannam@127 114 These have exactly the same interface and behavior as
cannam@127 115 <code>malloc</code>/<code>free</code>, except that for a SIMD FFTW they ensure
cannam@127 116 that the returned pointer has the necessary alignment (by calling
cannam@127 117 <code>memalign</code> or its equivalent on your OS).
cannam@127 118 </p>
cannam@127 119 <p>You are not <em>required</em> to use <code>fftw_malloc</code>. You can
cannam@127 120 allocate your data in any way that you like, from <code>malloc</code> to
cannam@127 121 <code>new</code> (in C++) to a fixed-size array declaration. If the array
cannam@127 122 happens not to be properly aligned, FFTW will not use the SIMD
cannam@127 123 extensions.
cannam@127 124 <a name="index-C_002b_002b-1"></a>
cannam@127 125 </p>
cannam@127 126 <a name="index-fftw_005falloc_005freal"></a>
cannam@127 127 <a name="index-fftw_005falloc_005fcomplex-1"></a>
cannam@127 128 <p>Since <code>fftw_malloc</code> only ever needs to be used for real and
cannam@127 129 complex arrays, we provide two convenient wrapper routines
cannam@127 130 <code>fftw_alloc_real(N)</code> and <code>fftw_alloc_complex(N)</code> that are
cannam@127 131 equivalent to <code>(double*)fftw_malloc(sizeof(double) * N)</code> and
cannam@127 132 <code>(fftw_complex*)fftw_malloc(sizeof(fftw_complex) * N)</code>,
cannam@127 133 respectively (or their equivalents in other precisions).
cannam@127 134 </p>
cannam@127 135 <hr>
cannam@127 136 <div class="header">
cannam@127 137 <p>
cannam@127 138 Next: <a href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format" accesskey="n" rel="next">Multi-dimensional Array Format</a>, Previous: <a href="Other-Important-Topics.html#Other-Important-Topics" accesskey="p" rel="prev">Other Important Topics</a>, Up: <a href="Other-Important-Topics.html#Other-Important-Topics" accesskey="u" rel="up">Other Important Topics</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
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