annotate src/fftw-3.3.8/doc/html/SIMD-alignment-and-fftw_005fmalloc.html @ 167:bd3cc4d1df30

Add FFTW 3.3.8 source, and a Linux build
author Chris Cannam <cannam@all-day-breakfast.com>
date Tue, 19 Nov 2019 14:52:55 +0000
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cannam@167 6 Copyright (C) 2003 Matteo Frigo.
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cannam@167 25 <title>FFTW 3.3.8: SIMD alignment and fftw_malloc</title>
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cannam@167 70 <body lang="en">
cannam@167 71 <a name="SIMD-alignment-and-fftw_005fmalloc"></a>
cannam@167 72 <div class="header">
cannam@167 73 <p>
cannam@167 74 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@167 75 </div>
cannam@167 76 <hr>
cannam@167 77 <a name="SIMD-alignment-and-fftw_005fmalloc-1"></a>
cannam@167 78 <h3 class="section">3.1 SIMD alignment and fftw_malloc</h3>
cannam@167 79
cannam@167 80 <p>SIMD, which stands for &ldquo;Single Instruction Multiple Data,&rdquo; is a set of
cannam@167 81 special operations supported by some processors to perform a single
cannam@167 82 operation on several numbers (usually 2 or 4) simultaneously. SIMD
cannam@167 83 floating-point instructions are available on several popular CPUs:
cannam@167 84 SSE/SSE2/AVX/AVX2/AVX512/KCVI on some x86/x86-64 processors, AltiVec and
cannam@167 85 VSX on some POWER/PowerPCs, NEON on some ARM models. FFTW can be
cannam@167 86 compiled to support the SIMD instructions on any of these systems.
cannam@167 87 <a name="index-SIMD-1"></a>
cannam@167 88 <a name="index-SSE"></a>
cannam@167 89 <a name="index-SSE2"></a>
cannam@167 90 <a name="index-AVX"></a>
cannam@167 91 <a name="index-AVX2"></a>
cannam@167 92 <a name="index-AVX512"></a>
cannam@167 93 <a name="index-AltiVec"></a>
cannam@167 94 <a name="index-VSX"></a>
cannam@167 95 <a name="index-precision-2"></a>
cannam@167 96 </p>
cannam@167 97
cannam@167 98 <p>A program linking to an FFTW library compiled with SIMD support can
cannam@167 99 obtain a nonnegligible speedup for most complex and r2c/c2r
cannam@167 100 transforms. In order to obtain this speedup, however, the arrays of
cannam@167 101 complex (or real) data passed to FFTW must be specially aligned in
cannam@167 102 memory (typically 16-byte aligned), and often this alignment is more
cannam@167 103 stringent than that provided by the usual <code>malloc</code> (etc.)
cannam@167 104 allocation routines.
cannam@167 105 </p>
cannam@167 106 <a name="index-portability"></a>
cannam@167 107 <p>In order to guarantee proper alignment for SIMD, therefore, in case
cannam@167 108 your program is ever linked against a SIMD-using FFTW, we recommend
cannam@167 109 allocating your transform data with <code>fftw_malloc</code> and
cannam@167 110 de-allocating it with <code>fftw_free</code>.
cannam@167 111 <a name="index-fftw_005fmalloc-1"></a>
cannam@167 112 <a name="index-fftw_005ffree-1"></a>
cannam@167 113 These have exactly the same interface and behavior as
cannam@167 114 <code>malloc</code>/<code>free</code>, except that for a SIMD FFTW they ensure
cannam@167 115 that the returned pointer has the necessary alignment (by calling
cannam@167 116 <code>memalign</code> or its equivalent on your OS).
cannam@167 117 </p>
cannam@167 118 <p>You are not <em>required</em> to use <code>fftw_malloc</code>. You can
cannam@167 119 allocate your data in any way that you like, from <code>malloc</code> to
cannam@167 120 <code>new</code> (in C++) to a fixed-size array declaration. If the array
cannam@167 121 happens not to be properly aligned, FFTW will not use the SIMD
cannam@167 122 extensions.
cannam@167 123 <a name="index-C_002b_002b-1"></a>
cannam@167 124 </p>
cannam@167 125 <a name="index-fftw_005falloc_005freal"></a>
cannam@167 126 <a name="index-fftw_005falloc_005fcomplex-1"></a>
cannam@167 127 <p>Since <code>fftw_malloc</code> only ever needs to be used for real and
cannam@167 128 complex arrays, we provide two convenient wrapper routines
cannam@167 129 <code>fftw_alloc_real(N)</code> and <code>fftw_alloc_complex(N)</code> that are
cannam@167 130 equivalent to <code>(double*)fftw_malloc(sizeof(double) * N)</code> and
cannam@167 131 <code>(fftw_complex*)fftw_malloc(sizeof(fftw_complex) * N)</code>,
cannam@167 132 respectively (or their equivalents in other precisions).
cannam@167 133 </p>
cannam@167 134 <hr>
cannam@167 135 <div class="header">
cannam@167 136 <p>
cannam@167 137 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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