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			133 lines
		
	
	
		
			6.3 KiB
		
	
	
	
		
			HTML
		
	
	
	
	
	
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|  | <!-- This manual is for FFTW
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|  | (version 3.3.10, 10 December 2020). | ||
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|  | Copyright (C) 2003 Matteo Frigo. | ||
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|  | Copyright (C) 2003 Massachusetts Institute of Technology. | ||
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|  | <title>SIMD alignment and fftw_malloc (FFTW 3.3.10)</title> | ||
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|  | <span id="SIMD-alignment-and-fftw_005fmalloc"></span><div class="header"> | ||
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|  | Next: <a href="Multi_002ddimensional-Array-Format.html" accesskey="n" rel="next">Multi-dimensional Array Format</a>, Previous: <a href="Other-Important-Topics.html" accesskey="p" rel="prev">Other Important Topics</a>, Up: <a href="Other-Important-Topics.html" accesskey="u" rel="up">Other Important Topics</a>   [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html" title="Index" rel="index">Index</a>]</p> | ||
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|  | <span id="SIMD-alignment-and-fftw_005fmalloc-1"></span><h3 class="section">3.1 SIMD alignment and fftw_malloc</h3> | ||
|  | 
 | ||
|  | <p>SIMD, which stands for “Single Instruction Multiple Data,” 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/AVX2/AVX512/KCVI on some x86/x86-64 processors, AltiVec and | ||
|  | VSX on some POWER/PowerPCs, NEON on some ARM models.  FFTW can be | ||
|  | compiled to support the SIMD instructions on any of these systems. | ||
|  | <span id="index-SIMD-1"></span> | ||
|  | <span id="index-SSE"></span> | ||
|  | <span id="index-SSE2"></span> | ||
|  | <span id="index-AVX"></span> | ||
|  | <span id="index-AVX2"></span> | ||
|  | <span id="index-AVX512"></span> | ||
|  | <span id="index-AltiVec"></span> | ||
|  | <span id="index-VSX"></span> | ||
|  | <span id="index-precision-2"></span> | ||
|  | </p> | ||
|  | 
 | ||
|  | <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> | ||
|  | <span id="index-portability"></span> | ||
|  | <p>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>. | ||
|  | <span id="index-fftw_005fmalloc-1"></span> | ||
|  | <span id="index-fftw_005ffree-1"></span> | ||
|  | 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> | ||
|  | <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. | ||
|  | <span id="index-C_002b_002b-1"></span> | ||
|  | </p> | ||
|  | <span id="index-fftw_005falloc_005freal"></span> | ||
|  | <span id="index-fftw_005falloc_005fcomplex-1"></span> | ||
|  | <p>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). | ||
|  | </p> | ||
|  | <hr> | ||
|  | <div class="header"> | ||
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|  | Next: <a href="Multi_002ddimensional-Array-Format.html" accesskey="n" rel="next">Multi-dimensional Array Format</a>, Previous: <a href="Other-Important-Topics.html" accesskey="p" rel="prev">Other Important Topics</a>, Up: <a href="Other-Important-Topics.html" accesskey="u" rel="up">Other Important Topics</a>   [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html" title="Index" rel="index">Index</a>]</p> | ||
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