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1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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2 <html>
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3 <!-- This manual is for FFTW
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4 (version 3.3.8, 24 May 2018).
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5
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6 Copyright (C) 2003 Matteo Frigo.
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7
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8 Copyright (C) 2003 Massachusetts Institute of Technology.
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9
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10 Permission is granted to make and distribute verbatim copies of this
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11 manual provided the copyright notice and this permission notice are
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12 preserved on all copies.
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13
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14 Permission is granted to copy and distribute modified versions of this
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15 manual under the conditions for verbatim copying, provided that the
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16 entire resulting derived work is distributed under the terms of a
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17 permission notice identical to this one.
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18
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19 Permission is granted to copy and distribute translations of this manual
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20 into another language, under the above conditions for modified versions,
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21 except that this permission notice may be stated in a translation
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22 approved by the Free Software Foundation. -->
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23 <!-- Created by GNU Texinfo 6.3, http://www.gnu.org/software/texinfo/ -->
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24 <head>
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25 <title>FFTW 3.3.8: SIMD alignment and fftw_malloc</title>
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26
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27 <meta name="description" content="FFTW 3.3.8: SIMD alignment and fftw_malloc">
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28 <meta name="keywords" content="FFTW 3.3.8: SIMD alignment and fftw_malloc">
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34 <link href="Concept-Index.html#Concept-Index" rel="index" title="Concept Index">
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35 <link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
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36 <link href="Other-Important-Topics.html#Other-Important-Topics" rel="up" title="Other Important Topics">
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37 <link href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format" rel="next" title="Multi-dimensional Array Format">
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64 -->
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65 </style>
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66
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67
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68 </head>
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69
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70 <body lang="en">
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71 <a name="SIMD-alignment-and-fftw_005fmalloc"></a>
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72 <div class="header">
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73 <p>
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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> [<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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75 </div>
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76 <hr>
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77 <a name="SIMD-alignment-and-fftw_005fmalloc-1"></a>
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78 <h3 class="section">3.1 SIMD alignment and fftw_malloc</h3>
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79
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80 <p>SIMD, which stands for “Single Instruction Multiple Data,” is a set of
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81 special operations supported by some processors to perform a single
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82 operation on several numbers (usually 2 or 4) simultaneously. SIMD
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83 floating-point instructions are available on several popular CPUs:
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84 SSE/SSE2/AVX/AVX2/AVX512/KCVI on some x86/x86-64 processors, AltiVec and
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85 VSX on some POWER/PowerPCs, NEON on some ARM models. FFTW can be
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86 compiled to support the SIMD instructions on any of these systems.
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87 <a name="index-SIMD-1"></a>
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88 <a name="index-SSE"></a>
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89 <a name="index-SSE2"></a>
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90 <a name="index-AVX"></a>
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91 <a name="index-AVX2"></a>
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92 <a name="index-AVX512"></a>
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93 <a name="index-AltiVec"></a>
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94 <a name="index-VSX"></a>
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95 <a name="index-precision-2"></a>
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96 </p>
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97
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98 <p>A program linking to an FFTW library compiled with SIMD support can
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99 obtain a nonnegligible speedup for most complex and r2c/c2r
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100 transforms. In order to obtain this speedup, however, the arrays of
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101 complex (or real) data passed to FFTW must be specially aligned in
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102 memory (typically 16-byte aligned), and often this alignment is more
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103 stringent than that provided by the usual <code>malloc</code> (etc.)
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104 allocation routines.
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105 </p>
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106 <a name="index-portability"></a>
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107 <p>In order to guarantee proper alignment for SIMD, therefore, in case
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108 your program is ever linked against a SIMD-using FFTW, we recommend
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109 allocating your transform data with <code>fftw_malloc</code> and
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110 de-allocating it with <code>fftw_free</code>.
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111 <a name="index-fftw_005fmalloc-1"></a>
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112 <a name="index-fftw_005ffree-1"></a>
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113 These have exactly the same interface and behavior as
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114 <code>malloc</code>/<code>free</code>, except that for a SIMD FFTW they ensure
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115 that the returned pointer has the necessary alignment (by calling
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116 <code>memalign</code> or its equivalent on your OS).
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117 </p>
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118 <p>You are not <em>required</em> to use <code>fftw_malloc</code>. You can
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119 allocate your data in any way that you like, from <code>malloc</code> to
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120 <code>new</code> (in C++) to a fixed-size array declaration. If the array
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121 happens not to be properly aligned, FFTW will not use the SIMD
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122 extensions.
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123 <a name="index-C_002b_002b-1"></a>
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124 </p>
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125 <a name="index-fftw_005falloc_005freal"></a>
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126 <a name="index-fftw_005falloc_005fcomplex-1"></a>
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127 <p>Since <code>fftw_malloc</code> only ever needs to be used for real and
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128 complex arrays, we provide two convenient wrapper routines
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129 <code>fftw_alloc_real(N)</code> and <code>fftw_alloc_complex(N)</code> that are
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130 equivalent to <code>(double*)fftw_malloc(sizeof(double) * N)</code> and
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131 <code>(fftw_complex*)fftw_malloc(sizeof(fftw_complex) * N)</code>,
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132 respectively (or their equivalents in other precisions).
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133 </p>
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134 <hr>
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135 <div class="header">
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136 <p>
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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> [<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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138 </div>
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139
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140
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141
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142 </body>
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143 </html>
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