Chris@42
|
1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
|
Chris@42
|
2 <html>
|
Chris@42
|
3 <!-- This manual is for FFTW
|
Chris@42
|
4 (version 3.3.5, 30 July 2016).
|
Chris@42
|
5
|
Chris@42
|
6 Copyright (C) 2003 Matteo Frigo.
|
Chris@42
|
7
|
Chris@42
|
8 Copyright (C) 2003 Massachusetts Institute of Technology.
|
Chris@42
|
9
|
Chris@42
|
10 Permission is granted to make and distribute verbatim copies of this
|
Chris@42
|
11 manual provided the copyright notice and this permission notice are
|
Chris@42
|
12 preserved on all copies.
|
Chris@42
|
13
|
Chris@42
|
14 Permission is granted to copy and distribute modified versions of this
|
Chris@42
|
15 manual under the conditions for verbatim copying, provided that the
|
Chris@42
|
16 entire resulting derived work is distributed under the terms of a
|
Chris@42
|
17 permission notice identical to this one.
|
Chris@42
|
18
|
Chris@42
|
19 Permission is granted to copy and distribute translations of this manual
|
Chris@42
|
20 into another language, under the above conditions for modified versions,
|
Chris@42
|
21 except that this permission notice may be stated in a translation
|
Chris@42
|
22 approved by the Free Software Foundation. -->
|
Chris@42
|
23 <!-- Created by GNU Texinfo 5.2, http://www.gnu.org/software/texinfo/ -->
|
Chris@42
|
24 <head>
|
Chris@42
|
25 <title>FFTW 3.3.5: Interleaved and split arrays</title>
|
Chris@42
|
26
|
Chris@42
|
27 <meta name="description" content="FFTW 3.3.5: Interleaved and split arrays">
|
Chris@42
|
28 <meta name="keywords" content="FFTW 3.3.5: Interleaved and split arrays">
|
Chris@42
|
29 <meta name="resource-type" content="document">
|
Chris@42
|
30 <meta name="distribution" content="global">
|
Chris@42
|
31 <meta name="Generator" content="makeinfo">
|
Chris@42
|
32 <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
|
Chris@42
|
33 <link href="index.html#Top" rel="start" title="Top">
|
Chris@42
|
34 <link href="Concept-Index.html#Concept-Index" rel="index" title="Concept Index">
|
Chris@42
|
35 <link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
|
Chris@42
|
36 <link href="Guru-Interface.html#Guru-Interface" rel="up" title="Guru Interface">
|
Chris@42
|
37 <link href="Guru-vector-and-transform-sizes.html#Guru-vector-and-transform-sizes" rel="next" title="Guru vector and transform sizes">
|
Chris@42
|
38 <link href="Guru-Interface.html#Guru-Interface" rel="prev" title="Guru Interface">
|
Chris@42
|
39 <style type="text/css">
|
Chris@42
|
40 <!--
|
Chris@42
|
41 a.summary-letter {text-decoration: none}
|
Chris@42
|
42 blockquote.smallquotation {font-size: smaller}
|
Chris@42
|
43 div.display {margin-left: 3.2em}
|
Chris@42
|
44 div.example {margin-left: 3.2em}
|
Chris@42
|
45 div.indentedblock {margin-left: 3.2em}
|
Chris@42
|
46 div.lisp {margin-left: 3.2em}
|
Chris@42
|
47 div.smalldisplay {margin-left: 3.2em}
|
Chris@42
|
48 div.smallexample {margin-left: 3.2em}
|
Chris@42
|
49 div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
|
Chris@42
|
50 div.smalllisp {margin-left: 3.2em}
|
Chris@42
|
51 kbd {font-style:oblique}
|
Chris@42
|
52 pre.display {font-family: inherit}
|
Chris@42
|
53 pre.format {font-family: inherit}
|
Chris@42
|
54 pre.menu-comment {font-family: serif}
|
Chris@42
|
55 pre.menu-preformatted {font-family: serif}
|
Chris@42
|
56 pre.smalldisplay {font-family: inherit; font-size: smaller}
|
Chris@42
|
57 pre.smallexample {font-size: smaller}
|
Chris@42
|
58 pre.smallformat {font-family: inherit; font-size: smaller}
|
Chris@42
|
59 pre.smalllisp {font-size: smaller}
|
Chris@42
|
60 span.nocodebreak {white-space:nowrap}
|
Chris@42
|
61 span.nolinebreak {white-space:nowrap}
|
Chris@42
|
62 span.roman {font-family:serif; font-weight:normal}
|
Chris@42
|
63 span.sansserif {font-family:sans-serif; font-weight:normal}
|
Chris@42
|
64 ul.no-bullet {list-style: none}
|
Chris@42
|
65 -->
|
Chris@42
|
66 </style>
|
Chris@42
|
67
|
Chris@42
|
68
|
Chris@42
|
69 </head>
|
Chris@42
|
70
|
Chris@42
|
71 <body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
|
Chris@42
|
72 <a name="Interleaved-and-split-arrays"></a>
|
Chris@42
|
73 <div class="header">
|
Chris@42
|
74 <p>
|
Chris@42
|
75 Next: <a href="Guru-vector-and-transform-sizes.html#Guru-vector-and-transform-sizes" accesskey="n" rel="next">Guru vector and transform sizes</a>, Previous: <a href="Guru-Interface.html#Guru-Interface" accesskey="p" rel="prev">Guru Interface</a>, Up: <a href="Guru-Interface.html#Guru-Interface" accesskey="u" rel="up">Guru Interface</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>
|
Chris@42
|
76 </div>
|
Chris@42
|
77 <hr>
|
Chris@42
|
78 <a name="Interleaved-and-split-arrays-1"></a>
|
Chris@42
|
79 <h4 class="subsection">4.5.1 Interleaved and split arrays</h4>
|
Chris@42
|
80
|
Chris@42
|
81 <p>The guru interface supports two representations of complex numbers,
|
Chris@42
|
82 which we call the interleaved and the split format.
|
Chris@42
|
83 </p>
|
Chris@42
|
84 <p>The <em>interleaved</em> format is the same one used by the basic and
|
Chris@42
|
85 advanced interfaces, and it is documented in <a href="Complex-numbers.html#Complex-numbers">Complex numbers</a>.
|
Chris@42
|
86 In the interleaved format, you provide pointers to the real part of a
|
Chris@42
|
87 complex number, and the imaginary part understood to be stored in the
|
Chris@42
|
88 next memory location.
|
Chris@42
|
89 <a name="index-interleaved-format"></a>
|
Chris@42
|
90 </p>
|
Chris@42
|
91
|
Chris@42
|
92 <p>The <em>split</em> format allows separate pointers to the real and
|
Chris@42
|
93 imaginary parts of a complex array.
|
Chris@42
|
94 <a name="index-split-format"></a>
|
Chris@42
|
95 </p>
|
Chris@42
|
96
|
Chris@42
|
97 <p>Technically, the interleaved format is redundant, because you can
|
Chris@42
|
98 always express an interleaved array in terms of a split array with
|
Chris@42
|
99 appropriate pointers and strides. On the other hand, the interleaved
|
Chris@42
|
100 format is simpler to use, and it is common in practice. Hence, FFTW
|
Chris@42
|
101 supports it as a special case.
|
Chris@42
|
102 </p>
|
Chris@42
|
103
|
Chris@42
|
104
|
Chris@42
|
105
|
Chris@42
|
106 </body>
|
Chris@42
|
107 </html>
|