cannam@127
|
1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
|
cannam@127
|
2 <html>
|
cannam@127
|
3 <!-- This manual is for FFTW
|
cannam@127
|
4 (version 3.3.5, 30 July 2016).
|
cannam@127
|
5
|
cannam@127
|
6 Copyright (C) 2003 Matteo Frigo.
|
cannam@127
|
7
|
cannam@127
|
8 Copyright (C) 2003 Massachusetts Institute of Technology.
|
cannam@127
|
9
|
cannam@127
|
10 Permission is granted to make and distribute verbatim copies of this
|
cannam@127
|
11 manual provided the copyright notice and this permission notice are
|
cannam@127
|
12 preserved on all copies.
|
cannam@127
|
13
|
cannam@127
|
14 Permission is granted to copy and distribute modified versions of this
|
cannam@127
|
15 manual under the conditions for verbatim copying, provided that the
|
cannam@127
|
16 entire resulting derived work is distributed under the terms of a
|
cannam@127
|
17 permission notice identical to this one.
|
cannam@127
|
18
|
cannam@127
|
19 Permission is granted to copy and distribute translations of this manual
|
cannam@127
|
20 into another language, under the above conditions for modified versions,
|
cannam@127
|
21 except that this permission notice may be stated in a translation
|
cannam@127
|
22 approved by the Free Software Foundation. -->
|
cannam@127
|
23 <!-- Created by GNU Texinfo 5.2, http://www.gnu.org/software/texinfo/ -->
|
cannam@127
|
24 <head>
|
cannam@127
|
25 <title>FFTW 3.3.5: Guru Real-data DFTs</title>
|
cannam@127
|
26
|
cannam@127
|
27 <meta name="description" content="FFTW 3.3.5: Guru Real-data DFTs">
|
cannam@127
|
28 <meta name="keywords" content="FFTW 3.3.5: Guru Real-data DFTs">
|
cannam@127
|
29 <meta name="resource-type" content="document">
|
cannam@127
|
30 <meta name="distribution" content="global">
|
cannam@127
|
31 <meta name="Generator" content="makeinfo">
|
cannam@127
|
32 <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
|
cannam@127
|
33 <link href="index.html#Top" rel="start" title="Top">
|
cannam@127
|
34 <link href="Concept-Index.html#Concept-Index" rel="index" title="Concept Index">
|
cannam@127
|
35 <link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
|
cannam@127
|
36 <link href="Guru-Interface.html#Guru-Interface" rel="up" title="Guru Interface">
|
cannam@127
|
37 <link href="Guru-Real_002dto_002dreal-Transforms.html#Guru-Real_002dto_002dreal-Transforms" rel="next" title="Guru Real-to-real Transforms">
|
cannam@127
|
38 <link href="Guru-Complex-DFTs.html#Guru-Complex-DFTs" rel="prev" title="Guru Complex DFTs">
|
cannam@127
|
39 <style type="text/css">
|
cannam@127
|
40 <!--
|
cannam@127
|
41 a.summary-letter {text-decoration: none}
|
cannam@127
|
42 blockquote.smallquotation {font-size: smaller}
|
cannam@127
|
43 div.display {margin-left: 3.2em}
|
cannam@127
|
44 div.example {margin-left: 3.2em}
|
cannam@127
|
45 div.indentedblock {margin-left: 3.2em}
|
cannam@127
|
46 div.lisp {margin-left: 3.2em}
|
cannam@127
|
47 div.smalldisplay {margin-left: 3.2em}
|
cannam@127
|
48 div.smallexample {margin-left: 3.2em}
|
cannam@127
|
49 div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
|
cannam@127
|
50 div.smalllisp {margin-left: 3.2em}
|
cannam@127
|
51 kbd {font-style:oblique}
|
cannam@127
|
52 pre.display {font-family: inherit}
|
cannam@127
|
53 pre.format {font-family: inherit}
|
cannam@127
|
54 pre.menu-comment {font-family: serif}
|
cannam@127
|
55 pre.menu-preformatted {font-family: serif}
|
cannam@127
|
56 pre.smalldisplay {font-family: inherit; font-size: smaller}
|
cannam@127
|
57 pre.smallexample {font-size: smaller}
|
cannam@127
|
58 pre.smallformat {font-family: inherit; font-size: smaller}
|
cannam@127
|
59 pre.smalllisp {font-size: smaller}
|
cannam@127
|
60 span.nocodebreak {white-space:nowrap}
|
cannam@127
|
61 span.nolinebreak {white-space:nowrap}
|
cannam@127
|
62 span.roman {font-family:serif; font-weight:normal}
|
cannam@127
|
63 span.sansserif {font-family:sans-serif; font-weight:normal}
|
cannam@127
|
64 ul.no-bullet {list-style: none}
|
cannam@127
|
65 -->
|
cannam@127
|
66 </style>
|
cannam@127
|
67
|
cannam@127
|
68
|
cannam@127
|
69 </head>
|
cannam@127
|
70
|
cannam@127
|
71 <body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
|
cannam@127
|
72 <a name="Guru-Real_002ddata-DFTs"></a>
|
cannam@127
|
73 <div class="header">
|
cannam@127
|
74 <p>
|
cannam@127
|
75 Next: <a href="Guru-Real_002dto_002dreal-Transforms.html#Guru-Real_002dto_002dreal-Transforms" accesskey="n" rel="next">Guru Real-to-real Transforms</a>, Previous: <a href="Guru-Complex-DFTs.html#Guru-Complex-DFTs" accesskey="p" rel="prev">Guru Complex DFTs</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>
|
cannam@127
|
76 </div>
|
cannam@127
|
77 <hr>
|
cannam@127
|
78 <a name="Guru-Real_002ddata-DFTs-1"></a>
|
cannam@127
|
79 <h4 class="subsection">4.5.4 Guru Real-data DFTs</h4>
|
cannam@127
|
80
|
cannam@127
|
81 <div class="example">
|
cannam@127
|
82 <pre class="example">fftw_plan fftw_plan_guru_dft_r2c(
|
cannam@127
|
83 int rank, const fftw_iodim *dims,
|
cannam@127
|
84 int howmany_rank, const fftw_iodim *howmany_dims,
|
cannam@127
|
85 double *in, fftw_complex *out,
|
cannam@127
|
86 unsigned flags);
|
cannam@127
|
87
|
cannam@127
|
88 fftw_plan fftw_plan_guru_split_dft_r2c(
|
cannam@127
|
89 int rank, const fftw_iodim *dims,
|
cannam@127
|
90 int howmany_rank, const fftw_iodim *howmany_dims,
|
cannam@127
|
91 double *in, double *ro, double *io,
|
cannam@127
|
92 unsigned flags);
|
cannam@127
|
93
|
cannam@127
|
94 fftw_plan fftw_plan_guru_dft_c2r(
|
cannam@127
|
95 int rank, const fftw_iodim *dims,
|
cannam@127
|
96 int howmany_rank, const fftw_iodim *howmany_dims,
|
cannam@127
|
97 fftw_complex *in, double *out,
|
cannam@127
|
98 unsigned flags);
|
cannam@127
|
99
|
cannam@127
|
100 fftw_plan fftw_plan_guru_split_dft_c2r(
|
cannam@127
|
101 int rank, const fftw_iodim *dims,
|
cannam@127
|
102 int howmany_rank, const fftw_iodim *howmany_dims,
|
cannam@127
|
103 double *ri, double *ii, double *out,
|
cannam@127
|
104 unsigned flags);
|
cannam@127
|
105 </pre></div>
|
cannam@127
|
106 <a name="index-fftw_005fplan_005fguru_005fdft_005fr2c"></a>
|
cannam@127
|
107 <a name="index-fftw_005fplan_005fguru_005fsplit_005fdft_005fr2c"></a>
|
cannam@127
|
108 <a name="index-fftw_005fplan_005fguru_005fdft_005fc2r"></a>
|
cannam@127
|
109 <a name="index-fftw_005fplan_005fguru_005fsplit_005fdft_005fc2r"></a>
|
cannam@127
|
110
|
cannam@127
|
111 <p>Plan a real-input (r2c) or real-output (c2r), multi-dimensional DFT with
|
cannam@127
|
112 transform dimensions given by (<code>rank</code>, <code>dims</code>) over a
|
cannam@127
|
113 multi-dimensional vector (loop) of dimensions (<code>howmany_rank</code>,
|
cannam@127
|
114 <code>howmany_dims</code>). <code>dims</code> and <code>howmany_dims</code> should point
|
cannam@127
|
115 to <code>fftw_iodim</code> arrays of length <code>rank</code> and
|
cannam@127
|
116 <code>howmany_rank</code>, respectively. As for the basic and advanced
|
cannam@127
|
117 interfaces, an r2c transform is <code>FFTW_FORWARD</code> and a c2r transform
|
cannam@127
|
118 is <code>FFTW_BACKWARD</code>.
|
cannam@127
|
119 </p>
|
cannam@127
|
120 <p>The <em>last</em> dimension of <code>dims</code> is interpreted specially:
|
cannam@127
|
121 that dimension of the real array has size <code>dims[rank-1].n</code>, but
|
cannam@127
|
122 that dimension of the complex array has size <code>dims[rank-1].n/2+1</code>
|
cannam@127
|
123 (division rounded down). The strides, on the other hand, are taken to
|
cannam@127
|
124 be exactly as specified. It is up to the user to specify the strides
|
cannam@127
|
125 appropriately for the peculiar dimensions of the data, and we do not
|
cannam@127
|
126 guarantee that the planner will succeed (return non-<code>NULL</code>) for
|
cannam@127
|
127 any dimensions other than those described in <a href="Real_002ddata-DFT-Array-Format.html#Real_002ddata-DFT-Array-Format">Real-data DFT Array Format</a> and generalized in <a href="Advanced-Real_002ddata-DFTs.html#Advanced-Real_002ddata-DFTs">Advanced Real-data DFTs</a>. (That is,
|
cannam@127
|
128 for an in-place transform, each individual dimension should be able to
|
cannam@127
|
129 operate in place.)
|
cannam@127
|
130 <a name="index-in_002dplace-6"></a>
|
cannam@127
|
131 </p>
|
cannam@127
|
132
|
cannam@127
|
133 <p><code>in</code> and <code>out</code> point to the input and output arrays for r2c
|
cannam@127
|
134 and c2r transforms, respectively. For split arrays, <code>ri</code> and
|
cannam@127
|
135 <code>ii</code> point to the real and imaginary input arrays for a c2r
|
cannam@127
|
136 transform, and <code>ro</code> and <code>io</code> point to the real and imaginary
|
cannam@127
|
137 output arrays for an r2c transform. <code>in</code> and <code>ro</code> or
|
cannam@127
|
138 <code>ri</code> and <code>out</code> may be the same, indicating an in-place
|
cannam@127
|
139 transform. (In-place transforms where <code>in</code> and <code>io</code> or
|
cannam@127
|
140 <code>ii</code> and <code>out</code> are the same are not currently supported.)
|
cannam@127
|
141 </p>
|
cannam@127
|
142 <a name="index-flags-6"></a>
|
cannam@127
|
143 <p><code>flags</code> is a bitwise OR (‘<samp>|</samp>’) of zero or more planner flags,
|
cannam@127
|
144 as defined in <a href="Planner-Flags.html#Planner-Flags">Planner Flags</a>.
|
cannam@127
|
145 </p>
|
cannam@127
|
146 <p>In-place transforms of rank greater than 1 are currently only
|
cannam@127
|
147 supported for interleaved arrays. For split arrays, the planner will
|
cannam@127
|
148 return <code>NULL</code>.
|
cannam@127
|
149 <a name="index-in_002dplace-7"></a>
|
cannam@127
|
150 </p>
|
cannam@127
|
151 <hr>
|
cannam@127
|
152 <div class="header">
|
cannam@127
|
153 <p>
|
cannam@127
|
154 Next: <a href="Guru-Real_002dto_002dreal-Transforms.html#Guru-Real_002dto_002dreal-Transforms" accesskey="n" rel="next">Guru Real-to-real Transforms</a>, Previous: <a href="Guru-Complex-DFTs.html#Guru-Complex-DFTs" accesskey="p" rel="prev">Guru Complex DFTs</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>
|
cannam@127
|
155 </div>
|
cannam@127
|
156
|
cannam@127
|
157
|
cannam@127
|
158
|
cannam@127
|
159 </body>
|
cannam@127
|
160 </html>
|