1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
|
<html lang="en">
<head>
<title>FFTW 3.2.2</title>
<meta http-equiv="Content-Type" content="text/html">
<meta name="description" content="FFTW 3.2.2">
<meta name="generator" content="makeinfo 4.13">
<link title="Top" rel="start" href="#Top">
<link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage">
<!--
This manual is for FFTW
(version 3.2.2, 12 July 2009).
Copyright (C) 2003 Matteo Frigo.
Copyright (C) 2003 Massachusetts Institute of Technology.
Permission is granted to make and distribute verbatim copies of
this manual provided the copyright notice and this permission
notice are preserved on all copies.
Permission is granted to copy and distribute modified versions of
this manual under the conditions for verbatim copying, provided
that the entire resulting derived work is distributed under the
terms of a permission notice identical to this one.
Permission is granted to copy and distribute translations of this
manual into another language, under the above conditions for
modified versions, except that this permission notice may be
stated in a translation approved by the Free Software Foundation.
-->
<meta http-equiv="Content-Style-Type" content="text/css">
<style type="text/css"><!--
pre.display { font-family:inherit }
pre.format { font-family:inherit }
pre.smalldisplay { font-family:inherit; font-size:smaller }
pre.smallformat { font-family:inherit; font-size:smaller }
pre.smallexample { font-size:smaller }
pre.smalllisp { font-size:smaller }
span.sc { font-variant:small-caps }
span.roman { font-family:serif; font-weight:normal; }
span.sansserif { font-family:sans-serif; font-weight:normal; }
--></style>
</head>
<body>
<h1 class="settitle">FFTW 3.2.2</h1>
<div class="contents">
<h2>Table of Contents</h2>
<ul>
<li><a name="toc_Top" href="index.html#Top">FFTW User Manual</a>
<li><a name="toc_Introduction" href="Introduction.html#Introduction">1 Introduction</a>
<li><a name="toc_Tutorial" href="Tutorial.html#Tutorial">2 Tutorial</a>
<ul>
<li><a href="Complex-One_002dDimensional-DFTs.html#Complex-One_002dDimensional-DFTs">2.1 Complex One-Dimensional DFTs</a>
<li><a href="Complex-Multi_002dDimensional-DFTs.html#Complex-Multi_002dDimensional-DFTs">2.2 Complex Multi-Dimensional DFTs</a>
<li><a href="One_002dDimensional-DFTs-of-Real-Data.html#One_002dDimensional-DFTs-of-Real-Data">2.3 One-Dimensional DFTs of Real Data</a>
<li><a href="Multi_002dDimensional-DFTs-of-Real-Data.html#Multi_002dDimensional-DFTs-of-Real-Data">2.4 Multi-Dimensional DFTs of Real Data</a>
<li><a href="More-DFTs-of-Real-Data.html#More-DFTs-of-Real-Data">2.5 More DFTs of Real Data</a>
<ul>
<li><a href="The-Halfcomplex_002dformat-DFT.html#The-Halfcomplex_002dformat-DFT">2.5.1 The Halfcomplex-format DFT</a>
<li><a href="Real-even_002fodd-DFTs-_0028cosine_002fsine-transforms_0029.html#Real-even_002fodd-DFTs-_0028cosine_002fsine-transforms_0029">2.5.2 Real even/odd DFTs (cosine/sine transforms)</a>
<li><a href="The-Discrete-Hartley-Transform.html#The-Discrete-Hartley-Transform">2.5.3 The Discrete Hartley Transform</a>
</li></ul>
</li></ul>
<li><a name="toc_Other-Important-Topics" href="Other-Important-Topics.html#Other-Important-Topics">3 Other Important Topics</a>
<ul>
<li><a href="Data-Alignment.html#Data-Alignment">3.1 Data Alignment</a>
<ul>
<li><a href="SIMD-alignment-and-fftw_005fmalloc.html#SIMD-alignment-and-fftw_005fmalloc">3.1.1 SIMD alignment and fftw_malloc</a>
<li><a href="Stack-alignment-on-x86.html#Stack-alignment-on-x86">3.1.2 Stack alignment on x86</a>
</li></ul>
<li><a href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format">3.2 Multi-dimensional Array Format</a>
<ul>
<li><a href="Row_002dmajor-Format.html#Row_002dmajor-Format">3.2.1 Row-major Format</a>
<li><a href="Column_002dmajor-Format.html#Column_002dmajor-Format">3.2.2 Column-major Format</a>
<li><a href="Fixed_002dsize-Arrays-in-C.html#Fixed_002dsize-Arrays-in-C">3.2.3 Fixed-size Arrays in C</a>
<li><a href="Dynamic-Arrays-in-C.html#Dynamic-Arrays-in-C">3.2.4 Dynamic Arrays in C</a>
<li><a href="Dynamic-Arrays-in-C_002dThe-Wrong-Way.html#Dynamic-Arrays-in-C_002dThe-Wrong-Way">3.2.5 Dynamic Arrays in C—The Wrong Way</a>
</li></ul>
<li><a href="Words-of-Wisdom_002dSaving-Plans.html#Words-of-Wisdom_002dSaving-Plans">3.3 Words of Wisdom—Saving Plans</a>
<li><a href="Caveats-in-Using-Wisdom.html#Caveats-in-Using-Wisdom">3.4 Caveats in Using Wisdom</a>
</li></ul>
<li><a name="toc_FFTW-Reference" href="FFTW-Reference.html#FFTW-Reference">4 FFTW Reference</a>
<ul>
<li><a href="Data-Types-and-Files.html#Data-Types-and-Files">4.1 Data Types and Files</a>
<ul>
<li><a href="Complex-numbers.html#Complex-numbers">4.1.1 Complex numbers</a>
<li><a href="Precision.html#Precision">4.1.2 Precision</a>
<li><a href="Memory-Allocation.html#Memory-Allocation">4.1.3 Memory Allocation</a>
</li></ul>
<li><a href="Using-Plans.html#Using-Plans">4.2 Using Plans</a>
<li><a href="Basic-Interface.html#Basic-Interface">4.3 Basic Interface</a>
<ul>
<li><a href="Complex-DFTs.html#Complex-DFTs">4.3.1 Complex DFTs</a>
<li><a href="Planner-Flags.html#Planner-Flags">4.3.2 Planner Flags</a>
<li><a href="Real_002ddata-DFTs.html#Real_002ddata-DFTs">4.3.3 Real-data DFTs</a>
<li><a href="Real_002ddata-DFT-Array-Format.html#Real_002ddata-DFT-Array-Format">4.3.4 Real-data DFT Array Format</a>
<li><a href="Real_002dto_002dReal-Transforms.html#Real_002dto_002dReal-Transforms">4.3.5 Real-to-Real Transforms</a>
<li><a href="Real_002dto_002dReal-Transform-Kinds.html#Real_002dto_002dReal-Transform-Kinds">4.3.6 Real-to-Real Transform Kinds</a>
</li></ul>
<li><a href="Advanced-Interface.html#Advanced-Interface">4.4 Advanced Interface</a>
<ul>
<li><a href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs">4.4.1 Advanced Complex DFTs</a>
<li><a href="Advanced-Real_002ddata-DFTs.html#Advanced-Real_002ddata-DFTs">4.4.2 Advanced Real-data DFTs</a>
<li><a href="Advanced-Real_002dto_002dreal-Transforms.html#Advanced-Real_002dto_002dreal-Transforms">4.4.3 Advanced Real-to-real Transforms</a>
</li></ul>
<li><a href="Guru-Interface.html#Guru-Interface">4.5 Guru Interface</a>
<ul>
<li><a href="Interleaved-and-split-arrays.html#Interleaved-and-split-arrays">4.5.1 Interleaved and split arrays</a>
<li><a href="Guru-vector-and-transform-sizes.html#Guru-vector-and-transform-sizes">4.5.2 Guru vector and transform sizes</a>
<li><a href="Guru-Complex-DFTs.html#Guru-Complex-DFTs">4.5.3 Guru Complex DFTs</a>
<li><a href="Guru-Real_002ddata-DFTs.html#Guru-Real_002ddata-DFTs">4.5.4 Guru Real-data DFTs</a>
<li><a href="Guru-Real_002dto_002dreal-Transforms.html#Guru-Real_002dto_002dreal-Transforms">4.5.5 Guru Real-to-real Transforms</a>
<li><a href="64_002dbit-Guru-Interface.html#64_002dbit-Guru-Interface">4.5.6 64-bit Guru Interface</a>
</li></ul>
<li><a href="New_002darray-Execute-Functions.html#New_002darray-Execute-Functions">4.6 New-array Execute Functions</a>
<li><a href="Wisdom.html#Wisdom">4.7 Wisdom</a>
<ul>
<li><a href="Wisdom-Export.html#Wisdom-Export">4.7.1 Wisdom Export</a>
<li><a href="Wisdom-Import.html#Wisdom-Import">4.7.2 Wisdom Import</a>
<li><a href="Forgetting-Wisdom.html#Forgetting-Wisdom">4.7.3 Forgetting Wisdom</a>
<li><a href="Wisdom-Utilities.html#Wisdom-Utilities">4.7.4 Wisdom Utilities</a>
</li></ul>
<li><a href="What-FFTW-Really-Computes.html#What-FFTW-Really-Computes">4.8 What FFTW Really Computes</a>
<ul>
<li><a href="The-1d-Discrete-Fourier-Transform-_0028DFT_0029.html#The-1d-Discrete-Fourier-Transform-_0028DFT_0029">4.8.1 The 1d Discrete Fourier Transform (DFT)</a>
<li><a href="The-1d-Real_002ddata-DFT.html#The-1d-Real_002ddata-DFT">4.8.2 The 1d Real-data DFT</a>
<li><a href="1d-Real_002deven-DFTs-_0028DCTs_0029.html#1d-Real_002deven-DFTs-_0028DCTs_0029">4.8.3 1d Real-even DFTs (DCTs)</a>
<li><a href="1d-Real_002dodd-DFTs-_0028DSTs_0029.html#1d-Real_002dodd-DFTs-_0028DSTs_0029">4.8.4 1d Real-odd DFTs (DSTs)</a>
<li><a href="1d-Discrete-Hartley-Transforms-_0028DHTs_0029.html#1d-Discrete-Hartley-Transforms-_0028DHTs_0029">4.8.5 1d Discrete Hartley Transforms (DHTs)</a>
<li><a href="Multi_002ddimensional-Transforms.html#Multi_002ddimensional-Transforms">4.8.6 Multi-dimensional Transforms</a>
</li></ul>
</li></ul>
<li><a name="toc_Multi_002dthreaded-FFTW" href="Multi_002dthreaded-FFTW.html#Multi_002dthreaded-FFTW">5 Multi-threaded FFTW</a>
<ul>
<li><a href="Installation-and-Supported-Hardware_002fSoftware.html#Installation-and-Supported-Hardware_002fSoftware">5.1 Installation and Supported Hardware/Software</a>
<li><a href="Usage-of-Multi_002dthreaded-FFTW.html#Usage-of-Multi_002dthreaded-FFTW">5.2 Usage of Multi-threaded FFTW</a>
<li><a href="How-Many-Threads-to-Use_003f.html#How-Many-Threads-to-Use_003f">5.3 How Many Threads to Use?</a>
<li><a href="Thread-safety.html#Thread-safety">5.4 Thread safety</a>
</li></ul>
<li><a name="toc_FFTW-on-the-Cell-Processor" href="FFTW-on-the-Cell-Processor.html#FFTW-on-the-Cell-Processor">6 FFTW on the Cell Processor</a>
<ul>
<li><a href="Cell-Installation.html#Cell-Installation">6.1 Cell Installation</a>
<li><a href="Cell-Caveats.html#Cell-Caveats">6.2 Cell Caveats</a>
<li><a href="FFTW-Accuracy-on-Cell.html#FFTW-Accuracy-on-Cell">6.3 FFTW Accuracy on Cell</a>
</li></ul>
<li><a name="toc_Calling-FFTW-from-Fortran" href="Calling-FFTW-from-Fortran.html#Calling-FFTW-from-Fortran">7 Calling FFTW from Fortran</a>
<ul>
<li><a href="Fortran_002dinterface-routines.html#Fortran_002dinterface-routines">7.1 Fortran-interface routines</a>
<li><a href="FFTW-Constants-in-Fortran.html#FFTW-Constants-in-Fortran">7.2 FFTW Constants in Fortran</a>
<li><a href="FFTW-Execution-in-Fortran.html#FFTW-Execution-in-Fortran">7.3 FFTW Execution in Fortran</a>
<li><a href="Fortran-Examples.html#Fortran-Examples">7.4 Fortran Examples</a>
<li><a href="Wisdom-of-Fortran_003f.html#Wisdom-of-Fortran_003f">7.5 Wisdom of Fortran?</a>
</li></ul>
<li><a name="toc_Upgrading-from-FFTW-version-2" href="Upgrading-from-FFTW-version-2.html#Upgrading-from-FFTW-version-2">8 Upgrading from FFTW version 2</a>
<li><a name="toc_Installation-and-Customization" href="Installation-and-Customization.html#Installation-and-Customization">9 Installation and Customization</a>
<ul>
<li><a href="Installation-on-Unix.html#Installation-on-Unix">9.1 Installation on Unix</a>
<li><a href="Installation-on-non_002dUnix-systems.html#Installation-on-non_002dUnix-systems">9.2 Installation on non-Unix systems</a>
<li><a href="Cycle-Counters.html#Cycle-Counters">9.3 Cycle Counters</a>
<li><a href="Generating-your-own-code.html#Generating-your-own-code">9.4 Generating your own code</a>
</li></ul>
<li><a name="toc_Acknowledgments" href="Acknowledgments.html#Acknowledgments">10 Acknowledgments</a>
<li><a name="toc_License-and-Copyright" href="License-and-Copyright.html#License-and-Copyright">11 License and Copyright</a>
<li><a name="toc_Concept-Index" href="Concept-Index.html#Concept-Index">12 Concept Index</a>
<li><a name="toc_Library-Index" href="Library-Index.html#Library-Index">13 Library Index</a>
</li></ul>
</div>
<div class="node">
<a name="Top"></a>
<p>
Next: <a rel="next" accesskey="n" href="Introduction.html#Introduction">Introduction</a>,
Previous: <a rel="previous" accesskey="p" href="../index.html#dir">(dir)</a>,
Up: <a rel="up" accesskey="u" href="../index.html#dir">(dir)</a>
<hr>
</div>
<h2 class="unnumbered">FFTW User Manual</h2>
<p>Welcome to FFTW, the Fastest Fourier Transform in the West. FFTW is a
collection of fast C routines to compute the discrete Fourier transform.
This manual documents FFTW version 3.2.2.
<ul class="menu">
<li><a accesskey="1" href="Introduction.html#Introduction">Introduction</a>
<li><a accesskey="2" href="Tutorial.html#Tutorial">Tutorial</a>
<li><a accesskey="3" href="Other-Important-Topics.html#Other-Important-Topics">Other Important Topics</a>
<li><a accesskey="4" href="FFTW-Reference.html#FFTW-Reference">FFTW Reference</a>
<li><a accesskey="5" href="Multi_002dthreaded-FFTW.html#Multi_002dthreaded-FFTW">Multi-threaded FFTW</a>
<li><a accesskey="6" href="FFTW-on-the-Cell-Processor.html#FFTW-on-the-Cell-Processor">FFTW on the Cell Processor</a>
<li><a accesskey="7" href="Calling-FFTW-from-Fortran.html#Calling-FFTW-from-Fortran">Calling FFTW from Fortran</a>
<li><a accesskey="8" href="Upgrading-from-FFTW-version-2.html#Upgrading-from-FFTW-version-2">Upgrading from FFTW version 2</a>
<li><a accesskey="9" href="Installation-and-Customization.html#Installation-and-Customization">Installation and Customization</a>
<li><a href="Acknowledgments.html#Acknowledgments">Acknowledgments</a>
<li><a href="License-and-Copyright.html#License-and-Copyright">License and Copyright</a>
<li><a href="Concept-Index.html#Concept-Index">Concept Index</a>
<li><a href="Library-Index.html#Library-Index">Library Index</a>
</li></ul>
<p>--- The Detailed Node Listing ---
<p>Tutorial
</p>
<ul class="menu">
<li><a href="Complex-One_002dDimensional-DFTs.html#Complex-One_002dDimensional-DFTs">Complex One-Dimensional DFTs</a>
<li><a href="Complex-Multi_002dDimensional-DFTs.html#Complex-Multi_002dDimensional-DFTs">Complex Multi-Dimensional DFTs</a>
<li><a href="One_002dDimensional-DFTs-of-Real-Data.html#One_002dDimensional-DFTs-of-Real-Data">One-Dimensional DFTs of Real Data</a>
<li><a href="Multi_002dDimensional-DFTs-of-Real-Data.html#Multi_002dDimensional-DFTs-of-Real-Data">Multi-Dimensional DFTs of Real Data</a>
<li><a href="More-DFTs-of-Real-Data.html#More-DFTs-of-Real-Data">More DFTs of Real Data</a>
</li></ul>
<p>More DFTs of Real Data
</p>
<ul class="menu">
<li><a href="The-Halfcomplex_002dformat-DFT.html#The-Halfcomplex_002dformat-DFT">The Halfcomplex-format DFT</a>
<li><a href="Real-even_002fodd-DFTs-_0028cosine_002fsine-transforms_0029.html#Real-even_002fodd-DFTs-_0028cosine_002fsine-transforms_0029">Real even/odd DFTs (cosine/sine transforms)</a>
<li><a href="The-Discrete-Hartley-Transform.html#The-Discrete-Hartley-Transform">The Discrete Hartley Transform</a>
</li></ul>
<p>Other Important Topics
</p>
<ul class="menu">
<li><a href="Data-Alignment.html#Data-Alignment">Data Alignment</a>
<li><a href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format">Multi-dimensional Array Format</a>
<li><a href="Words-of-Wisdom_002dSaving-Plans.html#Words-of-Wisdom_002dSaving-Plans">Words of Wisdom-Saving Plans</a>
<li><a href="Caveats-in-Using-Wisdom.html#Caveats-in-Using-Wisdom">Caveats in Using Wisdom</a>
</li></ul>
<p>Data Alignment
</p>
<ul class="menu">
<li><a href="SIMD-alignment-and-fftw_005fmalloc.html#SIMD-alignment-and-fftw_005fmalloc">SIMD alignment and fftw_malloc</a>
<li><a href="Stack-alignment-on-x86.html#Stack-alignment-on-x86">Stack alignment on x86</a>
</li></ul>
<p>Multi-dimensional Array Format
</p>
<ul class="menu">
<li><a href="Row_002dmajor-Format.html#Row_002dmajor-Format">Row-major Format</a>
<li><a href="Column_002dmajor-Format.html#Column_002dmajor-Format">Column-major Format</a>
<li><a href="Fixed_002dsize-Arrays-in-C.html#Fixed_002dsize-Arrays-in-C">Fixed-size Arrays in C</a>
<li><a href="Dynamic-Arrays-in-C.html#Dynamic-Arrays-in-C">Dynamic Arrays in C</a>
<li><a href="Dynamic-Arrays-in-C_002dThe-Wrong-Way.html#Dynamic-Arrays-in-C_002dThe-Wrong-Way">Dynamic Arrays in C-The Wrong Way</a>
</li></ul>
<p>FFTW Reference
</p>
<ul class="menu">
<li><a href="Data-Types-and-Files.html#Data-Types-and-Files">Data Types and Files</a>
<li><a href="Using-Plans.html#Using-Plans">Using Plans</a>
<li><a href="Basic-Interface.html#Basic-Interface">Basic Interface</a>
<li><a href="Advanced-Interface.html#Advanced-Interface">Advanced Interface</a>
<li><a href="Guru-Interface.html#Guru-Interface">Guru Interface</a>
<li><a href="New_002darray-Execute-Functions.html#New_002darray-Execute-Functions">New-array Execute Functions</a>
<li><a href="Wisdom.html#Wisdom">Wisdom</a>
<li><a href="What-FFTW-Really-Computes.html#What-FFTW-Really-Computes">What FFTW Really Computes</a>
</li></ul>
<p>Data Types and Files
</p>
<ul class="menu">
<li><a href="Complex-numbers.html#Complex-numbers">Complex numbers</a>
<li><a href="Precision.html#Precision">Precision</a>
<li><a href="Memory-Allocation.html#Memory-Allocation">Memory Allocation</a>
</li></ul>
<p>Basic Interface
</p>
<ul class="menu">
<li><a href="Complex-DFTs.html#Complex-DFTs">Complex DFTs</a>
<li><a href="Planner-Flags.html#Planner-Flags">Planner Flags</a>
<li><a href="Real_002ddata-DFTs.html#Real_002ddata-DFTs">Real-data DFTs</a>
<li><a href="Real_002ddata-DFT-Array-Format.html#Real_002ddata-DFT-Array-Format">Real-data DFT Array Format</a>
<li><a href="Real_002dto_002dReal-Transforms.html#Real_002dto_002dReal-Transforms">Real-to-Real Transforms</a>
<li><a href="Real_002dto_002dReal-Transform-Kinds.html#Real_002dto_002dReal-Transform-Kinds">Real-to-Real Transform Kinds</a>
</li></ul>
<p>Advanced Interface
</p>
<ul class="menu">
<li><a href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs">Advanced Complex DFTs</a>
<li><a href="Advanced-Real_002ddata-DFTs.html#Advanced-Real_002ddata-DFTs">Advanced Real-data DFTs</a>
<li><a href="Advanced-Real_002dto_002dreal-Transforms.html#Advanced-Real_002dto_002dreal-Transforms">Advanced Real-to-real Transforms</a>
</li></ul>
<p>Guru Interface
</p>
<ul class="menu">
<li><a href="Interleaved-and-split-arrays.html#Interleaved-and-split-arrays">Interleaved and split arrays</a>
<li><a href="Guru-vector-and-transform-sizes.html#Guru-vector-and-transform-sizes">Guru vector and transform sizes</a>
<li><a href="Guru-Complex-DFTs.html#Guru-Complex-DFTs">Guru Complex DFTs</a>
<li><a href="Guru-Real_002ddata-DFTs.html#Guru-Real_002ddata-DFTs">Guru Real-data DFTs</a>
<li><a href="Guru-Real_002dto_002dreal-Transforms.html#Guru-Real_002dto_002dreal-Transforms">Guru Real-to-real Transforms</a>
<li><a href="64_002dbit-Guru-Interface.html#g_t64_002dbit-Guru-Interface">64-bit Guru Interface</a>
</li></ul>
<p>Wisdom
</p>
<ul class="menu">
<li><a href="Wisdom-Export.html#Wisdom-Export">Wisdom Export</a>
<li><a href="Wisdom-Import.html#Wisdom-Import">Wisdom Import</a>
<li><a href="Forgetting-Wisdom.html#Forgetting-Wisdom">Forgetting Wisdom</a>
<li><a href="Wisdom-Utilities.html#Wisdom-Utilities">Wisdom Utilities</a>
</li></ul>
<p>What FFTW Really Computes
</p>
<ul class="menu">
<li><a href="The-1d-Discrete-Fourier-Transform-_0028DFT_0029.html#The-1d-Discrete-Fourier-Transform-_0028DFT_0029">The 1d Discrete Fourier Transform (DFT)</a>
<li><a href="The-1d-Real_002ddata-DFT.html#The-1d-Real_002ddata-DFT">The 1d Real-data DFT</a>
<li><a href="1d-Real_002deven-DFTs-_0028DCTs_0029.html#g_t1d-Real_002deven-DFTs-_0028DCTs_0029">1d Real-even DFTs (DCTs)</a>
<li><a href="1d-Real_002dodd-DFTs-_0028DSTs_0029.html#g_t1d-Real_002dodd-DFTs-_0028DSTs_0029">1d Real-odd DFTs (DSTs)</a>
<li><a href="1d-Discrete-Hartley-Transforms-_0028DHTs_0029.html#g_t1d-Discrete-Hartley-Transforms-_0028DHTs_0029">1d Discrete Hartley Transforms (DHTs)</a>
<li><a href="Multi_002ddimensional-Transforms.html#Multi_002ddimensional-Transforms">Multi-dimensional Transforms</a>
</li></ul>
<p>Multi-threaded FFTW
</p>
<ul class="menu">
<li><a href="Installation-and-Supported-Hardware_002fSoftware.html#Installation-and-Supported-Hardware_002fSoftware">Installation and Supported Hardware/Software</a>
<li><a href="Usage-of-Multi_002dthreaded-FFTW.html#Usage-of-Multi_002dthreaded-FFTW">Usage of Multi-threaded FFTW</a>
<li><a href="How-Many-Threads-to-Use_003f.html#How-Many-Threads-to-Use_003f">How Many Threads to Use?</a>
<li><a href="Thread-safety.html#Thread-safety">Thread safety</a>
</li></ul>
<p>FFTW on the Cell Processor
</p>
<ul class="menu">
<li><a href="Cell-Installation.html#Cell-Installation">Cell Installation</a>
<li><a href="Cell-Caveats.html#Cell-Caveats">Cell Caveats</a>
<li><a href="FFTW-Accuracy-on-Cell.html#FFTW-Accuracy-on-Cell">FFTW Accuracy on Cell</a>
</li></ul>
<p>Calling FFTW from Fortran
</p>
<ul class="menu">
<li><a href="Fortran_002dinterface-routines.html#Fortran_002dinterface-routines">Fortran-interface routines</a>
<li><a href="FFTW-Constants-in-Fortran.html#FFTW-Constants-in-Fortran">FFTW Constants in Fortran</a>
<li><a href="FFTW-Execution-in-Fortran.html#FFTW-Execution-in-Fortran">FFTW Execution in Fortran</a>
<li><a href="Fortran-Examples.html#Fortran-Examples">Fortran Examples</a>
<li><a href="Wisdom-of-Fortran_003f.html#Wisdom-of-Fortran_003f">Wisdom of Fortran?</a>
</li></ul>
<p>Installation and Customization
</p>
<ul class="menu">
<li><a href="Installation-on-Unix.html#Installation-on-Unix">Installation on Unix</a>
<li><a href="Installation-on-non_002dUnix-systems.html#Installation-on-non_002dUnix-systems">Installation on non-Unix systems</a>
<li><a href="Cycle-Counters.html#Cycle-Counters">Cycle Counters</a>
<li><a href="Generating-your-own-code.html#Generating-your-own-code">Generating your own code</a>
</ul>
<!-- ************************************************************ -->
</body></html>
|
