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author | Geogaddi\David <d.m.ronan@qmul.ac.uk> |
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date | Thu, 09 Jul 2015 01:12:16 +0100 |
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2 <head> | |
3 <title>FFTW 3.2.1</title> | |
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9 <!-- | |
10 This manual is for FFTW | |
11 (version 3.2.1, 5 February 2009). | |
12 | |
13 Copyright (C) 2003 Matteo Frigo. | |
14 | |
15 Copyright (C) 2003 Massachusetts Institute of Technology. | |
16 | |
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18 this manual provided the copyright notice and this permission | |
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21 Permission is granted to copy and distribute modified versions of | |
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43 </head> | |
44 <body> | |
45 <h1 class="settitle">FFTW 3.2.1</h1> | |
46 <div class="contents"> | |
47 <h2>Table of Contents</h2> | |
48 <ul> | |
49 <li><a name="toc_Top" href="index.html#Top">FFTW User Manual</a> | |
50 <li><a name="toc_Introduction" href="Introduction.html#Introduction">1 Introduction</a> | |
51 <li><a name="toc_Tutorial" href="Tutorial.html#Tutorial">2 Tutorial</a> | |
52 <ul> | |
53 <li><a href="Complex-One_002dDimensional-DFTs.html#Complex-One_002dDimensional-DFTs">2.1 Complex One-Dimensional DFTs</a> | |
54 <li><a href="Complex-Multi_002dDimensional-DFTs.html#Complex-Multi_002dDimensional-DFTs">2.2 Complex Multi-Dimensional DFTs</a> | |
55 <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> | |
56 <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> | |
57 <li><a href="More-DFTs-of-Real-Data.html#More-DFTs-of-Real-Data">2.5 More DFTs of Real Data</a> | |
58 <ul> | |
59 <li><a href="The-Halfcomplex_002dformat-DFT.html#The-Halfcomplex_002dformat-DFT">2.5.1 The Halfcomplex-format DFT</a> | |
60 <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> | |
61 <li><a href="The-Discrete-Hartley-Transform.html#The-Discrete-Hartley-Transform">2.5.3 The Discrete Hartley Transform</a> | |
62 </li></ul> | |
63 </li></ul> | |
64 <li><a name="toc_Other-Important-Topics" href="Other-Important-Topics.html#Other-Important-Topics">3 Other Important Topics</a> | |
65 <ul> | |
66 <li><a href="Data-Alignment.html#Data-Alignment">3.1 Data Alignment</a> | |
67 <ul> | |
68 <li><a href="SIMD-alignment-and-fftw_005fmalloc.html#SIMD-alignment-and-fftw_005fmalloc">3.1.1 SIMD alignment and fftw_malloc</a> | |
69 <li><a href="Stack-alignment-on-x86.html#Stack-alignment-on-x86">3.1.2 Stack alignment on x86</a> | |
70 </li></ul> | |
71 <li><a href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format">3.2 Multi-dimensional Array Format</a> | |
72 <ul> | |
73 <li><a href="Row_002dmajor-Format.html#Row_002dmajor-Format">3.2.1 Row-major Format</a> | |
74 <li><a href="Column_002dmajor-Format.html#Column_002dmajor-Format">3.2.2 Column-major Format</a> | |
75 <li><a href="Fixed_002dsize-Arrays-in-C.html#Fixed_002dsize-Arrays-in-C">3.2.3 Fixed-size Arrays in C</a> | |
76 <li><a href="Dynamic-Arrays-in-C.html#Dynamic-Arrays-in-C">3.2.4 Dynamic Arrays in C</a> | |
77 <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> | |
78 </li></ul> | |
79 <li><a href="Words-of-Wisdom_002dSaving-Plans.html#Words-of-Wisdom_002dSaving-Plans">3.3 Words of Wisdom—Saving Plans</a> | |
80 <li><a href="Caveats-in-Using-Wisdom.html#Caveats-in-Using-Wisdom">3.4 Caveats in Using Wisdom</a> | |
81 </li></ul> | |
82 <li><a name="toc_FFTW-Reference" href="FFTW-Reference.html#FFTW-Reference">4 FFTW Reference</a> | |
83 <ul> | |
84 <li><a href="Data-Types-and-Files.html#Data-Types-and-Files">4.1 Data Types and Files</a> | |
85 <ul> | |
86 <li><a href="Complex-numbers.html#Complex-numbers">4.1.1 Complex numbers</a> | |
87 <li><a href="Precision.html#Precision">4.1.2 Precision</a> | |
88 <li><a href="Memory-Allocation.html#Memory-Allocation">4.1.3 Memory Allocation</a> | |
89 </li></ul> | |
90 <li><a href="Using-Plans.html#Using-Plans">4.2 Using Plans</a> | |
91 <li><a href="Basic-Interface.html#Basic-Interface">4.3 Basic Interface</a> | |
92 <ul> | |
93 <li><a href="Complex-DFTs.html#Complex-DFTs">4.3.1 Complex DFTs</a> | |
94 <li><a href="Planner-Flags.html#Planner-Flags">4.3.2 Planner Flags</a> | |
95 <li><a href="Real_002ddata-DFTs.html#Real_002ddata-DFTs">4.3.3 Real-data DFTs</a> | |
96 <li><a href="Real_002ddata-DFT-Array-Format.html#Real_002ddata-DFT-Array-Format">4.3.4 Real-data DFT Array Format</a> | |
97 <li><a href="Real_002dto_002dReal-Transforms.html#Real_002dto_002dReal-Transforms">4.3.5 Real-to-Real Transforms</a> | |
98 <li><a href="Real_002dto_002dReal-Transform-Kinds.html#Real_002dto_002dReal-Transform-Kinds">4.3.6 Real-to-Real Transform Kinds</a> | |
99 </li></ul> | |
100 <li><a href="Advanced-Interface.html#Advanced-Interface">4.4 Advanced Interface</a> | |
101 <ul> | |
102 <li><a href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs">4.4.1 Advanced Complex DFTs</a> | |
103 <li><a href="Advanced-Real_002ddata-DFTs.html#Advanced-Real_002ddata-DFTs">4.4.2 Advanced Real-data DFTs</a> | |
104 <li><a href="Advanced-Real_002dto_002dreal-Transforms.html#Advanced-Real_002dto_002dreal-Transforms">4.4.3 Advanced Real-to-real Transforms</a> | |
105 </li></ul> | |
106 <li><a href="Guru-Interface.html#Guru-Interface">4.5 Guru Interface</a> | |
107 <ul> | |
108 <li><a href="Interleaved-and-split-arrays.html#Interleaved-and-split-arrays">4.5.1 Interleaved and split arrays</a> | |
109 <li><a href="Guru-vector-and-transform-sizes.html#Guru-vector-and-transform-sizes">4.5.2 Guru vector and transform sizes</a> | |
110 <li><a href="Guru-Complex-DFTs.html#Guru-Complex-DFTs">4.5.3 Guru Complex DFTs</a> | |
111 <li><a href="Guru-Real_002ddata-DFTs.html#Guru-Real_002ddata-DFTs">4.5.4 Guru Real-data DFTs</a> | |
112 <li><a href="Guru-Real_002dto_002dreal-Transforms.html#Guru-Real_002dto_002dreal-Transforms">4.5.5 Guru Real-to-real Transforms</a> | |
113 <li><a href="64_002dbit-Guru-Interface.html#64_002dbit-Guru-Interface">4.5.6 64-bit Guru Interface</a> | |
114 </li></ul> | |
115 <li><a href="New_002darray-Execute-Functions.html#New_002darray-Execute-Functions">4.6 New-array Execute Functions</a> | |
116 <li><a href="Wisdom.html#Wisdom">4.7 Wisdom</a> | |
117 <ul> | |
118 <li><a href="Wisdom-Export.html#Wisdom-Export">4.7.1 Wisdom Export</a> | |
119 <li><a href="Wisdom-Import.html#Wisdom-Import">4.7.2 Wisdom Import</a> | |
120 <li><a href="Forgetting-Wisdom.html#Forgetting-Wisdom">4.7.3 Forgetting Wisdom</a> | |
121 <li><a href="Wisdom-Utilities.html#Wisdom-Utilities">4.7.4 Wisdom Utilities</a> | |
122 </li></ul> | |
123 <li><a href="What-FFTW-Really-Computes.html#What-FFTW-Really-Computes">4.8 What FFTW Really Computes</a> | |
124 <ul> | |
125 <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> | |
126 <li><a href="The-1d-Real_002ddata-DFT.html#The-1d-Real_002ddata-DFT">4.8.2 The 1d Real-data DFT</a> | |
127 <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> | |
128 <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> | |
129 <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> | |
130 <li><a href="Multi_002ddimensional-Transforms.html#Multi_002ddimensional-Transforms">4.8.6 Multi-dimensional Transforms</a> | |
131 </li></ul> | |
132 </li></ul> | |
133 <li><a name="toc_Multi_002dthreaded-FFTW" href="Multi_002dthreaded-FFTW.html#Multi_002dthreaded-FFTW">5 Multi-threaded FFTW</a> | |
134 <ul> | |
135 <li><a href="Installation-and-Supported-Hardware_002fSoftware.html#Installation-and-Supported-Hardware_002fSoftware">5.1 Installation and Supported Hardware/Software</a> | |
136 <li><a href="Usage-of-Multi_002dthreaded-FFTW.html#Usage-of-Multi_002dthreaded-FFTW">5.2 Usage of Multi-threaded FFTW</a> | |
137 <li><a href="How-Many-Threads-to-Use_003f.html#How-Many-Threads-to-Use_003f">5.3 How Many Threads to Use?</a> | |
138 <li><a href="Thread-safety.html#Thread-safety">5.4 Thread safety</a> | |
139 </li></ul> | |
140 <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> | |
141 <ul> | |
142 <li><a href="Cell-Installation.html#Cell-Installation">6.1 Cell Installation</a> | |
143 <li><a href="Cell-Caveats.html#Cell-Caveats">6.2 Cell Caveats</a> | |
144 <li><a href="FFTW-Accuracy-on-Cell.html#FFTW-Accuracy-on-Cell">6.3 FFTW Accuracy on Cell</a> | |
145 </li></ul> | |
146 <li><a name="toc_Calling-FFTW-from-Fortran" href="Calling-FFTW-from-Fortran.html#Calling-FFTW-from-Fortran">7 Calling FFTW from Fortran</a> | |
147 <ul> | |
148 <li><a href="Fortran_002dinterface-routines.html#Fortran_002dinterface-routines">7.1 Fortran-interface routines</a> | |
149 <li><a href="FFTW-Constants-in-Fortran.html#FFTW-Constants-in-Fortran">7.2 FFTW Constants in Fortran</a> | |
150 <li><a href="FFTW-Execution-in-Fortran.html#FFTW-Execution-in-Fortran">7.3 FFTW Execution in Fortran</a> | |
151 <li><a href="Fortran-Examples.html#Fortran-Examples">7.4 Fortran Examples</a> | |
152 <li><a href="Wisdom-of-Fortran_003f.html#Wisdom-of-Fortran_003f">7.5 Wisdom of Fortran?</a> | |
153 </li></ul> | |
154 <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> | |
155 <li><a name="toc_Installation-and-Customization" href="Installation-and-Customization.html#Installation-and-Customization">9 Installation and Customization</a> | |
156 <ul> | |
157 <li><a href="Installation-on-Unix.html#Installation-on-Unix">9.1 Installation on Unix</a> | |
158 <li><a href="Installation-on-non_002dUnix-systems.html#Installation-on-non_002dUnix-systems">9.2 Installation on non-Unix systems</a> | |
159 <li><a href="Cycle-Counters.html#Cycle-Counters">9.3 Cycle Counters</a> | |
160 <li><a href="Generating-your-own-code.html#Generating-your-own-code">9.4 Generating your own code</a> | |
161 </li></ul> | |
162 <li><a name="toc_Acknowledgments" href="Acknowledgments.html#Acknowledgments">10 Acknowledgments</a> | |
163 <li><a name="toc_License-and-Copyright" href="License-and-Copyright.html#License-and-Copyright">11 License and Copyright</a> | |
164 <li><a name="toc_Concept-Index" href="Concept-Index.html#Concept-Index">12 Concept Index</a> | |
165 <li><a name="toc_Library-Index" href="Library-Index.html#Library-Index">13 Library Index</a> | |
166 </li></ul> | |
167 </div> | |
168 | |
169 | |
170 | |
171 <div class="node"> | |
172 <p> | |
173 <a name="Top"></a> | |
174 Next: <a rel="next" accesskey="n" href="Introduction.html#Introduction">Introduction</a>, | |
175 Previous: <a rel="previous" accesskey="p" href="../index.html#dir">(dir)</a>, | |
176 Up: <a rel="up" accesskey="u" href="../index.html#dir">(dir)</a> | |
177 <hr> | |
178 </div> | |
179 | |
180 <h2 class="unnumbered">FFTW User Manual</h2> | |
181 | |
182 <p>Welcome to FFTW, the Fastest Fourier Transform in the West. FFTW is a | |
183 collection of fast C routines to compute the discrete Fourier transform. | |
184 This manual documents FFTW version 3.2.1. | |
185 | |
186 <ul class="menu"> | |
187 <li><a accesskey="1" href="Introduction.html#Introduction">Introduction</a> | |
188 <li><a accesskey="2" href="Tutorial.html#Tutorial">Tutorial</a> | |
189 <li><a accesskey="3" href="Other-Important-Topics.html#Other-Important-Topics">Other Important Topics</a> | |
190 <li><a accesskey="4" href="FFTW-Reference.html#FFTW-Reference">FFTW Reference</a> | |
191 <li><a accesskey="5" href="Multi_002dthreaded-FFTW.html#Multi_002dthreaded-FFTW">Multi-threaded FFTW</a> | |
192 <li><a accesskey="6" href="FFTW-on-the-Cell-Processor.html#FFTW-on-the-Cell-Processor">FFTW on the Cell Processor</a> | |
193 <li><a accesskey="7" href="Calling-FFTW-from-Fortran.html#Calling-FFTW-from-Fortran">Calling FFTW from Fortran</a> | |
194 <li><a accesskey="8" href="Upgrading-from-FFTW-version-2.html#Upgrading-from-FFTW-version-2">Upgrading from FFTW version 2</a> | |
195 <li><a accesskey="9" href="Installation-and-Customization.html#Installation-and-Customization">Installation and Customization</a> | |
196 <li><a href="Acknowledgments.html#Acknowledgments">Acknowledgments</a> | |
197 <li><a href="License-and-Copyright.html#License-and-Copyright">License and Copyright</a> | |
198 <li><a href="Concept-Index.html#Concept-Index">Concept Index</a> | |
199 <li><a href="Library-Index.html#Library-Index">Library Index</a> | |
200 | |
201 </li></ul> | |
202 <p>--- The Detailed Node Listing --- | |
203 | |
204 <p>Tutorial | |
205 | |
206 </p> | |
207 <ul class="menu"> | |
208 <li><a href="Complex-One_002dDimensional-DFTs.html#Complex-One_002dDimensional-DFTs">Complex One-Dimensional DFTs</a> | |
209 <li><a href="Complex-Multi_002dDimensional-DFTs.html#Complex-Multi_002dDimensional-DFTs">Complex Multi-Dimensional DFTs</a> | |
210 <li><a href="One_002dDimensional-DFTs-of-Real-Data.html#One_002dDimensional-DFTs-of-Real-Data">One-Dimensional DFTs of Real Data</a> | |
211 <li><a href="Multi_002dDimensional-DFTs-of-Real-Data.html#Multi_002dDimensional-DFTs-of-Real-Data">Multi-Dimensional DFTs of Real Data</a> | |
212 <li><a href="More-DFTs-of-Real-Data.html#More-DFTs-of-Real-Data">More DFTs of Real Data</a> | |
213 | |
214 </li></ul> | |
215 <p>More DFTs of Real Data | |
216 | |
217 </p> | |
218 <ul class="menu"> | |
219 <li><a href="The-Halfcomplex_002dformat-DFT.html#The-Halfcomplex_002dformat-DFT">The Halfcomplex-format DFT</a> | |
220 <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> | |
221 <li><a href="The-Discrete-Hartley-Transform.html#The-Discrete-Hartley-Transform">The Discrete Hartley Transform</a> | |
222 | |
223 </li></ul> | |
224 <p>Other Important Topics | |
225 | |
226 </p> | |
227 <ul class="menu"> | |
228 <li><a href="Data-Alignment.html#Data-Alignment">Data Alignment</a> | |
229 <li><a href="Multi_002ddimensional-Array-Format.html#Multi_002ddimensional-Array-Format">Multi-dimensional Array Format</a> | |
230 <li><a href="Words-of-Wisdom_002dSaving-Plans.html#Words-of-Wisdom_002dSaving-Plans">Words of Wisdom-Saving Plans</a> | |
231 <li><a href="Caveats-in-Using-Wisdom.html#Caveats-in-Using-Wisdom">Caveats in Using Wisdom</a> | |
232 | |
233 </li></ul> | |
234 <p>Data Alignment | |
235 | |
236 </p> | |
237 <ul class="menu"> | |
238 <li><a href="SIMD-alignment-and-fftw_005fmalloc.html#SIMD-alignment-and-fftw_005fmalloc">SIMD alignment and fftw_malloc</a> | |
239 <li><a href="Stack-alignment-on-x86.html#Stack-alignment-on-x86">Stack alignment on x86</a> | |
240 | |
241 </li></ul> | |
242 <p>Multi-dimensional Array Format | |
243 | |
244 </p> | |
245 <ul class="menu"> | |
246 <li><a href="Row_002dmajor-Format.html#Row_002dmajor-Format">Row-major Format</a> | |
247 <li><a href="Column_002dmajor-Format.html#Column_002dmajor-Format">Column-major Format</a> | |
248 <li><a href="Fixed_002dsize-Arrays-in-C.html#Fixed_002dsize-Arrays-in-C">Fixed-size Arrays in C</a> | |
249 <li><a href="Dynamic-Arrays-in-C.html#Dynamic-Arrays-in-C">Dynamic Arrays in C</a> | |
250 <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> | |
251 | |
252 </li></ul> | |
253 <p>FFTW Reference | |
254 | |
255 </p> | |
256 <ul class="menu"> | |
257 <li><a href="Data-Types-and-Files.html#Data-Types-and-Files">Data Types and Files</a> | |
258 <li><a href="Using-Plans.html#Using-Plans">Using Plans</a> | |
259 <li><a href="Basic-Interface.html#Basic-Interface">Basic Interface</a> | |
260 <li><a href="Advanced-Interface.html#Advanced-Interface">Advanced Interface</a> | |
261 <li><a href="Guru-Interface.html#Guru-Interface">Guru Interface</a> | |
262 <li><a href="New_002darray-Execute-Functions.html#New_002darray-Execute-Functions">New-array Execute Functions</a> | |
263 <li><a href="Wisdom.html#Wisdom">Wisdom</a> | |
264 <li><a href="What-FFTW-Really-Computes.html#What-FFTW-Really-Computes">What FFTW Really Computes</a> | |
265 | |
266 </li></ul> | |
267 <p>Data Types and Files | |
268 | |
269 </p> | |
270 <ul class="menu"> | |
271 <li><a href="Complex-numbers.html#Complex-numbers">Complex numbers</a> | |
272 <li><a href="Precision.html#Precision">Precision</a> | |
273 <li><a href="Memory-Allocation.html#Memory-Allocation">Memory Allocation</a> | |
274 | |
275 </li></ul> | |
276 <p>Basic Interface | |
277 | |
278 </p> | |
279 <ul class="menu"> | |
280 <li><a href="Complex-DFTs.html#Complex-DFTs">Complex DFTs</a> | |
281 <li><a href="Planner-Flags.html#Planner-Flags">Planner Flags</a> | |
282 <li><a href="Real_002ddata-DFTs.html#Real_002ddata-DFTs">Real-data DFTs</a> | |
283 <li><a href="Real_002ddata-DFT-Array-Format.html#Real_002ddata-DFT-Array-Format">Real-data DFT Array Format</a> | |
284 <li><a href="Real_002dto_002dReal-Transforms.html#Real_002dto_002dReal-Transforms">Real-to-Real Transforms</a> | |
285 <li><a href="Real_002dto_002dReal-Transform-Kinds.html#Real_002dto_002dReal-Transform-Kinds">Real-to-Real Transform Kinds</a> | |
286 | |
287 </li></ul> | |
288 <p>Advanced Interface | |
289 | |
290 </p> | |
291 <ul class="menu"> | |
292 <li><a href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs">Advanced Complex DFTs</a> | |
293 <li><a href="Advanced-Real_002ddata-DFTs.html#Advanced-Real_002ddata-DFTs">Advanced Real-data DFTs</a> | |
294 <li><a href="Advanced-Real_002dto_002dreal-Transforms.html#Advanced-Real_002dto_002dreal-Transforms">Advanced Real-to-real Transforms</a> | |
295 | |
296 </li></ul> | |
297 <p>Guru Interface | |
298 | |
299 </p> | |
300 <ul class="menu"> | |
301 <li><a href="Interleaved-and-split-arrays.html#Interleaved-and-split-arrays">Interleaved and split arrays</a> | |
302 <li><a href="Guru-vector-and-transform-sizes.html#Guru-vector-and-transform-sizes">Guru vector and transform sizes</a> | |
303 <li><a href="Guru-Complex-DFTs.html#Guru-Complex-DFTs">Guru Complex DFTs</a> | |
304 <li><a href="Guru-Real_002ddata-DFTs.html#Guru-Real_002ddata-DFTs">Guru Real-data DFTs</a> | |
305 <li><a href="Guru-Real_002dto_002dreal-Transforms.html#Guru-Real_002dto_002dreal-Transforms">Guru Real-to-real Transforms</a> | |
306 <li><a href="64_002dbit-Guru-Interface.html#g_t64_002dbit-Guru-Interface">64-bit Guru Interface</a> | |
307 | |
308 </li></ul> | |
309 <p>Wisdom | |
310 | |
311 </p> | |
312 <ul class="menu"> | |
313 <li><a href="Wisdom-Export.html#Wisdom-Export">Wisdom Export</a> | |
314 <li><a href="Wisdom-Import.html#Wisdom-Import">Wisdom Import</a> | |
315 <li><a href="Forgetting-Wisdom.html#Forgetting-Wisdom">Forgetting Wisdom</a> | |
316 <li><a href="Wisdom-Utilities.html#Wisdom-Utilities">Wisdom Utilities</a> | |
317 | |
318 </li></ul> | |
319 <p>What FFTW Really Computes | |
320 | |
321 </p> | |
322 <ul class="menu"> | |
323 <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> | |
324 <li><a href="The-1d-Real_002ddata-DFT.html#The-1d-Real_002ddata-DFT">The 1d Real-data DFT</a> | |
325 <li><a href="1d-Real_002deven-DFTs-_0028DCTs_0029.html#g_t1d-Real_002deven-DFTs-_0028DCTs_0029">1d Real-even DFTs (DCTs)</a> | |
326 <li><a href="1d-Real_002dodd-DFTs-_0028DSTs_0029.html#g_t1d-Real_002dodd-DFTs-_0028DSTs_0029">1d Real-odd DFTs (DSTs)</a> | |
327 <li><a href="1d-Discrete-Hartley-Transforms-_0028DHTs_0029.html#g_t1d-Discrete-Hartley-Transforms-_0028DHTs_0029">1d Discrete Hartley Transforms (DHTs)</a> | |
328 <li><a href="Multi_002ddimensional-Transforms.html#Multi_002ddimensional-Transforms">Multi-dimensional Transforms</a> | |
329 | |
330 </li></ul> | |
331 <p>Multi-threaded FFTW | |
332 | |
333 </p> | |
334 <ul class="menu"> | |
335 <li><a href="Installation-and-Supported-Hardware_002fSoftware.html#Installation-and-Supported-Hardware_002fSoftware">Installation and Supported Hardware/Software</a> | |
336 <li><a href="Usage-of-Multi_002dthreaded-FFTW.html#Usage-of-Multi_002dthreaded-FFTW">Usage of Multi-threaded FFTW</a> | |
337 <li><a href="How-Many-Threads-to-Use_003f.html#How-Many-Threads-to-Use_003f">How Many Threads to Use?</a> | |
338 <li><a href="Thread-safety.html#Thread-safety">Thread safety</a> | |
339 | |
340 </li></ul> | |
341 <p>FFTW on the Cell Processor | |
342 | |
343 </p> | |
344 <ul class="menu"> | |
345 <li><a href="Cell-Installation.html#Cell-Installation">Cell Installation</a> | |
346 <li><a href="Cell-Caveats.html#Cell-Caveats">Cell Caveats</a> | |
347 <li><a href="FFTW-Accuracy-on-Cell.html#FFTW-Accuracy-on-Cell">FFTW Accuracy on Cell</a> | |
348 | |
349 </li></ul> | |
350 <p>Calling FFTW from Fortran | |
351 | |
352 </p> | |
353 <ul class="menu"> | |
354 <li><a href="Fortran_002dinterface-routines.html#Fortran_002dinterface-routines">Fortran-interface routines</a> | |
355 <li><a href="FFTW-Constants-in-Fortran.html#FFTW-Constants-in-Fortran">FFTW Constants in Fortran</a> | |
356 <li><a href="FFTW-Execution-in-Fortran.html#FFTW-Execution-in-Fortran">FFTW Execution in Fortran</a> | |
357 <li><a href="Fortran-Examples.html#Fortran-Examples">Fortran Examples</a> | |
358 <li><a href="Wisdom-of-Fortran_003f.html#Wisdom-of-Fortran_003f">Wisdom of Fortran?</a> | |
359 | |
360 </li></ul> | |
361 <p>Installation and Customization | |
362 | |
363 </p> | |
364 <ul class="menu"> | |
365 <li><a href="Installation-on-Unix.html#Installation-on-Unix">Installation on Unix</a> | |
366 <li><a href="Installation-on-non_002dUnix-systems.html#Installation-on-non_002dUnix-systems">Installation on non-Unix systems</a> | |
367 <li><a href="Cycle-Counters.html#Cycle-Counters">Cycle Counters</a> | |
368 <li><a href="Generating-your-own-code.html#Generating-your-own-code">Generating your own code</a> | |
369 | |
370 </ul> | |
371 | |
372 <!-- ************************************************************ --> | |
373 </body></html> | |
374 |