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81 AIX.</a>81 AIX.</a>
82 <li><a·href="section5.html#bigprimebug"·rel=subdocument>Q5.10.·FFTW·2.1.2's·complex·transforms·give·incorrect·results·for·large·prime82 <li><a·href="section5.html#bigprimebug"·rel=subdocument>Q5.10.·FFTW·2.1.2's·complex·transforms·give·incorrect·results·for·large·prime
83 sizes.</a>83 sizes.</a>
84 <li><a·href="section5.html#aixflags"·rel=subdocument>Q5.11.·FFTW·2.1.3·crashes·on·AIX</a>84 <li><a·href="section5.html#aixflags"·rel=subdocument>Q5.11.·FFTW·2.1.3·crashes·on·AIX</a>
85 </ul><hr>85 </ul><hr>
86 <address>86 <address>
87 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>87 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>
88 -·06·January·202488 -·08·February·2025
89 </address><br>89 </address><br>
90 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,90 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,
91 Copyright·&copy;·2024·Massachusetts·Institute·of·Technology.91 Copyright·&copy;·2025·Massachusetts·Institute·of·Technology.
92 </body></html>92 </body></html>
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60 ······factors_17_to_97.60 ······factors_17_to_97.
61 ····*·Q5.8._FFTW_2.1.1's_MPI_test_programs_crash_with_MPICH.61 ····*·Q5.8._FFTW_2.1.1's_MPI_test_programs_crash_with_MPICH.
62 ····*·Q5.9._FFTW_2.1.2's_multi-threaded_transforms_don't_work_on_AIX.62 ····*·Q5.9._FFTW_2.1.2's_multi-threaded_transforms_don't_work_on_AIX.
63 ····*·Q5.10._FFTW_2.1.2's_complex_transforms_give_incorrect_results_for_large63 ····*·Q5.10._FFTW_2.1.2's_complex_transforms_give_incorrect_results_for_large
64 ······prime_sizes.64 ······prime_sizes.
65 ····*·Q5.11._FFTW_2.1.3_crashes_on_AIX65 ····*·Q5.11._FFTW_2.1.3_crashes_on_AIX
66 ===============================================================================66 ===============================================================================
67 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·06·January·202467 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·08·February·2025
  
68 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202468 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2025
69 Massachusetts·Institute·of·Technology.69 Massachusetts·Institute·of·Technology.
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66 copyright·to·FFTW·and·they·only·let·us·GPL·it·because·we·convinced66 copyright·to·FFTW·and·they·only·let·us·GPL·it·because·we·convinced
67 them·that·it·would·neither·affect·their·licensing·revenue·nor·irritate67 them·that·it·would·neither·affect·their·licensing·revenue·nor·irritate
68 existing·licensees.··<hr>68 existing·licensees.··<hr>
69 Next:·<a·href="section2.html"·rel=precedes>Installing·FFTW</a>.<br>69 Next:·<a·href="section2.html"·rel=precedes>Installing·FFTW</a>.<br>
70 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>70 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>
71 <address>71 <address>
72 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>72 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>
73 -·06·January·202473 -·08·February·2025
74 </address><br>74 </address><br>
75 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,75 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,
76 Copyright·&copy;·2024·Massachusetts·Institute·of·Technology.76 Copyright·&copy;·2025·Massachusetts·Institute·of·Technology.
77 </body></html>77 </body></html>
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35 We·could·instead·have·released·FFTW·under·the·LGPL,·or·even·disallowed·non-Free35 We·could·instead·have·released·FFTW·under·the·LGPL,·or·even·disallowed·non-Free
36 usage.·Suffice·it·to·say,·however,·that·MIT·owns·the·copyright·to·FFTW·and·they36 usage.·Suffice·it·to·say,·however,·that·MIT·owns·the·copyright·to·FFTW·and·they
37 only·let·us·GPL·it·because·we·convinced·them·that·it·would·neither·affect·their37 only·let·us·GPL·it·because·we·convinced·them·that·it·would·neither·affect·their
38 licensing·revenue·nor·irritate·existing·licensees.38 licensing·revenue·nor·irritate·existing·licensees.
39 ===============================================================================39 ===============================================================================
40 Next:·Installing_FFTW.40 Next:·Installing_FFTW.
41 Return_to_contents.41 Return_to_contents.
42 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·06·January·202442 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·08·February·2025
  
43 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202443 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2025
44 Massachusetts·Institute·of·Technology.44 Massachusetts·Institute·of·Technology.
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159 On·a·Unix·system:·<code>configure·--enable-float</code>.··On·a·non-Unix·system:·edit·<code>fftw/fftw.h</code>·to·<code>#define</code>·the·symbol·<code>FFTW_ENABLE_FLOAT</code>.··In·both·cases,·you·must·then·recompile159 On·a·Unix·system:·<code>configure·--enable-float</code>.··On·a·non-Unix·system:·edit·<code>fftw/fftw.h</code>·to·<code>#define</code>·the·symbol·<code>FFTW_ENABLE_FLOAT</code>.··In·both·cases,·you·must·then·recompile
160 FFTW.··<hr>160 FFTW.··<hr>
161 Next:·<a·href="section3.html"·rel=precedes>Using·FFTW</a>.<br>161 Next:·<a·href="section3.html"·rel=precedes>Using·FFTW</a>.<br>
162 Back:·<a·href="section1.html"·rev=precedes>Introduction·and·General·Information</a>.<br>162 Back:·<a·href="section1.html"·rev=precedes>Introduction·and·General·Information</a>.<br>
163 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>163 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>
164 <address>164 <address>
165 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>165 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>
166 -·06·January·2024166 -·08·February·2025
167 </address><br>167 </address><br>
168 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,168 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,
169 Copyright·&copy;·2024·Massachusetts·Institute·of·Technology.169 Copyright·&copy;·2025·Massachusetts·Institute·of·Technology.
170 </body></html>170 </body></html>
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90 On·a·Unix·system:·configure·--enable-float.·On·a·non-Unix·system:·edit·fftw/90 On·a·Unix·system:·configure·--enable-float.·On·a·non-Unix·system:·edit·fftw/
91 fftw.h·to·#define·the·symbol·FFTW_ENABLE_FLOAT.·In·both·cases,·you·must·then91 fftw.h·to·#define·the·symbol·FFTW_ENABLE_FLOAT.·In·both·cases,·you·must·then
92 recompile·FFTW.92 recompile·FFTW.
93 ===============================================================================93 ===============================================================================
94 Next:·Using_FFTW.94 Next:·Using_FFTW.
95 Back:·Introduction_and_General_Information.95 Back:·Introduction_and_General_Information.
96 Return_to_contents.96 Return_to_contents.
97 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·06·January·202497 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·08·February·2025
  
98 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202498 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2025
99 Massachusetts·Institute·of·Technology.99 Massachusetts·Institute·of·Technology.
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173 transform·if·they·are·larger·than·a·few·hundred·elements.·173 transform·if·they·are·larger·than·a·few·hundred·elements.·
174 <hr>174 <hr>
175 Next:·<a·href="section4.html"·rel=precedes>Internals·of·FFTW</a>.<br>175 Next:·<a·href="section4.html"·rel=precedes>Internals·of·FFTW</a>.<br>
176 Back:·<a·href="section2.html"·rev=precedes>Installing·FFTW</a>.<br>176 Back:·<a·href="section2.html"·rev=precedes>Installing·FFTW</a>.<br>
177 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>177 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>
178 <address>178 <address>
179 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>179 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>
180 -·06·January·2024180 -·08·February·2025
181 </address><br>181 </address><br>
182 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,182 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,
183 Copyright·&copy;·2024·Massachusetts·Institute·of·Technology.183 Copyright·&copy;·2025·Massachusetts·Institute·of·Technology.
184 </body></html>184 </body></html>
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97 You·cannot·declare·large·arrays·statically;·you·should·use·malloc·(or97 You·cannot·declare·large·arrays·statically;·you·should·use·malloc·(or
98 equivalent)·to·allocate·the·arrays·you·want·to·transform·if·they·are·larger98 equivalent)·to·allocate·the·arrays·you·want·to·transform·if·they·are·larger
99 than·a·few·hundred·elements.99 than·a·few·hundred·elements.
100 ===============================================================================100 ===============================================================================
101 Next:·Internals_of_FFTW.101 Next:·Internals_of_FFTW.
102 Back:·Installing_FFTW.102 Back:·Installing_FFTW.
103 Return_to_contents.103 Return_to_contents.
104 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·06·January·2024104 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·08·February·2025
  
105 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2024105 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2025
106 Massachusetts·Institute·of·Technology.106 Massachusetts·Institute·of·Technology.
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75 <p>75 <p>
76 In·short,·<code>wisdom</code>·does·more·things·with·less·effort,·and·seemed·like·The·Right·Thing·to·do.··<hr>76 In·short,·<code>wisdom</code>·does·more·things·with·less·effort,·and·seemed·like·The·Right·Thing·to·do.··<hr>
77 Next:·<a·href="section5.html"·rel=precedes>Known·bugs</a>.<br>77 Next:·<a·href="section5.html"·rel=precedes>Known·bugs</a>.<br>
78 Back:·<a·href="section3.html"·rev=precedes>Using·FFTW</a>.<br>78 Back:·<a·href="section3.html"·rev=precedes>Using·FFTW</a>.<br>
79 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>79 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>
80 <address>80 <address>
81 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>81 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>
82 -·06·January·202482 -·08·February·2025
83 </address><br>83 </address><br>
84 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,84 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,
85 Copyright·&copy;·2024·Massachusetts·Institute·of·Technology.85 Copyright·&copy;·2025·Massachusetts·Institute·of·Technology.
86 </body></html>86 </body></html>
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43 can·be·reused.43 can·be·reused.
44 In·short,·wisdom·does·more·things·with·less·effort,·and·seemed·like·The·Right44 In·short,·wisdom·does·more·things·with·less·effort,·and·seemed·like·The·Right
45 Thing·to·do.45 Thing·to·do.
46 ===============================================================================46 ===============================================================================
47 Next:·Known_bugs.47 Next:·Known_bugs.
48 Back:·Using_FFTW.48 Back:·Using_FFTW.
49 Return_to_contents.49 Return_to_contents.
50 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·06·January·202450 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·08·February·2025
  
51 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202451 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2025
52 Massachusetts·Institute·of·Technology.52 Massachusetts·Institute·of·Technology.
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126 The·FFTW·2.1.3·<code>configure</code>·script·picked·incorrect·compiler·flags·for·the·<code>xlc</code>·compiler·on·newer·IBM·processors.··This126 The·FFTW·2.1.3·<code>configure</code>·script·picked·incorrect·compiler·flags·for·the·<code>xlc</code>·compiler·on·newer·IBM·processors.··This
127 is·fixed·in·FFTW·2.1.4.··<hr>127 is·fixed·in·FFTW·2.1.4.··<hr>
128 Back:·<a·href="section4.html"·rev=precedes>Internals·of·FFTW</a>.<br>128 Back:·<a·href="section4.html"·rev=precedes>Internals·of·FFTW</a>.<br>
129 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>129 <a·href="index.html"·rev=subdocument>Return·to·contents</a>.<p>
130 <address>130 <address>
131 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>131 <A·href="http://www.fftw.org">Matteo·Frigo·and·Steven·G.·Johnson</A>·/·<A·href="mailto:fftw@fftw.org">fftw@fftw.org</A>
132 -·06·January·2024132 -·08·February·2025
133 </address><br>133 </address><br>
134 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,134 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,
135 Copyright·&copy;·2024·Massachusetts·Institute·of·Technology.135 Copyright·&copy;·2025·Massachusetts·Institute·of·Technology.
136 </body></html>136 </body></html>
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65 (Sizes·without·large·prime·factors·are·not·affected.)65 (Sizes·without·large·prime·factors·are·not·affected.)
66 *****·Question·5.11.·FFTW·2.1.3·crashes·on·AIX·*****66 *****·Question·5.11.·FFTW·2.1.3·crashes·on·AIX·*****
67 The·FFTW·2.1.3·configure·script·picked·incorrect·compiler·flags·for·the·xlc67 The·FFTW·2.1.3·configure·script·picked·incorrect·compiler·flags·for·the·xlc
68 compiler·on·newer·IBM·processors.·This·is·fixed·in·FFTW·2.1.4.68 compiler·on·newer·IBM·processors.·This·is·fixed·in·FFTW·2.1.4.
69 ===============================================================================69 ===============================================================================
70 Back:·Internals_of_FFTW.70 Back:·Internals_of_FFTW.
71 Return_to_contents.71 Return_to_contents.
72 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·06·January·202472 ·····Matteo_Frigo_and_Steven_G._Johnson·/·fftw@fftw.org·-·08·February·2025
  
73 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202473 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2025
74 Massachusetts·Institute·of·Technology.74 Massachusetts·Institute·of·Technology.
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1 ············FFTW·FREQUENTLY·ASKED·QUESTIONS·WITH·ANSWERS1 ············FFTW·FREQUENTLY·ASKED·QUESTIONS·WITH·ANSWERS
2 ····························06·Jan·20242 ····························08·Feb·2025
3 »       »       »       ·····Matteo·Frigo3 »       »       »       ·····Matteo·Frigo
4 »       »       »       ···Steven·G.·Johnson4 »       »       »       ···Steven·G.·Johnson
5 ·»       »       »       ····<fftw@fftw.org>5 ·»       »       »       ····<fftw@fftw.org>
  
6 This·is·the·list·of·Frequently·Asked·Questions·about·FFTW,·a·collection·of6 This·is·the·list·of·Frequently·Asked·Questions·about·FFTW,·a·collection·of
7 fast·C·routines·for·computing·the·Discrete·Fourier·Transform·in·one·or7 fast·C·routines·for·computing·the·Discrete·Fourier·Transform·in·one·or
8 more·dimensions.8 more·dimensions.
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1 <!DOCTYPE·HTML·PUBLIC·"-//W3C//DTD·HTML·3.2//EN">1 <!DOCTYPE·HTML·PUBLIC·"-//W3C//DTD·HTML·3.2//EN">
2 <HTML>2 <HTML>
3 <HEAD>3 <HEAD>
4 <!--·This·HTML·file·has·been·created·by·texi2html·1.524 <!--·This·HTML·file·has·been·created·by·texi2html·1.52
5 ·····from·fftw.texi·on·6·January·2024·-->5 ·····from·fftw.texi·on·8·Febuary·2025·-->
  
6 <TITLE>FFTW·-·Introduction</TITLE>6 <TITLE>FFTW·-·Introduction</TITLE>
7 </HEAD>7 </HEAD>
8 <BODY·TEXT="#000000"·BGCOLOR="#FFFFFF">8 <BODY·TEXT="#000000"·BGCOLOR="#FFFFFF">
9 Go·to·the·first,·previous,·<A·HREF="fftw_2.html">next</A>,·<A·HREF="fftw_10.html">last</A>·section,·<A·HREF="fftw_toc.html">table·of·contents</A>.9 Go·to·the·first,·previous,·<A·HREF="fftw_2.html">next</A>,·<A·HREF="fftw_10.html">last</A>·section,·<A·HREF="fftw_toc.html">table·of·contents</A>.
10 <P><HR><P>10 <P><HR><P>
  
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1 <!DOCTYPE·HTML·PUBLIC·"-//W3C//DTD·HTML·3.2//EN">1 <!DOCTYPE·HTML·PUBLIC·"-//W3C//DTD·HTML·3.2//EN">
2 <HTML>2 <HTML>
3 <HEAD>3 <HEAD>
4 <!--·This·HTML·file·has·been·created·by·texi2html·1.524 <!--·This·HTML·file·has·been·created·by·texi2html·1.52
5 ·····from·fftw.texi·on·6·January·2024·-->5 ·····from·fftw.texi·on·8·Febuary·2025·-->
  
6 <TITLE>FFTW·-·Library·Index</TITLE>6 <TITLE>FFTW·-·Library·Index</TITLE>
7 </HEAD>7 </HEAD>
8 <BODY·TEXT="#000000"·BGCOLOR="#FFFFFF">8 <BODY·TEXT="#000000"·BGCOLOR="#FFFFFF">
9 Go·to·the·<A·HREF="fftw_1.html">first</A>,·<A·HREF="fftw_9.html">previous</A>,·next,·last·section,·<A·HREF="fftw_toc.html">table·of·contents</A>.9 Go·to·the·<A·HREF="fftw_1.html">first</A>,·<A·HREF="fftw_9.html">previous</A>,·next,·last·section,·<A·HREF="fftw_toc.html">table·of·contents</A>.
10 <P><HR><P>10 <P><HR><P>
  
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1 <!DOCTYPE·HTML·PUBLIC·"-//W3C//DTD·HTML·3.2//EN">1 <!DOCTYPE·HTML·PUBLIC·"-//W3C//DTD·HTML·3.2//EN">
2 <HTML>2 <HTML>
3 <HEAD>3 <HEAD>
4 <!--·This·HTML·file·has·been·created·by·texi2html·1.524 <!--·This·HTML·file·has·been·created·by·texi2html·1.52
5 ·····from·fftw.texi·on·6·January·2024·-->5 ·····from·fftw.texi·on·8·Febuary·2025·-->
  
6 <TITLE>FFTW·-·Tutorial</TITLE>6 <TITLE>FFTW·-·Tutorial</TITLE>
7 </HEAD>7 </HEAD>
8 <BODY·TEXT="#000000"·BGCOLOR="#FFFFFF">8 <BODY·TEXT="#000000"·BGCOLOR="#FFFFFF">
9 Go·to·the·<A·HREF="fftw_1.html">first</A>,·<A·HREF="fftw_1.html">previous</A>,·<A·HREF="fftw_3.html">next</A>,·<A·HREF="fftw_10.html">last</A>·section,·<A·HREF="fftw_toc.html">table·of·contents</A>.9 Go·to·the·<A·HREF="fftw_1.html">first</A>,·<A·HREF="fftw_1.html">previous</A>,·<A·HREF="fftw_3.html">next</A>,·<A·HREF="fftw_10.html">last</A>·section,·<A·HREF="fftw_toc.html">table·of·contents</A>.
10 <P><HR><P>10 <P><HR><P>
  
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1 <!DOCTYPE·HTML·PUBLIC·"-//W3C//DTD·HTML·3.2//EN">1 <!DOCTYPE·HTML·PUBLIC·"-//W3C//DTD·HTML·3.2//EN">
2 <HTML>2 <HTML>
3 <HEAD>3 <HEAD>
4 <!--·This·HTML·file·has·been·created·by·texi2html·1.524 <!--·This·HTML·file·has·been·created·by·texi2html·1.52
5 ·····from·fftw.texi·on·6·January·2024·-->5 ·····from·fftw.texi·on·8·Febuary·2025·-->
  
6 <TITLE>FFTW·-·FFTW·Reference</TITLE>6 <TITLE>FFTW·-·FFTW·Reference</TITLE>
7 </HEAD>7 </HEAD>
8 <BODY·TEXT="#000000"·BGCOLOR="#FFFFFF">8 <BODY·TEXT="#000000"·BGCOLOR="#FFFFFF">
9 Go·to·the·<A·HREF="fftw_1.html">first</A>,·<A·HREF="fftw_2.html">previous</A>,·<A·HREF="fftw_4.html">next</A>,·<A·HREF="fftw_10.html">last</A>·section,·<A·HREF="fftw_toc.html">table·of·contents</A>.9 Go·to·the·<A·HREF="fftw_1.html">first</A>,·<A·HREF="fftw_2.html">previous</A>,·<A·HREF="fftw_4.html">next</A>,·<A·HREF="fftw_10.html">last</A>·section,·<A·HREF="fftw_toc.html">table·of·contents</A>.
10 <P><HR><P>10 <P><HR><P>
  
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10 <H2>For·version·2.1.5,·6·January·2024</H2>10 <H2>For·version·2.1.5,·8·February·2025</H2>
11 <ADDRESS>Matteo·Frigo</ADDRESS>11 <ADDRESS>Matteo·Frigo</ADDRESS>
12 <ADDRESS>Steven·G.·Johnson</ADDRESS>12 <ADDRESS>Steven·G.·Johnson</ADDRESS>
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17 multi-dimensional·rfftw·is·a·more-conventional·array·of17 multi-dimensional·rfftw·is·a·more-conventional·array·of
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3 ·····Matteo·Frigo3 ·····Matteo·Frigo
4 ·····Steven·G.·Johnson4 ·····Steven·G.·Johnson
5 ===============================================================================5 ===============================================================================
6 ****·(1)·****6 ****·(1)·****
7 The·output·for·the·multi-dimensional·rfftw·is·a·more-conventional·array·of7 The·output·for·the·multi-dimensional·rfftw·is·a·more-conventional·array·of
8 fftw_complex·values,·but·the·format·here·permitted·us·greater·efficiency·in·one8 fftw_complex·values,·but·the·format·here·permitted·us·greater·efficiency·in·one
9 dimension.9 dimension.
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39 characters,·nor·may·they·contain·underscores.·Any·compiler·that·enforces·this39 characters,·nor·may·they·contain·underscores.·Any·compiler·that·enforces·this
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9 <H1>FFTW·User's·Manual</H1>9 <H1>FFTW·User's·Manual</H1>
10 <H2>For·version·2.1.5,·6·January·2024</H2>10 <H2>For·version·2.1.5,·8·February·2025</H2>
11 <ADDRESS>Matteo·Frigo</ADDRESS>11 <ADDRESS>Matteo·Frigo</ADDRESS>
12 <ADDRESS>Steven·G.·Johnson</ADDRESS>12 <ADDRESS>Steven·G.·Johnson</ADDRESS>
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14 <P><HR><P>14 <P><HR><P>
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16 <LI><A·NAME="TOC1"·HREF="fftw_1.html#SEC1">Introduction</A>16 <LI><A·NAME="TOC1"·HREF="fftw_1.html#SEC1">Introduction</A>
17 <LI><A·NAME="TOC2"·HREF="fftw_2.html#SEC2">Tutorial</A>17 <LI><A·NAME="TOC2"·HREF="fftw_2.html#SEC2">Tutorial</A>
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116 </UL>116 </UL>
117 <LI><A·NAME="TOC73"·HREF="fftw_7.html#SEC73">Acknowledgments</A>117 <LI><A·NAME="TOC73"·HREF="fftw_7.html#SEC73">Acknowledgments</A>
118 <LI><A·NAME="TOC74"·HREF="fftw_8.html#SEC74">License·and·Copyright</A>118 <LI><A·NAME="TOC74"·HREF="fftw_8.html#SEC74">License·and·Copyright</A>
119 <LI><A·NAME="TOC75"·HREF="fftw_9.html#SEC75">Concept·Index</A>119 <LI><A·NAME="TOC75"·HREF="fftw_9.html#SEC75">Concept·Index</A>
120 <LI><A·NAME="TOC76"·HREF="fftw_10.html#SEC76">Library·Index</A>120 <LI><A·NAME="TOC76"·HREF="fftw_10.html#SEC76">Library·Index</A>
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123 This·document·was·generated·on·6·January·2024·using·the123 This·document·was·generated·on·8·Febuary·2025·using·the
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6 ····*·Introduction6 ····*·Introduction
7 ····*·Tutorial7 ····*·Tutorial
8 ··········o·Complex_One-dimensional_Transforms_Tutorial8 ··········o·Complex_One-dimensional_Transforms_Tutorial
9 ··········o·Complex_Multi-dimensional_Transforms_Tutorial9 ··········o·Complex_Multi-dimensional_Transforms_Tutorial
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76 ··········o·Customizing_the_timer76 ··········o·Customizing_the_timer
77 ··········o·Generating_your_own_code77 ··········o·Generating_your_own_code
78 ····*·Acknowledgments78 ····*·Acknowledgments
79 ····*·License_and_Copyright79 ····*·License_and_Copyright
80 ····*·Concept_Index80 ····*·Concept_Index
81 ····*·Library_Index81 ····*·Library_Index
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