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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 -·05·December·202488 -·07·January·2026
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;·2026·Massachusetts·Institute·of·Technology.
92 </body></html>92 </body></html>
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55 ····*·_\x8Q_\x85_\x8._\x88_\x8._\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x82_\x8._\x81_\x8._\x81_\x8'_\x8s_\x8·_\x8M_\x8P_\x8I_\x8·_\x8t_\x8e_\x8s_\x8t_\x8·_\x8p_\x8r_\x8o_\x8g_\x8r_\x8a_\x8m_\x8s_\x8·_\x8c_\x8r_\x8a_\x8s_\x8h_\x8·_\x8w_\x8i_\x8t_\x8h_\x8·_\x8M_\x8P_\x8I_\x8C_\x8H_\x8.55 ····*·_\x8Q_\x85_\x8._\x88_\x8._\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x82_\x8._\x81_\x8._\x81_\x8'_\x8s_\x8·_\x8M_\x8P_\x8I_\x8·_\x8t_\x8e_\x8s_\x8t_\x8·_\x8p_\x8r_\x8o_\x8g_\x8r_\x8a_\x8m_\x8s_\x8·_\x8c_\x8r_\x8a_\x8s_\x8h_\x8·_\x8w_\x8i_\x8t_\x8h_\x8·_\x8M_\x8P_\x8I_\x8C_\x8H_\x8.
56 ····*·_\x8Q_\x85_\x8._\x89_\x8._\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x82_\x8._\x81_\x8._\x82_\x8'_\x8s_\x8·_\x8m_\x8u_\x8l_\x8t_\x8i_\x8-_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8t_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8d_\x8o_\x8n_\x8'_\x8t_\x8·_\x8w_\x8o_\x8r_\x8k_\x8·_\x8o_\x8n_\x8·_\x8A_\x8I_\x8X_\x8.56 ····*·_\x8Q_\x85_\x8._\x89_\x8._\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x82_\x8._\x81_\x8._\x82_\x8'_\x8s_\x8·_\x8m_\x8u_\x8l_\x8t_\x8i_\x8-_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8t_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8d_\x8o_\x8n_\x8'_\x8t_\x8·_\x8w_\x8o_\x8r_\x8k_\x8·_\x8o_\x8n_\x8·_\x8A_\x8I_\x8X_\x8.
57 ····*·_\x8Q_\x85_\x8._\x81_\x80_\x8._\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x82_\x8._\x81_\x8._\x82_\x8'_\x8s_\x8·_\x8c_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8t_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8g_\x8i_\x8v_\x8e_\x8·_\x8i_\x8n_\x8c_\x8o_\x8r_\x8r_\x8e_\x8c_\x8t_\x8·_\x8r_\x8e_\x8s_\x8u_\x8l_\x8t_\x8s_\x8·_\x8f_\x8o_\x8r_\x8·_\x8l_\x8a_\x8r_\x8g_\x8e57 ····*·_\x8Q_\x85_\x8._\x81_\x80_\x8._\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x82_\x8._\x81_\x8._\x82_\x8'_\x8s_\x8·_\x8c_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8t_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8g_\x8i_\x8v_\x8e_\x8·_\x8i_\x8n_\x8c_\x8o_\x8r_\x8r_\x8e_\x8c_\x8t_\x8·_\x8r_\x8e_\x8s_\x8u_\x8l_\x8t_\x8s_\x8·_\x8f_\x8o_\x8r_\x8·_\x8l_\x8a_\x8r_\x8g_\x8e
58 ······_\x8p_\x8r_\x8i_\x8m_\x8e_\x8·_\x8s_\x8i_\x8z_\x8e_\x8s_\x8.58 ······_\x8p_\x8r_\x8i_\x8m_\x8e_\x8·_\x8s_\x8i_\x8z_\x8e_\x8s_\x8.
59 ····*·_\x8Q_\x85_\x8._\x81_\x81_\x8._\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x82_\x8._\x81_\x8._\x83_\x8·_\x8c_\x8r_\x8a_\x8s_\x8h_\x8e_\x8s_\x8·_\x8o_\x8n_\x8·_\x8A_\x8I_\x8X59 ····*·_\x8Q_\x85_\x8._\x81_\x81_\x8._\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x82_\x8._\x81_\x8._\x83_\x8·_\x8c_\x8r_\x8a_\x8s_\x8h_\x8e_\x8s_\x8·_\x8o_\x8n_\x8·_\x8A_\x8I_\x8X
60 ===============================================================================60 ===============================================================================
61 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·05·December·202461 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·07·January·2026
  
62 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202462 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2026
63 Massachusetts·Institute·of·Technology.63 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 -·05·December·202473 -·07·January·2026
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;·2026·Massachusetts·Institute·of·Technology.
77 </body></html>77 </body></html>
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32 We·could·instead·have·released·FFTW·under·the·LGPL,·or·even·disallowed·non-Free32 We·could·instead·have·released·FFTW·under·the·LGPL,·or·even·disallowed·non-Free
33 usage.·Suffice·it·to·say,·however,·that·MIT·owns·the·copyright·to·FFTW·and·they33 usage.·Suffice·it·to·say,·however,·that·MIT·owns·the·copyright·to·FFTW·and·they
34 only·let·us·GPL·it·because·we·convinced·them·that·it·would·neither·affect·their34 only·let·us·GPL·it·because·we·convinced·them·that·it·would·neither·affect·their
35 licensing·revenue·nor·irritate·existing·licensees.35 licensing·revenue·nor·irritate·existing·licensees.
36 ===============================================================================36 ===============================================================================
37 Next:·_\x8I_\x8n_\x8s_\x8t_\x8a_\x8l_\x8l_\x8i_\x8n_\x8g_\x8·_\x8F_\x8F_\x8T_\x8W.37 Next:·_\x8I_\x8n_\x8s_\x8t_\x8a_\x8l_\x8l_\x8i_\x8n_\x8g_\x8·_\x8F_\x8F_\x8T_\x8W.
38 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.38 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.
39 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·05·December·202439 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·07·January·2026
  
40 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202440 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2026
41 Massachusetts·Institute·of·Technology.41 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 -·05·December·2024166 -·07·January·2026
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;·2026·Massachusetts·Institute·of·Technology.
170 </body></html>170 </body></html>
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87 On·a·Unix·system:·configure·--enable-float.·On·a·non-Unix·system:·edit·fftw/87 On·a·Unix·system:·configure·--enable-float.·On·a·non-Unix·system:·edit·fftw/
88 fftw.h·to·#define·the·symbol·FFTW_ENABLE_FLOAT.·In·both·cases,·you·must·then88 fftw.h·to·#define·the·symbol·FFTW_ENABLE_FLOAT.·In·both·cases,·you·must·then
89 recompile·FFTW.89 recompile·FFTW.
90 ===============================================================================90 ===============================================================================
91 Next:·_\x8U_\x8s_\x8i_\x8n_\x8g_\x8·_\x8F_\x8F_\x8T_\x8W.91 Next:·_\x8U_\x8s_\x8i_\x8n_\x8g_\x8·_\x8F_\x8F_\x8T_\x8W.
92 Back:·_\x8I_\x8n_\x8t_\x8r_\x8o_\x8d_\x8u_\x8c_\x8t_\x8i_\x8o_\x8n_\x8·_\x8a_\x8n_\x8d_\x8·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8l_\x8·_\x8I_\x8n_\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8i_\x8o_\x8n.92 Back:·_\x8I_\x8n_\x8t_\x8r_\x8o_\x8d_\x8u_\x8c_\x8t_\x8i_\x8o_\x8n_\x8·_\x8a_\x8n_\x8d_\x8·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8l_\x8·_\x8I_\x8n_\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8i_\x8o_\x8n.
93 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.93 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.
94 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·05·December·202494 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·07·January·2026
  
95 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202495 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2026
96 Massachusetts·Institute·of·Technology.96 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 -·05·December·2024180 -·07·January·2026
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;·2026·Massachusetts·Institute·of·Technology.
184 </body></html>184 </body></html>
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94 You·cannot·declare·large·arrays·statically;·you·should·use·malloc·(or94 You·cannot·declare·large·arrays·statically;·you·should·use·malloc·(or
95 equivalent)·to·allocate·the·arrays·you·want·to·transform·if·they·are·larger95 equivalent)·to·allocate·the·arrays·you·want·to·transform·if·they·are·larger
96 than·a·few·hundred·elements.96 than·a·few·hundred·elements.
97 ===============================================================================97 ===============================================================================
98 Next:·_\x8I_\x8n_\x8t_\x8e_\x8r_\x8n_\x8a_\x8l_\x8s_\x8·_\x8o_\x8f_\x8·_\x8F_\x8F_\x8T_\x8W.98 Next:·_\x8I_\x8n_\x8t_\x8e_\x8r_\x8n_\x8a_\x8l_\x8s_\x8·_\x8o_\x8f_\x8·_\x8F_\x8F_\x8T_\x8W.
99 Back:·_\x8I_\x8n_\x8s_\x8t_\x8a_\x8l_\x8l_\x8i_\x8n_\x8g_\x8·_\x8F_\x8F_\x8T_\x8W.99 Back:·_\x8I_\x8n_\x8s_\x8t_\x8a_\x8l_\x8l_\x8i_\x8n_\x8g_\x8·_\x8F_\x8F_\x8T_\x8W.
100 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.100 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.
101 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·05·December·2024101 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·07·January·2026
  
102 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2024102 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2026
103 Massachusetts·Institute·of·Technology.103 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 -·05·December·202482 -·07·January·2026
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;·2026·Massachusetts·Institute·of·Technology.
86 </body></html>86 </body></html>
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40 can·be·reused.40 can·be·reused.
41 In·short,·wisdom·does·more·things·with·less·effort,·and·seemed·like·The·Right41 In·short,·wisdom·does·more·things·with·less·effort,·and·seemed·like·The·Right
42 Thing·to·do.42 Thing·to·do.
43 ===============================================================================43 ===============================================================================
44 Next:·_\x8K_\x8n_\x8o_\x8w_\x8n_\x8·_\x8b_\x8u_\x8g_\x8s.44 Next:·_\x8K_\x8n_\x8o_\x8w_\x8n_\x8·_\x8b_\x8u_\x8g_\x8s.
45 Back:·_\x8U_\x8s_\x8i_\x8n_\x8g_\x8·_\x8F_\x8F_\x8T_\x8W.45 Back:·_\x8U_\x8s_\x8i_\x8n_\x8g_\x8·_\x8F_\x8F_\x8T_\x8W.
46 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.46 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.
47 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·05·December·202447 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·07·January·2026
  
48 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202448 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2026
49 Massachusetts·Institute·of·Technology.49 Massachusetts·Institute·of·Technology.
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./usr/share/doc/fftw-docs/FAQ/section5.html
    
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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 -·05·December·2024132 -·07·January·2026
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;·2026·Massachusetts·Institute·of·Technology.
136 </body></html>136 </body></html>
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62 (Sizes·without·large·prime·factors·are·not·affected.)62 (Sizes·without·large·prime·factors·are·not·affected.)
63 *\x8**\x8**\x8**\x8**\x8*·Q\x8Qu\x8ue\x8es\x8st\x8ti\x8io\x8on\x8n·5\x85.\x8.1\x811\x81.\x8.·F\x8FF\x8FT\x8TW\x8W·2\x82.\x8.1\x81.\x8.3\x83·c\x8cr\x8ra\x8as\x8sh\x8he\x8es\x8s·o\x8on\x8n·A\x8AI\x8IX\x8X·*\x8**\x8**\x8**\x8**\x8*63 *\x8**\x8**\x8**\x8**\x8*·Q\x8Qu\x8ue\x8es\x8st\x8ti\x8io\x8on\x8n·5\x85.\x8.1\x811\x81.\x8.·F\x8FF\x8FT\x8TW\x8W·2\x82.\x8.1\x81.\x8.3\x83·c\x8cr\x8ra\x8as\x8sh\x8he\x8es\x8s·o\x8on\x8n·A\x8AI\x8IX\x8X·*\x8**\x8**\x8**\x8**\x8*
64 The·FFTW·2.1.3·configure·script·picked·incorrect·compiler·flags·for·the·xlc64 The·FFTW·2.1.3·configure·script·picked·incorrect·compiler·flags·for·the·xlc
65 compiler·on·newer·IBM·processors.·This·is·fixed·in·FFTW·2.1.4.65 compiler·on·newer·IBM·processors.·This·is·fixed·in·FFTW·2.1.4.
66 ===============================================================================66 ===============================================================================
67 Back:·_\x8I_\x8n_\x8t_\x8e_\x8r_\x8n_\x8a_\x8l_\x8s_\x8·_\x8o_\x8f_\x8·_\x8F_\x8F_\x8T_\x8W.67 Back:·_\x8I_\x8n_\x8t_\x8e_\x8r_\x8n_\x8a_\x8l_\x8s_\x8·_\x8o_\x8f_\x8·_\x8F_\x8F_\x8T_\x8W.
68 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.68 _\x8R_\x8e_\x8t_\x8u_\x8r_\x8n_\x8·_\x8t_\x8o_\x8·_\x8c_\x8o_\x8n_\x8t_\x8e_\x8n_\x8t_\x8s.
69 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·05·December·202469 ·····_\x8M_\x8a_\x8t_\x8t_\x8e_\x8o_\x8·_\x8F_\x8r_\x8i_\x8g_\x8o_\x8·_\x8a_\x8n_\x8d_\x8·_\x8S_\x8t_\x8e_\x8v_\x8e_\x8n_\x8·_\x8G_\x8._\x8·_\x8J_\x8o_\x8h_\x8n_\x8s_\x8o_\x8n·/·_\x8f_\x8f_\x8t_\x8w_\x8@_\x8f_\x8f_\x8t_\x8w_\x8._\x8o_\x8r_\x8g·-·07·January·2026
  
70 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·202470 Extracted·from·FFTW·Frequently·Asked·Questions·with·Answers,·Copyright·©·2026
71 Massachusetts·Institute·of·Technology.71 Massachusetts·Institute·of·Technology.
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1 ············FFTW·FREQUENTLY·ASKED·QUESTIONS·WITH·ANSWERS1 ············FFTW·FREQUENTLY·ASKED·QUESTIONS·WITH·ANSWERS
2 ····························05·Dec·20242 ····························07·Jan·2026
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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./usr/share/doc/fftw-docs/html/fftw_11.html
    
Offset 99, 25 lines modifiedOffset 99, 25 lines modified
99 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftwnd_005fone"><code>fftwnd_one</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-Multi_002ddimensional-Transforms-Tutorial">2.2·Complex·Multi-dimensional·Transforms·Tutorial</a></td></tr>99 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftwnd_005fone"><code>fftwnd_one</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-Multi_002ddimensional-Transforms-Tutorial">2.2·Complex·Multi-dimensional·Transforms·Tutorial</a></td></tr>
100 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftwnd_005fone-1"><code>fftwnd_one</code></a></td><td·valign="top"><a·href="fftw_3.html#fftwnd">3.3.2·Computing·the·Multi-dimensional·Transform</a></td></tr>100 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftwnd_005fone-1"><code>fftwnd_one</code></a></td><td·valign="top"><a·href="fftw_3.html#fftwnd">3.3.2·Computing·the·Multi-dimensional·Transform</a></td></tr>
101 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftwnd_005fplan"><code>fftwnd_plan</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-Multi_002ddimensional-Transforms-Tutorial">2.2·Complex·Multi-dimensional·Transforms·Tutorial</a></td></tr>101 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftwnd_005fplan"><code>fftwnd_plan</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-Multi_002ddimensional-Transforms-Tutorial">2.2·Complex·Multi-dimensional·Transforms·Tutorial</a></td></tr>
102 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftwnd_005fplan-1"><code>fftwnd_plan</code></a></td><td·valign="top"><a·href="fftw_3.html#fftwnd_005fcreate_005fplan">3.3.1·Plan·Creation·for·Multi-dimensional·Transforms</a></td></tr>102 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftwnd_005fplan-1"><code>fftwnd_plan</code></a></td><td·valign="top"><a·href="fftw_3.html#fftwnd_005fcreate_005fplan">3.3.1·Plan·Creation·for·Multi-dimensional·Transforms</a></td></tr>
103 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-fftwnd_005fthreads"><code>fftwnd_threads</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-Multi_002dthreaded-FFTW">4.1.2·Usage·of·Multi-threaded·FFTW</a></td></tr>103 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-fftwnd_005fthreads"><code>fftwnd_threads</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-Multi_002dthreaded-FFTW">4.1.2·Usage·of·Multi-threaded·FFTW</a></td></tr>
104 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-fftwnd_005fthreads_005fone"><code>fftwnd_threads_one</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-Multi_002dthreaded-FFTW">4.1.2·Usage·of·Multi-threaded·FFTW</a></td></tr>104 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-fftwnd_005fthreads_005fone"><code>fftwnd_threads_one</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-Multi_002dthreaded-FFTW">4.1.2·Usage·of·Multi-threaded·FFTW</a></td></tr>
105 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-FFTW_005fBACKWARD"><code>FFTW_BACKWARD</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>105 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-FFTW_005fBACKWARD"><code>FFTW_BACKWARD</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>
106 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fcomplex"><code>fftw_complex</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr> 
107 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fCOMPLEX"><code>FFTW_COMPLEX</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr>106 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fCOMPLEX"><code>FFTW_COMPLEX</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr>
 107 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fcomplex"><code>fftw_complex</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>
108 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fcomplex-1"><code>fftw_complex</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr>108 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fcomplex-1"><code>fftw_complex</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr>
109 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-FFTW_005fCOMPLEX_005fTO_005fREAL"><code>FFTW_COMPLEX_TO_REAL</code></a></td><td·valign="top"><a·href="fftw_2.html#Real-One_002ddimensional-Transforms-Tutorial">2.3·Real·One-dimensional·Transforms·Tutorial</a></td></tr>109 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-FFTW_005fCOMPLEX_005fTO_005fREAL"><code>FFTW_COMPLEX_TO_REAL</code></a></td><td·valign="top"><a·href="fftw_2.html#Real-One_002ddimensional-Transforms-Tutorial">2.3·Real·One-dimensional·Transforms·Tutorial</a></td></tr>
110 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fCOMPLEX_005fTO_005fREAL-1"><code>FFTW_COMPLEX_TO_REAL</code></a></td><td·valign="top"><a·href="fftw_3.html#Arguments-3">Arguments</a></td></tr>110 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fCOMPLEX_005fTO_005fREAL-1"><code>FFTW_COMPLEX_TO_REAL</code></a></td><td·valign="top"><a·href="fftw_3.html#Arguments-3">Arguments</a></td></tr>
111 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-FFTW_005fCOMPLEX_005fTO_005fREAL-2"><code>FFTW_COMPLEX_TO_REAL</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-MPI-FFTW-for-Real-Multi_002ddimensional-Transforms">4.2.4·Usage·of·MPI·FFTW·for·Real·Multi-dimensional·Transforms</a></td></tr>111 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-FFTW_005fCOMPLEX_005fTO_005fREAL-2"><code>FFTW_COMPLEX_TO_REAL</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-MPI-FFTW-for-Real-Multi_002ddimensional-Transforms">4.2.4·Usage·of·MPI·FFTW·for·Real·Multi-dimensional·Transforms</a></td></tr>
112 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fcreate_005fplan"><code>fftw_create_plan</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>112 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fcreate_005fplan"><code>fftw_create_plan</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>
113 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fcreate_005fplan-1"><code>fftw_create_plan</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw_005fcreate_005fplan">3.2.1·Plan·Creation·for·One-dimensional·Transforms</a></td></tr>113 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fcreate_005fplan-1"><code>fftw_create_plan</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw_005fcreate_005fplan">3.2.1·Plan·Creation·for·One-dimensional·Transforms</a></td></tr>
114 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fcreate_005fplan_005fspecific"><code>fftw_create_plan_specific</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw_005fcreate_005fplan">3.2.1·Plan·Creation·for·One-dimensional·Transforms</a></td></tr>114 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fcreate_005fplan_005fspecific"><code>fftw_create_plan_specific</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw_005fcreate_005fplan">3.2.1·Plan·Creation·for·One-dimensional·Transforms</a></td></tr>
115 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fdestroy_005fplan-1"><code>fftw_destroy_plan</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw_005fdestroy_005fplan">3.2.4·Destroying·a·One-dimensional·Plan</a></td></tr> 
116 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fdirection-1"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-Multi_002ddimensional-Transforms-Tutorial">2.2·Complex·Multi-dimensional·Transforms·Tutorial</a></td></tr>115 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fdestroy_005fplan"><code>fftw_destroy_plan</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>
 116 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fdirection"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>
117 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fdirection-2"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_2.html#Real-One_002ddimensional-Transforms-Tutorial">2.3·Real·One-dimensional·Transforms·Tutorial</a></td></tr>117 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fdirection-2"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_2.html#Real-One_002ddimensional-Transforms-Tutorial">2.3·Real·One-dimensional·Transforms·Tutorial</a></td></tr>
118 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fdirection-3"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw_005fcreate_005fplan">3.2.1·Plan·Creation·for·One-dimensional·Transforms</a></td></tr>118 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fdirection-3"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw_005fcreate_005fplan">3.2.1·Plan·Creation·for·One-dimensional·Transforms</a></td></tr>
119 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fdirection-4"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_3.html#fftwnd_005fcreate_005fplan">3.3.1·Plan·Creation·for·Multi-dimensional·Transforms</a></td></tr>119 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fdirection-4"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_3.html#fftwnd_005fcreate_005fplan">3.3.1·Plan·Creation·for·Multi-dimensional·Transforms</a></td></tr>
120 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fdirection-5"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_3.html#rfftwnd_005fcreate_005fplan">3.5.1·Plan·Creation·for·Real·Multi-dimensional·Transforms</a></td></tr>120 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fdirection-5"><code>fftw_direction</code></a></td><td·valign="top"><a·href="fftw_3.html#rfftwnd_005fcreate_005fplan">3.5.1·Plan·Creation·for·Real·Multi-dimensional·Transforms</a></td></tr>
121 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fENABLE_005fFLOAT"><code>FFTW_ENABLE_FLOAT</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr>121 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fENABLE_005fFLOAT"><code>FFTW_ENABLE_FLOAT</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr>
122 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-FFTW_005fESTIMATE"><code>FFTW_ESTIMATE</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>122 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-FFTW_005fESTIMATE"><code>FFTW_ESTIMATE</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>
123 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fexport_005fwisdom"><code>fftw_export_wisdom</code></a></td><td·valign="top"><a·href="fftw_2.html#Words-of-Wisdom">2.6·Words·of·Wisdom</a></td></tr>123 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fexport_005fwisdom"><code>fftw_export_wisdom</code></a></td><td·valign="top"><a·href="fftw_2.html#Words-of-Wisdom">2.6·Words·of·Wisdom</a></td></tr>
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153 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-fftw_005fmpi_005ftest-1"><code>fftw_mpi_test</code></a></td><td·valign="top"><a·href="fftw_4.html#MPI-Tips">4.2.6·MPI·Tips</a></td></tr>153 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-fftw_005fmpi_005ftest-1"><code>fftw_mpi_test</code></a></td><td·valign="top"><a·href="fftw_4.html#MPI-Tips">4.2.6·MPI·Tips</a></td></tr>
154 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-FFTW_005fNORMAL_005fORDER"><code>FFTW_NORMAL_ORDER</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-MPI-FFTW-for-Complex-Multi_002ddimensional-Transforms">4.2.2·Usage·of·MPI·FFTW·for·Complex·Multi-dimensional·Transforms</a></td></tr>154 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-FFTW_005fNORMAL_005fORDER"><code>FFTW_NORMAL_ORDER</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-MPI-FFTW-for-Complex-Multi_002ddimensional-Transforms">4.2.2·Usage·of·MPI·FFTW·for·Complex·Multi-dimensional·Transforms</a></td></tr>
155 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fone"><code>fftw_one</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>155 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fone"><code>fftw_one</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>
156 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fone-1"><code>fftw_one</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw">3.2.3·Computing·the·One-dimensional·Transform</a></td></tr>156 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fone-1"><code>fftw_one</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw">3.2.3·Computing·the·One-dimensional·Transform</a></td></tr>
157 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fOUT_005fOF_005fPLACE"><code>FFTW_OUT_OF_PLACE</code></a></td><td·valign="top"><a·href="fftw_3.html#Arguments-5">Arguments</a></td></tr>157 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fOUT_005fOF_005fPLACE"><code>FFTW_OUT_OF_PLACE</code></a></td><td·valign="top"><a·href="fftw_3.html#Arguments-5">Arguments</a></td></tr>
158 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fplan"><code>fftw_plan</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>158 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-fftw_005fplan"><code>fftw_plan</code></a></td><td·valign="top"><a·href="fftw_2.html#Complex-One_002ddimensional-Transforms-Tutorial">2.1·Complex·One-dimensional·Transforms·Tutorial</a></td></tr>
159 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fplan-1"><code>fftw_plan</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw_005fcreate_005fplan">3.2.1·Plan·Creation·for·One-dimensional·Transforms</a></td></tr>159 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005fplan-1"><code>fftw_plan</code></a></td><td·valign="top"><a·href="fftw_3.html#fftw_005fcreate_005fplan">3.2.1·Plan·Creation·for·One-dimensional·Transforms</a></td></tr>
160 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fREAL"><code>FFTW_REAL</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr> 
161 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005freal"><code>fftw_real</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr>160 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-fftw_005freal"><code>fftw_real</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr>
 161 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fREAL"><code>FFTW_REAL</code></a></td><td·valign="top"><a·href="fftw_3.html#Data-Types">3.1·Data·Types</a></td></tr>
162 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-FFTW_005fREAL_005fTO_005fCOMPLEX"><code>FFTW_REAL_TO_COMPLEX</code></a></td><td·valign="top"><a·href="fftw_2.html#Real-One_002ddimensional-Transforms-Tutorial">2.3·Real·One-dimensional·Transforms·Tutorial</a></td></tr>162 <tr><td></td><td·valign="top"><a·href="fftw_2.html#index-FFTW_005fREAL_005fTO_005fCOMPLEX"><code>FFTW_REAL_TO_COMPLEX</code></a></td><td·valign="top"><a·href="fftw_2.html#Real-One_002ddimensional-Transforms-Tutorial">2.3·Real·One-dimensional·Transforms·Tutorial</a></td></tr>
163 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fREAL_005fTO_005fCOMPLEX-1"><code>FFTW_REAL_TO_COMPLEX</code></a></td><td·valign="top"><a·href="fftw_3.html#Arguments-3">Arguments</a></td></tr>163 <tr><td></td><td·valign="top"><a·href="fftw_3.html#index-FFTW_005fREAL_005fTO_005fCOMPLEX-1"><code>FFTW_REAL_TO_COMPLEX</code></a></td><td·valign="top"><a·href="fftw_3.html#Arguments-3">Arguments</a></td></tr>
164 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-FFTW_005fSCRAMBLED_005fINPUT"><code>FFTW_SCRAMBLED_INPUT</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-MPI-FFTW-for-Complex-One_002ddimensional-Transforms">4.2.5·Usage·of·MPI·FFTW·for·Complex·One-dimensional·Transforms</a></td></tr>164 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-FFTW_005fSCRAMBLED_005fINPUT"><code>FFTW_SCRAMBLED_INPUT</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-MPI-FFTW-for-Complex-One_002ddimensional-Transforms">4.2.5·Usage·of·MPI·FFTW·for·Complex·One-dimensional·Transforms</a></td></tr>
165 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-FFTW_005fSCRAMBLED_005fOUTPUT"><code>FFTW_SCRAMBLED_OUTPUT</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-MPI-FFTW-for-Complex-One_002ddimensional-Transforms">4.2.5·Usage·of·MPI·FFTW·for·Complex·One-dimensional·Transforms</a></td></tr>165 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-FFTW_005fSCRAMBLED_005fOUTPUT"><code>FFTW_SCRAMBLED_OUTPUT</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-MPI-FFTW-for-Complex-One_002ddimensional-Transforms">4.2.5·Usage·of·MPI·FFTW·for·Complex·One-dimensional·Transforms</a></td></tr>
166 <tr><td></td><td·valign="top"><a·href="fftw_6.html#index-fftw_005ftest"><code>fftw_test</code></a></td><td·valign="top"><a·href="fftw_6.html#Installation-on-non_002dUnix-Systems">6.2·Installation·on·non-Unix·Systems</a></td></tr>166 <tr><td></td><td·valign="top"><a·href="fftw_6.html#index-fftw_005ftest"><code>fftw_test</code></a></td><td·valign="top"><a·href="fftw_6.html#Installation-on-non_002dUnix-Systems">6.2·Installation·on·non-Unix·Systems</a></td></tr>
167 <tr><td></td><td·valign="top"><a·href="fftw_6.html#index-fftw_005ftest-1"><code>fftw_test</code></a></td><td·valign="top"><a·href="fftw_6.html#gcc-and-Pentium-hacks">6.4·<code>gcc</code>·and·Pentium·hacks</a></td></tr>167 <tr><td></td><td·valign="top"><a·href="fftw_6.html#index-fftw_005ftest-1"><code>fftw_test</code></a></td><td·valign="top"><a·href="fftw_6.html#gcc-and-Pentium-hacks">6.4·<code>gcc</code>·and·Pentium·hacks</a></td></tr>
168 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-fftw_005fthreads"><code>fftw_threads</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-Multi_002dthreaded-FFTW">4.1.2·Usage·of·Multi-threaded·FFTW</a></td></tr>168 <tr><td></td><td·valign="top"><a·href="fftw_4.html#index-fftw_005fthreads"><code>fftw_threads</code></a></td><td·valign="top"><a·href="fftw_4.html#Usage-of-Multi_002dthreaded-FFTW">4.1.2·Usage·of·Multi-threaded·FFTW</a></td></tr>
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66 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X_\x8__\x8T_\x8O_\x8__\x8R_\x8E_\x8A_\x8L···········_\x82_\x8._\x83_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l66 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X_\x8__\x8T_\x8O_\x8__\x8R_\x8E_\x8A_\x8L···········_\x82_\x8._\x83_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l
67 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X_\x8__\x8T_\x8O_\x8__\x8R_\x8E_\x8A_\x8L···········_\x8A_\x8r_\x8g_\x8u_\x8m_\x8e_\x8n_\x8t_\x8s67 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X_\x8__\x8T_\x8O_\x8__\x8R_\x8E_\x8A_\x8L···········_\x8A_\x8r_\x8g_\x8u_\x8m_\x8e_\x8n_\x8t_\x8s
68 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X_\x8__\x8T_\x8O_\x8__\x8R_\x8E_\x8A_\x8L···········_\x84_\x8._\x82_\x8._\x84_\x8·_\x8U_\x8s_\x8a_\x8g_\x8e_\x8·_\x8o_\x8f_\x8·_\x8M_\x8P_\x8I_\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x8f_\x8o_\x8r_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8M_\x8u_\x8l_\x8t_\x8i_\x8-68 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X_\x8__\x8T_\x8O_\x8__\x8R_\x8E_\x8A_\x8L···········_\x84_\x8._\x82_\x8._\x84_\x8·_\x8U_\x8s_\x8a_\x8g_\x8e_\x8·_\x8o_\x8f_\x8·_\x8M_\x8P_\x8I_\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x8f_\x8o_\x8r_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8M_\x8u_\x8l_\x8t_\x8i_\x8-
69 ·································_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s69 ·································_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
70 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8c_\x8r_\x8e_\x8a_\x8t_\x8e_\x8__\x8p_\x8l_\x8a_\x8n···············_\x82_\x8._\x81_\x8·_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s70 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8c_\x8r_\x8e_\x8a_\x8t_\x8e_\x8__\x8p_\x8l_\x8a_\x8n···············_\x82_\x8._\x81_\x8·_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
71 ·································_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l71 ·································_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l
72 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8c_\x8r_\x8e_\x8a_\x8t_\x8e_\x8__\x8p_\x8l_\x8a_\x8n···············_\x83_\x8._\x82_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l72 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8c_\x8r_\x8e_\x8a_\x8t_\x8e_\x8__\x8p_\x8l_\x8a_\x8n···············_\x83_\x8._\x82_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l
73 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s73 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
74 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8c_\x8r_\x8e_\x8a_\x8t_\x8e_\x8__\x8p_\x8l_\x8a_\x8n_\x8__\x8s_\x8p_\x8e_\x8c_\x8i_\x8f_\x8i_\x8c······_\x83_\x8._\x82_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l74 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8c_\x8r_\x8e_\x8a_\x8t_\x8e_\x8__\x8p_\x8l_\x8a_\x8n_\x8__\x8s_\x8p_\x8e_\x8c_\x8i_\x8f_\x8i_\x8c······_\x83_\x8._\x82_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l
75 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s75 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
76 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8e_\x8s_\x8t_\x8r_\x8o_\x8y_\x8__\x8p_\x8l_\x8a_\x8n··············_\x83_.._.2_.._.4_.·_.D_.e_.s_.t_.r_.o_.y_.i_.n_.g_.·_.a_.·_.O_.n_.e_.-_.d_.i_.m_.e_.n_.s_.i_.o_.n_.a_.l_.·_.P_.l_.a_.n76 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8e_\x8s_\x8t_\x8r_\x8o_\x8y_\x8__\x8p_\x8l_\x8a_\x8n··············_\x82_.._.1_.·_.C_.o_.m_.p_.l_.e_.x_.·_.O_.n_.e_.-_.d_.i_.m_.e_.n_.s_.i_.o_.n_.a_.l_.·_.T_.r_.a_.n_.s_.f_.o_.r_.m_.s
 77 ·································_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l
77 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x82_\x8._\x82_.·_.C_.o_.m_.p_.l_.e_.x_.·_.M_.u_.l_.t_.i_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s78 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x82_\x8._\x81_.·_.C_.o_.m_.p_.l_.e_.x_.·_.O_.n_.e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
78 ·································_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l79 ·································_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l
79 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x82_\x8._\x83_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l80 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x82_\x8._\x83_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l
80 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x83_\x8._\x82_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l81 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x83_\x8._\x82_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l
81 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s82 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
82 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x83_\x8._\x83_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8M_\x8u_\x8l_\x8t_\x8i_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l83 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x83_\x8._\x83_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8M_\x8u_\x8l_\x8t_\x8i_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l
83 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s84 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
84 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x83_\x8._\x85_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8M_\x8u_\x8l_\x8t_\x8i_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l85 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8d_\x8i_\x8r_\x8e_\x8c_\x8t_\x8i_\x8o_\x8n·················_\x83_\x8._\x85_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8M_\x8u_\x8l_\x8t_\x8i_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l
Offset 131, 16 lines modifiedOffset 132, 16 lines modified
131 ·································_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l132 ·································_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l
132 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8o_\x8n_\x8e·······················_\x83_\x8._\x82_\x8._\x83_\x8·_\x8C_\x8o_\x8m_\x8p_\x8u_\x8t_\x8i_\x8n_\x8g_\x8·_\x8t_\x8h_\x8e_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m133 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8o_\x8n_\x8e·······················_\x83_\x8._\x82_\x8._\x83_\x8·_\x8C_\x8o_\x8m_\x8p_\x8u_\x8t_\x8i_\x8n_\x8g_\x8·_\x8t_\x8h_\x8e_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m
133 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8O_\x8U_\x8T_\x8__\x8O_\x8F_\x8__\x8P_\x8L_\x8A_\x8C_\x8E··············_\x8A_\x8r_\x8g_\x8u_\x8m_\x8e_\x8n_\x8t_\x8s134 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8O_\x8U_\x8T_\x8__\x8O_\x8F_\x8__\x8P_\x8L_\x8A_\x8C_\x8E··············_\x8A_\x8r_\x8g_\x8u_\x8m_\x8e_\x8n_\x8t_\x8s
134 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8p_\x8l_\x8a_\x8n······················_\x82_\x8._\x81_\x8·_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s135 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8p_\x8l_\x8a_\x8n······················_\x82_\x8._\x81_\x8·_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
135 ·································_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l136 ·································_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l
136 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8p_\x8l_\x8a_\x8n······················_\x83_\x8._\x82_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l137 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8p_\x8l_\x8a_\x8n······················_\x83_\x8._\x82_\x8._\x81_\x8·_\x8P_\x8l_\x8a_\x8n_\x8·_\x8C_\x8r_\x8e_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8f_\x8o_\x8r_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l
137 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s138 ·································_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
138 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8R_\x8E_\x8A_\x8L······················_\x83_\x8._\x81_\x8·_\x8D_\x8a_\x8t_\x8a_\x8·_\x8T_\x8y_\x8p_\x8e_\x8s 
139 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8r_\x8e_\x8a_\x8l······················_\x83_\x8._\x81_\x8·_\x8D_\x8a_\x8t_\x8a_\x8·_\x8T_\x8y_\x8p_\x8e_\x8s139 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8r_\x8e_\x8a_\x8l······················_\x83_\x8._\x81_\x8·_\x8D_\x8a_\x8t_\x8a_\x8·_\x8T_\x8y_\x8p_\x8e_\x8s
 140 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8R_\x8E_\x8A_\x8L······················_\x83_\x8._\x81_\x8·_\x8D_\x8a_\x8t_\x8a_\x8·_\x8T_\x8y_\x8p_\x8e_\x8s
140 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8R_\x8E_\x8A_\x8L_\x8__\x8T_\x8O_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X···········_\x82_\x8._\x83_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l141 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8R_\x8E_\x8A_\x8L_\x8__\x8T_\x8O_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X···········_\x82_\x8._\x83_\x8·_\x8R_\x8e_\x8a_\x8l_\x8·_\x8O_\x8n_\x8e_\x8-_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s_\x8·_\x8T_\x8u_\x8t_\x8o_\x8r_\x8i_\x8a_\x8l
141 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8R_\x8E_\x8A_\x8L_\x8__\x8T_\x8O_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X···········_\x8A_\x8r_\x8g_\x8u_\x8m_\x8e_\x8n_\x8t_\x8s142 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8R_\x8E_\x8A_\x8L_\x8__\x8T_\x8O_\x8__\x8C_\x8O_\x8M_\x8P_\x8L_\x8E_\x8X···········_\x8A_\x8r_\x8g_\x8u_\x8m_\x8e_\x8n_\x8t_\x8s
142 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8S_\x8C_\x8R_\x8A_\x8M_\x8B_\x8L_\x8E_\x8D_\x8__\x8I_\x8N_\x8P_\x8U_\x8T···········_\x84_\x8._\x82_\x8._\x85_\x8·_\x8U_\x8s_\x8a_\x8g_\x8e_\x8·_\x8o_\x8f_\x8·_\x8M_\x8P_\x8I_\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x8f_\x8o_\x8r_\x8·_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8O_\x8n_\x8e_\x8-143 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8S_\x8C_\x8R_\x8A_\x8M_\x8B_\x8L_\x8E_\x8D_\x8__\x8I_\x8N_\x8P_\x8U_\x8T···········_\x84_\x8._\x82_\x8._\x85_\x8·_\x8U_\x8s_\x8a_\x8g_\x8e_\x8·_\x8o_\x8f_\x8·_\x8M_\x8P_\x8I_\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x8f_\x8o_\x8r_\x8·_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8O_\x8n_\x8e_\x8-
143 ·································_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s144 ·································_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
144 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8S_\x8C_\x8R_\x8A_\x8M_\x8B_\x8L_\x8E_\x8D_\x8__\x8O_\x8U_\x8T_\x8P_\x8U_\x8T··········_\x84_\x8._\x82_\x8._\x85_\x8·_\x8U_\x8s_\x8a_\x8g_\x8e_\x8·_\x8o_\x8f_\x8·_\x8M_\x8P_\x8I_\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x8f_\x8o_\x8r_\x8·_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8O_\x8n_\x8e_\x8-145 ··_\x8F_\x8F_\x8T_\x8W_\x8__\x8S_\x8C_\x8R_\x8A_\x8M_\x8B_\x8L_\x8E_\x8D_\x8__\x8O_\x8U_\x8T_\x8P_\x8U_\x8T··········_\x84_\x8._\x82_\x8._\x85_\x8·_\x8U_\x8s_\x8a_\x8g_\x8e_\x8·_\x8o_\x8f_\x8·_\x8M_\x8P_\x8I_\x8·_\x8F_\x8F_\x8T_\x8W_\x8·_\x8f_\x8o_\x8r_\x8·_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x_\x8·_\x8O_\x8n_\x8e_\x8-
145 ·································_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s146 ·································_\x8d_\x8i_\x8m_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8a_\x8l_\x8·_\x8T_\x8r_\x8a_\x8n_\x8s_\x8f_\x8o_\x8r_\x8m_\x8s
146 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8t_\x8e_\x8s_\x8t······················_\x86_\x8._\x82_\x8·_\x8I_\x8n_\x8s_\x8t_\x8a_\x8l_\x8l_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8o_\x8n_\x8·_\x8n_\x8o_\x8n_\x8-_\x8U_\x8n_\x8i_\x8x_\x8·_\x8S_\x8y_\x8s_\x8t_\x8e_\x8m_\x8s147 ··_\x8f_\x8f_\x8t_\x8w_\x8__\x8t_\x8e_\x8s_\x8t······················_\x86_\x8._\x82_\x8·_\x8I_\x8n_\x8s_\x8t_\x8a_\x8l_\x8l_\x8a_\x8t_\x8i_\x8o_\x8n_\x8·_\x8o_\x8n_\x8·_\x8n_\x8o_\x8n_\x8-_\x8U_\x8n_\x8i_\x8x_\x8·_\x8S_\x8y_\x8s_\x8t_\x8e_\x8m_\x8s
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