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67<h1>transforms.h File Reference</h1>Fourier, Hadamard, Walsh-Hadamard, and 2D Hadamard transforms - header file. 
68<a href="#_details">More...</a>
69<p>
70<code>#include &lt;itpp/config.h&gt;</code><br>
71<code>#include &lt;<a class="el" href="vec_8h-source.html">itpp/base/vec.h</a>&gt;</code><br>
72<code>#include &lt;<a class="el" href="mat_8h-source.html">itpp/base/mat.h</a>&gt;</code><br>
73<code>#include &lt;<a class="el" href="matfunc_8h-source.html">itpp/base/matfunc.h</a>&gt;</code><br>
74
75<p>
76<a href="transforms_8h-source.html">Go to the source code of this file.</a><table border="0" cellpadding="0" cellspacing="0">
77<tr><td></td></tr>
78<tr><td colspan="2"><br><h2>Functions</h2></td></tr>
79<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g09570749435a31f49e31f905ed39e0f1"></a><!-- doxytag: member="transforms.h::fft" ref="g09570749435a31f49e31f905ed39e0f1" args="(const cvec &amp;in, cvec &amp;out)" -->
80void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g09570749435a31f49e31f905ed39e0f1">itpp::fft</a> (const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;in, <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;out)</td></tr>
81
82<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast Fourier Transform. <br></td></tr>
83<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g775759be446df573489daeaa57bbebf0"></a><!-- doxytag: member="transforms.h::fft" ref="g775759be446df573489daeaa57bbebf0" args="(const cvec &amp;in)" -->
84<a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g775759be446df573489daeaa57bbebf0">itpp::fft</a> (const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;in)</td></tr>
85
86<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast Fourier Transform. <br></td></tr>
87<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g47b556fc383bceb3cc562045acfa9f00"></a><!-- doxytag: member="transforms.h::fft" ref="g47b556fc383bceb3cc562045acfa9f00" args="(const cvec &amp;in, const int N)" -->
88<a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g47b556fc383bceb3cc562045acfa9f00">itpp::fft</a> (const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;in, const int N)</td></tr>
89
90<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast Fourier Transform, with zero-padding up to size N. <br></td></tr>
91<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="gebcff694509f7327dc33294b6509c898"></a><!-- doxytag: member="transforms.h::ifft" ref="gebcff694509f7327dc33294b6509c898" args="(const cvec &amp;in, cvec &amp;out)" -->
92void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#gebcff694509f7327dc33294b6509c898">itpp::ifft</a> (const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;in, <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;out)</td></tr>
93
94<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse Fast Fourier Transform. <br></td></tr>
95<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g94f627e1158bfaad7e8a44983b3ef2c8"></a><!-- doxytag: member="transforms.h::ifft" ref="g94f627e1158bfaad7e8a44983b3ef2c8" args="(const cvec &amp;in)" -->
96<a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g94f627e1158bfaad7e8a44983b3ef2c8">itpp::ifft</a> (const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;in)</td></tr>
97
98<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse Fast Fourier Transform. <br></td></tr>
99<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="gda0d68d66e55693b98d6f5a374943593"></a><!-- doxytag: member="transforms.h::ifft" ref="gda0d68d66e55693b98d6f5a374943593" args="(const cvec &amp;in, const int N)" -->
100<a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#gda0d68d66e55693b98d6f5a374943593">itpp::ifft</a> (const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;in, const int N)</td></tr>
101
102<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse Fast Fourier Transform, with zero-padding up to size N. <br></td></tr>
103<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g74452ecda507ce524c3a65d46ddb6d55"></a><!-- doxytag: member="transforms.h::fft_real" ref="g74452ecda507ce524c3a65d46ddb6d55" args="(const vec &amp;in, cvec &amp;out)" -->
104void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g74452ecda507ce524c3a65d46ddb6d55">itpp::fft_real</a> (const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;in, <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;out)</td></tr>
105
106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Real Fast Fourier Transform. <br></td></tr>
107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g95c44ca850df9bb948f5c3f6da5d4080"></a><!-- doxytag: member="transforms.h::fft_real" ref="g95c44ca850df9bb948f5c3f6da5d4080" args="(const vec &amp;in)" -->
108<a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g95c44ca850df9bb948f5c3f6da5d4080">itpp::fft_real</a> (const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;in)</td></tr>
109
110<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Real Fast Fourier Transform. <br></td></tr>
111<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g907314f1fcae54228f62d9de06382fd8"></a><!-- doxytag: member="transforms.h::fft_real" ref="g907314f1fcae54228f62d9de06382fd8" args="(const vec &amp;in, const int N)" -->
112<a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g907314f1fcae54228f62d9de06382fd8">itpp::fft_real</a> (const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;in, const int N)</td></tr>
113
114<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Real Fast Fourier Transform, with zero-padding up to size N. <br></td></tr>
115<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g3e13112d3fbd59d6099561e552389249"></a><!-- doxytag: member="transforms.h::ifft_real" ref="g3e13112d3fbd59d6099561e552389249" args="(const cvec &amp;in, vec &amp;out)" -->
116void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g3e13112d3fbd59d6099561e552389249">itpp::ifft_real</a> (const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;in, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;out)</td></tr>
117
118<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse Real Fast Fourier Transform. Assumes even size. <br></td></tr>
119<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g4b3665be18735eeb0219c42175bea81b"></a><!-- doxytag: member="transforms.h::ifft_real" ref="g4b3665be18735eeb0219c42175bea81b" args="(const cvec &amp;in)" -->
120<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g4b3665be18735eeb0219c42175bea81b">itpp::ifft_real</a> (const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;in)</td></tr>
121
122<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse Real Fast Fourier Transform. Assumes even size. <br></td></tr>
123<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g032f33ed9bd8e7b794c6ee2eb3456f68"></a><!-- doxytag: member="transforms.h::ifft_real" ref="g032f33ed9bd8e7b794c6ee2eb3456f68" args="(const cvec &amp;in, const int N)" -->
124<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fft.html#g032f33ed9bd8e7b794c6ee2eb3456f68">itpp::ifft_real</a> (const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &amp;in, const int N)</td></tr>
125
126<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse Real Fast Fourier Transform, with zero-padding up to size N. <br></td></tr>
127<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g8c08cf857cfcb687d996f85ad7d73c4e"></a><!-- doxytag: member="transforms.h::dct" ref="g8c08cf857cfcb687d996f85ad7d73c4e" args="(const vec &amp;in, vec &amp;out)" -->
128void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__dct.html#g8c08cf857cfcb687d996f85ad7d73c4e">itpp::dct</a> (const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;in, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;out)</td></tr>
129
130<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Discrete Cosine Transform (DCT). <br></td></tr>
131<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g00edf4680dd48a395f1e068996d70dbd"></a><!-- doxytag: member="transforms.h::dct" ref="g00edf4680dd48a395f1e068996d70dbd" args="(const vec &amp;in)" -->
132<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__dct.html#g00edf4680dd48a395f1e068996d70dbd">itpp::dct</a> (const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;in)</td></tr>
133
134<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Discrete Cosine Transform (DCT). <br></td></tr>
135<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="gbacbd75dce6d1661597332664eded3ac"></a><!-- doxytag: member="transforms.h::idct" ref="gbacbd75dce6d1661597332664eded3ac" args="(const vec &amp;in, vec &amp;out)" -->
136void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__dct.html#gbacbd75dce6d1661597332664eded3ac">itpp::idct</a> (const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;in, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;out)</td></tr>
137
138<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse Discrete Cosine Transform (IDCT). <br></td></tr>
139<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g941866a19b82318fa8ca2124fdbaa53c"></a><!-- doxytag: member="transforms.h::idct" ref="g941866a19b82318fa8ca2124fdbaa53c" args="(const vec &amp;in)" -->
140<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__dct.html#g941866a19b82318fa8ca2124fdbaa53c">itpp::idct</a> (const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;in)</td></tr>
141
142<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inverse Discrete Cosine Transform (IDCT). <br></td></tr>
143<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g41656c44667b6cddbdabcaf9304e633f"></a><!-- doxytag: member="transforms.h::dht" ref="g41656c44667b6cddbdabcaf9304e633f" args="(const Vec&lt; T &gt; &amp;v)" -->
144template&lt;class T &gt; </td></tr>
145<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec&lt; T &gt;&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__fht.html#g41656c44667b6cddbdabcaf9304e633f">itpp::dht</a> (const Vec&lt; T &gt; &amp;v)</td></tr>
146
147<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast Hadamard Transform. <br></td></tr>
148<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g5b4a032c5a4a9f9257837b30670819d0"></a><!-- doxytag: member="transforms.h::dht" ref="g5b4a032c5a4a9f9257837b30670819d0" args="(const Vec&lt; T &gt; &amp;vin, Vec&lt; T &gt; &amp;vout)" -->
149template&lt;class T &gt; </td></tr>
150<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__fht.html#g5b4a032c5a4a9f9257837b30670819d0">itpp::dht</a> (const Vec&lt; T &gt; &amp;vin, Vec&lt; T &gt; &amp;vout)</td></tr>
151
152<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast Hadamard Transform. <br></td></tr>
153<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g3313b1adce6c85bfaf097a2f096656e2"></a><!-- doxytag: member="transforms.h::self_dht" ref="g3313b1adce6c85bfaf097a2f096656e2" args="(Vec&lt; T &gt; &amp;v)" -->
154template&lt;class T &gt; </td></tr>
155<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__fht.html#g3313b1adce6c85bfaf097a2f096656e2">itpp::self_dht</a> (Vec&lt; T &gt; &amp;v)</td></tr>
156
157<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast Hadamard Transform - memory efficient. Stores the result in <code>v</code>. <br></td></tr>
158<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g2dc7b4c3f529236a758e5321f3e7d047"></a><!-- doxytag: member="transforms.h::dwht" ref="g2dc7b4c3f529236a758e5321f3e7d047" args="(const Vec&lt; T &gt; &amp;v)" -->
159template&lt;class T &gt; </td></tr>
160<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec&lt; T &gt;&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__fht.html#g2dc7b4c3f529236a758e5321f3e7d047">itpp::dwht</a> (const Vec&lt; T &gt; &amp;v)</td></tr>
161
162<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast Walsh Hadamard Transform. <br></td></tr>
163<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gc5230d121c88abf9a6e7cb274ad1d96f"></a><!-- doxytag: member="transforms.h::dwht" ref="gc5230d121c88abf9a6e7cb274ad1d96f" args="(const Vec&lt; T &gt; &amp;vin, Vec&lt; T &gt; &amp;vout)" -->
164template&lt;class T &gt; </td></tr>
165<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__fht.html#gc5230d121c88abf9a6e7cb274ad1d96f">itpp::dwht</a> (const Vec&lt; T &gt; &amp;vin, Vec&lt; T &gt; &amp;vout)</td></tr>
166
167<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast Walsh Hadamard Transform. <br></td></tr>
168<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="ge57eb770500e2e9f8ebca20546670a4d"></a><!-- doxytag: member="transforms.h::self_dwht" ref="ge57eb770500e2e9f8ebca20546670a4d" args="(Vec&lt; T &gt; &amp;v)" -->
169template&lt;class T &gt; </td></tr>
170<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__fht.html#ge57eb770500e2e9f8ebca20546670a4d">itpp::self_dwht</a> (Vec&lt; T &gt; &amp;v)</td></tr>
171
172<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast Walsh Hadamard Transform - memory efficient (result in <code>v</code>). <br></td></tr>
173<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g1f0aff290f44fb18211840c97ab392cd"></a><!-- doxytag: member="transforms.h::dht2" ref="g1f0aff290f44fb18211840c97ab392cd" args="(const Mat&lt; T &gt; &amp;m)" -->
174template&lt;class T &gt; </td></tr>
175<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat&lt; T &gt;&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__fht.html#g1f0aff290f44fb18211840c97ab392cd">itpp::dht2</a> (const Mat&lt; T &gt; &amp;m)</td></tr>
176
177<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast 2D Hadamard Transform. <br></td></tr>
178<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g002b2897a60f4ad7bccc33f8342a7d4a"></a><!-- doxytag: member="transforms.h::dwht2" ref="g002b2897a60f4ad7bccc33f8342a7d4a" args="(const Mat&lt; T &gt; &amp;m)" -->
179template&lt;class T &gt; </td></tr>
180<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat&lt; T &gt;&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__fht.html#g002b2897a60f4ad7bccc33f8342a7d4a">itpp::dwht2</a> (const Mat&lt; T &gt; &amp;m)</td></tr>
181
182<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Fast 2D Walsh Hadamard Transform. <br></td></tr>
183<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="2748331ed707621aff1a6ac33a8002bb"></a><!-- doxytag: member="transforms.h::bitrv" ref="2748331ed707621aff1a6ac33a8002bb" args="(Vec&lt; T &gt; &amp;out)" -->
184template&lt;class T &gt; </td></tr>
185<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceitpp.html#2748331ed707621aff1a6ac33a8002bb">itpp::bitrv</a> (Vec&lt; T &gt; &amp;out)</td></tr>
186
187<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bit reverse. <br></td></tr>
188</table>
189<hr><a name="_details"></a><h2>Detailed Description</h2>
190Fourier, Hadamard, Walsh-Hadamard, and 2D Hadamard transforms - header file.
191<p>
192<dl class="author" compact><dt><b>Author:</b></dt><dd>Tony Ottosson, Thomas Eriksson, Simon Wood and Adam Piatyszek</dd></dl>
193-------------------------------------------------------------------------<p>
194Copyright (C) 1995-2008 (see AUTHORS file for a list of contributors)<p>
195This file is part of IT++ - a C++ library of mathematical, signal processing, speech processing, and communications classes and functions.<p>
196IT++ is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.<p>
197IT++ is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.<p>
198You should have received a copy of the GNU General Public License along with IT++. If not, see &lt;<a href="http://www.gnu.org/licenses/">http://www.gnu.org/licenses/</a>&gt;.<p>
199------------------------------------------------------------------------- </div>
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