root/doc/html/classbdm_1_1mlstudent.html @ 270

Revision 270, 20.8 kB (checked in by smidl, 16 years ago)

Changes in the very root classes!
* rv and rvc are no longer compulsory,
* samplecond does not return ll
* BM has drv

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31<h1>bdm::mlstudent Class Reference</h1><!-- doxytag: class="bdm::mlstudent" --><!-- doxytag: inherits="mlnorm&lt; ldmat &gt;" --><code>#include &lt;<a class="el" href="libEF_8h-source.html">libEF.h</a>&gt;</code>
32<p>
33<div class="dynheader">
34Inheritance diagram for bdm::mlstudent:</div>
35<div class="dynsection">
36<p><center><img src="classbdm_1_1mlstudent__inherit__graph.png" border="0" usemap="#bdm_1_1mlstudent__inherit__map" alt="Inheritance graph"></center>
37<map name="bdm_1_1mlstudent__inherit__map">
38<area shape="rect" href="classbdm_1_1mlnorm.html" title="bdm::mlnorm\&lt; ldmat \&gt;" alt="" coords="5,343,181,369"><area shape="rect" href="classbdm_1_1mEF.html" title="Exponential family model." alt="" coords="25,167,111,193"><area shape="rect" href="classbdm_1_1mlnorm.html" title="Normal distributed linear function with linear function of mean value;." alt="" coords="89,247,257,273"><area shape="rect" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="23,87,113,113"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="12,7,124,33"></map>
39<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
40
41<p>
42<a href="classbdm_1_1mlstudent-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2>
43(Approximate) Student t density with linear function of mean value<p>
44The internal <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> of this class is of the type of a Gaussian (<a class="el" href="classbdm_1_1enorm.html" title="Gaussian density with positive definite (decomposed) covariance matrix.">enorm</a>). However, each conditioning is trying to assure the best possible approximation by taking into account the zeta function. See [] for reference.<p>
45Perhaps a moment-matching technique? <table border="0" cellpadding="0" cellspacing="0">
46<tr><td></td></tr>
47<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
48<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="4cdf79aac1b2165c0290e73810a0e4a3"></a><!-- doxytag: member="bdm::mlstudent::set_parameters" ref="4cdf79aac1b2165c0290e73810a0e4a3" args="(const mat &amp;A0, const vec &amp;mu0, const ldmat &amp;R0, const ldmat &amp;Lambda0)" -->
49void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_parameters</b> (const mat &amp;A0, const vec &amp;mu0, const <a class="el" href="classldmat.html">ldmat</a> &amp;R0, const <a class="el" href="classldmat.html">ldmat</a> &amp;Lambda0)</td></tr>
50
51<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="efd37560585c8613897f30d3c2f58d0d"></a><!-- doxytag: member="bdm::mlstudent::condition" ref="efd37560585c8613897f30d3c2f58d0d" args="(const vec &amp;cond)" -->
52void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlstudent.html#efd37560585c8613897f30d3c2f58d0d">condition</a> (const vec &amp;cond)</td></tr>
53
54<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set value of <code>rvc</code> . Result of this operation is stored in <code><a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a></code> use function <code>_ep</code> to access it. <br></td></tr>
55<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5d18dec3167584338a4775c1d165d96f"></a><!-- doxytag: member="bdm::mlstudent::set_parameters" ref="5d18dec3167584338a4775c1d165d96f" args="(const mat &amp;A, const vec &amp;mu0, const ldmat &amp;R)" -->
56void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlnorm.html#5d18dec3167584338a4775c1d165d96f">set_parameters</a> (const mat &amp;A, const vec &amp;mu0, const <a class="el" href="classldmat.html">ldmat</a> &amp;R)</td></tr>
57
58<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set <code>A</code> and <code>R</code>. <br></td></tr>
59<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="56e587952f94fcac6cfc999eae6dbced"></a><!-- doxytag: member="bdm::mlstudent::_mu_const" ref="56e587952f94fcac6cfc999eae6dbced" args="()" -->
60vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlnorm.html#56e587952f94fcac6cfc999eae6dbced">_mu_const</a> ()</td></tr>
61
62<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
63<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="262a2a486bff585f34bb6a5005b02614"></a><!-- doxytag: member="bdm::mlstudent::_A" ref="262a2a486bff585f34bb6a5005b02614" args="()" -->
64mat &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlnorm.html#262a2a486bff585f34bb6a5005b02614">_A</a> ()</td></tr>
65
66<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
67<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="78120ecd1c2b1d7e80124b4603504604"></a><!-- doxytag: member="bdm::mlstudent::_R" ref="78120ecd1c2b1d7e80124b4603504604" args="()" -->
68mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlnorm.html#78120ecd1c2b1d7e80124b4603504604">_R</a> ()</td></tr>
69
70<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
71<tr><td colspan="2"><div class="groupHeader">Matematical operations</div></td></tr>
72<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#f0c1db6fcbb3aae2dd6123884457a367">samplecond</a> (const vec &amp;cond)</td></tr>
73
74<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr>
75<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#afe4185b26baeb03688202e254d3b005">samplecond_m</a> (const vec &amp;cond, int N)</td></tr>
76
77<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns.  <a href="#afe4185b26baeb03688202e254d3b005"></a><br></td></tr>
78<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6336a8a72462e2a56a3989a220f18b1b"></a><!-- doxytag: member="bdm::mlstudent::evallogcond" ref="6336a8a72462e2a56a3989a220f18b1b" args="(const vec &amp;dt, const vec &amp;cond)" -->
79virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#6336a8a72462e2a56a3989a220f18b1b">evallogcond</a> (const vec &amp;dt, const vec &amp;cond)</td></tr>
80
81<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Shortcut for conditioning and evaluation of the internal <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>. In some cases, this operation can be implemented efficiently. <br></td></tr>
82<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0b0ed1ed663071bb7cf4a1349eb94fcb"></a><!-- doxytag: member="bdm::mlstudent::evallogcond_m" ref="0b0ed1ed663071bb7cf4a1349eb94fcb" args="(const mat &amp;Dt, const vec &amp;cond)" -->
83virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#0b0ed1ed663071bb7cf4a1349eb94fcb">evallogcond_m</a> (const mat &amp;Dt, const vec &amp;cond)</td></tr>
84
85<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix version of evallogcond. <br></td></tr>
86<tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr>
87<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5571482d150fbcb72cc36f6694ce1a10"></a><!-- doxytag: member="bdm::mlstudent::_rv" ref="5571482d150fbcb72cc36f6694ce1a10" args="()" -->
88<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>_rv</b> ()</td></tr>
89
90<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="26001264236846897bd11e4baad47245"></a><!-- doxytag: member="bdm::mlstudent::_rvc" ref="26001264236846897bd11e4baad47245" args="()" -->
91<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>_rvc</b> ()</td></tr>
92
93<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1c2bae3e1e90874e72941863974ec0ed"></a><!-- doxytag: member="bdm::mlstudent::dimension" ref="1c2bae3e1e90874e72941863974ec0ed" args="()" -->
94int&nbsp;</td><td class="memItemRight" valign="bottom"><b>dimension</b> ()</td></tr>
95
96<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="35e135910aed187b7290742f50e61bc8"></a><!-- doxytag: member="bdm::mlstudent::dimensionc" ref="35e135910aed187b7290742f50e61bc8" args="()" -->
97int&nbsp;</td><td class="memItemRight" valign="bottom"><b>dimensionc</b> ()</td></tr>
98
99<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1892fe3933488942253679f068e9e7f6"></a><!-- doxytag: member="bdm::mlstudent::_epdf" ref="1892fe3933488942253679f068e9e7f6" args="()" -->
100<a class="el" href="classbdm_1_1epdf.html">epdf</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>_epdf</b> ()</td></tr>
101
102<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05e843fd11c410a99dad2b88c55aca80"></a><!-- doxytag: member="bdm::mlstudent::_e" ref="05e843fd11c410a99dad2b88c55aca80" args="()" -->
103<a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><b>_e</b> ()</td></tr>
104
105<tr><td colspan="2"><div class="groupHeader">Connection to other objects</div></td></tr>
106<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7631a5570e4ade1420065e8df78f4401"></a><!-- doxytag: member="bdm::mlstudent::set_rvc" ref="7631a5570e4ade1420065e8df78f4401" args="(const RV &amp;rvc0)" -->
107void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_rvc</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rvc0)</td></tr>
108
109<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="18ac26bc2f96ae01ef4eb06178abbd75"></a><!-- doxytag: member="bdm::mlstudent::set_rv" ref="18ac26bc2f96ae01ef4eb06178abbd75" args="(const RV &amp;rv0)" -->
110void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_rv</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv0)</td></tr>
111
112<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f8e3798150b42fd1f3e16ddbbe0e7045"></a><!-- doxytag: member="bdm::mlstudent::isnamed" ref="f8e3798150b42fd1f3e16ddbbe0e7045" args="()" -->
113bool&nbsp;</td><td class="memItemRight" valign="bottom"><b>isnamed</b> ()</td></tr>
114
115<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
116<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="41595144a79594acbe288c6b59412657"></a><!-- doxytag: member="bdm::mlstudent::Lambda" ref="41595144a79594acbe288c6b59412657" args="" -->
117<a class="el" href="classldmat.html">ldmat</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>Lambda</b></td></tr>
118
119<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="72e9bda4d6684e07faafc4b2192daf39"></a><!-- doxytag: member="bdm::mlstudent::_R" ref="72e9bda4d6684e07faafc4b2192daf39" args="" -->
120<a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>_R</b></td></tr>
121
122<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1c063ad6cb6e079ee11bc4128c2c9fe8"></a><!-- doxytag: member="bdm::mlstudent::Re" ref="1c063ad6cb6e079ee11bc4128c2c9fe8" args="" -->
123<a class="el" href="classldmat.html">ldmat</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>Re</b></td></tr>
124
125<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="150ad6acb223b0a0abeaf92346686dcd"></a><!-- doxytag: member="bdm::mlstudent::epdf" ref="150ad6acb223b0a0abeaf92346686dcd" args="" -->
126<a class="el" href="classbdm_1_1enorm.html">enorm</a>&lt; <a class="el" href="classldmat.html">ldmat</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlnorm.html#150ad6acb223b0a0abeaf92346686dcd">epdf</a></td></tr>
127
128<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Internal epdf that arise by conditioning on <code>rvc</code>. <br></td></tr>
129<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8207ae86d1722102897e139a23e29af8"></a><!-- doxytag: member="bdm::mlstudent::A" ref="8207ae86d1722102897e139a23e29af8" args="" -->
130mat&nbsp;</td><td class="memItemRight" valign="bottom"><b>A</b></td></tr>
131
132<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3a019144d414d1737aea331ffe1c3845"></a><!-- doxytag: member="bdm::mlstudent::mu_const" ref="3a019144d414d1737aea331ffe1c3845" args="" -->
133vec&nbsp;</td><td class="memItemRight" valign="bottom"><b>mu_const</b></td></tr>
134
135<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dea5ea658d5020c11da91275f592244b"></a><!-- doxytag: member="bdm::mlstudent::_mu" ref="dea5ea658d5020c11da91275f592244b" args="" -->
136vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>_mu</b></td></tr>
137
138<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7c1900976ff13dbc09c9729b3bbff9e6"></a><!-- doxytag: member="bdm::mlstudent::dimc" ref="7c1900976ff13dbc09c9729b3bbff9e6" args="" -->
139int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#7c1900976ff13dbc09c9729b3bbff9e6">dimc</a></td></tr>
140
141<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the condition <br></td></tr>
142<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::mlstudent::rvc" ref="5a5f08950daa08b85b01ddf4e1c36288" args="" -->
143<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#5a5f08950daa08b85b01ddf4e1c36288">rvc</a></td></tr>
144
145<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">random variable in condition <br></td></tr>
146<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5eea43c56d38e4441bfb30270db949c0"></a><!-- doxytag: member="bdm::mlstudent::ep" ref="5eea43c56d38e4441bfb30270db949c0" args="" -->
147<a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#5eea43c56d38e4441bfb30270db949c0">ep</a></td></tr>
148
149<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">pointer to internal <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> <br></td></tr>
150<tr><td colspan="2"><br><h2>Friends</h2></td></tr>
151<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1917009347bb410f73bf827df8767b09"></a><!-- doxytag: member="bdm::mlstudent::operator&lt;&lt;" ref="1917009347bb410f73bf827df8767b09" args="(std::ostream &amp;os, mlnorm&lt; sq_M &gt; &amp;ml)" -->
152std::ostream &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>operator&lt;&lt;</b> (std::ostream &amp;os, <a class="el" href="classbdm_1_1mlnorm.html">mlnorm</a>&lt; sq_M &gt; &amp;ml)</td></tr>
153
154</table>
155<hr><h2>Member Function Documentation</h2>
156<a class="anchor" name="f0c1db6fcbb3aae2dd6123884457a367"></a><!-- doxytag: member="bdm::mlstudent::samplecond" ref="f0c1db6fcbb3aae2dd6123884457a367" args="(const vec &amp;cond)" -->
157<div class="memitem">
158<div class="memproto">
159      <table class="memname">
160        <tr>
161          <td class="memname">virtual vec bdm::mpdf::samplecond           </td>
162          <td>(</td>
163          <td class="paramtype">const vec &amp;&nbsp;</td>
164          <td class="paramname"> <em>cond</em>          </td>
165          <td>&nbsp;)&nbsp;</td>
166          <td><code> [inline, virtual, inherited]</code></td>
167        </tr>
168      </table>
169</div>
170<div class="memdoc">
171
172<p>
173Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.
174<p>
175<dl compact><dt><b>Parameters:</b></dt><dd>
176  <table border="0" cellspacing="2" cellpadding="0">
177    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
178  </table>
179</dl>
180
181<p>References <a class="el" href="libBM_8h-source.html#l00315">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00288">bdm::mpdf::ep</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p>
182
183<p>Referenced by <a class="el" href="libPF_8h-source.html#l00143">bdm::MPF&lt; BM_T &gt;::bayes()</a>, <a class="el" href="libPF_8cpp-source.html#l00007">bdm::PF::bayes()</a>, and <a class="el" href="libDS_8cpp-source.html#l00044">bdm::ArxDS::step()</a>.</p>
184
185</div>
186</div><p>
187<a class="anchor" name="afe4185b26baeb03688202e254d3b005"></a><!-- doxytag: member="bdm::mlstudent::samplecond_m" ref="afe4185b26baeb03688202e254d3b005" args="(const vec &amp;cond, int N)" -->
188<div class="memitem">
189<div class="memproto">
190      <table class="memname">
191        <tr>
192          <td class="memname">virtual mat bdm::mpdf::samplecond_m           </td>
193          <td>(</td>
194          <td class="paramtype">const vec &amp;&nbsp;</td>
195          <td class="paramname"> <em>cond</em>, </td>
196        </tr>
197        <tr>
198          <td class="paramkey"></td>
199          <td></td>
200          <td class="paramtype">int&nbsp;</td>
201          <td class="paramname"> <em>N</em></td><td>&nbsp;</td>
202        </tr>
203        <tr>
204          <td></td>
205          <td>)</td>
206          <td></td><td></td><td><code> [inline, virtual, inherited]</code></td>
207        </tr>
208      </table>
209</div>
210<div class="memdoc">
211
212<p>
213Returns.
214<p>
215<dl compact><dt><b>Parameters:</b></dt><dd>
216  <table border="0" cellspacing="2" cellpadding="0">
217    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr>
218    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
219    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr>
220  </table>
221</dl>
222
223<p>References <a class="el" href="libBM_8h-source.html#l00315">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00272">bdm::epdf::dimension()</a>, <a class="el" href="libBM_8h-source.html#l00288">bdm::mpdf::ep</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p>
224
225</div>
226</div><p>
227<hr>The documentation for this class was generated from the following file:<ul>
228<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul>
229</div>
230<hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 11 23:34:06 2009 for mixpp by&nbsp;
231<a href="http://www.doxygen.org/index.html">
232<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
233</body>
234</html>
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