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67  <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1multiBM.html">multiBM</a>
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71<h1>bdm::multiBM Class Reference</h1><!-- doxytag: class="bdm::multiBM" --><!-- doxytag: inherits="bdm::BMEF" --><code>#include &lt;<a class="el" href="libEF_8h-source.html">libEF.h</a>&gt;</code>
72<p>
73<div class="dynheader">
74Inheritance diagram for bdm::multiBM:</div>
75<div class="dynsection">
76
77<p><center><img src="classbdm_1_1multiBM.png" usemap="#bdm::multiBM_map" border="0" alt=""></center>
78<map name="bdm::multiBM_map">
79<area href="classbdm_1_1BMEF.html" alt="bdm::BMEF" shape="rect" coords="0,112,86,136">
80<area href="classbdm_1_1BM.html" alt="bdm::BM" shape="rect" coords="0,56,86,80">
81<area href="classbdm_1_1bdmroot.html" alt="bdm::bdmroot" shape="rect" coords="0,0,86,24">
82</map>
83</div>
84
85<p>
86<a href="classbdm_1_1multiBM-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2>
87Estimator for Multinomial density. <table border="0" cellpadding="0" cellspacing="0">
88<tr><td></td></tr>
89<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
90<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c4dd6d9522a8a605776d21bac9bd9daf"></a><!-- doxytag: member="bdm::multiBM::multiBM" ref="c4dd6d9522a8a605776d21bac9bd9daf" args="()" -->
91&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1multiBM.html#c4dd6d9522a8a605776d21bac9bd9daf">multiBM</a> ()</td></tr>
92
93<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr>
94<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c4378cf8037f6bed29c74eea63344b31"></a><!-- doxytag: member="bdm::multiBM::multiBM" ref="c4378cf8037f6bed29c74eea63344b31" args="(const multiBM &amp;B)" -->
95&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1multiBM.html#c4378cf8037f6bed29c74eea63344b31">multiBM</a> (const <a class="el" href="classbdm_1_1multiBM.html">multiBM</a> &amp;B)</td></tr>
96
97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Copy constructor. <br></td></tr>
98<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dbe6b90d410dc062a233d1dc09eeba52"></a><!-- doxytag: member="bdm::multiBM::set_statistics" ref="dbe6b90d410dc062a233d1dc09eeba52" args="(const BM *mB0)" -->
99void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1multiBM.html#dbe6b90d410dc062a233d1dc09eeba52">set_statistics</a> (const <a class="el" href="classbdm_1_1BM.html">BM</a> *mB0)</td></tr>
100
101<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Sets sufficient statistics to match that of givefrom mB0. <br></td></tr>
102<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1multiBM.html#1e4bf41b61937fd80f34049742e23f95">bayes</a> (const vec &amp;dt)</td></tr>
103
104<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Incremental Bayes rule.  <a href="#1e4bf41b61937fd80f34049742e23f95"></a><br></td></tr>
105<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1multiBM.html#e157b607c1e3fa91d42aeea44458e2bf">logpred</a> (const vec &amp;dt) const </td></tr>
106
107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="aaeb18c989088feb8d26d300e4971732"></a><!-- doxytag: member="bdm::multiBM::flatten" ref="aaeb18c989088feb8d26d300e4971732" args="(const BMEF *B)" -->
108void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1multiBM.html#aaeb18c989088feb8d26d300e4971732">flatten</a> (const <a class="el" href="classbdm_1_1BMEF.html">BMEF</a> *B)</td></tr>
109
110<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Flatten the posterior according to the given <a class="el" href="classbdm_1_1BMEF.html" title="Estimator for Exponential family.">BMEF</a> (of the same type!). <br></td></tr>
111<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cd682a9a179e6c42a5d28e71c2a2cbfa"></a><!-- doxytag: member="bdm::multiBM::posterior" ref="cd682a9a179e6c42a5d28e71c2a2cbfa" args="() const " -->
112const <a class="el" href="classbdm_1_1epdf.html">epdf</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>posterior</b> () const </td></tr>
113
114<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c996f6b9ca930182030e1027318f1ca6"></a><!-- doxytag: member="bdm::multiBM::_e" ref="c996f6b9ca930182030e1027318f1ca6" args="() const " -->
115const <a class="el" href="classbdm_1_1eDirich.html">eDirich</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><b>_e</b> () const </td></tr>
116
117<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7a480eace4446661bacca94c57499f01"></a><!-- doxytag: member="bdm::multiBM::set_parameters" ref="7a480eace4446661bacca94c57499f01" args="(const vec &amp;beta0)" -->
118void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_parameters</b> (const vec &amp;beta0)</td></tr>
119
120<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d2b528b7a41ca67163152142f5404051"></a><!-- doxytag: member="bdm::multiBM::set_statistics" ref="d2b528b7a41ca67163152142f5404051" args="(const BMEF *BM0)" -->
121virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BMEF.html#d2b528b7a41ca67163152142f5404051">set_statistics</a> (const <a class="el" href="classbdm_1_1BMEF.html">BMEF</a> *BM0)</td></tr>
122
123<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">get statistics from another model <br></td></tr>
124<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="bf58deb99af2a6cc674f13ff90300de6"></a><!-- doxytag: member="bdm::multiBM::bayes" ref="bf58deb99af2a6cc674f13ff90300de6" args="(const vec &amp;data, const double w)" -->
125virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BMEF.html#bf58deb99af2a6cc674f13ff90300de6">bayes</a> (const vec &amp;data, const double w)</td></tr>
126
127<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Weighted update of sufficient statistics (Bayes rule). <br></td></tr>
128<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5912dbcf28ae711e30b08c2fa766a3e6"></a><!-- doxytag: member="bdm::multiBM::_copy_" ref="5912dbcf28ae711e30b08c2fa766a3e6" args="(bool changerv=false)" -->
129<a class="el" href="classbdm_1_1BMEF.html">BMEF</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BMEF.html#5912dbcf28ae711e30b08c2fa766a3e6">_copy_</a> (bool changerv=false)</td></tr>
130
131<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Flatten the posterior as if to keep nu0 data. <br></td></tr>
132<tr><td colspan="2"><div class="groupHeader">Constructors</div></td></tr>
133<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual <a class="el" href="classbdm_1_1BM.html">BM</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#c0f027ff91d8459937c6f60ff8e553ff">_copy_</a> ()</td></tr>
134
135<tr><td colspan="2"><div class="groupHeader">Mathematical operations</div></td></tr>
136<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1dee3fddaf021e62d925289660a707dc"></a><!-- doxytag: member="bdm::multiBM::bayesB" ref="1dee3fddaf021e62d925289660a707dc" args="(const mat &amp;Dt)" -->
137virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#1dee3fddaf021e62d925289660a707dc">bayesB</a> (const mat &amp;Dt)</td></tr>
138
139<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Batch Bayes rule (columns of Dt are observations). <br></td></tr>
140<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0e8ebe61fb14990abe1254bd3dda5fae"></a><!-- doxytag: member="bdm::multiBM::logpred_m" ref="0e8ebe61fb14990abe1254bd3dda5fae" args="(const mat &amp;dt) const " -->
141vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#0e8ebe61fb14990abe1254bd3dda5fae">logpred_m</a> (const mat &amp;dt) const </td></tr>
142
143<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix version of logpred. <br></td></tr>
144<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="688d7a2aced1e06aa1c468d73a9e5eba"></a><!-- doxytag: member="bdm::multiBM::epredictor" ref="688d7a2aced1e06aa1c468d73a9e5eba" args="() const " -->
145virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr>
146
147<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr>
148<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::multiBM::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " -->
149virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr>
150
151<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a conditional density 1-step ahead predictor. <br></td></tr>
152<tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr>
153<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ff2d8755ba0b3def927d31305c03b09c"></a><!-- doxytag: member="bdm::multiBM::_drv" ref="ff2d8755ba0b3def927d31305c03b09c" args="() const " -->
154const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>_drv</b> () const </td></tr>
155
156<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f135ae6dce7e9f30c9f88229c7930b96"></a><!-- doxytag: member="bdm::multiBM::set_drv" ref="f135ae6dce7e9f30c9f88229c7930b96" args="(const RV &amp;rv)" -->
157void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_drv</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv)</td></tr>
158
159<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b38d92f17620813ad872d86e01a26e5e"></a><!-- doxytag: member="bdm::multiBM::set_rv" ref="b38d92f17620813ad872d86e01a26e5e" args="(const RV &amp;rv)" -->
160void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_rv</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv)</td></tr>
161
162<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5be65d37dedfe33a3671e7065f523a70"></a><!-- doxytag: member="bdm::multiBM::_ll" ref="5be65d37dedfe33a3671e7065f523a70" args="() const " -->
163double&nbsp;</td><td class="memItemRight" valign="bottom"><b>_ll</b> () const </td></tr>
164
165<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="236b3abbcc93594fc97cd86d82c1a83f"></a><!-- doxytag: member="bdm::multiBM::set_evalll" ref="236b3abbcc93594fc97cd86d82c1a83f" args="(bool evl0)" -->
166void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_evalll</b> (bool evl0)</td></tr>
167
168<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
169<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9ecc6878abbd20eb8d8e43b6ab3f941a"></a><!-- doxytag: member="bdm::multiBM::est" ref="9ecc6878abbd20eb8d8e43b6ab3f941a" args="" -->
170<a class="el" href="classbdm_1_1eDirich.html">eDirich</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1multiBM.html#9ecc6878abbd20eb8d8e43b6ab3f941a">est</a></td></tr>
171
172<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conjugate prior and posterior. <br></td></tr>
173<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="044263356944c92209eecd39a5187d25"></a><!-- doxytag: member="bdm::multiBM::beta" ref="044263356944c92209eecd39a5187d25" args="" -->
174vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1multiBM.html#044263356944c92209eecd39a5187d25">beta</a></td></tr>
175
176<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Pointer inside est to sufficient statistics. <br></td></tr>
177<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1331865e10fb1ccef65bb4c47fa3be64"></a><!-- doxytag: member="bdm::multiBM::frg" ref="1331865e10fb1ccef65bb4c47fa3be64" args="" -->
178double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BMEF.html#1331865e10fb1ccef65bb4c47fa3be64">frg</a></td></tr>
179
180<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">forgetting factor <br></td></tr>
181<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="06e7b3ac03e10017d4288c76888e2865"></a><!-- doxytag: member="bdm::multiBM::last_lognc" ref="06e7b3ac03e10017d4288c76888e2865" args="" -->
182double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BMEF.html#06e7b3ac03e10017d4288c76888e2865">last_lognc</a></td></tr>
183
184<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">cached value of lognc() in the previous step (used in evaluation of <code>ll</code> ) <br></td></tr>
185<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c400357e37d27a4834b2b1d9211009ed"></a><!-- doxytag: member="bdm::multiBM::drv" ref="c400357e37d27a4834b2b1d9211009ed" args="" -->
186<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#c400357e37d27a4834b2b1d9211009ed">drv</a></td></tr>
187
188<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Random variable of the data (optional). <br></td></tr>
189<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="4064b6559d962633e4372b12f4cd204a"></a><!-- doxytag: member="bdm::multiBM::ll" ref="4064b6559d962633e4372b12f4cd204a" args="" -->
190double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#4064b6559d962633e4372b12f4cd204a">ll</a></td></tr>
191
192<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of marginalized data likelihood. <br></td></tr>
193<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="faff0ad12556fe7dc0e2807d4fd938ee"></a><!-- doxytag: member="bdm::multiBM::evalll" ref="faff0ad12556fe7dc0e2807d4fd938ee" args="" -->
194bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#faff0ad12556fe7dc0e2807d4fd938ee">evalll</a></td></tr>
195
196<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">If true, the filter will compute likelihood of the data record and store it in <code>ll</code> . Set to false if you want to save computational time. <br></td></tr>
197</table>
198<hr><h2>Member Function Documentation</h2>
199<a class="anchor" name="1e4bf41b61937fd80f34049742e23f95"></a><!-- doxytag: member="bdm::multiBM::bayes" ref="1e4bf41b61937fd80f34049742e23f95" args="(const vec &amp;dt)" -->
200<div class="memitem">
201<div class="memproto">
202      <table class="memname">
203        <tr>
204          <td class="memname">void bdm::multiBM::bayes           </td>
205          <td>(</td>
206          <td class="paramtype">const vec &amp;&nbsp;</td>
207          <td class="paramname"> <em>dt</em>          </td>
208          <td>&nbsp;)&nbsp;</td>
209          <td><code> [inline, virtual]</code></td>
210        </tr>
211      </table>
212</div>
213<div class="memdoc">
214
215<p>
216Incremental Bayes rule.
217<p>
218<dl compact><dt><b>Parameters:</b></dt><dd>
219  <table border="0" cellspacing="2" cellpadding="0">
220    <tr><td valign="top"></td><td valign="top"><em>dt</em>&nbsp;</td><td>vector of input data </td></tr>
221  </table>
222</dl>
223
224<p>Reimplemented from <a class="el" href="classbdm_1_1BMEF.html#c287f4c0c1ea31b91572ec45351838f1">bdm::BMEF</a>.</p>
225
226<p>References <a class="el" href="libEF_8h-source.html#l00265">beta</a>, <a class="el" href="libEF_8h-source.html#l00263">est</a>, <a class="el" href="libBM_8h-source.html#l00603">bdm::BM::evalll</a>, <a class="el" href="libEF_8h-source.html#l00077">bdm::BMEF::frg</a>, <a class="el" href="libEF_8h-source.html#l00079">bdm::BMEF::last_lognc</a>, <a class="el" href="libBM_8h-source.html#l00601">bdm::BM::ll</a>, and <a class="el" href="libEF_8h-source.html#l00245">bdm::eDirich::lognc()</a>.</p>
227
228</div>
229</div><p>
230<a class="anchor" name="e157b607c1e3fa91d42aeea44458e2bf"></a><!-- doxytag: member="bdm::multiBM::logpred" ref="e157b607c1e3fa91d42aeea44458e2bf" args="(const vec &amp;dt) const " -->
231<div class="memitem">
232<div class="memproto">
233      <table class="memname">
234        <tr>
235          <td class="memname">double bdm::multiBM::logpred           </td>
236          <td>(</td>
237          <td class="paramtype">const vec &amp;&nbsp;</td>
238          <td class="paramname"> <em>dt</em>          </td>
239          <td>&nbsp;)&nbsp;</td>
240          <td> const<code> [inline, virtual]</code></td>
241        </tr>
242      </table>
243</div>
244<div class="memdoc">
245
246<p>
247Evaluates predictive log-likelihood of the given data record I.e. marginal likelihood of the data with the posterior integrated out.
248<p>Reimplemented from <a class="el" href="classbdm_1_1BM.html#50257e0c1e5b5c73153ea6e716ad8ae0">bdm::BM</a>.</p>
249
250<p>References <a class="el" href="libEF_8h-source.html#l00255">bdm::eDirich::_beta()</a>, <a class="el" href="libEF_8h-source.html#l00265">beta</a>, <a class="el" href="libEF_8h-source.html#l00263">est</a>, <a class="el" href="libBM_8h-source.html#l00603">bdm::BM::evalll</a>, <a class="el" href="libEF_8h-source.html#l00077">bdm::BMEF::frg</a>, <a class="el" href="libEF_8h-source.html#l00079">bdm::BMEF::last_lognc</a>, and <a class="el" href="libEF_8h-source.html#l00245">bdm::eDirich::lognc()</a>.</p>
251
252</div>
253</div><p>
254<a class="anchor" name="c0f027ff91d8459937c6f60ff8e553ff"></a><!-- doxytag: member="bdm::multiBM::_copy_" ref="c0f027ff91d8459937c6f60ff8e553ff" args="()" -->
255<div class="memitem">
256<div class="memproto">
257      <table class="memname">
258        <tr>
259          <td class="memname">virtual <a class="el" href="classbdm_1_1BM.html">BM</a>* bdm::BM::_copy_           </td>
260          <td>(</td>
261          <td class="paramname">          </td>
262          <td>&nbsp;)&nbsp;</td>
263          <td><code> [inline, virtual, inherited]</code></td>
264        </tr>
265      </table>
266</div>
267<div class="memdoc">
268
269<p>
270Copy function required in vectors, Arrays of <a class="el" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> etc. Have to be DELETED manually! Prototype: <div class="fragment"><pre class="fragment"> BM* <a class="code" href="classbdm_1_1BM.html#c0f027ff91d8459937c6f60ff8e553ff">_copy_</a>(){<span class="keywordflow">return</span> <span class="keyword">new</span> BM(*<span class="keyword">this</span>);}
271</pre></div> 
272<p>Reimplemented in <a class="el" href="classbdm_1_1ARX.html#60c40b5c6abc4c7e464b4ccae64a5a61">bdm::ARX</a>.</p>
273
274</div>
275</div><p>
276<hr>The documentation for this class was generated from the following file:<ul>
277<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul>
278</div>
279<hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 18 17:39:19 2009 for mixpp by&nbsp;
280<a href="http://www.doxygen.org/index.html">
281<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
282</body>
283</html>
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