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27  <div class="navpath"><a class="el" href="namespacebdm.html">bdm</a>::<a class="el" href="classbdm_1_1mratio.html">mratio</a>
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31<h1>bdm::mratio Class Reference</h1><!-- doxytag: class="bdm::mratio" --><!-- doxytag: inherits="bdm::mpdf" -->Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp">
32<img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_79.png">
33<p>
34 where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_80.png">. 
35<a href="#_details">More...</a>
36<p>
37<code>#include &lt;<a class="el" href="emix_8h-source.html">emix.h</a>&gt;</code>
38<p>
39<div class="dynheader">
40Inheritance diagram for bdm::mratio:</div>
41<div class="dynsection">
42<p><center><img src="classbdm_1_1mratio__inherit__graph.png" border="0" usemap="#bdm_1_1mratio__inherit__map" alt="Inheritance graph"></center>
43<map name="bdm_1_1mratio__inherit__map">
44<area shape="rect" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="16,84,107,111"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="5,7,117,33"></map>
45<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
46<div class="dynheader">
47Collaboration diagram for bdm::mratio:</div>
48<div class="dynsection">
49<p><center><img src="classbdm_1_1mratio__coll__graph.png" border="0" usemap="#bdm_1_1mratio__coll__map" alt="Collaboration graph"></center>
50<map name="bdm_1_1mratio__coll__map">
51<area shape="rect" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="5,287,96,313"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="7,7,119,33"><area shape="rect" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables." alt="" coords="25,87,100,113"><area shape="rect" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density." alt="" coords="93,185,179,212"><area shape="rect" href="classbdm_1_1datalink__m2e.html" title="data link between" alt="" coords="199,287,343,313"></map>
52<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
53
54<p>
55<a href="classbdm_1_1mratio-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
56<tr><td></td></tr>
57<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
58<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#0ff56d13f9515d7e5f23b7a4cc5529b4">mratio</a> (const <a class="el" href="classbdm_1_1epdf.html">epdf</a> *nom0, const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1mpdf.html#9bcfb45435d30983f436d41c298cbb51">rv</a>, bool copy=false)</td></tr>
59
60<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3a2cbce8c61ca9f592d9c2220f7c1204"></a><!-- doxytag: member="bdm::mratio::evallogcond" ref="3a2cbce8c61ca9f592d9c2220f7c1204" args="(const vec &amp;val, const vec &amp;cond)" -->
61double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#3a2cbce8c61ca9f592d9c2220f7c1204">evallogcond</a> (const vec &amp;val, const vec &amp;cond)</td></tr>
62
63<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>
64<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c8b39fea586d4258bb3c881406edaf15"></a><!-- doxytag: member="bdm::mratio::ownnom" ref="c8b39fea586d4258bb3c881406edaf15" args="()" -->
65void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#c8b39fea586d4258bb3c881406edaf15">ownnom</a> ()</td></tr>
66
67<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Object takes ownership of nom and will destroy it. <br></td></tr>
68<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c0cc0b25dbdc54751466616655454c5c"></a><!-- doxytag: member="bdm::mratio::~mratio" ref="c0cc0b25dbdc54751466616655454c5c" args="()" -->
69&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#c0cc0b25dbdc54751466616655454c5c">~mratio</a> ()</td></tr>
70
71<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default destructor. <br></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#e4848a428d8ef0549c6e4a9ed386d9f2">samplecond</a> (const vec &amp;cond, double &amp;ll)</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="#e4848a428d8ef0549c6e4a9ed386d9f2"></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#ee26963a637b2ea1fb1933652981e652">samplecond_m</a> (const vec &amp;cond, vec &amp;ll, int N)</td></tr>
76
77<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns.  <a href="#ee26963a637b2ea1fb1933652981e652"></a><br></td></tr>
78<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="db94784a9aacf74c65c5a014f6743530"></a><!-- doxytag: member="bdm::mratio::condition" ref="db94784a9aacf74c65c5a014f6743530" args="(const vec &amp;cond)" -->
79virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#db94784a9aacf74c65c5a014f6743530">condition</a> (const vec &amp;cond)</td></tr>
80
81<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Update <code>ep</code> so that it represents this <a class="el" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies.">mpdf</a> conditioned on <code>rvc</code> = cond. <br></td></tr>
82<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0b0ed1ed663071bb7cf4a1349eb94fcb"></a><!-- doxytag: member="bdm::mratio::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 class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b3aba7311038bf990d706a64cab60cf8"></a><!-- doxytag: member="bdm::mratio::_rvc" ref="b3aba7311038bf990d706a64cab60cf8" args="() const " -->
87<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#b3aba7311038bf990d706a64cab60cf8">_rvc</a> () const </td></tr>
88
89<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
90<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="222d5280e309c5a053ba73841e98c151"></a><!-- doxytag: member="bdm::mratio::_rv" ref="222d5280e309c5a053ba73841e98c151" args="() const " -->
91<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#222d5280e309c5a053ba73841e98c151">_rv</a> () const </td></tr>
92
93<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
94<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1892fe3933488942253679f068e9e7f6"></a><!-- doxytag: member="bdm::mratio::_epdf" ref="1892fe3933488942253679f068e9e7f6" args="()" -->
95<a class="el" href="classbdm_1_1epdf.html">epdf</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#1892fe3933488942253679f068e9e7f6">_epdf</a> ()</td></tr>
96
97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
98<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05e843fd11c410a99dad2b88c55aca80"></a><!-- doxytag: member="bdm::mratio::_e" ref="05e843fd11c410a99dad2b88c55aca80" args="()" -->
99<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#05e843fd11c410a99dad2b88c55aca80">_e</a> ()</td></tr>
100
101<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
102<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
103<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f31caba90a2aa10fbf7631832404fe54"></a><!-- doxytag: member="bdm::mratio::nom" ref="f31caba90a2aa10fbf7631832404fe54" args="" -->
104const <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#f31caba90a2aa10fbf7631832404fe54">nom</a></td></tr>
105
106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Nominator in the form of <a class="el" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies.">mpdf</a>. <br></td></tr>
107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7daa5d02d3a3be9d15fd4156d886ed88"></a><!-- doxytag: member="bdm::mratio::den" ref="7daa5d02d3a3be9d15fd4156d886ed88" args="" -->
108<a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#7daa5d02d3a3be9d15fd4156d886ed88">den</a></td></tr>
109
110<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Denominator in the form of <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>. <br></td></tr>
111<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="51bfe6675e724f7fbeaaeacce5a9f9b8"></a><!-- doxytag: member="bdm::mratio::destroynom" ref="51bfe6675e724f7fbeaaeacce5a9f9b8" args="" -->
112bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#51bfe6675e724f7fbeaaeacce5a9f9b8">destroynom</a></td></tr>
113
114<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">flag for destructor <br></td></tr>
115<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cda5bd23ba60146d69e1f804ff7710c7"></a><!-- doxytag: member="bdm::mratio::dl" ref="cda5bd23ba60146d69e1f804ff7710c7" args="" -->
116<a class="el" href="classbdm_1_1datalink__m2e.html">datalink_m2e</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#cda5bd23ba60146d69e1f804ff7710c7">dl</a></td></tr>
117
118<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">datalink between conditional and nom <br></td></tr>
119<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9bcfb45435d30983f436d41c298cbb51"></a><!-- doxytag: member="bdm::mratio::rv" ref="9bcfb45435d30983f436d41c298cbb51" args="" -->
120<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#9bcfb45435d30983f436d41c298cbb51">rv</a></td></tr>
121
122<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">modeled random variable <br></td></tr>
123<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::mratio::rvc" ref="5a5f08950daa08b85b01ddf4e1c36288" args="" -->
124<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>
125
126<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">random variable in condition <br></td></tr>
127<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5eea43c56d38e4441bfb30270db949c0"></a><!-- doxytag: member="bdm::mratio::ep" ref="5eea43c56d38e4441bfb30270db949c0" args="" -->
128<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>
129
130<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>
131</table>
132<hr><a name="_details"></a><h2>Detailed Description</h2>
133Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp">
134<img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_79.png">
135<p>
136 where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_80.png">.
137<p>
138In particular this type of arise by conditioning of a mixture model.<p>
139At present the only supported operation is <a class="el" href="classbdm_1_1mratio.html#3a2cbce8c61ca9f592d9c2220f7c1204" title="Shortcut for conditioning and evaluation of the internal epdf. In some cases, this...">evallogcond()</a>. <hr><h2>Constructor &amp; Destructor Documentation</h2>
140<a class="anchor" name="0ff56d13f9515d7e5f23b7a4cc5529b4"></a><!-- doxytag: member="bdm::mratio::mratio" ref="0ff56d13f9515d7e5f23b7a4cc5529b4" args="(const epdf *nom0, const RV &amp;rv, bool copy=false)" -->
141<div class="memitem">
142<div class="memproto">
143      <table class="memname">
144        <tr>
145          <td class="memname">bdm::mratio::mratio           </td>
146          <td>(</td>
147          <td class="paramtype">const <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td>
148          <td class="paramname"> <em>nom0</em>, </td>
149        </tr>
150        <tr>
151          <td class="paramkey"></td>
152          <td></td>
153          <td class="paramtype">const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td>
154          <td class="paramname"> <em>rv</em>, </td>
155        </tr>
156        <tr>
157          <td class="paramkey"></td>
158          <td></td>
159          <td class="paramtype">bool&nbsp;</td>
160          <td class="paramname"> <em>copy</em> = <code>false</code></td><td>&nbsp;</td>
161        </tr>
162        <tr>
163          <td></td>
164          <td>)</td>
165          <td></td><td></td><td><code> [inline]</code></td>
166        </tr>
167      </table>
168</div>
169<div class="memdoc">
170
171<p>
172Default constructor. By default, the given <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> is not copied! It is assumed that this function will be used only temporarily.
173<p>References <a class="el" href="emix_8h-source.html#l00041">den</a>, <a class="el" href="emix_8h-source.html#l00043">destroynom</a>, <a class="el" href="libBM_8h-source.html#l00086">bdm::RV::length()</a>, <a class="el" href="libBM_8h-source.html#l00203">bdm::epdf::marginal()</a>, <a class="el" href="emix_8h-source.html#l00039">nom</a>, and <a class="el" href="libBM_8h-source.html#l00229">bdm::mpdf::rvc</a>.</p>
174
175</div>
176</div><p>
177<hr><h2>Member Function Documentation</h2>
178<a class="anchor" name="e4848a428d8ef0549c6e4a9ed386d9f2"></a><!-- doxytag: member="bdm::mratio::samplecond" ref="e4848a428d8ef0549c6e4a9ed386d9f2" args="(const vec &amp;cond, double &amp;ll)" -->
179<div class="memitem">
180<div class="memproto">
181      <table class="memname">
182        <tr>
183          <td class="memname">virtual vec bdm::mpdf::samplecond           </td>
184          <td>(</td>
185          <td class="paramtype">const vec &amp;&nbsp;</td>
186          <td class="paramname"> <em>cond</em>, </td>
187        </tr>
188        <tr>
189          <td class="paramkey"></td>
190          <td></td>
191          <td class="paramtype">double &amp;&nbsp;</td>
192          <td class="paramname"> <em>ll</em></td><td>&nbsp;</td>
193        </tr>
194        <tr>
195          <td></td>
196          <td>)</td>
197          <td></td><td></td><td><code> [inline, virtual, inherited]</code></td>
198        </tr>
199      </table>
200</div>
201<div class="memdoc">
202
203<p>
204Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.
205<p>
206<dl compact><dt><b>Parameters:</b></dt><dd>
207  <table border="0" cellspacing="2" cellpadding="0">
208    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
209    <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>
210  </table>
211</dl>
212
213<p>Reimplemented in <a class="el" href="classbdm_1_1mprod.html#1a37c2aaba8bde7fce5351c39b6e1168">bdm::mprod</a>.</p>
214
215<p>References <a class="el" href="libBM_8h-source.html#l00248">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00231">bdm::mpdf::ep</a>, <a class="el" href="classbdm_1_1epdf.html#a8e39e2ff5e5cf5471bc159530d3b2d3">bdm::epdf::evallog()</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p>
216
217<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>
218
219</div>
220</div><p>
221<a class="anchor" name="ee26963a637b2ea1fb1933652981e652"></a><!-- doxytag: member="bdm::mratio::samplecond_m" ref="ee26963a637b2ea1fb1933652981e652" args="(const vec &amp;cond, vec &amp;ll, int N)" -->
222<div class="memitem">
223<div class="memproto">
224      <table class="memname">
225        <tr>
226          <td class="memname">virtual mat bdm::mpdf::samplecond_m           </td>
227          <td>(</td>
228          <td class="paramtype">const vec &amp;&nbsp;</td>
229          <td class="paramname"> <em>cond</em>, </td>
230        </tr>
231        <tr>
232          <td class="paramkey"></td>
233          <td></td>
234          <td class="paramtype">vec &amp;&nbsp;</td>
235          <td class="paramname"> <em>ll</em>, </td>
236        </tr>
237        <tr>
238          <td class="paramkey"></td>
239          <td></td>
240          <td class="paramtype">int&nbsp;</td>
241          <td class="paramname"> <em>N</em></td><td>&nbsp;</td>
242        </tr>
243        <tr>
244          <td></td>
245          <td>)</td>
246          <td></td><td></td><td><code> [inline, virtual, inherited]</code></td>
247        </tr>
248      </table>
249</div>
250<div class="memdoc">
251
252<p>
253Returns.
254<p>
255<dl compact><dt><b>Parameters:</b></dt><dd>
256  <table border="0" cellspacing="2" cellpadding="0">
257    <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>
258    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
259    <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>
260  </table>
261</dl>
262
263<p>References <a class="el" href="libBM_8h-source.html#l00248">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00084">bdm::RV::count()</a>, <a class="el" href="libBM_8h-source.html#l00231">bdm::mpdf::ep</a>, <a class="el" href="classbdm_1_1epdf.html#a8e39e2ff5e5cf5471bc159530d3b2d3">bdm::epdf::evallog()</a>, <a class="el" href="libBM_8h-source.html#l00227">bdm::mpdf::rv</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p>
264
265</div>
266</div><p>
267<hr>The documentation for this class was generated from the following file:<ul>
268<li><a class="el" href="emix_8h-source.html">emix.h</a></ul>
269</div>
270<hr size="1"><address style="text-align: right;"><small>Generated on Fri Feb 6 19:50:05 2009 for mixpp by&nbsp;
271<a href="http://www.doxygen.org/index.html">
272<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
273</body>
274</html>
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