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27  <div class="navpath"><a class="el" href="namespacebdm.html">bdm</a>::<a class="el" href="classbdm_1_1mprod.html">mprod</a>
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31<h1>bdm::mprod Class Reference</h1><!-- doxytag: class="bdm::mprod" --><!-- doxytag: inherits="bdm::compositepdf,bdm::mpdf" -->Chain rule decomposition of <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>. 
32<a href="#_details">More...</a>
33<p>
34<code>#include &lt;<a class="el" href="emix_8h-source.html">emix.h</a>&gt;</code>
35<p>
36<div class="dynheader">
37Inheritance diagram for bdm::mprod:</div>
38<div class="dynsection">
39<p><center><img src="classbdm_1_1mprod__inherit__graph.png" border="0" usemap="#bdm_1_1mprod__inherit__map" alt="Inheritance graph"></center>
40<map name="bdm_1_1mprod__inherit__map">
41<area shape="rect" href="classbdm_1_1compositepdf.html" title="Abstract composition of pdfs, will be used for specific classes this abstract class..." alt="" coords="5,84,149,111"><area shape="rect" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="173,84,264,111"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="163,7,275,33"></map>
42<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
43<div class="dynheader">
44Collaboration diagram for bdm::mprod:</div>
45<div class="dynsection">
46<p><center><img src="classbdm_1_1mprod__coll__graph.png" border="0" usemap="#bdm_1_1mprod__coll__map" alt="Collaboration graph"></center>
47<map name="bdm_1_1mprod__coll__map">
48<area shape="rect" href="classbdm_1_1compositepdf.html" title="Abstract composition of pdfs, will be used for specific classes this abstract class..." alt="" coords="5,284,149,311"><area shape="rect" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="173,284,264,311"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="175,7,287,33"><area shape="rect" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables." alt="" coords="193,87,268,113"><area shape="rect" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density." alt="" coords="261,185,347,212"></map>
49<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
50
51<p>
52<a href="classbdm_1_1mprod-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
53<tr><td></td></tr>
54<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
55<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="680c3e2d95b116c7cfb227c7f2984525"></a><!-- doxytag: member="bdm::mprod::mprod" ref="680c3e2d95b116c7cfb227c7f2984525" args="(Array&lt; mpdf * &gt; mFacs)" -->
56&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mprod.html#680c3e2d95b116c7cfb227c7f2984525">mprod</a> (Array&lt; <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> * &gt; mFacs)</td></tr>
57
58<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor from list of mFacs,. <br></td></tr>
59<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="800f21d94c919137608a2fd5c88719e2"></a><!-- doxytag: member="bdm::mprod::evallogcond" ref="800f21d94c919137608a2fd5c88719e2" args="(const vec &amp;val, const vec &amp;cond)" -->
60double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mprod.html#800f21d94c919137608a2fd5c88719e2">evallogcond</a> (const vec &amp;val, const vec &amp;cond)</td></tr>
61
62<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>
63<tr><td class="memItemLeft" nowrap align="right" valign="top">vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mprod.html#1a37c2aaba8bde7fce5351c39b6e1168">samplecond</a> (const vec &amp;cond, double &amp;ll)</td></tr>
64
65<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="#1a37c2aaba8bde7fce5351c39b6e1168"></a><br></td></tr>
66<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b493b5565dc6a5617927421d32697cc6"></a><!-- doxytag: member="bdm::mprod::samplecond" ref="b493b5565dc6a5617927421d32697cc6" args="(const vec &amp;cond, vec &amp;ll, int N)" -->
67mat&nbsp;</td><td class="memItemRight" valign="bottom"><b>samplecond</b> (const vec &amp;cond, vec &amp;ll, int N)</td></tr>
68
69<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1compositepdf.html#c73d39acc4378eee6a63155c3517d3c9">getrv</a> (bool checkoverlap=false)</td></tr>
70
71<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">find common rv, flag  <a href="#c73d39acc4378eee6a63155c3517d3c9"></a><br></td></tr>
72<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c71fc2c51f49d797e61f479f543c75ce"></a><!-- doxytag: member="bdm::mprod::setrvc" ref="c71fc2c51f49d797e61f479f543c75ce" args="(const RV &amp;rv, RV &amp;rvc)" -->
73void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1compositepdf.html#c71fc2c51f49d797e61f479f543c75ce">setrvc</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1mpdf.html#9bcfb45435d30983f436d41c298cbb51">rv</a>, <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1mpdf.html#5a5f08950daa08b85b01ddf4e1c36288">rvc</a>)</td></tr>
74
75<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">common rvc of all mpdfs is written to rvc <br></td></tr>
76<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>
77
78<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns.  <a href="#ee26963a637b2ea1fb1933652981e652"></a><br></td></tr>
79<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="db94784a9aacf74c65c5a014f6743530"></a><!-- doxytag: member="bdm::mprod::condition" ref="db94784a9aacf74c65c5a014f6743530" args="(const vec &amp;cond)" -->
80virtual 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>
81
82<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>
83<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0b0ed1ed663071bb7cf4a1349eb94fcb"></a><!-- doxytag: member="bdm::mprod::evallogcond_m" ref="0b0ed1ed663071bb7cf4a1349eb94fcb" args="(const mat &amp;Dt, const vec &amp;cond)" -->
84virtual 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>
85
86<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix version of evallogcond. <br></td></tr>
87<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b3aba7311038bf990d706a64cab60cf8"></a><!-- doxytag: member="bdm::mprod::_rvc" ref="b3aba7311038bf990d706a64cab60cf8" args="() const " -->
88<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>
89
90<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
91<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="222d5280e309c5a053ba73841e98c151"></a><!-- doxytag: member="bdm::mprod::_rv" ref="222d5280e309c5a053ba73841e98c151" args="() const " -->
92<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>
93
94<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
95<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1892fe3933488942253679f068e9e7f6"></a><!-- doxytag: member="bdm::mprod::_epdf" ref="1892fe3933488942253679f068e9e7f6" args="()" -->
96<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>
97
98<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
99<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05e843fd11c410a99dad2b88c55aca80"></a><!-- doxytag: member="bdm::mprod::_e" ref="05e843fd11c410a99dad2b88c55aca80" args="()" -->
100<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>
101
102<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
103<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
104<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eca722ed1b219727c6c0f8cbc6bf1e51"></a><!-- doxytag: member="bdm::mprod::epdfs" ref="eca722ed1b219727c6c0f8cbc6bf1e51" args="" -->
105Array&lt; <a class="el" href="classbdm_1_1epdf.html">epdf</a> * &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mprod.html#eca722ed1b219727c6c0f8cbc6bf1e51">epdfs</a></td></tr>
106
107<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">pointers to epdfs - shortcut to <a class="el" href="classbdm_1_1compositepdf.html#23faf2debc4dde10836393b8c665914a" title="Elements of composition.">mpdfs()</a>.<a class="el" href="classbdm_1_1mpdf.html#1892fe3933488942253679f068e9e7f6" title="access function">_epdf()</a> <br></td></tr>
108<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="acf679b3b1d48629c5a042d9ac0d973f"></a><!-- doxytag: member="bdm::mprod::dls" ref="acf679b3b1d48629c5a042d9ac0d973f" args="" -->
109Array&lt; <a class="el" href="classbdm_1_1datalink__m2m.html">datalink_m2m</a> * &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mprod.html#acf679b3b1d48629c5a042d9ac0d973f">dls</a></td></tr>
110
111<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Data link for each mpdfs. <br></td></tr>
112<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7ca3cd8ed92a7154f5b9ff13b1e9d52a"></a><!-- doxytag: member="bdm::mprod::n" ref="7ca3cd8ed92a7154f5b9ff13b1e9d52a" args="" -->
113int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1compositepdf.html#7ca3cd8ed92a7154f5b9ff13b1e9d52a">n</a></td></tr>
114
115<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Number of mpdfs in the composite. <br></td></tr>
116<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="23faf2debc4dde10836393b8c665914a"></a><!-- doxytag: member="bdm::mprod::mpdfs" ref="23faf2debc4dde10836393b8c665914a" args="" -->
117Array&lt; <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> * &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1compositepdf.html#23faf2debc4dde10836393b8c665914a">mpdfs</a></td></tr>
118
119<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Elements of composition. <br></td></tr>
120<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9bcfb45435d30983f436d41c298cbb51"></a><!-- doxytag: member="bdm::mprod::rv" ref="9bcfb45435d30983f436d41c298cbb51" args="" -->
121<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>
122
123<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">modeled random variable <br></td></tr>
124<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::mprod::rvc" ref="5a5f08950daa08b85b01ddf4e1c36288" args="" -->
125<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>
126
127<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">random variable in condition <br></td></tr>
128<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5eea43c56d38e4441bfb30270db949c0"></a><!-- doxytag: member="bdm::mprod::ep" ref="5eea43c56d38e4441bfb30270db949c0" args="" -->
129<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>
130
131<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>
132</table>
133<hr><a name="_details"></a><h2>Detailed Description</h2>
134Chain rule decomposition of <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>.
135<p>
136Probability density in the form of Chain-rule decomposition: \[ f(x_1,x_2,x_3) = f(x_1|x_2,x_3)f(x_2,x_3)f(x_3) \] Note that <hr><h2>Member Function Documentation</h2>
137<a class="anchor" name="1a37c2aaba8bde7fce5351c39b6e1168"></a><!-- doxytag: member="bdm::mprod::samplecond" ref="1a37c2aaba8bde7fce5351c39b6e1168" args="(const vec &amp;cond, double &amp;ll)" -->
138<div class="memitem">
139<div class="memproto">
140      <table class="memname">
141        <tr>
142          <td class="memname">vec bdm::mprod::samplecond           </td>
143          <td>(</td>
144          <td class="paramtype">const vec &amp;&nbsp;</td>
145          <td class="paramname"> <em>cond</em>, </td>
146        </tr>
147        <tr>
148          <td class="paramkey"></td>
149          <td></td>
150          <td class="paramtype">double &amp;&nbsp;</td>
151          <td class="paramname"> <em>ll</em></td><td>&nbsp;</td>
152        </tr>
153        <tr>
154          <td></td>
155          <td>)</td>
156          <td></td><td></td><td><code> [inline, virtual]</code></td>
157        </tr>
158      </table>
159</div>
160<div class="memdoc">
161
162<p>
163Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.
164<p>
165<dl compact><dt><b>Parameters:</b></dt><dd>
166  <table border="0" cellspacing="2" cellpadding="0">
167    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
168    <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>
169  </table>
170</dl>
171
172<p>Reimplemented from <a class="el" href="classbdm_1_1mpdf.html#e4848a428d8ef0549c6e4a9ed386d9f2">bdm::mpdf</a>.</p>
173
174<p>References <a class="el" href="libBM_8h-source.html#l00083">bdm::RV::count()</a>, <a class="el" href="emix_8h-source.html#l00166">dls</a>, <a class="el" href="emix_8h-source.html#l00164">epdfs</a>, <a class="el" href="libBM_8h-source.html#l00395">bdm::compositepdf::mpdfs</a>, <a class="el" href="libBM_8h-source.html#l00393">bdm::compositepdf::n</a>, and <a class="el" href="libBM_8h-source.html#l00226">bdm::mpdf::rv</a>.</p>
175
176</div>
177</div><p>
178<a class="anchor" name="c73d39acc4378eee6a63155c3517d3c9"></a><!-- doxytag: member="bdm::mprod::getrv" ref="c73d39acc4378eee6a63155c3517d3c9" args="(bool checkoverlap=false)" -->
179<div class="memitem">
180<div class="memproto">
181      <table class="memname">
182        <tr>
183          <td class="memname"><a class="el" href="classbdm_1_1RV.html">RV</a> bdm::compositepdf::getrv           </td>
184          <td>(</td>
185          <td class="paramtype">bool&nbsp;</td>
186          <td class="paramname"> <em>checkoverlap</em> = <code>false</code>          </td>
187          <td>&nbsp;)&nbsp;</td>
188          <td><code> [inherited]</code></td>
189        </tr>
190      </table>
191</div>
192<div class="memdoc">
193
194<p>
195find common rv, flag
196<p>
197<dl compact><dt><b>Parameters:</b></dt><dd>
198  <table border="0" cellspacing="2" cellpadding="0">
199    <tr><td valign="top"></td><td valign="top"><em>checkoverlap</em>&nbsp;</td><td>modifies whether overlaps are acceptable </td></tr>
200  </table>
201</dl>
202
203<p>References <a class="el" href="libBM_8cpp-source.html#l00054">bdm::RV::add()</a>, <a class="el" href="libBM_8h-source.html#l00395">bdm::compositepdf::mpdfs</a>, and <a class="el" href="libBM_8h-source.html#l00393">bdm::compositepdf::n</a>.</p>
204
205</div>
206</div><p>
207<a class="anchor" name="ee26963a637b2ea1fb1933652981e652"></a><!-- doxytag: member="bdm::mprod::samplecond_m" ref="ee26963a637b2ea1fb1933652981e652" args="(const vec &amp;cond, vec &amp;ll, int N)" -->
208<div class="memitem">
209<div class="memproto">
210      <table class="memname">
211        <tr>
212          <td class="memname">virtual mat bdm::mpdf::samplecond_m           </td>
213          <td>(</td>
214          <td class="paramtype">const vec &amp;&nbsp;</td>
215          <td class="paramname"> <em>cond</em>, </td>
216        </tr>
217        <tr>
218          <td class="paramkey"></td>
219          <td></td>
220          <td class="paramtype">vec &amp;&nbsp;</td>
221          <td class="paramname"> <em>ll</em>, </td>
222        </tr>
223        <tr>
224          <td class="paramkey"></td>
225          <td></td>
226          <td class="paramtype">int&nbsp;</td>
227          <td class="paramname"> <em>N</em></td><td>&nbsp;</td>
228        </tr>
229        <tr>
230          <td></td>
231          <td>)</td>
232          <td></td><td></td><td><code> [inline, virtual, inherited]</code></td>
233        </tr>
234      </table>
235</div>
236<div class="memdoc">
237
238<p>
239Returns.
240<p>
241<dl compact><dt><b>Parameters:</b></dt><dd>
242  <table border="0" cellspacing="2" cellpadding="0">
243    <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>
244    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
245    <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>
246  </table>
247</dl>
248
249<p>References <a class="el" href="libBM_8h-source.html#l00247">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00083">bdm::RV::count()</a>, <a class="el" href="libBM_8h-source.html#l00230">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#l00226">bdm::mpdf::rv</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p>
250
251</div>
252</div><p>
253<hr>The documentation for this class was generated from the following file:<ul>
254<li><a class="el" href="emix_8h-source.html">emix.h</a></ul>
255</div>
256<hr size="1"><address style="text-align: right;"><small>Generated on Fri Feb 6 15:29:51 2009 for mixpp by&nbsp;
257<a href="http://www.doxygen.org/index.html">
258<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
259</body>
260</html>
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