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<div class="title">decision_engine.cpp</div>  </div>
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<a href="decision__engine_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*****************************************************************************/</span><span class="comment"></span>
<a name="l00002"></a>00002 <span class="comment">/*!</span>
<a name="l00003"></a>00003 <span class="comment"> * \file decision_engine.cpp</span>
<a name="l00004"></a>00004 <span class="comment"> * \brief Decision Engine</span>
<a name="l00005"></a>00005 <span class="comment"> * </span>
<a name="l00006"></a>00006 <span class="comment"> * Author: Clark Barrett</span>
<a name="l00007"></a>00007 <span class="comment"> * </span>
<a name="l00008"></a>00008 <span class="comment"> * Created: Sun Jul 13 22:44:55 2003</span>
<a name="l00009"></a>00009 <span class="comment"> *</span>
<a name="l00010"></a>00010 <span class="comment"> * &lt;hr&gt;</span>
<a name="l00011"></a>00011 <span class="comment"> *</span>
<a name="l00012"></a>00012 <span class="comment"> * License to use, copy, modify, sell and/or distribute this software</span>
<a name="l00013"></a>00013 <span class="comment"> * and its documentation for any purpose is hereby granted without</span>
<a name="l00014"></a>00014 <span class="comment"> * royalty, subject to the terms and conditions defined in the \ref</span>
<a name="l00015"></a>00015 <span class="comment"> * LICENSE file provided with this distribution.</span>
<a name="l00016"></a>00016 <span class="comment"> * </span>
<a name="l00017"></a>00017 <span class="comment"> * &lt;hr&gt;</span>
<a name="l00018"></a>00018 <span class="comment"> * </span>
<a name="l00019"></a>00019 <span class="comment"> */</span>
<a name="l00020"></a>00020 <span class="comment">/*****************************************************************************/</span>
<a name="l00021"></a>00021 
<a name="l00022"></a>00022 
<a name="l00023"></a>00023 <span class="preprocessor">#include &quot;<a class="code" href="decision__engine_8h.html">decision_engine.h</a>&quot;</span>
<a name="l00024"></a>00024 <span class="preprocessor">#include &quot;<a class="code" href="theory__core_8h.html">theory_core.h</a>&quot;</span>
<a name="l00025"></a>00025 <span class="preprocessor">#include &quot;<a class="code" href="search_8h.html" title="Abstract API to the proof search engine.">search.h</a>&quot;</span>
<a name="l00026"></a>00026 
<a name="l00027"></a>00027 
<a name="l00028"></a>00028 <span class="keyword">using namespace </span>std;
<a name="l00029"></a>00029 <span class="keyword">using namespace </span>CVC3;
<a name="l00030"></a>00030 
<a name="l00031"></a>00031 
<a name="l00032"></a><a class="code" href="group__DE.html#gae0864ba9d167d33e9d1c1ed4416a76fd">00032</a> DecisionEngine::DecisionEngine(<a class="code" href="classCVC3_1_1TheoryCore.html" title="This theory handles the built-in logical connectives plus equality. It also handles the registration ...">TheoryCore</a>* core, <a class="code" href="classCVC3_1_1SearchImplBase.html" title="API to to a generic proof search engine (a.k.a. SAT solver)">SearchImplBase</a>* se)
<a name="l00033"></a>00033   : d_core(core), d_se(se),
<a name="l00034"></a>00034     d_splitters(core-&gt;getCM()-&gt;getCurrentContext()),
<a name="l00035"></a>00035     d_splitterCount(core-&gt;getStatistics().counter(<span class="stringliteral">&quot;splitters&quot;</span>))
<a name="l00036"></a>00036 {
<a name="l00037"></a>00037   <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(<a class="code" href="group__DE.html#gaf662ad88359f7ce623ffe35ebc6d74ef" title="List of currently active splitters.">d_splitters</a>.setName(<span class="stringliteral">&quot;CDList[SearchEngineDefault.d_splitters]&quot;</span>);)
<a name="l00038"></a>00038 }
<a name="l00039"></a>00039 
<a name="l00040"></a>00040 <span class="comment">/*****************************************************************************/</span><span class="comment"></span>
<a name="l00041"></a>00041 <span class="comment">/*!</span>
<a name="l00042"></a>00042 <span class="comment"> * Function: DecisionEngine::findSplitterRec</span>
<a name="l00043"></a>00043 <span class="comment"> *</span>
<a name="l00044"></a>00044 <span class="comment"> * Author: Clark Barrett</span>
<a name="l00045"></a>00045 <span class="comment"> *</span>
<a name="l00046"></a>00046 <span class="comment"> * Created: Sun Jul 13 22:47:06 2003</span>
<a name="l00047"></a>00047 <span class="comment"> *</span>
<a name="l00048"></a>00048 <span class="comment"> * Search the expression e (depth-first) for an atomic formula.  Note that in</span>
<a name="l00049"></a>00049 <span class="comment"> * order to support the &quot;simplify in-place&quot; option, each sub-expression is</span>
<a name="l00050"></a>00050 <span class="comment"> * checked to see if it has a find pointer, and if it does, the find is</span>
<a name="l00051"></a>00051 <span class="comment"> * followed instead of continuing to recurse on the given expression.</span>
<a name="l00052"></a>00052 <span class="comment"> * \return a NULL expr if no atomic formula is found.</span>
<a name="l00053"></a>00053 <span class="comment"> */</span>
<a name="l00054"></a>00054 <span class="comment">/*****************************************************************************/</span>
<a name="l00055"></a><a class="code" href="group__DE.html#ga5974aad82f7244de1ce9a49969b2d57d">00055</a> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="group__DE.html#ga5974aad82f7244de1ce9a49969b2d57d">DecisionEngine::findSplitterRec</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e)
<a name="l00056"></a>00056 {
<a name="l00057"></a>00057   <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> best;
<a name="l00058"></a>00058 
<a name="l00059"></a>00059   <span class="keywordflow">if</span>(<a class="code" href="group__DE.html#gab9a86f01371ea2ef051119f0e414727b" title="Visited cache for findSplitterRec traversal.">d_visited</a>.<a class="code" href="classCVC3_1_1ExprMap.html#aa96dfa3a54a131cdb0964ef4b80e324f">count</a>(e) &gt; 0)
<a name="l00060"></a>00060     <span class="keywordflow">return</span> <a class="code" href="group__DE.html#gab9a86f01371ea2ef051119f0e414727b" title="Visited cache for findSplitterRec traversal.">d_visited</a>[e];
<a name="l00061"></a>00061 
<a name="l00062"></a>00062   <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>() || e.<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>() || e.<a class="code" href="group__ExprPkg.html#ga48a9219339b394280550069ac7b0474f" title="Test if e is atomic.">isAtomic</a>()
<a name="l00063"></a>00063       || !<a class="code" href="group__DE.html#ga11d61d4a7d9938dd4c72ffe564dc9cb7" title="Pointer to search engine.">d_se</a>-&gt;<a class="code" href="group__SE.html#gaed4079f44a18e496b87366ce65b20d99" title="Check if a splitter is required for completeness.">isGoodSplitter</a>(e)) {
<a name="l00064"></a>00064     <a class="code" href="group__DE.html#gab9a86f01371ea2ef051119f0e414727b" title="Visited cache for findSplitterRec traversal.">d_visited</a>[e] = best;
<a name="l00065"></a>00065     <span class="keywordflow">return</span> best;
<a name="l00066"></a>00066   }
<a name="l00067"></a>00067 
<a name="l00068"></a>00068   <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga5fe5158aefab64fd8adda48ecebb98f9" title="An abstract atomic formua is an atomic formula or a quantified formula.">isAbsAtomicFormula</a>()) {
<a name="l00069"></a>00069     <a class="code" href="group__DE.html#gab9a86f01371ea2ef051119f0e414727b" title="Visited cache for findSplitterRec traversal.">d_visited</a>[e] = e;
<a name="l00070"></a>00070     <span class="keywordflow">return</span> e;
<a name="l00071"></a>00071   }
<a name="l00072"></a>00072 
<a name="l00073"></a>00073   <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap&lt;Expr&gt;::iterator</a> it = <a class="code" href="group__DE.html#ga922651f82bf5dec8e9f6d7211507a6fd">d_bestByExpr</a>.<a class="code" href="classCVC3_1_1ExprMap.html#ae50ab1874dd63b575553e7db769abe28">find</a>(e);
<a name="l00074"></a>00074   <span class="keywordflow">if</span> (it != <a class="code" href="group__DE.html#ga922651f82bf5dec8e9f6d7211507a6fd">d_bestByExpr</a>.<a class="code" href="classCVC3_1_1ExprMap.html#a283ae6c44308cbdda0d82da5a16e52c8">end</a>()) {
<a name="l00075"></a>00075     <a class="code" href="group__DE.html#gab9a86f01371ea2ef051119f0e414727b" title="Visited cache for findSplitterRec traversal.">d_visited</a>[e] = it-&gt;second;
<a name="l00076"></a>00076     <span class="keywordflow">return</span> it-&gt;second;
<a name="l00077"></a>00077   }
<a name="l00078"></a>00078 
<a name="l00079"></a>00079   vector&lt;int&gt; order(e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>());
<a name="l00080"></a>00080   <span class="keywordtype">int</span> i = 0;
<a name="l00081"></a>00081 
<a name="l00082"></a>00082   <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>())
<a name="l00083"></a>00083   {
<a name="l00084"></a>00084     order[i++] = 0;
<a name="l00085"></a>00085     order[i++] = 1;<span class="comment">//e.getHighestKid(); // always 1 or 2</span>
<a name="l00086"></a>00086     order[i++] = 2;<span class="comment">//3 - e.getHighestKid();</span>
<a name="l00087"></a>00087   }
<a name="l00088"></a>00088 
<a name="l00089"></a>00089   <span class="keywordflow">else</span>
<a name="l00090"></a>00090   {
<a name="l00091"></a>00091     <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() &gt; 0)
<a name="l00092"></a>00092     {
<a name="l00093"></a>00093       order[i++] = 0;<span class="comment">//e.getHighestKid();</span>
<a name="l00094"></a>00094       <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++k)
<a name="l00095"></a>00095   <span class="keywordflow">if</span> (k != 0)<span class="comment">//e.getHighestKid())</span>
<a name="l00096"></a>00096     order[i++] = k;
<a name="l00097"></a>00097     }
<a name="l00098"></a>00098   }
<a name="l00099"></a>00099 
<a name="l00100"></a>00100   <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); k++)
<a name="l00101"></a>00101   {
<a name="l00102"></a>00102     <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> splitter =
<a name="l00103"></a>00103       <a class="code" href="group__DE.html#ga5974aad82f7244de1ce9a49969b2d57d">findSplitterRec</a>(<a class="code" href="group__DE.html#gaea6842e7db1a4cb203d8a6da726b52ed" title="Pointer to core theory.">d_core</a>-&gt;<a class="code" href="classCVC3_1_1Theory.html#a08412b310cb743536f7edd9fccd60e46" title="Return the find of e, or e if it has no find.">findExpr</a>(e[order[k]]));
<a name="l00104"></a>00104     <span class="keywordflow">if</span> (!splitter.<a class="code" href="group__ExprPkg.html#ga0265d1ca42fa59c95aaff3ca675b6504">isNull</a>() &amp;&amp; (best.<a class="code" href="group__ExprPkg.html#ga0265d1ca42fa59c95aaff3ca675b6504">isNull</a>() || <a class="code" href="group__DE.html#gaaa431eec1b04f02c8a7573d34616158b">isBetter</a>(splitter, best)))
<a name="l00105"></a>00105       best = splitter;
<a name="l00106"></a>00106   }
<a name="l00107"></a>00107 
<a name="l00108"></a>00108   <a class="code" href="group__DE.html#ga922651f82bf5dec8e9f6d7211507a6fd">d_bestByExpr</a>[e] = best;
<a name="l00109"></a>00109   <a class="code" href="group__DE.html#gab9a86f01371ea2ef051119f0e414727b" title="Visited cache for findSplitterRec traversal.">d_visited</a>[e] = best;
<a name="l00110"></a>00110   <span class="keywordflow">return</span> best;
<a name="l00111"></a>00111 }
<a name="l00112"></a>00112 
<a name="l00113"></a>00113 
<a name="l00114"></a>00114 <span class="comment">/*****************************************************************************/</span><span class="comment"></span>
<a name="l00115"></a>00115 <span class="comment">/*!</span>
<a name="l00116"></a>00116 <span class="comment"> * Function: DecisionEngine::pushDecision</span>
<a name="l00117"></a>00117 <span class="comment"> *</span>
<a name="l00118"></a>00118 <span class="comment"> * Author: Clark Barrett</span>
<a name="l00119"></a>00119 <span class="comment"> *</span>
<a name="l00120"></a>00120 <span class="comment"> * Created: Sun Jul 13 22:55:16 2003</span>
<a name="l00121"></a>00121 <span class="comment"> *</span>
<a name="l00122"></a>00122 <span class="comment"> * \param splitter </span>
<a name="l00123"></a>00123 <span class="comment"> * \param whichCase If true, increment the splitter count and assert the</span>
<a name="l00124"></a>00124 <span class="comment"> * splitter.  If false, do NOT increment the splitter count and assert the</span>
<a name="l00125"></a>00125 <span class="comment"> * negation of the splitter.  Defaults to true.</span>
<a name="l00126"></a>00126 <span class="comment"> */</span>
<a name="l00127"></a>00127 <span class="comment">/*****************************************************************************/</span>
<a name="l00128"></a><a class="code" href="group__DE.html#ga03a83031c2361cce4e8ce952842973be">00128</a> <span class="keywordtype">void</span> <a class="code" href="group__DE.html#ga03a83031c2361cce4e8ce952842973be" title="Push context and record the splitter.">DecisionEngine::pushDecision</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> splitter, <span class="keywordtype">bool</span> whichCase)
<a name="l00129"></a>00129 {
<a name="l00130"></a>00130   <span class="keywordtype">string</span> stCase = whichCase ? <span class="stringliteral">&quot;TRUE&quot;</span> : <span class="stringliteral">&quot;FALSE&quot;</span>;
<a name="l00131"></a>00131   <span class="keywordflow">if</span> (whichCase) <a class="code" href="group__DE.html#gae9092ccb020b756b56556eb57a7af5ab" title="Total number of splitters.">d_splitterCount</a>++;
<a name="l00132"></a>00132   <a class="code" href="group__DE.html#gaea6842e7db1a4cb203d8a6da726b52ed" title="Pointer to core theory.">d_core</a>-&gt;<a class="code" href="classCVC3_1_1TheoryCore.html#a9377f423f4fd59fdac396794363733a6">getCM</a>()-&gt;<a class="code" href="classCVC3_1_1ContextManager.html#a90e301927cc935d561b81761d4ab2ee8">push</a>();
<a name="l00133"></a>00133   <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">&quot;search trace&quot;</span>, <span class="stringliteral">&quot;Asserting splitter(&quot;</span>+stCase+<span class="stringliteral">&quot;): &quot;</span>, splitter, <span class="stringliteral">&quot;&quot;</span>);
<a name="l00134"></a>00134   <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">&quot;search&quot;</span>, <span class="stringliteral">&quot;Asserting splitter(&quot;</span>+stCase+<span class="stringliteral">&quot;): &quot;</span>, splitter, <span class="stringliteral">&quot;&quot;</span>);
<a name="l00135"></a>00135   <a class="code" href="group__DE.html#gaf662ad88359f7ce623ffe35ebc6d74ef" title="List of currently active splitters.">d_splitters</a>.<a class="code" href="classCVC3_1_1CDList.html#aa1e8d3591c596d1b9c585dec955b519b">push_back</a>(splitter);
<a name="l00136"></a>00136   <span class="keywordflow">if</span> (!whichCase)
<a name="l00137"></a>00137     splitter = splitter.<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>();
<a name="l00138"></a>00138   <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> thm = <a class="code" href="group__DE.html#ga11d61d4a7d9938dd4c72ffe564dc9cb7" title="Pointer to search engine.">d_se</a>-&gt;<a class="code" href="group__SE.html#ga635768498a239f0193de5f1445676f65" title="Add a new internal asserion.">newIntAssumption</a>(splitter);
<a name="l00139"></a>00139   <a class="code" href="group__DE.html#gaea6842e7db1a4cb203d8a6da726b52ed" title="Pointer to core theory.">d_core</a>-&gt;<a class="code" href="classCVC3_1_1TheoryCore.html#aecef2465eb761f7f112ddce77f93d081" title="Add a new assertion to the core from the user or a SAT solver. Do NOT use it in a decision procedure;...">addFact</a>(thm);
<a name="l00140"></a>00140   <span class="comment">// Search engine needs to know what original facts it derived or</span>
<a name="l00141"></a>00141   <span class="comment">// split on, so that we don&#39;t split on them twice.  addFact() may</span>
<a name="l00142"></a>00142   <span class="comment">// simplify these facts before calling addLiteralFact() and lose</span>
<a name="l00143"></a>00143   <span class="comment">// this information.  There is no reason to add non-literals though,</span>
<a name="l00144"></a>00144   <span class="comment">// as we never split on them directly.</span>
<a name="l00145"></a>00145   <span class="keywordflow">if</span>(thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaac535dae48f02fcd093a5b1b1a062211" title="Test if e is an abstract literal.">isAbsLiteral</a>())
<a name="l00146"></a>00146     <a class="code" href="group__DE.html#ga11d61d4a7d9938dd4c72ffe564dc9cb7" title="Pointer to search engine.">d_se</a>-&gt;<a class="code" href="group__SE.html#gaed2d918b4d0eb14d99bf63882fe2df1a" title="Notify the search engine about a new literal fact.">addLiteralFact</a>(thm);
<a name="l00147"></a>00147 }
<a name="l00148"></a>00148 
<a name="l00149"></a>00149 
<a name="l00150"></a><a class="code" href="group__DE.html#ga96c0e5c796d102da129381dd12595e8a">00150</a> <span class="keywordtype">void</span> <a class="code" href="group__DE.html#ga96c0e5c796d102da129381dd12595e8a" title="Pop last decision (and context)">DecisionEngine::popDecision</a>()
<a name="l00151"></a>00151 {
<a name="l00152"></a>00152   <a class="code" href="group__DE.html#gaea6842e7db1a4cb203d8a6da726b52ed" title="Pointer to core theory.">d_core</a>-&gt;<a class="code" href="classCVC3_1_1TheoryCore.html#a9377f423f4fd59fdac396794363733a6">getCM</a>()-&gt;<a class="code" href="classCVC3_1_1ContextManager.html#ae74b114a270baff44940a8916d958e9c">pop</a>();
<a name="l00153"></a>00153   <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">&quot;search trace&quot;</span>, <span class="stringliteral">&quot;Pop: scope level =&quot;</span>, <a class="code" href="group__DE.html#gaea6842e7db1a4cb203d8a6da726b52ed" title="Pointer to core theory.">d_core</a>-&gt;<a class="code" href="classCVC3_1_1TheoryCore.html#a9377f423f4fd59fdac396794363733a6">getCM</a>()-&gt;<a class="code" href="classCVC3_1_1ContextManager.html#a194f7ddd794eaa876544a45006a3ff6f">scopeLevel</a>(), <span class="stringliteral">&quot;&quot;</span>);
<a name="l00154"></a>00154 }
<a name="l00155"></a>00155 
<a name="l00156"></a>00156 
<a name="l00157"></a><a class="code" href="group__DE.html#ga90d2e881c4cc004754708ee579682d85">00157</a> <span class="keywordtype">void</span> <a class="code" href="group__DE.html#ga90d2e881c4cc004754708ee579682d85" title="Pop to given scope.">DecisionEngine::popTo</a>(<span class="keywordtype">int</span> dl)
<a name="l00158"></a>00158 {
<a name="l00159"></a>00159   <a class="code" href="group__DE.html#gaea6842e7db1a4cb203d8a6da726b52ed" title="Pointer to core theory.">d_core</a>-&gt;<a class="code" href="classCVC3_1_1TheoryCore.html#a9377f423f4fd59fdac396794363733a6">getCM</a>()-&gt;<a class="code" href="classCVC3_1_1ContextManager.html#a0a0dc6f3a5a7ce61cf02566fe31b8691">popto</a>(dl);
<a name="l00160"></a>00160   <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">&quot;search trace&quot;</span>, <span class="stringliteral">&quot;Popto: scope level =&quot;</span>, <a class="code" href="group__DE.html#gaea6842e7db1a4cb203d8a6da726b52ed" title="Pointer to core theory.">d_core</a>-&gt;<a class="code" href="classCVC3_1_1TheoryCore.html#a9377f423f4fd59fdac396794363733a6">getCM</a>()-&gt;<a class="code" href="classCVC3_1_1ContextManager.html#a194f7ddd794eaa876544a45006a3ff6f">scopeLevel</a>(), <span class="stringliteral">&quot;&quot;</span>);
<a name="l00161"></a>00161 }
<a name="l00162"></a>00162 
<a name="l00163"></a>00163 
<a name="l00164"></a><a class="code" href="group__DE.html#ga5b67011c3ea03780faf2071d5085a544">00164</a> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="group__DE.html#ga5b67011c3ea03780faf2071d5085a544" title="Return the last known splitter.">DecisionEngine::lastSplitter</a>()
<a name="l00165"></a>00165 {
<a name="l00166"></a>00166   <span class="keywordflow">return</span> <a class="code" href="group__DE.html#gaf662ad88359f7ce623ffe35ebc6d74ef" title="List of currently active splitters.">d_splitters</a>.<a class="code" href="classCVC3_1_1CDList.html#ad6812838e872789a511317c79981a208">back</a>();
<a name="l00167"></a>00167 }
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