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<a href="theory__arith__old_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*****************************************************************************/</span><span class="comment"></span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * \file theory_arith_old.h</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * Author: Clark Barrett</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * Created: Thu Jun 14 13:22:11 2007</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * <hr></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * License to use, copy, modify, sell and/or distribute this software</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * and its documentation for any purpose is hereby granted without</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * royalty, subject to the terms and conditions defined in the \ref</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * LICENSE file provided with this distribution.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * <hr></span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">/*****************************************************************************/</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#ifndef _cvc3__include__theory_arith_old_h_</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor"></span><span class="preprocessor">#define _cvc3__include__theory_arith_old_h_</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "<a class="code" href="theory__arith_8h.html">theory_arith.h</a>"</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <set></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <list></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">namespace </span>CVC3 {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html"> 30</a></span> <span class="keyword">class </span><a class="code" href="classCVC3_1_1TheoryArithOld.html">TheoryArithOld</a> :<span class="keyword">public</span> <a class="code" href="classCVC3_1_1TheoryArith.html" title="This theory handles basic linear arithmetic.">TheoryArith</a> {</div>
<div class="line"><a name="l00031"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a475767dfdb12442c31b65bd944b00b10"> 31</a></span>  <a class="code" href="classCVC3_1_1CDList.html">CDList<Theorem></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a475767dfdb12442c31b65bd944b00b10">d_diseq</a>; <span class="comment">// For concrete model generation</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a2a0a551f54d4d406e672526fc863e982"> 32</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<size_t></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a2a0a551f54d4d406e672526fc863e982">d_diseqIdx</a>; <span class="comment">// Index to the next unprocessed disequality</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#aa9f5d8de688f66aecd61f2c079b0e4e8"> 33</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aa9f5d8de688f66aecd61f2c079b0e4e8">diseqSplitAlready</a>; <span class="comment">// Have we eplit on this disequality already</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a1f700d0b7e2e30c96ed9d9640d988860"> 34</a></span>  <a class="code" href="classCVC3_1_1ArithProofRules.html">ArithProofRules</a>* <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1f700d0b7e2e30c96ed9d9640d988860">d_rules</a>;</div>
<div class="line"><a name="l00035"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a40829e395fe9f98d5b1a043df470c50c"> 35</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a40829e395fe9f98d5b1a043df470c50c">d_inModelCreation</a>;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"></span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> //! Data class for the strongest free constant in separation inqualities</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html"> 38</a></span> <span class="comment"></span> <span class="keyword">class </span><a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html" title="Data class for the strongest free constant in separation inqualities.">FreeConst</a> {</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00040"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#ae60b31be79afae97d45d64a32ea7161f"> 40</a></span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#ae60b31be79afae97d45d64a32ea7161f">d_r</a>;</div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#aa0b84b0f9606c1e94acb0a7e1d61f01f"> 41</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#aa0b84b0f9606c1e94acb0a7e1d61f01f">d_strict</a>;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00043"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#acab1dc19c810e929fa3dc26a3a7806ad"> 43</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#acab1dc19c810e929fa3dc26a3a7806ad">FreeConst</a>() { }</div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#a1d31cb00e4c1d0ec7383b579c9460263"> 44</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#a1d31cb00e4c1d0ec7383b579c9460263">FreeConst</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& r, <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#aed7ca10a7659b945907016f3794d4e4a">strict</a>): <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#ae60b31be79afae97d45d64a32ea7161f">d_r</a>(r), <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#aa0b84b0f9606c1e94acb0a7e1d61f01f">d_strict</a>(strict) { }</div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#a55ac7d7eb46f1eae437b995132af2aa9"> 45</a></span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#a55ac7d7eb46f1eae437b995132af2aa9">getConst</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#ae60b31be79afae97d45d64a32ea7161f">d_r</a>; }</div>
<div class="line"><a name="l00046"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#aed7ca10a7659b945907016f3794d4e4a"> 46</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#aed7ca10a7659b945907016f3794d4e4a">strict</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html#aa0b84b0f9606c1e94acb0a7e1d61f01f">d_strict</a>; }</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  };<span class="comment"></span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"> //! Printing</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"></span> <span class="keyword">friend</span> std::ostream& <a class="code" href="classCVC3_1_1TheoryArithOld.html#a24b0687e8f0fa36a6d5bacc8155517e2" title="Printing.">operator<<</a>(std::ostream& os, <span class="keyword">const</span> FreeConst& fc);</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"></span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> //! Private class for an inequality in the Fourier-Motzkin database</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html"> 52</a></span> <span class="comment"></span> <span class="keyword">class </span><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html" title="Private class for an inequality in the Fourier-Motzkin database.">Ineq</a> {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a82f90cb62e3cb417bca7af92fa67a716"> 54</a></span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a82f90cb62e3cb417bca7af92fa67a716" title="The inequality.">d_ineq</a>; <span class="comment">//!< The inequality</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a33c7901cb5e1810fab974a8d5aa40c23"> 55</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a33c7901cb5e1810fab974a8d5aa40c23" title="Var is isolated on the RHS.">d_rhs</a>; <span class="comment">//!< Var is isolated on the RHS</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a9a9a4aa49efb6a417d088a662a37eb2b"> 56</a></span> <span class="comment"></span> <span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html" title="Data class for the strongest free constant in separation inqualities.">FreeConst</a>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a9a9a4aa49efb6a417d088a662a37eb2b">d_const</a>; <span class="comment">//!< The max/min const for subsumption check</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"></span><span class="comment"> //! Default constructor is disabled</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a26cf2ea9daf1db49aa7cd3fb8b2c65ba"> 58</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a26cf2ea9daf1db49aa7cd3fb8b2c65ba" title="Default constructor is disabled.">Ineq</a>() { }</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">public</span>:<span class="comment"></span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"> //! Initial constructor. 'r' is taken from the subsumption database.</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#ab6837fd77cd03e61093f11ccdc20f8bd"> 61</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a26cf2ea9daf1db49aa7cd3fb8b2c65ba" title="Default constructor is disabled.">Ineq</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a15f8c72ff78626bfc273a202040b047c" title="Get the inequality.">ineq</a>, <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a356ba30a472260912f9bc6f9273929e0" title="Flag whether var is isolated on the RHS.">varOnRHS</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html" title="Data class for the strongest free constant in separation inqualities.">FreeConst</a>& c):</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a82f90cb62e3cb417bca7af92fa67a716" title="The inequality.">d_ineq</a>(ineq), <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a33c7901cb5e1810fab974a8d5aa40c23" title="Var is isolated on the RHS.">d_rhs</a>(varOnRHS), <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a9a9a4aa49efb6a417d088a662a37eb2b">d_const</a>(&c) { }<span class="comment"></span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> //! Get the inequality</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a15f8c72ff78626bfc273a202040b047c"> 64</a></span> <span class="comment"></span> <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a15f8c72ff78626bfc273a202040b047c" title="Get the inequality.">ineq</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a82f90cb62e3cb417bca7af92fa67a716" title="The inequality.">d_ineq</a>; }<span class="comment"></span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"> //! Get the max/min constant</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a2387b0669cceaf6432294824939ceb6c"> 66</a></span> <span class="comment"></span> <span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html" title="Data class for the strongest free constant in separation inqualities.">FreeConst</a>& <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a2387b0669cceaf6432294824939ceb6c" title="Get the max/min constant.">getConst</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> *<a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a9a9a4aa49efb6a417d088a662a37eb2b">d_const</a>; }<span class="comment"></span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> //! Flag whether var is isolated on the RHS</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a356ba30a472260912f9bc6f9273929e0"> 68</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a356ba30a472260912f9bc6f9273929e0" title="Flag whether var is isolated on the RHS.">varOnRHS</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a33c7901cb5e1810fab974a8d5aa40c23" title="Var is isolated on the RHS.">d_rhs</a>; }<span class="comment"></span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment"> //! Flag whether var is isolated on the LHS</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a720977dd198a7418089d42a9e4dcd149"> 70</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a720977dd198a7418089d42a9e4dcd149" title="Flag whether var is isolated on the LHS.">varOnLHS</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> !<a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a33c7901cb5e1810fab974a8d5aa40c23" title="Var is isolated on the RHS.">d_rhs</a>; }<span class="comment"></span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"> //! Auto-cast to Theorem</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a4cd41d9631ffb5dc11eb4cade2cbecfc"> 72</a></span> <span class="comment"></span> <span class="keyword">operator</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1Ineq.html#a82f90cb62e3cb417bca7af92fa67a716" title="The inequality.">d_ineq</a>; }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  };<span class="comment"></span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"> //! Printing</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment"></span> <span class="keyword">friend</span> std::ostream& <a class="code" href="classCVC3_1_1TheoryArithOld.html#a24b0687e8f0fa36a6d5bacc8155517e2" title="Printing.">operator<<</a>(std::ostream& os, <span class="keyword">const</span> Ineq& ineq);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment"></span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment"> //! Database of inequalities with a variable isolated on the right</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#af89e9fc76620b5d170850e769cc0c785"> 78</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<CDList<Ineq></a> *> <a class="code" href="classCVC3_1_1TheoryArithOld.html#af89e9fc76620b5d170850e769cc0c785" title="Database of inequalities with a variable isolated on the right.">d_inequalitiesRightDB</a>;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment"></span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment"> //! Database of inequalities with a variable isolated on the left</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#ad4df2ed12abb38f060e8c82515b8608c"> 81</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<CDList<Ineq></a> *> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ad4df2ed12abb38f060e8c82515b8608c" title="Database of inequalities with a variable isolated on the left.">d_inequalitiesLeftDB</a>;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment"></span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment"> //! Mapping of inequalities to the largest/smallest free constant</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment"></span><span class="comment"> /*! The Expr is the original inequality with the free constant</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="comment"> * removed and inequality converted to non-strict (for indexing</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment"> * purposes). I.e. ax<c+t becomes ax<=t. This inequality is mapped</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment"> * to a pair<c,strict>, the smallest (largest for c+t<ax) constant</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment"> * among inequalities with the same 'a', 'x', and 't', and a boolean</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"> * flag indicating whether the strongest inequality is strict.</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#abf3123ffb3e08ece66d6982e9a4b6c2e"> 91</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, FreeConst></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#abf3123ffb3e08ece66d6982e9a4b6c2e" title="Mapping of inequalities to the largest/smallest free constant.">d_freeConstDB</a>;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// /** Is the problem only difference logic */</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// CDO<bool> isDL;</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// CDO<int> total_buf_size;</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// CDO<int> processed;</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment">//</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// Input buffer to store the incoming inequalities</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a4d49144bb8b5ce32137c7ed8ccf27b32"> 99</a></span>  <a class="code" href="classCVC3_1_1CDList.html">CDList<Theorem></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a4d49144bb8b5ce32137c7ed8ccf27b32" title="Buffer of input inequalities (high priority)">d_buffer_0</a>; <span class="comment">//!< Buffer of input inequalities (high priority)</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#abc136583724a477c0d748096580fe0b9"> 100</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1CDList.html">CDList<Theorem></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#abc136583724a477c0d748096580fe0b9" title="Buffer of input inequalities (one variable)">d_buffer_1</a>; <span class="comment">//!< Buffer of input inequalities (one variable)</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a435fac35fb032c091e227398972ad55e"> 101</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1CDList.html">CDList<Theorem></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a435fac35fb032c091e227398972ad55e" title="Buffer of input inequalities (small constraints)">d_buffer_2</a>; <span class="comment">//!< Buffer of input inequalities (small constraints)</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a4e33f5321cb15e4f7252772c58600bce"> 102</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1CDList.html">CDList<Theorem></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a4e33f5321cb15e4f7252772c58600bce" title="Buffer of input inequalities (big constraint)">d_buffer_3</a>; <span class="comment">//!< Buffer of input inequalities (big constraint)</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment"></span></div>
<div class="line"><a name="l00104"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#aa2f920e8cc39034f24cbe52a7edb7754"> 104</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<size_t></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aa2f920e8cc39034f24cbe52a7edb7754" title="Buffer index of the next unprocessed inequality.">d_bufferIdx_0</a>; <span class="comment">//!< Buffer index of the next unprocessed inequality</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a06582edc6ff3081f420bccb4a35b33e3"> 105</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1CDO.html">CDO<size_t></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a06582edc6ff3081f420bccb4a35b33e3" title="Buffer index of the next unprocessed inequality.">d_bufferIdx_1</a>; <span class="comment">//!< Buffer index of the next unprocessed inequality</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a31b271732e81b39fa2d228af1dff9a68"> 106</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1CDO.html">CDO<size_t></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a31b271732e81b39fa2d228af1dff9a68" title="Buffer index of the next unprocessed inequality.">d_bufferIdx_2</a>; <span class="comment">//!< Buffer index of the next unprocessed inequality</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#aba34300626e64486129e1afa96da9837"> 107</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1CDO.html">CDO<size_t></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aba34300626e64486129e1afa96da9837" title="Buffer index of the next unprocessed inequality.">d_bufferIdx_3</a>; <span class="comment">//!< Buffer index of the next unprocessed inequality</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"></span></div>
<div class="line"><a name="l00109"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#ae176998a4531d73a2723680c45ef618c"> 109</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<size_t></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ae176998a4531d73a2723680c45ef618c" title="Number of queries that are just difference logic.">diff_logic_size</a>; <span class="comment">//!< Number of queries that are just difference logic</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"></span></div>
<div class="line"><a name="l00111"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a53b15103320c4dcce490238f380851ff"> 111</a></span>  <span class="keyword">const</span> <span class="keywordtype">int</span>* <a class="code" href="classCVC3_1_1TheoryArithOld.html#a53b15103320c4dcce490238f380851ff" title="Threshold when the buffer must be processed.">d_bufferThres</a>; <span class="comment">//!< Threshold when the buffer must be processed</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"></span></div>
<div class="line"><a name="l00113"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a7cee71daa7f8f8bbd33d0b6a333f61aa"> 113</a></span>  <span class="keyword">const</span> <span class="keywordtype">bool</span>* <a class="code" href="classCVC3_1_1TheoryArithOld.html#a7cee71daa7f8f8bbd33d0b6a333f61aa">d_splitSign</a>; <span class="comment">// Whether to split on the signs of non-trivial nonlinear products</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#af606dcd2ddc8be8ad3f0bb6fea6eb4db"> 115</a></span>  <span class="keyword">const</span> <span class="keywordtype">int</span>* <a class="code" href="classCVC3_1_1TheoryArithOld.html#af606dcd2ddc8be8ad3f0bb6fea6eb4db" title="Threshold on gray shadow size (ignore it and set incomplete)">d_grayShadowThres</a>; <span class="comment">//!< Threshold on gray shadow size (ignore it and set incomplete)</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"></span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="comment">// Statistics for the variables</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"></span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment"> /*! @brief Mapping of a variable to the number of inequalities where</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment"> the variable would be isolated on the right */</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#ae642c380af492cdc4581a9182514c20c"> 121</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, int></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ae642c380af492cdc4581a9182514c20c" title="Mapping of a variable to the number of inequalities where the variable would be isolated on the right...">d_countRight</a>;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment"></span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment"> /*! @brief Mapping of a variable to the number of inequalities where</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"> the variable would be isolated on the left */</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a69bd49fe441cf96f2c665deb97ab6859"> 125</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, int></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a69bd49fe441cf96f2c665deb97ab6859" title="Mapping of a variable to the number of inequalities where the variable would be isolated on the left...">d_countLeft</a>;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"></span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> //! Set of shared terms (for counterexample generation)</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a5c8d1f10ab619b668988eb866a5b8e45"> 128</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a5c8d1f10ab619b668988eb866a5b8e45" title="Set of shared terms (for counterexample generation)">d_sharedTerms</a>;</div>
<div class="line"><a name="l00129"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#abd3bec60e2dbe8e0c427d91227733dd2"> 129</a></span>  <a class="code" href="classCVC3_1_1CDList.html">CDList<Expr></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#abd3bec60e2dbe8e0c427d91227733dd2">d_sharedTermsList</a>;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"></span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"> //! Set of shared integer variables (i-leaves)</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a84b39d6978a6942723f608da58d54e51"> 132</a></span> <span class="comment"></span> <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a84b39d6978a6942723f608da58d54e51" title="Set of shared integer variables (i-leaves)">d_sharedVars</a>;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">//Directed Acyclic Graph representing partial variable ordering for</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">//variable projection over inequalities.</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html"> 136</a></span>  <span class="keyword">class </span><a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html">VarOrderGraph</a> {</div>
<div class="line"><a name="l00137"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#a11bc58175df42f2fd51489e06ddb57f0"> 137</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<std::vector<Expr></a> > <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#a11bc58175df42f2fd51489e06ddb57f0">d_edges</a>;</div>
<div class="line"><a name="l00138"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#ae56759d90816a022aaf6b5afbe8d4604"> 138</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#ae56759d90816a022aaf6b5afbe8d4604">d_cache</a>;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#a57473e1e2ab66d049df3859816a48c51">dfs</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#a57473e1e2ab66d049df3859816a48c51">dfs</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e1, std::vector<Expr>& output_list);</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#a23f0f51e26002bc941caa23a55ce812f">addEdge</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="comment">//returns true if e1 < e2, false otherwise.</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#acfccb17ecc31cede704da554e8d3f14e">lessThan</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">//selects those variables which are largest and incomparable among</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">//v1 and puts it into v2</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#a02fbf073e8ec356a753bf318b6701b13">selectLargest</a>(<span class="keyword">const</span> std::vector<Expr>& v1, std::vector<Expr>& v2);</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="comment">//selects those variables which are smallest and incomparable among</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="comment">//v1, removes them from v1 and puts them into v2.</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#a3fe7de5a6e79191b3086b05add92a766">selectSmallest</a>( std::vector<Expr>& v1, std::vector<Expr>& v2);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="comment">//returns the list of vertices in the topological order</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html#a9813d7fd535f36502828ebda307d92d0">getVerticesTopological</a>(std::vector<Expr>& output_list);</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  };</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a name="l00155"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a3f242375ca87172a68b30c5a49a0cf2e"> 155</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1VarOrderGraph.html">VarOrderGraph</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a3f242375ca87172a68b30c5a49a0cf2e">d_graph</a>;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="comment">// Private methods</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="comment"></span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="comment"> //! Check the term t for integrality.</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="comment"></span><span class="comment"> /*! \return a theorem of IS_INTEGER(t) or Null. */</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a616b3e984904813383d6bc716496ef06" title="Check the term t for integrality.">isIntegerThm</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="comment"></span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment"> //! A helper method for isIntegerThm()</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment"></span><span class="comment"> /*! Check if IS_INTEGER(e) is easily derivable from the given 'thm' */</span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a6e0c686fb1eedbe704466bceb531dab7" title="A helper method for isIntegerThm()">isIntegerDerive</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& isIntE, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment"></span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment"> //! Extract the free constant from an inequality</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment"></span> <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& <a class="code" href="classCVC3_1_1TheoryArithOld.html#a5adbc1a0946700ed1c6258fd29e044be" title="Extract the free constant from an inequality.">freeConstIneq</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ineq, <span class="keywordtype">bool</span> varOnRHS);</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment"></span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment"> //! Update the free constant subsumption database with new inequality</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment"></span><span class="comment"> /*! \return a reference to the max/min constant.</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment"> * Also, sets 'subsumed' argument to true if the inequality is</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="comment"> * subsumed by an existing inequality.</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1FreeConst.html" title="Data class for the strongest free constant in separation inqualities.">FreeConst</a>& <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1a20be9ae34b5301092b70364d8b4bb1" title="Update the free constant subsumption database with new inequality.">updateSubsumptionDB</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ineq, <span class="keywordtype">bool</span> varOnRHS,</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordtype">bool</span>& subsumed);<span class="comment"></span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment"> //! Check if the kids of e are fully simplified and canonized (for debugging)</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a787aa195e77ab9fd007352d5ad74cc7f" title="Check if the kids of e are fully simplified and canonized (for debugging)">kidsCanonical</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment"></span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="comment"> //! Canonize the expression e, assuming, all children are canonical</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a657b7b3914e46113e28b2e1fff310c26" title="Canonize the expression e, assuming, all children are canonical.">canon</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="comment"></span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="comment"> /*! @brief Canonize and reduce e w.r.t. union-find database; assume</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="comment"> * all children are canonical */</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1c6bb68d18ada95c8780bdce6e6cb5e5" title="Canonize and reduce e w.r.t. union-find database; assume all children are canonical.">canonSimplify</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment"></span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment"> /*! @brief Composition of canonSimplify(const Expr&) by</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="comment"> * transitivity: take e0 = e1, canonize and simplify e1 to e2,</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment"> * return e0 = e2. */</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a04fff631d56ee39c895818f6bb2014b6"> 191</a></span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a04fff631d56ee39c895818f6bb2014b6" title="Composition of canonSimplify(const Expr&) by transitivity: take e0 = e1, canonize and simplify e1 to ...">canonSimplify</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm) {</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Theory.html#a76f6507116e36f46dab074781fb9bf2d" title="(a1 == a2) & (a2 == a3) ==> (a1 == a3)">transitivityRule</a>(thm, <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1c6bb68d18ada95c8780bdce6e6cb5e5" title="Canonize and reduce e w.r.t. union-find database; assume all children are canonical.">canonSimplify</a>(thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>()));</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  }</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment"></span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment"> //! Canonize predicate (x = y, x < y, etc.)</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a3190adc8a44721ed37dfa34333462a0c" title="Canonize predicate (x = y, x < y, etc.)">canonPred</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm);</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment"></span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment"> //! Canonize predicate like canonPred except that the input theorem</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment"> //! is an equivalent transformation.</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a4933900b82159f8380754b386a895f84">canonPredEquiv</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm);</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment"></span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment"> //! Solve an equation and return an equivalent Theorem in the solved form</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a7026fb3070c66f3e3001ca94c3153434" title="Solve an equation and return an equivalent Theorem in the solved form.">doSolve</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e);</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="comment"></span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="comment"> //! takes in a conjunction equivalence Thm and canonizes it.</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a43f9a32880731caf7956db77adf633c8" title="takes in a conjunction equivalence Thm and canonizes it.">canonConjunctionEquiv</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment"></span></div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="comment"> //! picks the monomial with the smallest abs(coeff) from the input</span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment"></span> <span class="comment">//integer equation.</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1c9bcf5e29f48498065f1d32a8c3f4b7" title="picks the monomial with the smallest abs(coeff) from the input">pickIntEqMonomial</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& isolated, <span class="keywordtype">bool</span>& nonlin);</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment"></span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment"> //! processes equalities with 1 or more vars of type REAL</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a8eee6ca3ee410677dea1209a8cbef65f" title="processes equalities with 1 or more vars of type REAL">processRealEq</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& eqn);</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="comment"></span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="comment"> //! processes equalities whose vars are all of type INT</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a4f8a6f8aa73817d4696a4035713c1eaa" title="processes equalities whose vars are all of type INT">processIntEq</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& eqn);</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="comment"></span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment"> //! One step of INT equality processing (aux. method for processIntEq())</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a8b94e299e5947b05b3e29757ff621b56" title="One step of INT equality processing (aux. method for processIntEq())">processSimpleIntEq</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& eqn);</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="comment"></span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="comment"> //! Process inequalities in the buffer</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ad6d1693a1a81c87e64d51abb3596f21b" title="Process inequalities in the buffer.">processBuffer</a>();</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> <span class="comment"></span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="comment"> //! Take an inequality and isolate a variable</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a3bef421de6f4579b54b76666d015ecb4" title="Take an inequality and isolate a variable.">isolateVariable</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& inputThm, <span class="keywordtype">bool</span>& e1);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="comment"></span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="comment"> //! Update the statistics counters for the variable with a coeff. c</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aeda9acb0bae07ff39ce79f8b0e2e83f7" title="Update the statistics counters for the variable with a coeff. c.">updateStats</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& c, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& var);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="comment"></span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="comment"> //! Update the statistics counters for the monomial</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aeda9acb0bae07ff39ce79f8b0e2e83f7" title="Update the statistics counters for the variable with a coeff. c.">updateStats</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& monomial);</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> <span class="comment"></span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> <span class="comment"> //! Add an inequality to the input buffer. See also d_buffer</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a473d3204340c03e97f8eae1975b752cb" title="Add an inequality to the input buffer. See also d_buffer.">addToBuffer</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm, <span class="keywordtype">bool</span> priority = <span class="keyword">false</span>);</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="comment"></span></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="comment"> /*! @brief Given a canonized term, compute a factor to make all</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> <span class="comment"> coefficients integer and relatively prime */</span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1b9f6be5cba7ac4ae67800f5b002ef09" title="Given a canonized term, compute a factor to make all coefficients integer and relatively prime...">computeNormalFactor</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& rhs, <span class="keywordtype">bool</span> normalizeConstants);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> <span class="comment"></span></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="comment"> //! Normalize an equation (make all coefficients rel. prime integers)</span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a19b5fc9e624049923d3bf7d561cf83a8" title="Normalize an equation (make all coefficients rel. prime integers)">normalize</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment"></span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="comment"> //! Normalize an equation (make all coefficients rel. prime integers)</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment"></span><span class="comment"> /*! accepts a rewrite theorem over eqn|ineqn and normalizes it</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="comment"> * and returns a theorem to that effect.</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a19b5fc9e624049923d3bf7d561cf83a8" title="Normalize an equation (make all coefficients rel. prime integers)">normalize</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a12afa30f9322b35f5c79107522aa3d40">pickMonomial</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>);</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1bd6e1f367ec9b69c2f511716c4d4b59">getFactors</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, std::set<Expr>& factors);</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keyword">public</span>: <span class="comment">// ArithTheoremProducer needs these functions, so make them public</span><span class="comment"></span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="comment"> //! Separate monomial e = c*p1*...*pn into c and 1*p1*...*pn</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a7cf2bbefa118b69a416778e98cda8408" title="Separate monomial e = c*p1*...*pn into c and 1*p1*...*pn.">separateMonomial</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& c, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& var);</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> <span class="comment"></span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> <span class="comment"> //! Check the term t for integrality (return bool)</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a849e9094d3af74ee70e45112b353136c"> 258</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a849e9094d3af74ee70e45112b353136c" title="Check the term t for integrality (return bool)">isInteger</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  { <span class="keywordflow">return</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <a class="code" href="namespaceCVC3.html#a8b193cc1fee34cb43707171b2ae6471e">isInt</a>(e.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>()) ? <span class="keyword">true</span> :</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  (<a class="code" href="namespaceCVC3.html#a6475c7ef78c59970a4525d5b3ff0ce86">isReal</a>(e.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>()) ? <span class="keyword">false</span> : !(<a class="code" href="classCVC3_1_1TheoryArithOld.html#a616b3e984904813383d6bc716496ef06" title="Check the term t for integrality.">isIntegerThm</a>(e).<a class="code" href="classCVC3_1_1Theorem.html#afc6fdb0507eb3669e28d9be5ed0bd333">isNull</a>())); }</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a7aaeb2f1987ed2be618088b8149dd329">lessThanVar</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& isolatedVar, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& var2);</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment"></span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment"> //! Check if the term expression is "stale"</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ac623d777315532c14558cff5b16cd085" title="Check if the term expression is "stale".">isStale</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="comment"></span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment"> //! Check if the inequality is "stale" or subsumed</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ac623d777315532c14558cff5b16cd085" title="Check if the term expression is "stale".">isStale</a>(<span class="keyword">const</span> Ineq& ineq);</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> </div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a03cf8b3d693cd9bc3237f9e1e1cacaf1">projectInequalities</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& theInequality,<span class="keywordtype">bool</span> isolatedVarOnRHS);</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a515b32506fecca7cd6425d62b9ef5077">assignVariables</a>(std::vector<Expr>&v);</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ab26f578642a85785f9323fcabef94797">findRationalBound</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& varSide, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ratSide,</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& var,</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> &r);</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a8dfcde6ee0edf0f14959b1b582575261">findBounds</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& lub, <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& glb);</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a6998209aa1c4e1ed10a2be7b7303d89c">normalizeProjectIneqs</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& ineqThm1,</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& ineqThm2);</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="comment"></span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="comment"> //! Take a system of equations and turn it into a solved form</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="comment"></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a02f7b174fc1989343a087bb495cb7e75" title="Take a system of equations and turn it into a solved form.">solvedForm</a>(<span class="keyword">const</span> std::vector<Theorem>& solvedEqs);</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="comment"></span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="comment"> /*! @brief Substitute all vars in term 't' according to the</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="comment"> * substitution 'subst' and canonize the result.</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a315acb4c55cf413c47c013853a534112" title="Substitute all vars in term 't' according to the substitution 'subst' and canonize the result...">substAndCanonize</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t, <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<Theorem></a>& subst);</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="comment"></span></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="comment"> /*! @brief Substitute all vars in the RHS of the equation 'eq' of</span></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="comment"> * the form (x = t) according to the substitution 'subst', and</span></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="comment"> * canonize the result.</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a315acb4c55cf413c47c013853a534112" title="Substitute all vars in term 't' according to the substitution 'subst' and canonize the result...">substAndCanonize</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& eq, <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<Theorem></a>& subst);</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="comment"></span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> <span class="comment"> //! Traverse 'e' and push all the i-leaves into 'vars' vector</span></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aa3aac05d983610669f500fb761615fa0" title="Traverse 'e' and push all the i-leaves into 'vars' vector.">collectVars</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, std::vector<Expr>& vars,</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  std::set<Expr>& cache);</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="comment"></span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> <span class="comment"> /*! @brief Check if alpha <= ax & bx <= beta is a finite interval</span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> <span class="comment"> * for integer var 'x', and assert the corresponding constraint</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#abc79fe4a559ac4d6e9b75a2cab81d2b0" title="Check if alpha <= ax & bx <= beta is a finite interval for integer var 'x', and assert the correspondin...">processFiniteInterval</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& alphaLEax,</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& bxLEbeta);</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="comment"></span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> <span class="comment"> //! For an integer var 'x', find and process all constraints A <= ax <= A+c</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a9dc4aaaa3c9bf4cc53ed6e699b5cb67d" title="For an integer var 'x', find and process all constraints A <= ax <= A+c.">processFiniteIntervals</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x);</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="comment"></span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="comment"> //! Recursive setup for isolated inequalities (and other new expressions)</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ac240d8f8712b716744824921cf46deb0" title="Recursive setup for isolated inequalities (and other new expressions)">setupRec</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> </div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <a class="code" href="classCVC3_1_1TheoryArithOld.html#a421bf72419f51b1a7e95363da00f4177">TheoryArithOld</a>(<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);</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <a class="code" href="classCVC3_1_1TheoryArithOld.html#a72870e1afaa3d74f5de058116211b4a9">~TheoryArithOld</a>();</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> </div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="comment">// Trusted method that creates the proof rules class (used in constructor).</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="comment">// Implemented in arith_theorem_producer.cpp</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="classCVC3_1_1ArithProofRules.html">ArithProofRules</a>* <a class="code" href="classCVC3_1_1TheoryArithOld.html#a80f0e73dede7d5072cf7941a39a8deb4">createProofRulesOld</a>();</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> </div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="comment">// Theory interface</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1503d539a5f25dfdb5fcfe486405b658" title="Notify theory of a new shared term.">addSharedTerm</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a998f71fde188c547c464a912058dd64d" title="Assert a new fact to the decision procedure.">assertFact</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e);</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aa4dc2c586e3bf401a1940a2057508d9f" title="Process disequalities from the arrangement for model generation.">refineCounterExample</a>();</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ab0be6755fcb152cd582d064663e2d53f" title="Assign concrete values to basic-type variables in v.">computeModelBasic</a>(<span class="keyword">const</span> std::vector<Expr>& v);</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ab89a3988c04c44852823fa598358ab67" title="Compute the value of a compound variable from the more primitive ones.">computeModel</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, std::vector<Expr>& vars);</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a966afeabb8016841de17f5c51fe165a0" title="Check for satisfiability in the theory.">checkSat</a>(<span class="keywordtype">bool</span> fullEffort);</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a17c6d2694c44f77da17d5b32620b0761" title="Theory-specific rewrite rules.">rewrite</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#af876aaea3321dd03faebd5f4b3f06ddd" title="Set up the term e for call-backs when e or its children change.">setup</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a314a1422f7fb05eb90d94cd88625fd0c" title="Notify a theory of a new equality.">update</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& d);</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a9488a6be1041e63a9519482ac7e854c8" title="An optional solver.">solve</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e);</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a331a6d4320eee82cbb093fd587c96bb8" title="A debug check used by the primary solver.">checkAssertEqInvariant</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e);</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ad3e9ede8154ffafbbfdefef3c79d5f78" title="Check that e is a valid Type expr.">checkType</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <a class="code" href="namespaceCVC3.html#af969e724f8b7016909f5804e8cea3e54" title="Enum for cardinality of types.">Cardinality</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ae22b1b370ee8be1c54ef4a1c3f527d5f" title="Compute information related to finiteness of types.">finiteTypeInfo</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, <a class="code" href="classCVC3_1_1Unsigned.html">Unsigned</a>& n,</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordtype">bool</span> enumerate, <span class="keywordtype">bool</span> computeSize);</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ae15e9cc1e826299a857a232c341402c1" title="Compute and store the type of e.">computeType</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#adaecdd481476e8db3e400a1bcecf25f3" title="Compute the base type of the top-level operator of an arbitrary type.">computeBaseType</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a>& t);</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a30991bcd4bbcf65cd1c6215725af9899" title="Add variables from 'e' to 'v' for constructing a concrete model.">computeModelTerm</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, std::vector<Expr>& v);</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a5c1f93e8fcd10c7943895532cf0aa6f6" title="Theory specific computation of the subtyping predicate for type t applied to the expression e...">computeTypePred</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a>& t, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a6f507fbe5ded9976e290274059611808" title="Compute and cache the TCC of e.">computeTCC</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <a class="code" href="classCVC3_1_1ExprStream.html" title="Pretty-printing output stream for Expr. READ THE DOCS BEFORE USING!">ExprStream</a>& <a class="code" href="classCVC3_1_1TheoryArithOld.html#a887b53a4c32e7daab34048bdfe2a31c4" title="Theory-specific pretty-printing.">print</a>(<a class="code" href="classCVC3_1_1ExprStream.html" title="Pretty-printing output stream for Expr. READ THE DOCS BEFORE USING!">ExprStream</a>& os, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ae4d0208af0078ee314c94f199f8b50db" title="Theory-specific parsing implemented by the DP.">parseExprOp</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> </div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> <span class="comment"></span></div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="comment"> /** Map from variables to the maximal (by absolute value) of one of it's coefficients */</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a9600791c28f5e0d0cfd79c8eb025f5e3"> 350</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<Rational></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a9600791c28f5e0d0cfd79c8eb025f5e3">maxCoefficientLeft</a>;</div>
<div class="line"><a name="l00351"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a667bd1e22b3275a0c8544e29bd8fe613"> 351</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<Rational></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a667bd1e22b3275a0c8544e29bd8fe613">maxCoefficientRight</a>;</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> <span class="comment"></span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> <span class="comment"> /** Map from variables to the fixed value of one of it's coefficients */</span></div>
<div class="line"><a name="l00354"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#afc337545f540e2e3301cfaa0ff240c29"> 354</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<Rational></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#afc337545f540e2e3301cfaa0ff240c29">fixedMaxCoefficient</a>;</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> <span class="comment"></span></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span> <span class="comment"> * Returns the current maximal coefficient of the variable.</span></div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> <span class="comment"> * @param var the variable.</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a44ca4928fb45298b5d5586c8b509fba3">currentMaxCoefficient</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> var);</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> <span class="comment"></span></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> <span class="comment"> * Fixes the current max coefficient to be used in the ordering. If the maximal coefficient</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> <span class="comment"> * changes in the future, it will not be used in the ordering.</span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span> <span class="comment"> * @param variable the variable</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="comment"> * @param max the value to set it to</span></div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a7bb41aa46d0caeecb89a534fc9c359af">fixCurrentMaxCoefficient</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> variable, <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="namespaceCVC3.html#a308233b4ca114e33cfa278d45f8d09ea">max</a>);</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="comment"></span></div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> <span class="comment"> * Among given input variables, select the smallest ones with respect to the coefficients.</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a86f96d920118d4b8c7b6bf78bb6ee740">selectSmallestByCoefficient</a>(<span class="keyword">const</span> std::vector<Expr>& input, std::vector<Expr>& output);</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> <span class="comment"></span></div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="comment"> * Given an inequality theorem check if it is on integers and get rid of the non-integer</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="comment"> * constants.</span></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aea59b6a8576bd484d6bcede8363e4076">rafineInequalityToInteger</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm);</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <span class="comment"></span></div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> <span class="comment"> * Given an equality theorem check if it is on integers with a non-integer constant. If</span></div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> <span class="comment"> * yes, return a theorem 0 = 1</span></div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1b75e191eff379114ec4ad4e73c73610">checkIntegerEquality</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm);</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> <span class="comment"></span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> <span class="comment"> /** Keep the expressions that are already in the buffer */</span></div>
<div class="line"><a name="l00390"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#ad1514cc33619de965117a48c4e3ea342"> 390</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Theorem></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ad1514cc33619de965117a48c4e3ea342">bufferedInequalities</a>;</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> <span class="comment"></span></div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> <span class="comment"> /** Strict lower bounds on terms, so that we don't add inequalities to the buffer */</span></div>
<div class="line"><a name="l00393"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a14047821f94566b7a46950d1f6529332"> 393</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Rational></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a14047821f94566b7a46950d1f6529332">termLowerBound</a>;</div>
<div class="line"><a name="l00394"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#ab6d69b6422585056ed9ce55777d04590"> 394</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Theorem></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ab6d69b6422585056ed9ce55777d04590">termLowerBoundThm</a>;<span class="comment"></span></div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> <span class="comment"> /** Strict upper bounds on terms, so that we don't add inequalities to the buffer */</span></div>
<div class="line"><a name="l00396"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a45ed4c2833167e036dbf682c8bd06e72"> 396</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Rational></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a45ed4c2833167e036dbf682c8bd06e72">termUpperBound</a>;</div>
<div class="line"><a name="l00397"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a21dd22e840f352a67dc6be3472a2bb5a"> 397</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Theorem></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a21dd22e840f352a67dc6be3472a2bb5a">termUpperBoundThm</a>;</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> <span class="comment"></span></div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> <span class="comment"> * Which inequalities have already been projected (on which monomial).</span></div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> <span class="comment"> * - if we get an update of an inequality that's not been projected, we don't care</span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="comment"> * it will get projected (it's find)</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="comment"> * - when projecting, project the finds, not the originals</span></div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="comment"> * - when done projecting add here, both original and the find</span></div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00406"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a079cb45bf44fab2325badc15ec92c4e4"> 406</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Expr></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a079cb45bf44fab2325badc15ec92c4e4">alreadyProjected</a>;</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> <span class="comment"></span></div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> <span class="comment"> * Sometimes we know an inequality is in the buffer (as a find of something) and</span></div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> <span class="comment"> * we don't want it in the buffer, but we do want to pre-process it, so we put it</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="comment"> * here.</span></div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00413"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a939e94398d23870f3a43fc0d7067b581"> 413</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a939e94398d23870f3a43fc0d7067b581">dontBuffer</a>;</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span> <span class="comment"></span></div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span> <span class="comment"> * Are we doing only difference logic?</span></div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00418"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#affd5f1260775159e8b6b01783f3cfb9b"> 418</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#affd5f1260775159e8b6b01783f3cfb9b">diffLogicOnly</a>;</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> <span class="comment"></span></div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="comment"> * Takes an inequality theorem and substitutes the rhs for it's find. It also get's normalized.</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a83f995b3176a7faffae2a5fcd5c2386f">inequalityToFind</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& inequalityThm, <span class="keywordtype">bool</span> normalizeRHS);</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span> </div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <span class="comment">// x -y <= c</span></div>
<div class="line"><a name="l00426"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1GraphEdge.html"> 426</a></span>  <span class="keyword">struct </span><a class="code" href="structCVC3_1_1TheoryArithOld_1_1GraphEdge.html">GraphEdge</a> {</div>
<div class="line"><a name="l00427"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1GraphEdge.html#a29c75d397eed6fce817a5f0ade28bc2f"> 427</a></span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="structCVC3_1_1TheoryArithOld_1_1GraphEdge.html#a29c75d397eed6fce817a5f0ade28bc2f">x</a>;</div>
<div class="line"><a name="l00428"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1GraphEdge.html#aa65c3d91d67305d116c590cbdbf494e5"> 428</a></span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="structCVC3_1_1TheoryArithOld_1_1GraphEdge.html#aa65c3d91d67305d116c590cbdbf494e5">y</a>;</div>
<div class="line"><a name="l00429"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1GraphEdge.html#a5086804cdf1608a14617d314a254bfc0"> 429</a></span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="structCVC3_1_1TheoryArithOld_1_1GraphEdge.html#a5086804cdf1608a14617d314a254bfc0">c</a>;</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  };</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> <span class="comment"></span></div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="comment"> * Take inequality of the form 0 op t and extract the c1, t1, c2 and t2, such that</span></div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> <span class="comment"> * c1 <= t1 and t2 <= c2, where c1 and c2 are constants, and t1 and t2 are either</span></div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span> <span class="comment"> * sums of monomials or a monomial.</span></div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span> <span class="comment"> * @return the number of variables in terms t1 and t2</span></div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <span class="keywordtype">int</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a3244505fc75c1ef822b445c266da5bb5">extractTermsFromInequality</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& inequality,</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& c1, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t1,</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& c2, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t2);</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span> </div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ad4d5973db0c0b0d26e358450b0c0a4a1" title="Theory-specific registration of atoms.">registerAtom</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span> </div>
<div class="line"><a name="l00445"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a46d5c29d89249608a80159a17ef5c794"> 445</a></span>  <span class="keyword">typedef</span> <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap< std::set< std::pair<Rational, Expr></a> > > <a class="code" href="classCVC3_1_1TheoryArithOld.html#a46d5c29d89249608a80159a17ef5c794">AtomsMap</a>;</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span> <span class="comment"></span></div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span> <span class="comment"> /** Map from terms to their lower bound (and the original formula expression) */</span></div>
<div class="line"><a name="l00448"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#af353ec3abe3d512a90dc8b83a28ccfb5"> 448</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">AtomsMap</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#af353ec3abe3d512a90dc8b83a28ccfb5">formulaAtomLowerBound</a>;</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> <span class="comment"></span></div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span> <span class="comment"> /** Map from terms to their upper bound (and the original formula expression) */</span></div>
<div class="line"><a name="l00451"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#af6089a946fd9248a222bd3a83d2e4478"> 451</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">AtomsMap</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#af6089a946fd9248a222bd3a83d2e4478">formulaAtomUpperBound</a>;</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span> <span class="comment"></span></div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span> <span class="comment"> /** Map of all the atoms in the formula */</span></div>
<div class="line"><a name="l00454"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a1c52c54bc6c46167e0526723128c0e72"> 454</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1c52c54bc6c46167e0526723128c0e72">formulaAtoms</a>;</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span> </div>
<div class="line"><a name="l00456"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html"> 456</a></span>  <span class="keyword">class </span><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html">DifferenceLogicGraph</a> {</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> </div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> <span class="comment"></span></div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span> <span class="comment"> * EpsRational class ecapsulates the rationals with a symbolic small \f$\epsilon\f$ added. Each rational</span></div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span> <span class="comment"> * number is presented as a pair \f$(q, k) = q + k\epsilon\f$, where \f$\epsilon\f$ is treated symbolically.</span></div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> <span class="comment"> * The operations on the new rationals are defined as</span></div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span> <span class="comment"> * <ul></span></div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> <span class="comment"> * <li>\f$(q_1, k_1) + (q_2, k_2) \equiv (q_1 + q_2, k_1 + k_2)\f$</span></div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> <span class="comment"> * <li>\f$a \times (q, k) \equiv (a \times q, a \times k)\f$</span></div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> <span class="comment"> * <li>\f$(q_1, k_1) \leq (q_2, k_2) \equiv (q_1 < q_2) \vee (q_1 = q_2 \wedge k_1 \leq k_2)\f$</span></div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span> <span class="comment"> * </ul></span></div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span> <span class="comment"> * Note that the operations on the infinite values are not defined, as they are never used currently. Infinities can</span></div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span> <span class="comment"> * only be asigned or compared.</span></div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00473"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html"> 473</a></span>  <span class="keyword">class </span><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> {</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span> </div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span> <span class="comment"></span></div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span> <span class="comment"> /** Type of rationals, normal and the two infinities */</span></div>
<div class="line"><a name="l00478"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74"> 478</a></span>  <span class="keyword">typedef</span> <span class="keyword">enum</span> { <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a5635f96de4ed27208b064451e41de217">PLUS_INFINITY</a>, <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a4eacb58629f24f0d9fff053b4e59b157">MINUS_INFINITY</a> } <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74">RationalType</a>;</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span> <span class="comment"></span></div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span> <span class="comment"> /** The type of this rational */</span></div>
<div class="line"><a name="l00481"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7"> 481</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74">RationalType</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>;</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span> <span class="comment"></span></div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span> <span class="comment"> /** The rational part */</span></div>
<div class="line"><a name="l00484"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02"> 484</a></span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>;</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span> <span class="comment"></span></div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span> <span class="comment"> /** The epsilon multiplier */</span></div>
<div class="line"><a name="l00487"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377"> 487</a></span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>;</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span> <span class="comment"></span></div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span> <span class="comment"> * Private constructor to construt infinities.</span></div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00492"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#abdaddd8c6b8cbd64f45bcb224bb9121f"> 492</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#abdaddd8c6b8cbd64f45bcb224bb9121f">EpsRational</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74">RationalType</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>) : type(type) {}</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> </div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span> <span class="comment"></span></div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span> <span class="comment"> * Returns if the numbe is finite.</span></div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00499"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2ea79c3dbd9dea07a508a86fbc9765eb"> 499</a></span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2ea79c3dbd9dea07a508a86fbc9765eb">isFinite</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>; }</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> <span class="comment"></span></div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span> <span class="comment"> * Returns if the number is a plain rational.</span></div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span> <span class="comment"> * @return true if rational, false otherwise</span></div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00506"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a71939f44b6d1eb7d222e156247d03960"> 506</a></span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a71939f44b6d1eb7d222e156247d03960">isRational</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> == 0; }</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span> <span class="comment"></span></div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span> <span class="comment"> * Returns if the number is a plain integer.</span></div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span> <span class="comment"> * @return true if rational, false otherwise</span></div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00513"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aec7b157edba8fe5e836612a6ad8e172c"> 513</a></span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aec7b157edba8fe5e836612a6ad8e172c">isInteger</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> == 0 && <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>.<a class="code" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">isInteger</a>(); }</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span> <span class="comment"></span></div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span> <span class="comment"> * Returns the floor of the number \f$x = q + k \epsilon\f$ using the following fomula</span></div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span> <span class="comment"> * \f[</span></div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span> <span class="comment"> * \lfloor \beta(x) \rfloor =</span></div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span> <span class="comment"> * \begin{cases}</span></div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span> <span class="comment"> * \lfloor q \rfloor & \text{ if } q \notin Z\\</span></div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span> <span class="comment"> * q & \text{ if } q \in Z \text{ and } k \geq 0\\</span></div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span> <span class="comment"> * q - 1 & \text{ if } q \in Z \text{ and } k < 0</span></div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span> <span class="comment"> * \end{cases}</span></div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span> <span class="comment"> * \f]</span></div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00526"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a55f41fc5860343b40b281cd09eac04fd"> 526</a></span>  <span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a55f41fc5860343b40b281cd09eac04fd">getFloor</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <span class="keywordflow">if</span> (<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>.<a class="code" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">isInteger</a>()) {</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  <span class="keywordflow">if</span> (<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> >= 0) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>;</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> - 1;</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  } <span class="keywordflow">else</span></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="comment">// If not an integer, just floor it</span></div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  <span class="keywordflow">return</span> floor(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>);</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  }</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span> </div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span> <span class="comment"></span></div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span> <span class="comment"> * Returns the rational part of the number</span></div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span> <span class="comment"> * @return the rational</span></div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00541"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2671721c731f2cb89597309d8f29c126"> 541</a></span>  <span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2671721c731f2cb89597309d8f29c126">getRational</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>; }</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> <span class="comment"></span></div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span> <span class="comment"> * Returns the epsilon part of the number</span></div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span> <span class="comment"> * @return the epsilon</span></div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00548"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab55123f8c208dfa60371d03214b49f5b"> 548</a></span>  <span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab55123f8c208dfa60371d03214b49f5b">getEpsilon</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>; }</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span> <span class="comment"></span></div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span> <span class="comment"> /** The infinity constant */</span></div>
<div class="line"><a name="l00551"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a3d192df722ff4601388f73a86d6e5688"> 551</a></span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a3d192df722ff4601388f73a86d6e5688">PlusInfinity</a>;<span class="comment"></span></div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span> <span class="comment"> /** The negative infinity constant */</span></div>
<div class="line"><a name="l00553"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ac14d641b6833b74bbfe14590b596b713"> 553</a></span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ac14d641b6833b74bbfe14590b596b713">MinusInfinity</a>;<span class="comment"></span></div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span> <span class="comment"> /** The zero constant */</span></div>
<div class="line"><a name="l00555"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ae1ce8777ef94c7efa4d2b5962ccb2743"> 555</a></span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ae1ce8777ef94c7efa4d2b5962ccb2743">Zero</a>;</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span> </div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span> <span class="comment"></span></div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span> <span class="comment"> /** The blank constructor */</span></div>
<div class="line"><a name="l00559"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab8f5740e7c716878bdaa24431fbda7f0"> 559</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab8f5740e7c716878bdaa24431fbda7f0">EpsRational</a>() : <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>), <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>(0), <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>(0) {}</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> <span class="comment"></span></div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span> <span class="comment"> /** Copy constructor */</span></div>
<div class="line"><a name="l00562"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ad0858791e56bb14856166b4411e14e74"> 562</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ad0858791e56bb14856166b4411e14e74">EpsRational</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>& r) : <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>(r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>), <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>(r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>), <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>(r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>) {}</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span> <span class="comment"></span></div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span> <span class="comment"> * Constructor from a rational, constructs a new pair (q, 0).</span></div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span> <span class="comment"> * @param q the rational</span></div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00569"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a9921b126c93470b0b18d1ffcd0acb33b"> 569</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a9921b126c93470b0b18d1ffcd0acb33b">EpsRational</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>) : <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>), q(q), <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>(0) {}</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span> <span class="comment"></span></div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span> <span class="comment"> * Constructor from a rational and a given epsilon multiplier, constructs a</span></div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span> <span class="comment"> * new pair (q, k).</span></div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span> <span class="comment"> * @param q the rational</span></div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span> <span class="comment"> * @param k the epsilon multiplier</span></div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00578"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa83e886379c54a2863424e12a43af2d3"> 578</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa83e886379c54a2863424e12a43af2d3">EpsRational</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>) : <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>), q(q), k(k) {}</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span> <span class="comment"></span></div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span> <span class="comment"> * Addition operator for two EpsRational numbers.</span></div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span> <span class="comment"> * @param r the number to be added</span></div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span> <span class="comment"> * @return the sum as defined in the class</span></div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00586"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#af53abe1350e18dbcecc8e3c229e446af"> 586</a></span>  <span class="keyword">inline</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#af53abe1350e18dbcecc8e3c229e446af">operator + </a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>& r)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, <span class="stringliteral">"EpsRational::operator +, adding to infinite number"</span>);</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, <span class="stringliteral">"EpsRational::operator +, adding an infinite number"</span>);</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab8f5740e7c716878bdaa24431fbda7f0">EpsRational</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> + r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>, <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> + r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>);</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  }</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span> <span class="comment"></span></div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span> <span class="comment"> * Addition operator for two EpsRational numbers.</span></div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> <span class="comment"> * @param r the number to be added</span></div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span> <span class="comment"> * @return the sum as defined in the class</span></div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00598"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a92b8fab3da6185c869f2855ae7cbbe22"> 598</a></span>  <span class="keyword">inline</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>& <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a92b8fab3da6185c869f2855ae7cbbe22">operator += </a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>& r) {</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, <span class="stringliteral">"EpsRational::operator +, adding to infinite number"</span>);</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> = <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> + r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>;</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> = <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> + r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>;</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  }</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span> <span class="comment"></span></div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span> <span class="comment"> * Subtraction operator for two EpsRational numbers.</span></div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span> <span class="comment"> * @param r the number to be added</span></div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span> <span class="comment"> * @return the sum as defined in the class</span></div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00611"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#abee1a63a51553904910401f29e1f0191"> 611</a></span>  <span class="keyword">inline</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aeb1573d79d6de3ed029d1f0c14e029d6">operator - </a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>& r)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, <span class="stringliteral">"EpsRational::operator -, subtracting from infinite number"</span>);</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, <span class="stringliteral">"EpsRational::operator -, subtracting an infinite number"</span>);</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab8f5740e7c716878bdaa24431fbda7f0">EpsRational</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> - r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>, <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> - r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>);</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  }</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span> <span class="comment"></span></div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span> <span class="comment"> * Unary minus operator</span></div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00620"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aeb1573d79d6de3ed029d1f0c14e029d6"> 620</a></span>  <span class="keyword">inline</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aeb1573d79d6de3ed029d1f0c14e029d6">operator - </a>() {</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, <span class="stringliteral">"EpsRational::operator -, subtracting from infinite number"</span>);</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> = -<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>;</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> = -<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>;</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  }</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span> </div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span> <span class="comment"></span></div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span> <span class="comment"> * Multiplication operator EpsRational number and a rational number.</span></div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span> <span class="comment"> * @param a the number to be multiplied</span></div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span> <span class="comment"> * @return the product as defined in the class</span></div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00634"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab15673fa29db64d9f1c65183d4aacf25"> 634</a></span>  <span class="keyword">inline</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab15673fa29db64d9f1c65183d4aacf25">operator * </a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& a)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, <span class="stringliteral">"EpsRational::operator *, multiplying an infinite number"</span>);</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab8f5740e7c716878bdaa24431fbda7f0">EpsRational</a>(a * <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>, a * <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>);</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  }</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span> <span class="comment"></span></div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span> <span class="comment"> * Division operator EpsRational number and a rational number.</span></div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span> <span class="comment"> * @param a the number to be multiplied</span></div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span> <span class="comment"> * @return the product as defined in the class</span></div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00645"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#abe61a27081bbd13e06137ec89a5ef6a0"> 645</a></span>  <span class="keyword">inline</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#abe61a27081bbd13e06137ec89a5ef6a0">operator / </a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& a)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, <span class="stringliteral">"EpsRational::operator *, dividing an infinite number"</span>);</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab8f5740e7c716878bdaa24431fbda7f0">EpsRational</a>(<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> / a, <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> / a);</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  }</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span> <span class="comment"></span></div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span> <span class="comment"> * Equality comparison operator.</span></div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00653"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa98afb0b7a7b93880ddcba67d27d6d25"> 653</a></span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa98afb0b7a7b93880ddcba67d27d6d25">operator == </a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>& r)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> (<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> == r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> && <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> == r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>); }</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span> <span class="comment"></span></div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span> <span class="comment"> * Less than or equal comparison operator.</span></div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00658"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab640ed0967cd2f77be917eaeb956397c"> 658</a></span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab640ed0967cd2f77be917eaeb956397c">operator <= </a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>& r)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="keywordflow">switch</span> (r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>) {</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  <span class="keywordflow">case</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>:</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  <span class="keywordflow">if</span> (<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>)</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <span class="comment">// Normal comparison</span></div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <span class="keywordflow">return</span> (<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> < r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> || (<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> == r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a> && <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a> <= r.<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>));</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  <span class="comment">// Finite number is bigger only of the negative infinity</span></div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a4eacb58629f24f0d9fff053b4e59b157">MINUS_INFINITY</a>;</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  <span class="keywordflow">case</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a5635f96de4ed27208b064451e41de217">PLUS_INFINITY</a>:</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  <span class="comment">// Everything is less then or equal than +inf</span></div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  <span class="keywordflow">case</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a4eacb58629f24f0d9fff053b4e59b157">MINUS_INFINITY</a>:</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  <span class="comment">// Only -inf is less then or equal than -inf</span></div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  <span class="keywordflow">return</span> (<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a> == <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a4eacb58629f24f0d9fff053b4e59b157">MINUS_INFINITY</a>);</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  <span class="comment">// Ohohohohohoooooo, whats up</span></div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(<span class="keyword">false</span>, <span class="stringliteral">"EpsRational::operator <=, what kind of number is this????"</span>);</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  }</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  }</div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span> <span class="comment"></span></div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span> <span class="comment"> * Less than comparison operator.</span></div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00683"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a46d7f98e8e46cc830f0c203dc2a8203b"> 683</a></span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a46d7f98e8e46cc830f0c203dc2a8203b">operator < </a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>& r)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> !(r <= *<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span> <span class="comment"></span></div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span> <span class="comment"> * Greater than comparison operator.</span></div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00688"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2b5bb6577fc2666a1d86ae0b952f86b0"> 688</a></span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2b5bb6577fc2666a1d86ae0b952f86b0">operator > </a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>& r)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> !(*<span class="keyword">this</span> <= r); }</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span> <span class="comment"></span></div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span> <span class="comment"> * Returns the string representation of the number.</span></div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span> <span class="comment"> * @return the string representation of the number</span></div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00695"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a1110ac3ff3fb7eaf983fee4eaf55ca1a"> 695</a></span>  std::string <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a1110ac3ff3fb7eaf983fee4eaf55ca1a">toString</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <span class="keywordflow">switch</span> (<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>) {</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  <span class="keywordflow">case</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>:</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  <span class="keywordflow">return</span> <span class="stringliteral">"("</span> + <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>.<a class="code" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">toString</a>() + <span class="stringliteral">", "</span> + <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>.<a class="code" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">toString</a>() + <span class="stringliteral">")"</span>;</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  <span class="keywordflow">case</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a5635f96de4ed27208b064451e41de217">PLUS_INFINITY</a>:</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  <span class="keywordflow">return</span> <span class="stringliteral">"+inf"</span>;</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  <span class="keywordflow">case</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a4eacb58629f24f0d9fff053b4e59b157">MINUS_INFINITY</a>:</div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  <span class="keywordflow">return</span> <span class="stringliteral">"-inf"</span>;</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(<span class="keyword">false</span>, <span class="stringliteral">"EpsRational::toString, what kind of number is this????"</span>);</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  }</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <span class="keywordflow">return</span> <span class="stringliteral">"hm, what am I?"</span>;</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  }</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  };</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span> </div>
<div class="line"><a name="l00710"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html"> 710</a></span>  <span class="keyword">struct </span><a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html">EdgeInfo</a> {<span class="comment"></span></div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span> <span class="comment"> /** The length of this edge */</span></div>
<div class="line"><a name="l00712"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#aacfd7ef36363077df6b0d5faac531e0b"> 712</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#aacfd7ef36363077df6b0d5faac531e0b">length</a>;<span class="comment"></span></div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span> <span class="comment"> /** The number of edges in this path */</span></div>
<div class="line"><a name="l00714"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a500b599007e1e83551547889ded5749d"> 714</a></span>  <span class="keywordtype">int</span> <a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a500b599007e1e83551547889ded5749d">path_length_in_edges</a>;<span class="comment"></span></div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span> <span class="comment"> /** If this is a summary edge, a vertex in the path */</span></div>
<div class="line"><a name="l00716"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a0909dd104ddc044ad9b30bcf0ca78b60"> 716</a></span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a0909dd104ddc044ad9b30bcf0ca78b60">in_path_vertex</a>;<span class="comment"></span></div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span> <span class="comment"> /** If this is an original edge, the theorem that explains it */</span></div>
<div class="line"><a name="l00718"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a419e01286cfbb41d0b53d97325221e84"> 718</a></span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a419e01286cfbb41d0b53d97325221e84">explanation</a>;</div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span> <span class="comment"></span></div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span> <span class="comment"> /** Returnes if the edge is well define (i.e. not +infinity) */</span></div>
<div class="line"><a name="l00721"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a132b032333ba966af300e49fc0824530"> 721</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a132b032333ba966af300e49fc0824530">isDefined</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a500b599007e1e83551547889ded5749d">path_length_in_edges</a> != 0; }</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span> </div>
<div class="line"><a name="l00723"></a><span class="lineno"><a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#ad524363377728fb88304c6c7fa0f2223"> 723</a></span>  <a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#ad524363377728fb88304c6c7fa0f2223">EdgeInfo</a>(): <a class="code" href="structCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EdgeInfo.html#a500b599007e1e83551547889ded5749d">path_length_in_edges</a>(0) {}</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  };</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span> <span class="comment"></span></div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span> <span class="comment"> * Given two vertices in the graph and an path edge, reconstruct all the theorems and put them</span></div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span> <span class="comment"> * in the output vector</span></div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a58d23191bab044554e42ba0dd7f110de">getEdgeTheorems</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& y, <span class="keyword">const</span> EdgeInfo& edgeInfo, std::vector<Theorem>& outputTheorems);</div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span> <span class="comment"></span></div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span> <span class="comment"> * Returns the current weight of the edge.</span></div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  EpsRational <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a70441880fa7ecde30265c3ec83f7e11d">getEdgeWeight</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& y);</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span> <span class="comment"></span></div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span> <span class="comment"> * Returns whether a vertex has incoming edges.</span></div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a33e10dce7990aaeedd588663c308c416">hasIncoming</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x);</div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span> <span class="comment"></span></div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span> <span class="comment"> * Returns whether a vertex has outgoing edges.</span></div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a63b4374516dfa8f7c87de61b460dcf12">hasOutgoing</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x);</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span> </div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span> <span class="comment"></span></div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span> <span class="comment"> /** Threshold on path length to process (ignore bigger than and set incomplete) */</span></div>
<div class="line"><a name="l00750"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae4ed3f0c509c959d36e6637371bf6e05"> 750</a></span>  <span class="keyword">const</span> <span class="keywordtype">int</span>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae4ed3f0c509c959d36e6637371bf6e05">d_pathLenghtThres</a>;</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span> <span class="comment"></span></div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span> <span class="comment"> /** The arithmetic that's using this graph */</span></div>
<div class="line"><a name="l00753"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae172261f15e4d9903b4147b6ee1f4523"> 753</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld.html">TheoryArithOld</a>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae172261f15e4d9903b4147b6ee1f4523">arith</a>;</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span> <span class="comment"></span></div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span> <span class="comment"> /** The core theory */</span></div>
<div class="line"><a name="l00756"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a6bf38051f1bc2b0703e6ba8ca3b765ae"> 756</a></span>  <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>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a6bf38051f1bc2b0703e6ba8ca3b765ae">core</a>;</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span> <span class="comment"></span></div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span> <span class="comment"> /** The arithmetic that is using u us */</span></div>
<div class="line"><a name="l00759"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#acbbd4a2fbba125d1069f124e5c271826"> 759</a></span>  <a class="code" href="classCVC3_1_1ArithProofRules.html">ArithProofRules</a>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#acbbd4a2fbba125d1069f124e5c271826">rules</a>;</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span> <span class="comment"></span></div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span> <span class="comment"> /** The unsat theorem if available */</span></div>
<div class="line"><a name="l00762"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a627796132ea73d35fbcf828d68425a3b"> 762</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<Theorem></a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a627796132ea73d35fbcf828d68425a3b">unsat_theorem</a>;</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span> <span class="comment"></span></div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span> <span class="comment"> /** The biggest epsilon from EpsRational we used in paths */</span></div>
<div class="line"><a name="l00765"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae4d498b950e7b37b5b48c936139cfc70"> 765</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<Rational></a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae4d498b950e7b37b5b48c936139cfc70">biggestEpsilon</a>;</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span> <span class="comment"></span></div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span> <span class="comment"> /** The smallest rational difference we used in path relaxation */</span></div>
<div class="line"><a name="l00768"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a2519a13732d48786f8fe83351a7150c8"> 768</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<Rational></a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a2519a13732d48786f8fe83351a7150c8">smallestPathDifference</a>;</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span> <span class="comment"></span></div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span> <span class="comment"> /** The graph itself, maps expressions (x-y) to the edge information */</span></div>
<div class="line"><a name="l00771"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#abed3971d17b5d311101715558f879558"> 771</a></span>  <span class="keyword">typedef</span> <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, EdgeInfo></a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#abed3971d17b5d311101715558f879558">Graph</a>;</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span> <span class="comment"></span></div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span> <span class="comment"> /** Graph of <= paths */</span></div>
<div class="line"><a name="l00774"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a47342aafbf5caa7aca2fbd5e9511cef1"> 774</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">Graph</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a47342aafbf5caa7aca2fbd5e9511cef1">leGraph</a>;</div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span> </div>
<div class="line"><a name="l00776"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a0ceb7ab88e1c7ec4b29ddd7c8214e1c9"> 776</a></span>  <span class="keyword">typedef</span> <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<CDList<Expr></a>*> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a0ceb7ab88e1c7ec4b29ddd7c8214e1c9">EdgesList</a>;</div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span> <span class="comment"></span></div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span> <span class="comment"> /** List of vertices adjacent backwards to a vertex */</span></div>
<div class="line"><a name="l00779"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a6a605397e227cc5b9c287984ead0902b"> 779</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">EdgesList</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a6a605397e227cc5b9c287984ead0902b">incomingEdges</a>;<span class="comment"></span></div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span> <span class="comment"> /** List of vertices adjacent forward to a vertex */</span></div>
<div class="line"><a name="l00781"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ac0fa1b22e8ed0d8d0580599998b36bf2"> 781</a></span>  <a class="code" href="classCVC3_1_1ExprMap.html">EdgesList</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ac0fa1b22e8ed0d8d0580599998b36bf2">outgoingEdges</a>;</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span> <span class="comment"></span></div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span> <span class="comment"> * Returns the edge (path) info for the given kind</span></div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span> <span class="comment"> * @param x the starting vertex</span></div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span> <span class="comment"> * @param y the ending vertex</span></div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span> <span class="comment"> * @return the edge information</span></div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  <a class="code" href="classCVC3_1_1CDOmap.html">Graph::ElementReference</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a16b2a3042303dce733abadbec2a86ee1">getEdge</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& y);</div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span> <span class="comment"></span></div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span> <span class="comment"> * Try to update the shortest path from x to z using y.</span></div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a62c681d767c2100a822db1f86ebabaf2">tryUpdate</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& y, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& z);</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span> </div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span> </div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae9325d9bce63e5a62cce23d4aac2db32">writeGraph</a>(std::ostream& out);</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span> <span class="comment"></span></div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span> <span class="comment"> * Fills the vector with all the variables (vertices) in the graph</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a4266a410f71d5536394188cd74034b18">getVariables</a>(std::vector<Expr>& variables);</div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span> </div>
<div class="line"><a name="l00806"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ac13ef29f1852dd0d157b52bdfc050737"> 806</a></span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ac13ef29f1852dd0d157b52bdfc050737">setRules</a>(<a class="code" href="classCVC3_1_1ArithProofRules.html">ArithProofRules</a>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#acbbd4a2fbba125d1069f124e5c271826">rules</a>) {</div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  this->rules = <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#acbbd4a2fbba125d1069f124e5c271826">rules</a>;</div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  }</div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span> </div>
<div class="line"><a name="l00810"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a5b2e50e6e3c75743ace5bb2fae432449"> 810</a></span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a5b2e50e6e3c75743ace5bb2fae432449">setArith</a>(<a class="code" href="classCVC3_1_1TheoryArithOld.html">TheoryArithOld</a>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae172261f15e4d9903b4147b6ee1f4523">arith</a>) {</div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  this->arith = <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae172261f15e4d9903b4147b6ee1f4523">arith</a>;</div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  }</div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span> <span class="comment"></span></div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span> <span class="comment"> * Class constructor.</span></div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a0014118b800ec0cce12b84a3b8c921d1">DifferenceLogicGraph</a>(<a class="code" href="classCVC3_1_1TheoryArithOld.html">TheoryArithOld</a>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae172261f15e4d9903b4147b6ee1f4523">arith</a>, <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>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a6bf38051f1bc2b0703e6ba8ca3b765ae">core</a>, <a class="code" href="classCVC3_1_1ArithProofRules.html">ArithProofRules</a>* <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#acbbd4a2fbba125d1069f124e5c271826">rules</a>, <a class="code" href="classCVC3_1_1Context.html">Context</a>* context);</div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span> <span class="comment"></span></div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span> <span class="comment"> * Destructor</span></div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a9ff61777e5df7bc75f9879a6a9f75419">~DifferenceLogicGraph</a>();</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span> <span class="comment"></span></div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span> <span class="comment"> * Returns the reference to the unsat theorem if there is a negative</span></div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span> <span class="comment"> * cycle in the graph.</span></div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span> <span class="comment"> * @return the unsat theorem</span></div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span> </div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a216bfac9dcbcc62b7097d51fd91e8ac8">getUnsatTheorem</a>();</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span> <span class="comment"></span></div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span> <span class="comment"> * Returns true if there is a negative cycle in the graph.</span></div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a828bb2ad8fc3c36506f6a8f3ca38579c">isUnsat</a>();</div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span> </div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ae7f9ea562c26f55a0536a5cd85cf07b0">computeModel</a>();</div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span> </div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a22cd1525ea447a3bc839fc737240eb4f">getValuation</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x);</div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span> </div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span> <span class="comment"></span></div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span> <span class="comment"> * Adds an edge corresponding to the constraint x - y <= c.</span></div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span> <span class="comment"> * @param x variable x::Difference</span></div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span> <span class="comment"> * @param y variable y</span></div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span> <span class="comment"> * @param c rational c</span></div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span> <span class="comment"> * @param edge_thm the theorem for this edge</span></div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#acdd072f244d1d30d5b954bf7b0debe04">addEdge</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& y, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& c, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& edge_thm);</div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span> <span class="comment"></span></div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span> <span class="comment"> * Check if there is an edge from x to y</span></div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a2213f2040667750f9878aa0ce3ba3f17">existsEdge</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& y);</div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span> <span class="comment"></span></div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span> <span class="comment"> * Check if x is in a cycle</span></div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a75eceef3b27aa29d23d26ac2a624d095">inCycle</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x);</div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span> <span class="comment"></span></div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span> <span class="comment"> * Given a shared integer term expand it into the gray shadow on the bounds (if bounded from both sides).</span></div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a247245c8102db8596b73c76cf015fc5d">expandSharedTerm</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x);</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span> </div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span> <span class="comment"></span></div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span> <span class="comment"> /** Whether the variable is in a cycle */</span></div>
<div class="line"><a name="l00871"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a478a837c6562772e151cbfef55e607ee"> 871</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a478a837c6562772e151cbfef55e607ee">varInCycle</a>;</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span> </div>
<div class="line"><a name="l00873"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a7b0dd9d1e47d917391c0ed987608bb57"> 873</a></span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#a7b0dd9d1e47d917391c0ed987608bb57">sourceVertex</a>;</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span> <span class="comment"></span></div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span> <span class="comment"> * Produced the unsat theorem from a cycle x --> x of negative length</span></div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span> <span class="comment"> * @param x the variable to use for the conflict</span></div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span> <span class="comment"> * @param kind the kind of edges to consider</span></div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html#ad101bbc763a37fb902e4df4a654351de">analyseConflict</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x, <span class="keywordtype">int</span> kind);</div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  };</div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span> <span class="comment"></span></div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span> <span class="comment"> /** The graph for difference logic */</span></div>
<div class="line"><a name="l00885"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a1dda0fccac36ffbebc06beb58e404619"> 885</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html">DifferenceLogicGraph</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1dda0fccac36ffbebc06beb58e404619">diffLogicGraph</a>;</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span> </div>
<div class="line"><a name="l00887"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a5aef4b094054e928a145c5b9ee5703d1"> 887</a></span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a5aef4b094054e928a145c5b9ee5703d1">zero</a>;</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span> <span class="comment"></span></div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span> <span class="comment"> /** Index for expanding on shared term equalities */</span></div>
<div class="line"><a name="l00890"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#adecf2614be23bfd1347e1992081e7848"> 890</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<unsigned></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#adecf2614be23bfd1347e1992081e7848">shared_index_1</a>;<span class="comment"></span></div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span> <span class="comment"> /** Index for expanding on shared term equalities */</span></div>
<div class="line"><a name="l00892"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a4a63d7abe48efcd5262bdec8d2a48ebf"> 892</a></span>  <a class="code" href="classCVC3_1_1CDO.html">CDO<unsigned></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a4a63d7abe48efcd5262bdec8d2a48ebf">shared_index_2</a>;</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span> </div>
<div class="line"><a name="l00894"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#ab9e74bfc121f8d683449540b3f47648d"> 894</a></span>  std::vector<Theorem> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ab9e74bfc121f8d683449540b3f47648d">multiplicativeSignSplits</a>;</div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span> </div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  <span class="keywordtype">int</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a878f9a4ecf6d87a79f37e9e916750d4c">termDegree</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span> </div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aaa7f3188301a696b421577f2c8059a46">canPickEqMonomial</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>);</div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span> </div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span> </div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  <span class="comment">// Keeps all expressions that are bounded for disequality splitting and shared term comparisons</span></div>
<div class="line"><a name="l00903"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#ae3f7689542dd29298e68dcc16e5976e6"> 903</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, DifferenceLogicGraph::EpsRational></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ae3f7689542dd29298e68dcc16e5976e6">termUpperBounded</a>;</div>
<div class="line"><a name="l00904"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#aa3cbd03caf1f931c74829f2502d75553"> 904</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, DifferenceLogicGraph::EpsRational></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aa3cbd03caf1f931c74829f2502d75553">termLowerBounded</a>;</div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span> </div>
<div class="line"><a name="l00906"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a1dbba6d20d053083679893b4f79998a8"> 906</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1dbba6d20d053083679893b4f79998a8">d_varConstrainedPlus</a>;</div>
<div class="line"><a name="l00907"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#acb4e673f7c27347289317a35a376f82d"> 907</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#acb4e673f7c27347289317a35a376f82d">d_varConstrainedMinus</a>;</div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span> </div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>  <span class="comment">// Keeps all expressions that are constrained</span></div>
<div class="line"><a name="l00910"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#afd5889bc69bdde0f39137619db945c80"> 910</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#afd5889bc69bdde0f39137619db945c80">termConstrainedBelow</a>;</div>
<div class="line"><a name="l00911"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a8c0a52d514303b34e73fc36803331419"> 911</a></span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, bool></a> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a8c0a52d514303b34e73fc36803331419">termConstrainedAbove</a>;</div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span> </div>
<div class="line"><a name="l00913"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811"> 913</a></span>  <span class="keyword">enum</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811">BoundsQueryType</a> {<span class="comment"></span></div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span> <span class="comment"> /** Query the bounds/constrained using cache for leaves */</span></div>
<div class="line"><a name="l00915"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574"> 915</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574">QueryWithCacheLeaves</a>,<span class="comment"></span></div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span> <span class="comment"> /** Query the bounds/constrained using cashe for leaves, but also see if the value is constrained */</span></div>
<div class="line"><a name="l00917"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811a24a2b363efc7f74b482ce52d1957b3bf"> 917</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811a24a2b363efc7f74b482ce52d1957b3bf">QueryWithCacheLeavesAndConstrainedComputation</a>,<span class="comment"></span></div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span> <span class="comment"> /** Query the bounds/constrained by only querying the cache, don't try to figure it out */</span></div>
<div class="line"><a name="l00919"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811a3a2069125b24eeea4fcd590525d935bc"> 919</a></span>  <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811a3a2069125b24eeea4fcd590525d935bc">QueryWithCacheAll</a></div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>  };</div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span> <span class="comment"></span></div>
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span> <span class="comment"> * Check if the term is bounded. If the term is non-linear, just returns false.</span></div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ad2133967c6b85ec7b144f023b7428afd">isBounded</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t, <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811">BoundsQueryType</a> queryType = <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574">QueryWithCacheLeaves</a>);</div>
<div class="line"><a name="l00926"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#aa3b6cea5b43872330fab4c92d55a71d0"> 926</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aa3b6cea5b43872330fab4c92d55a71d0">hasLowerBound</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t, <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811">BoundsQueryType</a> queryType = <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574">QueryWithCacheLeaves</a>) { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1582b7d8a6cfa35a2eb1372408e1d9d1">getLowerBound</a>(t, queryType).<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2ea79c3dbd9dea07a508a86fbc9765eb">isFinite</a>(); }</div>
<div class="line"><a name="l00927"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a7ec3bcab775ad3248c29c09c4a109a11"> 927</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a7ec3bcab775ad3248c29c09c4a109a11">hasUpperBound</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t, <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811">BoundsQueryType</a> queryType = <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574">QueryWithCacheLeaves</a>) { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a92ebe6beaf47d0b9567b4552e9aabf94">getUpperBound</a>(t, queryType).<a class="code" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2ea79c3dbd9dea07a508a86fbc9765eb">isFinite</a>(); }</div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span> </div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a39d64f6ffb9232db82c4fea6ad6407b3">isConstrained</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t, <span class="keywordtype">bool</span> intOnly = <span class="keyword">true</span>, <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811">BoundsQueryType</a> queryType = <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574">QueryWithCacheLeaves</a>);</div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a31e4ddb10498727798fb49d7dae42312">isConstrainedAbove</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t, <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811">BoundsQueryType</a> queryType = <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574">QueryWithCacheLeaves</a>);</div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a9c85d0cd35937c0ae9d343490b470e22">isConstrainedBelow</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t, <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811">BoundsQueryType</a> queryType = <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574">QueryWithCacheLeaves</a>);</div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span> <span class="comment"></span></div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span> <span class="comment"> * Check if the term is bounded from above. If the term is non-linear, just returns false.</span></div>
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  DifferenceLogicGraph::EpsRational <a class="code" href="classCVC3_1_1TheoryArithOld.html#a92ebe6beaf47d0b9567b4552e9aabf94">getUpperBound</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t, <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811">BoundsQueryType</a> queryType = <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574">QueryWithCacheLeaves</a>);</div>
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span> <span class="comment"></span></div>
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span> <span class="comment"> * Check if the term is bouned from below. If the term is non-linear, just return false.</span></div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>  DifferenceLogicGraph::EpsRational <a class="code" href="classCVC3_1_1TheoryArithOld.html#a1582b7d8a6cfa35a2eb1372408e1d9d1">getLowerBound</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t, <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811">BoundsQueryType</a> queryType = <a class="code" href="classCVC3_1_1TheoryArithOld.html#a26c172f0fb2468ba2255c3d5a2c46811acaf2c948bff23c8f1d04da41f12fe574">QueryWithCacheLeaves</a>);</div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span> <span class="comment"></span></div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span> <span class="comment"> * See whether and which terms are bounded.</span></div>
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>  <span class="keywordtype">int</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a0a9d00e2c2f734aec6d76a52cf301bc4">computeTermBounds</a>();</div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span> </div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span> </div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#abc26aaf78f6b9a25b3c5f3923719ddb7">updateConstrained</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t);</div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a820f1ace7a5dd9e962b2453ceb1bcaf1">isUnconstrained</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t);</div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span> </div>
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#af26f1b31629fe94f3678e4d051b17afa">tryPropagate</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& x, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& y, <span class="keyword">const</span> DifferenceLogicGraph::EdgeInfo& x_y_edge, <span class="keywordtype">int</span> kind);</div>
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span> </div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a0f6143643b36835a5383acfa65252f3e">addMultiplicativeSignSplit</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& case_split_thm);</div>
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span> </div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a7cc81a1017de4d7e2c7278dfc01a4e60">addPairToArithOrder</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& smaller, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& bigger);</div>
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span> </div>
<div class="line"><a name="l00959"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArithOld.html#a372a7ff635b9de24607daa04d3a63d02"> 959</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a372a7ff635b9de24607daa04d3a63d02">nonlinearSignSplit</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> *<a class="code" href="classCVC3_1_1TheoryArithOld.html#a7cee71daa7f8f8bbd33d0b6a333f61aa">d_splitSign</a>; }</div>
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span> <span class="comment"></span></div>
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span> <span class="comment"> * Check if equation is nonlinear. An equation is nonlinear if there is at least one nonlinear term in the sum</span></div>
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span> <span class="comment"> * on either side of the equation.</span></div>
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#ab8686f11885fd196e2d0e592f767ba76">isNonlinearEq</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e);</div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span> <span class="comment"></span></div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span> <span class="comment"> * Check if a sum term is nonlinear</span></div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#aadfdf8251af6c3a07baa5e8ee0828146">isNonlinearSumTerm</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& term);</div>
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span> <span class="comment"></span></div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span> <span class="comment"> * Check if the equality is of the form c + power1^n - power2^n = 0;</span></div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#a3eebb5aa899590483a0e9f8223599051">isPowersEquality</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& nonlinearEq, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& power1, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& power2);</div>
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span> <span class="comment"></span></div>
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span> <span class="comment"> * Check if the equality is of the form c - x^n = 0</span></div>
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArithOld.html#af99992fce594e9940305e0121eb0b45c">isPowerEquality</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& nonlinearEq, <a class="code" href="classCVC3_1_1Rational.html">Rational</a>& constant, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& power1);</div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span> </div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span> };</div>
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span> </div>
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span> }</div>
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span> </div>
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span> <span class="preprocessor">#endif</span></div>
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