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<a href="theory__arith_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>&#160;<span class="comment">/*****************************************************************************/</span><span class="comment"></span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">/*!</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * \file theory_arith.h</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> * Author: Clark Barrett</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * Created: Fri Jan 17 18:34:55 2003</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> * &lt;hr&gt;</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<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>&#160;<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>&#160;<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>&#160;<span class="comment"> * LICENSE file provided with this distribution.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> * &lt;hr&gt;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">/*****************************************************************************/</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#ifndef _cvc3__include__theory_arith_h_</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define _cvc3__include__theory_arith_h_</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="theory_8h.html" title="Generic API for Theories plus methods commonly used by theories.">theory.h</a>&quot;</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="cdmap_8h.html">cdmap.h</a>&quot;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span>CVC3 {</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">class </span>ArithProofRules;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
<div class="line"><a name="l00031"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024">   31</a></span>&#160;  <span class="keyword">typedef</span> <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="comment">// New constants</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aeeab40b4cbc1045f41b41f34e1d447f3">   33</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aeeab40b4cbc1045f41b41f34e1d447f3">REAL_CONST</a> = 30, <span class="comment">// wrapper around constants to indicate that they should be real</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a61f74caac7705cef1fa9ccc18ca56c44">   34</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a61f74caac7705cef1fa9ccc18ca56c44">NEGINF</a> = 31,</div>
<div class="line"><a name="l00035"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a03074a79948667c2159fc063cd1f877f">   35</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a03074a79948667c2159fc063cd1f877f">POSINF</a> = 32,</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
<div class="line"><a name="l00037"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ae7eaab02de76a48914face6ef092b749">   37</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ae7eaab02de76a48914face6ef092b749">REAL</a> = 3000,</div>
<div class="line"><a name="l00038"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a79521290f53e9a3d9bf2a8020b719097">   38</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a79521290f53e9a3d9bf2a8020b719097">INT</a>,</div>
<div class="line"><a name="l00039"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a6c3500e78e5abd9ed411013254022e3f">   39</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a6c3500e78e5abd9ed411013254022e3f">SUBRANGE</a>,</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a0b79738a0067780987896f3b91e8b0f1">   41</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a0b79738a0067780987896f3b91e8b0f1">UMINUS</a>,</div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9a12fbdcaa45ef17eaa1802161f9ca98">   42</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9a12fbdcaa45ef17eaa1802161f9ca98">PLUS</a>,</div>
<div class="line"><a name="l00043"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aba18e0accfb91ddb34f4dcc79c626ec5">   43</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aba18e0accfb91ddb34f4dcc79c626ec5">MINUS</a>,</div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">   44</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>,</div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ac3c38ad296d5671b7fde3373fdd87ea1">   45</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ac3c38ad296d5671b7fde3373fdd87ea1">DIVIDE</a>,</div>
<div class="line"><a name="l00046"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a880283f7bbc366efe54c9ea074c9f5e5">   46</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a880283f7bbc366efe54c9ea074c9f5e5">POW</a>,</div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a06099c2202528528fba471ce7c385f6f">   47</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a06099c2202528528fba471ce7c385f6f">INTDIV</a>,</div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a7792d254298653dac2e5bf77e9e9a634">   48</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a7792d254298653dac2e5bf77e9e9a634">MOD</a>,</div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9e29ecc77281f945fb50c183cfae6749">   49</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9e29ecc77281f945fb50c183cfae6749">LT</a>,</div>
<div class="line"><a name="l00050"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a1b768cf71a18713c90cd71f82488ffb1">   50</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a1b768cf71a18713c90cd71f82488ffb1">LE</a>,</div>
<div class="line"><a name="l00051"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a589b68b2d271254aa9fd3d89b4bf33b9">   51</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a589b68b2d271254aa9fd3d89b4bf33b9">GT</a>,</div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aad2afa561f31a801e12ab3fdd50a6229">   52</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aad2afa561f31a801e12ab3fdd50a6229">GE</a>,</div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a3193c0a76bedff5b39b32531195ef779">   53</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a3193c0a76bedff5b39b32531195ef779">IS_INTEGER</a>,</div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a107c43d9a02d979865151d07e9e2eee4">   54</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a107c43d9a02d979865151d07e9e2eee4">DARK_SHADOW</a>,</div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ae88f497d92023928ed529d704ecb1881">   55</a></span>&#160;    <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ae88f497d92023928ed529d704ecb1881">GRAY_SHADOW</a></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  } <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024">ArithKinds</a>;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="comment">/*****************************************************************************/</span><span class="comment"></span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="comment">/*!</span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="comment"> *\class TheoryArith</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="comment"> *\ingroup Theories</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="comment"> *\brief This theory handles basic linear arithmetic.</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="comment"> * Author: Clark Barrett</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="comment"> * Created: Sat Feb  8 14:44:32 2003</span></div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="comment">/*****************************************************************************/</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html">   70</a></span>&#160;<span class="keyword">class </span><a class="code" href="classCVC3_1_1TheoryArith.html" title="This theory handles basic linear arithmetic.">TheoryArith</a> :<span class="keyword">public</span> <a class="code" href="classCVC3_1_1Theory.html" title="Base class for theories.">Theory</a> {</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160; <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a447eac07a3b8a1f439e9379466be2a10">   72</a></span>&#160;  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a447eac07a3b8a1f439e9379466be2a10">d_realType</a>;</div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a8ae42bae19cdfd95be038365c55ca1ab">   73</a></span>&#160;  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a8ae42bae19cdfd95be038365c55ca1ab">d_intType</a>;</div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a96bd09b1e8c9d9044d186197fa3aa924">   74</a></span>&#160;  std::vector&lt;int&gt; <a class="code" href="classCVC3_1_1TheoryArith.html#a96bd09b1e8c9d9044d186197fa3aa924">d_kinds</a>;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160; <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="comment">  //! Canonize the expression e, assuming all children are canonical</span></div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="comment"></span>  <span class="keyword">virtual</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a78442f767c7ce9eef62df74af29178d6" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="comment">  //! Canonize the expression e recursively</span></div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="comment"></span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a646f9972679d4465ba9ff7430cda9268" title="Canonize the expression e recursively.">canonRec</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e);</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="comment">  //! Print a rational in SMT-LIB format</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="comment"></span>  <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#aa2e49ab9e41d425df9398b27c7a95251" title="Print a rational in SMT-LIB format.">printRational</a>(<a class="code" href="classCVC3_1_1ExprStream.html" title="Pretty-printing output stream for Expr. READ THE DOCS BEFORE USING!">ExprStream</a>&amp; os, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>&amp; r,</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                     <span class="keywordtype">bool</span> printAsReal = <span class="keyword">false</span>);</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="comment">  //! Whether any ite&#39;s appear in the arithmetic part of the term e</span></div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="comment"></span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a432e12ff64bf229a3572e36d49aec683" title="Whether any ite&#39;s appear in the arithmetic part of the term e.">isAtomicArithTerm</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e);</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="comment">  //! simplify leaves and then canonize</span></div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="comment"></span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArith.html#ac34712c1935e1c1f465f3132c622d1aa" title="simplify leaves and then canonize">canonSimp</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e);</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="comment">  //! helper for checkAssertEqInvariant</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="comment"></span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArith.html#adea0b08bcb123d6dca2b4742326b87c1" title="helper for checkAssertEqInvariant">recursiveCanonSimpCheck</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e);</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160; <span class="keyword">public</span>:</div>
<div class="line"><a name="l00098"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a6a2211c8a2f43f881c2d9cf31deb6f08">   98</a></span>&#160;  <a class="code" href="classCVC3_1_1TheoryArith.html#a6a2211c8a2f43f881c2d9cf31deb6f08">TheoryArith</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, <span class="keyword">const</span> std::string&amp; name)</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    : <a class="code" href="classCVC3_1_1Theory.html" title="Base class for theories.">Theory</a>(core, name) {}</div>
<div class="line"><a name="l00100"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a23882e28175f07c2f0636f5ffe423595">  100</a></span>&#160;  <a class="code" href="classCVC3_1_1TheoryArith.html#a23882e28175f07c2f0636f5ffe423595">~TheoryArith</a>() {}</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
<div class="line"><a name="l00102"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a7491e5568f08eb89f9e801fccbd94b3e">  102</a></span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a7491e5568f08eb89f9e801fccbd94b3e">addMultiplicativeSignSplit</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>&amp; case_split_thm) {};</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="comment">  /**</span></div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="comment">   * Record that smaller should be smaller than bigger in the variable order.</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="comment">   * Should be implemented in decision procedures that support it.</span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="comment">   */</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a9c7006698172a267cd3b138baf5ad5a9">  108</a></span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a9c7006698172a267cd3b138baf5ad5a9">addPairToArithOrder</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; smaller, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; bigger) { <span class="keywordflow">return</span> <span class="keyword">true</span>; };</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  <span class="comment">// Used by translator</span><span class="comment"></span></div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;<span class="comment">  //! Return whether e is syntactically identical to a rational constant</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="comment"></span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a4df272c28af590572a6ed1b1df8316b0" title="Return whether e is syntactically identical to a rational constant.">isSyntacticRational</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e, <a class="code" href="classCVC3_1_1Rational.html">Rational</a>&amp; r);<span class="comment"></span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="comment">  //! Whether any ite&#39;s appear in the arithmetic part of the formula e</span></div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="comment"></span>  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a8a309c3cad104aeb4a0b94b64dff22d7" title="Whether any ite&#39;s appear in the arithmetic part of the formula e.">isAtomicArithFormula</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e);<span class="comment"></span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="comment">  //! Rewrite an atom to look like x - y op c if possible--for smtlib translation</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="comment"></span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a5fcd4d9b9075f8d00096eea469b81abc" title="Rewrite an atom to look like x - y op c if possible–for smtlib translation.">rewriteToDiff</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e);</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="comment">  /*! @brief Composition of canon(const Expr&amp;) by transitivity: take e0 = e1,</span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="comment">   * canonize e1 to e2, return e0 = e2. */</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#ad758f1c786e6c2631f0b74f0ef135353">  120</a></span>&#160;  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArith.html#ad758f1c786e6c2631f0b74f0ef135353" title="Composition of canon(const Expr&amp;) by transitivity: take e0 = e1, canonize e1 to e2, return e0 = e2.">canonThm</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>&amp; thm) {</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Theory.html#a76f6507116e36f46dab074781fb9bf2d" title="(a1 == a2) &amp; (a2 == a3) ==&gt; (a1 == a3)">transitivityRule</a>(thm, <a class="code" href="classCVC3_1_1TheoryArith.html#a78442f767c7ce9eef62df74af29178d6" title="Canonize the expression e, assuming all children are canonical.">canon</a>(thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>()));</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  }</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  <span class="comment">// ArithTheoremProducer needs this function, so make it public</span><span class="comment"></span></div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="comment">  //! Separate monomial e = c*p1*...*pn into c and 1*p1*...*pn</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="comment"></span>  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#aa1298a20a1dcddd2be2aa7d591909d2c" 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>&amp; e, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; c, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; var) = 0;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  <span class="comment">// Theory interface</span></div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#ae3c23943703bddf1f6f642a4b3ff9503" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#aef5c0f3d486b56abdd8e488b5b6ede6e" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#aa438bb4c5ceaeca9b2bb692d725d6ce8" title="Process disequalities from the arrangement for model generation.">refineCounterExample</a>() = 0;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#abb0dc7f8453ab4327aca42a9bd394ca2" title="Assign concrete values to basic-type variables in v.">computeModelBasic</a>(<span class="keyword">const</span> std::vector&lt;Expr&gt;&amp; v) = 0;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#af775fc35d6a629ec19e2ffb67ff19dd4" 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>&amp; e, std::vector&lt;Expr&gt;&amp; vars) = 0;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a1a93522e582d9381e461972125984ea4" title="Check for satisfiability in the theory.">checkSat</a>(<span class="keywordtype">bool</span> fullEffort) = 0;</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  <span class="keyword">virtual</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArith.html#aaa06e89f76f2313953a35d867c33942f" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a76e011a1d78cac54d5bd87ad1b51ccb7" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a065b02fa3e5ea7bf335b94ae42102cad" 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>&amp; e, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; d) = 0;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  <span class="keyword">virtual</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a79b7f024bad6bbac7520517071957404" title="An optional solver.">solve</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>&amp; e) = 0;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#ae84d7601b3361fe773127a73194160f9" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#afb944017844bcb9681fa4c223d7e7f8d" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;  <span class="keyword">virtual</span> <a class="code" href="namespaceCVC3.html#af969e724f8b7016909f5804e8cea3e54" title="Enum for cardinality of types.">Cardinality</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a56b40e5b07a5f409415f343013fb478b" 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>&amp; e, <a class="code" href="classCVC3_1_1Unsigned.html">Unsigned</a>&amp; n,</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                                     <span class="keywordtype">bool</span> enumerate, <span class="keywordtype">bool</span> computeSize) = 0;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a6abf2a3ab02d2242d7ff0673df934405" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  <span class="keyword">virtual</span> <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a1f99b1033faaf9b5911edcd667872ac7" 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>&amp; t) = 0;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a73c222d70c5bbfc539041095df6a8321" title="Add variables from &#39;e&#39; to &#39;v&#39; 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>&amp; e, std::vector&lt;Expr&gt;&amp; v) = 0;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  <span class="keyword">virtual</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a3b37be00ae123493d74dfd6269bb587a" 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>&amp; t, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) = 0;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  <span class="keyword">virtual</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a076c8333b4e8ce62955e1c0701975487" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  <span class="keyword">virtual</span> <a class="code" href="classCVC3_1_1ExprStream.html" title="Pretty-printing output stream for Expr. READ THE DOCS BEFORE USING!">ExprStream</a>&amp; <a class="code" href="classCVC3_1_1TheoryArith.html#a879d4967986103b989d7003dd815783f" 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>&amp; os, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) = 0;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;  <span class="keyword">virtual</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a900379e03f4f05409fa4a60e2db4e65d" 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>&amp; e) = 0;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  <span class="comment">// Arith constructors</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a03fa81194322b92c488033695bec7204">  152</a></span>&#160;  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a03fa81194322b92c488033695bec7204">realType</a>() { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a447eac07a3b8a1f439e9379466be2a10">d_realType</a>; }</div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#ad3e47bba6c50745ad194cf273aa1d146">  153</a></span>&#160;  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> <a class="code" href="classCVC3_1_1TheoryArith.html#ad3e47bba6c50745ad194cf273aa1d146">intType</a>() { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoryArith.html#a8ae42bae19cdfd95be038365c55ca1ab">d_intType</a>;}</div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a3ddbc092260178d9042bba1c175cb9a6">  154</a></span>&#160;  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a3ddbc092260178d9042bba1c175cb9a6">subrangeType</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; l, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; r)</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a6c3500e78e5abd9ed411013254022e3f">SUBRANGE</a>, l, r)); }</div>
<div class="line"><a name="l00156"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a11b44bafcad3c0875372d6c90a041e2d">  156</a></span>&#160;  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArith.html#a11b44bafcad3c0875372d6c90a041e2d">rat</a>(<a class="code" href="classCVC3_1_1Rational.html">Rational</a> r) { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Theory.html#abc2e30308c9e1f3cf752cfe8d939df1e" title="Access to ExprManager.">getEM</a>()-&gt;<a class="code" href="group__EM__Priv.html#ga18423a42ce6557dc33287d3979ccc3c6">newRatExpr</a>(r); }</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  <span class="comment">// Dark and Gray shadows (for internal use only)</span><span class="comment"></span></div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;<span class="comment">  //! Construct the dark shadow expression representing lhs &lt;= rhs</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#abee62d97b0c60a1a44b7ede3c60b11b6">  159</a></span>&#160;<span class="comment"></span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArith.html#abee62d97b0c60a1a44b7ede3c60b11b6" title="Construct the dark shadow expression representing lhs &lt;= rhs.">darkShadow</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; lhs, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; rhs) {</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a107c43d9a02d979865151d07e9e2eee4">DARK_SHADOW</a>, lhs, rhs);</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  }<span class="comment"></span></div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="comment">  //! Construct the gray shadow expression representing c1 &lt;= v - e &lt;= c2</span></div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="comment"></span><span class="comment">  /*! Alternatively, v = e + i for some i s.t. c1 &lt;= i &lt;= c2</span></div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;<span class="comment">   */</span></div>
<div class="line"><a name="l00165"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#ae7d59b8b9bff1ae3cbb1b67a0baa3463">  165</a></span>&#160;  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1TheoryArith.html#ae7d59b8b9bff1ae3cbb1b67a0baa3463" title="Construct the gray shadow expression representing c1 &lt;= v - e &lt;= c2.">grayShadow</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; v, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e,</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;      <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>&amp; c1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Rational.html">Rational</a>&amp; c2) {</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ae88f497d92023928ed529d704ecb1881">GRAY_SHADOW</a>, v, e, <a class="code" href="classCVC3_1_1TheoryArith.html#a11b44bafcad3c0875372d6c90a041e2d">rat</a>(c1), <a class="code" href="classCVC3_1_1TheoryArith.html#a11b44bafcad3c0875372d6c90a041e2d">rat</a>(c2));</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;  }</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  <span class="keywordtype">bool</span> <a class="code" href="classCVC3_1_1TheoryArith.html#adcdf01dd1e0f78760fefc2a82b604098">leavesAreNumConst</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e);</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;};</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="comment">// Arith testers</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a6475c7ef78c59970a4525d5b3ff0ce86">  173</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a6475c7ef78c59970a4525d5b3ff0ce86">isReal</a>(<a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t) { <span class="keywordflow">return</span> t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ae7eaab02de76a48914face6ef092b749">REAL</a>; }</div>
<div class="line"><a name="l00174"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a8b193cc1fee34cb43707171b2ae6471e">  174</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a8b193cc1fee34cb43707171b2ae6471e">isInt</a>(<a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t) { <span class="keywordflow">return</span> t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a79521290f53e9a3d9bf2a8020b719097">INT</a>; }</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="comment">// Static arith testers</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#ac0334a083d6782caa17ca0d337fddddf">  177</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#ac0334a083d6782caa17ca0d337fddddf">isRational</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#gac5ced6adc7a60945ea6707ef494aa28f">isRational</a>(); }</div>
<div class="line"><a name="l00178"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#aef45cea7af354d2928a8224f7ae8ae4f">  178</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#aef45cea7af354d2928a8224f7ae8ae4f">isIntegerConst</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e)</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;  { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#gac5ced6adc7a60945ea6707ef494aa28f">isRational</a>() &amp;&amp; e.<a class="code" href="group__ExprPkg.html#gab0eee70e4a7f97c09954dc61b71b65e5" title="Get the Rational value out of RATIONAL_EXPR.">getRational</a>().<a class="code" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">isInteger</a>(); }</div>
<div class="line"><a name="l00180"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a6565ee4c48e89ae24989b0359bd7acd6">  180</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a6565ee4c48e89ae24989b0359bd7acd6">isUMinus</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a0b79738a0067780987896f3b91e8b0f1">UMINUS</a>; }</div>
<div class="line"><a name="l00181"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#afb0f7d15ddbd87f9abb128108101f557">  181</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#afb0f7d15ddbd87f9abb128108101f557">isPlus</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9a12fbdcaa45ef17eaa1802161f9ca98">PLUS</a>; }</div>
<div class="line"><a name="l00182"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#ae89ac977fe1032189f00bccb1bb94b92">  182</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#ae89ac977fe1032189f00bccb1bb94b92">isMinus</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aba18e0accfb91ddb34f4dcc79c626ec5">MINUS</a>; }</div>
<div class="line"><a name="l00183"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a28ae8672047db708e99602ebaca89777">  183</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a28ae8672047db708e99602ebaca89777">isMult</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>; }</div>
<div class="line"><a name="l00184"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a10c6762fa24ef8adf8b5a5c3d6e4dad3">  184</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a10c6762fa24ef8adf8b5a5c3d6e4dad3">isDivide</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ac3c38ad296d5671b7fde3373fdd87ea1">DIVIDE</a>; }</div>
<div class="line"><a name="l00185"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a7c2a9996013597a3e00c7562074f590b">  185</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a7c2a9996013597a3e00c7562074f590b">isPow</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a880283f7bbc366efe54c9ea074c9f5e5">POW</a>; }</div>
<div class="line"><a name="l00186"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a448b6e0d541113608bba5a7a005609e3">  186</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a448b6e0d541113608bba5a7a005609e3">isLT</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9e29ecc77281f945fb50c183cfae6749">LT</a>; }</div>
<div class="line"><a name="l00187"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a8ef991dfa16ee3a209b7f38014153101">  187</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a8ef991dfa16ee3a209b7f38014153101">isLE</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a1b768cf71a18713c90cd71f82488ffb1">LE</a>; }</div>
<div class="line"><a name="l00188"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a7306d7566ccb21380f05058477aba009">  188</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a7306d7566ccb21380f05058477aba009">isGT</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a589b68b2d271254aa9fd3d89b4bf33b9">GT</a>; }</div>
<div class="line"><a name="l00189"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#af85f3152a3b2fe195d795bc0aefaec71">  189</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#af85f3152a3b2fe195d795bc0aefaec71">isGE</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aad2afa561f31a801e12ab3fdd50a6229">GE</a>; }</div>
<div class="line"><a name="l00190"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a61ff5938806e85a64c55e42c6fca5255">  190</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a61ff5938806e85a64c55e42c6fca5255">isDarkShadow</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a107c43d9a02d979865151d07e9e2eee4">DARK_SHADOW</a>;}</div>
<div class="line"><a name="l00191"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#ab9a9fba0a64da2bd1ee5194fdedffb07">  191</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#ab9a9fba0a64da2bd1ee5194fdedffb07">isGrayShadow</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ae88f497d92023928ed529d704ecb1881">GRAY_SHADOW</a>;}</div>
<div class="line"><a name="l00192"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#abbae617aaff89a9e5deb84ab649e14a0">  192</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#abbae617aaff89a9e5deb84ab649e14a0">isIneq</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e)</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="namespaceCVC3.html#a448b6e0d541113608bba5a7a005609e3">isLT</a>(e) || <a class="code" href="namespaceCVC3.html#a8ef991dfa16ee3a209b7f38014153101">isLE</a>(e) || <a class="code" href="namespaceCVC3.html#a7306d7566ccb21380f05058477aba009">isGT</a>(e) || <a class="code" href="namespaceCVC3.html#af85f3152a3b2fe195d795bc0aefaec71">isGE</a>(e); }</div>
<div class="line"><a name="l00194"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#aff7910c172ccdd1afb5e42964e2f248d">  194</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#aff7910c172ccdd1afb5e42964e2f248d">isIntPred</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; e) { <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a3193c0a76bedff5b39b32531195ef779">IS_INTEGER</a>; }</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;<span class="comment">// Static arith constructors</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a8eccf9a3ce48e30b704c1b689bfe3eff">  197</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#a8eccf9a3ce48e30b704c1b689bfe3eff">uminusExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; child)</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a0b79738a0067780987896f3b91e8b0f1">UMINUS</a>, child); }</div>
<div class="line"><a name="l00199"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#accd3d7d38b0e04136afbc3e5191bc8bb">  199</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#accd3d7d38b0e04136afbc3e5191bc8bb">plusExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9a12fbdcaa45ef17eaa1802161f9ca98">PLUS</a>, left, right); }</div>
<div class="line"><a name="l00201"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#ac61943118eb6d7714b4fdf2d189359af">  201</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#accd3d7d38b0e04136afbc3e5191bc8bb">plusExpr</a>(<span class="keyword">const</span> std::vector&lt;Expr&gt;&amp; children) {</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(children.size() &gt; 0, <span class="stringliteral">&quot;plusExpr()&quot;</span>);</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9a12fbdcaa45ef17eaa1802161f9ca98">PLUS</a>, children);</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;}</div>
<div class="line"><a name="l00205"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a9ba326c305c5aeb61de515009aaa61f8">  205</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#a9ba326c305c5aeb61de515009aaa61f8">minusExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aba18e0accfb91ddb34f4dcc79c626ec5">MINUS</a>, left, right); }</div>
<div class="line"><a name="l00207"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#adb35e0739f86730543924dbc8211a778">  207</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#adb35e0739f86730543924dbc8211a778">multExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>, left, right); }</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;<span class="comment">// Begin Deepak:</span><span class="comment"></span></div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;<span class="comment">//! a Mult expr with two or more children</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a208eca0cfaf4820ee46887d6c67efe21">  211</a></span>&#160;<span class="comment"></span><span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#adb35e0739f86730543924dbc8211a778">multExpr</a>(<span class="keyword">const</span> std::vector&lt;Expr&gt;&amp; children) {</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(children.size() &gt; 0, <span class="stringliteral">&quot;multExpr()&quot;</span>);</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>, children);</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;}<span class="comment"></span></div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;<span class="comment">//! Power (x^n, or base^{pow}) expressions</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#aa123bf4eb1751181baf16c5e80b47740">  216</a></span>&#160;<span class="comment"></span><span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#aa123bf4eb1751181baf16c5e80b47740" title="Power (x^n, or base^{pow}) expressions.">powExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceCVC3.html#a28fc84bed3f9bc91ca9967de0f9cfa00" title="Raise &#39;base&#39; into the power of &#39;pow&#39; (pow must be an integer)">pow</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> &amp; base)</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a880283f7bbc366efe54c9ea074c9f5e5">POW</a>, pow, base);}</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="comment">// End Deepak</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a36b5fb04640e2f95f74a58837ae04f68">  219</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#a36b5fb04640e2f95f74a58837ae04f68">divideExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ac3c38ad296d5671b7fde3373fdd87ea1">DIVIDE</a>, left, right); }</div>
<div class="line"><a name="l00221"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#ac9ccba18a3c725634b1f8ba8e99e627f">  221</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#ac9ccba18a3c725634b1f8ba8e99e627f">ltExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9e29ecc77281f945fb50c183cfae6749">LT</a>, left, right); }</div>
<div class="line"><a name="l00223"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#aebfd8a82800bd3dff4c8db461a52cdea">  223</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#aebfd8a82800bd3dff4c8db461a52cdea">leExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a1b768cf71a18713c90cd71f82488ffb1">LE</a>, left, right); }</div>
<div class="line"><a name="l00225"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a8ad355d6650f2dfa754419c634e36afb">  225</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#a8ad355d6650f2dfa754419c634e36afb">gtExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a589b68b2d271254aa9fd3d89b4bf33b9">GT</a>, left, right); }</div>
<div class="line"><a name="l00227"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a520cf0df288be321d27ea6fa77ded2d2">  227</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#a520cf0df288be321d27ea6fa77ded2d2">geExpr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aad2afa561f31a801e12ab3fdd50a6229">GE</a>, left, right); }</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;</div>
<div class="line"><a name="l00230"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">  230</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">operator-</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; child)</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="namespaceCVC3.html#a8eccf9a3ce48e30b704c1b689bfe3eff">uminusExpr</a>(child); }</div>
<div class="line"><a name="l00232"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a286cf8699acada708816e72c6b436b90">  232</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#a286cf8699acada708816e72c6b436b90">operator+</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="namespaceCVC3.html#accd3d7d38b0e04136afbc3e5191bc8bb">plusExpr</a>(left, right); }</div>
<div class="line"><a name="l00234"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#ab912d34310499fcf84a411da5a561faf">  234</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">operator-</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="namespaceCVC3.html#a9ba326c305c5aeb61de515009aaa61f8">minusExpr</a>(left, right); }</div>
<div class="line"><a name="l00236"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a300bc9244236ebdb1bff90b0b453034c">  236</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#a300bc9244236ebdb1bff90b0b453034c">operator*</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="namespaceCVC3.html#adb35e0739f86730543924dbc8211a778">multExpr</a>(left, right); }</div>
<div class="line"><a name="l00238"></a><span class="lineno"><a class="code" href="namespaceCVC3.html#a069aa16342bb9958a3d576a18a390248">  238</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="namespaceCVC3.html#a069aa16342bb9958a3d576a18a390248">operator/</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a>, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>&amp; <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a>)</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="namespaceCVC3.html#a36b5fb04640e2f95f74a58837ae04f68">divideExpr</a>(left, right); }</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;}</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;<span class="preprocessor">#endif</span></div>
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