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<a href="theory__arith_8cpp.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.cpp</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, Vijay Ganesh.</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: Fri Jan 17 18:39:18 2003</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> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "<a class="code" href="theory__arith_8h.html">theory_arith.h</a>"</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include "<a class="code" href="theory__core_8h.html">theory_core.h</a>"</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "<a class="code" href="translator_8h.html" title="An exception to be thrown by the smtlib translator.">translator.h</a>"</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="keyword">using namespace </span>std;</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">using 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"> 30</span> </div>
<div class="line"><a name="l00031"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a646f9972679d4465ba9ff7430cda9268"> 31</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArith::canonRec(<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="l00032"></a><span class="lineno"> 32</span> {</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">if</span> (isLeaf(e)) <span class="keywordflow">return</span> reflexivityRule(e);</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordtype">int</span> ar = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">if</span> (ar > 0) {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  vector<Theorem> newChildrenThm;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  vector<unsigned> changed;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> k = 0; k < ar; ++k) {</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="comment">// Recursively canonize the kids</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> thm = canonRec(e[k]);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">if</span> (thm.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>() != thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>()) {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  newChildrenThm.push_back(thm);</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  changed.push_back(k);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  }</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">if</span>(changed.size() > 0) {</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">return</span> canonThm(substitutivityRule(e, changed, newChildrenThm));</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  }</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  }</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">return</span> canon(e);</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> }</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#aa2e49ab9e41d425df9398b27c7a95251"> 54</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceCVC3.html#ad6230476bd3a2fa2f067f419f61550c4">TheoryArith::printRational</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_1Rational.html">Rational</a>& r,</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordtype">bool</span> printAsReal)</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// Print rational</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">if</span> (r.<a class="code" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">isInteger</a>()) {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">if</span> (r < 0) {</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">if</span> (os.<a class="code" href="classCVC3_1_1ExprStream.html#ac2b2872228aff3fd5d08bbd69c672543" title="Get the current output language.">lang</a>() == <a class="code" href="namespaceCVC3.html#a3aaaf7bc1fc47a4860ef6e59ddb0db0ea7bdae8b250b94f50cea68f05c563cdca" title="for output in SPASS format">SPASS_LANG</a>) {</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  os << <span class="stringliteral">"-"</span> << (-r).toString();</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  os << <span class="stringliteral">"("</span> << <a class="code" href="group__ExprStream__Manip.html#ga2a0348c6d3f94f2f8febc6dd0a9c3218" title="Set the indentation to the current position.">push</a>;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span> (os.<a class="code" href="classCVC3_1_1ExprStream.html#ac2b2872228aff3fd5d08bbd69c672543" title="Get the current output language.">lang</a>() == <a class="code" href="namespaceCVC3.html#a3aaaf7bc1fc47a4860ef6e59ddb0db0ea548619427a4d459d859ccd041ced9bfa" title="SMT-LIB format.">SMTLIB_LANG</a>) {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  os << <span class="stringliteral">"~"</span>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  os << <span class="stringliteral">"-"</span>;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  os << <a class="code" href="group__ExprStream__Manip.html#ga02670eb229648e9e2d888f21f91b6810" title="Insert a single white space separator.">space</a> << (-r).toString();</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  os << push << <span class="stringliteral">")"</span>;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  }</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  os << r.<a class="code" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">toString</a>();</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  os << <span class="stringliteral">"("</span> << <a class="code" href="group__ExprStream__Manip.html#ga2a0348c6d3f94f2f8febc6dd0a9c3218" title="Set the indentation to the current position.">push</a> << <span class="stringliteral">"/ "</span>;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> tmp = r.<a class="code" href="classCVC3_1_1Rational.html#a953f2eb850fc3612097b5320dcda6047">getNumerator</a>();</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">if</span> (tmp < 0) {</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">if</span> (os.<a class="code" href="classCVC3_1_1ExprStream.html#ac2b2872228aff3fd5d08bbd69c672543" title="Get the current output language.">lang</a>() == <a class="code" href="namespaceCVC3.html#a3aaaf7bc1fc47a4860ef6e59ddb0db0ea7bdae8b250b94f50cea68f05c563cdca" title="for output in SPASS format">SPASS_LANG</a>) {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  os << <span class="stringliteral">"-"</span> << (-tmp).toString();</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  os << <span class="stringliteral">"("</span> << <a class="code" href="group__ExprStream__Manip.html#ga2a0348c6d3f94f2f8febc6dd0a9c3218" title="Set the indentation to the current position.">push</a>;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">if</span> (os.<a class="code" href="classCVC3_1_1ExprStream.html#ac2b2872228aff3fd5d08bbd69c672543" title="Get the current output language.">lang</a>() == <a class="code" href="namespaceCVC3.html#a3aaaf7bc1fc47a4860ef6e59ddb0db0ea548619427a4d459d859ccd041ced9bfa" title="SMT-LIB format.">SMTLIB_LANG</a>) {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  os << <span class="stringliteral">"~"</span>;</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="keywordflow">else</span> {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  os << <span class="stringliteral">"-"</span>;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  }</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  os << <a class="code" href="group__ExprStream__Manip.html#ga02670eb229648e9e2d888f21f91b6810" title="Insert a single white space separator.">space</a> << (-tmp).toString();</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  os << push << <span class="stringliteral">")"</span>;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  }</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  os << tmp.<a class="code" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">toString</a>();</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  os << <a class="code" href="group__ExprStream__Manip.html#ga02670eb229648e9e2d888f21f91b6810" title="Insert a single white space separator.">space</a>;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  tmp = r.<a class="code" href="classCVC3_1_1Rational.html#a7c237dbba5d9f2b022d13bae3188a7e9">getDenominator</a>();</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(tmp > 0 && tmp.<a class="code" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">isInteger</a>(), <span class="stringliteral">"Unexpected rational denominator"</span>);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  os << tmp.<a class="code" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">toString</a>();</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  os << push << <span class="stringliteral">")"</span>;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  }</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> }</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</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_1TheoryArith.html#a432e12ff64bf229a3572e36d49aec683"> 115</a></span> <span class="keywordtype">bool</span> TheoryArith::isAtomicArithTerm(<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="l00116"></a><span class="lineno"> 116</span> {</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keywordflow">switch</span> (e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>()) {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5bae07a708ec52c578b62f8b0f701571d56">RATIONAL_EXPR</a>:</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba3a4cfaf3eae8eac1dc2fd27d9f0994dc">ITE</a>:</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a0b79738a0067780987896f3b91e8b0f1">UMINUS</a>:</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9a12fbdcaa45ef17eaa1802161f9ca98">PLUS</a>:</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aba18e0accfb91ddb34f4dcc79c626ec5">MINUS</a>:</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>:</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ac3c38ad296d5671b7fde3373fdd87ea1">DIVIDE</a>:</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a880283f7bbc366efe54c9ea074c9f5e5">POW</a>:</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a06099c2202528528fba471ce7c385f6f">INTDIV</a>:</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a7792d254298653dac2e5bf77e9e9a634">MOD</a>: {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordtype">int</span> i=0, iend=e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">for</span>(; i!=iend; ++i) {</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">if</span> (!isAtomicArithTerm(e[i])) <span class="keywordflow">return</span> <span class="keyword">false</span>;</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="keywordflow">break</span>;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  }</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  }</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> }</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a name="l00143"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a8a309c3cad104aeb4a0b94b64dff22d7"> 143</a></span> <span class="keywordtype">bool</span> TheoryArith::isAtomicArithFormula(<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="l00144"></a><span class="lineno"> 144</span> {</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">switch</span> (e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>()) {</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9e29ecc77281f945fb50c183cfae6749">LT</a>:</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a589b68b2d271254aa9fd3d89b4bf33b9">GT</a>:</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a1b768cf71a18713c90cd71f82488ffb1">LE</a>:</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aad2afa561f31a801e12ab3fdd50a6229">GE</a>:</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba9efdc855f3c1477957fb50affec07f8f">EQ</a>:</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">return</span> isAtomicArithTerm(e[0]) && isAtomicArithTerm(e[1]);</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  }</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keywordflow">return</span> <span class="keyword">false</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"> 155</span> </div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a4df272c28af590572a6ed1b1df8316b0"> 157</a></span> <span class="keywordtype">bool</span> TheoryArith::isSyntacticRational(<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>& r)</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> {</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aeeab40b4cbc1045f41b41f34e1d447f3">REAL_CONST</a>) {</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  r = e[0].<a class="code" href="group__ExprPkg.html#gab0eee70e4a7f97c09954dc61b71b65e5" title="Get the Rational value out of RATIONAL_EXPR.">getRational</a>();</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  }</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#gac5ced6adc7a60945ea6707ef494aa28f">isRational</a>()) {</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  r = e.<a class="code" href="group__ExprPkg.html#gab0eee70e4a7f97c09954dc61b71b65e5" title="Get the Rational value out of RATIONAL_EXPR.">getRational</a>();</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="namespaceCVC3.html#a6565ee4c48e89ae24989b0359bd7acd6">isUMinus</a>(e)) {</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">if</span> (isSyntacticRational(e[0], r)) {</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  r = -r;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  }</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  }</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="namespaceCVC3.html#a10c6762fa24ef8adf8b5a5c3d6e4dad3">isDivide</a>(e)) {</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> num;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">if</span> (isSyntacticRational(e[0], num)) {</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> den;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">if</span> (isSyntacticRational(e[1], den)) {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keywordflow">if</span> (den != 0) {</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  r = num / den;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  }</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  }</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  }</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  }</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> }</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a name="l00189"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#a5fcd4d9b9075f8d00096eea469b81abc"> 189</a></span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> TheoryArith::rewriteToDiff(<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="l00190"></a><span class="lineno"> 190</span> {</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> tmp = e[0] - e[1];</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  tmp = canonRec(tmp).getRHS();</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordflow">switch</span> (tmp.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>()) {</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5bae07a708ec52c578b62f8b0f701571d56">RATIONAL_EXPR</a>: {</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> r = tmp.<a class="code" href="group__ExprPkg.html#gab0eee70e4a7f97c09954dc61b71b65e5" title="Get the Rational value out of RATIONAL_EXPR.">getRational</a>();</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">switch</span> (e.getKind()) {</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9e29ecc77281f945fb50c183cfae6749">LT</a>:</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">if</span> (r < 0) <span class="keywordflow">return</span> trueExpr();</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a1b768cf71a18713c90cd71f82488ffb1">LE</a>:</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keywordflow">if</span> (r <= 0) <span class="keywordflow">return</span> trueExpr();</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a589b68b2d271254aa9fd3d89b4bf33b9">GT</a>:</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keywordflow">if</span> (r > 0) <span class="keywordflow">return</span> trueExpr();</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aad2afa561f31a801e12ab3fdd50a6229">GE</a>:</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordflow">if</span> (r >= 0) <span class="keywordflow">return</span> trueExpr();</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba9efdc855f3c1477957fb50affec07f8f">EQ</a>:</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordflow">if</span> (r == 0) <span class="keywordflow">return</span> trueExpr();</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  }</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  }</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>:</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(tmp[0].<a class="code" href="namespaceCVC3.html#ac0334a083d6782caa17ca0d337fddddf">isRational</a>(), <span class="stringliteral">"Unexpected term structure from canon"</span>);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordflow">if</span> (tmp[0].getRational() != -1) <span class="keywordflow">return</span> e;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(e.getOp(), theoryCore()->getTranslator()->zeroVar() - tmp[1], rat(0));</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9a12fbdcaa45ef17eaa1802161f9ca98">PLUS</a>: {</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(tmp[0].<a class="code" href="namespaceCVC3.html#ac0334a083d6782caa17ca0d337fddddf">isRational</a>(), <span class="stringliteral">"Unexpected term structure from canon"</span>);</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <a class="code" href="classCVC3_1_1Rational.html">Rational</a> c = tmp[0].<a class="code" href="group__ExprPkg.html#gab0eee70e4a7f97c09954dc61b71b65e5" title="Get the Rational value out of RATIONAL_EXPR.">getRational</a>();</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> x, y;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keywordflow">if</span> (tmp.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 2) {</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">if</span> (tmp[1].getKind() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>) {</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  x = theoryCore()->getTranslator()->zeroVar();</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  y = tmp[1];</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  }</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  x = tmp[1];</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  y = rat(-1) * theoryCore()->getTranslator()->zeroVar();</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  }</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  }</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (tmp.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 3) {</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">if</span> (tmp[1].getKind() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>) {</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  x = tmp[2];</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  y = tmp[1];</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  }</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (tmp[2].getKind() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>) {</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  x = tmp[1];</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  y = tmp[2];</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> e;</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  }</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> e;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordflow">if</span> (x.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>) <span class="keywordflow">return</span> e;</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(y[0].<a class="code" href="namespaceCVC3.html#ac0334a083d6782caa17ca0d337fddddf">isRational</a>(), <span class="stringliteral">"Unexpected term structure from canon"</span>);</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">if</span> (y[0].getRational() != -1) <span class="keywordflow">return</span> e;</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(e.getOp(), x - y[1], getEM()->newRatExpr(-c));</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>  <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(e.getOp(), tmp - theoryCore()->getTranslator()->zeroVar(), rat(0));</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">break</span>;</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="keywordflow">return</span> e;</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> }</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> </div>
<div class="line"><a name="l00257"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#ac34712c1935e1c1f465f3132c622d1aa"> 257</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArith::canonSimp(<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="l00258"></a><span class="lineno"> 258</span> {</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(canonRec(e).getRHS() == e, <span class="stringliteral">"canonSimp expects input to be canonized"</span>);</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keywordtype">int</span> ar = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordflow">if</span> (isLeaf(e)) <span class="keywordflow">return</span> find(e);</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">if</span> (ar > 0) {</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  vector<Theorem> newChildrenThm;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  vector<unsigned> changed;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> thm;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k < ar; ++k) {</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  thm = canonSimp(e[k]);</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">if</span> (thm.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>() != thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>()) {</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  newChildrenThm.push_back(thm);</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  changed.push_back(k);</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  }</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="keywordflow">if</span>(changed.size() > 0) {</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  thm = canonThm(substitutivityRule(e, changed, newChildrenThm));</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordflow">return</span> transitivityRule(thm, find(thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>()));</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="keywordflow">else</span> <span class="keywordflow">return</span> find(e);</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  }</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keywordflow">return</span> find(e);</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> </div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#adea0b08bcb123d6dca2b4742326b87c1"> 283</a></span> <span class="keywordtype">bool</span> TheoryArith::recursiveCanonSimpCheck(<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="l00284"></a><span class="lineno"> 284</span> {</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga4dc94c33ae308ff8d9d004f49df8f42b">hasFind</a>()) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keywordflow">if</span> (e != canonSimp(e).getRHS()) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> i = e.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(), iend = e.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>();</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keywordflow">for</span> (; i != iend; ++i)</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keywordflow">if</span> (!recursiveCanonSimpCheck(*i)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span> }</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> </div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> </div>
<div class="line"><a name="l00294"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryArith.html#adcdf01dd1e0f78760fefc2a82b604098"> 294</a></span> <span class="keywordtype">bool</span> TheoryArith::leavesAreNumConst(<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="l00295"></a><span class="lineno"> 295</span> {</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e.<a class="code" href="group__ExprPkg.html#gad527acb49daef3591b78c748746e7eef" title="Test if e is a term (as opposed to a predicate/formula)">isTerm</a>() ||</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  (e.<a class="code" href="group__ExprPkg.html#gad8c63abfec9cc4a8319f3df1b47eee45" title="True iff expr is not a Bool connective.">isPropAtom</a>() && theoryOf(e) == <span class="keyword">this</span>),</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="stringliteral">"Expected term or arith prop atom"</span>);</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga0016a263d60de73f5924072848515699">validTerminalsConstFlag</a>()) {</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#gab990a9104757ac6854b92c3b98727b9c">getTerminalsConstFlag</a>();</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  }</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#gac5ced6adc7a60945ea6707ef494aa28f">isRational</a>()) {</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  e.<a class="code" href="group__ExprPkg.html#ga4158db17700c28f6fbd6be955c4ad075">setTerminalsConstFlag</a>(<span class="keyword">true</span>);</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  }</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> </div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga48a9219339b394280550069ac7b0474f" title="Test if e is atomic.">isAtomic</a>() && isLeaf(e)) {</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  e.<a class="code" href="group__ExprPkg.html#ga4158db17700c28f6fbd6be955c4ad075">setTerminalsConstFlag</a>(<span class="keyword">false</span>);</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  }</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> </div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() > 0, <span class="stringliteral">"Expected non-zero arity"</span>);</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keywordtype">int</span> k = 0;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> </div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>()) {</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  k = 1;</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> </div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">for</span> (; k < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++k) {</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordflow">if</span> (!leavesAreNumConst(e[k])) {</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  e.<a class="code" href="group__ExprPkg.html#ga4158db17700c28f6fbd6be955c4ad075">setTerminalsConstFlag</a>(<span class="keyword">false</span>);</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  }</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  }</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  e.<a class="code" href="group__ExprPkg.html#ga4158db17700c28f6fbd6be955c4ad075">setTerminalsConstFlag</a>(<span class="keyword">true</span>);</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> }</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span> </div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> </div>
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