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<div class="title">theory_arith.cpp</div> </div>
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<a href="theory__arith_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*****************************************************************************/</span><span class="comment"></span>
<a name="l00002"></a>00002 <span class="comment">/*!</span>
<a name="l00003"></a>00003 <span class="comment"> * \file theory_arith.cpp</span>
<a name="l00004"></a>00004 <span class="comment"> * </span>
<a name="l00005"></a>00005 <span class="comment"> * Author: Clark Barrett, Vijay Ganesh.</span>
<a name="l00006"></a>00006 <span class="comment"> * </span>
<a name="l00007"></a>00007 <span class="comment"> * Created: Fri Jan 17 18:39:18 2003</span>
<a name="l00008"></a>00008 <span class="comment"> *</span>
<a name="l00009"></a>00009 <span class="comment"> * <hr></span>
<a name="l00010"></a>00010 <span class="comment"> *</span>
<a name="l00011"></a>00011 <span class="comment"> * License to use, copy, modify, sell and/or distribute this software</span>
<a name="l00012"></a>00012 <span class="comment"> * and its documentation for any purpose is hereby granted without</span>
<a name="l00013"></a>00013 <span class="comment"> * royalty, subject to the terms and conditions defined in the \ref</span>
<a name="l00014"></a>00014 <span class="comment"> * LICENSE file provided with this distribution.</span>
<a name="l00015"></a>00015 <span class="comment"> * </span>
<a name="l00016"></a>00016 <span class="comment"> * <hr></span>
<a name="l00017"></a>00017 <span class="comment"> * </span>
<a name="l00018"></a>00018 <span class="comment"> */</span>
<a name="l00019"></a>00019 <span class="comment">/*****************************************************************************/</span>
<a name="l00020"></a>00020
<a name="l00021"></a>00021
<a name="l00022"></a>00022 <span class="preprocessor">#include "<a class="code" href="theory__arith_8h.html">theory_arith.h</a>"</span>
<a name="l00023"></a>00023 <span class="preprocessor">#include "<a class="code" href="theory__core_8h.html">theory_core.h</a>"</span>
<a name="l00024"></a>00024 <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>
<a name="l00025"></a>00025
<a name="l00026"></a>00026
<a name="l00027"></a>00027 <span class="keyword">using namespace </span>std;
<a name="l00028"></a>00028 <span class="keyword">using namespace </span>CVC3;
<a name="l00029"></a>00029
<a name="l00030"></a>00030
<a name="l00031"></a><a class="code" href="classCVC3_1_1TheoryArith.html#a646f9972679d4465ba9ff7430cda9268">00031</a> <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)
<a name="l00032"></a>00032 {
<a name="l00033"></a>00033 <span class="keywordflow">if</span> (isLeaf(e)) <span class="keywordflow">return</span> reflexivityRule(e);
<a name="l00034"></a>00034 <span class="keywordtype">int</span> ar = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();
<a name="l00035"></a>00035 <span class="keywordflow">if</span> (ar > 0) {
<a name="l00036"></a>00036 vector<Theorem> newChildrenThm;
<a name="l00037"></a>00037 vector<unsigned> changed;
<a name="l00038"></a>00038 <span class="keywordflow">for</span>(<span class="keywordtype">int</span> k = 0; k < ar; ++k) {
<a name="l00039"></a>00039 <span class="comment">// Recursively canonize the kids</span>
<a name="l00040"></a>00040 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> thm = canonRec(e[k]);
<a name="l00041"></a>00041 <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>()) {
<a name="l00042"></a>00042 newChildrenThm.push_back(thm);
<a name="l00043"></a>00043 changed.push_back(k);
<a name="l00044"></a>00044 }
<a name="l00045"></a>00045 }
<a name="l00046"></a>00046 <span class="keywordflow">if</span>(changed.size() > 0) {
<a name="l00047"></a>00047 <span class="keywordflow">return</span> canonThm(substitutivityRule(e, changed, newChildrenThm));
<a name="l00048"></a>00048 }
<a name="l00049"></a>00049 }
<a name="l00050"></a>00050 <span class="keywordflow">return</span> canon(e);
<a name="l00051"></a>00051 }
<a name="l00052"></a>00052
<a name="l00053"></a>00053
<a name="l00054"></a><a class="code" href="classCVC3_1_1TheoryArith.html#aa2e49ab9e41d425df9398b27c7a95251">00054</a> <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,
<a name="l00055"></a>00055 <span class="keywordtype">bool</span> printAsReal)
<a name="l00056"></a>00056 {
<a name="l00057"></a>00057 <span class="comment">// Print rational</span>
<a name="l00058"></a>00058 <span class="keywordflow">if</span> (r.<a class="code" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">isInteger</a>()) {
<a name="l00059"></a>00059 <span class="keywordflow">if</span> (r < 0) {
<a name="l00060"></a>00060 <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>) {
<a name="l00061"></a>00061 os << <span class="stringliteral">"-"</span> << (-r).toString();
<a name="l00062"></a>00062 <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;
<a name="l00063"></a>00063 } <span class="keywordflow">else</span> {
<a name="l00064"></a>00064 os << <span class="stringliteral">"("</span> << <a class="code" href="group__ExprStream__Manip.html#ga2a0348c6d3f94f2f8febc6dd0a9c3218" title="Set the indentation to the current position.">push</a>;
<a name="l00065"></a>00065 <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>) {
<a name="l00066"></a>00066 os << <span class="stringliteral">"~"</span>;
<a name="l00067"></a>00067 }
<a name="l00068"></a>00068 <span class="keywordflow">else</span> {
<a name="l00069"></a>00069 os << <span class="stringliteral">"-"</span>;
<a name="l00070"></a>00070 }
<a name="l00071"></a>00071 os << <a class="code" href="group__ExprStream__Manip.html#ga02670eb229648e9e2d888f21f91b6810" title="Insert a single white space separator.">space</a> << (-r).toString();
<a name="l00072"></a>00072 <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;
<a name="l00073"></a>00073 os << push << <span class="stringliteral">")"</span>;
<a name="l00074"></a>00074 }
<a name="l00075"></a>00075 }
<a name="l00076"></a>00076 <span class="keywordflow">else</span> {
<a name="l00077"></a>00077 os << r.<a class="code" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">toString</a>();
<a name="l00078"></a>00078 <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;
<a name="l00079"></a>00079 }
<a name="l00080"></a>00080 }
<a name="l00081"></a>00081 <span class="keywordflow">else</span> {
<a name="l00082"></a>00082 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>;
<a name="l00083"></a>00083 <a class="code" href="classCVC3_1_1Rational.html">Rational</a> tmp = r.<a class="code" href="classCVC3_1_1Rational.html#a953f2eb850fc3612097b5320dcda6047">getNumerator</a>();
<a name="l00084"></a>00084 <span class="keywordflow">if</span> (tmp < 0) {
<a name="l00085"></a>00085 <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>) {
<a name="l00086"></a>00086 os << <span class="stringliteral">"-"</span> << (-tmp).toString();
<a name="l00087"></a>00087 <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;
<a name="l00088"></a>00088 } <span class="keywordflow">else</span> {
<a name="l00089"></a>00089 os << <span class="stringliteral">"("</span> << <a class="code" href="group__ExprStream__Manip.html#ga2a0348c6d3f94f2f8febc6dd0a9c3218" title="Set the indentation to the current position.">push</a>;
<a name="l00090"></a>00090 <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>) {
<a name="l00091"></a>00091 os << <span class="stringliteral">"~"</span>;
<a name="l00092"></a>00092 }
<a name="l00093"></a>00093 <span class="keywordflow">else</span> {
<a name="l00094"></a>00094 os << <span class="stringliteral">"-"</span>;
<a name="l00095"></a>00095 }
<a name="l00096"></a>00096 os << <a class="code" href="group__ExprStream__Manip.html#ga02670eb229648e9e2d888f21f91b6810" title="Insert a single white space separator.">space</a> << (-tmp).toString();
<a name="l00097"></a>00097 <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;
<a name="l00098"></a>00098 os << push << <span class="stringliteral">")"</span>;
<a name="l00099"></a>00099 }
<a name="l00100"></a>00100 }
<a name="l00101"></a>00101 <span class="keywordflow">else</span> {
<a name="l00102"></a>00102 os << tmp.<a class="code" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">toString</a>();
<a name="l00103"></a>00103 <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;
<a name="l00104"></a>00104 }
<a name="l00105"></a>00105 os << <a class="code" href="group__ExprStream__Manip.html#ga02670eb229648e9e2d888f21f91b6810" title="Insert a single white space separator.">space</a>;
<a name="l00106"></a>00106 tmp = r.<a class="code" href="classCVC3_1_1Rational.html#a7c237dbba5d9f2b022d13bae3188a7e9">getDenominator</a>();
<a name="l00107"></a>00107 <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>);
<a name="l00108"></a>00108 os << tmp.<a class="code" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">toString</a>();
<a name="l00109"></a>00109 <span class="keywordflow">if</span> (printAsReal) os << <span class="stringliteral">".0"</span>;
<a name="l00110"></a>00110 os << push << <span class="stringliteral">")"</span>;
<a name="l00111"></a>00111 }
<a name="l00112"></a>00112 }
<a name="l00113"></a>00113
<a name="l00114"></a>00114
<a name="l00115"></a><a class="code" href="classCVC3_1_1TheoryArith.html#a432e12ff64bf229a3572e36d49aec683">00115</a> <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)
<a name="l00116"></a>00116 {
<a name="l00117"></a>00117 <span class="keywordflow">switch</span> (e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>()) {
<a name="l00118"></a>00118 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5bae07a708ec52c578b62f8b0f701571d56">RATIONAL_EXPR</a>:
<a name="l00119"></a>00119 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00120"></a>00120 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba3a4cfaf3eae8eac1dc2fd27d9f0994dc">ITE</a>:
<a name="l00121"></a>00121 <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00122"></a>00122 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a0b79738a0067780987896f3b91e8b0f1">UMINUS</a>:
<a name="l00123"></a>00123 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9a12fbdcaa45ef17eaa1802161f9ca98">PLUS</a>:
<a name="l00124"></a>00124 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aba18e0accfb91ddb34f4dcc79c626ec5">MINUS</a>:
<a name="l00125"></a>00125 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>:
<a name="l00126"></a>00126 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ac3c38ad296d5671b7fde3373fdd87ea1">DIVIDE</a>:
<a name="l00127"></a>00127 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a880283f7bbc366efe54c9ea074c9f5e5">POW</a>:
<a name="l00128"></a>00128 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a06099c2202528528fba471ce7c385f6f">INTDIV</a>:
<a name="l00129"></a>00129 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a7792d254298653dac2e5bf77e9e9a634">MOD</a>: {
<a name="l00130"></a>00130 <span class="keywordtype">int</span> i=0, iend=e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();
<a name="l00131"></a>00131 <span class="keywordflow">for</span>(; i!=iend; ++i) {
<a name="l00132"></a>00132 <span class="keywordflow">if</span> (!isAtomicArithTerm(e[i])) <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00133"></a>00133 }
<a name="l00134"></a>00134 <span class="keywordflow">break</span>;
<a name="l00135"></a>00135 }
<a name="l00136"></a>00136 <span class="keywordflow">default</span>:
<a name="l00137"></a>00137 <span class="keywordflow">break</span>;
<a name="l00138"></a>00138 }
<a name="l00139"></a>00139 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00140"></a>00140 }
<a name="l00141"></a>00141
<a name="l00142"></a>00142
<a name="l00143"></a><a class="code" href="classCVC3_1_1TheoryArith.html#a8a309c3cad104aeb4a0b94b64dff22d7">00143</a> <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)
<a name="l00144"></a>00144 {
<a name="l00145"></a>00145 <span class="keywordflow">switch</span> (e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>()) {
<a name="l00146"></a>00146 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9e29ecc77281f945fb50c183cfae6749">LT</a>:
<a name="l00147"></a>00147 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a589b68b2d271254aa9fd3d89b4bf33b9">GT</a>:
<a name="l00148"></a>00148 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a1b768cf71a18713c90cd71f82488ffb1">LE</a>:
<a name="l00149"></a>00149 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aad2afa561f31a801e12ab3fdd50a6229">GE</a>:
<a name="l00150"></a>00150 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba9efdc855f3c1477957fb50affec07f8f">EQ</a>:
<a name="l00151"></a>00151 <span class="keywordflow">return</span> isAtomicArithTerm(e[0]) && isAtomicArithTerm(e[1]);
<a name="l00152"></a>00152 }
<a name="l00153"></a>00153 <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00154"></a>00154 }
<a name="l00155"></a>00155
<a name="l00156"></a>00156
<a name="l00157"></a><a class="code" href="classCVC3_1_1TheoryArith.html#a4df272c28af590572a6ed1b1df8316b0">00157</a> <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)
<a name="l00158"></a>00158 {
<a name="l00159"></a>00159 <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>) {
<a name="l00160"></a>00160 r = e[0].<a class="code" href="group__ExprPkg.html#gab0eee70e4a7f97c09954dc61b71b65e5" title="Get the Rational value out of RATIONAL_EXPR.">getRational</a>();
<a name="l00161"></a>00161 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00162"></a>00162 }
<a name="l00163"></a>00163 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#gac5ced6adc7a60945ea6707ef494aa28f">isRational</a>()) {
<a name="l00164"></a>00164 r = e.<a class="code" href="group__ExprPkg.html#gab0eee70e4a7f97c09954dc61b71b65e5" title="Get the Rational value out of RATIONAL_EXPR.">getRational</a>();
<a name="l00165"></a>00165 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00166"></a>00166 }
<a name="l00167"></a>00167 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="namespaceCVC3.html#a6565ee4c48e89ae24989b0359bd7acd6">isUMinus</a>(e)) {
<a name="l00168"></a>00168 <span class="keywordflow">if</span> (isSyntacticRational(e[0], r)) {
<a name="l00169"></a>00169 r = -r;
<a name="l00170"></a>00170 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00171"></a>00171 }
<a name="l00172"></a>00172 }
<a name="l00173"></a>00173 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="namespaceCVC3.html#a10c6762fa24ef8adf8b5a5c3d6e4dad3">isDivide</a>(e)) {
<a name="l00174"></a>00174 <a class="code" href="classCVC3_1_1Rational.html">Rational</a> num;
<a name="l00175"></a>00175 <span class="keywordflow">if</span> (isSyntacticRational(e[0], num)) {
<a name="l00176"></a>00176 <a class="code" href="classCVC3_1_1Rational.html">Rational</a> den;
<a name="l00177"></a>00177 <span class="keywordflow">if</span> (isSyntacticRational(e[1], den)) {
<a name="l00178"></a>00178 <span class="keywordflow">if</span> (den != 0) {
<a name="l00179"></a>00179 r = num / den;
<a name="l00180"></a>00180 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00181"></a>00181 }
<a name="l00182"></a>00182 }
<a name="l00183"></a>00183 }
<a name="l00184"></a>00184 }
<a name="l00185"></a>00185 <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00186"></a>00186 }
<a name="l00187"></a>00187
<a name="l00188"></a>00188
<a name="l00189"></a><a class="code" href="classCVC3_1_1TheoryArith.html#a5fcd4d9b9075f8d00096eea469b81abc">00189</a> <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)
<a name="l00190"></a>00190 {
<a name="l00191"></a>00191 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> tmp = e[0] - e[1];
<a name="l00192"></a>00192 tmp = canonRec(tmp).getRHS();
<a name="l00193"></a>00193 <span class="keywordflow">switch</span> (tmp.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>()) {
<a name="l00194"></a>00194 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5bae07a708ec52c578b62f8b0f701571d56">RATIONAL_EXPR</a>: {
<a name="l00195"></a>00195 <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>();
<a name="l00196"></a>00196 <span class="keywordflow">switch</span> (e.getKind()) {
<a name="l00197"></a>00197 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9e29ecc77281f945fb50c183cfae6749">LT</a>:
<a name="l00198"></a>00198 <span class="keywordflow">if</span> (r < 0) <span class="keywordflow">return</span> trueExpr();
<a name="l00199"></a>00199 <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();
<a name="l00200"></a>00200 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a1b768cf71a18713c90cd71f82488ffb1">LE</a>:
<a name="l00201"></a>00201 <span class="keywordflow">if</span> (r <= 0) <span class="keywordflow">return</span> trueExpr();
<a name="l00202"></a>00202 <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();
<a name="l00203"></a>00203 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a589b68b2d271254aa9fd3d89b4bf33b9">GT</a>:
<a name="l00204"></a>00204 <span class="keywordflow">if</span> (r > 0) <span class="keywordflow">return</span> trueExpr();
<a name="l00205"></a>00205 <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();
<a name="l00206"></a>00206 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024aad2afa561f31a801e12ab3fdd50a6229">GE</a>:
<a name="l00207"></a>00207 <span class="keywordflow">if</span> (r >= 0) <span class="keywordflow">return</span> trueExpr();
<a name="l00208"></a>00208 <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();
<a name="l00209"></a>00209 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba9efdc855f3c1477957fb50affec07f8f">EQ</a>:
<a name="l00210"></a>00210 <span class="keywordflow">if</span> (r == 0) <span class="keywordflow">return</span> trueExpr();
<a name="l00211"></a>00211 <span class="keywordflow">else</span> <span class="keywordflow">return</span> falseExpr();
<a name="l00212"></a>00212 }
<a name="l00213"></a>00213 }
<a name="l00214"></a>00214 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>:
<a name="l00215"></a>00215 <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>);
<a name="l00216"></a>00216 <span class="keywordflow">if</span> (tmp[0].getRational() != -1) <span class="keywordflow">return</span> e;
<a name="l00217"></a>00217 <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));
<a name="l00218"></a>00218 <span class="keywordflow">case</span> <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024a9a12fbdcaa45ef17eaa1802161f9ca98">PLUS</a>: {
<a name="l00219"></a>00219 <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>);
<a name="l00220"></a>00220 <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>();
<a name="l00221"></a>00221 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> x, y;
<a name="l00222"></a>00222 <span class="keywordflow">if</span> (tmp.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 2) {
<a name="l00223"></a>00223 <span class="keywordflow">if</span> (tmp[1].getKind() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>) {
<a name="l00224"></a>00224 x = theoryCore()->getTranslator()->zeroVar();
<a name="l00225"></a>00225 y = tmp[1];
<a name="l00226"></a>00226 }
<a name="l00227"></a>00227 <span class="keywordflow">else</span> {
<a name="l00228"></a>00228 x = tmp[1];
<a name="l00229"></a>00229 y = rat(-1) * theoryCore()->getTranslator()->zeroVar();
<a name="l00230"></a>00230 }
<a name="l00231"></a>00231 }
<a name="l00232"></a>00232 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (tmp.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 3) {
<a name="l00233"></a>00233 <span class="keywordflow">if</span> (tmp[1].getKind() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>) {
<a name="l00234"></a>00234 x = tmp[2];
<a name="l00235"></a>00235 y = tmp[1];
<a name="l00236"></a>00236 }
<a name="l00237"></a>00237 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (tmp[2].getKind() == <a class="code" href="namespaceCVC3.html#a32d50a30de0e9e5bc4c2451de0107024ad77e825b0133e40de2760344377ee1fa">MULT</a>) {
<a name="l00238"></a>00238 x = tmp[1];
<a name="l00239"></a>00239 y = tmp[2];
<a name="l00240"></a>00240 }
<a name="l00241"></a>00241 <span class="keywordflow">else</span> <span class="keywordflow">return</span> e;
<a name="l00242"></a>00242 }
<a name="l00243"></a>00243 <span class="keywordflow">else</span> <span class="keywordflow">return</span> e;
<a name="l00244"></a>00244 <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;
<a name="l00245"></a>00245 <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>);
<a name="l00246"></a>00246 <span class="keywordflow">if</span> (y[0].getRational() != -1) <span class="keywordflow">return</span> e;
<a name="l00247"></a>00247 <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));
<a name="l00248"></a>00248 }
<a name="l00249"></a>00249 <span class="keywordflow">default</span>:
<a name="l00250"></a>00250 <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));
<a name="l00251"></a>00251 <span class="keywordflow">break</span>;
<a name="l00252"></a>00252 }
<a name="l00253"></a>00253 <span class="keywordflow">return</span> e;
<a name="l00254"></a>00254 }
<a name="l00255"></a>00255
<a name="l00256"></a>00256
<a name="l00257"></a><a class="code" href="classCVC3_1_1TheoryArith.html#ac34712c1935e1c1f465f3132c622d1aa">00257</a> <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)
<a name="l00258"></a>00258 {
<a name="l00259"></a>00259 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(canonRec(e).getRHS() == e, <span class="stringliteral">"canonSimp expects input to be canonized"</span>);
<a name="l00260"></a>00260 <span class="keywordtype">int</span> ar = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();
<a name="l00261"></a>00261 <span class="keywordflow">if</span> (isLeaf(e)) <span class="keywordflow">return</span> find(e);
<a name="l00262"></a>00262 <span class="keywordflow">if</span> (ar > 0) {
<a name="l00263"></a>00263 vector<Theorem> newChildrenThm;
<a name="l00264"></a>00264 vector<unsigned> changed;
<a name="l00265"></a>00265 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> thm;
<a name="l00266"></a>00266 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k < ar; ++k) {
<a name="l00267"></a>00267 thm = canonSimp(e[k]);
<a name="l00268"></a>00268 <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>()) {
<a name="l00269"></a>00269 newChildrenThm.push_back(thm);
<a name="l00270"></a>00270 changed.push_back(k);
<a name="l00271"></a>00271 }
<a name="l00272"></a>00272 }
<a name="l00273"></a>00273 <span class="keywordflow">if</span>(changed.size() > 0) {
<a name="l00274"></a>00274 thm = canonThm(substitutivityRule(e, changed, newChildrenThm));
<a name="l00275"></a>00275 <span class="keywordflow">return</span> transitivityRule(thm, find(thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>()));
<a name="l00276"></a>00276 }
<a name="l00277"></a>00277 <span class="keywordflow">else</span> <span class="keywordflow">return</span> find(e);
<a name="l00278"></a>00278 }
<a name="l00279"></a>00279 <span class="keywordflow">return</span> find(e);
<a name="l00280"></a>00280 }
<a name="l00281"></a>00281
<a name="l00282"></a>00282
<a name="l00283"></a><a class="code" href="classCVC3_1_1TheoryArith.html#adea0b08bcb123d6dca2b4742326b87c1">00283</a> <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)
<a name="l00284"></a>00284 {
<a name="l00285"></a>00285 <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>;
<a name="l00286"></a>00286 <span class="keywordflow">if</span> (e != canonSimp(e).getRHS()) <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00287"></a>00287 <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>();
<a name="l00288"></a>00288 <span class="keywordflow">for</span> (; i != iend; ++i)
<a name="l00289"></a>00289 <span class="keywordflow">if</span> (!recursiveCanonSimpCheck(*i)) <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00290"></a>00290 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00291"></a>00291 }
<a name="l00292"></a>00292
<a name="l00293"></a>00293
<a name="l00294"></a><a class="code" href="classCVC3_1_1TheoryArith.html#adcdf01dd1e0f78760fefc2a82b604098">00294</a> <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)
<a name="l00295"></a>00295 {
<a name="l00296"></a>00296 <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>() ||
<a name="l00297"></a>00297 (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>),
<a name="l00298"></a>00298 <span class="stringliteral">"Expected term or arith prop atom"</span>);
<a name="l00299"></a>00299
<a name="l00300"></a>00300 <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga0016a263d60de73f5924072848515699">validTerminalsConstFlag</a>()) {
<a name="l00301"></a>00301 <span class="keywordflow">return</span> e.<a class="code" href="group__ExprPkg.html#gab990a9104757ac6854b92c3b98727b9c">getTerminalsConstFlag</a>();
<a name="l00302"></a>00302 }
<a name="l00303"></a>00303
<a name="l00304"></a>00304 <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#gac5ced6adc7a60945ea6707ef494aa28f">isRational</a>()) {
<a name="l00305"></a>00305 e.<a class="code" href="group__ExprPkg.html#ga4158db17700c28f6fbd6be955c4ad075">setTerminalsConstFlag</a>(<span class="keyword">true</span>);
<a name="l00306"></a>00306 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00307"></a>00307 }
<a name="l00308"></a>00308
<a name="l00309"></a>00309 <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga48a9219339b394280550069ac7b0474f" title="Test if e is atomic.">isAtomic</a>() && isLeaf(e)) {
<a name="l00310"></a>00310 e.<a class="code" href="group__ExprPkg.html#ga4158db17700c28f6fbd6be955c4ad075">setTerminalsConstFlag</a>(<span class="keyword">false</span>);
<a name="l00311"></a>00311 <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00312"></a>00312 }
<a name="l00313"></a>00313
<a name="l00314"></a>00314 <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>);
<a name="l00315"></a>00315 <span class="keywordtype">int</span> k = 0;
<a name="l00316"></a>00316
<a name="l00317"></a>00317 <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>()) {
<a name="l00318"></a>00318 k = 1;
<a name="l00319"></a>00319 }
<a name="l00320"></a>00320
<a name="l00321"></a>00321 <span class="keywordflow">for</span> (; k < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++k) {
<a name="l00322"></a>00322 <span class="keywordflow">if</span> (!leavesAreNumConst(e[k])) {
<a name="l00323"></a>00323 e.<a class="code" href="group__ExprPkg.html#ga4158db17700c28f6fbd6be955c4ad075">setTerminalsConstFlag</a>(<span class="keyword">false</span>);
<a name="l00324"></a>00324 <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00325"></a>00325 }
<a name="l00326"></a>00326 }
<a name="l00327"></a>00327 e.<a class="code" href="group__ExprPkg.html#ga4158db17700c28f6fbd6be955c4ad075">setTerminalsConstFlag</a>(<span class="keyword">true</span>);
<a name="l00328"></a>00328 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00329"></a>00329 }
<a name="l00330"></a>00330
<a name="l00331"></a>00331
</pre></div></div>
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