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<h1>aterm Class Reference</h1><!-- doxytag: class="aterm" -->
<p>Implements a additive term, a set of mterms added together m1 + m2 + m3 + .  
<a href="#_details">More...</a></p>

<p><code>#include &lt;<a class="el" href="aterm_8hh_source.html">aterm.hh</a>&gt;</code></p>

<p><a href="classaterm-members.html">List of all members.</a></p>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td colspan="2"><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#a42df2a5723bf522cc9b06275d55bcd26">aterm</a> ()</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">create an empty aterm (equivalent to 0)  <a href="#a42df2a5723bf522cc9b06275d55bcd26"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#a4caddc05ab1ce149db0a8ac02dbd7a98">aterm</a> (<a class="el" href="classCTree.html">Tree</a> t)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">create a aterm from an additive exp  <a href="#a4caddc05ab1ce149db0a8ac02dbd7a98"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#acb36d6c81f849784e6c9a64706097a0a">aterm</a> (const <a class="el" href="classaterm.html">aterm</a> &amp;a)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">create a copy of an aterm  <a href="#acb36d6c81f849784e6c9a64706097a0a"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classaterm.html">aterm</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#a1651df562ad3e2544ecad194bccd19f0">operator+=</a> (<a class="el" href="classCTree.html">Tree</a> t)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">add in place an additive expression tree  <a href="#a1651df562ad3e2544ecad194bccd19f0"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classaterm.html">aterm</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#a1544a0e91ff7c3c17782d1161925b11c">operator-=</a> (<a class="el" href="classCTree.html">Tree</a> t)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">add in place an additive expression tree  <a href="#a1544a0e91ff7c3c17782d1161925b11c"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classaterm.html">aterm</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#a1c9a56a4d1b506d036b0aa7759e6c29b">operator+=</a> (const <a class="el" href="classmterm.html">mterm</a> &amp;m)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">add in place an mterm  <a href="#a1c9a56a4d1b506d036b0aa7759e6c29b"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classaterm.html">aterm</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#a16f063fc8e70c8e9245ec42fe33d510e">operator-=</a> (const <a class="el" href="classmterm.html">mterm</a> &amp;m)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">add in place an mterm  <a href="#a16f063fc8e70c8e9245ec42fe33d510e"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classCTree.html">Tree</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#a793687477fd756925c4db2914d8a5820">normalizedTree</a> () const </td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">return the corresponding normalized expression tree  <a href="#a793687477fd756925c4db2914d8a5820"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">ostream &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#a8cb1049e8b593acb1b451dd7db86a2cc">print</a> (ostream &amp;dst) const </td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">print a aterm m1 + m2 + m3 +...  <a href="#a8cb1049e8b593acb1b451dd7db86a2cc"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmterm.html">mterm</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#a52130183f30e9b4e998532ca36536dc7">greatestDivisor</a> () const </td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">return the greatest divisor of any two mterms  <a href="#a52130183f30e9b4e998532ca36536dc7"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classaterm.html">aterm</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#ae6906479134fa7fac1486aa8f1fccd31">factorize</a> (const <a class="el" href="classmterm.html">mterm</a> &amp;d)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">reorganize the aterm by factorizing d  <a href="#ae6906479134fa7fac1486aa8f1fccd31"></a><br/></td></tr>
<tr><td colspan="2"><h2>Private Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">map&lt; <a class="el" href="classCTree.html">Tree</a>, <a class="el" href="classmterm.html">mterm</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245">fSig2MTerms</a></td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">mapping between signatures and corresponding mterms  <a href="#ae8b30f7dacfc6e2fab5541e6e5c53245"></a><br/></td></tr>
</table>
<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>Implements a additive term, a set of mterms added together m1 + m2 + m3 + . </p>
<p>.. </p>

<p>Definition at line <a class="el" href="aterm_8hh_source.html#l00023">23</a> of file <a class="el" href="aterm_8hh_source.html">aterm.hh</a>.</p>
<hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="a42df2a5723bf522cc9b06275d55bcd26"></a><!-- doxytag: member="aterm::aterm" ref="a42df2a5723bf522cc9b06275d55bcd26" args="()" -->
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<p>create an empty aterm (equivalent to 0) </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00011">11</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00012"></a>00012 {}
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<a class="anchor" id="a4caddc05ab1ce149db0a8ac02dbd7a98"></a><!-- doxytag: member="aterm::aterm" ref="a4caddc05ab1ce149db0a8ac02dbd7a98" args="(Tree t)" -->
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          <td class="paramname"> <em>t</em></td>
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<p>create a aterm from an additive exp </p>
<p>create a aterm from a tree expression </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00018">18</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00019"></a>00019 {
<a name="l00020"></a>00020 <span class="preprocessor">    #ifdef TRACE</span>
<a name="l00021"></a>00021 <span class="preprocessor"></span>    cerr &lt;&lt; <span class="stringliteral">&quot;aterm::aterm (&quot;</span> &lt;&lt; <a class="code" href="classppsig.html">ppsig</a>(t)&lt;&lt; <span class="stringliteral">&quot;)&quot;</span> &lt;&lt; endl;
<a name="l00022"></a>00022 <span class="preprocessor">    #endif</span>
<a name="l00023"></a>00023 <span class="preprocessor"></span>    *<span class="keyword">this</span> += t;
<a name="l00024"></a>00024 <span class="preprocessor">    #ifdef TRACE</span>
<a name="l00025"></a>00025 <span class="preprocessor"></span>    cerr &lt;&lt; <span class="stringliteral">&quot;aterm::aterm (&quot;</span> &lt;&lt; <a class="code" href="classppsig.html">ppsig</a>(t)&lt;&lt; <span class="stringliteral">&quot;) : -&gt; &quot;</span> &lt;&lt; *<span class="keyword">this</span> &lt;&lt; endl;
<a name="l00026"></a>00026 <span class="preprocessor">    #endif</span>
<a name="l00027"></a>00027 <span class="preprocessor"></span>}
</pre></div></p>

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<a class="anchor" id="acb36d6c81f849784e6c9a64706097a0a"></a><!-- doxytag: member="aterm::aterm" ref="acb36d6c81f849784e6c9a64706097a0a" args="(const aterm &amp;a)" -->
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          <td class="paramname"> <em>a</em></td>
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<p>create a copy of an aterm </p>

</div>
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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="ae6906479134fa7fac1486aa8f1fccd31"></a><!-- doxytag: member="aterm::factorize" ref="ae6906479134fa7fac1486aa8f1fccd31" args="(const mterm &amp;d)" -->
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          <td class="memname"><a class="el" href="classaterm.html">aterm</a> aterm::factorize </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classmterm.html">mterm</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>d</em></td>
          <td>&nbsp;)&nbsp;</td>
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<p>reorganize the aterm by factorizing d </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00241">241</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p>References <a class="el" href="aterm_8hh_source.html#l00026">fSig2MTerms</a>, <a class="el" href="mterm_8cpp_source.html#l00305">mterm::hasDivisor()</a>, <a class="el" href="aterm_8cpp_source.html#l00059">normalizedTree()</a>, <a class="el" href="mterm_8cpp_source.html#l00391">mterm::normalizedTree()</a>, and <a class="el" href="signals_8hh_source.html#l00150">sigMul()</a>.</p>

<p>Referenced by <a class="el" href="normalize_8cpp_source.html#l00032">normalizeAddTerm()</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00242"></a>00242 {
<a name="l00243"></a>00243     <span class="comment">//cerr &lt;&lt; &quot;factorize : &quot; &lt;&lt; *this &lt;&lt; &quot; with &quot; &lt;&lt; d &lt;&lt; endl;</span>
<a name="l00244"></a>00244     <a class="code" href="classaterm.html" title="Implements a additive term, a set of mterms added together m1 + m2 + m3 + .">aterm</a> A;
<a name="l00245"></a>00245     <a class="code" href="classaterm.html" title="Implements a additive term, a set of mterms added together m1 + m2 + m3 + .">aterm</a> Q;
<a name="l00246"></a>00246     
<a name="l00247"></a>00247     <span class="comment">// separate the multiple of m from the others</span>
<a name="l00248"></a>00248     <span class="keywordflow">for</span> (SM::const_iterator p1 = <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.begin(); p1 != <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.end(); p1++) {
<a name="l00249"></a>00249         <a class="code" href="classmterm.html" title="Implements a multiplicative term, a term of type k*x^n*y^m*.">mterm</a> t = p1-&gt;second;
<a name="l00250"></a>00250         <span class="keywordflow">if</span> (t.<a class="code" href="classmterm.html#af2c39e6a83ada2076d5be06a83b92fdd" title="return true if this can be divided by n">hasDivisor</a>(d)) {
<a name="l00251"></a>00251             <a class="code" href="classmterm.html" title="Implements a multiplicative term, a term of type k*x^n*y^m*.">mterm</a> q = t/d;
<a name="l00252"></a>00252             <span class="comment">//cerr &lt;&lt; &quot;q = &quot; &lt;&lt; q &lt;&lt; endl;</span>
<a name="l00253"></a>00253             Q += q;
<a name="l00254"></a>00254             <span class="comment">//cerr &lt;&lt; &quot;step Q = &quot; &lt;&lt; Q &lt;&lt; endl;</span>
<a name="l00255"></a>00255         } <span class="keywordflow">else</span> {
<a name="l00256"></a>00256             A += t;
<a name="l00257"></a>00257             <span class="comment">//cerr &lt;&lt; &quot;step A = &quot; &lt;&lt; A &lt;&lt; endl;</span>
<a name="l00258"></a>00258         }
<a name="l00259"></a>00259     }
<a name="l00260"></a>00260     
<a name="l00261"></a>00261     <span class="comment">// combines the two parts</span>
<a name="l00262"></a>00262     <span class="comment">//cerr &lt;&lt; &quot;d.normalizedTree() &quot; &lt;&lt; ppsig(d.normalizedTree()) &lt;&lt; endl;</span>
<a name="l00263"></a>00263     <span class="comment">//cerr &lt;&lt; &quot;Q.normalizedTree() &quot; &lt;&lt; ppsig(Q.normalizedTree()) &lt;&lt; endl;</span>
<a name="l00264"></a>00264     <span class="comment">//Tree tt = sigMul(d.normalizedTree(), Q.normalizedTree());</span>
<a name="l00265"></a>00265     <span class="comment">//cerr &lt;&lt; &quot;tt &quot; &lt;&lt; *tt &lt;&lt; endl;</span>
<a name="l00266"></a>00266     
<a name="l00267"></a>00267     <span class="comment">//Tree ttt = sigAdd(</span>
<a name="l00268"></a>00268     A += <a class="code" href="signals_8hh.html#a333591913e073c3acd6b891b6da85298">sigMul</a>(d.<a class="code" href="classmterm.html#a6aaebc7c5e6ace53d4ff3e996701a99f" title="return the normalized tree of the mterm">normalizedTree</a>(), Q.<a class="code" href="classaterm.html#a793687477fd756925c4db2914d8a5820" title="return the corresponding normalized expression tree">normalizedTree</a>());
<a name="l00269"></a>00269     <span class="comment">//cerr &lt;&lt; &quot;Final A = &quot; &lt;&lt; A &lt;&lt; endl;</span>
<a name="l00270"></a>00270     <span class="comment">//cerr &lt;&lt; &quot;Final Tree &quot; &lt;&lt; *(A.normalizedTree()) &lt;&lt; endl;</span>
<a name="l00271"></a>00271     <span class="keywordflow">return</span> A;
<a name="l00272"></a>00272 }
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<a class="anchor" id="a52130183f30e9b4e998532ca36536dc7"></a><!-- doxytag: member="aterm::greatestDivisor" ref="a52130183f30e9b4e998532ca36536dc7" args="() const " -->
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<p>return the greatest divisor of any two mterms </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00218">218</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p>References <a class="el" href="mterm_8cpp_source.html#l00064">mterm::complexity()</a>, <a class="el" href="aterm_8hh_source.html#l00026">fSig2MTerms</a>, and <a class="el" href="mterm_8cpp_source.html#l00267">gcd()</a>.</p>

<p>Referenced by <a class="el" href="normalize_8cpp_source.html#l00032">normalizeAddTerm()</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00219"></a>00219 {
<a name="l00220"></a>00220     <span class="keywordtype">int</span> maxComplexity = 0;
<a name="l00221"></a>00221     <a class="code" href="classmterm.html" title="Implements a multiplicative term, a term of type k*x^n*y^m*.">mterm</a> maxGCD(1);
<a name="l00222"></a>00222     
<a name="l00223"></a>00223     <span class="keywordflow">for</span> (SM::const_iterator p1 = <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.begin(); p1 != <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.end(); p1++) {
<a name="l00224"></a>00224         <span class="keywordflow">for</span> (SM::const_iterator p2 = p1; p2 != <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.end(); p2++) {
<a name="l00225"></a>00225             <span class="keywordflow">if</span> (p2 != p1) {
<a name="l00226"></a>00226                 <a class="code" href="classmterm.html" title="Implements a multiplicative term, a term of type k*x^n*y^m*.">mterm</a> g = <a class="code" href="mterm_8cpp.html#a385a9a70763e3f9d9b1c6df07a58d4a2" title="return a mterm that is the greatest common divisor of two mterms">gcd</a>(p1-&gt;second,p2-&gt;second);
<a name="l00227"></a>00227                 <span class="keywordflow">if</span> (g.<a class="code" href="classmterm.html#a693c15c5f4ed5f1aab26ef0910598508" title="return an evaluation of the complexity">complexity</a>()&gt;maxComplexity) {
<a name="l00228"></a>00228                     maxComplexity = g.<a class="code" href="classmterm.html#a693c15c5f4ed5f1aab26ef0910598508" title="return an evaluation of the complexity">complexity</a>();
<a name="l00229"></a>00229                     maxGCD = g;
<a name="l00230"></a>00230                 }
<a name="l00231"></a>00231             }
<a name="l00232"></a>00232         }
<a name="l00233"></a>00233     }
<a name="l00234"></a>00234     <span class="comment">//cerr &lt;&lt; &quot;greatestDivisor of &quot; &lt;&lt; *this &lt;&lt; &quot; is &quot; &lt;&lt; maxGCD &lt;&lt; endl;</span>
<a name="l00235"></a>00235     <span class="keywordflow">return</span> maxGCD;
<a name="l00236"></a>00236 }
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          <td class="memname"><a class="el" href="classCTree.html">Tree</a> aterm::normalizedTree </td>
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          <td>&nbsp;)&nbsp;</td>
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<p>return the corresponding normalized expression tree </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00059">59</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p>References <a class="el" href="aterm_8hh_source.html#l00026">fSig2MTerms</a>, <a class="el" href="sigorderrules_8cpp_source.html#l00062">getSigOrder()</a>, <a class="el" href="mterm_8cpp_source.html#l00039">mterm::isNegative()</a>, <a class="el" href="signals_8hh_source.html#l00185">isZero()</a>, <a class="el" href="mterm_8cpp_source.html#l00391">mterm::normalizedTree()</a>, <a class="el" href="signals_8hh_source.html#l00149">sigSub()</a>, <a class="el" href="aterm_8cpp_source.html#l00033">simplifyingAdd()</a>, and <a class="el" href="tree_8hh_source.html#l00173">tree()</a>.</p>

<p>Referenced by <a class="el" href="aterm_8cpp_source.html#l00241">factorize()</a>, and <a class="el" href="normalize_8cpp_source.html#l00032">normalizeAddTerm()</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00060"></a>00060 {
<a name="l00061"></a>00061     <span class="comment">// store positive and negative tems by order and sign</span>
<a name="l00062"></a>00062     <span class="comment">// positive terms are stored in P[]</span>
<a name="l00063"></a>00063     <span class="comment">// negative terms are inverted (made positive) and stored in N[]</span>
<a name="l00064"></a>00064     <a class="code" href="classCTree.html" title="A CTree = (Node x [CTree]) is a Node associated with a list of subtrees called branches...">Tree</a> <a class="code" href="classP.html">P</a>[4], N[4];
<a name="l00065"></a>00065     
<a name="l00066"></a>00066     <span class="comment">// prepare</span>
<a name="l00067"></a>00067     <span class="keywordflow">for</span> (<span class="keywordtype">int</span> order = 0; order &lt; 4; order++)     P[order] = N[order] = <a class="code" href="tree_8hh.html#a61c13e9361cfa80bbb3cd6ce60a8f595">tree</a>(0);
<a name="l00068"></a>00068     
<a name="l00069"></a>00069     <span class="comment">// sum by order and sign</span>
<a name="l00070"></a>00070     <span class="keywordflow">for</span> (SM::const_iterator p = <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.begin(); p != <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.end(); p++) {
<a name="l00071"></a>00071         <span class="keyword">const</span> <a class="code" href="classmterm.html" title="Implements a multiplicative term, a term of type k*x^n*y^m*.">mterm</a>&amp; m = p-&gt;second; 
<a name="l00072"></a>00072         <span class="keywordflow">if</span> (m.<a class="code" href="classmterm.html#ade41b1583af893a4225b2e379aa4b155" title="true if mterm has a negative coefficient">isNegative</a>()) {
<a name="l00073"></a>00073             <a class="code" href="classCTree.html" title="A CTree = (Node x [CTree]) is a Node associated with a list of subtrees called branches...">Tree</a> t = m.<a class="code" href="classmterm.html#a6aaebc7c5e6ace53d4ff3e996701a99f" title="return the normalized tree of the mterm">normalizedTree</a>(<span class="keyword">false</span>, <span class="keyword">true</span>);
<a name="l00074"></a>00074             <span class="keywordtype">int</span> order = <a class="code" href="sigorderrules_8cpp.html#a20942fac53773f763795775cfdcfb086" title="retrieve the order annotation (between 0 and 3) of a signal.">getSigOrder</a>(t);
<a name="l00075"></a>00075             N[order] = <a class="code" href="aterm_8cpp.html#a7b43caf994f9765584bb6d64beb322fe" title="Add two terms trying to simplify the result.">simplifyingAdd</a>(N[order],t);
<a name="l00076"></a>00076         } <span class="keywordflow">else</span> {
<a name="l00077"></a>00077             <a class="code" href="classCTree.html" title="A CTree = (Node x [CTree]) is a Node associated with a list of subtrees called branches...">Tree</a> t = m.<a class="code" href="classmterm.html#a6aaebc7c5e6ace53d4ff3e996701a99f" title="return the normalized tree of the mterm">normalizedTree</a>();
<a name="l00078"></a>00078             <span class="keywordtype">int</span> order = <a class="code" href="sigorderrules_8cpp.html#a20942fac53773f763795775cfdcfb086" title="retrieve the order annotation (between 0 and 3) of a signal.">getSigOrder</a>(t);
<a name="l00079"></a>00079             P[order] = <a class="code" href="aterm_8cpp.html#a7b43caf994f9765584bb6d64beb322fe" title="Add two terms trying to simplify the result.">simplifyingAdd</a>(P[order],t);
<a name="l00080"></a>00080         }
<a name="l00081"></a>00081     }
<a name="l00082"></a>00082     
<a name="l00083"></a>00083     <span class="comment">// combine sums</span>
<a name="l00084"></a>00084     <a class="code" href="classCTree.html" title="A CTree = (Node x [CTree]) is a Node associated with a list of subtrees called branches...">Tree</a> SUM = <a class="code" href="tree_8hh.html#a61c13e9361cfa80bbb3cd6ce60a8f595">tree</a>(0);
<a name="l00085"></a>00085     <span class="keywordflow">for</span> (<span class="keywordtype">int</span> order = 0; order &lt; 4; order++) {
<a name="l00086"></a>00086         <span class="keywordflow">if</span> (!<a class="code" href="signals_8hh.html#a73fa3ec5ebd4e47dc0fde2d24cc08c56">isZero</a>(P[order]))  {
<a name="l00087"></a>00087             SUM = <a class="code" href="aterm_8cpp.html#a7b43caf994f9765584bb6d64beb322fe" title="Add two terms trying to simplify the result.">simplifyingAdd</a>(SUM,P[order]);
<a name="l00088"></a>00088         }
<a name="l00089"></a>00089         <span class="keywordflow">if</span> (!<a class="code" href="signals_8hh.html#a73fa3ec5ebd4e47dc0fde2d24cc08c56">isZero</a>(N[order]))  {   <span class="comment">// we have to substract</span>
<a name="l00090"></a>00090             <span class="keywordflow">if</span> (<a class="code" href="signals_8hh.html#a73fa3ec5ebd4e47dc0fde2d24cc08c56">isZero</a>(SUM) &amp;&amp; (order &lt; 3)) {
<a name="l00091"></a>00091                 <span class="comment">// we postpone substraction</span>
<a name="l00092"></a>00092                 N[order+1] = <a class="code" href="aterm_8cpp.html#a7b43caf994f9765584bb6d64beb322fe" title="Add two terms trying to simplify the result.">simplifyingAdd</a>(N[order], N[order+1]);
<a name="l00093"></a>00093             } <span class="keywordflow">else</span> {
<a name="l00094"></a>00094                 SUM = <a class="code" href="signals_8hh.html#a390c47bc104a8e072c0c75ea0f9524e6">sigSub</a>(SUM, N[order]);
<a name="l00095"></a>00095             }
<a name="l00096"></a>00096         }
<a name="l00097"></a>00097     }
<a name="l00098"></a>00098     
<a name="l00099"></a>00099     assert(SUM);
<a name="l00100"></a>00100     <span class="keywordflow">return</span> SUM;
<a name="l00101"></a>00101 }
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<a class="anchor" id="a1c9a56a4d1b506d036b0aa7759e6c29b"></a><!-- doxytag: member="aterm::operator+=" ref="a1c9a56a4d1b506d036b0aa7759e6c29b" args="(const mterm &amp;m)" -->
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="classmterm.html">mterm</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>m</em></td>
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<p>add in place an mterm </p>
<p>Add in place an mterm. </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00180">180</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p>References <a class="el" href="aterm_8hh_source.html#l00026">fSig2MTerms</a>, and <a class="el" href="mterm_8cpp_source.html#l00380">mterm::signatureTree()</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00181"></a>00181 {
<a name="l00182"></a>00182 <span class="preprocessor">    #ifdef TRACE</span>
<a name="l00183"></a>00183 <span class="preprocessor"></span>    cerr &lt;&lt; *<span class="keyword">this</span> &lt;&lt; <span class="stringliteral">&quot; aterm::+= &quot;</span> &lt;&lt; m &lt;&lt; endl;
<a name="l00184"></a>00184 <span class="preprocessor">    #endif</span>
<a name="l00185"></a>00185 <span class="preprocessor"></span>    <a class="code" href="classCTree.html" title="A CTree = (Node x [CTree]) is a Node associated with a list of subtrees called branches...">Tree</a> sig = m.<a class="code" href="classmterm.html#a9577faff72c619359db27cbbd00a1752" title="return a signature (a normalized tree)">signatureTree</a>();
<a name="l00186"></a>00186 <span class="preprocessor">    #ifdef TRACE</span>
<a name="l00187"></a>00187 <span class="preprocessor"></span>    cerr &lt;&lt; <span class="stringliteral">&quot;signature &quot;</span> &lt;&lt; *sig &lt;&lt; endl;
<a name="l00188"></a>00188 <span class="preprocessor">    #endif</span>
<a name="l00189"></a>00189 <span class="preprocessor"></span>    SM::const_iterator p = <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.find(sig);
<a name="l00190"></a>00190     <span class="keywordflow">if</span> (p == <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.end()) {
<a name="l00191"></a>00191         <span class="comment">// its a new mterm</span>
<a name="l00192"></a>00192         <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.insert(make_pair(sig,m));
<a name="l00193"></a>00193     } <span class="keywordflow">else</span> {
<a name="l00194"></a>00194         <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>[sig] += m;
<a name="l00195"></a>00195     }
<a name="l00196"></a>00196     <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00197"></a>00197 }
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<a class="anchor" id="a1651df562ad3e2544ecad194bccd19f0"></a><!-- doxytag: member="aterm::operator+=" ref="a1651df562ad3e2544ecad194bccd19f0" args="(Tree t)" -->
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          <td>(</td>
          <td class="paramtype"><a class="el" href="classCTree.html">Tree</a>&nbsp;</td>
          <td class="paramname"> <em>t</em></td>
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<p>add in place an additive expression tree </p>
<p>Add in place an additive expression tree Go down t recursively looking for additions and substractions. </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00127">127</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p>References <a class="el" href="signals_8cpp_source.html#l00126">isSigBinOp()</a>, <a class="el" href="binop_8hh_source.html#l00056">kAdd</a>, and <a class="el" href="binop_8hh_source.html#l00056">kSub</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00128"></a>00128 {
<a name="l00129"></a>00129     <span class="keywordtype">int</span>     op;
<a name="l00130"></a>00130     <a class="code" href="classCTree.html" title="A CTree = (Node x [CTree]) is a Node associated with a list of subtrees called branches...">Tree</a>    x,y;
<a name="l00131"></a>00131 
<a name="l00132"></a>00132     assert(t!=0);
<a name="l00133"></a>00133 
<a name="l00134"></a>00134     <span class="keywordflow">if</span> (<a class="code" href="signals_8cpp.html#a8705584c3c319be54be73dc391d25634">isSigBinOp</a>(t, &amp;op, x, y) &amp;&amp; (op == <a class="code" href="binop_8hh.html#abc6126af1d45847bc59afa0aa3216b04a8d20f6cca2d49a8732f535cfe28812c8">kAdd</a>)) {
<a name="l00135"></a>00135         *<span class="keyword">this</span> += x;
<a name="l00136"></a>00136         *<span class="keyword">this</span> += y;
<a name="l00137"></a>00137 
<a name="l00138"></a>00138     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="signals_8cpp.html#a8705584c3c319be54be73dc391d25634">isSigBinOp</a>(t, &amp;op, x, y) &amp;&amp; (op == <a class="code" href="binop_8hh.html#abc6126af1d45847bc59afa0aa3216b04aa8aa42e35eb8248e580bf83ded4311d3">kSub</a>)) {
<a name="l00139"></a>00139         *<span class="keyword">this</span> += x;
<a name="l00140"></a>00140         *<span class="keyword">this</span> -= y;
<a name="l00141"></a>00141 
<a name="l00142"></a>00142     } <span class="keywordflow">else</span> {
<a name="l00143"></a>00143         <a class="code" href="classmterm.html" title="Implements a multiplicative term, a term of type k*x^n*y^m*.">mterm</a> m(t);
<a name="l00144"></a>00144         *<span class="keyword">this</span> += m;
<a name="l00145"></a>00145     }
<a name="l00146"></a>00146     <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00147"></a>00147 }
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<a class="anchor" id="a16f063fc8e70c8e9245ec42fe33d510e"></a><!-- doxytag: member="aterm::operator&#45;=" ref="a16f063fc8e70c8e9245ec42fe33d510e" args="(const mterm &amp;m)" -->
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          <td class="memname">const <a class="el" href="classaterm.html">aterm</a> &amp; aterm::operator-= </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classmterm.html">mterm</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>m</em></td>
          <td>&nbsp;)&nbsp;</td>
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<p>add in place an mterm </p>
<p>Substract in place an mterm. </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00203">203</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p>References <a class="el" href="aterm_8hh_source.html#l00026">fSig2MTerms</a>, and <a class="el" href="mterm_8cpp_source.html#l00380">mterm::signatureTree()</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00204"></a>00204 {
<a name="l00205"></a>00205     <span class="comment">//cerr &lt;&lt; *this &lt;&lt; &quot; aterm::-= &quot; &lt;&lt; m &lt;&lt; endl;</span>
<a name="l00206"></a>00206     <a class="code" href="classCTree.html" title="A CTree = (Node x [CTree]) is a Node associated with a list of subtrees called branches...">Tree</a> sig = m.<a class="code" href="classmterm.html#a9577faff72c619359db27cbbd00a1752" title="return a signature (a normalized tree)">signatureTree</a>();
<a name="l00207"></a>00207     <span class="comment">//cerr &lt;&lt; &quot;signature &quot; &lt;&lt; *sig &lt;&lt; endl;</span>
<a name="l00208"></a>00208     SM::const_iterator p = <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.find(sig);
<a name="l00209"></a>00209     <span class="keywordflow">if</span> (p == <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.end()) {
<a name="l00210"></a>00210         <span class="comment">// its a new mterm</span>
<a name="l00211"></a>00211         <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.insert(make_pair(sig,m*<a class="code" href="classmterm.html" title="Implements a multiplicative term, a term of type k*x^n*y^m*.">mterm</a>(-1)));
<a name="l00212"></a>00212     } <span class="keywordflow">else</span> {
<a name="l00213"></a>00213         <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>[sig] -= m;
<a name="l00214"></a>00214     }
<a name="l00215"></a>00215     <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00216"></a>00216 }
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          <td class="memname">const <a class="el" href="classaterm.html">aterm</a> &amp; aterm::operator-= </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classCTree.html">Tree</a>&nbsp;</td>
          <td class="paramname"> <em>t</em></td>
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<p>add in place an additive expression tree </p>
<p>Substract in place an additive expression tree Go down t recursively looking for additions and substractions. </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00154">154</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p>References <a class="el" href="signals_8cpp_source.html#l00126">isSigBinOp()</a>, <a class="el" href="binop_8hh_source.html#l00056">kAdd</a>, and <a class="el" href="binop_8hh_source.html#l00056">kSub</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00155"></a>00155 {
<a name="l00156"></a>00156     <span class="keywordtype">int</span>     op;
<a name="l00157"></a>00157     <a class="code" href="classCTree.html" title="A CTree = (Node x [CTree]) is a Node associated with a list of subtrees called branches...">Tree</a>    x,y;
<a name="l00158"></a>00158 
<a name="l00159"></a>00159     assert(t!=0);
<a name="l00160"></a>00160 
<a name="l00161"></a>00161     <span class="keywordflow">if</span> (<a class="code" href="signals_8cpp.html#a8705584c3c319be54be73dc391d25634">isSigBinOp</a>(t, &amp;op, x, y) &amp;&amp; (op == <a class="code" href="binop_8hh.html#abc6126af1d45847bc59afa0aa3216b04a8d20f6cca2d49a8732f535cfe28812c8">kAdd</a>)) {
<a name="l00162"></a>00162         *<span class="keyword">this</span> -= x;
<a name="l00163"></a>00163         *<span class="keyword">this</span> -= y;
<a name="l00164"></a>00164 
<a name="l00165"></a>00165     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="signals_8cpp.html#a8705584c3c319be54be73dc391d25634">isSigBinOp</a>(t, &amp;op, x, y) &amp;&amp; (op == <a class="code" href="binop_8hh.html#abc6126af1d45847bc59afa0aa3216b04aa8aa42e35eb8248e580bf83ded4311d3">kSub</a>)) {
<a name="l00166"></a>00166         *<span class="keyword">this</span> -= x;
<a name="l00167"></a>00167         *<span class="keyword">this</span> += y;
<a name="l00168"></a>00168 
<a name="l00169"></a>00169     } <span class="keywordflow">else</span> {
<a name="l00170"></a>00170         <a class="code" href="classmterm.html" title="Implements a multiplicative term, a term of type k*x^n*y^m*.">mterm</a> m(t);
<a name="l00171"></a>00171         *<span class="keyword">this</span> -= m;
<a name="l00172"></a>00172     }
<a name="l00173"></a>00173     <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00174"></a>00174 }
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<a class="anchor" id="a8cb1049e8b593acb1b451dd7db86a2cc"></a><!-- doxytag: member="aterm::print" ref="a8cb1049e8b593acb1b451dd7db86a2cc" args="(ostream &amp;dst) const " -->
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          <td class="memname">ostream &amp; aterm::print </td>
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          <td class="paramname"> <em>dst</em></td>
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<p>print a aterm m1 + m2 + m3 +... </p>
<p>print an aterm in a human readable format </p>

<p>Definition at line <a class="el" href="aterm_8cpp_source.html#l00107">107</a> of file <a class="el" href="aterm_8cpp_source.html">aterm.cpp</a>.</p>

<p>References <a class="el" href="aterm_8hh_source.html#l00026">fSig2MTerms</a>.</p>

<p>Referenced by <a class="el" href="aterm_8hh_source.html#l00045">operator&lt;&lt;()</a>.</p>

<p><div class="fragment"><pre class="fragment"><a name="l00108"></a>00108 {
<a name="l00109"></a>00109     <span class="keywordflow">if</span> (<a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.empty()) {
<a name="l00110"></a>00110         dst &lt;&lt; <span class="stringliteral">&quot;AZERO&quot;</span>;
<a name="l00111"></a>00111     } <span class="keywordflow">else</span> {
<a name="l00112"></a>00112         <span class="keyword">const</span> <span class="keywordtype">char</span>* sep = <span class="stringliteral">&quot;&quot;</span>;
<a name="l00113"></a>00113         <span class="keywordflow">for</span> (SM::const_iterator p = <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.begin(); p != <a class="code" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245" title="mapping between signatures and corresponding mterms">fSig2MTerms</a>.end(); p++) {
<a name="l00114"></a>00114             dst &lt;&lt; sep &lt;&lt; p-&gt;second;
<a name="l00115"></a>00115             sep = <span class="stringliteral">&quot; + &quot;</span>;
<a name="l00116"></a>00116         }
<a name="l00117"></a>00117     }
<a name="l00118"></a>00118  
<a name="l00119"></a>00119     <span class="keywordflow">return</span> dst;
<a name="l00120"></a>00120 }
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<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="ae8b30f7dacfc6e2fab5541e6e5c53245"></a><!-- doxytag: member="aterm::fSig2MTerms" ref="ae8b30f7dacfc6e2fab5541e6e5c53245" args="" -->
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          <td class="memname">map&lt;<a class="el" href="classCTree.html">Tree</a>,<a class="el" href="classmterm.html">mterm</a>&gt; <a class="el" href="classaterm.html#ae8b30f7dacfc6e2fab5541e6e5c53245">aterm::fSig2MTerms</a><code> [private]</code></td>
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<p>mapping between signatures and corresponding mterms </p>

<p>Definition at line <a class="el" href="aterm_8hh_source.html#l00026">26</a> of file <a class="el" href="aterm_8hh_source.html">aterm.hh</a>.</p>

<p>Referenced by <a class="el" href="aterm_8cpp_source.html#l00241">factorize()</a>, <a class="el" href="aterm_8cpp_source.html#l00218">greatestDivisor()</a>, <a class="el" href="aterm_8cpp_source.html#l00059">normalizedTree()</a>, <a class="el" href="aterm_8cpp_source.html#l00180">operator+=()</a>, <a class="el" href="aterm_8cpp_source.html#l00203">operator-=()</a>, and <a class="el" href="aterm_8cpp_source.html#l00107">print()</a>.</p>

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<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="aterm_8hh_source.html">aterm.hh</a></li>
<li><a class="el" href="aterm_8cpp_source.html">aterm.cpp</a></li>
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