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<h1>vector.c</h1><a href="vector_8c.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*</span>
<a name="l00002"></a>00002 <span class="comment">    This file is part of PolyLib.</span>
<a name="l00003"></a>00003 <span class="comment"></span>
<a name="l00004"></a>00004 <span class="comment">    PolyLib is free software: you can redistribute it and/or modify</span>
<a name="l00005"></a>00005 <span class="comment">    it under the terms of the GNU General Public License as published by</span>
<a name="l00006"></a>00006 <span class="comment">    the Free Software Foundation, either version 3 of the License, or</span>
<a name="l00007"></a>00007 <span class="comment">    (at your option) any later version.</span>
<a name="l00008"></a>00008 <span class="comment"></span>
<a name="l00009"></a>00009 <span class="comment">    PolyLib is distributed in the hope that it will be useful,</span>
<a name="l00010"></a>00010 <span class="comment">    but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
<a name="l00011"></a>00011 <span class="comment">    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span>
<a name="l00012"></a>00012 <span class="comment">    GNU General Public License for more details.</span>
<a name="l00013"></a>00013 <span class="comment"></span>
<a name="l00014"></a>00014 <span class="comment">    You should have received a copy of the GNU General Public License</span>
<a name="l00015"></a>00015 <span class="comment">    along with PolyLib.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span>
<a name="l00016"></a>00016 <span class="comment">*/</span>
<a name="l00017"></a>00017 
<a name="l00018"></a>00018 <span class="comment">/* vector.c</span>
<a name="l00019"></a>00019 <span class="comment">          COPYRIGHT</span>
<a name="l00020"></a>00020 <span class="comment">          Both this software and its documentation are</span>
<a name="l00021"></a>00021 <span class="comment"></span>
<a name="l00022"></a>00022 <span class="comment">              Copyrighted 1993 by IRISA /Universite de Rennes I - France,</span>
<a name="l00023"></a>00023 <span class="comment">              Copyright 1995,1996 by BYU, Provo, Utah</span>
<a name="l00024"></a>00024 <span class="comment">                         all rights reserved.</span>
<a name="l00025"></a>00025 <span class="comment"></span>
<a name="l00026"></a>00026 <span class="comment">          Permission is granted to copy, use, and distribute</span>
<a name="l00027"></a>00027 <span class="comment">          for any commercial or noncommercial purpose under the terms</span>
<a name="l00028"></a>00028 <span class="comment">          of the GNU General Public license, version 2, June 1991</span>
<a name="l00029"></a>00029 <span class="comment">          (see file : LICENSING).</span>
<a name="l00030"></a>00030 <span class="comment">*/</span>
<a name="l00031"></a>00031 
<a name="l00032"></a>00032 <span class="preprocessor">#include &lt;stdio.h&gt;</span>
<a name="l00033"></a>00033 <span class="preprocessor">#include &lt;stdlib.h&gt;</span>
<a name="l00034"></a>00034 <span class="preprocessor">#include &lt;<a class="code" href="polylib_8h.html">polylib/polylib.h</a>&gt;</span>
<a name="l00035"></a>00035 
<a name="l00036"></a>00036 <span class="preprocessor">#ifdef MAC_OS</span>
<a name="l00037"></a>00037 <span class="preprocessor"></span><span class="preprocessor">  #define abs __abs</span>
<a name="l00038"></a>00038 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00039"></a>00039 <span class="preprocessor"></span>
<a name="l00040"></a>00040 <span class="comment">/* </span>
<a name="l00041"></a>00041 <span class="comment"> * Compute n! </span>
<a name="l00042"></a>00042 <span class="comment"> */</span>
<a name="l00043"></a><a class="code" href="vector_8h.html#a1b1a8da196e3e94a8e89a9792f84300f">00043</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a6926aa87c13e78aad894ed894ccf6ba7">Factorial</a>(<span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#a76f11d9a0a47b94f72c2d0e77fb32240">n</a>, Value *fact) {
<a name="l00044"></a>00044   
<a name="l00045"></a>00045   <span class="keywordtype">int</span> i;
<a name="l00046"></a>00046   Value tmp;
<a name="l00047"></a>00047   
<a name="l00048"></a>00048   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp);
<a name="l00049"></a>00049   
<a name="l00050"></a>00050   <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(*fact,1);
<a name="l00051"></a>00051   <span class="keywordflow">for</span> (i=1;i&lt;=n;i++) {
<a name="l00052"></a>00052     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(tmp,i);
<a name="l00053"></a>00053     <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(*fact,*fact,tmp);
<a name="l00054"></a>00054   }
<a name="l00055"></a>00055   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00056"></a>00056 } <span class="comment">/* Factorial */</span>
<a name="l00057"></a>00057 
<a name="l00058"></a>00058 <span class="comment">/* </span>
<a name="l00059"></a>00059 <span class="comment"> * Compute n!/(p!(n-p)!) </span>
<a name="l00060"></a>00060 <span class="comment"> */</span>
<a name="l00061"></a><a class="code" href="vector_8h.html#ae89968fb20e83ba8dc3e4ccb19d4eb3d">00061</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#ae89968fb20e83ba8dc3e4ccb19d4eb3d">Binomial</a>(<span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#a76f11d9a0a47b94f72c2d0e77fb32240">n</a>, <span class="keywordtype">int</span> <a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>, Value *result) {
<a name="l00062"></a>00062   
<a name="l00063"></a>00063   <span class="keywordtype">int</span> i;
<a name="l00064"></a>00064   Value tmp;
<a name="l00065"></a>00065   Value f;
<a name="l00066"></a>00066   
<a name="l00067"></a>00067   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp);<a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(f);
<a name="l00068"></a>00068   
<a name="l00069"></a>00069   <span class="keywordflow">if</span> (n-p&lt;p)
<a name="l00070"></a>00070     p=n-p;
<a name="l00071"></a>00071   <span class="keywordflow">if</span> (p!=0) {
<a name="l00072"></a>00072     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(*result,(n-p+1));
<a name="l00073"></a>00073     <span class="keywordflow">for</span> (i=n-p+2;i&lt;=n;i++) {
<a name="l00074"></a>00074       <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(tmp,i);    
<a name="l00075"></a>00075       <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(*result,*result,tmp);
<a name="l00076"></a>00076     }
<a name="l00077"></a>00077     <a class="code" href="vector_8c.html#a6926aa87c13e78aad894ed894ccf6ba7">Factorial</a>(p,&amp;f);
<a name="l00078"></a>00078     <a class="code" href="source_2arith_2arithmetique_8h.html#ac633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(*result,*result,f);
<a name="l00079"></a>00079   }
<a name="l00080"></a>00080   <span class="keywordflow">else</span> 
<a name="l00081"></a>00081     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(*result,1);
<a name="l00082"></a>00082   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(f);<a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00083"></a>00083 } <span class="comment">/* Binomial */</span>
<a name="l00084"></a>00084   
<a name="l00085"></a>00085 <span class="comment">/*</span>
<a name="l00086"></a>00086 <span class="comment"> * Return the number of ways to choose &apos;b&apos; items from &apos;a&apos; items, that is, </span>
<a name="l00087"></a>00087 <span class="comment"> * return a!/(b!(a-b)!)</span>
<a name="l00088"></a>00088 <span class="comment"> */</span>
<a name="l00089"></a><a class="code" href="vector_8h.html#ae13fd0bd2390d14102707a21128d0358">00089</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#ae13fd0bd2390d14102707a21128d0358">CNP</a>(<span class="keywordtype">int</span> a,<span class="keywordtype">int</span> b, Value *result) {
<a name="l00090"></a>00090   
<a name="l00091"></a>00091   <span class="keywordtype">int</span> i;
<a name="l00092"></a>00092   Value tmp;
<a name="l00093"></a>00093   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp);
<a name="l00094"></a>00094 
<a name="l00095"></a>00095   <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(*result,1);
<a name="l00096"></a>00096   
<a name="l00097"></a>00097   <span class="comment">/* If number of items is less than the number to be choosen, return 1 */</span>
<a name="l00098"></a>00098   <span class="keywordflow">if</span>(a &lt;= b) {
<a name="l00099"></a>00099     <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00100"></a>00100     <span class="keywordflow">return</span>;
<a name="l00101"></a>00101   }  
<a name="l00102"></a>00102   <span class="keywordflow">for</span>(i=a;i&gt;b;--i) {
<a name="l00103"></a>00103     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(tmp,i);
<a name="l00104"></a>00104     <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(*result,*result,tmp);
<a name="l00105"></a>00105   }  
<a name="l00106"></a>00106   <span class="keywordflow">for</span>(i=1;i&lt;=(a-b);++i) {
<a name="l00107"></a>00107     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(tmp,i);
<a name="l00108"></a>00108     <a class="code" href="source_2arith_2arithmetique_8h.html#ac633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(*result,*result,tmp);
<a name="l00109"></a>00109   }
<a name="l00110"></a>00110   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00111"></a>00111 } <span class="comment">/* CNP */</span>
<a name="l00112"></a>00112 
<a name="l00113"></a>00113 <span class="comment">/* </span>
<a name="l00114"></a>00114 <span class="comment"> * Compute GCD of &apos;a&apos; and &apos;b&apos; </span>
<a name="l00115"></a>00115 <span class="comment"> */</span>
<a name="l00116"></a><a class="code" href="vector_8h.html#a465a286010ac5724a37644eff2922d76">00116</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a465a286010ac5724a37644eff2922d76">Gcd</a>(Value a,Value b,Value *result) {
<a name="l00117"></a>00117 
<a name="l00118"></a>00118   Value acopy, bcopy;
<a name="l00119"></a>00119 
<a name="l00120"></a>00120   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(acopy);
<a name="l00121"></a>00121   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(bcopy);
<a name="l00122"></a>00122   <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(acopy,a);
<a name="l00123"></a>00123   <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(bcopy,b);
<a name="l00124"></a>00124   <span class="keywordflow">while</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(acopy)) { 
<a name="l00125"></a>00125     <a class="code" href="source_2arith_2arithmetique_8h.html#ae77f928488d756f77270649775dbdc1d">value_modulus</a>(*result,bcopy,acopy);      
<a name="l00126"></a>00126     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(bcopy,acopy);                     
<a name="l00127"></a>00127     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(acopy,*result);                   
<a name="l00128"></a>00128   }
<a name="l00129"></a>00129   <a class="code" href="source_2arith_2arithmetique_8h.html#a6eee595d027bdf64a6c529b5f138720f">value_absolute</a>(*result,bcopy);
<a name="l00130"></a>00130   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(acopy);
<a name="l00131"></a>00131   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(bcopy);
<a name="l00132"></a>00132 } <span class="comment">/* Gcd */</span>
<a name="l00133"></a>00133 
<a name="l00134"></a>00134 <span class="comment">/* </span>
<a name="l00135"></a>00135 <span class="comment"> * Return the smallest component index in &apos;p&apos; whose value is non-zero </span>
<a name="l00136"></a>00136 <span class="comment"> */</span>
<a name="l00137"></a><a class="code" href="vector_8h.html#ab719ec10095622cd0ad8024da53cdd4c">00137</a> <span class="keywordtype">int</span> <a class="code" href="vector_8c.html#ab719ec10095622cd0ad8024da53cdd4c">First_Non_Zero</a>(Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">unsigned</span> length) { 
<a name="l00138"></a>00138   
<a name="l00139"></a>00139   Value *cp;
<a name="l00140"></a>00140   <span class="keywordtype">int</span> i;
<a name="l00141"></a>00141   
<a name="l00142"></a>00142   cp = p;
<a name="l00143"></a>00143   <span class="keywordflow">for</span> (i=0;i&lt;length;i++) {
<a name="l00144"></a>00144     <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(*cp))
<a name="l00145"></a>00145       <span class="keywordflow">break</span>;
<a name="l00146"></a>00146     cp++;
<a name="l00147"></a>00147   }
<a name="l00148"></a>00148   <span class="keywordflow">return</span>((i==length) ? -1 : i );
<a name="l00149"></a>00149 } <span class="comment">/* First_Non_Zero */</span>
<a name="l00150"></a>00150 
<a name="l00151"></a>00151 <span class="comment">/* </span>
<a name="l00152"></a>00152 <span class="comment"> * Allocate memory space for Vector </span>
<a name="l00153"></a>00153 <span class="comment"> */</span>
<a name="l00154"></a><a class="code" href="vector_8h.html#a358c545236f58b1001479e4a69d318aa">00154</a> <a class="code" href="structVector.html">Vector</a> *<a class="code" href="vector_8c.html#a358c545236f58b1001479e4a69d318aa">Vector_Alloc</a>(<span class="keywordtype">unsigned</span> length) {
<a name="l00155"></a>00155 
<a name="l00156"></a>00156   <span class="keywordtype">int</span> i;
<a name="l00157"></a>00157   <a class="code" href="structVector.html">Vector</a> *vector;
<a name="l00158"></a>00158   
<a name="l00159"></a>00159   vector = (<a class="code" href="structVector.html">Vector</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="structVector.html">Vector</a>));
<a name="l00160"></a>00160   <span class="keywordflow">if</span> (!vector) {
<a name="l00161"></a>00161     <a class="code" href="errormsg_8c.html#a1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">&quot;Vector_Alloc&quot;</span>, <span class="stringliteral">&quot;outofmem&quot;</span>, <span class="stringliteral">&quot;out of memory space&quot;</span>);
<a name="l00162"></a>00162     <span class="keywordflow">return</span> 0;
<a name="l00163"></a>00163   }
<a name="l00164"></a>00164   vector-&gt;<a class="code" href="structVector.html#a424501dd99036dd1dc1c4e009c5b00f9">Size</a>=length;
<a name="l00165"></a>00165   vector-&gt;<a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>=(Value *)malloc(length * <span class="keyword">sizeof</span>(Value));
<a name="l00166"></a>00166   <span class="keywordflow">if</span> (!vector-&gt;<a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>) {
<a name="l00167"></a>00167     <a class="code" href="errormsg_8c.html#a1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">&quot;Vector_Alloc&quot;</span>, <span class="stringliteral">&quot;outofmem&quot;</span>, <span class="stringliteral">&quot;out of memory space&quot;</span>);
<a name="l00168"></a>00168     free(vector);
<a name="l00169"></a>00169     <span class="keywordflow">return</span> 0;
<a name="l00170"></a>00170   }
<a name="l00171"></a>00171   <span class="keywordflow">for</span>(i=0;i&lt;length;i++)
<a name="l00172"></a>00172     <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(vector-&gt;<a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[i]);
<a name="l00173"></a>00173   <span class="keywordflow">return</span> vector;
<a name="l00174"></a>00174 } <span class="comment">/* Vector_Alloc */</span>
<a name="l00175"></a>00175 
<a name="l00176"></a>00176 <span class="comment">/* </span>
<a name="l00177"></a>00177 <span class="comment"> * Free the memory space occupied by Vector </span>
<a name="l00178"></a>00178 <span class="comment"> */</span>
<a name="l00179"></a><a class="code" href="vector_8h.html#a055608d1a3726b7cb26e3e8074764ba0">00179</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a055608d1a3726b7cb26e3e8074764ba0">Vector_Free</a>(<a class="code" href="structVector.html">Vector</a> *vector) {
<a name="l00180"></a>00180   
<a name="l00181"></a>00181   <span class="keywordtype">int</span> i;
<a name="l00182"></a>00182 
<a name="l00183"></a>00183   <span class="keywordflow">if</span> (!vector) <span class="keywordflow">return</span>;
<a name="l00184"></a>00184   <span class="keywordflow">for</span>(i=0;i&lt;vector-&gt;<a class="code" href="structVector.html#a424501dd99036dd1dc1c4e009c5b00f9">Size</a>;i++) 
<a name="l00185"></a>00185     <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(vector-&gt;<a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[i]);
<a name="l00186"></a>00186   free(vector-&gt;<a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>);
<a name="l00187"></a>00187   free(vector);
<a name="l00188"></a>00188 } <span class="comment">/* Vector_Free */</span>
<a name="l00189"></a>00189 
<a name="l00190"></a>00190 <span class="comment">/* </span>
<a name="l00191"></a>00191 <span class="comment"> * Print the contents of a Vector </span>
<a name="l00192"></a>00192 <span class="comment"> */</span>
<a name="l00193"></a><a class="code" href="vector_8h.html#a18db93a926f15ef788bb0836f266f9b1">00193</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a1d9ab7791aa5fa2636c76f9d1c81349c">Vector_Print</a>(FILE *Dst, <span class="keyword">const</span> <span class="keywordtype">char</span> *Format, <a class="code" href="structVector.html">Vector</a> *vector)
<a name="l00194"></a>00194 {
<a name="l00195"></a>00195   <span class="keywordtype">int</span> i;
<a name="l00196"></a>00196   Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00197"></a>00197   <span class="keywordtype">unsigned</span> length;
<a name="l00198"></a>00198   
<a name="l00199"></a>00199   fprintf(Dst, <span class="stringliteral">&quot;%d\n&quot;</span>, length=vector-&gt;<a class="code" href="structVector.html#a424501dd99036dd1dc1c4e009c5b00f9">Size</a>);
<a name="l00200"></a>00200   p = vector-&gt;<a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>;
<a name="l00201"></a>00201   <span class="keywordflow">for</span> (i=0;i&lt;length;i++) {
<a name="l00202"></a>00202     <span class="keywordflow">if</span> (Format) {
<a name="l00203"></a>00203       <a class="code" href="source_2arith_2arithmetique_8h.html#ad34605b56b571830b928b50a74d618b7">value_print</a>(Dst,Format,*p++);
<a name="l00204"></a>00204     }  
<a name="l00205"></a>00205     <span class="keywordflow">else</span> {      
<a name="l00206"></a>00206       <a class="code" href="source_2arith_2arithmetique_8h.html#ad34605b56b571830b928b50a74d618b7">value_print</a>(Dst,<a class="code" href="types_8h.html#ae6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,*p++);
<a name="l00207"></a>00207     }  
<a name="l00208"></a>00208   }
<a name="l00209"></a>00209   fprintf(Dst, <span class="stringliteral">&quot;\n&quot;</span>);
<a name="l00210"></a>00210 } <span class="comment">/* Vector_Print */</span>
<a name="l00211"></a>00211 
<a name="l00212"></a>00212 <span class="comment">/* </span>
<a name="l00213"></a>00213 <span class="comment"> * Read the contents of a Vector </span>
<a name="l00214"></a>00214 <span class="comment"> */</span>
<a name="l00215"></a><a class="code" href="vector_8h.html#aa900a42f888c332893b86981141e8156">00215</a> <a class="code" href="structVector.html">Vector</a> *<a class="code" href="vector_8c.html#a419889434bd5beb853ddea6d3deff0b3">Vector_Read</a>() {
<a name="l00216"></a>00216   
<a name="l00217"></a>00217   <a class="code" href="structVector.html">Vector</a> *vector;
<a name="l00218"></a>00218   <span class="keywordtype">unsigned</span> length;
<a name="l00219"></a>00219   <span class="keywordtype">int</span> i;
<a name="l00220"></a>00220   <span class="keywordtype">char</span> str[1024];
<a name="l00221"></a>00221   Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00222"></a>00222   
<a name="l00223"></a>00223   scanf(<span class="stringliteral">&quot;%d&quot;</span>, &amp;length);
<a name="l00224"></a>00224   vector = <a class="code" href="vector_8c.html#a358c545236f58b1001479e4a69d318aa">Vector_Alloc</a>(length);
<a name="l00225"></a>00225   <span class="keywordflow">if</span> (!vector) {
<a name="l00226"></a>00226     <a class="code" href="errormsg_8c.html#a1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">&quot;Vector_Read&quot;</span>, <span class="stringliteral">&quot;outofmem&quot;</span>, <span class="stringliteral">&quot;out of memory space&quot;</span>);
<a name="l00227"></a>00227     <span class="keywordflow">return</span> 0;
<a name="l00228"></a>00228   }
<a name="l00229"></a>00229   p = vector-&gt;<a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>;
<a name="l00230"></a>00230   <span class="keywordflow">for</span> (i=0;i&lt;length;i++) {
<a name="l00231"></a>00231     scanf(<span class="stringliteral">&quot;%s&quot;</span>,str);
<a name="l00232"></a>00232     <a class="code" href="source_2arith_2arithmetique_8h.html#ab8a77ddf3765fd598f31d8ca2ac4705c">value_read</a>(*(p++),str);
<a name="l00233"></a>00233   }  
<a name="l00234"></a>00234   <span class="keywordflow">return</span> vector;
<a name="l00235"></a>00235 } <span class="comment">/* Vector_Read */</span>
<a name="l00236"></a>00236 
<a name="l00237"></a>00237 <span class="comment">/* </span>
<a name="l00238"></a>00238 <span class="comment"> * Assign &apos;n&apos; to each component of Vector &apos;p&apos; </span>
<a name="l00239"></a>00239 <span class="comment"> */</span>
<a name="l00240"></a><a class="code" href="vector_8h.html#a27ccb3ea01f3a496bb799fb99e9e3075">00240</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#a76f11d9a0a47b94f72c2d0e77fb32240">n</a>,<span class="keywordtype">unsigned</span> length) {
<a name="l00241"></a>00241   
<a name="l00242"></a>00242   Value *cp;
<a name="l00243"></a>00243   <span class="keywordtype">int</span> i;
<a name="l00244"></a>00244   
<a name="l00245"></a>00245   cp = p; 
<a name="l00246"></a>00246   <span class="keywordflow">for</span> (i=0;i&lt;length;i++) {
<a name="l00247"></a>00247     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(*cp,n);
<a name="l00248"></a>00248     cp++;
<a name="l00249"></a>00249   }
<a name="l00250"></a>00250   <span class="keywordflow">return</span>;
<a name="l00251"></a>00251 } <span class="comment">/* Vector_Set */</span>
<a name="l00252"></a>00252 
<a name="l00253"></a>00253 <span class="comment">/*</span>
<a name="l00254"></a>00254 <span class="comment"> * Exchange the components of the vectors &apos;p1&apos; and &apos;p2&apos; of length &apos;length&apos;</span>
<a name="l00255"></a>00255 <span class="comment"> */</span>
<a name="l00256"></a><a class="code" href="vector_8h.html#a88f4d69371f16d6d28e8a87c496b0730">00256</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a88f4d69371f16d6d28e8a87c496b0730">Vector_Exchange</a>(Value *p1, Value *p2, <span class="keywordtype">unsigned</span> length) {
<a name="l00257"></a>00257 
<a name="l00258"></a>00258   <span class="keywordtype">int</span> i;
<a name="l00259"></a>00259   
<a name="l00260"></a>00260   <span class="keywordflow">for</span>(i=0;i&lt;length;i++) {
<a name="l00261"></a>00261     <a class="code" href="source_2arith_2arithmetique_8h.html#a2ebe6e1a78900fb98fe3fa619cb4a4b7">value_swap</a>(p1[i],p2[i]);
<a name="l00262"></a>00262   }  
<a name="l00263"></a>00263   <span class="keywordflow">return</span>;
<a name="l00264"></a>00264 }
<a name="l00265"></a>00265 
<a name="l00266"></a>00266 <span class="comment">/*</span>
<a name="l00267"></a>00267 <span class="comment"> * Copy Vector &apos;p1&apos; to Vector &apos;p2&apos; </span>
<a name="l00268"></a>00268 <span class="comment"> */</span>
<a name="l00269"></a><a class="code" href="vector_8h.html#ab6eca9ad03a2f4a60dd79182289e0e0b">00269</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#ab6eca9ad03a2f4a60dd79182289e0e0b">Vector_Copy</a>(Value *p1,Value *p2,<span class="keywordtype">unsigned</span> length) {
<a name="l00270"></a>00270 
<a name="l00271"></a>00271   <span class="keywordtype">int</span> i;
<a name="l00272"></a>00272   Value *cp1, *cp2;
<a name="l00273"></a>00273 
<a name="l00274"></a>00274   cp1 = p1;
<a name="l00275"></a>00275   cp2 = p2;
<a name="l00276"></a>00276   
<a name="l00277"></a>00277   <span class="keywordflow">for</span>(i=0;i&lt;length;i++) 
<a name="l00278"></a>00278     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*cp2++,*cp1++);
<a name="l00279"></a>00279   
<a name="l00280"></a>00280   <span class="keywordflow">return</span>;
<a name="l00281"></a>00281 }
<a name="l00282"></a>00282   
<a name="l00283"></a>00283 <span class="comment">/* </span>
<a name="l00284"></a>00284 <span class="comment"> * Add two vectors &apos;p1&apos; and &apos;p2&apos; and store the result in &apos;p3&apos; </span>
<a name="l00285"></a>00285 <span class="comment"> */</span>
<a name="l00286"></a><a class="code" href="vector_8h.html#a97b02f83ad0a070d3da9be9d0e908af6">00286</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a97b02f83ad0a070d3da9be9d0e908af6">Vector_Add</a>(Value *p1,Value *p2,Value *p3,<span class="keywordtype">unsigned</span> length) {
<a name="l00287"></a>00287 
<a name="l00288"></a>00288   Value *cp1, *cp2, *cp3;
<a name="l00289"></a>00289   <span class="keywordtype">int</span> i;
<a name="l00290"></a>00290   
<a name="l00291"></a>00291   cp1=p1;
<a name="l00292"></a>00292   cp2=p2;
<a name="l00293"></a>00293   cp3=p3;
<a name="l00294"></a>00294   <span class="keywordflow">for</span> (i=0;i&lt;length;i++) {
<a name="l00295"></a>00295     
<a name="l00296"></a>00296     <span class="comment">/* *cp3++ = *cp1++ + *cp2++ */</span>
<a name="l00297"></a>00297     <a class="code" href="source_2arith_2arithmetique_8h.html#aea216a0e750144f0e6eb9b0a82583739">value_addto</a>(*cp3,*cp1,*cp2);
<a name="l00298"></a>00298     cp1++; cp2++; cp3++;
<a name="l00299"></a>00299   }
<a name="l00300"></a>00300 } <span class="comment">/* Vector_Add */</span>
<a name="l00301"></a>00301 
<a name="l00302"></a>00302 <span class="comment">/* </span>
<a name="l00303"></a>00303 <span class="comment"> * Subtract two vectors &apos;p1&apos; and &apos;p2&apos; and store the result in &apos;p3&apos; </span>
<a name="l00304"></a>00304 <span class="comment"> */</span>
<a name="l00305"></a><a class="code" href="vector_8h.html#a9d092d406f74e17de0907853cfc90ab7">00305</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a9d092d406f74e17de0907853cfc90ab7">Vector_Sub</a>(Value *p1,Value *p2,Value *p3,<span class="keywordtype">unsigned</span> length) {
<a name="l00306"></a>00306 
<a name="l00307"></a>00307   Value *cp1, *cp2, *cp3;       
<a name="l00308"></a>00308   <span class="keywordtype">int</span> i;
<a name="l00309"></a>00309   
<a name="l00310"></a>00310   cp1=p1;
<a name="l00311"></a>00311   cp2=p2;
<a name="l00312"></a>00312   cp3=p3;
<a name="l00313"></a>00313   <span class="keywordflow">for</span> (i=0;i&lt;length;i++) {
<a name="l00314"></a>00314     
<a name="l00315"></a>00315     <span class="comment">/* *cp3++= *cp1++ - *cp2++ */</span>
<a name="l00316"></a>00316     <a class="code" href="source_2arith_2arithmetique_8h.html#ae92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(*cp3,*cp1,*cp2);
<a name="l00317"></a>00317     cp1++; cp2++; cp3++;
<a name="l00318"></a>00318   }
<a name="l00319"></a>00319 } <span class="comment">/* Vector_Sub */</span>
<a name="l00320"></a>00320 
<a name="l00321"></a>00321 <span class="comment">/* </span>
<a name="l00322"></a>00322 <span class="comment"> * Compute Bitwise OR of Vectors &apos;p1&apos; and &apos;p2&apos; and store in &apos;p3&apos; </span>
<a name="l00323"></a>00323 <span class="comment"> */</span>
<a name="l00324"></a><a class="code" href="vector_8h.html#aff5b0922db0c224d19a65a933a24ae5a">00324</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#aff5b0922db0c224d19a65a933a24ae5a">Vector_Or</a>(Value *p1,Value *p2,Value *p3,<span class="keywordtype">unsigned</span> length) {
<a name="l00325"></a>00325 
<a name="l00326"></a>00326   Value *cp1, *cp2, *cp3;
<a name="l00327"></a>00327   <span class="keywordtype">int</span> i;
<a name="l00328"></a>00328   
<a name="l00329"></a>00329   cp1=p1;
<a name="l00330"></a>00330   cp2=p2;
<a name="l00331"></a>00331   cp3=p3;
<a name="l00332"></a>00332   <span class="keywordflow">for</span> (i=0;i&lt;length;i++) {
<a name="l00333"></a>00333     
<a name="l00334"></a>00334     <span class="comment">/* *cp3++=*cp1++ | *cp2++ */</span>
<a name="l00335"></a>00335     <a class="code" href="source_2arith_2arithmetique_8h.html#a1f761530f8c361092deeec7c0bb5550b">value_orto</a>(*cp3,*cp1,*cp2);
<a name="l00336"></a>00336     cp1++; cp2++; cp3++;
<a name="l00337"></a>00337   }
<a name="l00338"></a>00338 } <span class="comment">/* Vector_Or */</span>
<a name="l00339"></a>00339 
<a name="l00340"></a>00340 <span class="comment">/* </span>
<a name="l00341"></a>00341 <span class="comment"> * Scale Vector &apos;p1&apos; lambda times and store in &apos;p2&apos; </span>
<a name="l00342"></a>00342 <span class="comment"> */</span>
<a name="l00343"></a><a class="code" href="vector_8h.html#a14c75456dab7e1b9296fb4ec7b6ad3a5">00343</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a14c75456dab7e1b9296fb4ec7b6ad3a5">Vector_Scale</a>(Value *p1,Value *p2,Value lambda,<span class="keywordtype">unsigned</span> length) {
<a name="l00344"></a>00344   
<a name="l00345"></a>00345   Value *cp1, *cp2;
<a name="l00346"></a>00346   <span class="keywordtype">int</span> i;
<a name="l00347"></a>00347   
<a name="l00348"></a>00348   cp1=p1;
<a name="l00349"></a>00349   cp2=p2;
<a name="l00350"></a>00350   <span class="keywordflow">for</span> (i=0;i&lt;length;i++) {
<a name="l00351"></a>00351     
<a name="l00352"></a>00352     <span class="comment">/* *cp2++=*cp1++ * lambda */</span>
<a name="l00353"></a>00353     <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(*cp2,*cp1,lambda);
<a name="l00354"></a>00354     cp1++; cp2++;
<a name="l00355"></a>00355   }
<a name="l00356"></a>00356 } <span class="comment">/* Vector_Scale */</span>
<a name="l00357"></a>00357 
<a name="l00358"></a>00358 <span class="comment">/* </span>
<a name="l00359"></a>00359 <span class="comment"> * Antiscale Vector &apos;p1&apos; by lambda and store in &apos;p2&apos; </span>
<a name="l00360"></a>00360 <span class="comment"> * Assumes all elements of &apos;p1&apos; are divisble by lambda.</span>
<a name="l00361"></a>00361 <span class="comment"> */</span>
<a name="l00362"></a><a class="code" href="vector_8h.html#a95d6452a07b82054af71a14c686e66a8">00362</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a95d6452a07b82054af71a14c686e66a8">Vector_AntiScale</a>(Value *p1, Value *p2, Value lambda, <span class="keywordtype">unsigned</span> length)
<a name="l00363"></a>00363 {
<a name="l00364"></a>00364   <span class="keywordtype">int</span> i;
<a name="l00365"></a>00365   
<a name="l00366"></a>00366   <span class="keywordflow">for</span> (i = 0; i &lt; length; i++)
<a name="l00367"></a>00367     <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(p2[i], p1[i], lambda);
<a name="l00368"></a>00368 } <span class="comment">/* Vector_AntiScale */</span>
<a name="l00369"></a>00369 
<a name="l00370"></a>00370 <span class="comment">/*</span>
<a name="l00371"></a>00371 <span class="comment"> * Puts negative of &apos;p1&apos; in &apos;p2&apos;</span>
<a name="l00372"></a>00372 <span class="comment"> */</span>
<a name="l00373"></a><a class="code" href="vector_8h.html#a01023ba653c09bf99fe29e5f9d958bc6">00373</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#ae572a02f9c8cd14b0ca8771c40dcaf75">Vector_Oppose</a>(Value *p1, Value *p2, <span class="keywordtype">unsigned</span> len)
<a name="l00374"></a>00374 {
<a name="l00375"></a>00375   <span class="keywordtype">unsigned</span> i;
<a name="l00376"></a>00376 
<a name="l00377"></a>00377   <span class="keywordflow">for</span> (i = 0; i &lt; len; ++i)
<a name="l00378"></a>00378     <a class="code" href="source_2arith_2arithmetique_8h.html#a0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>(p2[i], p1[i]);
<a name="l00379"></a>00379 }
<a name="l00380"></a>00380 
<a name="l00381"></a>00381 <span class="comment">/* </span>
<a name="l00382"></a>00382 <span class="comment"> * Return the inner product of the two Vectors &apos;p1&apos; and &apos;p2&apos; </span>
<a name="l00383"></a>00383 <span class="comment"> */</span>
<a name="l00384"></a><a class="code" href="vector_8h.html#a13dd31cb3fc22b470303393a0f25d0e6">00384</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a29ab9dcdb0a2666d54c5698d5e3a802f">Inner_Product</a>(Value *p1, Value *p2, <span class="keywordtype">unsigned</span> length, Value *ip)
<a name="l00385"></a>00385 {
<a name="l00386"></a>00386   <span class="keywordtype">int</span> i;
<a name="l00387"></a>00387 
<a name="l00388"></a>00388   <span class="keywordflow">if</span> (length != 0)
<a name="l00389"></a>00389     <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(*ip, p1[0], p2[0]);
<a name="l00390"></a>00390   <span class="keywordflow">else</span>
<a name="l00391"></a>00391     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(*ip, 0);
<a name="l00392"></a>00392   <span class="keywordflow">for</span>(i = 1; i &lt; length; i++)
<a name="l00393"></a>00393     <a class="code" href="source_2arith_2arithmetique_8h.html#a9900fbd029b36f5887e587642a064a52">value_addmul</a>(*ip, p1[i], p2[i]);
<a name="l00394"></a>00394 } <span class="comment">/* Inner_Product */</span>
<a name="l00395"></a>00395 
<a name="l00396"></a>00396 <span class="comment">/* </span>
<a name="l00397"></a>00397 <span class="comment"> * Return the maximum of the components of &apos;p&apos; </span>
<a name="l00398"></a>00398 <span class="comment"> */</span>
<a name="l00399"></a><a class="code" href="vector_8h.html#a7f5f9d1cf653109f64ca0a1877f8bed0">00399</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a4ff4221372f8458c26433046521d096d">Vector_Max</a>(Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">unsigned</span> length, Value *<a class="code" href="verif__ehrhart_8c.html#a76af106aaa860ca001b28491fa8e046c">max</a>) {
<a name="l00400"></a>00400   
<a name="l00401"></a>00401   Value *cp;
<a name="l00402"></a>00402   <span class="keywordtype">int</span> i;
<a name="l00403"></a>00403 
<a name="l00404"></a>00404   cp=p;
<a name="l00405"></a>00405   <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*max,*cp);
<a name="l00406"></a>00406   cp++;
<a name="l00407"></a>00407   <span class="keywordflow">for</span> (i=1;i&lt;length;i++) {
<a name="l00408"></a>00408     <a class="code" href="source_2arith_2arithmetique_8h.html#a16c10b8c252986ace3112e0e29806862">value_maximum</a>(*max,*max,*cp);
<a name="l00409"></a>00409     cp++;
<a name="l00410"></a>00410   }
<a name="l00411"></a>00411 } <span class="comment">/* Vector_Max */</span>
<a name="l00412"></a>00412 
<a name="l00413"></a>00413 <span class="comment">/* </span>
<a name="l00414"></a>00414 <span class="comment"> * Return the minimum of the components of Vector &apos;p&apos; </span>
<a name="l00415"></a>00415 <span class="comment"> */</span>
<a name="l00416"></a><a class="code" href="vector_8h.html#a85c7eea5092f5fc690bbfcb2496d3029">00416</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#af5a4710a73ea4aef5bfdc911997e44f2">Vector_Min</a>(Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">unsigned</span> length,Value *<a class="code" href="verif__ehrhart_8c.html#a1c0ed9242a98f138b59c76f8454cfaa6">min</a>) {
<a name="l00417"></a>00417   
<a name="l00418"></a>00418   Value *cp;
<a name="l00419"></a>00419   <span class="keywordtype">int</span> i;
<a name="l00420"></a>00420 
<a name="l00421"></a>00421   cp=p;
<a name="l00422"></a>00422   <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*min,*cp);
<a name="l00423"></a>00423   cp++;
<a name="l00424"></a>00424   <span class="keywordflow">for</span> (i=1;i&lt;length;i++) {
<a name="l00425"></a>00425     <a class="code" href="source_2arith_2arithmetique_8h.html#a9fbcdc6197a1265592e07971b96697c1">value_minimum</a>(*min,*min,*cp);
<a name="l00426"></a>00426     cp++;
<a name="l00427"></a>00427   }
<a name="l00428"></a>00428   <span class="keywordflow">return</span>;
<a name="l00429"></a>00429 } <span class="comment">/* Vector_Min */</span>
<a name="l00430"></a>00430 
<a name="l00431"></a>00431 <span class="comment">/* </span>
<a name="l00432"></a>00432 <span class="comment"> * Given Vectors &apos;p1&apos; and &apos;p2&apos;, return Vector &apos;p3&apos; = lambda * p1 + mu * p2. </span>
<a name="l00433"></a>00433 <span class="comment"> */</span>
<a name="l00434"></a><a class="code" href="vector_8h.html#a4700bd41bb9179b23deb7ab9d80a463d">00434</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a4700bd41bb9179b23deb7ab9d80a463d">Vector_Combine</a>(Value *p1, Value *p2, Value *p3, Value lambda, Value mu,
<a name="l00435"></a>00435                     <span class="keywordtype">unsigned</span> length)
<a name="l00436"></a>00436 {
<a name="l00437"></a>00437   Value tmp;
<a name="l00438"></a>00438   <span class="keywordtype">int</span> i;
<a name="l00439"></a>00439   
<a name="l00440"></a>00440   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp);
<a name="l00441"></a>00441   <span class="keywordflow">for</span> (i = 0; i &lt; length; i++) {
<a name="l00442"></a>00442     <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(tmp, lambda, p1[i]);
<a name="l00443"></a>00443     <a class="code" href="source_2arith_2arithmetique_8h.html#a9900fbd029b36f5887e587642a064a52">value_addmul</a>(tmp, mu, p2[i]);
<a name="l00444"></a>00444     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(p3[i], tmp);
<a name="l00445"></a>00445   }
<a name="l00446"></a>00446   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00447"></a>00447   <span class="keywordflow">return</span>;
<a name="l00448"></a>00448 } <span class="comment">/* Vector_Combine */</span>
<a name="l00449"></a>00449 
<a name="l00450"></a>00450 <span class="comment">/* </span>
<a name="l00451"></a>00451 <span class="comment"> * Return 1 if &apos;Vec1&apos; equals &apos;Vec2&apos;, otherwise return 0 </span>
<a name="l00452"></a>00452 <span class="comment"> */</span>
<a name="l00453"></a><a class="code" href="vector_8h.html#a29ed40e88da2f079a8fcd2b7b4c4dbeb">00453</a> <span class="keywordtype">int</span> <a class="code" href="vector_8c.html#a29ed40e88da2f079a8fcd2b7b4c4dbeb">Vector_Equal</a>(Value *Vec1, Value *Vec2, <span class="keywordtype">unsigned</span> <a class="code" href="polyparam_8c.html#a76f11d9a0a47b94f72c2d0e77fb32240">n</a>)
<a name="l00454"></a>00454 {
<a name="l00455"></a>00455   <span class="keywordtype">int</span> i;
<a name="l00456"></a>00456 
<a name="l00457"></a>00457   <span class="keywordflow">for</span> (i = 0; i &lt; n; ++i)
<a name="l00458"></a>00458     <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a8092395b58522bbac9f2c8a1ee14c10c">value_ne</a>(Vec1[i], Vec2[i]))
<a name="l00459"></a>00459       <span class="keywordflow">return</span> 0;
<a name="l00460"></a>00460 
<a name="l00461"></a>00461   <span class="keywordflow">return</span> 1;
<a name="l00462"></a>00462 } <span class="comment">/* Vector_Equal */</span>
<a name="l00463"></a>00463 
<a name="l00464"></a>00464 <span class="comment">/* </span>
<a name="l00465"></a>00465 <span class="comment"> * Return the component of &apos;p&apos; with minimum non-zero absolute value. &apos;index&apos;</span>
<a name="l00466"></a>00466 <span class="comment"> * points to the component index that has the minimum value. If no such value</span>
<a name="l00467"></a>00467 <span class="comment"> * and index is found, Value 1 is returned.</span>
<a name="l00468"></a>00468 <span class="comment"> */</span>
<a name="l00469"></a><a class="code" href="vector_8h.html#a535dbe4e54df0076e413dd6ae4aa854e">00469</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#aa27ec6b9fd1c1a6bf4a96bdb67c02619">Vector_Min_Not_Zero</a>(Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">unsigned</span> length,<span class="keywordtype">int</span> *index,Value *<a class="code" href="verif__ehrhart_8c.html#a1c0ed9242a98f138b59c76f8454cfaa6">min</a>)
<a name="l00470"></a>00470 {
<a name="l00471"></a>00471   Value aux;
<a name="l00472"></a>00472   <span class="keywordtype">int</span> i;
<a name="l00473"></a>00473   
<a name="l00474"></a>00474   
<a name="l00475"></a>00475   i = <a class="code" href="vector_8c.html#ab719ec10095622cd0ad8024da53cdd4c">First_Non_Zero</a>(p, length);
<a name="l00476"></a>00476   <span class="keywordflow">if</span> (i == -1) {
<a name="l00477"></a>00477     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(*min,1);
<a name="l00478"></a>00478     <span class="keywordflow">return</span>;
<a name="l00479"></a>00479   }
<a name="l00480"></a>00480   *index = i;
<a name="l00481"></a>00481   <a class="code" href="source_2arith_2arithmetique_8h.html#a6eee595d027bdf64a6c529b5f138720f">value_absolute</a>(*min, p[i]);
<a name="l00482"></a>00482   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(aux);
<a name="l00483"></a>00483   <span class="keywordflow">for</span> (i = i+1; i &lt; length; i++) {
<a name="l00484"></a>00484     <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(p[i]))
<a name="l00485"></a>00485       <span class="keywordflow">continue</span>;
<a name="l00486"></a>00486     <a class="code" href="source_2arith_2arithmetique_8h.html#a6eee595d027bdf64a6c529b5f138720f">value_absolute</a>(aux, p[i]);
<a name="l00487"></a>00487     <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#ad87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(aux,*min)) {
<a name="l00488"></a>00488       <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*min,aux);
<a name="l00489"></a>00489       *index = i;
<a name="l00490"></a>00490     }  
<a name="l00491"></a>00491   }
<a name="l00492"></a>00492   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(aux);
<a name="l00493"></a>00493 } <span class="comment">/* Vector_Min_Not_Zero */</span>
<a name="l00494"></a>00494 
<a name="l00495"></a>00495 <span class="comment">/* </span>
<a name="l00496"></a>00496 <span class="comment"> * Return the GCD of components of Vector &apos;p&apos; </span>
<a name="l00497"></a>00497 <span class="comment"> */</span>
<a name="l00498"></a><a class="code" href="vector_8h.html#a6ec5266cc0b06792d8a7a35060df7808">00498</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">unsigned</span> length,Value *<a class="code" href="verif__ehrhart_8c.html#a1c0ed9242a98f138b59c76f8454cfaa6">min</a>) {
<a name="l00499"></a>00499   
<a name="l00500"></a>00500   Value *q,*cq, *cp;
<a name="l00501"></a>00501   <span class="keywordtype">int</span> i, Not_Zero, Index_Min=0;
<a name="l00502"></a>00502   
<a name="l00503"></a>00503   q  = (Value *)malloc(length*<span class="keyword">sizeof</span>(Value));
<a name="l00504"></a>00504 
<a name="l00505"></a>00505   <span class="comment">/* Initialize all the &apos;Value&apos; variables */</span>
<a name="l00506"></a>00506   <span class="keywordflow">for</span>(i=0;i&lt;length;i++)
<a name="l00507"></a>00507     <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(q[i]);
<a name="l00508"></a>00508   
<a name="l00509"></a>00509   <span class="comment">/* &apos;cp&apos; points to vector &apos;p&apos; and cq points to vector &apos;q&apos; that holds the */</span>
<a name="l00510"></a>00510   <span class="comment">/* absolute value of elements of vector &apos;p&apos;.                            */</span>
<a name="l00511"></a>00511   cp=p;
<a name="l00512"></a>00512   <span class="keywordflow">for</span> (cq = q,i=0;i&lt;length;i++) {
<a name="l00513"></a>00513     <a class="code" href="source_2arith_2arithmetique_8h.html#a6eee595d027bdf64a6c529b5f138720f">value_absolute</a>(*cq,*cp);    
<a name="l00514"></a>00514     cq++;
<a name="l00515"></a>00515     cp++;
<a name="l00516"></a>00516   }
<a name="l00517"></a>00517   <span class="keywordflow">do</span> {   
<a name="l00518"></a>00518     <a class="code" href="vector_8c.html#aa27ec6b9fd1c1a6bf4a96bdb67c02619">Vector_Min_Not_Zero</a>(q,length,&amp;Index_Min,min);
<a name="l00519"></a>00519     
<a name="l00520"></a>00520     <span class="comment">/* if (*min != 1) */</span>
<a name="l00521"></a>00521     <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(*min)) {
<a name="l00522"></a>00522       
<a name="l00523"></a>00523       cq=q;
<a name="l00524"></a>00524       Not_Zero=0;
<a name="l00525"></a>00525       <span class="keywordflow">for</span> (i=0;i&lt;length;i++,cq++)
<a name="l00526"></a>00526         <span class="keywordflow">if</span> (i!=Index_Min) {
<a name="l00527"></a>00527           
<a name="l00528"></a>00528           <span class="comment">/* Not_Zero |= (*cq %= *min) */</span>
<a name="l00529"></a>00529           <a class="code" href="source_2arith_2arithmetique_8h.html#ae77f928488d756f77270649775dbdc1d">value_modulus</a>(*cq,*cq,*min);
<a name="l00530"></a>00530           Not_Zero |= <a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(*cq);
<a name="l00531"></a>00531         }
<a name="l00532"></a>00532     } 
<a name="l00533"></a>00533     <span class="keywordflow">else</span> 
<a name="l00534"></a>00534       <span class="keywordflow">break</span>;
<a name="l00535"></a>00535   } <span class="keywordflow">while</span> (Not_Zero);
<a name="l00536"></a>00536   
<a name="l00537"></a>00537   <span class="comment">/* Clear all the &apos;Value&apos; variables */</span>
<a name="l00538"></a>00538   <span class="keywordflow">for</span>(i=0;i&lt;length;i++)
<a name="l00539"></a>00539     <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(q[i]);
<a name="l00540"></a>00540   free(q);
<a name="l00541"></a>00541 } <span class="comment">/* Vector_Gcd */</span>
<a name="l00542"></a>00542 
<a name="l00543"></a>00543 <span class="comment">/* </span>
<a name="l00544"></a>00544 <span class="comment"> * Given vectors &apos;p1&apos;, &apos;p2&apos;, and a pointer to a function returning &apos;Value type,</span>
<a name="l00545"></a>00545 <span class="comment"> * compute p3[i] = f(p1[i],p2[i]).  </span>
<a name="l00546"></a>00546 <span class="comment"> */</span> 
<a name="l00547"></a><a class="code" href="vector_8h.html#ad423599c93d4db5d4d89ea716f590d47">00547</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#ad423599c93d4db5d4d89ea716f590d47">Vector_Map</a>(Value *p1,Value *p2,Value *p3,<span class="keywordtype">unsigned</span> length,
<a name="l00548"></a>00548                 Value *(*f)(Value,Value))
<a name="l00549"></a>00549 {
<a name="l00550"></a>00550   Value *cp1, *cp2, *cp3;
<a name="l00551"></a>00551   <span class="keywordtype">int</span> i;
<a name="l00552"></a>00552   
<a name="l00553"></a>00553   cp1=p1;
<a name="l00554"></a>00554   cp2=p2;
<a name="l00555"></a>00555   cp3=p3;
<a name="l00556"></a>00556   <span class="keywordflow">for</span>(i=0;i&lt;length;i++) {
<a name="l00557"></a>00557     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*cp3,*(*f)(*cp1, *cp2));
<a name="l00558"></a>00558     cp1++; cp2++; cp3++;
<a name="l00559"></a>00559   }
<a name="l00560"></a>00560   <span class="keywordflow">return</span>;
<a name="l00561"></a>00561 } <span class="comment">/* Vector_Map */</span>
<a name="l00562"></a>00562 
<a name="l00563"></a>00563 <span class="comment">/* </span>
<a name="l00564"></a>00564 <span class="comment"> * Reduce a vector by dividing it by GCD. There is no restriction on </span>
<a name="l00565"></a>00565 <span class="comment"> * components of Vector &apos;p&apos;. Making the last element positive is *not* OK</span>
<a name="l00566"></a>00566 <span class="comment"> * for equalities. </span>
<a name="l00567"></a>00567 <span class="comment"> */</span>
<a name="l00568"></a><a class="code" href="vector_8h.html#a9e3e9df020a7c7b0ad95baffed7ed5c9">00568</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a9e3e9df020a7c7b0ad95baffed7ed5c9">Vector_Normalize</a>(Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">unsigned</span> length) {
<a name="l00569"></a>00569   
<a name="l00570"></a>00570   Value gcd;
<a name="l00571"></a>00571   <span class="keywordtype">int</span> i;
<a name="l00572"></a>00572   
<a name="l00573"></a>00573   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(gcd);
<a name="l00574"></a>00574 
<a name="l00575"></a>00575   <a class="code" href="vector_8c.html#a801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(p,length,&amp;gcd);
<a name="l00576"></a>00576   
<a name="l00577"></a>00577   <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(gcd))
<a name="l00578"></a>00578     <a class="code" href="vector_8c.html#a95d6452a07b82054af71a14c686e66a8">Vector_AntiScale</a>(p, p, gcd, length);
<a name="l00579"></a>00579 
<a name="l00580"></a>00580   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(gcd);
<a name="l00581"></a>00581 } <span class="comment">/* Vector_Normalize */</span>
<a name="l00582"></a>00582 
<a name="l00583"></a>00583 <span class="comment">/* </span>
<a name="l00584"></a>00584 <span class="comment"> * Reduce a vector by dividing it by GCD and making sure its pos-th </span>
<a name="l00585"></a>00585 <span class="comment"> * element is positive.    </span>
<a name="l00586"></a>00586 <span class="comment"> */</span>
<a name="l00587"></a><a class="code" href="vector_8h.html#a4095f8badebbf9903f88da363af136f8">00587</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a4095f8badebbf9903f88da363af136f8">Vector_Normalize_Positive</a>(Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">int</span> length,<span class="keywordtype">int</span> pos) {
<a name="l00588"></a>00588   
<a name="l00589"></a>00589   Value gcd;
<a name="l00590"></a>00590   <span class="keywordtype">int</span> i;
<a name="l00591"></a>00591   
<a name="l00592"></a>00592   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(gcd);
<a name="l00593"></a>00593   <a class="code" href="vector_8c.html#a801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(p,length,&amp;gcd);
<a name="l00594"></a>00594   <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#af031da52c8a160fd1ee6e4c793f8c78a">value_neg_p</a>(p[pos]))
<a name="l00595"></a>00595     <a class="code" href="source_2arith_2arithmetique_8h.html#a0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>(gcd,gcd);
<a name="l00596"></a>00596   <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(gcd))
<a name="l00597"></a>00597     <a class="code" href="vector_8c.html#a95d6452a07b82054af71a14c686e66a8">Vector_AntiScale</a>(p, p, gcd, length);
<a name="l00598"></a>00598   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(gcd);
<a name="l00599"></a>00599 } <span class="comment">/* Vector_Normalize_Positive */</span>
<a name="l00600"></a>00600 
<a name="l00601"></a>00601 <span class="comment">/* </span>
<a name="l00602"></a>00602 <span class="comment"> * Reduce &apos;p&apos; by operating binary function on its components successively </span>
<a name="l00603"></a>00603 <span class="comment"> */</span>
<a name="l00604"></a><a class="code" href="vector_8h.html#a01937199819907cca22e86438f08624d">00604</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a9d2676edc416e3d26a79ba431ac75fa2">Vector_Reduce</a>(Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">unsigned</span> length,<span class="keywordtype">void</span>(*f)(Value,Value *),Value *r) {
<a name="l00605"></a>00605   
<a name="l00606"></a>00606   Value *cp;
<a name="l00607"></a>00607   <span class="keywordtype">int</span> i;
<a name="l00608"></a>00608   
<a name="l00609"></a>00609   cp = p;
<a name="l00610"></a>00610   <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*r,*cp);
<a name="l00611"></a>00611   <span class="keywordflow">for</span>(i=1;i&lt;length;i++) {
<a name="l00612"></a>00612     cp++;
<a name="l00613"></a>00613     (*f)(*cp,r);
<a name="l00614"></a>00614   }
<a name="l00615"></a>00615 } <span class="comment">/* Vector_Reduce */</span>
<a name="l00616"></a>00616 
<a name="l00617"></a>00617 <span class="comment">/* </span>
<a name="l00618"></a>00618 <span class="comment"> * Sort the components of a Vector &apos;vector&apos; using Heap Sort. </span>
<a name="l00619"></a>00619 <span class="comment"> */</span>
<a name="l00620"></a><a class="code" href="vector_8h.html#aaa8d4e874a24f79d91d1557fe4238655">00620</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#aaa8d4e874a24f79d91d1557fe4238655">Vector_Sort</a>(Value *vector,<span class="keywordtype">unsigned</span> <a class="code" href="polyparam_8c.html#a76f11d9a0a47b94f72c2d0e77fb32240">n</a>) {
<a name="l00621"></a>00621   
<a name="l00622"></a>00622   <span class="keywordtype">int</span> i, j;
<a name="l00623"></a>00623   Value temp;
<a name="l00624"></a>00624   Value *current_node=(Value *)0;
<a name="l00625"></a>00625   Value *left_son,*right_son;
<a name="l00626"></a>00626 
<a name="l00627"></a>00627   <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(temp);
<a name="l00628"></a>00628 
<a name="l00629"></a>00629   <span class="keywordflow">for</span> (i=(n-1)/2;i&gt;=0;i--) { 
<a name="l00630"></a>00630     
<a name="l00631"></a>00631     <span class="comment">/* Phase 1 : build the heap */</span>
<a name="l00632"></a>00632     j=i;
<a name="l00633"></a>00633     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(temp,*(vector+i));
<a name="l00634"></a>00634     
<a name="l00635"></a>00635     <span class="comment">/* While not a leaf */</span>
<a name="l00636"></a>00636     <span class="keywordflow">while</span> (j&lt;=(n-1)/2) {
<a name="l00637"></a>00637       current_node = vector+j;
<a name="l00638"></a>00638       left_son = vector+(j&lt;&lt;1)+1;
<a name="l00639"></a>00639 
<a name="l00640"></a>00640       <span class="comment">/* If only one son */</span>
<a name="l00641"></a>00641       <span class="keywordflow">if</span> ((j&lt;&lt;1)+2&gt;=n) {
<a name="l00642"></a>00642         <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#ad87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(temp,*left_son)) {
<a name="l00643"></a>00643           <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*current_node,*left_son);
<a name="l00644"></a>00644           j=(j&lt;&lt;1)+1;
<a name="l00645"></a>00645         }
<a name="l00646"></a>00646         <span class="keywordflow">else</span>
<a name="l00647"></a>00647           <span class="keywordflow">break</span>;
<a name="l00648"></a>00648       }
<a name="l00649"></a>00649       <span class="keywordflow">else</span> {  
<a name="l00650"></a>00650         
<a name="l00651"></a>00651         <span class="comment">/* If two sons */</span>
<a name="l00652"></a>00652         right_son=left_son+1;
<a name="l00653"></a>00653         <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#ad87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(*right_son,*left_son)) {
<a name="l00654"></a>00654           <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#ad87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(temp,*left_son)) {
<a name="l00655"></a>00655             <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*current_node,*left_son);
<a name="l00656"></a>00656             j=(j&lt;&lt;1)+1;
<a name="l00657"></a>00657           }
<a name="l00658"></a>00658           <span class="keywordflow">else</span>
<a name="l00659"></a>00659             <span class="keywordflow">break</span>;
<a name="l00660"></a>00660         }
<a name="l00661"></a>00661         <span class="keywordflow">else</span> {
<a name="l00662"></a>00662           <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#ad87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(temp,*right_son)) {
<a name="l00663"></a>00663             <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*current_node,*right_son );
<a name="l00664"></a>00664             j=(j&lt;&lt;1)+2;
<a name="l00665"></a>00665           }
<a name="l00666"></a>00666           <span class="keywordflow">else</span>
<a name="l00667"></a>00667             <span class="keywordflow">break</span>;
<a name="l00668"></a>00668         }
<a name="l00669"></a>00669       }
<a name="l00670"></a>00670     }
<a name="l00671"></a>00671     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*current_node,temp);
<a name="l00672"></a>00672   }
<a name="l00673"></a>00673   <span class="keywordflow">for</span>(i=n-1;i&gt;0;i--) { 
<a name="l00674"></a>00674     
<a name="l00675"></a>00675     <span class="comment">/* Phase 2 : sort the heap */</span>
<a name="l00676"></a>00676     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(temp, *(vector+i));
<a name="l00677"></a>00677     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*(vector+i),*vector);
<a name="l00678"></a>00678     j=0;
<a name="l00679"></a>00679     
<a name="l00680"></a>00680     <span class="comment">/* While not a leaf */</span>
<a name="l00681"></a>00681     <span class="keywordflow">while</span> (j&lt;i/2) {     
<a name="l00682"></a>00682       current_node=vector+j;
<a name="l00683"></a>00683       left_son=vector+(j&lt;&lt;1)+1;
<a name="l00684"></a>00684       
<a name="l00685"></a>00685       <span class="comment">/* If only one son */</span>
<a name="l00686"></a>00686       <span class="keywordflow">if</span> ((j&lt;&lt;1)+2&gt;=i) {                
<a name="l00687"></a>00687         <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#ad87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(temp,*left_son)) {
<a name="l00688"></a>00688           <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*current_node,*left_son);
<a name="l00689"></a>00689           j=(j&lt;&lt;1)+1;
<a name="l00690"></a>00690         }
<a name="l00691"></a>00691         <span class="keywordflow">else</span>
<a name="l00692"></a>00692           <span class="keywordflow">break</span>;
<a name="l00693"></a>00693       }
<a name="l00694"></a>00694       <span class="keywordflow">else</span> {
<a name="l00695"></a>00695         
<a name="l00696"></a>00696         <span class="comment">/* If two sons */</span>
<a name="l00697"></a>00697         right_son=left_son+1;
<a name="l00698"></a>00698         <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#ad87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(*right_son,*left_son)) {
<a name="l00699"></a>00699           <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#ad87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(temp,*left_son)) {
<a name="l00700"></a>00700             <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*current_node,*left_son);
<a name="l00701"></a>00701             j=(j&lt;&lt;1)+1;
<a name="l00702"></a>00702           }
<a name="l00703"></a>00703           <span class="keywordflow">else</span>
<a name="l00704"></a>00704             <span class="keywordflow">break</span>;
<a name="l00705"></a>00705         }
<a name="l00706"></a>00706         <span class="keywordflow">else</span> {
<a name="l00707"></a>00707           <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#ad87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(temp,*right_son)) {
<a name="l00708"></a>00708             <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*current_node,*right_son );
<a name="l00709"></a>00709             j=(j&lt;&lt;1)+2;
<a name="l00710"></a>00710           }
<a name="l00711"></a>00711           <span class="keywordflow">else</span>
<a name="l00712"></a>00712             <span class="keywordflow">break</span>;
<a name="l00713"></a>00713         }
<a name="l00714"></a>00714       }
<a name="l00715"></a>00715     }
<a name="l00716"></a>00716     <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(*current_node,temp);
<a name="l00717"></a>00717   }
<a name="l00718"></a>00718   <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(temp);
<a name="l00719"></a>00719   <span class="keywordflow">return</span>;
<a name="l00720"></a>00720 } <span class="comment">/* Vector_Sort */</span>
<a name="l00721"></a>00721 
<a name="l00722"></a>00722 <span class="comment">/*</span>
<a name="l00723"></a>00723 <span class="comment"> * Replaces constraint a x &gt;= c by x &gt;= ceil(c/a)</span>
<a name="l00724"></a>00724 <span class="comment"> * where &quot;a&quot; is a common factor in the coefficients</span>
<a name="l00725"></a>00725 <span class="comment"> * old is the constraint; v points to an initialized</span>
<a name="l00726"></a>00726 <span class="comment"> * value that this procedure can use.</span>
<a name="l00727"></a>00727 <span class="comment"> * Return non-zero if something changed.</span>
<a name="l00728"></a>00728 <span class="comment"> * Result is placed in newp.</span>
<a name="l00729"></a>00729 <span class="comment"> */</span>
<a name="l00730"></a><a class="code" href="vector_8h.html#ab6ebdf5bd76b2cad49156f88b9c3f6b6">00730</a> <span class="keywordtype">int</span> <a class="code" href="vector_8c.html#ae6b570a9b1d0273b6cad4dab66fd9c71">ConstraintSimplify</a>(Value *old, Value *newp, <span class="keywordtype">int</span> len, Value* v)
<a name="l00731"></a>00731 {
<a name="l00732"></a>00732     <span class="comment">/* first remove common factor of all coefficients (including &quot;c&quot;) */</span>
<a name="l00733"></a>00733     <a class="code" href="vector_8c.html#a801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(old+1, len - 1, v);
<a name="l00734"></a>00734     <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(*v))
<a name="l00735"></a>00735         <a class="code" href="vector_8c.html#a95d6452a07b82054af71a14c686e66a8">Vector_AntiScale</a>(old+1, newp+1, *v, len-1);
<a name="l00736"></a>00736 
<a name="l00737"></a>00737     <a class="code" href="vector_8c.html#a801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(old+1, len - 2, v);
<a name="l00738"></a>00738 
<a name="l00739"></a>00739     <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a61db0ba9ba925615ec70eb92e40b9ef4">value_one_p</a>(*v))
<a name="l00740"></a>00740         <span class="keywordflow">return</span> 0;
<a name="l00741"></a>00741 
<a name="l00742"></a>00742     <a class="code" href="vector_8c.html#a95d6452a07b82054af71a14c686e66a8">Vector_AntiScale</a>(old+1, newp+1, *v, len-2);
<a name="l00743"></a>00743     <a class="code" href="source_2arith_2arithmetique_8h.html#a1d5fd16549d53f259c2e7699a22045cb">value_pdivision</a>(newp[len-1], old[len-1], *v);
<a name="l00744"></a>00744     <span class="keywordflow">return</span> 1;
<a name="l00745"></a>00745 }
<a name="l00746"></a>00746 
<a name="l00747"></a><a class="code" href="vector_8h.html#a4f5f43ecdfb5c63f8c3ecbf875887869">00747</a> <span class="keywordtype">int</span> <a class="code" href="vector_8c.html#a4f5f43ecdfb5c63f8c3ecbf875887869">Vector_IsZero</a>(Value * v, <span class="keywordtype">unsigned</span> length) {
<a name="l00748"></a>00748   <span class="keywordtype">unsigned</span> i;
<a name="l00749"></a>00749   <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(v[0])) <span class="keywordflow">return</span> 0;
<a name="l00750"></a>00750   <span class="keywordflow">else</span> {
<a name="l00751"></a>00751     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(v[0], 1);
<a name="l00752"></a>00752     <span class="keywordflow">for</span> (i=length-1; <a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(v[i]); i--);
<a name="l00753"></a>00753     <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(v[0], 0);
<a name="l00754"></a>00754     <span class="keywordflow">return</span> (i==0);
<a name="l00755"></a>00755   }
<a name="l00756"></a>00756 }
<a name="l00757"></a>00757 
<a name="l00758"></a><a class="code" href="vector_8c.html#a6c8469dfe973ac952cf40394bd2c160b">00758</a> <span class="preprocessor">#define MAX_CACHE_SIZE 20</span>
<a name="l00759"></a>00759 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keyword">struct </span>{
<a name="l00760"></a><a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">00760</a>   Value *p;
<a name="l00761"></a><a class="code" href="vector_8c.html#a439227feff9d7f55384e8780cfc2eb82">00761</a>   <span class="keywordtype">int</span>   <a class="code" href="vector_8c.html#a439227feff9d7f55384e8780cfc2eb82">size</a>;
<a name="l00762"></a>00762 } <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[<a class="code" href="vector_8c.html#a6c8469dfe973ac952cf40394bd2c160b">MAX_CACHE_SIZE</a>];
<a name="l00763"></a><a class="code" href="vector_8c.html#adc2cfac3a357c5424aafa9d351a2e6ea">00763</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="vector_8c.html#adc2cfac3a357c5424aafa9d351a2e6ea">cache_size</a> = 0;
<a name="l00764"></a>00764 
<a name="l00765"></a><a class="code" href="vector_8h.html#ae8b0745702c689f66f3d12bc17f93f58">00765</a> Value* <a class="code" href="vector_8c.html#ae8b0745702c689f66f3d12bc17f93f58">value_alloc</a>(<span class="keywordtype">int</span> want, <span class="keywordtype">int</span> *got)
<a name="l00766"></a>00766 {
<a name="l00767"></a>00767     <span class="keywordtype">int</span> i;
<a name="l00768"></a>00768     Value *p;
<a name="l00769"></a>00769 
<a name="l00770"></a>00770     <span class="keywordflow">if</span> (cache_size) {
<a name="l00771"></a>00771       <span class="keywordtype">int</span> best;
<a name="l00772"></a>00772       <span class="keywordflow">for</span> (i = 0; i &lt; cache_size; ++i) {
<a name="l00773"></a>00773         <span class="keywordflow">if</span> (<a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[i].<a class="code" href="vector_8c.html#a439227feff9d7f55384e8780cfc2eb82">size</a> &gt;= want) {
<a name="l00774"></a>00774           Value *p = <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[i].p;
<a name="l00775"></a>00775           *got = <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[i].size;
<a name="l00776"></a>00776           <span class="keywordflow">if</span> (--cache_size != i) 
<a name="l00777"></a>00777             <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[i] = <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[cache_size];
<a name="l00778"></a>00778           <a class="code" href="vector_8c.html#a27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(p, 0, want);
<a name="l00779"></a>00779           <span class="keywordflow">return</span> p;
<a name="l00780"></a>00780         }
<a name="l00781"></a>00781         <span class="keywordflow">if</span> (i == 0)
<a name="l00782"></a>00782           best = 0;
<a name="l00783"></a>00783         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[i].<a class="code" href="vector_8c.html#a439227feff9d7f55384e8780cfc2eb82">size</a> &gt; <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[best].<a class="code" href="vector_8c.html#a439227feff9d7f55384e8780cfc2eb82">size</a>)
<a name="l00784"></a>00784           best = i;
<a name="l00785"></a>00785       }
<a name="l00786"></a>00786 
<a name="l00787"></a>00787       p = (Value *)realloc(<a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[best].p, want * <span class="keyword">sizeof</span>(Value));
<a name="l00788"></a>00788       *got = <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[best].size;
<a name="l00789"></a>00789       <span class="keywordflow">if</span> (--cache_size != best) 
<a name="l00790"></a>00790         <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[best] = <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[cache_size];
<a name="l00791"></a>00791       <a class="code" href="vector_8c.html#a27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(p, 0, *got);
<a name="l00792"></a>00792     } <span class="keywordflow">else</span> {
<a name="l00793"></a>00793       p = (Value *)malloc(want * <span class="keyword">sizeof</span>(Value));
<a name="l00794"></a>00794       *got = 0;
<a name="l00795"></a>00795     }
<a name="l00796"></a>00796 
<a name="l00797"></a>00797     <span class="keywordflow">if</span> (!p)
<a name="l00798"></a>00798       <span class="keywordflow">return</span> p;
<a name="l00799"></a>00799 
<a name="l00800"></a>00800     <span class="keywordflow">for</span> (i = *got; i &lt; want; ++i)
<a name="l00801"></a>00801       <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(p[i]);
<a name="l00802"></a>00802     *got = want;
<a name="l00803"></a>00803 
<a name="l00804"></a>00804     <span class="keywordflow">return</span> p;
<a name="l00805"></a>00805 }
<a name="l00806"></a>00806 
<a name="l00807"></a><a class="code" href="vector_8h.html#a3e050c3a0fbb40af2a15f874835e34a4">00807</a> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a3e050c3a0fbb40af2a15f874835e34a4">value_free</a>(Value *p, <span class="keywordtype">int</span> <a class="code" href="vector_8c.html#a439227feff9d7f55384e8780cfc2eb82">size</a>)
<a name="l00808"></a>00808 {
<a name="l00809"></a>00809     <span class="keywordtype">int</span> i;
<a name="l00810"></a>00810 
<a name="l00811"></a>00811     <span class="keywordflow">if</span> (cache_size &lt; <a class="code" href="vector_8c.html#a6c8469dfe973ac952cf40394bd2c160b">MAX_CACHE_SIZE</a>) {
<a name="l00812"></a>00812       <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[cache_size].p = p;
<a name="l00813"></a>00813       <a class="code" href="vector_8c.html#a61294ddc01d563fe40471aefd933ec50">cache</a>[cache_size].size = size;
<a name="l00814"></a>00814       ++cache_size;
<a name="l00815"></a>00815       <span class="keywordflow">return</span>;
<a name="l00816"></a>00816     }
<a name="l00817"></a>00817 
<a name="l00818"></a>00818     <span class="keywordflow">for</span> (i=0; i &lt; size; i++)
<a name="l00819"></a>00819       <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(p[i]);
<a name="l00820"></a>00820     free(p);
<a name="l00821"></a>00821 }
<a name="l00822"></a>00822 
</pre></div></div>
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