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<h1>ext_ehrhart.c</h1><a href="ext__ehrhart_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 <http://www.gnu.org/licenses/>.</span>
<a name="l00016"></a>00016 <span class="comment">*/</span>
<a name="l00017"></a>00017
<a name="l00018"></a>00018 <span class="preprocessor">#include <stdlib.h></span>
<a name="l00019"></a>00019 <span class="preprocessor">#include <<a class="code" href="polylib_8h.html">polylib/polylib.h</a>></span>
<a name="l00020"></a><a class="code" href="ext__ehrhart_8c.html#a59799636dce6e7dfa2ce20c48147fa6b">00020</a> <span class="preprocessor">#define WS 200 </span>
<a name="l00021"></a>00021 <span class="preprocessor"></span>
<a name="l00022"></a>00022 <span class="comment">/* #define UE_DEBUG */</span>
<a name="l00023"></a>00023
<a name="l00024"></a>00024
<a name="l00025"></a><a class="code" href="struct__Polyhedron__union.html">00025</a> <span class="keyword">typedef</span> <span class="keyword">struct </span><a class="code" href="struct__Polyhedron__union.html">_Polyhedron_union</a> {
<a name="l00026"></a><a class="code" href="struct__Polyhedron__union.html#a6ae7500fadbcecc36c7127b75f5dc336">00026</a> <a class="code" href="struct__enumeration.html">Enumeration</a> *<a class="code" href="struct__Polyhedron__union.html#a6ae7500fadbcecc36c7127b75f5dc336">pt</a>;
<a name="l00027"></a><a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">00027</a> <span class="keyword">struct </span><a class="code" href="struct__Polyhedron__union.html">_Polyhedron_union</a> *<a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">next</a>;} <a class="code" href="struct__Polyhedron__union.html">Polyhedron_union</a>;
<a name="l00028"></a>00028
<a name="l00029"></a>00029 <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="ext__ehrhart_8c.html#a71f585bdcb55169c5207f612960e74b3">ppcm1</a> (<span class="keywordtype">int</span> a, <span class="keywordtype">int</span> b);
<a name="l00030"></a>00030 <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="ext__ehrhart_8c.html#a301fdd12d3f7b14a8560c147426ab915">CalcBase</a>( <a class="code" href="structmatrix.html">Matrix</a> *R);
<a name="l00031"></a>00031
<a name="l00032"></a>00032
<a name="l00033"></a>00033 <span class="comment">/**** ker.c ****/</span>
<a name="l00034"></a>00034
<a name="l00035"></a>00035 <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ext__ehrhart_8c.html#a5da79efdb8a7f801aaf7b6dfa3ce0d00">Soustraire_ligne</a>(<a class="code" href="structmatrix.html">Matrix</a> *R, <span class="keywordtype">int</span> l1, <span class="keywordtype">int</span> l2, <span class="keywordtype">int</span> piv );
<a name="l00036"></a>00036 <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="ext__ehrhart_8c.html#a4a60247388987989e5c063bfe2725977">existepivot</a>( <a class="code" href="structmatrix.html">Matrix</a> *R, <span class="keywordtype">int</span> l );
<a name="l00037"></a>00037 <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ext__ehrhart_8c.html#abda61bc491d1fb64ad027f1ece418e46">swap_line</a>(<a class="code" href="structmatrix.html">Matrix</a> *R, <span class="keywordtype">int</span> l1, <span class="keywordtype">int</span> l2);
<a name="l00038"></a>00038
<a name="l00039"></a>00039
<a name="l00040"></a>00040 <span class="comment">/* Caclule une base du noyau de l'application definie</span>
<a name="l00041"></a>00041 <span class="comment">par la matrice _carree_ R (completee par des 0..0) */</span>
<a name="l00042"></a>00042
<a name="l00043"></a>00043 <span class="comment">/* /!\ R est alteree par cette fonction. */</span>
<a name="l00044"></a>00044
<a name="l00045"></a><a class="code" href="ext__ehrhart_8c.html#a301fdd12d3f7b14a8560c147426ab915">00045</a> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="ext__ehrhart_8c.html#a301fdd12d3f7b14a8560c147426ab915">CalcBase</a>( <a class="code" href="structmatrix.html">Matrix</a> *R )
<a name="l00046"></a>00046 {
<a name="l00047"></a>00047 <a class="code" href="structmatrix.html">Matrix</a> *B<span class="comment">/*,*BTran*/</span>; <span class="comment">/* matrice des vect. de la base */</span>
<a name="l00048"></a>00048 <span class="keywordtype">int</span> i, j;
<a name="l00049"></a>00049 Value <a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00050"></a>00050 <span class="keywordtype">int</span> l; <span class="comment">/* ligne en cours de `pivotage' */</span>
<a name="l00051"></a>00051 <span class="keywordtype">int</span> lnn;
<a name="l00052"></a>00052 <span class="keywordtype">int</span> dimbase;
<a name="l00053"></a>00053 <span class="keywordtype">int</span> u; <span class="comment">/* vecteur util en cours de calcul */</span>
<a name="l00054"></a>00054 Value som;
<a name="l00055"></a>00055 <span class="keywordtype">int</span> c;
<a name="l00056"></a>00056 <span class="comment">/* diagonalisation de R : algo du pivot */</span>
<a name="l00057"></a>00057 <span class="comment">/* avec conservation des pivots nuls */</span>
<a name="l00058"></a>00058 <span class="keywordflow">for</span>( l=0 ; l<R-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a> ; ++l )
<a name="l00059"></a>00059 {
<a name="l00060"></a>00060 <span class="comment">/* cherche le prochain pivot non nul */</span>
<a name="l00061"></a>00061 <span class="keywordflow">if</span>( (lnn=<a class="code" href="ext__ehrhart_8c.html#a4a60247388987989e5c063bfe2725977">existepivot</a>(R,l)) != -1 )
<a name="l00062"></a>00062 {
<a name="l00063"></a>00063 <a class="code" href="ext__ehrhart_8c.html#abda61bc491d1fb64ad027f1ece418e46">swap_line</a>( R, l, lnn );
<a name="l00064"></a>00064
<a name="l00065"></a>00065 <span class="comment">/* met la colonne dessous a 0 */</span>
<a name="l00066"></a>00066 <span class="keywordflow">for</span>( j=l+1 ; j<R-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a> ; ++j )
<a name="l00067"></a>00067 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>( R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][l]) )
<a name="l00068"></a>00068 <a class="code" href="ext__ehrhart_8c.html#a5da79efdb8a7f801aaf7b6dfa3ce0d00">Soustraire_ligne</a>( R, l, j, l );
<a name="l00069"></a>00069
<a name="l00070"></a>00070 <span class="comment">/* et celle dessus aussi */</span>
<a name="l00071"></a>00071 <span class="keywordflow">for</span>( j=0 ; j<l ; ++j )
<a name="l00072"></a>00072 <span class="keywordflow">if</span>( <a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][l]) )
<a name="l00073"></a>00073 <a class="code" href="ext__ehrhart_8c.html#a5da79efdb8a7f801aaf7b6dfa3ce0d00">Soustraire_ligne</a>( R, l, j, l );
<a name="l00074"></a>00074
<a name="l00075"></a>00075 }
<a name="l00076"></a>00076 <span class="comment">/* s'ils sont tous nuls on passe au suivant */</span>
<a name="l00077"></a>00077 <span class="comment">/* en laissant cette ligne inchangee. */</span>
<a name="l00078"></a>00078 }
<a name="l00079"></a>00079
<a name="l00080"></a>00080 dimbase = 0;
<a name="l00081"></a>00081 <span class="keywordflow">for</span>( l=0 ; l<R-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a> ; ++l )
<a name="l00082"></a>00082 <span class="keywordflow">if</span>( <a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][l]) )
<a name="l00083"></a>00083 ++dimbase; <span class="comment">/* = nb de 0 dans la diagonale */</span>
<a name="l00084"></a>00084
<a name="l00085"></a>00085 B = <a class="code" href="matrix_8c.html#ac0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>( dimbase, R-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a> );
<a name="l00086"></a>00086
<a name="l00087"></a>00087 l=0;
<a name="l00088"></a>00088 <span class="keywordflow">for</span>( u=0 ; u<dimbase ; ++u )
<a name="l00089"></a>00089 {
<a name="l00090"></a>00090 <span class="keywordflow">while</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>( R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][l]) )
<a name="l00091"></a>00091 ++l;
<a name="l00092"></a>00092
<a name="l00093"></a>00093 <span class="comment">/* calcul effectif de ce vecteur : chaque coord en commencant par le bas */</span>
<a name="l00094"></a>00094 <span class="keywordflow">for</span>( i=R-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>-1 ; i>l ; --i )
<a name="l00095"></a>00095 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][i], 0);
<a name="l00096"></a>00096 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][l], 1);
<a name="l00097"></a>00097 <span class="keywordflow">for</span>( i=l-1 ; i>=0 ; --i ) <span class="comment">/* i=chaque coord du vecteur */</span>
<a name="l00098"></a>00098 {
<a name="l00099"></a>00099 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>( R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i]) )
<a name="l00100"></a>00100 <span class="comment">/* on a deux 0... un seul dans */</span>
<a name="l00101"></a>00101 <span class="comment">/* ce vect util suffit */</span>
<a name="l00102"></a>00102 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][i],0);
<a name="l00103"></a>00103 <span class="keywordflow">else</span>
<a name="l00104"></a>00104 {
<a name="l00105"></a>00105 <span class="comment">/* somme des coef deja calcules * coef dans la matrice */</span>
<a name="l00106"></a>00106 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(som,0);
<a name="l00107"></a>00107 <span class="keywordflow">for</span>( c=l ; c>i ; --c )
<a name="l00108"></a>00108 {
<a name="l00109"></a>00109 <a class="code" href="source_2arith_2arithmetique_8h.html#a9900fbd029b36f5887e587642a064a52">value_addmul</a>(som, R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c], B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][c]);
<a name="l00110"></a>00110 <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][c] ,B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][c] , R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i]);
<a name="l00111"></a>00111 }
<a name="l00112"></a>00112 <a class="code" href="source_2arith_2arithmetique_8h.html#a0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>(B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][i] , som );
<a name="l00113"></a>00113 }
<a name="l00114"></a>00114 }
<a name="l00115"></a>00115 <span class="comment">/* reste a faire le pgcd du vecteur et a l'orienter */</span>
<a name="l00116"></a>00116 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(p,0);
<a name="l00117"></a>00117 <span class="keywordflow">for</span>( i=0 ; i<R-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a> ; ++i )
<a name="l00118"></a>00118 <a class="code" href="source_2arith_2arithmetique_8h.html#a50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(p, p, B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][i]);
<a name="l00119"></a>00119 <span class="keywordflow">if</span>( <a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(p))
<a name="l00120"></a>00120 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(p,1);
<a name="l00121"></a>00121 <span class="keywordflow">for</span>( i=0 ; i<R-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a> && <a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][i]); ++i )
<a name="l00122"></a>00122 ;
<a name="l00123"></a>00123 <span class="keywordflow">if</span>( i<R->NbRows )
<a name="l00124"></a>00124 <span class="keywordflow">if</span>( <a class="code" href="source_2arith_2arithmetique_8h.html#af031da52c8a160fd1ee6e4c793f8c78a">value_neg_p</a>(B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][i]) )
<a name="l00125"></a>00125 <a class="code" href="source_2arith_2arithmetique_8h.html#a0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>( p,p );
<a name="l00126"></a>00126
<a name="l00127"></a>00127 <span class="keywordflow">for</span>( i=0 ; i<R-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a> ; ++i )
<a name="l00128"></a>00128 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][i], B-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[u][i], p);
<a name="l00129"></a>00129
<a name="l00130"></a>00130 <span class="comment">/* incrementer le compteur de lignes */</span>
<a name="l00131"></a>00131 ++l;
<a name="l00132"></a>00132 }
<a name="l00133"></a>00133 <span class="keywordflow">return</span> B;
<a name="l00134"></a>00134 }
<a name="l00135"></a>00135
<a name="l00136"></a>00136
<a name="l00137"></a>00137 <span class="comment">/* fonction qui calcule les vect generateurs de l'espace vectoriel</span>
<a name="l00138"></a>00138 <span class="comment"> contenant le polyhedre P */</span>
<a name="l00139"></a>00139 <span class="comment">/*</span>
<a name="l00140"></a>00140 <span class="comment">Matrix *CalcPolyhedronBase( Polyhedron *P )</span>
<a name="l00141"></a>00141 <span class="comment">{</span>
<a name="l00142"></a>00142 <span class="comment"> Matrix *R;</span>
<a name="l00143"></a>00143 <span class="comment"> Matrix *B;</span>
<a name="l00144"></a>00144 <span class="comment"> int n, lines;</span>
<a name="l00145"></a>00145 <span class="comment"> </span>
<a name="l00146"></a>00146 <span class="comment"> if( emptyQ(P) )</span>
<a name="l00147"></a>00147 <span class="comment"> return( Matrix_Alloc( 0, P->Dimension ) ); */</span> <span class="comment">/* pas de vect. gen */</span> <span class="comment">/*</span>
<a name="l00148"></a>00148 <span class="comment"> </span>
<a name="l00149"></a>00149 <span class="comment"> R = Matrix_Alloc( P->Dimension, P->Dimension );</span>
<a name="l00150"></a>00150 <span class="comment"> </span>
<a name="l00151"></a>00151 <span class="comment"> */</span> <span class="comment">/* recopie le 'lineality space' du polyedre dans la matrice R */</span> <span class="comment">/*</span>
<a name="l00152"></a>00152 <span class="comment"> for( lines=0,n=0 ; n<P->NbConstraints ; ++n )</span>
<a name="l00153"></a>00153 <span class="comment"> {</span>
<a name="l00154"></a>00154 <span class="comment"> if( P->Constraint[n][0]==0 )</span>
<a name="l00155"></a>00155 <span class="comment"> */</span> <span class="comment">/* c'est une direction definissant un ss-espace */</span> <span class="comment">/*</span>
<a name="l00156"></a>00156 <span class="comment"> {</span>
<a name="l00157"></a>00157 <span class="comment"> memcpy( &R->p[lines][0], &P->Constraint[n][1],</span>
<a name="l00158"></a>00158 <span class="comment"> sizeof(int)*P->Dimension );</span>
<a name="l00159"></a>00159 <span class="comment"> ++lines;</span>
<a name="l00160"></a>00160 <span class="comment"> }</span>
<a name="l00161"></a>00161 <span class="comment"> }</span>
<a name="l00162"></a>00162 <span class="comment"> */</span> <span class="comment">/* remplit le reste de 0..0 */</span> <span class="comment">/*</span>
<a name="l00163"></a>00163 <span class="comment"> for( ; lines<R->NbRows ; ++lines )</span>
<a name="l00164"></a>00164 <span class="comment"> memset( &R->p[lines][0], 0, sizeof(int)*P->Dimension );</span>
<a name="l00165"></a>00165 <span class="comment"> </span>
<a name="l00166"></a>00166 <span class="comment"> B = CalcBase( R );</span>
<a name="l00167"></a>00167 <span class="comment"> Matrix_Free( R );</span>
<a name="l00168"></a>00168 <span class="comment"> </span>
<a name="l00169"></a>00169 <span class="comment"> return( B );</span>
<a name="l00170"></a>00170 <span class="comment">}*/</span>
<a name="l00171"></a>00171
<a name="l00172"></a>00172
<a name="l00173"></a>00173 <span class="comment">/* fonction qui calcule l'espace vectoriel non parametre de dimension dim</span>
<a name="l00174"></a>00174 <span class="comment"> contenant le polyhedre parametre P */</span>
<a name="l00175"></a>00175 <span class="comment">/* les _egalites_ sont stockees par la polylib sous forme triangulaire</span>
<a name="l00176"></a>00176 <span class="comment">superieure donc il suffit de prendre les premieres. */</span>
<a name="l00177"></a>00177
<a name="l00178"></a>00178 <span class="comment">/*Matrix *CalcEVPolyhedronNP( Polyhedron *P, int dim )</span>
<a name="l00179"></a>00179 <span class="comment">{</span>
<a name="l00180"></a>00180 <span class="comment"> Matrix *R;</span>
<a name="l00181"></a>00181 <span class="comment"> Matrix *B;</span>
<a name="l00182"></a>00182 <span class="comment"> int n, lines;</span>
<a name="l00183"></a>00183 <span class="comment"></span>
<a name="l00184"></a>00184 <span class="comment"> if( emptyQ(P) ) */</span> <span class="comment">/* pas de vect. gen */</span> <span class="comment">/*</span>
<a name="l00185"></a>00185 <span class="comment"> {</span>
<a name="l00186"></a>00186 <span class="comment"> B = Matrix_Alloc( 1, dim ); */</span> <span class="comment">/* on ne peut pas allouer 0 lignes ! */</span> <span class="comment">/*</span>
<a name="l00187"></a>00187 <span class="comment"> B->NbRows = 0;</span>
<a name="l00188"></a>00188 <span class="comment"> return( B );</span>
<a name="l00189"></a>00189 <span class="comment"> }</span>
<a name="l00190"></a>00190 <span class="comment"></span>
<a name="l00191"></a>00191 <span class="comment"> R = Matrix_Alloc( dim, dim );</span>
<a name="l00192"></a>00192 <span class="comment"></span>
<a name="l00193"></a>00193 <span class="comment">*/</span> <span class="comment">/* recopie le 'lineality space' du polyedre dans la matrice R */</span> <span class="comment">/*</span>
<a name="l00194"></a>00194 <span class="comment"> for( lines=0,n=0 ; n<P->NbConstraints && lines<dim ; ++n )</span>
<a name="l00195"></a>00195 <span class="comment"> {</span>
<a name="l00196"></a>00196 <span class="comment"> if( P->Constraint[n][0]==0 )</span>
<a name="l00197"></a>00197 <span class="comment"> */</span> <span class="comment">/* c'est une direction definissant un ss-espace */</span> <span class="comment">/*</span>
<a name="l00198"></a>00198 <span class="comment"> {</span>
<a name="l00199"></a>00199 <span class="comment"> memcpy( &R->p[lines][0], &P->Constraint[n][1],</span>
<a name="l00200"></a>00200 <span class="comment"> sizeof(int)*P->Dimension );</span>
<a name="l00201"></a>00201 <span class="comment"> ++lines;</span>
<a name="l00202"></a>00202 <span class="comment"> }</span>
<a name="l00203"></a>00203 <span class="comment"> }</span>
<a name="l00204"></a>00204 <span class="comment">*/</span> <span class="comment">/* remplit le reste de 0..0 */</span> <span class="comment">/*</span>
<a name="l00205"></a>00205 <span class="comment"> for( ; lines<R->NbRows ; ++lines )</span>
<a name="l00206"></a>00206 <span class="comment"> memset( &R->p[lines][0], 0, sizeof(int)*dim );</span>
<a name="l00207"></a>00207 <span class="comment"></span>
<a name="l00208"></a>00208 <span class="comment"> B = CalcBase( R );</span>
<a name="l00209"></a>00209 <span class="comment"> Matrix_Free( R );</span>
<a name="l00210"></a>00210 <span class="comment"></span>
<a name="l00211"></a>00211 <span class="comment"> return( B );</span>
<a name="l00212"></a>00212 <span class="comment">}*/</span>
<a name="l00213"></a>00213
<a name="l00214"></a>00214
<a name="l00215"></a>00215 <span class="comment">/* renvoie la ligne sur laquelle on a trouve un coef non nul */</span>
<a name="l00216"></a>00216 <span class="comment">/* pareil mais cherche dans toutes les lignes */</span>
<a name="l00217"></a>00217 <span class="comment">/* et -1 s'il n'y en a pas. */</span>
<a name="l00218"></a><a class="code" href="ext__ehrhart_8c.html#a4a60247388987989e5c063bfe2725977">00218</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="ext__ehrhart_8c.html#a4a60247388987989e5c063bfe2725977">existepivot</a>( <a class="code" href="structmatrix.html">Matrix</a> *R, <span class="keywordtype">int</span> l )
<a name="l00219"></a>00219 {
<a name="l00220"></a>00220 <span class="keywordtype">int</span> j, c;
<a name="l00221"></a>00221
<a name="l00222"></a>00222 <span class="keywordflow">for</span>( j=l ; j<R-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a> ; ++j )
<a name="l00223"></a>00223 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>( R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][l]) )
<a name="l00224"></a>00224 <span class="keywordflow">return</span>( j );
<a name="l00225"></a>00225
<a name="l00226"></a>00226 <span class="comment">/* on ne l'a pas trouve pour l'instant... on cherche au dessus */</span>
<a name="l00227"></a>00227 <span class="comment">/* les lignes ayant que des 0 jusqu'a la position l */</span>
<a name="l00228"></a>00228 <span class="keywordflow">for</span>( j=0 ; j<l ; ++j )
<a name="l00229"></a>00229 {
<a name="l00230"></a>00230 <span class="keywordflow">for</span>( c=0 ; c<l && <a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c]) ; c++ )
<a name="l00231"></a>00231 ;
<a name="l00232"></a>00232 <span class="keywordflow">if</span>( c==l && <a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][l]) )
<a name="l00233"></a>00233 <span class="keywordflow">return</span>( j );
<a name="l00234"></a>00234 }
<a name="l00235"></a>00235
<a name="l00236"></a>00236 <span class="keywordflow">return</span>( -1 );
<a name="l00237"></a>00237 }
<a name="l00238"></a>00238
<a name="l00239"></a>00239
<a name="l00240"></a>00240 <span class="comment">/* echange les lignes l1 et l2 dans la matrice R */</span>
<a name="l00241"></a><a class="code" href="ext__ehrhart_8c.html#abda61bc491d1fb64ad027f1ece418e46">00241</a> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ext__ehrhart_8c.html#abda61bc491d1fb64ad027f1ece418e46">swap_line</a>(<a class="code" href="structmatrix.html">Matrix</a> *R, <span class="keywordtype">int</span> l1, <span class="keywordtype">int</span> l2)
<a name="l00242"></a>00242 {
<a name="l00243"></a>00243 <span class="keywordtype">int</span> i;
<a name="l00244"></a>00244 Value tmp;
<a name="l00245"></a>00245
<a name="l00246"></a>00246 <span class="keywordflow">if</span>( l1 != l2 )
<a name="l00247"></a>00247 <span class="keywordflow">for</span>(i = 0;i < R-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;i ++)
<a name="l00248"></a>00248 {
<a name="l00249"></a>00249 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(tmp , R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l1][i]);
<a name="l00250"></a>00250 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l1][i] , R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][i]);
<a name="l00251"></a>00251 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][i] , tmp);
<a name="l00252"></a>00252 }
<a name="l00253"></a>00253 }
<a name="l00254"></a>00254
<a name="l00255"></a>00255
<a name="l00256"></a>00256
<a name="l00257"></a><a class="code" href="ext__ehrhart_8c.html#a1b15dffeaad8bde724a59adea33429a5">00257</a> <span class="keywordtype">int</span> <a class="code" href="ext__ehrhart_8c.html#a1b15dffeaad8bde724a59adea33429a5">pgcd1</a>( <span class="keywordtype">int</span> a, <span class="keywordtype">int</span> b)
<a name="l00258"></a>00258 {
<a name="l00259"></a>00259 <span class="keywordtype">int</span> r;
<a name="l00260"></a>00260 <span class="keywordflow">if</span>( a== 0 )
<a name="l00261"></a>00261 <span class="keywordflow">return</span>( abs(b) );
<a name="l00262"></a>00262 <span class="keywordflow">if</span>(b==0 )
<a name="l00263"></a>00263 <span class="keywordflow">return</span>(abs(a) );
<a name="l00264"></a>00264 <span class="keywordflow">do</span>
<a name="l00265"></a>00265 {
<a name="l00266"></a>00266 r= a % b;
<a name="l00267"></a>00267 a= b;
<a name="l00268"></a>00268 b = r;
<a name="l00269"></a>00269 }
<a name="l00270"></a>00270 <span class="keywordflow">while</span> ( r!=0 );
<a name="l00271"></a>00271 <span class="keywordflow">return</span>(abs(a));
<a name="l00272"></a>00272 }
<a name="l00273"></a>00273
<a name="l00274"></a>00274
<a name="l00275"></a>00275
<a name="l00276"></a>00276
<a name="l00277"></a>00277 <span class="comment">/* Soustraire la ligne l1 de l2 */</span>
<a name="l00278"></a>00278 <span class="comment">/* On effectue l2 = (l1[piv]/pgcd)*l2 - l1 * (l2[piv]/pgcd) */</span>
<a name="l00279"></a><a class="code" href="ext__ehrhart_8c.html#a5da79efdb8a7f801aaf7b6dfa3ce0d00">00279</a> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ext__ehrhart_8c.html#a5da79efdb8a7f801aaf7b6dfa3ce0d00">Soustraire_ligne</a>(<a class="code" href="structmatrix.html">Matrix</a> *R, <span class="keywordtype">int</span> l1, <span class="keywordtype">int</span> l2, <span class="keywordtype">int</span> piv )
<a name="l00280"></a>00280 {
<a name="l00281"></a>00281 <span class="keywordtype">int</span> i;
<a name="l00282"></a>00282 Value a, b, <a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>, t;
<a name="l00283"></a>00283 <span class="comment">/* l2 = a*l2 - b*l1 */</span>
<a name="l00284"></a>00284
<a name="l00285"></a>00285 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][piv] )) <span class="comment">/* c'est deja fait ! */</span>
<a name="l00286"></a>00286 <span class="keywordflow">return</span>;
<a name="l00287"></a>00287
<a name="l00288"></a>00288 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(a);
<a name="l00289"></a>00289 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(b);
<a name="l00290"></a>00290 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(p);
<a name="l00291"></a>00291 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(t);
<a name="l00292"></a>00292
<a name="l00293"></a>00293 <a class="code" href="source_2arith_2arithmetique_8h.html#a50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(p, R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l1][piv], R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][piv]);
<a name="l00294"></a>00294 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(a, R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l1][piv], p);
<a name="l00295"></a>00295 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(b, R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][piv], p);
<a name="l00296"></a>00296
<a name="l00297"></a>00297 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][piv] , 0);
<a name="l00298"></a>00298 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(p,0);
<a name="l00299"></a>00299 <span class="keywordflow">for</span>(i = piv + 1;i < R-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;i ++)
<a name="l00300"></a>00300 {
<a name="l00301"></a>00301 <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(t,b,R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l1][i]);
<a name="l00302"></a>00302 <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][i],a,R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][i]);
<a name="l00303"></a>00303 <a class="code" href="source_2arith_2arithmetique_8h.html#ae92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][i],R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][i],t);
<a name="l00304"></a>00304 <a class="code" href="source_2arith_2arithmetique_8h.html#a50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(p, p, R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][i]);
<a name="l00305"></a>00305 }
<a name="l00306"></a>00306 <span class="comment">/* Simplification par le pgcd de toute la ligne */</span>
<a name="l00307"></a>00307 <span class="keywordflow">for</span>( i=piv+1 ; i<R-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a> && p!=0 ; i++ )
<a name="l00308"></a>00308 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][i], R-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l2][i], p);
<a name="l00309"></a>00309
<a name="l00310"></a>00310 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(a);
<a name="l00311"></a>00311 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(b);
<a name="l00312"></a>00312 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(p);
<a name="l00313"></a>00313 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(t);
<a name="l00314"></a>00314 }
<a name="l00315"></a>00315
<a name="l00316"></a>00316
<a name="l00317"></a>00317 <span class="comment">/*** ext_ehrhart.c ****/</span>
<a name="l00318"></a>00318
<a name="l00319"></a>00319
<a name="l00320"></a><a class="code" href="ext__ehrhart_8h.html#a1758d39c40dcdf8916517a34133f54e8">00320</a> <span class="keywordtype">void</span> <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(<a class="code" href="struct__evalue.html">evalue</a> *e1,<a class="code" href="struct__evalue.html">evalue</a> *res) {
<a name="l00321"></a>00321 <span class="keywordtype">int</span> i, <a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>, x, y;
<a name="l00322"></a>00322
<a name="l00323"></a>00323 <a class="code" href="struct__evalue.html">evalue</a> *ne;
<a name="l00324"></a>00324 Value g,m1,m2;
<a name="l00325"></a>00325
<a name="l00326"></a>00326 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(g);
<a name="l00327"></a>00327 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m1);
<a name="l00328"></a>00328 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m2);
<a name="l00329"></a>00329 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(e1-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>) && <a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>)) {
<a name="l00330"></a>00330 <span class="comment">/* Add two rational numbers*/</span>
<a name="l00331"></a>00331 <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(m1,e1->x.n,res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>);
<a name="l00332"></a>00332 <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(m2,res->x.n,e1-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>);
<a name="l00333"></a>00333 <a class="code" href="source_2arith_2arithmetique_8h.html#aea216a0e750144f0e6eb9b0a82583739">value_addto</a>(res->x.n,m1,m2);
<a name="l00334"></a>00334 <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>,e1-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>,res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>);
<a name="l00335"></a>00335 <a class="code" href="source_2arith_2arithmetique_8h.html#a50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(g, res->x.n,res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>);
<a name="l00336"></a>00336 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(g)) {
<a name="l00337"></a>00337 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>, res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>, g);
<a name="l00338"></a>00338 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(res->x.n, res->x.n, g);
<a name="l00339"></a>00339 }
<a name="l00340"></a>00340 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00341"></a>00341 return ;
<a name="l00342"></a>00342 }
<a name="l00343"></a>00343 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(e1-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>) && <a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>)) {
<a name="l00344"></a>00344 <span class="keywordflow">if</span> (res->x.p->type==<a class="code" href="types_8h.html#a01e5f42033d0f34c1a182a25a7409fedaa486649798da33c51389df14eaccd3ce">polynomial</a>) {
<a name="l00345"></a>00345 <span class="comment">/* Add the constant to the constant term of a polynomial*/</span>
<a name="l00346"></a>00346 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(e1, &res->x.p->arr[0]);
<a name="l00347"></a>00347 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00348"></a>00348 return ;
<a name="l00349"></a>00349 }
<a name="l00350"></a>00350 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (res->x.p->type==<a class="code" href="types_8h.html#a01e5f42033d0f34c1a182a25a7409feda3cb930eb7594d2236ab4fc6dd622c207">periodic</a>) {
<a name="l00351"></a>00351 <span class="comment">/* Add the constant to all elements of a periodic number */</span>
<a name="l00352"></a>00352 <span class="keywordflow">for</span> (i=0; i<res->x.p->size; i++) {
<a name="l00353"></a>00353 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(e1, &res->x.p->arr[i]);
<a name="l00354"></a>00354 }
<a name="l00355"></a>00355 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00356"></a>00356
<a name="l00357"></a>00357 return ;
<a name="l00358"></a>00358 }
<a name="l00359"></a>00359 <span class="keywordflow">else</span> {
<a name="l00360"></a>00360 fprintf(stderr, <span class="stringliteral">"eadd: cannot add const with vector\n"</span>);
<a name="l00361"></a>00361 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00362"></a>00362
<a name="l00363"></a>00363 <span class="keywordflow">return</span>;
<a name="l00364"></a>00364 }
<a name="l00365"></a>00365 }
<a name="l00366"></a>00366 <span class="comment">/* ######### add polynomial or periodic to constant #############</span>
<a name="l00367"></a>00367 <span class="comment"> you have to exchange e1 and res, before doing addition */</span>
<a name="l00368"></a>00368
<a name="l00369"></a>00369 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(e1-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>) && <a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>)) {
<a name="l00370"></a>00370 <a class="code" href="struct__enode.html">enode</a> *tmp;
<a name="l00371"></a>00371 <a class="code" href="struct__evalue.html">evalue</a> x;
<a name="l00372"></a>00372 x=*res;
<a name="l00373"></a>00373 tmp= <a class="code" href="ehrhart_8c.html#ac94c9f3a408511c6ea5defdc47eb6563">ecopy</a>(e1->x.p);
<a name="l00374"></a>00374 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>);
<a name="l00375"></a>00375 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>( res-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>, 0 );
<a name="l00376"></a>00376 res->x.p=tmp;
<a name="l00377"></a>00377
<a name="l00378"></a>00378 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(&x,res);
<a name="l00379"></a>00379 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00380"></a>00380 return ;
<a name="l00381"></a>00381 }
<a name="l00382"></a>00382 <span class="keywordflow">else</span> { <span class="comment">/* ((e1->d==0) && (res->d==0)) */</span>
<a name="l00383"></a>00383 <span class="keywordflow">if</span> ((e1->x.p->type != res->x.p->type) ) {
<a name="l00384"></a>00384 <span class="comment">/* ##### adding to evalues of different type. two cases are possible #### </span>
<a name="l00385"></a>00385 <span class="comment"> </span>
<a name="l00386"></a>00386 <span class="comment"> #### res is periodic and e1 is polynomial, you have to exchange</span>
<a name="l00387"></a>00387 <span class="comment"> e1 and res then to add e1 to the constant term of res #### */</span>
<a name="l00388"></a>00388 <span class="keywordflow">if</span> ((res->x.p->type == <a class="code" href="types_8h.html#a01e5f42033d0f34c1a182a25a7409feda3cb930eb7594d2236ab4fc6dd622c207">periodic</a>)&&(e1->x.p->type == <a class="code" href="types_8h.html#a01e5f42033d0f34c1a182a25a7409fedaa486649798da33c51389df14eaccd3ce">polynomial</a>)) {
<a name="l00389"></a>00389
<a name="l00390"></a>00390 <a class="code" href="struct__evalue.html">evalue</a> eval;
<a name="l00391"></a>00391 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>( eval.<a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>, 0 );
<a name="l00392"></a>00392 eval.x.p=<a class="code" href="ehrhart_8c.html#ac94c9f3a408511c6ea5defdc47eb6563">ecopy</a>(res->x.p);
<a name="l00393"></a>00393 res->x.p= <a class="code" href="ehrhart_8c.html#ac94c9f3a408511c6ea5defdc47eb6563">ecopy</a>(e1->x.p);
<a name="l00394"></a>00394 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(&eval,&res->x.p->arr[0]);
<a name="l00395"></a>00395
<a name="l00396"></a>00396 }
<a name="l00397"></a>00397 <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((res->x.p->type == <a class="code" href="types_8h.html#a01e5f42033d0f34c1a182a25a7409fedaa486649798da33c51389df14eaccd3ce">polynomial</a>)&&(e1->x.p->type == <a class="code" href="types_8h.html#a01e5f42033d0f34c1a182a25a7409feda3cb930eb7594d2236ab4fc6dd622c207">periodic</a>)) {
<a name="l00398"></a>00398 <span class="comment">/* #### res is polynomial and e1 is periodic,</span>
<a name="l00399"></a>00399 <span class="comment"> add e1 to the constant term of res #### */</span>
<a name="l00400"></a>00400
<a name="l00401"></a>00401 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(e1,&res->x.p->arr[0]);
<a name="l00402"></a>00402 }
<a name="l00403"></a>00403
<a name="l00404"></a>00404 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00405"></a>00405 <span class="keywordflow">return</span>;
<a name="l00406"></a>00406 }
<a name="l00407"></a>00407 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (e1->x.p->pos != res->x.p->pos ) {
<a name="l00408"></a>00408 <span class="comment">/* ### adding evalues of different position (i.e function of different unknowns</span>
<a name="l00409"></a>00409 <span class="comment"> to case are possible ### */</span>
<a name="l00410"></a>00410
<a name="l00411"></a>00411 <span class="keywordflow">if</span> (res->x.p->type == <a class="code" href="types_8h.html#a01e5f42033d0f34c1a182a25a7409fedaa486649798da33c51389df14eaccd3ce">polynomial</a>) {<span class="comment">/* ### res and e1 are polynomials</span>
<a name="l00412"></a>00412 <span class="comment"> add e1 to the constant term of res */</span>
<a name="l00413"></a>00413
<a name="l00414"></a>00414 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(e1,&res->x.p->arr[0]);
<a name="l00415"></a>00415 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00416"></a>00416 <span class="keywordflow">return</span>;
<a name="l00417"></a>00417 }
<a name="l00418"></a>00418 <span class="keywordflow">else</span> { <span class="comment">/* ### res and e1 are pointers to periodic numbers</span>
<a name="l00419"></a>00419 <span class="comment"> add e1 to all elements of res */</span>
<a name="l00420"></a>00420
<a name="l00421"></a>00421 <span class="keywordflow">for</span> (i=0;i<res->x.p->size;i++) {
<a name="l00422"></a>00422 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(e1,&res->x.p->arr[i]);
<a name="l00423"></a>00423 }
<a name="l00424"></a>00424 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00425"></a>00425 <span class="keywordflow">return</span>;
<a name="l00426"></a>00426 }
<a name="l00427"></a>00427
<a name="l00428"></a>00428
<a name="l00429"></a>00429 } <span class="comment">/* ### */</span>
<a name="l00430"></a>00430
<a name="l00431"></a>00431
<a name="l00432"></a>00432 <span class="comment">/* same type , same pos and same size */</span>
<a name="l00433"></a>00433 <span class="keywordflow">if</span> (e1->x.p->size == res->x.p->size) {
<a name="l00434"></a>00434 <span class="comment">/* add any element in e1 to the corresponding element in res */</span>
<a name="l00435"></a>00435 <span class="keywordflow">for</span> (i=0; i<res->x.p->size; i++) {
<a name="l00436"></a>00436 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(&e1->x.p->arr[i], &res->x.p->arr[i]);
<a name="l00437"></a>00437 }
<a name="l00438"></a>00438 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00439"></a>00439 return ;
<a name="l00440"></a>00440 }
<a name="l00441"></a>00441
<a name="l00442"></a>00442 <span class="comment">/* Sizes are different */</span>
<a name="l00443"></a>00443 <span class="keywordflow">if</span> (res->x.p->type==<a class="code" href="types_8h.html#a01e5f42033d0f34c1a182a25a7409fedaa486649798da33c51389df14eaccd3ce">polynomial</a>) {
<a name="l00444"></a>00444 <span class="comment">/* VIN100: if e1-size > res-size you have to copy e1 in a */</span>
<a name="l00445"></a>00445 <span class="comment">/* new enode and add res to that new node. If you do not do */</span>
<a name="l00446"></a>00446 <span class="comment">/* that, you lose the the upper weight part of e1 ! */</span>
<a name="l00447"></a>00447
<a name="l00448"></a>00448 <span class="keywordflow">if</span>(e1->x.p->size > res->x.p->size) {
<a name="l00449"></a>00449 <a class="code" href="struct__enode.html">enode</a> *tmp;
<a name="l00450"></a>00450 tmp = <a class="code" href="ehrhart_8c.html#ac94c9f3a408511c6ea5defdc47eb6563">ecopy</a>(e1->x.p);
<a name="l00451"></a>00451 <span class="keywordflow">for</span>(i=0;i<res->x.p->size;++i) {
<a name="l00452"></a>00452 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(&res->x.p->arr[i], &tmp-><a class="code" href="struct__enode.html#a215794f8b8ab87573bd46f14a8e916d4">arr</a>[i]);
<a name="l00453"></a>00453 <span class="comment">/* free_evalue_refs(&res->x.p->arr[i]); */</span>
<a name="l00454"></a>00454 }
<a name="l00455"></a>00455 res->x.p = tmp;
<a name="l00456"></a>00456
<a name="l00457"></a>00457 }
<a name="l00458"></a>00458 <span class="keywordflow">else</span> {
<a name="l00459"></a>00459
<a name="l00460"></a>00460 <span class="keywordflow">for</span> (i=0; i<e1->x.p->size ; i++) {
<a name="l00461"></a>00461 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(&e1->x.p->arr[i], &res->x.p->arr[i]);
<a name="l00462"></a>00462 }
<a name="l00463"></a>00463 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00464"></a>00464
<a name="l00465"></a>00465 return ;
<a name="l00466"></a>00466 }
<a name="l00467"></a>00467 }
<a name="l00468"></a>00468
<a name="l00469"></a>00469 <span class="comment">/* ### add two periodics of the same pos (unknown) but whith different sizes (periods) ### */</span>
<a name="l00470"></a>00470 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (res->x.p->type==<a class="code" href="types_8h.html#a01e5f42033d0f34c1a182a25a7409feda3cb930eb7594d2236ab4fc6dd622c207">periodic</a>) {
<a name="l00471"></a>00471 <span class="comment">/* you have to create a new evalue 'ne' in whitch size equals to the scm</span>
<a name="l00472"></a>00472 <span class="comment"> of the sizes of e1 and res, then to copy res periodicaly in ne, after</span>
<a name="l00473"></a>00473 <span class="comment"> to add periodicaly elements of e1 to elements of ne, and finaly to </span>
<a name="l00474"></a>00474 <span class="comment"> return ne. */</span>
<a name="l00475"></a>00475
<a name="l00476"></a>00476 x=e1->x.p->size;
<a name="l00477"></a>00477 y= res->x.p->size;
<a name="l00478"></a>00478 p=<a class="code" href="ext__ehrhart_8c.html#a71f585bdcb55169c5207f612960e74b3">ppcm1</a>(x,y);
<a name="l00479"></a>00479 ne= (<a class="code" href="struct__evalue.html">evalue</a> *) malloc (<span class="keyword">sizeof</span>(<a class="code" href="struct__evalue.html">evalue</a>));
<a name="l00480"></a>00480 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(ne-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>);
<a name="l00481"></a>00481 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>( ne-><a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>,0);
<a name="l00482"></a>00482
<a name="l00483"></a>00483 ne->x.p=<a class="code" href="ehrhart_8c.html#a7acd3dfb7d74bf5551bce6f31f7189bc" title="EHRHART POLYNOMIAL SYMBOLIC ALGEBRA SYSTEM.">new_enode</a>(res->x.p->type,p, res->x.p->pos);
<a name="l00484"></a>00484 <span class="keywordflow">for</span>(i=0;i<p;i++) {
<a name="l00485"></a>00485 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(ne->x.p->arr[i].<a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>, res->x.p->arr[i%y].<a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>);
<a name="l00486"></a>00486 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(ne->x.p->arr[i].<a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>)) {
<a name="l00487"></a>00487 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(ne->x.p->arr[i].x.n);
<a name="l00488"></a>00488 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(ne->x.p->arr[i].x.n, res->x.p->arr[i%y].x.n);
<a name="l00489"></a>00489 }
<a name="l00490"></a>00490 <span class="keywordflow">else</span> {
<a name="l00491"></a>00491 ne->x.p->arr[i].x.p =<a class="code" href="ehrhart_8c.html#ac94c9f3a408511c6ea5defdc47eb6563">ecopy</a>(res->x.p->arr[i%y].x.p);
<a name="l00492"></a>00492 }
<a name="l00493"></a>00493 }
<a name="l00494"></a>00494 <span class="keywordflow">for</span>(i=0;i<p;i++) {
<a name="l00495"></a>00495 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(&e1->x.p->arr[i%x], &ne->x.p->arr[i]);
<a name="l00496"></a>00496 }
<a name="l00497"></a>00497
<a name="l00498"></a>00498 res=ne;
<a name="l00499"></a>00499
<a name="l00500"></a>00500 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00501"></a>00501 return ;
<a name="l00502"></a>00502 }
<a name="l00503"></a>00503 <span class="keywordflow">else</span> { <span class="comment">/* evector */</span>
<a name="l00504"></a>00504 fprintf(stderr, <span class="stringliteral">"eadd: ?cannot add vectors of different length\n"</span>);
<a name="l00505"></a>00505 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00506"></a>00506 return ;
<a name="l00507"></a>00507 }
<a name="l00508"></a>00508 }
<a name="l00509"></a>00509 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(g); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00510"></a>00510 return ;
<a name="l00511"></a>00511 } <span class="comment">/* new_eadd */</span>
<a name="l00512"></a>00512
<a name="l00513"></a>00513 <span class="comment">/* remove the last row and the last column of a matrix Mat */</span>
<a name="l00514"></a><a class="code" href="ext__ehrhart_8c.html#ada49ee072a02798c5557853034894158">00514</a> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="ext__ehrhart_8c.html#ada49ee072a02798c5557853034894158">Reduce_Matrix</a> (<a class="code" href="structmatrix.html">Matrix</a> *Mat) {
<a name="l00515"></a>00515 <span class="keywordtype">int</span> i;
<a name="l00516"></a>00516 Value *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00517"></a>00517 p=*(Mat-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>+(Mat-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>-1));
<a name="l00518"></a>00518 <span class="keywordflow">for</span> (i=0;i<Mat-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>; i++) {
<a name="l00519"></a>00519 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(*p++);
<a name="l00520"></a>00520 }
<a name="l00521"></a>00521 <span class="keywordflow">for</span> (i=0; i<Mat-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>-1; i++) {
<a name="l00522"></a>00522 p=*(Mat-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>+i);
<a name="l00523"></a>00523 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(*(p+(Mat-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>-1)));
<a name="l00524"></a>00524 }
<a name="l00525"></a>00525 Mat-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>--;
<a name="l00526"></a>00526 Mat-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>--;
<a name="l00527"></a>00527 <span class="keywordflow">return</span> Mat;
<a name="l00528"></a>00528 } <span class="comment">/* Reduce_Matrix */</span>
<a name="l00529"></a>00529
<a name="l00530"></a>00530
<a name="l00531"></a>00531 <span class="comment">/* Computes the scalar product (in euclidien space) of two vectors */</span>
<a name="l00532"></a>00532
<a name="l00533"></a><a class="code" href="ext__ehrhart_8c.html#a3c8687093fe77f61c70d3d52f2867a71">00533</a> <span class="keywordtype">void</span> <a class="code" href="ext__ehrhart_8c.html#a3c8687093fe77f61c70d3d52f2867a71">Scalar_product</a>(Value *p1,Value *p2,<span class="keywordtype">unsigned</span> length, Value *r) {
<a name="l00534"></a>00534 Value *cp1, *cp2;
<a name="l00535"></a>00535
<a name="l00536"></a>00536 <span class="keywordtype">int</span> i;
<a name="l00537"></a>00537 cp1=p1;
<a name="l00538"></a>00538 cp2=p2;
<a name="l00539"></a>00539 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(*r,0);
<a name="l00540"></a>00540 <span class="keywordflow">for</span> (i=0;i<length;i++) {
<a name="l00541"></a>00541 <a class="code" href="source_2arith_2arithmetique_8h.html#a9900fbd029b36f5887e587642a064a52">value_addmul</a>(*r, *cp1, *cp2);
<a name="l00542"></a>00542 cp1++; cp2++;
<a name="l00543"></a>00543 }
<a name="l00544"></a>00544 } <span class="comment">/* Scalar_product */</span>
<a name="l00545"></a>00545
<a name="l00546"></a>00546 <span class="comment">/* computes the scm of two integrals */</span>
<a name="l00547"></a>00547
<a name="l00548"></a><a class="code" href="ext__ehrhart_8c.html#a71f585bdcb55169c5207f612960e74b3">00548</a> <span class="keywordtype">int</span> <a class="code" href="ext__ehrhart_8c.html#a71f585bdcb55169c5207f612960e74b3">ppcm1</a> (<span class="keywordtype">int</span> a, <span class="keywordtype">int</span> b) {
<a name="l00549"></a>00549 <span class="keywordtype">int</span> t;
<a name="l00550"></a>00550 t = (a*b)/ <a class="code" href="ext__ehrhart_8c.html#a1b15dffeaad8bde724a59adea33429a5">pgcd1</a>(a,b);
<a name="l00551"></a>00551 <span class="keywordflow">return</span> t;
<a name="l00552"></a>00552 } <span class="comment">/* ppcm1 */</span>
<a name="l00553"></a>00553
<a name="l00554"></a>00554
<a name="l00555"></a><a class="code" href="ext__ehrhart_8c.html#a1d0568ced2e25ee2ce5495518d3254bf">00555</a> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="ext__ehrhart_8c.html#a1d0568ced2e25ee2ce5495518d3254bf">Orthogonal_Base</a>(<a class="code" href="structmatrix.html">Matrix</a> *Mat) {
<a name="l00556"></a>00556 <a class="code" href="structmatrix.html">Matrix</a> *OrthMat;
<a name="l00557"></a>00557 Value a,b,c,d;
<a name="l00558"></a>00558 <a class="code" href="structVector.html">Vector</a> *q,*<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>,*f;
<a name="l00559"></a>00559 <span class="keywordtype">unsigned</span> length;
<a name="l00560"></a>00560 <span class="keywordtype">int</span> i,j,k;
<a name="l00561"></a>00561 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(a);
<a name="l00562"></a>00562 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(b);
<a name="l00563"></a>00563 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(c);
<a name="l00564"></a>00564 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(d);
<a name="l00565"></a>00565 OrthMat= <a class="code" href="matrix_8c.html#ac0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(Mat-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>,Mat-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>);
<a name="l00566"></a>00566 length=Mat-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;
<a name="l00567"></a>00567 <span class="keywordflow">for</span>(k=0; k<length; k++) {
<a name="l00568"></a>00568 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(OrthMat-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[0][k],Mat-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[0][k]);
<a name="l00569"></a>00569 }
<a name="l00570"></a>00570 f=<a class="code" href="vector_8c.html#a358c545236f58b1001479e4a69d318aa">Vector_Alloc</a>(length);
<a name="l00571"></a>00571 p=<a class="code" href="vector_8c.html#a358c545236f58b1001479e4a69d318aa">Vector_Alloc</a>(length);
<a name="l00572"></a>00572 q=<a class="code" href="vector_8c.html#a358c545236f58b1001479e4a69d318aa">Vector_Alloc</a>(length);
<a name="l00573"></a>00573 <span class="keywordflow">for</span>(i=1; i<Mat-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>; i++) {
<a name="l00574"></a>00574 <span class="keywordflow">for</span>(k=0;k<length;k++) {
<a name="l00575"></a>00575 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(f-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],Mat-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][k]);
<a name="l00576"></a>00576 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(q-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],Mat-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][k]);
<a name="l00577"></a>00577 }
<a name="l00578"></a>00578 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(d,1);
<a name="l00579"></a>00579 <span class="keywordflow">for</span>(j=0; j<i; j++) {
<a name="l00580"></a>00580 <span class="keywordflow">for</span>(k=0;k<length;k++) {
<a name="l00581"></a>00581 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(p-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],OrthMat-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][k]);
<a name="l00582"></a>00582 }
<a name="l00583"></a>00583
<a name="l00584"></a>00584 <a class="code" href="ext__ehrhart_8c.html#a3c8687093fe77f61c70d3d52f2867a71">Scalar_product</a>(p-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>,f-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>,length,&a);
<a name="l00585"></a>00585 <a class="code" href="ext__ehrhart_8c.html#a3c8687093fe77f61c70d3d52f2867a71">Scalar_product</a>(p-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>,p-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>,length,&b);
<a name="l00586"></a>00586 <a class="code" href="source_2arith_2arithmetique_8h.html#a50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(c, a, b);
<a name="l00587"></a>00587 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(a, a, c);
<a name="l00588"></a>00588 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(b, b, c);
<a name="l00589"></a>00589 <span class="keywordflow">for</span>(k=0;k<length;k++) {
<a name="l00590"></a>00590 <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(p-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],p-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],a);
<a name="l00591"></a>00591 }
<a name="l00592"></a>00592
<a name="l00593"></a>00593 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(d)|<a class="code" href="source_2arith_2arithmetique_8h.html#a5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(b)) {
<a name="l00594"></a>00594 <a class="code" href="source_2arith_2arithmetique_8h.html#a6da13dbfdd065b7609591ff6b3aee310">value_lcm</a>(c, d, b);
<a name="l00595"></a>00595 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(a, c, b);
<a name="l00596"></a>00596 <a class="code" href="source_2arith_2arithmetique_8h.html#a4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(b, c, d);
<a name="l00597"></a>00597 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(d,c);
<a name="l00598"></a>00598 <span class="keywordflow">for</span>(k=0;k<length;k++) {
<a name="l00599"></a>00599 <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(p-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],p-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],a);
<a name="l00600"></a>00600 <a class="code" href="source_2arith_2arithmetique_8h.html#ac9986d34264874727344f666079e2294">value_multiply</a>(q-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],q-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],b);
<a name="l00601"></a>00601 }
<a name="l00602"></a>00602
<a name="l00603"></a>00603 }
<a name="l00604"></a>00604
<a name="l00605"></a>00605 <span class="keywordflow">for</span>(k=0;k<length;k++) {
<a name="l00606"></a>00606 <a class="code" href="source_2arith_2arithmetique_8h.html#ae92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(q-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],q-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],p-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k]);
<a name="l00607"></a>00607 }
<a name="l00608"></a>00608
<a name="l00609"></a>00609 }
<a name="l00610"></a>00610 <a class="code" href="vector_8c.html#a801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(q-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>,length,&c);
<a name="l00611"></a>00611 <a class="code" href="vector_8c.html#a95d6452a07b82054af71a14c686e66a8">Vector_AntiScale</a>(q-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>, OrthMat-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i], c, length);
<a name="l00612"></a>00612 }
<a name="l00613"></a>00613 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(a);
<a name="l00614"></a>00614 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(b);
<a name="l00615"></a>00615 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(c);
<a name="l00616"></a>00616 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(d);
<a name="l00617"></a>00617 <span class="keywordflow">return</span> OrthMat;
<a name="l00618"></a>00618 } <span class="comment">/* Orthogonal_Base */</span>
<a name="l00619"></a>00619
<a name="l00620"></a>00620
<a name="l00621"></a>00621 <span class="comment">/* Remove an element of a list */</span>
<a name="l00622"></a><a class="code" href="ext__ehrhart_8c.html#ae58a1dd711203df52a134ccb9ce7484d">00622</a> <span class="keywordtype">void</span> <a class="code" href="ext__ehrhart_8c.html#ae58a1dd711203df52a134ccb9ce7484d">Remove_Element</a>(<a class="code" href="struct__enumeration.html">Enumeration</a> *en,<a class="code" href="struct__enumeration.html">Enumeration</a> **re, <a class="code" href="struct__enumeration.html">Enumeration</a> *prev) {
<a name="l00623"></a>00623 <span class="keywordflow">if</span> (en== *re) {
<a name="l00624"></a>00624 *re= (*re)-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>;
<a name="l00625"></a>00625 }
<a name="l00626"></a>00626 <span class="keywordflow">else</span> {
<a name="l00627"></a>00627 prev-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>=en-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>;
<a name="l00628"></a>00628 }
<a name="l00629"></a>00629 } <span class="comment">/* Remove_Element */</span>
<a name="l00630"></a>00630
<a name="l00631"></a>00631 <span class="comment">/* Remove validite domains and correspending ehrhart polynomials whitch are redundant after </span>
<a name="l00632"></a>00632 <span class="comment"> the enumeration of a polyhedron */</span>
<a name="l00633"></a>00633
<a name="l00634"></a><a class="code" href="ext__ehrhart_8c.html#ac56ec2d73ba6448ba16d5b51e2cc38a9">00634</a> <span class="keywordtype">void</span> <a class="code" href="ext__ehrhart_8c.html#ac56ec2d73ba6448ba16d5b51e2cc38a9">Remove_RedundantDomains</a> (<a class="code" href="struct__enumeration.html">Enumeration</a> **Ures) {
<a name="l00635"></a>00635 <a class="code" href="struct__enumeration.html">Enumeration</a> *ren1, *ren2, *previous=NULL;
<a name="l00636"></a>00636 <span class="keywordtype">int</span> red;
<a name="l00637"></a>00637 <span class="keywordflow">for</span> (ren1=*Ures; ren1; ren1=ren1-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>) {
<a name="l00638"></a>00638 red=0;
<a name="l00639"></a>00639 <span class="keywordflow">for</span> (ren2=*Ures; ren2; ren2=ren2-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>) {
<a name="l00640"></a>00640 <span class="keywordflow">if</span> (ren1!=ren2) {
<a name="l00641"></a>00641
<a name="l00642"></a>00642 <span class="keywordflow">if</span> (<a class="code" href="polyhedron_8c.html#a107a96d44465428ffcd25f1ab3d67b43">PolyhedronIncludes</a>(ren2-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>, ren1-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>)) {
<a name="l00643"></a>00643 red= 1;
<a name="l00644"></a>00644 <span class="keywordflow">break</span>;
<a name="l00645"></a>00645
<a name="l00646"></a>00646 }
<a name="l00647"></a>00647
<a name="l00648"></a>00648 }
<a name="l00649"></a>00649 }
<a name="l00650"></a>00650 <span class="keywordflow">if</span> (red) {
<a name="l00651"></a>00651 <a class="code" href="ext__ehrhart_8c.html#ae58a1dd711203df52a134ccb9ce7484d">Remove_Element</a>(ren1,Ures,previous);
<a name="l00652"></a>00652 }
<a name="l00653"></a>00653 previous=ren1;
<a name="l00654"></a>00654 }
<a name="l00655"></a>00655 }<span class="comment">/*Remove_RedendentDomains */</span>
<a name="l00656"></a>00656
<a name="l00657"></a>00657
<a name="l00658"></a><a class="code" href="ext__ehrhart_8c.html#a6d5c4fe13303527d0cf008cb4f0fa2d3">00658</a> <span class="keywordtype">int</span> <a class="code" href="ext__ehrhart_8c.html#a6d5c4fe13303527d0cf008cb4f0fa2d3">IncludeInRes</a> (<a class="code" href="structpolyhedron.html">Polyhedron</a> *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>, <a class="code" href="struct__enumeration.html">Enumeration</a> *e, <span class="keywordtype">unsigned</span> MR) {
<a name="l00659"></a>00659 <a class="code" href="struct__enumeration.html">Enumeration</a> *en;
<a name="l00660"></a>00660 <span class="keywordflow">for</span> (en=e; en; en=en-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>) {
<a name="l00661"></a>00661
<a name="l00662"></a>00662 <span class="keywordflow">if</span> (<a class="code" href="polyhedron_8c.html#a107a96d44465428ffcd25f1ab3d67b43">PolyhedronIncludes</a>(e-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>,p))
<a name="l00663"></a>00663 <span class="keywordflow">return</span> 1;
<a name="l00664"></a>00664 }
<a name="l00665"></a>00665 <span class="keywordflow">return</span> 0;
<a name="l00666"></a>00666 }
<a name="l00667"></a>00667
<a name="l00668"></a><a class="code" href="ext__ehrhart_8c.html#acebf00b847b32fd4c9454919fb5d7757">00668</a> <a class="code" href="structpolyhedron.html">Polyhedron</a> *<a class="code" href="ext__ehrhart_8c.html#acebf00b847b32fd4c9454919fb5d7757">DMUnion</a>(<a class="code" href="struct__enumeration.html">Enumeration</a> *en, <span class="keywordtype">unsigned</span> MR) {
<a name="l00669"></a>00669 <a class="code" href="struct__enumeration.html">Enumeration</a> *e1;
<a name="l00670"></a>00670 <a class="code" href="structpolyhedron.html">Polyhedron</a> *d;
<a name="l00671"></a>00671 e1=en;
<a name="l00672"></a>00672 d=e1-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>;
<a name="l00673"></a>00673 <span class="keywordflow">for</span> (e1=en-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>; e1; e1=e1-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>) {
<a name="l00674"></a>00674 d= <a class="code" href="polyhedron_8c.html#a6e402792ade8ef5e83a87d623f03c5cb">DomainUnion</a>( d, e1-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>, MR);
<a name="l00675"></a>00675 }
<a name="l00676"></a>00676 <span class="keywordflow">return</span> d;
<a name="l00677"></a>00677 }
<a name="l00678"></a>00678
<a name="l00679"></a>00679
<a name="l00680"></a><a class="code" href="ext__ehrhart_8c.html#a1dff2dadbb37fc12dcba692d8f60db31">00680</a> <span class="keywordtype">void</span> <a class="code" href="ext__ehrhart_8c.html#a1dff2dadbb37fc12dcba692d8f60db31">AffConstraints</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *Poldisj)
<a name="l00681"></a>00681 {
<a name="l00682"></a>00682 <a class="code" href="structpolyhedron.html">Polyhedron</a> *<a class="code" href="vector_8c.html#aa45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00683"></a>00683
<a name="l00684"></a>00684 <span class="keywordflow">for</span>(p=Poldisj;p;p=p-><a class="code" href="structpolyhedron.html#aab97126cb9e56431d40eaf4e68b3953d">next</a>)
<a name="l00685"></a>00685 {
<a name="l00686"></a>00686 <a class="code" href="polyhedron_8c.html#a2303f014f8cd948a950c920085135081">Polyhedron_PrintConstraints</a>( stdout, <a class="code" href="types_8h.html#ae6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>, p);
<a name="l00687"></a>00687 printf(<span class="stringliteral">"\n"</span>);
<a name="l00688"></a>00688 }
<a name="l00689"></a>00689 }
<a name="l00690"></a><a class="code" href="ext__ehrhart_8c.html#a5c578d9b28d554b35d712575311f3b30">00690</a> <span class="keywordtype">int</span> <a class="code" href="ext__ehrhart_8c.html#a5c578d9b28d554b35d712575311f3b30">Degenerate</a> (<a class="code" href="struct__enumeration.html">Enumeration</a> *en) {
<a name="l00691"></a>00691 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(en-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.<a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>)) {
<a name="l00692"></a>00692
<a name="l00693"></a>00693 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a0a56519397244e2bc48e480bcd2f2a63">value_mone_p</a>(en-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.x.n )) {
<a name="l00694"></a>00694 <span class="keywordflow">return</span> 1;
<a name="l00695"></a>00695 }
<a name="l00696"></a>00696 }
<a name="l00697"></a>00697 <span class="keywordflow">return</span> 0;
<a name="l00698"></a>00698 }
<a name="l00699"></a>00699
<a name="l00700"></a>00700 <span class="comment">/* Enumeration of a domain D */</span>
<a name="l00701"></a>00701
<a name="l00702"></a><a class="code" href="ext__ehrhart_8h.html#a1a7c95208634df638d39a6656d4abb76">00702</a> <a class="code" href="struct__enumeration.html">Enumeration</a> *<a class="code" href="ext__ehrhart_8c.html#a1a7c95208634df638d39a6656d4abb76">Domain_Enumerate</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *D, <a class="code" href="structpolyhedron.html">Polyhedron</a> *C, <span class="keywordtype">unsigned</span> <a class="code" href="verif__ehrhart_8c.html#a89fd83aa168651629c012d8655635588">MAXRAYS</a>,
<a name="l00703"></a>00703 <span class="keyword">const</span> <span class="keywordtype">char</span> **pn)
<a name="l00704"></a>00704 { <a class="code" href="struct__Polyhedron__union.html">Polyhedron_union</a> *Polun,*pu;
<a name="l00705"></a>00705 <a class="code" href="structpolyhedron.html">Polyhedron</a> *lp, *lp1, *lp1next;
<a name="l00706"></a>00706 <a class="code" href="structpolyhedron.html">Polyhedron</a> *d1,*d2,*d;
<a name="l00707"></a>00707 <a class="code" href="struct__enumeration.html">Enumeration</a> *e,*pr,*en,*en1, *en2,*tmp, *res, *sen;
<a name="l00708"></a>00708 Polun=NULL;
<a name="l00709"></a>00709
<a name="l00710"></a>00710 <span class="keywordflow">for</span> (d = D; d; d = d-><a class="code" href="structpolyhedron.html#aab97126cb9e56431d40eaf4e68b3953d">next</a>) {
<a name="l00711"></a>00711 <a class="code" href="polyhedron_8h.html#a729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(d);
<a name="l00712"></a>00712 <a class="code" href="polyhedron_8h.html#a317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(d);
<a name="l00713"></a>00713 }
<a name="l00714"></a>00714 <a class="code" href="polyhedron_8h.html#a729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(C);
<a name="l00715"></a>00715 <a class="code" href="polyhedron_8h.html#a317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(C);
<a name="l00716"></a>00716
<a name="l00717"></a>00717 lp = <a class="code" href="polyhedron_8c.html#aa2db71a574d8c1b1c3d90df140f1e5fd">Disjoint_Domain</a>( D, 0, MAXRAYS );
<a name="l00718"></a>00718
<a name="l00719"></a>00719 <span class="preprocessor">#ifdef UE_DEBUG</span>
<a name="l00720"></a>00720 <span class="preprocessor"></span> printf(<span class="stringliteral">"##############################################################\n"</span>);
<a name="l00721"></a>00721 printf(<span class="stringliteral">"\n###### DISJOINT UNION ######\n\n"</span>);
<a name="l00722"></a>00722 <a class="code" href="ext__ehrhart_8c.html#a1dff2dadbb37fc12dcba692d8f60db31">AffConstraints</a>(lp);
<a name="l00723"></a>00723 printf(<span class="stringliteral">"##############################################################\n"</span>);
<a name="l00724"></a>00724 <span class="preprocessor">#endif</span>
<a name="l00725"></a>00725 <span class="preprocessor"></span>
<a name="l00726"></a>00726 <span class="keywordflow">for</span> (lp1=lp ; lp1; lp1=lp1-><a class="code" href="structpolyhedron.html#aab97126cb9e56431d40eaf4e68b3953d">next</a>)
<a name="l00727"></a>00727 {
<a name="l00728"></a>00728 <a class="code" href="struct__enumeration.html">Enumeration</a> *enext;
<a name="l00729"></a>00729 lp1next = lp1-><a class="code" href="structpolyhedron.html#aab97126cb9e56431d40eaf4e68b3953d">next</a>;
<a name="l00730"></a>00730 lp1-><a class="code" href="structpolyhedron.html#aab97126cb9e56431d40eaf4e68b3953d">next</a> = NULL;
<a name="l00731"></a>00731 en= <a class="code" href="ehrhart_8c.html#a3c3e442b1d2c924f03f02f9e9283141a" title="Procedure to count points in a parameterized polytope.">Polyhedron_Enumerate</a>(lp1, C, MAXRAYS,NULL);
<a name="l00732"></a>00732 lp1-><a class="code" href="structpolyhedron.html#aab97126cb9e56431d40eaf4e68b3953d">next</a> = lp1next;
<a name="l00733"></a>00733 sen= NULL;
<a name="l00734"></a>00734 <span class="keywordflow">for</span> (e=en;e;e=enext) {
<a name="l00735"></a>00735 enext = e-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>;
<a name="l00736"></a>00736 <span class="keywordflow">if</span> (!<a class="code" href="ext__ehrhart_8c.html#a5c578d9b28d554b35d712575311f3b30">Degenerate</a>(e)) {
<a name="l00737"></a>00737 e-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a> = sen;
<a name="l00738"></a>00738 sen=e;
<a name="l00739"></a>00739 } <span class="keywordflow">else</span> {
<a name="l00740"></a>00740 <a class="code" href="ehrhart_8c.html#a96434ed8279f7999773fa3343cfe98b8" title="releases all memory referenced by e.">free_evalue_refs</a>(&e-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>);
<a name="l00741"></a>00741 <a class="code" href="polyhedron_8c.html#ae6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(e-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>);
<a name="l00742"></a>00742 free(e);
<a name="l00743"></a>00743 }
<a name="l00744"></a>00744 }
<a name="l00745"></a>00745
<a name="l00746"></a>00746 <span class="keywordflow">if</span>(sen!= NULL)
<a name="l00747"></a>00747 {
<a name="l00748"></a>00748 pu = (<a class="code" href="struct__Polyhedron__union.html">Polyhedron_union</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="struct__Polyhedron__union.html">Polyhedron_union</a>));
<a name="l00749"></a>00749 pu-><a class="code" href="struct__Polyhedron__union.html#a6ae7500fadbcecc36c7127b75f5dc336">pt</a>=sen;
<a name="l00750"></a>00750 pu-><a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">next</a> = Polun;
<a name="l00751"></a>00751 Polun = pu;
<a name="l00752"></a>00752 }
<a name="l00753"></a>00753 }
<a name="l00754"></a>00754 <span class="keywordflow">if</span>(!Polun)
<a name="l00755"></a>00755 {
<a name="l00756"></a>00756 <span class="preprocessor">#ifdef UE_DEBUG</span>
<a name="l00757"></a>00757 <span class="preprocessor"></span> fprintf(stdout,<span class="stringliteral">"Empty Polun\n"</span>);
<a name="l00758"></a>00758 <span class="preprocessor">#endif</span>
<a name="l00759"></a>00759 <span class="preprocessor"></span> <span class="keywordflow">return</span> ((<a class="code" href="struct__enumeration.html">Enumeration</a> *) 0);
<a name="l00760"></a>00760 }
<a name="l00761"></a>00761
<a name="l00762"></a>00762 <span class="keywordflow">while</span>(Polun-><a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">next</a> != NULL) {
<a name="l00763"></a>00763 <a class="code" href="struct__enumeration.html">Enumeration</a> *enext;
<a name="l00764"></a>00764 res=NULL;
<a name="l00765"></a>00765 en1=Polun-><a class="code" href="struct__Polyhedron__union.html#a6ae7500fadbcecc36c7127b75f5dc336">pt</a>;
<a name="l00766"></a>00766 en2=(Polun-><a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">next</a>)-><a class="code" href="struct__Polyhedron__union.html#a6ae7500fadbcecc36c7127b75f5dc336">pt</a>;
<a name="l00767"></a>00767
<a name="l00768"></a>00768 d1=<a class="code" href="ext__ehrhart_8c.html#acebf00b847b32fd4c9454919fb5d7757">DMUnion</a>(en1, MAXRAYS);
<a name="l00769"></a>00769 d2=<a class="code" href="ext__ehrhart_8c.html#acebf00b847b32fd4c9454919fb5d7757">DMUnion</a>(en2, MAXRAYS);
<a name="l00770"></a>00770
<a name="l00771"></a>00771 <span class="keywordflow">for</span> (en1=Polun-><a class="code" href="struct__Polyhedron__union.html#a6ae7500fadbcecc36c7127b75f5dc336">pt</a>;en1;en1=enext) {
<a name="l00772"></a>00772 enext = en1-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>;
<a name="l00773"></a>00773 <span class="keywordflow">for</span>(en2=(Polun-><a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">next</a>)->pt;en2;en2=en2-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>)
<a name="l00774"></a>00774 {
<a name="l00775"></a>00775 d = <a class="code" href="polyhedron_8c.html#ac5a1a2751f0b833183560af25b18033b">DomainIntersection</a>(en1-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>,en2-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>,MAXRAYS);
<a name="l00776"></a>00776 <span class="keywordflow">if</span>( d && !<a class="code" href="types_8h.html#a156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(d)&&!<a class="code" href="ext__ehrhart_8c.html#a6d5c4fe13303527d0cf008cb4f0fa2d3">IncludeInRes</a>(d,res,MAXRAYS)) {
<a name="l00777"></a>00777 tmp = (<a class="code" href="struct__enumeration.html">Enumeration</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="struct__enumeration.html">Enumeration</a>));
<a name="l00778"></a>00778 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.<a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>);
<a name="l00779"></a>00779 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>( tmp-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.<a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>, en2-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.<a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a> );
<a name="l00780"></a>00780 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(tmp-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.<a class="code" href="struct__evalue.html#ae4aada7b06d44dcbf9f4d2daf1834e29">d</a>))
<a name="l00781"></a>00781 tmp-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.x.p=<a class="code" href="ehrhart_8c.html#ac94c9f3a408511c6ea5defdc47eb6563">ecopy</a>(en2-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.x.p);
<a name="l00782"></a>00782 <span class="keywordflow">else</span>
<a name="l00783"></a>00783 {
<a name="l00784"></a>00784 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.x.n);
<a name="l00785"></a>00785 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>( tmp-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.x.n, en2-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>.x.n );
<a name="l00786"></a>00786 }
<a name="l00787"></a>00787
<a name="l00788"></a>00788 <a class="code" href="ext__ehrhart_8c.html#a1758d39c40dcdf8916517a34133f54e8">new_eadd</a>(&en1-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>,&tmp-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>);
<a name="l00789"></a>00789 tmp-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a> =d;
<a name="l00790"></a>00790 tmp-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>= res;
<a name="l00791"></a>00791 res=tmp;
<a name="l00792"></a>00792 }
<a name="l00793"></a>00793 }
<a name="l00794"></a>00794 d=<a class="code" href="polyhedron_8c.html#aaaefa8685a2b2819b9863f2e4ff427f5">DomainDifference</a>(en1-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>,d2 ,MAXRAYS);
<a name="l00795"></a>00795 <span class="keywordflow">if</span> (d && !<a class="code" href="types_8h.html#a156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(d) && !<a class="code" href="ext__ehrhart_8c.html#a6d5c4fe13303527d0cf008cb4f0fa2d3">IncludeInRes</a>(d,res,MAXRAYS)) {
<a name="l00796"></a>00796 en1-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a> = d;
<a name="l00797"></a>00797 en1-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>= res;
<a name="l00798"></a>00798 res=en1;
<a name="l00799"></a>00799 } <span class="keywordflow">else</span> {
<a name="l00800"></a>00800 <a class="code" href="ehrhart_8c.html#a96434ed8279f7999773fa3343cfe98b8" title="releases all memory referenced by e.">free_evalue_refs</a>(&en1-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>);
<a name="l00801"></a>00801 free(en1);
<a name="l00802"></a>00802 }
<a name="l00803"></a>00803 }
<a name="l00804"></a>00804 <span class="keywordflow">for</span> (en2=(Polun-><a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">next</a>)->pt; en2; en2 = enext) {
<a name="l00805"></a>00805 enext = en2-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a>;
<a name="l00806"></a>00806 d= <a class="code" href="polyhedron_8c.html#aaaefa8685a2b2819b9863f2e4ff427f5">DomainDifference</a>(en2-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a>,d1,MAXRAYS);
<a name="l00807"></a>00807 <span class="keywordflow">if</span> (d && !<a class="code" href="types_8h.html#a156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(d)&&!<a class="code" href="ext__ehrhart_8c.html#a6d5c4fe13303527d0cf008cb4f0fa2d3">IncludeInRes</a>(d,res,MAXRAYS)) {
<a name="l00808"></a>00808 en2-><a class="code" href="struct__enumeration.html#a57e35419d63ab12898542ef58d8decac">ValidityDomain</a> = d;
<a name="l00809"></a>00809 en2-><a class="code" href="struct__enumeration.html#ad2fd42474e015c9abc6aea0e2bea08b8">next</a> = res;
<a name="l00810"></a>00810 res = en2;
<a name="l00811"></a>00811 } <span class="keywordflow">else</span> {
<a name="l00812"></a>00812 <a class="code" href="ehrhart_8c.html#a96434ed8279f7999773fa3343cfe98b8" title="releases all memory referenced by e.">free_evalue_refs</a>(&en2-><a class="code" href="struct__enumeration.html#aa499b062a10ce16356e9b52d25cae0d9">EP</a>);
<a name="l00813"></a>00813 free(en2);
<a name="l00814"></a>00814 }
<a name="l00815"></a>00815 }
<a name="l00816"></a>00816 <a class="code" href="polyhedron_8c.html#ae6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(d1);
<a name="l00817"></a>00817 <a class="code" href="polyhedron_8c.html#ae6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(d2);
<a name="l00818"></a>00818
<a name="l00819"></a>00819 Polun-><a class="code" href="struct__Polyhedron__union.html#a6ae7500fadbcecc36c7127b75f5dc336">pt</a>=res;
<a name="l00820"></a>00820
<a name="l00821"></a>00821 Polun-><a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">next</a>= (Polun-><a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">next</a>)-><a class="code" href="struct__Polyhedron__union.html#affbcb1037b57c76b80f1017533dd58e7">next</a>;
<a name="l00822"></a>00822 }
<a name="l00823"></a>00823 res=Polun-><a class="code" href="struct__Polyhedron__union.html#a6ae7500fadbcecc36c7127b75f5dc336">pt</a>;
<a name="l00824"></a>00824
<a name="l00825"></a>00825 <a class="code" href="ext__ehrhart_8c.html#ac56ec2d73ba6448ba16d5b51e2cc38a9">Remove_RedundantDomains</a>(&res);
<a name="l00826"></a>00826 <span class="keywordflow">return</span>(res);
<a name="l00827"></a>00827 }
<a name="l00828"></a>00828
<a name="l00829"></a>00829
<a name="l00830"></a>00830 <span class="comment">/**********</span>
<a name="l00831"></a>00831 <span class="comment"> DO NOT USE THE FOLLOWING FUNCTION IT'S NOT WORKING PROPERLY YET.</span>
<a name="l00832"></a>00832 <span class="comment"> **********/</span>
<a name="l00833"></a>00833
<a name="l00834"></a>00834 <span class="comment">/* Enumeration of the image by T of domain D */</span>
<a name="l00835"></a><a class="code" href="ext__ehrhart_8c.html#a0d5dad50628eee411cda4622dabcb6d7">00835</a> <a class="code" href="struct__enumeration.html">Enumeration</a> *<a class="code" href="ext__ehrhart_8c.html#a0d5dad50628eee411cda4622dabcb6d7">Polyhedron_Image_Enumerate</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *D, <a class="code" href="structpolyhedron.html">Polyhedron</a> *C, <a class="code" href="structmatrix.html">Matrix</a> *T, <span class="keywordtype">unsigned</span> <a class="code" href="verif__ehrhart_8c.html#a89fd83aa168651629c012d8655635588">MAXRAYS</a>, <span class="keyword">const</span> <span class="keywordtype">char</span> **par_name)
<a name="l00836"></a>00836 { <a class="code" href="structpolyhedron.html">Polyhedron</a> *polun,*pol;
<a name="l00837"></a>00837 <a class="code" href="struct__enumeration.html">Enumeration</a> *ee;
<a name="l00838"></a>00838 <a class="code" href="structmatrix.html">Matrix</a> *TCopy,*Tred, *d1,*d;
<a name="l00839"></a>00839 <a class="code" href="structVector.html">Vector</a> *v1,*v2;
<a name="l00840"></a>00840 Value h;
<a name="l00841"></a>00841 <span class="keywordtype">int</span> i,j,k;
<a name="l00842"></a>00842
<a name="l00843"></a>00843 <a class="code" href="polyhedron_8h.html#a729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(D);
<a name="l00844"></a>00844 <a class="code" href="polyhedron_8h.html#a317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(D);
<a name="l00845"></a>00845 <a class="code" href="polyhedron_8h.html#a729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(C);
<a name="l00846"></a>00846 <a class="code" href="polyhedron_8h.html#a317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(C);
<a name="l00847"></a>00847
<a name="l00848"></a>00848 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(h);
<a name="l00849"></a>00849 <span class="keywordflow">if</span>(!D) {
<a name="l00850"></a>00850 fprintf(stdout,<span class="stringliteral">" Error: in reading input domain \n"</span>);
<a name="l00851"></a>00851 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00852"></a>00852 <span class="keywordflow">return</span> ((<a class="code" href="struct__enumeration.html">Enumeration</a> *) 0);
<a name="l00853"></a>00853 }
<a name="l00854"></a>00854 <span class="keywordflow">else</span> {
<a name="l00855"></a>00855 printf(<span class="stringliteral">"\n ################ INPUT POLYHEDRON #######################\n\n"</span>);
<a name="l00856"></a>00856 <a class="code" href="ext__ehrhart_8c.html#a1dff2dadbb37fc12dcba692d8f60db31">AffConstraints</a>(D);
<a name="l00857"></a>00857 }
<a name="l00858"></a>00858
<a name="l00859"></a>00859 <span class="preprocessor">#ifdef DOMAIN_IMAGE</span>
<a name="l00860"></a>00860 <span class="preprocessor"></span> fpol=<a class="code" href="polyhedron_8c.html#a8b92d94a0a1cbd47b98e9f72f34c43eb">DomainImage</a>(D,T,MAXRAYS);
<a name="l00861"></a>00861 printf(<span class="stringliteral">"\n $$$$$$$$$$$$$ THE DOMAIN IMAGE $$$$$$$$$$$$$\n\n"</span>);
<a name="l00862"></a>00862 <a class="code" href="ext__ehrhart_8c.html#a1dff2dadbb37fc12dcba692d8f60db31">AffConstraints</a>(fpol);
<a name="l00863"></a>00863 <span class="keywordflow">if</span>(<a class="code" href="types_8h.html#a156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(fpol)) {
<a name="l00864"></a>00864 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00865"></a>00865 <span class="keywordflow">return</span> ((<a class="code" href="struct__enumeration.html">Enumeration</a> *) 0);
<a name="l00866"></a>00866 }
<a name="l00867"></a>00867 ee = <a class="code" href="ext__ehrhart_8c.html#a1a7c95208634df638d39a6656d4abb76">Domain_Enumerate</a>(fpol,C,MAXRAYS,par_name);
<a name="l00868"></a>00868 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00869"></a>00869 <span class="keywordflow">return</span> (ee);
<a name="l00870"></a>00870 <span class="preprocessor">#endif</span>
<a name="l00871"></a>00871 <span class="preprocessor"></span>
<a name="l00872"></a>00872 TCopy= <a class="code" href="Matop_8c.html#a9d027e9fc6b85e6fa37fc284bf1b5e06">Matrix_Copy</a>(T);
<a name="l00873"></a>00873 Tred= <a class="code" href="ext__ehrhart_8c.html#ada49ee072a02798c5557853034894158">Reduce_Matrix</a>(TCopy);
<a name="l00874"></a>00874 printf(<span class="stringliteral">"\n ################## INPUT REDUCED TRANSFORMATION MATRIX ##################\n"</span> );
<a name="l00875"></a>00875 <a class="code" href="matrix_8c.html#ad4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stdout,<a class="code" href="types_8h.html#ae6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,Tred);
<a name="l00876"></a>00876
<a name="l00877"></a>00877 <span class="keywordflow">if</span> (Tred-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a> <Tred-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>) {
<a name="l00878"></a>00878 d1=(<a class="code" href="structmatrix.html">Matrix</a> *) <a class="code" href="matrix_8c.html#ac0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(Tred-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>,Tred-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>);
<a name="l00879"></a>00879 <span class="keywordflow">for</span> (i=0;i<Tred-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>;i++) {
<a name="l00880"></a>00880 <span class="keywordflow">for</span> (j=0; j<Tred-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;j++) {
<a name="l00881"></a>00881 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>( d1-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j], Tred-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j] );
<a name="l00882"></a>00882 }
<a name="l00883"></a>00883 }
<a name="l00884"></a>00884 <span class="keywordflow">for</span>(i=Tred-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>;i<Tred->NbColumns;i++) {
<a name="l00885"></a>00885 <span class="keywordflow">for</span> (j=0;j<Tred-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;j++) {
<a name="l00886"></a>00886 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>( d1-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j], 0 );
<a name="l00887"></a>00887 }
<a name="l00888"></a>00888 }
<a name="l00889"></a>00889 d= (<a class="code" href="structmatrix.html">Matrix</a> *) <a class="code" href="ext__ehrhart_8c.html#a301fdd12d3f7b14a8560c147426ab915">CalcBase</a>(d1);
<a name="l00890"></a>00890 <a class="code" href="matrix_8c.html#afcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(Tred);
<a name="l00891"></a>00891 <a class="code" href="matrix_8c.html#afcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(d1);
<a name="l00892"></a>00892
<a name="l00893"></a>00893 }
<a name="l00894"></a>00894 <span class="keywordflow">else</span> {
<a name="l00895"></a>00895 d=(<a class="code" href="structmatrix.html">Matrix</a> *) <a class="code" href="ext__ehrhart_8c.html#a301fdd12d3f7b14a8560c147426ab915">CalcBase</a>(Tred);
<a name="l00896"></a>00896 <a class="code" href="matrix_8c.html#afcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(Tred);
<a name="l00897"></a>00897 }
<a name="l00898"></a>00898 <span class="keywordflow">if</span>(d-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>==0) {
<a name="l00899"></a>00899 <span class="keywordflow">if</span>(<a class="code" href="types_8h.html#a156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(D)) {
<a name="l00900"></a>00900 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00901"></a>00901 <span class="keywordflow">return</span> ((<a class="code" href="struct__enumeration.html">Enumeration</a> *) 0);
<a name="l00902"></a>00902 }
<a name="l00903"></a>00903 <span class="keywordflow">else</span> {
<a name="l00904"></a>00904 printf( <span class="stringliteral">" Ker(A)=0 implys directly Enumeration on input polyhedron\n\n"</span>);
<a name="l00905"></a>00905 ee=<a class="code" href="ext__ehrhart_8c.html#a1a7c95208634df638d39a6656d4abb76">Domain_Enumerate</a>(D,C,MAXRAYS,par_name);
<a name="l00906"></a>00906 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00907"></a>00907 <span class="keywordflow">return</span> ee;
<a name="l00908"></a>00908 }
<a name="l00909"></a>00909 }
<a name="l00910"></a>00910
<a name="l00911"></a>00911 d1=<a class="code" href="Matop_8c.html#ab635a9108899776e30e1de03fe183915">Transpose</a>(d);
<a name="l00912"></a>00912 <a class="code" href="matrix_8c.html#afcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(d);
<a name="l00913"></a>00913
<a name="l00914"></a>00914 <span class="keywordflow">if</span>(d1-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>!=D-><a class="code" href="structpolyhedron.html#a2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>) {
<a name="l00915"></a>00915 fprintf(stdout,<span class="stringliteral">" \n Error: incompatible dimension \n"</span>);
<a name="l00916"></a>00916 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00917"></a>00917 <span class="keywordflow">return</span> ((<a class="code" href="struct__enumeration.html">Enumeration</a> *) 0);
<a name="l00918"></a>00918 }
<a name="l00919"></a>00919 <span class="keywordflow">if</span>(d1-><a class="code" href="structmatrix.html#a68858fd3b57684ef38bdfce13c65d182">NbColumns</a> > 1) {
<a name="l00920"></a>00920 fprintf(stdout,<span class="stringliteral">" \n Error: Can not compute int�gral points : More then vector in ker(A)! \n"</span>);
<a name="l00921"></a>00921 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00922"></a>00922 <span class="keywordflow">return</span> ((<a class="code" href="struct__enumeration.html">Enumeration</a> *) 0);
<a name="l00923"></a>00923
<a name="l00924"></a>00924 }
<a name="l00925"></a>00925 printf( <span class="stringliteral">" \n Ker(A)=1 implys adding constraints befor Enumeration\n"</span>);
<a name="l00926"></a>00926 v1=<a class="code" href="vector_8c.html#a358c545236f58b1001479e4a69d318aa">Vector_Alloc</a>(d1-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>);
<a name="l00927"></a>00927 v2=<a class="code" href="vector_8c.html#a358c545236f58b1001479e4a69d318aa">Vector_Alloc</a>(d1-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>);
<a name="l00928"></a>00928
<a name="l00929"></a>00929 polun=(<a class="code" href="structpolyhedron.html">Polyhedron</a> *) NULL;
<a name="l00930"></a>00930 <span class="keywordflow">for</span> (k=0;k<d1-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>;k++) {
<a name="l00931"></a>00931 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(v1-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],d1-><a class="code" href="structmatrix.html#a2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][0]) ;
<a name="l00932"></a>00932 }
<a name="l00933"></a>00933 <span class="comment">/* adding a new constraint for all constraints of D in which the scalar product of the*/</span>
<a name="l00934"></a>00934 <span class="comment">/* normal whith vector v1 is greter then zero*/</span>
<a name="l00935"></a>00935
<a name="l00936"></a>00936 <span class="keywordflow">for</span> (j=0;j<D-><a class="code" href="structpolyhedron.html#a2db05293e731089b9198d45cf027bd1c">NbConstraints</a>;j++) {
<a name="l00937"></a>00937 <span class="keywordflow">for</span> (k=0;k<=D-><a class="code" href="structpolyhedron.html#a2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>-1;k++) {
<a name="l00938"></a>00938 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a>(v2-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k],D-><a class="code" href="structpolyhedron.html#ab2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[j][k+1]) ;
<a name="l00939"></a>00939 }
<a name="l00940"></a>00940 <a class="code" href="ext__ehrhart_8c.html#a3c8687093fe77f61c70d3d52f2867a71">Scalar_product</a>(v1-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>,v2-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>,D-><a class="code" href="structpolyhedron.html#a2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>,&h);
<a name="l00941"></a>00941
<a name="l00942"></a>00942 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#a01904c8c75c10d407a24c55f16ec27c7">value_pos_p</a>(h)&&!<a class="code" href="source_2arith_2arithmetique_8h.html#a827532f2140ae2aa96e46baebae09723">value_zero_p</a>(D-><a class="code" href="structpolyhedron.html#ab2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[j][0])) {
<a name="l00943"></a>00943 <a class="code" href="structVector.html">Vector</a> *NCont;
<a name="l00944"></a>00944 Value val;
<a name="l00945"></a>00945 <a class="code" href="source_2arith_2arithmetique_8h.html#af71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>( val );
<a name="l00946"></a>00946 <span class="comment">/* Create a new contraint whitch is added to the polyhedron*/</span>
<a name="l00947"></a>00947
<a name="l00948"></a>00948 NCont=<a class="code" href="vector_8c.html#a358c545236f58b1001479e4a69d318aa">Vector_Alloc</a>(d1-><a class="code" href="structmatrix.html#a16ad614d15c6e81c0041e877b623c72d">NbRows</a>+2);
<a name="l00949"></a>00949 <a class="code" href="source_2arith_2arithmetique_8h.html#a8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>( NCont-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[0],1); <span class="comment">/* the constraint is an inequality */</span>
<a name="l00950"></a>00950
<a name="l00951"></a>00951 <span class="keywordflow">for</span> (k=1;k<=D-><a class="code" href="structpolyhedron.html#a2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>;k++) {
<a name="l00952"></a>00952 <a class="code" href="source_2arith_2arithmetique_8h.html#a0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>( NCont-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[k], D-><a class="code" href="structpolyhedron.html#ab2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[j][k]);
<a name="l00953"></a>00953 }
<a name="l00954"></a>00954 <a class="code" href="source_2arith_2arithmetique_8h.html#a7e293e9652086118cc5b660e6022767c">value_decrement</a>(val,h);
<a name="l00955"></a>00955 <a class="code" href="source_2arith_2arithmetique_8h.html#ae92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(val,val,D-><a class="code" href="structpolyhedron.html#ab2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[j][D-><a class="code" href="structpolyhedron.html#a2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>+1]);
<a name="l00956"></a>00956 <a class="code" href="source_2arith_2arithmetique_8h.html#a864613888dc46f15679aa4f63e468f89">value_assign</a> (NCont-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>[D-><a class="code" href="structpolyhedron.html#a2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>+1],val);
<a name="l00957"></a>00957 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(val);
<a name="l00958"></a>00958 <span class="comment">/* add the new constraint to polyhedron D */</span>
<a name="l00959"></a>00959 pol=<a class="code" href="polyhedron_8c.html#a9690baafb863abbd2e8d5c4da2995416">AddConstraints</a>(NCont-><a class="code" href="structVector.html#aecf9fddd3ad47d143da2e041fdff37cc">p</a>,1,D,MAXRAYS);
<a name="l00960"></a>00960 <a class="code" href="polyhedron_8h.html#a317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(pol);
<a name="l00961"></a>00961 polun=<a class="code" href="polyhedron_8c.html#a965fd466bed4b1dd143c426e51ac16c5">AddPolyToDomain</a>(<a class="code" href="polyhedron_8c.html#ab0f89a51f01cea6b93b8fb3ab43feca3">Polyhedron_Copy</a>(pol),polun);
<a name="l00962"></a>00962 <a class="code" href="polyhedron_8c.html#a4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(pol);
<a name="l00963"></a>00963 <a class="code" href="vector_8c.html#a055608d1a3726b7cb26e3e8074764ba0">Vector_Free</a>(NCont);
<a name="l00964"></a>00964 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>( val );
<a name="l00965"></a>00965 }
<a name="l00966"></a>00966 }
<a name="l00967"></a>00967 <span class="keywordflow">if</span>(polun==NULL) { <span class="comment">/* No constraint is added to input polyhedron */</span>
<a name="l00968"></a>00968 <span class="keywordflow">if</span>(<a class="code" href="types_8h.html#a156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(D)) {
<a name="l00969"></a>00969 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00970"></a>00970 <span class="keywordflow">return</span> ((<a class="code" href="struct__enumeration.html">Enumeration</a> *) 0);
<a name="l00971"></a>00971 }
<a name="l00972"></a>00972 <span class="keywordflow">else</span> {
<a name="l00973"></a>00973 ee= <a class="code" href="ext__ehrhart_8c.html#a1a7c95208634df638d39a6656d4abb76">Domain_Enumerate</a>(D,C,MAXRAYS,par_name);
<a name="l00974"></a>00974 }
<a name="l00975"></a>00975 }
<a name="l00976"></a>00976 <span class="keywordflow">else</span> { <span class="comment">/* some constraintes are added to input polyhedron */</span>
<a name="l00977"></a>00977 <span class="keywordflow">if</span>(<a class="code" href="types_8h.html#a156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(polun)){
<a name="l00978"></a>00978 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00979"></a>00979 <span class="keywordflow">return</span> ((<a class="code" href="struct__enumeration.html">Enumeration</a> *) 0);
<a name="l00980"></a>00980 }
<a name="l00981"></a>00981 <span class="keywordflow">else</span> {
<a name="l00982"></a>00982 printf(<span class="stringliteral">"\n ##################################################################"</span>);
<a name="l00983"></a>00983 printf(<span class="stringliteral">"\n ****** THE RESULT OF ADDING CONSTRAINTS TO THE INPUT POLYHEDRON ****** \n"</span>);
<a name="l00984"></a>00984 <a class="code" href="ext__ehrhart_8c.html#a1dff2dadbb37fc12dcba692d8f60db31">AffConstraints</a>(polun);
<a name="l00985"></a>00985 ee= <a class="code" href="ext__ehrhart_8c.html#a1a7c95208634df638d39a6656d4abb76">Domain_Enumerate</a>(polun,C,MAXRAYS,par_name);
<a name="l00986"></a>00986 <a class="code" href="source_2arith_2arithmetique_8h.html#ab9b282921e85a0527d462d331533d619">value_clear</a>(h);
<a name="l00987"></a>00987 <span class="keywordflow">return</span> (ee );
<a name="l00988"></a>00988 }
<a name="l00989"></a>00989 }
<a name="l00990"></a>00990
<a name="l00991"></a>00991
<a name="l00992"></a>00992 <span class="keywordflow">return</span>( NULL );
<a name="l00993"></a>00993 }
<a name="l00994"></a>00994
<a name="l00995"></a>00995
</pre></div></div>
<hr size="1"/><address style="text-align: right;"><small>Generated on Wed Nov 25 17:45:25 2009 for polylib by
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