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<h1>polyparam.c</h1><a href="polyparam_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">/* Parametrized polyhedra V4.20 */</span>
<a name="l00003"></a>00003 <span class="comment">/* copyright 1995-2000 Vincent Loechner */</span>
<a name="l00004"></a>00004 <span class="comment">/* copyright 1996-1997, Doran Wilde */</span>
<a name="l00005"></a>00005 <span class="comment">/* Permission is granted to copy, use, and distribute */</span>
<a name="l00006"></a>00006 <span class="comment">/* for any commercial or noncommercial purpose under the terms */</span>
<a name="l00007"></a>00007 <span class="comment">/* of the GNU General Public license, version 2, June 1991 */</span>
<a name="l00008"></a>00008 <span class="comment">/* (see file : LICENSING). */</span>
<a name="l00009"></a>00009 <span class="comment">/***********************************************************************/</span>
<a name="l00010"></a>00010
<a name="l00011"></a>00011 <span class="comment">/********************* -----------USER #DEFS-------- ***********************/</span>
<a name="l00012"></a>00012 <span class="comment">/* These are mainly for debug purposes. You shouldn't need to change */</span>
<a name="l00013"></a>00013 <span class="comment">/* anything for daily usage... */</span>
<a name="l00014"></a>00014 <span class="comment">/***************************************************************************/</span>
<a name="l00015"></a>00015
<a name="l00016"></a>00016 <span class="comment">/* you may define each macro independently */</span>
<a name="l00017"></a>00017 <span class="comment">/* #define DEBUGPP */</span>
<a name="l00018"></a>00018 <span class="comment">/* #define DEBUGPP3 */</span> <span class="comment">/* initialization of domain, context, ... */</span>
<a name="l00019"></a>00019 <span class="comment">/* #define DEBUGPP31 */</span> <span class="comment">/* even more init-domains */</span>
<a name="l00020"></a>00020 <span class="comment">/* #define DEBUGPP32 */</span> <span class="comment">/* even even more... (Elim_Columns) */</span>
<a name="l00021"></a>00021 <span class="comment">/* #define DEBUGPP4 */</span> <span class="comment">/* m-faces scan */</span>
<a name="l00022"></a>00022 <span class="comment">/* #define DEBUGPP41 */</span> <span class="comment">/* inverse Di in scan */</span>
<a name="l00023"></a>00023 <span class="comment">/* #define DEBUGPP5 */</span> <span class="comment">/* Compute_PDomains */</span>
<a name="l00024"></a>00024 <span class="comment">/********************* ---------END USER #DEFS------ ***********************/</span>
<a name="l00025"></a>00025
<a name="l00026"></a>00026 <span class="preprocessor">#include <stdio.h></span>
<a name="l00027"></a>00027 <span class="preprocessor">#include <stdlib.h></span>
<a name="l00028"></a>00028 <span class="preprocessor">#include <string.h></span>
<a name="l00029"></a>00029 <span class="preprocessor">#include <<a class="code" href="assert_8h.html">assert.h</a>></span>
<a name="l00030"></a>00030 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l00031"></a>00031 <span class="preprocessor"></span><span class="preprocessor">#include <time.h></span>
<a name="l00032"></a>00032 <span class="preprocessor">#endif</span>
<a name="l00033"></a>00033 <span class="preprocessor"></span>
<a name="l00034"></a>00034 <span class="preprocessor">#include <<a class="code" href="polylib_8h.html">polylib/polylib.h</a>></span>
<a name="l00035"></a>00035
<a name="l00036"></a>00036 <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#271323dd73589f835a5b4deac911a0af">traite_m_face</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *);
<a name="l00037"></a>00037 <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#da73886adcb8cc6d3e6f42555ed64689">scan_m_face</a>(<span class="keywordtype">int</span>,<span class="keywordtype">int</span>,<a class="code" href="structpolyhedron.html">Polyhedron</a> *,<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *);
<a name="l00038"></a>00038
<a name="l00039"></a>00039 <span class="comment">/*</span>
<a name="l00040"></a>00040 <span class="comment"> * Return the intersection of two polyhedral domains 'Pol1' and 'Pol2' such </span>
<a name="l00041"></a>00041 <span class="comment"> * that if the intersection is a polyhedron of lower dimension (a degenerate</span>
<a name="l00042"></a>00042 <span class="comment"> * polyhedron) than the operands, it is discarded from the resulting polyhedra</span>
<a name="l00043"></a>00043 <span class="comment"> * list. </span>
<a name="l00044"></a>00044 <span class="comment"> */</span>
<a name="l00045"></a><a class="code" href="polyparam_8h.html#6b9861272d427f2ed7767ce9dcf783c7">00045</a> <a class="code" href="structpolyhedron.html">Polyhedron</a> *<a class="code" href="polyparam_8c.html#6b9861272d427f2ed7767ce9dcf783c7">PDomainIntersection</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *Pol1,<a class="code" href="structpolyhedron.html">Polyhedron</a> *Pol2,<span class="keywordtype">unsigned</span> NbMaxRays) {
<a name="l00046"></a>00046
<a name="l00047"></a>00047 <a class="code" href="structpolyhedron.html">Polyhedron</a> *p1, *p2, *p3, *d;
<a name="l00048"></a>00048
<a name="l00049"></a>00049 <span class="keywordflow">if</span> (!Pol1 || !Pol2) <span class="keywordflow">return</span> (<a class="code" href="structpolyhedron.html">Polyhedron</a>*) 0;
<a name="l00050"></a>00050 <span class="keywordflow">if</span>((Pol1-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a> != Pol2-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>) || (Pol1-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a> != Pol2-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>)) {
<a name="l00051"></a>00051 fprintf(stderr,
<a name="l00052"></a>00052 <span class="stringliteral">"? PDomainIntersection: operation on different dimensions\n"</span>);
<a name="l00053"></a>00053 <span class="keywordflow">return</span> (<a class="code" href="structpolyhedron.html">Polyhedron</a>*) 0;
<a name="l00054"></a>00054 }
<a name="l00055"></a>00055
<a name="l00056"></a>00056 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(Pol1);
<a name="l00057"></a>00057 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(Pol1);
<a name="l00058"></a>00058 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(Pol2);
<a name="l00059"></a>00059 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(Pol2);
<a name="l00060"></a>00060
<a name="l00061"></a>00061 d = (<a class="code" href="structpolyhedron.html">Polyhedron</a> *)0;
<a name="l00062"></a>00062 <span class="keywordflow">for</span> (p1=Pol1; p1; p1=p1-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a>) {
<a name="l00063"></a>00063 <span class="keywordflow">for</span> (p2=Pol2; p2; p2=p2-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a>) {
<a name="l00064"></a>00064 p3 = <a class="code" href="polyhedron_8c.html#9690baafb863abbd2e8d5c4da2995416">AddConstraints</a>(p2-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[0],
<a name="l00065"></a>00065 p2-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>,p1,NbMaxRays);
<a name="l00066"></a>00066 <span class="keywordflow">if</span> (!p3) <span class="keywordflow">continue</span>;
<a name="l00067"></a>00067
<a name="l00068"></a>00068 <span class="comment">/* If the new polyhedron 'p3' has lower dimension, discard it */</span>
<a name="l00069"></a>00069 <span class="keywordflow">if</span> (p3-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>!=Pol1-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>)
<a name="l00070"></a>00070 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(p3) ;
<a name="l00071"></a>00071
<a name="l00072"></a>00072 <span class="comment">/* Otherwise add it to the new polyhderal domain 'd'. */</span>
<a name="l00073"></a>00073 <span class="keywordflow">else</span>
<a name="l00074"></a>00074 d = <a class="code" href="polyhedron_8c.html#965fd466bed4b1dd143c426e51ac16c5">AddPolyToDomain</a>(p3,d);
<a name="l00075"></a>00075 }
<a name="l00076"></a>00076 }
<a name="l00077"></a>00077 <span class="keywordflow">return</span> d;
<a name="l00078"></a>00078 } <span class="comment">/* PDomainIntersection */</span>
<a name="l00079"></a>00079
<a name="l00080"></a>00080 <span class="comment">/* </span>
<a name="l00081"></a>00081 <span class="comment"> * Given polyhderal domains 'Pol1' and 'Pol2', return the difference of the </span>
<a name="l00082"></a>00082 <span class="comment"> * two domains with a modification that the resulting polyhedra in the new </span>
<a name="l00083"></a>00083 <span class="comment"> * domain don't have a 1 unit space around cut and the degenerate results</span>
<a name="l00084"></a>00084 <span class="comment"> * (of smaller dimension) are discarded. </span>
<a name="l00085"></a>00085 <span class="comment"> */</span>
<a name="l00086"></a><a class="code" href="polyparam_8h.html#c234c76f3561c8799ddf6ff8de425e1f">00086</a> <a class="code" href="structpolyhedron.html">Polyhedron</a> *<a class="code" href="polyparam_8c.html#c234c76f3561c8799ddf6ff8de425e1f">PDomainDifference</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *Pol1,<a class="code" href="structpolyhedron.html">Polyhedron</a> *Pol2,<span class="keywordtype">unsigned</span> NbMaxRays) {
<a name="l00087"></a>00087
<a name="l00088"></a>00088 <a class="code" href="structpolyhedron.html">Polyhedron</a> *p1, *p2, *p3, *d;
<a name="l00089"></a>00089 <span class="keywordtype">int</span> i;
<a name="l00090"></a>00090
<a name="l00091"></a>00091 <span class="keywordflow">if</span> (!Pol1 || !Pol2)
<a name="l00092"></a>00092 <span class="keywordflow">return</span> (<a class="code" href="structpolyhedron.html">Polyhedron</a>*) 0;
<a name="l00093"></a>00093 <span class="keywordflow">if</span>((Pol1-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a> != Pol2-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>) || (Pol1-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a> != Pol2-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>)) {
<a name="l00094"></a>00094 fprintf(stderr,
<a name="l00095"></a>00095 <span class="stringliteral">"? PDomainDifference: operation on different dimensions\n"</span>);
<a name="l00096"></a>00096 <span class="keywordflow">return</span> (<a class="code" href="structpolyhedron.html">Polyhedron</a>*) 0;
<a name="l00097"></a>00097 }
<a name="l00098"></a>00098
<a name="l00099"></a>00099 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(Pol1);
<a name="l00100"></a>00100 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(Pol1);
<a name="l00101"></a>00101 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(Pol2);
<a name="l00102"></a>00102 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(Pol2);
<a name="l00103"></a>00103
<a name="l00104"></a>00104 d = (<a class="code" href="structpolyhedron.html">Polyhedron</a> *)0;
<a name="l00105"></a>00105 <span class="keywordflow">for</span> (p2=Pol2; p2; p2=p2-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a>) {
<a name="l00106"></a>00106 <span class="keywordflow">for</span> (p1=Pol1; p1; p1=p1-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a>) {
<a name="l00107"></a>00107 <span class="keywordflow">for</span> (i=0; i<p2-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>; i++) {
<a name="l00108"></a>00108
<a name="l00109"></a>00109 <span class="comment">/* Add the constraint (-p2->Constraint[i]) >= 0 in 'p1' */</span>
<a name="l00110"></a>00110 p3 = <a class="code" href="polyhedron_8c.html#1a9b9a572ee65d1c15aea3f9885dde7a">SubConstraint</a>(p2-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[i],p1,NbMaxRays,2);
<a name="l00111"></a>00111 <span class="keywordflow">if</span> (!p3) <span class="keywordflow">continue</span>;
<a name="l00112"></a>00112
<a name="l00113"></a>00113 <span class="comment">/* If the new polyhedron 'p3' is empty or is a polyhedron of lower */</span>
<a name="l00114"></a>00114 <span class="comment">/* dimension, discard it. */</span>
<a name="l00115"></a>00115 <span class="keywordflow">if</span> (<a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(p3) || p3-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>!=Pol1-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>)
<a name="l00116"></a>00116 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(p3);
<a name="l00117"></a>00117
<a name="l00118"></a>00118 <span class="comment">/* Otherwise add 'p3' to the new polyhderal domain 'd' */</span>
<a name="l00119"></a>00119 <span class="keywordflow">else</span>
<a name="l00120"></a>00120 d = <a class="code" href="polyhedron_8c.html#965fd466bed4b1dd143c426e51ac16c5">AddPolyToDomain</a>(p3,d);
<a name="l00121"></a>00121 }
<a name="l00122"></a>00122 }
<a name="l00123"></a>00123 <span class="keywordflow">if</span> (p2 != Pol2)
<a name="l00124"></a>00124 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(Pol1);
<a name="l00125"></a>00125 Pol1 = d;
<a name="l00126"></a>00126 d = (<a class="code" href="structpolyhedron.html">Polyhedron</a> *)0;
<a name="l00127"></a>00127 }
<a name="l00128"></a>00128 <span class="keywordflow">return</span> Pol1;
<a name="l00129"></a>00129 } <span class="comment">/* PDomainDifference */</span>
<a name="l00130"></a>00130
<a name="l00131"></a>00131 <span class="comment">/* </span>
<a name="l00132"></a>00132 <span class="comment"> * Return 1 if matrix 'Mat' is full column ranked, otherwise return 0. </span>
<a name="l00133"></a>00133 <span class="comment"> */</span>
<a name="l00134"></a><a class="code" href="polyparam_8c.html#7fc6e29fa82ab421aaedeb032328737b">00134</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#7fc6e29fa82ab421aaedeb032328737b">TestRank</a>(<a class="code" href="structmatrix.html">Matrix</a> *Mat) {
<a name="l00135"></a>00135
<a name="l00136"></a>00136 <span class="keywordtype">int</span> i,j,k;
<a name="l00137"></a>00137 Value m1,m2,m3,gcd,tmp;
<a name="l00138"></a>00138
<a name="l00139"></a>00139 <span class="comment">/* Initialize all the 'Value' variables */</span>
<a name="l00140"></a>00140 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m2);
<a name="l00141"></a>00141 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m3); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp);
<a name="l00142"></a>00142
<a name="l00143"></a>00143 <span class="keywordflow">for</span>(k=0;k<Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;++k) {
<a name="l00144"></a>00144
<a name="l00145"></a>00145 <span class="comment">/* If the digonal entry (k,k) is zero, search down the column(k) */</span>
<a name="l00146"></a>00146 <span class="comment">/* starting from row(k) to find a non-zero entry */</span>
<a name="l00147"></a>00147 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][k])) {
<a name="l00148"></a>00148 <span class="keywordflow">for</span>(j=k+1;j<Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++j) {
<a name="l00149"></a>00149
<a name="l00150"></a>00150 <span class="comment">/* If a non-zero entry (j,k) is found */</span>
<a name="l00151"></a>00151 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][k])) {
<a name="l00152"></a>00152
<a name="l00153"></a>00153 <span class="comment">/* Exchange row(k) and row(j) */</span>
<a name="l00154"></a>00154 <span class="keywordflow">for</span>(i=k;i<Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;++i) {
<a name="l00155"></a>00155 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(tmp,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i]);
<a name="l00156"></a>00156 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i],Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][i]);
<a name="l00157"></a>00157 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][i],tmp);
<a name="l00158"></a>00158 }
<a name="l00159"></a>00159 <span class="keywordflow">break</span>;
<a name="l00160"></a>00160 }
<a name="l00161"></a>00161 }
<a name="l00162"></a>00162
<a name="l00163"></a>00163 <span class="comment">/* If no non-zero entry is found then the matrix 'Mat' is not full */</span>
<a name="l00164"></a>00164 <span class="comment">/* ranked. Return zero. */</span>
<a name="l00165"></a>00165 <span class="keywordflow">if</span>(j>=Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>) {
<a name="l00166"></a>00166
<a name="l00167"></a>00167 <span class="comment">/* Clear all the 'Value' variables */</span>
<a name="l00168"></a>00168 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00169"></a>00169 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m3); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00170"></a>00170 <span class="keywordflow">return</span> 0;
<a name="l00171"></a>00171 }
<a name="l00172"></a>00172 }
<a name="l00173"></a>00173
<a name="l00174"></a>00174 <span class="comment">/* Now Mat[k][k] is the pivot element */</span>
<a name="l00175"></a>00175 <span class="keywordflow">for</span>(j=k+1;j<Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++j) {
<a name="l00176"></a>00176
<a name="l00177"></a>00177 <span class="comment">/* Make every other entry (below row(k)) in column(k) zero */</span>
<a name="l00178"></a>00178 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][k], Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][k]);
<a name="l00179"></a>00179 <span class="keywordflow">for</span>(i=k+1;i<Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;++i) {
<a name="l00180"></a>00180
<a name="l00181"></a>00181 <span class="comment">/* pour tous les indices i > k */</span>
<a name="l00182"></a>00182 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m1,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i],Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][k]);
<a name="l00183"></a>00183 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m2,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][k],Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][i]);
<a name="l00184"></a>00184 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(m3,m1,m2);
<a name="l00185"></a>00185 <a class="code" href="source_2arith_2arithmetique_8h.html#c633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i],m3,gcd);
<a name="l00186"></a>00186 }
<a name="l00187"></a>00187 }
<a name="l00188"></a>00188 }
<a name="l00189"></a>00189
<a name="l00190"></a>00190 <span class="comment">/* Clear all the 'Value' variables */</span>
<a name="l00191"></a>00191 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00192"></a>00192 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m3); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00193"></a>00193
<a name="l00194"></a>00194 <span class="comment">/* The matrix 'Mat' is full ranked, return 1 */</span>
<a name="l00195"></a>00195 <span class="keywordflow">return</span> 1;
<a name="l00196"></a>00196 } <span class="comment">/* TestRank */</span>
<a name="l00197"></a>00197
<a name="l00198"></a>00198 <span class="comment">/*</span>
<a name="l00199"></a>00199 <span class="comment"> * The Saturation matrix is defined to be an integer (int type) matrix. It is</span>
<a name="l00200"></a>00200 <span class="comment"> * a boolean matrix which has a row for every constraint and a column for </span>
<a name="l00201"></a>00201 <span class="comment"> * every line or ray. The bits in the binary format of each integer in the </span>
<a name="l00202"></a>00202 <span class="comment"> * saturation matrix stores the information whether the corresponding constr-</span>
<a name="l00203"></a>00203 <span class="comment"> * aint is saturated by ray(line) or not. </span>
<a name="l00204"></a>00204 <span class="comment"> */</span>
<a name="l00205"></a>00205 <span class="keyword">typedef</span> <span class="keyword">struct </span>{
<a name="l00206"></a>00206 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NbRows;
<a name="l00207"></a>00207 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NbColumns;
<a name="l00208"></a><a class="code" href="structSatMatrix.html#a86302fc014dad53a8f176f4d0cee80c">00208</a> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> **<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00209"></a><a class="code" href="structSatMatrix.html#99b2766234263935af2f8a5f8cab118c">00209</a> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *p_init;
<a name="l00210"></a>00210 } <a class="code" href="structSatMatrix.html">SatMatrix</a>;
<a name="l00211"></a>00211
<a name="l00212"></a><a class="code" href="polyparam_8c.html#010deaa3d3f81aaa979f67bb0012d109">00212</a> <span class="keyword">static</span> <a class="code" href="structSatMatrix.html">SatMatrix</a> *<a class="code" href="polyhedron_8c.html#010deaa3d3f81aaa979f67bb0012d109">SMAlloc</a>(<span class="keywordtype">int</span> rows,<span class="keywordtype">int</span> cols) {
<a name="l00213"></a>00213
<a name="l00214"></a>00214 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> **q, *<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00215"></a>00215 <span class="keywordtype">int</span> i;
<a name="l00216"></a>00216
<a name="l00217"></a>00217 <a class="code" href="structSatMatrix.html">SatMatrix</a> *result = (<a class="code" href="structSatMatrix.html">SatMatrix</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="structSatMatrix.html">SatMatrix</a>));
<a name="l00218"></a>00218 <a class="code" href="assert_8h.html#07d17d6d5d1074c0969bc5d3c3d1d84a">assert</a> (result != NULL);
<a name="l00219"></a>00219
<a name="l00220"></a>00220 result-><a class="code" href="structSatMatrix.html#08d0db0d2eda3b8bdcc316eabadaca09">NbRows</a> = rows;
<a name="l00221"></a>00221 result-><a class="code" href="structSatMatrix.html#20a0299b3d86f4c26a22faed4aaea6fd">NbColumns</a> = cols;
<a name="l00222"></a>00222 result-><a class="code" href="structSatMatrix.html#1035c79878e19d97de2ba62fc38456aa">p</a> = q = (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> **)malloc(rows * <span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *));
<a name="l00223"></a>00223 <a class="code" href="assert_8h.html#07d17d6d5d1074c0969bc5d3c3d1d84a">assert</a> (result-><a class="code" href="structSatMatrix.html#1035c79878e19d97de2ba62fc38456aa">p</a> != NULL);
<a name="l00224"></a>00224 result-><a class="code" href="structSatMatrix.html#de050f206fbbc64a84bcaaec6f8c260e">p_init</a> = p = (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *)malloc(rows * cols * <span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>));
<a name="l00225"></a>00225 <a class="code" href="assert_8h.html#07d17d6d5d1074c0969bc5d3c3d1d84a">assert</a> (result-><a class="code" href="structSatMatrix.html#de050f206fbbc64a84bcaaec6f8c260e">p_init</a> != NULL);
<a name="l00226"></a>00226
<a name="l00227"></a>00227 <span class="keywordflow">for</span> (i=0;i<rows;i++) {
<a name="l00228"></a>00228 *q++ = p;
<a name="l00229"></a>00229 p += cols;
<a name="l00230"></a>00230 }
<a name="l00231"></a>00231
<a name="l00232"></a>00232 <span class="keywordflow">return</span> result;
<a name="l00233"></a>00233 } <span class="comment">/* SMAlloc */</span>
<a name="l00234"></a>00234
<a name="l00235"></a><a class="code" href="polyparam_8c.html#e7ab7efd2892ac6c61e2acc8f1142f1c">00235</a> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="polyhedron_8c.html#e7ab7efd2892ac6c61e2acc8f1142f1c">SMPrint</a> (<a class="code" href="structSatMatrix.html">SatMatrix</a> *<a class="code" href="structmatrix.html">matrix</a>) {
<a name="l00236"></a>00236
<a name="l00237"></a>00237 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00238"></a>00238 <span class="keywordtype">int</span> i, j;
<a name="l00239"></a>00239 <span class="keywordtype">unsigned</span> NbRows, NbColumns;
<a name="l00240"></a>00240
<a name="l00241"></a>00241 fprintf(stderr,<span class="stringliteral">"%d %d\n"</span>,NbRows=matrix-><a class="code" href="structSatMatrix.html#08d0db0d2eda3b8bdcc316eabadaca09">NbRows</a>, NbColumns=matrix-><a class="code" href="structSatMatrix.html#20a0299b3d86f4c26a22faed4aaea6fd">NbColumns</a>);
<a name="l00242"></a>00242 <span class="keywordflow">for</span> (i=0;i<NbRows;i++) {
<a name="l00243"></a>00243 p = *(matrix-><a class="code" href="structSatMatrix.html#1035c79878e19d97de2ba62fc38456aa">p</a>+i);
<a name="l00244"></a>00244 <span class="keywordflow">for</span> (j=0;j<NbColumns;j++)
<a name="l00245"></a>00245 fprintf(stderr, <span class="stringliteral">" %10X "</span>, *p++);
<a name="l00246"></a>00246 fprintf(stderr, <span class="stringliteral">"\n"</span>);
<a name="l00247"></a>00247 }
<a name="l00248"></a>00248 } <span class="comment">/* SMPrint */</span>
<a name="l00249"></a>00249
<a name="l00250"></a>00250
<a name="l00251"></a><a class="code" href="polyparam_8c.html#e775e630ac521bfe434fdf25d937d975">00251</a> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="polyhedron_8c.html#367ed1d639627aa759b98db73cdfc4ef">SMFree</a> (<a class="code" href="structSatMatrix.html">SatMatrix</a> *<a class="code" href="structmatrix.html">matrix</a>) {
<a name="l00252"></a>00252
<a name="l00253"></a>00253 free ((<span class="keywordtype">char</span> *) matrix-><a class="code" href="structSatMatrix.html#de050f206fbbc64a84bcaaec6f8c260e">p_init</a>);
<a name="l00254"></a>00254 free ((<span class="keywordtype">char</span> *) matrix-><a class="code" href="structSatMatrix.html#1035c79878e19d97de2ba62fc38456aa">p</a>);
<a name="l00255"></a>00255 free ((<span class="keywordtype">char</span> *) matrix);
<a name="l00256"></a>00256 <span class="keywordflow">return</span>;
<a name="l00257"></a>00257 } <span class="comment">/* SMFree */</span>
<a name="l00258"></a>00258
<a name="l00259"></a>00259 <span class="comment">/* -------------------------------------------------------------------------</span>
<a name="l00260"></a>00260 <span class="comment"> * Shared Global Variables:</span>
<a name="l00261"></a>00261 <span class="comment"> * Used by procedures: Find_m_face, scan_m_face, Poly2Sat, traite_m_face,</span>
<a name="l00262"></a>00262 <span class="comment"> * count_sat </span>
<a name="l00263"></a>00263 <span class="comment"> * -------------------------------------------------------------------------</span>
<a name="l00264"></a>00264 <span class="comment"> */</span>
<a name="l00265"></a><a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">00265</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>; <span class="comment">/* number of parameters */</span>
<a name="l00266"></a><a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">00266</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a>; <span class="comment">/* dimension of m-face */</span>
<a name="l00267"></a><a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">00267</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>; <span class="comment">/* dimension (not including parameters) */</span>
<a name="l00268"></a><a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">00268</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>; <span class="comment">/* Working Space size */</span>
<a name="l00269"></a><a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">00269</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>; <span class="comment">/* (NbRays-1)/32 + 1 */</span>
<a name="l00270"></a>00270
<a name="l00271"></a><a class="code" href="polyparam_8c.html#ffef9630eb1606e7b4705882682ae7a5">00271</a> <span class="keyword">static</span> <a class="code" href="structpolyhedron.html">Polyhedron</a> *<a class="code" href="polyparam_8c.html#ffef9630eb1606e7b4705882682ae7a5">CEqualities</a>;<span class="comment">/* Equalities in the context */</span>
<a name="l00272"></a><a class="code" href="polyparam_8c.html#41ad9a1ceff17c92987e3d80dfbaccf4">00272</a> <span class="keyword">static</span> <a class="code" href="structSatMatrix.html">SatMatrix</a> *<a class="code" href="polyparam_8c.html#41ad9a1ceff17c92987e3d80dfbaccf4">Sat</a>; <span class="comment">/* Saturation Matrix (row=constraint, col=ray)*/</span>
<a name="l00273"></a><a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">00273</a> <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *<a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>; <span class="comment">/* Bool vector marking constraints in m-face */</span>
<a name="l00274"></a><a class="code" href="polyparam_8c.html#40f314ebd702a14b3c97254e4c11de55">00274</a> <span class="keyword">static</span> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="polyparam_8c.html#40f314ebd702a14b3c97254e4c11de55">Xi</a>, *<a class="code" href="polyparam_8c.html#27503fb09c401518184a9f59d55bbf61">Pi</a>; <span class="comment">/* Xi and Pi */</span>
<a name="l00275"></a><a class="code" href="polyparam_8c.html#24a230e9c65ee973cc69f0b9896ff00c">00275</a> <span class="keyword">static</span> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="polyparam_8c.html#24a230e9c65ee973cc69f0b9896ff00c">PiTest</a>; <span class="comment">/* Matrix used to test if Pi is full ranked? */</span>
<a name="l00276"></a><a class="code" href="polyparam_8c.html#7c31d5fd5bff6dd08a1a053244c9e723">00276</a> <span class="keyword">static</span> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="polyparam_8c.html#7c31d5fd5bff6dd08a1a053244c9e723">CTest</a>;
<a name="l00277"></a><a class="code" href="polyparam_8c.html#d1185a2aa83d581ec9c88f4eac4240d2">00277</a> <span class="keyword">static</span> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="polyparam_8c.html#d1185a2aa83d581ec9c88f4eac4240d2">PiInv</a>; <span class="comment">/* Matrix inverse Pi, with the last col of */</span>
<a name="l00278"></a>00278 <span class="comment">/* each line = denominator of the line */</span>
<a name="l00279"></a><a class="code" href="polyparam_8c.html#f15f95ab1c82a4e1565f975b3b934c7b">00279</a> <span class="keyword">static</span> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="polyparam_8c.html#f15f95ab1c82a4e1565f975b3b934c7b">RaysDi</a>; <span class="comment">/* Constraint matrix for computing Di */</span>
<a name="l00280"></a>00280
<a name="l00281"></a><a class="code" href="polyparam_8c.html#feb763676895f49e165f3b279c9aa946">00281</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#feb763676895f49e165f3b279c9aa946">KD</a>; <span class="comment">/* Flag : keep the full domains in memory ? */</span>
<a name="l00282"></a>00282 <span class="comment">/* 1 = yes; 0 = no, keep constraints only */</span>
<a name="l00283"></a>00283
<a name="l00284"></a><a class="code" href="polyparam_8c.html#135433bf69beff8673f093340cbe29be">00284</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#135433bf69beff8673f093340cbe29be">nbPV</a>; <span class="comment">/* The number of parameterized vertices */</span>
<a name="l00285"></a><a class="code" href="polyparam_8c.html#4f1b4b8771be178935fe09394720cfdf">00285</a> <span class="keyword">static</span> <a class="code" href="struct__Param__Vertex.html">Param_Vertices</a> *<a class="code" href="polyparam_8c.html#4f1b4b8771be178935fe09394720cfdf">PV_Result</a>; <span class="comment">/* List of parameterized vertices */</span>
<a name="l00286"></a><a class="code" href="polyparam_8c.html#1e624849e799ef830292537dd9d6da4b">00286</a> <span class="keyword">static</span> <a class="code" href="struct__Param__Domain.html">Param_Domain</a> *<a class="code" href="polyparam_8c.html#1e624849e799ef830292537dd9d6da4b">PDomains</a>; <span class="comment">/* List of domains. */</span>
<a name="l00287"></a>00287
<a name="l00288"></a>00288 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l00289"></a>00289 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> nbfaces;
<a name="l00290"></a>00290 <span class="preprocessor">#endif</span>
<a name="l00291"></a>00291 <span class="preprocessor"></span>
<a name="l00292"></a>00292 <span class="comment">/*</span>
<a name="l00293"></a>00293 <span class="comment"> * Add the constraints from the context polyhedron 'CEqualities' to the </span>
<a name="l00294"></a>00294 <span class="comment"> * constraints of polyhedra in the polyhedral domain 'D' and return the new</span>
<a name="l00295"></a>00295 <span class="comment"> * polyhedral domain. Polyhedral domain 'D' is subsequently deleted from memory</span>
<a name="l00296"></a>00296 <span class="comment"> */</span>
<a name="l00297"></a><a class="code" href="polyparam_8c.html#268d6a0bae15f9232bcd138212aa1ea5">00297</a> <span class="keyword">static</span> <a class="code" href="structpolyhedron.html">Polyhedron</a> *<a class="code" href="polyparam_8c.html#268d6a0bae15f9232bcd138212aa1ea5">Add_CEqualities</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *D) {
<a name="l00298"></a>00298
<a name="l00299"></a>00299 <a class="code" href="structpolyhedron.html">Polyhedron</a> *d,*r,*tmp;
<a name="l00300"></a>00300
<a name="l00301"></a>00301 <span class="keywordflow">if</span>(!CEqualities)
<a name="l00302"></a>00302 <span class="keywordflow">return</span> D;
<a name="l00303"></a>00303 <span class="keywordflow">else</span> {
<a name="l00304"></a>00304 <span class="keywordflow">if</span>(!D || <a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(D)) {
<a name="l00305"></a>00305 <span class="keywordflow">if</span>(D)
<a name="l00306"></a>00306 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(D);
<a name="l00307"></a>00307 <span class="keywordflow">return</span>(<a class="code" href="polyhedron_8c.html#b0f89a51f01cea6b93b8fb3ab43feca3">Polyhedron_Copy</a>(CEqualities));
<a name="l00308"></a>00308 }
<a name="l00309"></a>00309 r = <a class="code" href="polyhedron_8c.html#9690baafb863abbd2e8d5c4da2995416">AddConstraints</a>(D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[0],D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>,
<a name="l00310"></a>00310 CEqualities,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l00311"></a>00311 tmp = r;
<a name="l00312"></a>00312 <span class="keywordflow">for</span>(d=D-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a>;d;d=d-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a>) {
<a name="l00313"></a>00313 tmp-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a> = <a class="code" href="polyhedron_8c.html#9690baafb863abbd2e8d5c4da2995416">AddConstraints</a>(d-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[0],d-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>,
<a name="l00314"></a>00314 CEqualities,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l00315"></a>00315 tmp = tmp-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a>;
<a name="l00316"></a>00316 }
<a name="l00317"></a>00317 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(D);
<a name="l00318"></a>00318 <span class="keywordflow">return</span>(r);
<a name="l00319"></a>00319 }
<a name="l00320"></a>00320 } <span class="comment">/* Add_CEqualities */</span>
<a name="l00321"></a>00321
<a name="l00322"></a><a class="code" href="polyparam_8c.html#a5622509f213f84fa22674f8f6aed801">00322</a> <span class="preprocessor">#define INT_BITS (sizeof(unsigned) * 8)</span>
<a name="l00323"></a>00323 <span class="preprocessor"></span>
<a name="l00324"></a><a class="code" href="polyparam_8c.html#bf2e0f0225324d7f7b15e7b94efb8041">00324</a> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *<a class="code" href="polyparam_8c.html#bf2e0f0225324d7f7b15e7b94efb8041">int_array2bit_vector</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *array, <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>)
<a name="l00325"></a>00325 {
<a name="l00326"></a>00326 <span class="keywordtype">int</span> i, ix;
<a name="l00327"></a>00327 <span class="keywordtype">unsigned</span> bx;
<a name="l00328"></a>00328 <span class="keywordtype">int</span> words = (n+<a class="code" href="polyparam_8c.html#a5622509f213f84fa22674f8f6aed801">INT_BITS</a>-1)/<a class="code" href="polyparam_8c.html#a5622509f213f84fa22674f8f6aed801">INT_BITS</a>;
<a name="l00329"></a>00329 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *bv = (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *)calloc(words, <span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span>));
<a name="l00330"></a>00330 <a class="code" href="assert_8h.html#07d17d6d5d1074c0969bc5d3c3d1d84a">assert</a>(bv);
<a name="l00331"></a>00331 <span class="keywordflow">for</span> (i = 0, ix = 0, bx = <a class="code" href="types_8h.html#11f27b3b63dfc15c4b4fbb665a3ce3fe">MSB</a>; i < n; ++i) {
<a name="l00332"></a>00332 <span class="keywordflow">if</span> (array[i])
<a name="l00333"></a>00333 bv[ix] |= bx;
<a name="l00334"></a>00334 <a class="code" href="types_8h.html#3dd66db5db700555d4e24314974a2ea1">NEXT</a>(ix, bx);
<a name="l00335"></a>00335 }
<a name="l00336"></a>00336 <span class="keywordflow">return</span> bv;
<a name="l00337"></a>00337 }
<a name="l00338"></a>00338
<a name="l00339"></a>00339 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00340"></a>00340 <span class="comment">/* traite_m_face */</span>
<a name="l00341"></a>00341 <span class="comment">/* Given an m-face, compute the parameterized vertex */</span>
<a name="l00342"></a>00342 <span class="comment">/* D - The entire domain */</span>
<a name="l00343"></a>00343 <span class="comment">/* mf - Bit vector marking the lines/rays in the m-face */</span>
<a name="l00344"></a>00344 <span class="comment">/* egalite - boolean vector marking saturated constraints in m-face */</span>
<a name="l00345"></a>00345 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00346"></a><a class="code" href="polyparam_8c.html#271323dd73589f835a5b4deac911a0af">00346</a> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#271323dd73589f835a5b4deac911a0af">traite_m_face</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *D, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *mf,
<a name="l00347"></a>00347 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *<a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>)
<a name="l00348"></a>00348 {
<a name="l00349"></a>00349 <a class="code" href="structmatrix.html">Matrix</a> *Si; <span class="comment">/* Solution */</span>
<a name="l00350"></a>00350 <a class="code" href="structpolyhedron.html">Polyhedron</a> *PDi; <span class="comment">/* polyhedron Di */</span>
<a name="l00351"></a>00351 <a class="code" href="struct__Param__Vertex.html">Param_Vertices</a> *PV;
<a name="l00352"></a>00352 <span class="keywordtype">int</span> j,k,c,r;
<a name="l00353"></a>00353 <span class="keywordtype">unsigned</span> kx, bx;
<a name="l00354"></a>00354
<a name="l00355"></a>00355 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l00356"></a>00356 <span class="preprocessor"></span> ++nbfaces;
<a name="l00357"></a>00357 <span class="preprocessor">#endif</span>
<a name="l00358"></a>00358 <span class="preprocessor"></span>
<a name="l00359"></a>00359 <span class="comment">/* Extract Xi, Pi, and RaysDi from D */</span>
<a name="l00360"></a>00360 RaysDi-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a> = 0;
<a name="l00361"></a>00361 <span class="keywordflow">for</span>(k=0,c=0,kx=0,bx=<a class="code" href="types_8h.html#11f27b3b63dfc15c4b4fbb665a3ce3fe">MSB</a>;k<D-><a class="code" href="structpolyhedron.html#74cba037f5ac1c7182bf960d79d3f124">NbRays</a>;++k) {
<a name="l00362"></a>00362 <span class="keywordflow">if</span>(mf[kx]&bx) { <span class="comment">/* this ray is in the current m-face */</span>
<a name="l00363"></a>00363 <span class="keywordflow">if</span>(c<<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1) {
<a name="l00364"></a>00364 <span class="keywordtype">int</span> i;
<a name="l00365"></a>00365
<a name="l00366"></a>00366 <span class="comment">/* tester si cette nouvelle colonne est lin. indep. des autres */</span>
<a name="l00367"></a>00367 <span class="comment">/* i.e. si gauss ne donne pas de '0' sur la colonne Pi */</span>
<a name="l00368"></a>00368 <span class="comment">/* jusqu'a l'indice 'c' */</span>
<a name="l00369"></a>00369
<a name="l00370"></a>00370 <span class="comment">/* construit PiTest */</span>
<a name="l00371"></a>00371 <span class="keywordflow">for</span>(j=0;j<<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1;++j) {
<a name="l00372"></a>00372 <span class="keywordflow">for</span>(i=0;i<c;++i)
<a name="l00373"></a>00373
<a name="l00374"></a>00374 <span class="comment">/* les c premieres colonnes */</span>
<a name="l00375"></a>00375 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(PiTest-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i],Pi-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i]);
<a name="l00376"></a>00376
<a name="l00377"></a>00377 <span class="comment">/* la nouvelle */</span>
<a name="l00378"></a>00378 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(PiTest-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],D-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[k][j+1+<a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>]);
<a name="l00379"></a>00379 }
<a name="l00380"></a>00380 PiTest-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a> = c+1;
<a name="l00381"></a>00381 r = <a class="code" href="polyparam_8c.html#7fc6e29fa82ab421aaedeb032328737b">TestRank</a>(PiTest);
<a name="l00382"></a>00382 <span class="keywordflow">if</span>(r <span class="comment">/* TestRank(PiTest) */</span>) {
<a name="l00383"></a>00383
<a name="l00384"></a>00384 <span class="comment">/* Ok, c'est lin. indep. */</span>
<a name="l00385"></a>00385 <span class="keywordflow">for</span> (j=0;j<<a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>;j++)
<a name="l00386"></a>00386 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Xi-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],D-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[k][j+1]); <span class="comment">/* Xi */</span>
<a name="l00387"></a>00387 <span class="keywordflow">for</span> (j=0;j<m;j++)
<a name="l00388"></a>00388 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Pi-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],D-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[k][j+1+n]); <span class="comment">/* Pi */</span>
<a name="l00389"></a>00389 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Xi-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[n][c],D-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[k][n+m+1]); <span class="comment">/* const */</span>
<a name="l00390"></a>00390 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Pi-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[m][c],D-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[k][n+m+1]); <span class="comment">/* const */</span>
<a name="l00391"></a>00391 c++;
<a name="l00392"></a>00392 }
<a name="l00393"></a>00393 }
<a name="l00394"></a>00394
<a name="l00395"></a>00395 <span class="comment">/* Status bit */</span>
<a name="l00396"></a>00396 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(RaysDi-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[RaysDi-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>][0],D-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[k][0]);
<a name="l00397"></a>00397 <a class="code" href="vector_8c.html#b6eca9ad03a2f4a60dd79182289e0e0b">Vector_Copy</a>(&D-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[k][<a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>+1],&RaysDi-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[RaysDi-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>][1],(<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1));
<a name="l00398"></a>00398 ++RaysDi-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l00399"></a>00399 }
<a name="l00400"></a>00400 <a class="code" href="types_8h.html#3dd66db5db700555d4e24314974a2ea1">NEXT</a>(kx,bx);
<a name="l00401"></a>00401 }
<a name="l00402"></a>00402
<a name="l00403"></a>00403 <span class="preprocessor">#ifdef DEBUGPP41</span>
<a name="l00404"></a>00404 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"\nRaysDi=\n"</span>);
<a name="l00405"></a>00405 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,RaysDi);
<a name="l00406"></a>00406 <span class="keywordflow">if</span>(c < <a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1)
<a name="l00407"></a>00407 fprintf(stderr, <span class="stringliteral">"Invalid "</span>);
<a name="l00408"></a>00408 fprintf(stderr, <span class="stringliteral">"Pi=\n"</span>);
<a name="l00409"></a>00409 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,Pi);
<a name="l00410"></a>00410 <span class="preprocessor">#endif</span>
<a name="l00411"></a>00411 <span class="preprocessor"></span>
<a name="l00412"></a>00412 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00413"></a>00413 <span class="preprocessor"></span> <span class="keywordflow">if</span>(c < <a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1)
<a name="l00414"></a>00414 fprintf(stderr,<span class="stringliteral">"Eliminated because of no vertex\n"</span>);
<a name="l00415"></a>00415 <span class="preprocessor">#endif</span>
<a name="l00416"></a>00416 <span class="preprocessor"></span>
<a name="l00417"></a>00417 <span class="keywordflow">if</span>(c < <a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1)
<a name="l00418"></a>00418 <span class="keywordflow">return</span>;
<a name="l00419"></a>00419
<a name="l00420"></a>00420 <span class="comment">/* RaysDi->numColumns = m+2; */</span> <span class="comment">/* stays the same */</span>
<a name="l00421"></a>00421
<a name="l00422"></a>00422 <span class="comment">/* Xi->NbColumns = m+1;*/</span> <span class="comment">/* VIN100: stays the same. was 'c'! */</span>
<a name="l00423"></a>00423 <span class="comment">/* Xi->NbRows = n+1; */</span> <span class="comment">/* stays the same */</span>
<a name="l00424"></a>00424 <span class="comment">/* Pi->NbColumns = m+1;*/</span> <span class="comment">/* VIN100: stays the same. was 'c'! */</span>
<a name="l00425"></a>00425 <span class="comment">/* Pi->NbRows = m+1; */</span> <span class="comment">/* stays the same */</span>
<a name="l00426"></a>00426
<a name="l00427"></a>00427 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00428"></a>00428 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Xi = "</span>);
<a name="l00429"></a>00429 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,Xi);
<a name="l00430"></a>00430 fprintf(stderr,<span class="stringliteral">"Pi = "</span>);
<a name="l00431"></a>00431 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,Pi);
<a name="l00432"></a>00432 <span class="preprocessor">#endif</span>
<a name="l00433"></a>00433 <span class="preprocessor"></span>
<a name="l00434"></a>00434 <span class="comment">/* (Right) invert Pi if POSSIBLE, if not then next m-face */</span>
<a name="l00435"></a>00435 <span class="comment">/* Pi is destroyed */</span>
<a name="l00436"></a>00436 <span class="keywordflow">if</span>(!<a class="code" href="matrix_8c.html#e2b2f031eb75c5011091536d7ef4befc">MatInverse</a>(Pi,PiInv)) {
<a name="l00437"></a>00437
<a name="l00438"></a>00438 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00439"></a>00439 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"Eliminated because of no inverse Pi\n"</span>);
<a name="l00440"></a>00440 <span class="preprocessor">#endif</span>
<a name="l00441"></a>00441 <span class="preprocessor"></span>
<a name="l00442"></a>00442 <span class="keywordflow">return</span>;
<a name="l00443"></a>00443 }
<a name="l00444"></a>00444
<a name="l00445"></a>00445 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00446"></a>00446 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"FACE GENERATED!\n"</span>);
<a name="l00447"></a>00447 fprintf(stderr,<span class="stringliteral">"PiInv = "</span>);
<a name="l00448"></a>00448 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,PiInv);
<a name="l00449"></a>00449 <span class="preprocessor">#endif</span>
<a name="l00450"></a>00450 <span class="preprocessor"></span>
<a name="l00451"></a>00451 <span class="comment">/* Compute Si (now called Ti in the paper) */</span>
<a name="l00452"></a>00452 Si = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(Xi-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>,PiInv-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>);
<a name="l00453"></a>00453 <a class="code" href="matrix_8c.html#db8526f2ba863572c60b255c8b27c186">rat_prodmat</a>(Si,Xi,PiInv);
<a name="l00454"></a>00454
<a name="l00455"></a>00455 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00456"></a>00456 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Si = "</span>);
<a name="l00457"></a>00457 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,Si);
<a name="l00458"></a>00458 <span class="preprocessor">#endif</span>
<a name="l00459"></a>00459 <span class="preprocessor"></span>
<a name="l00460"></a>00460 Si-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>--; <span class="comment">/* throw out the last row = 0 ... 0 1 */</span>
<a name="l00461"></a>00461
<a name="l00462"></a>00462 <span class="comment">/* Copy all of that into the PV structure */</span>
<a name="l00463"></a>00463 PV = (<a class="code" href="struct__Param__Vertex.html">Param_Vertices</a> *) malloc(<span class="keyword">sizeof</span>(<a class="code" href="struct__Param__Vertex.html">Param_Vertices</a>));
<a name="l00464"></a>00464 PV-><a class="code" href="struct__Param__Vertex.html#1115989a70826c590a1c71923cdeee68">next</a> = PV_Result;
<a name="l00465"></a>00465 PV-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a> = Si;
<a name="l00466"></a>00466 PV-><a class="code" href="struct__Param__Vertex.html#09d8d34daf37b7cbcff6761b80761f26">Domain</a> = NULL;
<a name="l00467"></a>00467 PV-><a class="code" href="struct__Param__Vertex.html#f7ff9a4be6a5202a9bcf741a8b233c9e">Facets</a> = <a class="code" href="polyparam_8c.html#bf2e0f0225324d7f7b15e7b94efb8041">int_array2bit_vector</a>(egalite, D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>);
<a name="l00468"></a>00468 PV_Result = PV;
<a name="l00469"></a>00469 <a class="code" href="polyparam_8c.html#135433bf69beff8673f093340cbe29be">nbPV</a>++; <span class="comment">/* increment vertex count */</span>
<a name="l00470"></a>00470
<a name="l00471"></a>00471 <span class="comment">/* Ok... now compute the parameter domain */</span>
<a name="l00472"></a>00472 PDi = <a class="code" href="polyhedron_8c.html#3d5b12b71133d329c88db195b56d9feb" title="Given a matrix of rays &#39;Ray&#39;, create and return a polyhedron.">Rays2Polyhedron</a>(RaysDi,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l00473"></a>00473
<a name="l00474"></a>00474 <span class="preprocessor">#ifdef DEBUGPP3</span>
<a name="l00475"></a>00475 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"RaysDi = "</span>);
<a name="l00476"></a>00476 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,RaysDi);
<a name="l00477"></a>00477 fprintf(stderr,<span class="stringliteral">"PDi = "</span>);
<a name="l00478"></a>00478 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,PDi);
<a name="l00479"></a>00479 <span class="preprocessor">#endif</span>
<a name="l00480"></a>00480 <span class="preprocessor"></span>
<a name="l00481"></a>00481 <span class="keywordflow">if</span>(<a class="code" href="polyparam_8c.html#feb763676895f49e165f3b279c9aa946">KD</a>==0) {
<a name="l00482"></a>00482
<a name="l00483"></a>00483 <span class="comment">/* Add the equalities again to the domain */</span>
<a name="l00484"></a>00484 PDi = <a class="code" href="polyparam_8c.html#268d6a0bae15f9232bcd138212aa1ea5">Add_CEqualities</a>(PDi);
<a name="l00485"></a>00485 PV-><a class="code" href="struct__Param__Vertex.html#09d8d34daf37b7cbcff6761b80761f26">Domain</a> = <a class="code" href="polyhedron_8c.html#69417a994cd682d0c391ecff6d223cd2">Polyhedron2Constraints</a>(PDi);
<a name="l00486"></a>00486 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(PDi);
<a name="l00487"></a>00487 }
<a name="l00488"></a>00488 <span class="keywordflow">else</span> {
<a name="l00489"></a>00489 <a class="code" href="struct__Param__Domain.html">Param_Domain</a> *PD;
<a name="l00490"></a>00490 PD = (<a class="code" href="struct__Param__Domain.html">Param_Domain</a> *) malloc(<span class="keyword">sizeof</span>(<a class="code" href="struct__Param__Domain.html">Param_Domain</a>));
<a name="l00491"></a>00491 PD-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> = PDi;
<a name="l00492"></a>00492 PD-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a> = NULL;
<a name="l00493"></a>00493 PD-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a> = PDomains;
<a name="l00494"></a>00494 PDomains = PD;
<a name="l00495"></a>00495 }
<a name="l00496"></a>00496 <span class="keywordflow">return</span>;
<a name="l00497"></a>00497 } <span class="comment">/* traite_m_face */</span>
<a name="l00498"></a>00498
<a name="l00499"></a>00499 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00500"></a>00500 <span class="comment">/* count_sat */</span>
<a name="l00501"></a>00501 <span class="comment">/* count the number of saturated rays in the bit vector mf */</span>
<a name="l00502"></a>00502 <span class="comment">/* Uses nr from global area */</span>
<a name="l00503"></a>00503 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00504"></a><a class="code" href="polyparam_8c.html#1ee4d84c221c11dee606da4ea6826b06">00504</a> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#1ee4d84c221c11dee606da4ea6826b06">cntbit</a>[256] = { <span class="comment">/* counts for 8 bits */</span>
<a name="l00505"></a>00505 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4,
<a name="l00506"></a>00506 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
<a name="l00507"></a>00507 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
<a name="l00508"></a>00508 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
<a name="l00509"></a>00509
<a name="l00510"></a>00510 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
<a name="l00511"></a>00511 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
<a name="l00512"></a>00512 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
<a name="l00513"></a>00513 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
<a name="l00514"></a>00514
<a name="l00515"></a>00515 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
<a name="l00516"></a>00516 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
<a name="l00517"></a>00517 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
<a name="l00518"></a>00518 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
<a name="l00519"></a>00519
<a name="l00520"></a>00520 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
<a name="l00521"></a>00521 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
<a name="l00522"></a>00522 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
<a name="l00523"></a>00523 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8 };
<a name="l00524"></a>00524
<a name="l00525"></a><a class="code" href="polyparam_8c.html#7a11b9613a22c77bc0a4db25e0f24805">00525</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#7a11b9613a22c77bc0a4db25e0f24805">count_sat</a> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *mf) {
<a name="l00526"></a>00526
<a name="l00527"></a>00527 <span class="keyword">register</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i, tmp, cnt=0;
<a name="l00528"></a>00528
<a name="l00529"></a>00529 <span class="keywordflow">for</span> (i=0; i<<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>; i++) {
<a name="l00530"></a>00530 tmp = mf[i];
<a name="l00531"></a>00531 cnt = cnt
<a name="l00532"></a>00532 + <a class="code" href="polyparam_8c.html#1ee4d84c221c11dee606da4ea6826b06">cntbit</a>[ tmp & 0xff ]
<a name="l00533"></a>00533 + <a class="code" href="polyparam_8c.html#1ee4d84c221c11dee606da4ea6826b06">cntbit</a>[ (tmp>>8) & 0xff ]
<a name="l00534"></a>00534 + <a class="code" href="polyparam_8c.html#1ee4d84c221c11dee606da4ea6826b06">cntbit</a>[ (tmp>>16) & 0xff ]
<a name="l00535"></a>00535 + <a class="code" href="polyparam_8c.html#1ee4d84c221c11dee606da4ea6826b06">cntbit</a>[ (tmp>>24) & 0xff ]
<a name="l00536"></a>00536 ;
<a name="l00537"></a>00537 }
<a name="l00538"></a>00538 <span class="keywordflow">return</span> cnt;
<a name="l00539"></a>00539 } <span class="comment">/* count_sat */</span>
<a name="l00540"></a>00540
<a name="l00541"></a>00541 <span class="comment">/* Returns true if all bits in part are also set in bv */</span>
<a name="l00542"></a><a class="code" href="polyparam_8c.html#db16f454d7b32a99bb7bcbf11a850d0c">00542</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#db16f454d7b32a99bb7bcbf11a850d0c">bit_vector_includes</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *bv, <span class="keywordtype">int</span> len, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *part)
<a name="l00543"></a>00543 {
<a name="l00544"></a>00544 <span class="keywordtype">int</span> j;
<a name="l00545"></a>00545
<a name="l00546"></a>00546 <span class="keywordflow">for</span> (j = 0; j < len; j++) {
<a name="l00547"></a>00547 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00548"></a>00548 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"mf=%08X Sat=%08X &=%08X\n"</span>,
<a name="l00549"></a>00549 part[j],bv[j], (part[j] & bv[j]));
<a name="l00550"></a>00550 <span class="preprocessor">#endif</span>
<a name="l00551"></a>00551 <span class="preprocessor"></span> <span class="keywordflow">if</span> ((part[j] & bv[j]) != part[j])
<a name="l00552"></a>00552 <span class="keywordflow">return</span> 0;
<a name="l00553"></a>00553 }
<a name="l00554"></a>00554 <span class="keywordflow">return</span> 1;
<a name="l00555"></a>00555 }
<a name="l00556"></a>00556
<a name="l00557"></a>00557 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00558"></a>00558 <span class="comment">/* let D + E + L be the dimension of the polyhedron */</span>
<a name="l00559"></a>00559 <span class="comment">/* D = Dimension of polytope (ray space) */</span>
<a name="l00560"></a>00560 <span class="comment">/* L = Dimension of Lineality space (number of lines, bid) */</span>
<a name="l00561"></a>00561 <span class="comment">/* E = Dimension of Affine hull (number of equations) */</span>
<a name="l00562"></a>00562 <span class="comment">/* n = number of data indices */</span>
<a name="l00563"></a>00563 <span class="comment">/* m = number of parameters */</span>
<a name="l00564"></a>00564 <span class="comment">/* full domain: */</span>
<a name="l00565"></a>00565 <span class="comment">/* n + m = D + E + L */</span>
<a name="l00566"></a>00566 <span class="comment">/* projected domains: */</span>
<a name="l00567"></a>00567 <span class="comment">/* m = D_m + E_m + L_m */</span>
<a name="l00568"></a>00568 <span class="comment">/* n = D_n + E_n + L_n */</span>
<a name="l00569"></a>00569 <span class="comment">/* What dimension M-face, when projected onto parameter space, */</span>
<a name="l00570"></a>00570 <span class="comment">/* will give an L_m-face? */</span>
<a name="l00571"></a>00571 <span class="comment">/* What are the conditions? */</span>
<a name="l00572"></a>00572 <span class="comment">/* - at least one vertex */</span>
<a name="l00573"></a>00573 <span class="comment">/* - number of rays >= D_m+1 after removal of redundants */</span>
<a name="l00574"></a>00574 <span class="comment">/* */</span>
<a name="l00575"></a>00575 <span class="comment">/* dim of face nb saturated constraints nb saturated lines,rays */</span>
<a name="l00576"></a>00576 <span class="comment">/* ----------- ------------------------ ----------------------- */</span>
<a name="l00577"></a>00577 <span class="comment">/* (0+L)-face all E eqns + >=D ineq all L lines + 1 ray */</span>
<a name="l00578"></a>00578 <span class="comment">/* (M+L)-face all E eqns + >=(D-M) ineq all L lines + >=(M+1) rays */</span>
<a name="l00579"></a>00579 <span class="comment">/* (D+L)-face all E eqns + 0 ineq all L lines + >=(D+1) rays */</span>
<a name="l00580"></a>00580 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00581"></a>00581 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00582"></a>00582 <span class="comment">/* scan_m_face */</span>
<a name="l00583"></a>00583 <span class="comment">/* pos : the next candidate constraint position */</span>
<a name="l00584"></a>00584 <span class="comment">/* nb_un : number of saturated constraints needed to finish a face */</span>
<a name="l00585"></a>00585 <span class="comment">/* D : the source polyhedron (context included ) */</span>
<a name="l00586"></a>00586 <span class="comment">/* mf : bit-array marking rays which are saturated so far */</span>
<a name="l00587"></a>00587 <span class="comment">/* From Global area: */</span>
<a name="l00588"></a>00588 <span class="comment">/* ---------------- */</span>
<a name="l00589"></a>00589 <span class="comment">/* n : number of data indices */</span>
<a name="l00590"></a>00590 <span class="comment">/* m : number of parameters */</span>
<a name="l00591"></a>00591 <span class="comment">/* egalite : boolean vector marking saturated constraints in m-face */</span>
<a name="l00592"></a>00592 <span class="comment">/* Sat : Saturation Matrix (row=constraints, col=rays) */</span>
<a name="l00593"></a>00593 <span class="comment">/* ws : working space size */</span>
<a name="l00594"></a>00594 <span class="comment">/* nr : (NbRays-1)/32 + 1 */</span>
<a name="l00595"></a>00595 <span class="comment">/* */</span>
<a name="l00596"></a>00596 <span class="comment">/* Recursive function to find the rays and vertices of each m-face */</span>
<a name="l00597"></a>00597 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00598"></a><a class="code" href="polyparam_8c.html#da73886adcb8cc6d3e6f42555ed64689">00598</a> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#da73886adcb8cc6d3e6f42555ed64689">scan_m_face</a>(<span class="keywordtype">int</span> pos,<span class="keywordtype">int</span> nb_un,<a class="code" href="structpolyhedron.html">Polyhedron</a> *D,<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *mf) {
<a name="l00599"></a>00599 <span class="comment">/* pos - the next candidate constraint position */</span>
<a name="l00600"></a>00600 <span class="comment">/* nb_un - the number of constraints needed to finish a face */</span>
<a name="l00601"></a>00601 <span class="comment">/* D - the source polyhedron */</span>
<a name="l00602"></a>00602 <span class="comment">/* mf - (bit vector) marks rays that are saturated so far */</span>
<a name="l00603"></a>00603
<a name="l00604"></a>00604 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *new_mf;
<a name="l00605"></a>00605
<a name="l00606"></a>00606 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00607"></a>00607 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Start scan_m_face(pos=%d, nb_un=%d, n=%d, m=%d\n"</span>,
<a name="l00608"></a>00608 pos,nb_un,<a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>);
<a name="l00609"></a>00609 fprintf(stderr,<span class="stringliteral">"mf = "</span>);
<a name="l00610"></a>00610 {
<a name="l00611"></a>00611 <span class="keywordtype">int</span> i;
<a name="l00612"></a>00612 <span class="keywordflow">for</span>(i=0;i<<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>;i++)
<a name="l00613"></a>00613 fprintf(stderr,<span class="stringliteral">"%08X"</span>, mf[i]);
<a name="l00614"></a>00614 fprintf(stderr,<span class="stringliteral">"\nequality = ["</span>);
<a name="l00615"></a>00615 <span class="keywordflow">for</span>(i=0;i<D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>;i++)
<a name="l00616"></a>00616 fprintf(stderr,<span class="stringliteral">" %1d"</span>,<a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[i]);
<a name="l00617"></a>00617 fprintf(stderr,<span class="stringliteral">"]\n"</span>);
<a name="l00618"></a>00618 }
<a name="l00619"></a>00619 <span class="preprocessor">#endif</span>
<a name="l00620"></a>00620 <span class="preprocessor"></span>
<a name="l00621"></a>00621 <span class="keywordflow">if</span>(nb_un == 0) { <span class="comment">/* Base case */</span>
<a name="l00622"></a>00622 <span class="keywordtype">int</span> i;
<a name="l00623"></a>00623
<a name="l00624"></a>00624 <span class="comment">/*********** ELIMINATION OF REDUNDANT FACES ***********/</span>
<a name="l00625"></a>00625 <span class="comment">/* if all these vertices also verify a previous constraint */</span>
<a name="l00626"></a>00626 <span class="comment">/* which is NOT already selected, we eliminate this face */</span>
<a name="l00627"></a>00627 <span class="comment">/* This keeps the lexicographically greatest selection */</span>
<a name="l00628"></a>00628 <span class="keywordflow">for</span>(i=0;i<pos-1;i++)
<a name="l00629"></a>00629 {
<a name="l00630"></a>00630 <span class="keywordflow">if</span>(<a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[i])
<a name="l00631"></a>00631 <span class="keywordflow">continue</span>; <span class="comment">/* already selected */</span>
<a name="l00632"></a>00632
<a name="l00633"></a>00633 <span class="comment">/* if Sat[i] & mf == mf then it's redundant */</span>
<a name="l00634"></a>00634 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00635"></a>00635 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"Sat[%d]\n"</span>, i);
<a name="l00636"></a>00636 <span class="preprocessor">#endif</span>
<a name="l00637"></a>00637 <span class="preprocessor"></span> <span class="keywordflow">if</span> (<a class="code" href="polyparam_8c.html#db16f454d7b32a99bb7bcbf11a850d0c">bit_vector_includes</a>(Sat-><a class="code" href="structSatMatrix.html#1035c79878e19d97de2ba62fc38456aa">p</a>[i], <a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>, mf)) {
<a name="l00638"></a>00638 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00639"></a>00639 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"Redundant with constraint %d\n"</span>, i);
<a name="l00640"></a>00640 <span class="preprocessor">#endif</span>
<a name="l00641"></a>00641 <span class="preprocessor"></span> <span class="keywordflow">return</span>; <span class="comment">/* it is redundant */</span>
<a name="l00642"></a>00642 }
<a name="l00643"></a>00643 }
<a name="l00644"></a>00644 <span class="comment">/********* END OF ELIMINATION OF DEGENERATE FACES *********/</span>
<a name="l00645"></a>00645 <span class="comment">/* Now check for other constraints that are verified */</span>
<a name="l00646"></a>00646 <span class="keywordflow">for</span> (i = pos; i < D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>; ++i) {
<a name="l00647"></a>00647 <span class="keywordflow">if</span> (<a class="code" href="polyparam_8c.html#db16f454d7b32a99bb7bcbf11a850d0c">bit_vector_includes</a>(Sat-><a class="code" href="structSatMatrix.html#1035c79878e19d97de2ba62fc38456aa">p</a>[i], <a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>, mf))
<a name="l00648"></a>00648 <a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[i] = 1;
<a name="l00649"></a>00649 }
<a name="l00650"></a>00650 <span class="comment">/* if we haven't found a constraint verified by all */</span>
<a name="l00651"></a>00651 <span class="comment">/* the rays, its OK, it's a new face. */</span>
<a name="l00652"></a>00652 <a class="code" href="polyparam_8c.html#271323dd73589f835a5b4deac911a0af">traite_m_face</a>(D, mf, <a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>);
<a name="l00653"></a>00653 <span class="keywordflow">for</span> (i = pos; i < D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>; ++i)
<a name="l00654"></a>00654 <a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[i] = 0;
<a name="l00655"></a>00655 <span class="keywordflow">return</span>;
<a name="l00656"></a>00656 }
<a name="l00657"></a>00657
<a name="l00658"></a>00658 <span class="comment">/* See if there are enough constraints left to finish */</span>
<a name="l00659"></a>00659 <span class="keywordflow">if</span>((pos+nb_un)>D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>) <span class="keywordflow">return</span>;
<a name="l00660"></a>00660
<a name="l00661"></a>00661 <span class="comment">/* Recurring part of the procedure */</span>
<a name="l00662"></a>00662 <span class="comment">/* Add the pos'th constraint, compute new saturation vector */</span>
<a name="l00663"></a>00663 {
<a name="l00664"></a>00664 <span class="keywordtype">int</span> k;
<a name="l00665"></a>00665 new_mf = (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *)malloc(<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>*<span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>));
<a name="l00666"></a>00666 <span class="keywordflow">for</span> (k=0; k<<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>; k++)
<a name="l00667"></a>00667 new_mf[k] = mf[k] & Sat-><a class="code" href="structSatMatrix.html#1035c79878e19d97de2ba62fc38456aa">p</a>[pos][k];
<a name="l00668"></a>00668 }
<a name="l00669"></a>00669 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l00670"></a>00670 <span class="preprocessor"></span>fprintf(stderr,<span class="stringliteral">"new_mf = "</span>);
<a name="l00671"></a>00671 {
<a name="l00672"></a>00672 <span class="keywordtype">int</span> i;
<a name="l00673"></a>00673 <span class="keywordflow">for</span>(i=0;i<<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>;i++) {
<a name="l00674"></a>00674 fprintf(stderr,<span class="stringliteral">"%08X"</span>, new_mf[i]);
<a name="l00675"></a>00675 }
<a name="l00676"></a>00676 fprintf(stderr,<span class="stringliteral">"\ncount(new_mf) = %d\n"</span>,<a class="code" href="polyparam_8c.html#7a11b9613a22c77bc0a4db25e0f24805">count_sat</a>(new_mf));
<a name="l00677"></a>00677 }
<a name="l00678"></a>00678 <span class="preprocessor">#endif</span>
<a name="l00679"></a>00679 <span class="preprocessor"></span>
<a name="l00680"></a>00680 {
<a name="l00681"></a>00681 <span class="keywordtype">int</span> c;
<a name="l00682"></a>00682 c = <a class="code" href="polyparam_8c.html#7a11b9613a22c77bc0a4db25e0f24805">count_sat</a>(new_mf);
<a name="l00683"></a>00683 <span class="comment">/* optimization : at least m_dim+1 rays must be saturated to add this constraint */</span>
<a name="l00684"></a>00684 <span class="keywordflow">if</span> (c><a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a> )
<a name="l00685"></a>00685 {
<a name="l00686"></a>00686 <span class="keywordtype">int</span> redundant = 0;
<a name="l00687"></a>00687
<a name="l00688"></a>00688 <a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[pos]=1; <span class="comment">/* Try it with the pos-th constraint */</span>
<a name="l00689"></a>00689
<a name="l00690"></a>00690 <span class="comment">/* If this constraint does not change anything,</span>
<a name="l00691"></a>00691 <span class="comment"> * it is redundant with respect to the selected</span>
<a name="l00692"></a>00692 <span class="comment"> * equalities and the remaining inequalities.</span>
<a name="l00693"></a>00693 <span class="comment"> * Check whether it is redundant with respect</span>
<a name="l00694"></a>00694 <span class="comment"> * to just the selected equalities.</span>
<a name="l00695"></a>00695 <span class="comment"> */</span>
<a name="l00696"></a>00696 <span class="keywordflow">if</span>( c==<a class="code" href="polyparam_8c.html#7a11b9613a22c77bc0a4db25e0f24805">count_sat</a>(mf) ) {
<a name="l00697"></a>00697 <span class="keywordtype">int</span> i, c, j;
<a name="l00698"></a>00698
<a name="l00699"></a>00699 <span class="keywordflow">for</span> (i = 0, c = 0; i < D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>; ++i) {
<a name="l00700"></a>00700 <span class="keywordflow">if</span> (<a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[i] == 0 || <a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[i] == -1)
<a name="l00701"></a>00701 <span class="keywordflow">continue</span>;
<a name="l00702"></a>00702 <span class="keywordflow">for</span> (j = 0; j < D-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>+1; ++j)
<a name="l00703"></a>00703 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(CTest-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],
<a name="l00704"></a>00704 D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[i][j+1]);
<a name="l00705"></a>00705 ++c;
<a name="l00706"></a>00706 }
<a name="l00707"></a>00707 CTest-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a> = c;
<a name="l00708"></a>00708 <span class="preprocessor">#ifdef DEBUGPP41</span>
<a name="l00709"></a>00709 <span class="preprocessor"></span> <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,CTest);
<a name="l00710"></a>00710 <span class="preprocessor">#endif</span>
<a name="l00711"></a>00711 <span class="preprocessor"></span> redundant = !<a class="code" href="polyparam_8c.html#7fc6e29fa82ab421aaedeb032328737b">TestRank</a>(CTest);
<a name="l00712"></a>00712 }
<a name="l00713"></a>00713
<a name="l00714"></a>00714 <span class="comment">/* Do not decrement nb_un if equality is redundant. */</span>
<a name="l00715"></a>00715 <span class="keywordflow">if</span>( redundant )
<a name="l00716"></a>00716 {
<a name="l00717"></a>00717 <a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[pos]=-1; <span class="comment">/* Don't use in further redundance test</span>
<a name="l00718"></a>00718 <span class="comment"> */</span>
<a name="l00719"></a>00719 <a class="code" href="polyparam_8c.html#da73886adcb8cc6d3e6f42555ed64689">scan_m_face</a>(pos+1,nb_un,D,new_mf);
<a name="l00720"></a>00720 }
<a name="l00721"></a>00721 <span class="keywordflow">else</span>
<a name="l00722"></a>00722 {
<a name="l00723"></a>00723 <a class="code" href="polyparam_8c.html#da73886adcb8cc6d3e6f42555ed64689">scan_m_face</a>(pos+1,nb_un-1,D,new_mf);
<a name="l00724"></a>00724 }
<a name="l00725"></a>00725 }
<a name="l00726"></a>00726 }
<a name="l00727"></a>00727 free(new_mf);
<a name="l00728"></a>00728 <a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[pos]=0; <span class="comment">/* Try it without the pos-th constraint */</span>
<a name="l00729"></a>00729 <span class="keywordflow">if</span> ((pos+nb_un)>=D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>) <span class="keywordflow">return</span>;
<a name="l00730"></a>00730 <a class="code" href="polyparam_8c.html#da73886adcb8cc6d3e6f42555ed64689">scan_m_face</a>(pos+1,nb_un,D,mf);
<a name="l00731"></a>00731 <span class="keywordflow">return</span>;
<a name="l00732"></a>00732 } <span class="comment">/* scan_m_face */</span>
<a name="l00733"></a>00733
<a name="l00734"></a>00734 <span class="comment">/*</span>
<a name="l00735"></a>00735 <span class="comment"> * Create a saturation matrix with rows correspond to the constraints and </span>
<a name="l00736"></a>00736 <span class="comment"> * columns correspond to the rays of the polyhedron 'Pol'. Global variable </span>
<a name="l00737"></a>00737 <span class="comment"> * 'nr' is set in the function. </span>
<a name="l00738"></a>00738 <span class="comment"> */</span>
<a name="l00739"></a><a class="code" href="polyparam_8c.html#be53dff202dab1fd41e7dcc035d12562">00739</a> <span class="keyword">static</span> <a class="code" href="structSatMatrix.html">SatMatrix</a> *<a class="code" href="polyparam_8c.html#be53dff202dab1fd41e7dcc035d12562">Poly2Sat</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *Pol,<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> **L) {
<a name="l00740"></a>00740
<a name="l00741"></a>00741 <a class="code" href="structSatMatrix.html">SatMatrix</a> *Sat;
<a name="l00742"></a>00742 <span class="keywordtype">int</span> i, j, k, kx;
<a name="l00743"></a>00743 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *Temp;
<a name="l00744"></a>00744 Value *p1, *p2, p3,tmp;
<a name="l00745"></a>00745 <span class="keywordtype">unsigned</span> Dimension, NbRay, NbCon, bx;
<a name="l00746"></a>00746
<a name="l00747"></a>00747 <span class="comment">/* Initialize all the 'Value' variables */</span>
<a name="l00748"></a>00748 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(p3); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp);
<a name="l00749"></a>00749
<a name="l00750"></a>00750 NbRay = Pol-><a class="code" href="structpolyhedron.html#74cba037f5ac1c7182bf960d79d3f124">NbRays</a>;
<a name="l00751"></a>00751 NbCon = Pol-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>;
<a name="l00752"></a>00752 Dimension = Pol-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>+1; <span class="comment">/* Homogeneous Dimension */</span>
<a name="l00753"></a>00753
<a name="l00754"></a>00754 <span class="comment">/* Build the Sat matrix */</span>
<a name="l00755"></a>00755 <a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a> = (NbRay - 1)/(<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>)*8) + 1; <span class="comment">/* Set globally */</span>
<a name="l00756"></a>00756 Sat = <a class="code" href="polyhedron_8c.html#010deaa3d3f81aaa979f67bb0012d109">SMAlloc</a>(NbCon,<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>);
<a name="l00757"></a>00757 Temp = (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *)malloc(<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>*<span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>));
<a name="l00758"></a>00758 memset(Sat-><a class="code" href="structSatMatrix.html#de050f206fbbc64a84bcaaec6f8c260e">p_init</a>,0,<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>*NbCon*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));
<a name="l00759"></a>00759 memset(Temp,0,<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>*<span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>));
<a name="l00760"></a>00760 kx=0; bx=<a class="code" href="types_8h.html#11f27b3b63dfc15c4b4fbb665a3ce3fe">MSB</a>;
<a name="l00761"></a>00761 <span class="keywordflow">for</span> (k=0; k<NbRay; k++) {
<a name="l00762"></a>00762 <span class="keywordflow">for</span> (i=0; i<NbCon; i++) {
<a name="l00763"></a>00763 p1 = &Pol-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[i][1];
<a name="l00764"></a>00764 p2 = &Pol-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[k][1];
<a name="l00765"></a>00765 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(p3,0);
<a name="l00766"></a>00766 <span class="keywordflow">for</span> (j=0;j<Dimension;j++) {
<a name="l00767"></a>00767 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(tmp,*p1,*p2);
<a name="l00768"></a>00768 <a class="code" href="source_2arith_2arithmetique_8h.html#ea216a0e750144f0e6eb9b0a82583739">value_addto</a>(p3,p3,tmp);
<a name="l00769"></a>00769 p1++; p2++;
<a name="l00770"></a>00770 }
<a name="l00771"></a>00771 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(p3))
<a name="l00772"></a>00772 Sat-><a class="code" href="structSatMatrix.html#1035c79878e19d97de2ba62fc38456aa">p</a>[i][kx]|=bx;
<a name="l00773"></a>00773 }
<a name="l00774"></a>00774 Temp[kx] |= bx;
<a name="l00775"></a>00775 <a class="code" href="types_8h.html#3dd66db5db700555d4e24314974a2ea1">NEXT</a>(kx, bx);
<a name="l00776"></a>00776 }
<a name="l00777"></a>00777
<a name="l00778"></a>00778 <span class="comment">/* Set 'L' to an array containing ones in every bit position of its */</span>
<a name="l00779"></a>00779 <span class="comment">/* elements. */</span>
<a name="l00780"></a>00780 *L = Temp;
<a name="l00781"></a>00781
<a name="l00782"></a>00782 <span class="comment">/* Clear all the 'Value' variables */</span>
<a name="l00783"></a>00783 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(p3); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00784"></a>00784
<a name="l00785"></a>00785 <span class="keywordflow">return</span> Sat;
<a name="l00786"></a>00786 } <span class="comment">/* Poly2Sat */</span>
<a name="l00787"></a>00787
<a name="l00788"></a>00788 <span class="comment">/*</span>
<a name="l00789"></a>00789 <span class="comment"> * Create a parametrized polyhedron with zero parameters. This function was </span>
<a name="l00790"></a>00790 <span class="comment"> * first written by Xavier Redon, and was later modified by others.</span>
<a name="l00791"></a>00791 <span class="comment"> */</span>
<a name="l00792"></a><a class="code" href="polyparam_8h.html#d694b78f831d141b6126e858d7b8b11a">00792</a> <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *<a class="code" href="polyparam_8c.html#d694b78f831d141b6126e858d7b8b11a">GenParamPolyhedron</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *Pol, <a class="code" href="structmatrix.html">Matrix</a> *Rays)
<a name="l00793"></a>00793 {
<a name="l00794"></a>00794 <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *result;
<a name="l00795"></a>00795 <span class="keywordtype">int</span> nbRows, nbColumns;
<a name="l00796"></a>00796 <span class="keywordtype">int</span> i, <a class="code" href="vector_8c.html#439227feff9d7f55384e8780cfc2eb82">size</a>, rays;
<a name="l00797"></a>00797
<a name="l00798"></a>00798 nbRows=Pol-><a class="code" href="structpolyhedron.html#74cba037f5ac1c7182bf960d79d3f124">NbRays</a>;
<a name="l00799"></a>00799 nbColumns=Pol-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>+2;
<a name="l00800"></a>00800
<a name="l00801"></a>00801 <span class="comment">/* Count the number of rays */</span>
<a name="l00802"></a>00802 <span class="keywordflow">for</span>(i=0, rays=0; i<nbRows; i++)
<a name="l00803"></a>00803 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(Pol-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[i][0]) ||
<a name="l00804"></a>00804 <a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(Pol-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[i][nbColumns-1]))
<a name="l00805"></a>00805 ++rays;
<a name="l00806"></a>00806
<a name="l00807"></a>00807 <span class="comment">/* Initialize the result */</span>
<a name="l00808"></a>00808 result=(<a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a>));
<a name="l00809"></a>00809 result-><a class="code" href="struct__Param__Polyhedron.html#baa0a017c7bef81b5ed9f6d2fd3f6f58">nbV</a>=nbRows-rays;
<a name="l00810"></a>00810 result-><a class="code" href="struct__Param__Polyhedron.html#183b47f3f8b8c27079a840c934e7b972">V</a>=NULL;
<a name="l00811"></a>00811 result-><a class="code" href="struct__Param__Polyhedron.html#c89157421ffc9312f82b11cb89a05dfe">Constraints</a> = <a class="code" href="polyhedron_8c.html#69417a994cd682d0c391ecff6d223cd2">Polyhedron2Constraints</a>(Pol);
<a name="l00812"></a>00812 result-><a class="code" href="struct__Param__Polyhedron.html#3daced8ddb352cfa5ed1eeb949f102c5">Rays</a> = Rays;
<a name="l00813"></a>00813
<a name="l00814"></a>00814 <span class="comment">/* Build the parametric vertices */</span>
<a name="l00815"></a>00815 <span class="keywordflow">for</span>(i=0;i<nbRows;i++) {
<a name="l00816"></a>00816 <a class="code" href="structmatrix.html">Matrix</a> *vertex;
<a name="l00817"></a>00817 <a class="code" href="struct__Param__Vertex.html">Param_Vertices</a> *paramVertex;
<a name="l00818"></a>00818 <span class="keywordtype">int</span> j;
<a name="l00819"></a>00819
<a name="l00820"></a>00820 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(Pol-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[i][0]) ||
<a name="l00821"></a>00821 <a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(Pol-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[i][nbColumns-1]))
<a name="l00822"></a>00822 <span class="keywordflow">continue</span>;
<a name="l00823"></a>00823
<a name="l00824"></a>00824 vertex=<a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nbColumns-2,2);
<a name="l00825"></a>00825 <span class="keywordflow">for</span>(j=1;j<nbColumns-1;j++) {
<a name="l00826"></a>00826 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(vertex-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j-1][0],Pol-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[i][j]);
<a name="l00827"></a>00827 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(vertex-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j-1][1],Pol-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[i][nbColumns-1]);
<a name="l00828"></a>00828 }
<a name="l00829"></a>00829 paramVertex=(<a class="code" href="struct__Param__Vertex.html">Param_Vertices</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="struct__Param__Vertex.html">Param_Vertices</a>));
<a name="l00830"></a>00830 paramVertex-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a>=vertex;
<a name="l00831"></a>00831
<a name="l00832"></a>00832 <span class="comment">/* There is one validity domain : universe of dimension 0 */</span>
<a name="l00833"></a>00833 paramVertex-><a class="code" href="struct__Param__Vertex.html#09d8d34daf37b7cbcff6761b80761f26">Domain</a>=<a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(1,2);
<a name="l00834"></a>00834 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(paramVertex-><a class="code" href="struct__Param__Vertex.html#09d8d34daf37b7cbcff6761b80761f26">Domain</a>-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[0][0],1);
<a name="l00835"></a>00835 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(paramVertex-><a class="code" href="struct__Param__Vertex.html#09d8d34daf37b7cbcff6761b80761f26">Domain</a>-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[0][1],1);
<a name="l00836"></a>00836 paramVertex-><a class="code" href="struct__Param__Vertex.html#f7ff9a4be6a5202a9bcf741a8b233c9e">Facets</a> = NULL;
<a name="l00837"></a>00837 paramVertex-><a class="code" href="struct__Param__Vertex.html#1115989a70826c590a1c71923cdeee68">next</a>=result-><a class="code" href="struct__Param__Polyhedron.html#183b47f3f8b8c27079a840c934e7b972">V</a>;
<a name="l00838"></a>00838 result-><a class="code" href="struct__Param__Polyhedron.html#183b47f3f8b8c27079a840c934e7b972">V</a>=paramVertex;
<a name="l00839"></a>00839 }
<a name="l00840"></a>00840
<a name="l00841"></a>00841 <span class="comment">/* Build the parametric domains (only one here) */</span>
<a name="l00842"></a>00842 <span class="keywordflow">if</span> (nbRows > 1)
<a name="l00843"></a>00843 size=(nbRows-1)/(8*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>))+1;
<a name="l00844"></a>00844 <span class="keywordflow">else</span>
<a name="l00845"></a>00845 size = 1;
<a name="l00846"></a>00846 result-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>=(<a class="code" href="struct__Param__Domain.html">Param_Domain</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="struct__Param__Domain.html">Param_Domain</a>));
<a name="l00847"></a>00847 result-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a>=NULL;
<a name="l00848"></a>00848 result-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>=<a class="code" href="polyhedron_8c.html#832c074e0ce9da3df126dc7d51248276">Universe_Polyhedron</a>(0);
<a name="l00849"></a>00849 result-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>=(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *)malloc(size*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));
<a name="l00850"></a>00850 memset(&result-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[0],0xFF,size*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));
<a name="l00851"></a>00851
<a name="l00852"></a>00852 <span class="keywordflow">return</span> result;
<a name="l00853"></a>00853 } <span class="comment">/* GenParamPolyhedron */</span>
<a name="l00854"></a>00854
<a name="l00855"></a>00855
<a name="l00856"></a>00856 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00857"></a>00857 <span class="comment">/* PreElim_Columns */</span>
<a name="l00858"></a>00858 <span class="comment">/* function being called before Elim_Columns */</span>
<a name="l00859"></a>00859 <span class="comment">/* Equalities in E are analysed to initialize ref and p. */</span>
<a name="l00860"></a>00860 <span class="comment">/* These two vectors are used to construct the new constraint matrix */</span>
<a name="l00861"></a>00861 <span class="comment">/* PreElim_Columns returns the transformation matrix to re-convert the */</span>
<a name="l00862"></a>00862 <span class="comment">/* resulting domains in the same format (by adding empty columns) */</span>
<a name="l00863"></a>00863 <span class="comment">/* in the parameter space */</span>
<a name="l00864"></a>00864 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00865"></a><a class="code" href="polyparam_8c.html#e97949d9cf65b5371d6e5867d07ff679">00865</a> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="polyparam_8c.html#e97949d9cf65b5371d6e5867d07ff679">PreElim_Columns</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *E,<span class="keywordtype">int</span> *<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">int</span> *ref,<span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>) {
<a name="l00866"></a>00866
<a name="l00867"></a>00867 <span class="keywordtype">int</span> i,j,l;
<a name="l00868"></a>00868 <a class="code" href="structmatrix.html">Matrix</a> *T;
<a name="l00869"></a>00869
<a name="l00870"></a>00870 <span class="comment">/* find which columns to eliminate */</span>
<a name="l00871"></a>00871 <span class="comment">/* p contains, for each line in E, the column to eliminate */</span>
<a name="l00872"></a>00872 <span class="comment">/* (i.e. the corresponding parameter index to eliminate) */</span>
<a name="l00873"></a>00873 <span class="comment">/* 0 <= i <= E->NbEq, and 1 <= p[i] <= E->Dimension */</span>
<a name="l00874"></a>00874 memset(p,0,<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>)*(E-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>));
<a name="l00875"></a>00875
<a name="l00876"></a>00876 <span class="preprocessor">#ifdef DEBUGPP32</span>
<a name="l00877"></a>00877 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"\n\nPreElim_Columns starting\n"</span>);
<a name="l00878"></a>00878 fprintf(stderr,<span class="stringliteral">"E =\n"</span>);
<a name="l00879"></a>00879 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,E);
<a name="l00880"></a>00880 <span class="preprocessor">#endif</span>
<a name="l00881"></a>00881 <span class="preprocessor"></span>
<a name="l00882"></a>00882 <span class="keywordflow">for</span>(l=0;l<E-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>;++l) {
<a name="l00883"></a>00883 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(E-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][0])) {
<a name="l00884"></a>00884 fprintf(stderr,<span class="stringliteral">"Internal error: Elim_Columns (polyparam.c), expecting equalities first in E.\n"</span>);
<a name="l00885"></a>00885 free(p);
<a name="l00886"></a>00886 <span class="keywordflow">return</span>(NULL);
<a name="l00887"></a>00887 }
<a name="l00888"></a>00888 <span class="keywordflow">for</span>(i=1;<a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(E-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][i]);++i) {
<a name="l00889"></a>00889 <span class="keywordflow">if</span>(i==E-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>+1) {
<a name="l00890"></a>00890 fprintf(stderr,<span class="stringliteral">"Internal error: Elim_Columns (polyparam.c), expecting non-empty constraint in E.\n"</span>);
<a name="l00891"></a>00891 free(p);
<a name="l00892"></a>00892 <span class="keywordflow">return</span>( NULL );
<a name="l00893"></a>00893 }
<a name="l00894"></a>00894 }
<a name="l00895"></a>00895 p[l] = i;
<a name="l00896"></a>00896
<a name="l00897"></a>00897 <span class="preprocessor">#ifdef DEBUGPP32</span>
<a name="l00898"></a>00898 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"p[%d] = %d,"</span>,l,p[l]);
<a name="l00899"></a>00899 <span class="preprocessor">#endif</span>
<a name="l00900"></a>00900 <span class="preprocessor"></span> }
<a name="l00901"></a>00901
<a name="l00902"></a>00902 <span class="comment">/* Reference vector: column ref[i] in A corresponds to column i in M */</span>
<a name="l00903"></a>00903 <span class="keywordflow">for</span>(i=0;i<E-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>+2-E-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>;++i) {
<a name="l00904"></a>00904 ref[i]=i;
<a name="l00905"></a>00905 <span class="keywordflow">for</span>(j=0;j<E-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>;++j)
<a name="l00906"></a>00906 <span class="keywordflow">if</span>(p[j]<=ref[i])
<a name="l00907"></a>00907 ref[i]++;
<a name="l00908"></a>00908
<a name="l00909"></a>00909 <span class="preprocessor">#ifdef DEBUGPP32</span>
<a name="l00910"></a>00910 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"ref[%d] = %d,"</span>,i,ref[i]);
<a name="l00911"></a>00911 <span class="preprocessor">#endif</span>
<a name="l00912"></a>00912 <span class="preprocessor"></span> }
<a name="l00913"></a>00913
<a name="l00914"></a>00914 <span class="comment">/* Size of T : phdim-nbEq * phdim */</span>
<a name="l00915"></a>00915 T = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(m+1-E-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>,m+1);
<a name="l00916"></a>00916 <span class="keywordflow">for</span>(i=0;i<T-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;i++)
<a name="l00917"></a>00917 <span class="keywordflow">for</span>(j=0;j<T-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;j++)
<a name="l00918"></a>00918 <span class="keywordflow">if</span>(ref[E-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>-m+j+1] == E-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>-m+i+1)
<a name="l00919"></a>00919 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(T-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i],1);
<a name="l00920"></a>00920 <span class="keywordflow">else</span>
<a name="l00921"></a>00921 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(T-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i],0);
<a name="l00922"></a>00922
<a name="l00923"></a>00923 <span class="preprocessor">#ifdef DEBUGPP32</span>
<a name="l00924"></a>00924 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"\nTransMatrix =\n"</span>);
<a name="l00925"></a>00925 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,T);
<a name="l00926"></a>00926 <span class="preprocessor">#endif</span>
<a name="l00927"></a>00927 <span class="preprocessor"></span>
<a name="l00928"></a>00928 <span class="keywordflow">return</span>(T);
<a name="l00929"></a>00929
<a name="l00930"></a>00930 } <span class="comment">/* PreElim_Columns */</span>
<a name="l00931"></a>00931
<a name="l00932"></a>00932 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00933"></a>00933 <span class="comment">/* Elim_Columns */</span>
<a name="l00934"></a>00934 <span class="comment">/* Eliminate columns from A, using the equalities in E. */</span>
<a name="l00935"></a>00935 <span class="comment">/* ref and p are precalculated by PreElim_Columns, using E; */</span>
<a name="l00936"></a>00936 <span class="comment">/* these two vectors are used to construct the new constraint matrix */</span>
<a name="l00937"></a>00937 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l00938"></a><a class="code" href="polyparam_8c.html#9fcc2f1ba720686b96fea8e1a6b25278">00938</a> <a class="code" href="structpolyhedron.html">Polyhedron</a> *<a class="code" href="polyparam_8c.html#9fcc2f1ba720686b96fea8e1a6b25278">Elim_Columns</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *A,<a class="code" href="structpolyhedron.html">Polyhedron</a> *E,<span class="keywordtype">int</span> *<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>,<span class="keywordtype">int</span> *ref) {
<a name="l00939"></a>00939
<a name="l00940"></a>00940 <span class="keywordtype">int</span> i,l,c;
<a name="l00941"></a>00941 <a class="code" href="structmatrix.html">Matrix</a> *M, *C;
<a name="l00942"></a>00942 <a class="code" href="structpolyhedron.html">Polyhedron</a> *R;
<a name="l00943"></a>00943 Value tmp1,tmp2;
<a name="l00944"></a>00944
<a name="l00945"></a>00945 <span class="comment">/* Initialize all the 'Value' variables */</span>
<a name="l00946"></a>00946 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp1); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp2);
<a name="l00947"></a>00947
<a name="l00948"></a>00948 <span class="preprocessor">#ifdef DEBUGPP32</span>
<a name="l00949"></a>00949 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"\nElim_Columns starting\n"</span>);
<a name="l00950"></a>00950 fprintf(stderr,<span class="stringliteral">"A =\n"</span> );
<a name="l00951"></a>00951 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,A);
<a name="l00952"></a>00952 <span class="preprocessor">#endif</span>
<a name="l00953"></a>00953 <span class="preprocessor"></span>
<a name="l00954"></a>00954 <span class="comment">/* Builds M = constraint matrix of A, useless columns zeroed */</span>
<a name="l00955"></a>00955 M = <a class="code" href="polyhedron_8c.html#69417a994cd682d0c391ecff6d223cd2">Polyhedron2Constraints</a>(A);
<a name="l00956"></a>00956 <span class="keywordflow">for</span>(l=0;l<E-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>;++l) {
<a name="l00957"></a>00957 <span class="keywordflow">for</span>(c=0;c<M-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++c) {
<a name="l00958"></a>00958 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[c][p[l]])) {
<a name="l00959"></a>00959
<a name="l00960"></a>00960 <span class="comment">/* A parameter to eliminate here ! */</span>
<a name="l00961"></a>00961 <span class="keywordflow">for</span>(i=1;i<M-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;++i) {
<a name="l00962"></a>00962 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(tmp1,M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[c][i],E-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][p[l]]);
<a name="l00963"></a>00963 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(tmp2,E-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][i],M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[c][p[l]]);
<a name="l00964"></a>00964 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[c][i],tmp1,tmp2);
<a name="l00965"></a>00965 }
<a name="l00966"></a>00966 }
<a name="l00967"></a>00967 }
<a name="l00968"></a>00968 }
<a name="l00969"></a>00969
<a name="l00970"></a>00970 <span class="preprocessor">#ifdef DEBUGPP32</span>
<a name="l00971"></a>00971 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"\nElim_Columns after zeroing columns of A.\n"</span>);
<a name="l00972"></a>00972 fprintf(stderr,<span class="stringliteral">"M =\n"</span>);
<a name="l00973"></a>00973 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,M);
<a name="l00974"></a>00974 <span class="preprocessor">#endif</span>
<a name="l00975"></a>00975 <span class="preprocessor"></span>
<a name="l00976"></a>00976 <span class="comment">/* Builds C = constraint matrix, useless columns eliminated */</span>
<a name="l00977"></a>00977 C = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(M-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>,M-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a> - E-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>);
<a name="l00978"></a>00978 <span class="keywordflow">for</span>(l=0;l<C-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++l)
<a name="l00979"></a>00979 <span class="keywordflow">for</span>(c=0;c<C-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;++c) {
<a name="l00980"></a>00980 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(C-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][c],M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][ref[c]]);
<a name="l00981"></a>00981 }
<a name="l00982"></a>00982
<a name="l00983"></a>00983 <span class="preprocessor">#ifdef DEBUGPP32</span>
<a name="l00984"></a>00984 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"\nElim_Columns after eliminating columns of A.\n"</span>);
<a name="l00985"></a>00985 fprintf(stderr,<span class="stringliteral">"C =\n"</span>);
<a name="l00986"></a>00986 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,C);
<a name="l00987"></a>00987 <span class="preprocessor">#endif</span>
<a name="l00988"></a>00988 <span class="preprocessor"></span>
<a name="l00989"></a>00989 R = <a class="code" href="polyhedron_8c.html#efb77665a187d751bdd44f106b12465e" title="Given a matrix of constraints (&#39;Constraints&#39;), construct and return a polyhedron...">Constraints2Polyhedron</a>(C,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l00990"></a>00990 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(C);
<a name="l00991"></a>00991 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(M);
<a name="l00992"></a>00992 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp1); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp2);
<a name="l00993"></a>00993 <span class="keywordflow">return</span>(R);
<a name="l00994"></a>00994 } <span class="comment">/* Elim_Columns */</span>
<a name="l00995"></a>00995
<a name="l00996"></a>00996
<a name="l00997"></a><a class="code" href="polyparam_8c.html#93dc57288d6c3b4166bc0b52b6b374e2">00997</a> <span class="keyword">static</span> <a class="code" href="structpolyhedron.html">Polyhedron</a> *<a class="code" href="polyparam_8c.html#93dc57288d6c3b4166bc0b52b6b374e2">Recession_Cone</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *P, <span class="keywordtype">unsigned</span> nvar, <span class="keywordtype">unsigned</span> MaxRays)
<a name="l00998"></a>00998 {
<a name="l00999"></a>00999 <span class="keywordtype">int</span> i;
<a name="l01000"></a>01000 <a class="code" href="structmatrix.html">Matrix</a> *M = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(P-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>, 1 + nvar + 1);
<a name="l01001"></a>01001 <a class="code" href="structpolyhedron.html">Polyhedron</a> *R;
<a name="l01002"></a>01002 <span class="keywordflow">for</span> (i = 0; i < P-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>; ++i)
<a name="l01003"></a>01003 <a class="code" href="vector_8c.html#b6eca9ad03a2f4a60dd79182289e0e0b">Vector_Copy</a>(P-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[i], M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i], 1+nvar);
<a name="l01004"></a>01004 R = <a class="code" href="polyhedron_8c.html#efb77665a187d751bdd44f106b12465e" title="Given a matrix of constraints (&#39;Constraints&#39;), construct and return a polyhedron...">Constraints2Polyhedron</a>(M, MaxRays);
<a name="l01005"></a>01005 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(M);
<a name="l01006"></a>01006 <span class="keywordflow">return</span> R;
<a name="l01007"></a>01007 }
<a name="l01008"></a>01008
<a name="l01009"></a>01009 <span class="comment">/* Compute lines/unidirectional rays of the (non parametric) polyhedron */</span>
<a name="l01010"></a>01010 <span class="comment">/* Input :</span>
<a name="l01011"></a>01011 <span class="comment"> * D1 : combined polyhedron,</span>
<a name="l01012"></a>01012 <span class="comment"> * Output :</span>
<a name="l01013"></a>01013 <span class="comment"> * Rays : non parametric ray matrix</span>
<a name="l01014"></a>01014 <span class="comment"> * return value : number of lines</span>
<a name="l01015"></a>01015 <span class="comment"> */</span>
<a name="l01016"></a><a class="code" href="polyparam_8c.html#42014041fd15492ef6ea79f493e7ec30">01016</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#42014041fd15492ef6ea79f493e7ec30">ComputeNPLinesRays</a>(<span class="keywordtype">int</span> <a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>, <a class="code" href="structpolyhedron.html">Polyhedron</a> *D1, <a class="code" href="structmatrix.html">Matrix</a> **Rays)
<a name="l01017"></a>01017 {
<a name="l01018"></a>01018 <span class="keywordtype">int</span> i, j, nbr, dimfaces;
<a name="l01019"></a>01019 <a class="code" href="structpolyhedron.html">Polyhedron</a> *RC; <span class="comment">/* Recession Cone */</span>
<a name="l01020"></a>01020
<a name="l01021"></a>01021 RC = <a class="code" href="polyparam_8c.html#93dc57288d6c3b4166bc0b52b6b374e2">Recession_Cone</a>(D1, n, <a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l01022"></a>01022
<a name="l01023"></a>01023 <span class="comment">/* get the rays/lines from RC */</span>
<a name="l01024"></a>01024 nbr = 0;
<a name="l01025"></a>01025 <span class="keywordflow">for</span> (i = 0; i < RC-><a class="code" href="structpolyhedron.html#74cba037f5ac1c7182bf960d79d3f124">NbRays</a> ;i++)
<a name="l01026"></a>01026 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(RC-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[i][n+1]))
<a name="l01027"></a>01027 nbr++;
<a name="l01028"></a>01028 *Rays=<a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nbr, n+2);
<a name="l01029"></a>01029 <span class="keywordflow">for</span> (i = 0, j = 0; j < nbr ;i++)
<a name="l01030"></a>01030 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(RC-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[i][n+1]))
<a name="l01031"></a>01031 <a class="code" href="vector_8c.html#b6eca9ad03a2f4a60dd79182289e0e0b">Vector_Copy</a>(RC-><a class="code" href="structpolyhedron.html#1332db86327e189effc8798ab230f36a">Ray</a>[i], (*Rays)->p[j++], n+2);
<a name="l01032"></a>01032
<a name="l01033"></a>01033 dimfaces = RC-><a class="code" href="structpolyhedron.html#9e7c80deeddf472a57bd54217f75c717">NbBid</a>;
<a name="l01034"></a>01034 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(RC);
<a name="l01035"></a>01035
<a name="l01036"></a>01036 <span class="preprocessor">#ifdef DEBUGPP31</span>
<a name="l01037"></a>01037 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"Rays = "</span>);
<a name="l01038"></a>01038 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr, <a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>, *Rays);
<a name="l01039"></a>01039 fprintf(stderr, <span class="stringliteral">"dimfaces = %d\n"</span>, dimfaces);
<a name="l01040"></a>01040 <span class="preprocessor">#endif</span>
<a name="l01041"></a>01041 <span class="preprocessor"></span>
<a name="l01042"></a>01042 <span class="keywordflow">return</span> dimfaces;
<a name="l01043"></a>01043 }
<a name="l01044"></a>01044
<a name="l01045"></a>01045 <span class="comment">/* </span>
<a name="l01046"></a>01046 <span class="comment"> * Given a polyhedron 'Di' in combined data and parameter space and a context </span>
<a name="l01047"></a>01047 <span class="comment"> * polyhedron 'C' representing the constraints on the parameter space, create</span>
<a name="l01048"></a>01048 <span class="comment"> * a list of parameterized vertices and assign values to global variables: </span>
<a name="l01049"></a>01049 <span class="comment"> * m,n,ws,Sat,egalite,mf,Xi,Pi,PiInv,RaysDi,CEqualities. </span>
<a name="l01050"></a>01050 <span class="comment"> */</span>
<a name="l01051"></a><a class="code" href="polyparam_8c.html#2058929b5ad7772d9e28faae3069bf04">01051</a> <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *<a class="code" href="polyparam_8c.html#2058929b5ad7772d9e28faae3069bf04">Find_m_faces</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> **Di,<a class="code" href="structpolyhedron.html">Polyhedron</a> *C,<span class="keywordtype">int</span> keep_dom,<span class="keywordtype">int</span> working_space,<a class="code" href="structpolyhedron.html">Polyhedron</a> **CEq,<a class="code" href="structmatrix.html">Matrix</a> **CT) {
<a name="l01052"></a>01052
<a name="l01053"></a>01053 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *mf;
<a name="l01054"></a>01054 <span class="keywordtype">int</span> i, j, dimfaces;
<a name="l01055"></a>01055 <a class="code" href="structpolyhedron.html">Polyhedron</a> *D=*Di,
<a name="l01056"></a>01056 *C1, <span class="comment">/* true context */</span>
<a name="l01057"></a>01057 *D1; <span class="comment">/* the combined polyhedron, including context C */</span>
<a name="l01058"></a>01058 <a class="code" href="structmatrix.html">Matrix</a> *Rays, <span class="comment">/* lines/rays (non parametric) */</span>
<a name="l01059"></a>01059 *M;
<a name="l01060"></a>01060 <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *res;
<a name="l01061"></a>01061 <span class="keywordtype">int</span> *<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>, *ref;
<a name="l01062"></a>01062
<a name="l01063"></a>01063 CEqualities = NULL;
<a name="l01064"></a>01064
<a name="l01065"></a>01065 <span class="keywordflow">if</span>(CT) {
<a name="l01066"></a>01066 *CEq = NULL;
<a name="l01067"></a>01067 *CT = NULL;
<a name="l01068"></a>01068 }
<a name="l01069"></a>01069
<a name="l01070"></a>01070 <span class="keywordflow">if</span>(!D || !C)
<a name="l01071"></a>01071 <span class="keywordflow">return</span> (<a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *) 0;
<a name="l01072"></a>01072
<a name="l01073"></a>01073 <a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a> = working_space;
<a name="l01074"></a>01074 <a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a> = C-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>;
<a name="l01075"></a>01075 <a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a> = D-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a> - <a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>;
<a name="l01076"></a>01076 <span class="keywordflow">if</span>(<a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a><0) {
<a name="l01077"></a>01077 fprintf(stderr,
<a name="l01078"></a>01078 <span class="stringliteral">"Find_m_faces: ?%d parameters of a %d-polyhedron !\n"</span>,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>,<a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>);
<a name="l01079"></a>01079 <span class="keywordflow">return</span> (<a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *) 0;
<a name="l01080"></a>01080 }
<a name="l01081"></a>01081 <span class="keywordflow">if</span> (<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>==0)
<a name="l01082"></a>01082 <span class="keywordflow">return</span> <a class="code" href="polyparam_8c.html#d694b78f831d141b6126e858d7b8b11a">GenParamPolyhedron</a>(D,<a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(0,2));
<a name="l01083"></a>01083
<a name="l01084"></a>01084 <span class="comment">/* Add constraints from Context to D -> result in D1 */</span>
<a name="l01085"></a>01085 C1 = <a class="code" href="polyhedron_8c.html#ffd77db2a2f748d557ab6be0fcede209">align_context</a>(C,D-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l01086"></a>01086
<a name="l01087"></a>01087 <span class="preprocessor">#ifdef DEBUGPP31</span>
<a name="l01088"></a>01088 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"m = %d\n"</span>,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>);
<a name="l01089"></a>01089 fprintf(stderr, <span class="stringliteral">"D = "</span>);
<a name="l01090"></a>01090 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,D);
<a name="l01091"></a>01091 fprintf(stderr,<span class="stringliteral">"C1 = "</span>);
<a name="l01092"></a>01092 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,C1);
<a name="l01093"></a>01093 <span class="preprocessor">#endif</span>
<a name="l01094"></a>01094 <span class="preprocessor"></span>
<a name="l01095"></a>01095 D1 = <a class="code" href="polyhedron_8c.html#c5a1a2751f0b833183560af25b18033b">DomainIntersection</a>(D,C1,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l01096"></a>01096
<a name="l01097"></a>01097 <span class="preprocessor">#ifdef DEBUGPP31</span>
<a name="l01098"></a>01098 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"D1 = "</span>);
<a name="l01099"></a>01099 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,D1);
<a name="l01100"></a>01100 <span class="preprocessor">#endif</span>
<a name="l01101"></a>01101 <span class="preprocessor"></span>
<a name="l01102"></a>01102 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(C1);
<a name="l01103"></a>01103
<a name="l01104"></a>01104 <span class="keywordflow">if</span> (!D1)
<a name="l01105"></a>01105 <span class="keywordflow">return</span>(NULL);
<a name="l01106"></a>01106 <span class="keywordflow">if</span> (<a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(D1)) {
<a name="l01107"></a>01107 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(D1);
<a name="l01108"></a>01108 <span class="keywordflow">return</span>(NULL);
<a name="l01109"></a>01109 }
<a name="l01110"></a>01110
<a name="l01111"></a>01111 <span class="comment">/* Compute the true context C1 */</span>
<a name="l01112"></a>01112 <span class="comment">/* M : lines in the direction of the first n indices (index space) */</span>
<a name="l01113"></a>01113 M = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(<a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>, D1->Dimension+2);
<a name="l01114"></a>01114 <span class="keywordflow">for</span> (i=0; i<<a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>; i++)
<a name="l01115"></a>01115 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i+1],1);
<a name="l01116"></a>01116 C1 = <a class="code" href="polyhedron_8c.html#5ac0337f8a955ee77d5414761f3d41bb">DomainAddRays</a>(D1,M,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l01117"></a>01117 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(M);
<a name="l01118"></a>01118
<a name="l01119"></a>01119 <span class="preprocessor">#ifdef DEBUGPP31</span>
<a name="l01120"></a>01120 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"True context C1 = "</span>);
<a name="l01121"></a>01121 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,C1);
<a name="l01122"></a>01122 <span class="preprocessor">#endif</span>
<a name="l01123"></a>01123 <span class="preprocessor"></span>
<a name="l01124"></a>01124 dimfaces = <a class="code" href="polyparam_8c.html#42014041fd15492ef6ea79f493e7ec30">ComputeNPLinesRays</a>(n, D1, &Rays);
<a name="l01125"></a>01125
<a name="l01126"></a>01126 <span class="comment">/* CEqualities contains the constraints (to be added again later) */</span>
<a name="l01127"></a>01127 <span class="comment">/* *CT is the transformation matrix to add the removed parameters */</span>
<a name="l01128"></a>01128 <span class="keywordflow">if</span>(!CT) {
<a name="l01129"></a>01129 <span class="keywordflow">if</span> (C1->NbEq == 0) {
<a name="l01130"></a>01130 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(C1);
<a name="l01131"></a>01131 C1 = NULL;
<a name="l01132"></a>01132 } <span class="keywordflow">else</span> {
<a name="l01133"></a>01133 <a class="code" href="structpolyhedron.html">Polyhedron</a> *CEq1, <span class="comment">/* CEqualities, in homogeneous dim */</span>
<a name="l01134"></a>01134 *D2; <span class="comment">/* D1, (temporary) simplified */</span>
<a name="l01135"></a>01135
<a name="l01136"></a>01136 <span class="comment">/* Remove equalities from true context C1 and from D1 */</span>
<a name="l01137"></a>01137 <span class="comment">/* Compute CEqualities = matrix of equalities in C1, projected in */</span>
<a name="l01138"></a>01138 <span class="comment">/* the parameter space */</span>
<a name="l01139"></a>01139 M = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(C1->NbEq,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+2);
<a name="l01140"></a>01140 <span class="keywordflow">for</span>(j=0,i=0;i<C1->NbEq;++i,++j) {
<a name="l01141"></a>01141 <span class="keywordflow">while</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(C1->Constraint[j][0]))
<a name="l01142"></a>01142 ++j;
<a name="l01143"></a>01143 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][0],C1->Constraint[j][0]);
<a name="l01144"></a>01144 <a class="code" href="vector_8c.html#b6eca9ad03a2f4a60dd79182289e0e0b">Vector_Copy</a>(&C1->Constraint[j][D-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>-<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1],&M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][1],(<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1));
<a name="l01145"></a>01145 }
<a name="l01146"></a>01146 CEqualities = <a class="code" href="polyhedron_8c.html#efb77665a187d751bdd44f106b12465e" title="Given a matrix of constraints (&#39;Constraints&#39;), construct and return a polyhedron...">Constraints2Polyhedron</a>(M,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l01147"></a>01147 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(M);
<a name="l01148"></a>01148 CEq1 = <a class="code" href="polyhedron_8c.html#ffd77db2a2f748d557ab6be0fcede209">align_context</a>(CEqualities,D-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l01149"></a>01149
<a name="l01150"></a>01150 <span class="comment">/* Simplify D1 and C1 (remove the equalities) */</span>
<a name="l01151"></a>01151 D2 = <a class="code" href="polyhedron_8c.html#5fe8c61eb1dddc73783aad88c76ce758">DomainSimplify</a>(D1,CEq1,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l01152"></a>01152 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(D1);
<a name="l01153"></a>01153 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(C1);
<a name="l01154"></a>01154 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(CEq1);
<a name="l01155"></a>01155 D1 = D2;
<a name="l01156"></a>01156 C1 = NULL;
<a name="l01157"></a>01157 }
<a name="l01158"></a>01158 }
<a name="l01159"></a>01159 <span class="keywordflow">else</span> { <span class="comment">/* if( CT ) */</span>
<a name="l01160"></a>01160 <a class="code" href="structpolyhedron.html">Polyhedron</a> *CEq1, <span class="comment">/* CEqualities */</span>
<a name="l01161"></a>01161 *D2; <span class="comment">/* D1, (temporary) simplified */</span>
<a name="l01162"></a>01162
<a name="l01163"></a>01163 <span class="comment">/* Suppress all useless constraints in parameter domain */</span>
<a name="l01164"></a>01164 <span class="comment">/* when CT is not NULL (ehrhart) */</span>
<a name="l01165"></a>01165 <span class="comment">/* Vin100, march 01 */</span>
<a name="l01166"></a>01166 CEq1 = C1;
<a name="l01167"></a>01167 M = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(C1->NbConstraints,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+2);
<a name="l01168"></a>01168 <span class="keywordflow">for</span>(i=0;i<C1->NbConstraints;++i) {
<a name="l01169"></a>01169 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][0],C1->Constraint[i][0]);
<a name="l01170"></a>01170 <a class="code" href="vector_8c.html#b6eca9ad03a2f4a60dd79182289e0e0b">Vector_Copy</a>(&C1->Constraint[i][D-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>-<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1],&M-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][1],(<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1));
<a name="l01171"></a>01171 }
<a name="l01172"></a>01172 CEqualities = <a class="code" href="polyhedron_8c.html#efb77665a187d751bdd44f106b12465e" title="Given a matrix of constraints (&#39;Constraints&#39;), construct and return a polyhedron...">Constraints2Polyhedron</a>( M, <a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a> );
<a name="l01173"></a>01173 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(M);
<a name="l01174"></a>01174
<a name="l01175"></a>01175 D2 = <a class="code" href="polyhedron_8c.html#5fe8c61eb1dddc73783aad88c76ce758">DomainSimplify</a>(D1,CEq1,<a class="code" href="polyparam_8c.html#4ce1d90e1286c970cb521bd2c85a42be">ws</a>);
<a name="l01176"></a>01176 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(D1);
<a name="l01177"></a>01177 D1 = D2;
<a name="l01178"></a>01178 C1 = <a class="code" href="polyhedron_8c.html#832c074e0ce9da3df126dc7d51248276">Universe_Polyhedron</a>(D2-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>);
<a name="l01179"></a>01179
<a name="l01180"></a>01180 <span class="comment">/* if CT is not NULL, the constraints are eliminated */</span>
<a name="l01181"></a>01181 <span class="comment">/* *CT will contain the transformation matrix to come back to the */</span>
<a name="l01182"></a>01182 <span class="comment">/* original dimension (for a polyhedron, in the parameter space) */</span>
<a name="l01183"></a>01183 <span class="keywordflow">if</span>( CEq1-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a> )
<a name="l01184"></a>01184 {
<a name="l01185"></a>01185 <a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a> -= CEq1-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>;
<a name="l01186"></a>01186 p = (<span class="keywordtype">int</span> *)malloc(<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>)*(CEq1-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>));
<a name="l01187"></a>01187 }
<a name="l01188"></a>01188 <span class="keywordflow">else</span>
<a name="l01189"></a>01189 p = NULL;
<a name="l01190"></a>01190 ref = (<span class="keywordtype">int</span>*) malloc(<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>)*
<a name="l01191"></a>01191 (CEq1-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>+2-CEq1-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>));
<a name="l01192"></a>01192 *CT = <a class="code" href="polyparam_8c.html#e97949d9cf65b5371d6e5867d07ff679">PreElim_Columns</a>(CEq1,p,ref,CEqualities-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>);
<a name="l01193"></a>01193 D2 = <a class="code" href="polyparam_8c.html#9fcc2f1ba720686b96fea8e1a6b25278">Elim_Columns</a>(D1,CEq1,p,ref);
<a name="l01194"></a>01194 <span class="keywordflow">if</span> (p)
<a name="l01195"></a>01195 free(p);
<a name="l01196"></a>01196 free(ref);
<a name="l01197"></a>01197
<a name="l01198"></a>01198 <span class="preprocessor">#ifdef DEBUGPP3</span>
<a name="l01199"></a>01199 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"D2\t Dim = %3d\tNbEq = %3d\tLines = %3d\n"</span>,
<a name="l01200"></a>01200 D2-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>,D2-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>,D2-><a class="code" href="structpolyhedron.html#9e7c80deeddf472a57bd54217f75c717">NbBid</a>);
<a name="l01201"></a>01201 C2 = <a class="code" href="polyparam_8c.html#9fcc2f1ba720686b96fea8e1a6b25278">Elim_Columns</a>(C1,CEq1,p,ref);
<a name="l01202"></a>01202 fprintf(stderr,<span class="stringliteral">"C2\t Dim = %3d\tNbEq = %3d\tLines = %3d\n"</span>,
<a name="l01203"></a>01203 C2->Dimension,C2->NbEq,C2->NbBid);
<a name="l01204"></a>01204 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(C2);
<a name="l01205"></a>01205 <span class="preprocessor">#endif</span>
<a name="l01206"></a>01206 <span class="preprocessor"></span>
<a name="l01207"></a>01207 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(D1);
<a name="l01208"></a>01208 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(C1);
<a name="l01209"></a>01209 D1 = D2;
<a name="l01210"></a>01210 C1 = NULL;
<a name="l01211"></a>01211 *CEq = CEqualities;
<a name="l01212"></a>01212
<a name="l01213"></a>01213 <span class="preprocessor">#ifdef DEBUGPP3</span>
<a name="l01214"></a>01214 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Polyhedron CEq = "</span>);
<a name="l01215"></a>01215 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,*CEq);
<a name="l01216"></a>01216 fprintf(stderr,<span class="stringliteral">"Matrix CT = "</span>);
<a name="l01217"></a>01217 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,*CT);
<a name="l01218"></a>01218 <span class="preprocessor">#endif</span>
<a name="l01219"></a>01219 <span class="preprocessor"></span>
<a name="l01220"></a>01220 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(CEq1);
<a name="l01221"></a>01221 CEqualities = NULL; <span class="comment">/* don't simplify ! */</span>
<a name="l01222"></a>01222
<a name="l01223"></a>01223 <span class="comment">/* m changed !!! */</span>
<a name="l01224"></a>01224 <span class="keywordflow">if</span>(<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>==0) {
<a name="l01225"></a>01225 <span class="comment">/* return the new D1 too */</span>
<a name="l01226"></a>01226 *Di = D1;
<a name="l01227"></a>01227
<a name="l01228"></a>01228 <span class="keywordflow">return</span> <a class="code" href="polyparam_8c.html#d694b78f831d141b6126e858d7b8b11a">GenParamPolyhedron</a>(D1, Rays);
<a name="l01229"></a>01229 }
<a name="l01230"></a>01230 }
<a name="l01231"></a>01231
<a name="l01232"></a>01232 <span class="preprocessor">#ifdef DEBUGPP3</span>
<a name="l01233"></a>01233 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Polyhedron D1 (D AND C) = "</span>);
<a name="l01234"></a>01234 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>, D1);
<a name="l01235"></a>01235 fprintf(stderr,<span class="stringliteral">"Polyhedron CEqualities = "</span>);
<a name="l01236"></a>01236 <span class="keywordflow">if</span>(CEqualities) <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>, CEqualities);
<a name="l01237"></a>01237 <span class="keywordflow">else</span> fprintf(stderr,<span class="stringliteral">"NULL\n"</span>);
<a name="l01238"></a>01238 <span class="preprocessor">#endif</span>
<a name="l01239"></a>01239 <span class="preprocessor"></span>
<a name="l01240"></a>01240 <a class="code" href="polyparam_8c.html#feb763676895f49e165f3b279c9aa946">KD</a> = keep_dom;
<a name="l01241"></a>01241 PDomains = NULL;
<a name="l01242"></a>01242 PV_Result = NULL;
<a name="l01243"></a>01243 <a class="code" href="polyparam_8c.html#135433bf69beff8673f093340cbe29be">nbPV</a> = 0;
<a name="l01244"></a>01244
<a name="l01245"></a>01245 <span class="keywordflow">if</span> (<a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(D1)) {
<a name="l01246"></a>01246 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(D1);
<a name="l01247"></a>01247 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(Rays);
<a name="l01248"></a>01248 <span class="keywordflow">return</span> NULL;
<a name="l01249"></a>01249 }
<a name="l01250"></a>01250
<a name="l01251"></a>01251 <span class="comment">/* mf : a bit array indicating which rays are part of the m-face */</span>
<a name="l01252"></a>01252 <span class="comment">/* Poly2Sat initializes mf to all ones */</span>
<a name="l01253"></a>01253 <span class="comment">/* set global variable nr to size (number of words) of mf */</span>
<a name="l01254"></a>01254 Sat = <a class="code" href="polyparam_8c.html#be53dff202dab1fd41e7dcc035d12562">Poly2Sat</a>(D1,&mf);
<a name="l01255"></a>01255
<a name="l01256"></a>01256 <span class="preprocessor">#ifdef DEBUGPP4</span>
<a name="l01257"></a>01257 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Sat = "</span>);
<a name="l01258"></a>01258 <a class="code" href="polyhedron_8c.html#e7ab7efd2892ac6c61e2acc8f1142f1c">SMPrint</a>(Sat);
<a name="l01259"></a>01259
<a name="l01260"></a>01260 fprintf(stderr,<span class="stringliteral">"mf = "</span>);
<a name="l01261"></a>01261 <span class="keywordflow">for</span> (i=0; i<<a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>; i++)
<a name="l01262"></a>01262 fprintf(stderr,<span class="stringliteral">"%08X"</span>, mf[i]);
<a name="l01263"></a>01263 fprintf(stderr, <span class="stringliteral">"\n"</span>);
<a name="l01264"></a>01264 <span class="preprocessor">#endif</span>
<a name="l01265"></a>01265 <span class="preprocessor"></span>
<a name="l01266"></a>01266 <span class="comment">/* A boolean array saying which constraints are part of the m-face */</span>
<a name="l01267"></a>01267 <a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a> = (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *)malloc(<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>)*D1->NbConstraints);
<a name="l01268"></a>01268 memset(<a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>,0, <span class="keyword">sizeof</span>(<span class="keywordtype">int</span>)*D1->NbConstraints);
<a name="l01269"></a>01269
<a name="l01270"></a>01270 <span class="keywordflow">for</span> (i=0; i<D1->NbEq; i++)
<a name="l01271"></a>01271 <a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>[i] = 1;
<a name="l01272"></a>01272
<a name="l01273"></a>01273 Xi = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(n+1,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1);
<a name="l01274"></a>01274 Pi = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1);
<a name="l01275"></a>01275 PiTest = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1);
<a name="l01276"></a>01276 CTest = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(D-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>+1,D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>);
<a name="l01277"></a>01277 PiInv = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+1,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+2);
<a name="l01278"></a>01278 RaysDi = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(D1->NbRays,<a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>+2);
<a name="l01279"></a>01279 <a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a> = <a class="code" href="polyparam_8c.html#742204794ea328ba293fe59cec79b990">m</a>;
<a name="l01280"></a>01280
<a name="l01281"></a>01281 <span class="comment">/* m_dim has to be increased by the dimension of the smallest faces</span>
<a name="l01282"></a>01282 <span class="comment"> * of the (non parametric) polyhedron</span>
<a name="l01283"></a>01283 <span class="comment"> */</span>
<a name="l01284"></a>01284 <a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a> += dimfaces;
<a name="l01285"></a>01285
<a name="l01286"></a>01286 <span class="comment">/* if the smallest face is of smaller dimension than m_dim,</span>
<a name="l01287"></a>01287 <span class="comment"> * then increase m_dim (I think this should never happen --Vincent)</span>
<a name="l01288"></a>01288 <span class="comment"> */</span>
<a name="l01289"></a>01289 <span class="preprocessor">#ifdef DEBUGPP3</span>
<a name="l01290"></a>01290 <span class="preprocessor"></span> <span class="keywordflow">if</span> (m_dim < D1->NbBid)
<a name="l01291"></a>01291 fprintf(stderr, <span class="stringliteral">"m_dim (%d) < D1->NbBid (%d)\n"</span>, <a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a>, D1->NbBid );
<a name="l01292"></a>01292 <span class="preprocessor">#endif</span>
<a name="l01293"></a>01293 <span class="preprocessor"></span> <span class="keywordflow">if</span> (m_dim < D1->NbBid)
<a name="l01294"></a>01294 <a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a> = D1->NbBid;
<a name="l01295"></a>01295
<a name="l01296"></a>01296 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01297"></a>01297 <span class="preprocessor"></span> nbfaces=0;
<a name="l01298"></a>01298 <span class="preprocessor">#endif</span>
<a name="l01299"></a>01299 <span class="preprocessor"></span><span class="preprocessor">#ifdef DEBUGPP3</span>
<a name="l01300"></a>01300 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"m_dim = %d\n"</span>, <a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a>);
<a name="l01301"></a>01301 fprintf(stderr,
<a name="l01302"></a>01302 <span class="stringliteral">"Target: find faces that saturate %d constraints and %d rays/lines\n"</span>,
<a name="l01303"></a>01303 D1->Dimension - <a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a>,<a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a>+1);
<a name="l01304"></a>01304 <span class="preprocessor">#endif</span>
<a name="l01305"></a>01305 <span class="preprocessor"></span>
<a name="l01306"></a>01306 <span class="comment">/* D1->NbEq constraints already saturated ! */</span>
<a name="l01307"></a>01307 <a class="code" href="polyparam_8c.html#da73886adcb8cc6d3e6f42555ed64689">scan_m_face</a>(D1->NbEq,(D1->Dimension - <a class="code" href="polyparam_8c.html#2cddab0fbe7ba3462be7da14b8cd8817">m_dim</a> - D1->NbEq),D1,mf);
<a name="l01308"></a>01308
<a name="l01309"></a>01309 <span class="comment">/* pos, number of constraints needed */</span>
<a name="l01310"></a>01310
<a name="l01311"></a>01311 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01312"></a>01312 <span class="preprocessor"></span> fprintf( stderr, <span class="stringliteral">"Number of m-faces: %d\n"</span>, nbfaces );
<a name="l01313"></a>01313 <span class="preprocessor">#endif</span>
<a name="l01314"></a>01314 <span class="preprocessor"></span>
<a name="l01315"></a>01315 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(RaysDi);
<a name="l01316"></a>01316 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(PiInv);
<a name="l01317"></a>01317 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(PiTest);
<a name="l01318"></a>01318 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(CTest);
<a name="l01319"></a>01319 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(Pi);
<a name="l01320"></a>01320 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(Xi);
<a name="l01321"></a>01321 free(<a class="code" href="polyparam_8c.html#783e4d6a48a9aae78a8379ea558d714d">egalite</a>);
<a name="l01322"></a>01322 free(mf);
<a name="l01323"></a>01323 <a class="code" href="polyhedron_8c.html#367ed1d639627aa759b98db73cdfc4ef">SMFree</a>(Sat);
<a name="l01324"></a>01324
<a name="l01325"></a>01325 <span class="comment">/* if(CEqualities && keep_dom==0) {</span>
<a name="l01326"></a>01326 <span class="comment"> Domain_Free(CEqualities);</span>
<a name="l01327"></a>01327 <span class="comment"> }</span>
<a name="l01328"></a>01328 <span class="comment"> */</span>
<a name="l01329"></a>01329
<a name="l01330"></a>01330 res = (<a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *) malloc (<span class="keyword">sizeof</span>(<a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a>));
<a name="l01331"></a>01331 res-><a class="code" href="struct__Param__Polyhedron.html#baa0a017c7bef81b5ed9f6d2fd3f6f58">nbV</a> = <a class="code" href="polyparam_8c.html#135433bf69beff8673f093340cbe29be">nbPV</a>;
<a name="l01332"></a>01332 res-><a class="code" href="struct__Param__Polyhedron.html#183b47f3f8b8c27079a840c934e7b972">V</a> = PV_Result;
<a name="l01333"></a>01333 res-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a> = PDomains;
<a name="l01334"></a>01334 res-><a class="code" href="struct__Param__Polyhedron.html#c89157421ffc9312f82b11cb89a05dfe">Constraints</a> = <a class="code" href="polyhedron_8c.html#69417a994cd682d0c391ecff6d223cd2">Polyhedron2Constraints</a>(D1);
<a name="l01335"></a>01335 res-><a class="code" href="struct__Param__Polyhedron.html#3daced8ddb352cfa5ed1eeb949f102c5">Rays</a> = Rays;
<a name="l01336"></a>01336
<a name="l01337"></a>01337 <span class="keywordflow">if</span>(CT) <span class="comment">/* return the new D1 too ! */</span>
<a name="l01338"></a>01338 *Di = D1;
<a name="l01339"></a>01339 <span class="keywordflow">else</span>
<a name="l01340"></a>01340 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(D1);
<a name="l01341"></a>01341
<a name="l01342"></a>01342 <span class="keywordflow">return</span>(res);
<a name="l01343"></a>01343 } <span class="comment">/* Find_m_faces */</span>
<a name="l01344"></a>01344
<a name="l01345"></a>01345 <span class="comment">/*</span>
<a name="l01346"></a>01346 <span class="comment"> * Given parametric domain 'PD' and number of parametric vertices 'nb_domains',</span>
<a name="l01347"></a>01347 <span class="comment"> * find the vertices that belong to distinct sub-domains. </span>
<a name="l01348"></a>01348 <span class="comment"> */</span>
<a name="l01349"></a><a class="code" href="polyparam_8h.html#5b103fb2f86581eaaeba2eb3f567c84c">01349</a> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#5b103fb2f86581eaaeba2eb3f567c84c">Compute_PDomains</a>(<a class="code" href="struct__Param__Domain.html">Param_Domain</a> *PD,<span class="keywordtype">int</span> nb_domains,<span class="keywordtype">int</span> working_space) {
<a name="l01350"></a>01350
<a name="l01351"></a>01351 <span class="keywordtype">unsigned</span> bx;
<a name="l01352"></a>01352 <span class="keywordtype">int</span> i, ix, nv;
<a name="l01353"></a>01353 <a class="code" href="structpolyhedron.html">Polyhedron</a> *dx, *d1, *d2;
<a name="l01354"></a>01354 <a class="code" href="struct__Param__Domain.html">Param_Domain</a> *p1, *p2, *p2prev, *PDNew;
<a name="l01355"></a>01355
<a name="l01356"></a>01356 <span class="keywordflow">if</span> (nb_domains==0) {
<a name="l01357"></a>01357
<a name="l01358"></a>01358 <span class="preprocessor">#ifdef DEBUGPP5</span>
<a name="l01359"></a>01359 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"No domains\n"</span>);
<a name="l01360"></a>01360 <span class="preprocessor">#endif</span>
<a name="l01361"></a>01361 <span class="preprocessor"></span>
<a name="l01362"></a>01362 <span class="keywordflow">return</span>;
<a name="l01363"></a>01363 }
<a name="l01364"></a>01364
<a name="l01365"></a>01365 <span class="comment">/* Already filled out by GenParamPolyhedron */</span>
<a name="l01366"></a>01366 <span class="keywordflow">if</span> (!PD-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a> && PD-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>)
<a name="l01367"></a>01367 <span class="keywordflow">return</span>;
<a name="l01368"></a>01368
<a name="l01369"></a>01369 <span class="comment">/* Initialization */</span>
<a name="l01370"></a>01370 nv = (nb_domains - 1)/(8*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>)) + 1;
<a name="l01371"></a>01371
<a name="l01372"></a>01372 <span class="preprocessor">#ifdef DEBUGPP5</span>
<a name="l01373"></a>01373 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"nv = %d\n"</span>,nv);
<a name="l01374"></a>01374 <span class="preprocessor">#endif</span>
<a name="l01375"></a>01375 <span class="preprocessor"></span>
<a name="l01376"></a>01376 <span class="keywordflow">for</span>(p1=PD,i=0,ix=0,bx=<a class="code" href="types_8h.html#11f27b3b63dfc15c4b4fbb665a3ce3fe">MSB</a>;p1;p1=p1-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a>,i++) {
<a name="l01377"></a>01377
<a name="l01378"></a>01378 <span class="comment">/* Assign a bit array 'p1->F' of suitable size to include the vertices */</span>
<a name="l01379"></a>01379 p1-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a> = (<span class="keywordtype">unsigned</span> *) malloc (nv * <span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span>));
<a name="l01380"></a>01380
<a name="l01381"></a>01381 <span class="comment">/* Set the bit array to zeros */</span>
<a name="l01382"></a>01382 memset(p1-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>,0,nv * <span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span>));
<a name="l01383"></a>01383 p1-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[ix] |= bx; <span class="comment">/* Set i'th bit to one */</span>
<a name="l01384"></a>01384 <a class="code" href="types_8h.html#3dd66db5db700555d4e24314974a2ea1">NEXT</a>(ix, bx);
<a name="l01385"></a>01385 }
<a name="l01386"></a>01386
<a name="l01387"></a>01387 <span class="preprocessor">#ifdef DEBUGPP5</span>
<a name="l01388"></a>01388 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"nb of vertices=%d\n"</span>,i);
<a name="l01389"></a>01389 <span class="preprocessor">#endif</span>
<a name="l01390"></a>01390 <span class="preprocessor"></span>
<a name="l01391"></a>01391 <span class="comment">/* Walk the PD list with two pointers */</span>
<a name="l01392"></a>01392 ix = 0; bx=<a class="code" href="types_8h.html#11f27b3b63dfc15c4b4fbb665a3ce3fe">MSB</a>;
<a name="l01393"></a>01393 <span class="keywordflow">for</span> (p1=PD;p1;p1=p1-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a>) {
<a name="l01394"></a>01394 <span class="keywordflow">for</span> (p2prev=p1,p2=p1-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a>;p2;p2prev=p2,p2=p2-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a>) {
<a name="l01395"></a>01395
<a name="l01396"></a>01396 <span class="comment">/* Find intersection */</span>
<a name="l01397"></a>01397 dx = <a class="code" href="polyparam_8c.html#6b9861272d427f2ed7767ce9dcf783c7">PDomainIntersection</a>(p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>,p2-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>,working_space);
<a name="l01398"></a>01398
<a name="l01399"></a>01399 <span class="keywordflow">if</span> (!dx || <a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(dx)) {
<a name="l01400"></a>01400
<a name="l01401"></a>01401 <span class="preprocessor">#ifdef DEBUGPP5</span>
<a name="l01402"></a>01402 <span class="preprocessor"></span> fprintf( stderr, <span class="stringliteral">"Empty dx (p1 inter p2). Continuing\n"</span>);
<a name="l01403"></a>01403 <span class="preprocessor">#endif</span>
<a name="l01404"></a>01404 <span class="preprocessor"></span> <span class="keywordflow">if</span>(dx)
<a name="l01405"></a>01405 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(dx);
<a name="l01406"></a>01406 <span class="keywordflow">continue</span>;
<a name="l01407"></a>01407 }
<a name="l01408"></a>01408
<a name="l01409"></a>01409 <span class="preprocessor">#ifdef DEBUGPP5 </span>
<a name="l01410"></a>01410 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Begin PDomainDifference\n"</span>);
<a name="l01411"></a>01411 fprintf(stderr, <span class="stringliteral">"p1="</span>);
<a name="l01412"></a>01412 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>);
<a name="l01413"></a>01413 fprintf(stderr,<span class="stringliteral">"p2="</span>);
<a name="l01414"></a>01414 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,p2-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>);
<a name="l01415"></a>01415 <span class="preprocessor">#endif</span>
<a name="l01416"></a>01416 <span class="preprocessor"></span> d1 = <a class="code" href="polyparam_8c.html#c234c76f3561c8799ddf6ff8de425e1f">PDomainDifference</a>(p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>,p2-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>,working_space);
<a name="l01417"></a>01417 d2 = <a class="code" href="polyparam_8c.html#c234c76f3561c8799ddf6ff8de425e1f">PDomainDifference</a>(p2-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>,p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>,working_space);
<a name="l01418"></a>01418
<a name="l01419"></a>01419 <span class="preprocessor">#ifdef DEBUGPP5 </span>
<a name="l01420"></a>01420 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"p1\\p2="</span>);
<a name="l01421"></a>01421 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,d1);
<a name="l01422"></a>01422 fprintf(stderr,<span class="stringliteral">"p2\\p1="</span>);
<a name="l01423"></a>01423 <a class="code" href="polyhedron_8c.html#d87595bd01c5cdd0f3933824943db496">Polyhedron_Print</a>(stderr,<a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a>,d2);
<a name="l01424"></a>01424 fprintf(stderr,<span class="stringliteral">"END PDomainDifference\n\n"</span>);
<a name="l01425"></a>01425 <span class="preprocessor">#endif</span>
<a name="l01426"></a>01426 <span class="preprocessor"></span> <span class="keywordflow">if</span> (!d1 || <a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(d1) || d1-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>!=0) {
<a name="l01427"></a>01427
<a name="l01428"></a>01428 <span class="preprocessor">#ifdef DEBUGPP5</span>
<a name="l01429"></a>01429 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Empty d1\n"</span>);
<a name="l01430"></a>01430 <span class="preprocessor">#endif</span>
<a name="l01431"></a>01431 <span class="preprocessor"></span> <span class="keywordflow">if</span> (d1)
<a name="l01432"></a>01432 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(d1);
<a name="l01433"></a>01433 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(dx);
<a name="l01434"></a>01434
<a name="l01435"></a>01435 <span class="keywordflow">if</span> (!d2 || <a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(d2) || d2-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>!=0) {
<a name="l01436"></a>01436
<a name="l01437"></a>01437 <span class="preprocessor">#ifdef DEBUGPP5</span>
<a name="l01438"></a>01438 <span class="preprocessor"></span> fprintf( stderr, <span class="stringliteral">"Empty d2 (deleting)\n"</span>);
<a name="l01439"></a>01439 <span class="preprocessor">#endif</span>
<a name="l01440"></a>01440 <span class="preprocessor"></span> <span class="comment">/* dx = p1->Domain = p2->Domain */</span>
<a name="l01441"></a>01441 <span class="keywordflow">if</span> (d2) <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(d2);
<a name="l01442"></a>01442
<a name="l01443"></a>01443 <span class="comment">/* Update p1 */</span>
<a name="l01444"></a>01444 <span class="keywordflow">for</span> (i=0;i<nv;i++)
<a name="l01445"></a>01445 p1-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[i] |= p2-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[i];
<a name="l01446"></a>01446
<a name="l01447"></a>01447 <span class="comment">/* Delete p2 */</span>
<a name="l01448"></a>01448 p2prev-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a> = p2-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a>;
<a name="l01449"></a>01449 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(p2-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>);
<a name="l01450"></a>01450 free(p2-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>);
<a name="l01451"></a>01451 free(p2);
<a name="l01452"></a>01452 p2 = p2prev;
<a name="l01453"></a>01453 }
<a name="l01454"></a>01454 <span class="keywordflow">else</span> { <span class="comment">/* d2 is not empty --> dx==p1->domain */</span>
<a name="l01455"></a>01455
<a name="l01456"></a>01456 <span class="preprocessor">#ifdef DEBUGPP5</span>
<a name="l01457"></a>01457 <span class="preprocessor"></span> fprintf( stderr, <span class="stringliteral">"p2 replaced by d2\n"</span>);
<a name="l01458"></a>01458 <span class="preprocessor">#endif</span>
<a name="l01459"></a>01459 <span class="preprocessor"></span> <span class="comment">/* Update p1 */</span>
<a name="l01460"></a>01460 <span class="keywordflow">for</span>(i=0;i<nv;i++)
<a name="l01461"></a>01461 p1-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[i] |= p2-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[i];
<a name="l01462"></a>01462
<a name="l01463"></a>01463 <span class="comment">/* Replace p2 with d2 */</span>
<a name="l01464"></a>01464 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>( p2-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> );
<a name="l01465"></a>01465 p2-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> = d2;
<a name="l01466"></a>01466 }
<a name="l01467"></a>01467 }
<a name="l01468"></a>01468 <span class="keywordflow">else</span> { <span class="comment">/* d1 is not empty */</span>
<a name="l01469"></a>01469 <span class="keywordflow">if</span> (!d2 || <a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(d2) || d2-><a class="code" href="structpolyhedron.html#f316f6440017b2e02fa3a387b2818cc9">NbEq</a>!=0) {
<a name="l01470"></a>01470
<a name="l01471"></a>01471 <span class="preprocessor">#ifdef DEBUGPP5</span>
<a name="l01472"></a>01472 <span class="preprocessor"></span> fprintf( stderr, <span class="stringliteral">"p1 replaced by d1\n"</span>);
<a name="l01473"></a>01473 <span class="preprocessor">#endif</span>
<a name="l01474"></a>01474 <span class="preprocessor"></span> <span class="keywordflow">if</span> (d2) <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(d2);
<a name="l01475"></a>01475
<a name="l01476"></a>01476 <span class="comment">/* dx = p2->domain */</span>
<a name="l01477"></a>01477 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(dx);
<a name="l01478"></a>01478
<a name="l01479"></a>01479 <span class="comment">/* Update p2 */</span>
<a name="l01480"></a>01480 <span class="keywordflow">for</span>(i=0;i<nv;i++)
<a name="l01481"></a>01481 p2-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[i] |= p1-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[i];
<a name="l01482"></a>01482
<a name="l01483"></a>01483 <span class="comment">/* Replace p1 with d1 */</span>
<a name="l01484"></a>01484 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>);
<a name="l01485"></a>01485 p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> = d1;
<a name="l01486"></a>01486 }
<a name="l01487"></a>01487 <span class="keywordflow">else</span> { <span class="comment">/*d2 is not empty-->d1,d2,dx are distinct */</span>
<a name="l01488"></a>01488
<a name="l01489"></a>01489 <span class="preprocessor">#ifdef DEBUGPP5</span>
<a name="l01490"></a>01490 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Non-empty d1 and d2\nNew node created\n"</span>);
<a name="l01491"></a>01491 <span class="preprocessor">#endif</span>
<a name="l01492"></a>01492 <span class="preprocessor"></span> <span class="comment">/* Create a new node for dx */</span>
<a name="l01493"></a>01493 PDNew = (<a class="code" href="struct__Param__Domain.html">Param_Domain</a> *) malloc( <span class="keyword">sizeof</span>(<a class="code" href="struct__Param__Domain.html">Param_Domain</a>) );
<a name="l01494"></a>01494 PDNew-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a> = (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> *)malloc( nv*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>) );
<a name="l01495"></a>01495 memset(PDNew-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>,0,nv*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));
<a name="l01496"></a>01496 PDNew-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> = dx;
<a name="l01497"></a>01497
<a name="l01498"></a>01498 <span class="keywordflow">for</span> (i=0;i<nv;i++)
<a name="l01499"></a>01499 PDNew-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[i] = p1-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[i] | p2-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>[i];
<a name="l01500"></a>01500
<a name="l01501"></a>01501 <span class="comment">/* Replace p1 with d1 */</span>
<a name="l01502"></a>01502 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>( p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> );
<a name="l01503"></a>01503 p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> = d1;
<a name="l01504"></a>01504
<a name="l01505"></a>01505 <span class="comment">/* Replace p2 with d2 */</span>
<a name="l01506"></a>01506 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>( p2-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> );
<a name="l01507"></a>01507 p2-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> = d2;
<a name="l01508"></a>01508
<a name="l01509"></a>01509 <span class="comment">/* Insert new node after p1 */</span>
<a name="l01510"></a>01510 PDNew-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a> = p1-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a>;
<a name="l01511"></a>01511 p1-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a> = PDNew;
<a name="l01512"></a>01512 }
<a name="l01513"></a>01513 }
<a name="l01514"></a>01514 } <span class="comment">/* end of p2 scan */</span>
<a name="l01515"></a>01515 <span class="keywordflow">if</span> (p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a>) {
<a name="l01516"></a>01516 <a class="code" href="structpolyhedron.html">Polyhedron</a> *C = <a class="code" href="polyhedron_8c.html#53b04dfca9570691fbe42574118215ab">DomainConvex</a>(p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>, working_space);
<a name="l01517"></a>01517 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>);
<a name="l01518"></a>01518 p1-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> = C;
<a name="l01519"></a>01519 }
<a name="l01520"></a>01520 } <span class="comment">/* end of p1 scan */</span>
<a name="l01521"></a>01521 } <span class="comment">/* Compute_PDomains */</span>
<a name="l01522"></a>01522
<a name="l01523"></a>01523 <span class="comment">/* </span>
<a name="l01524"></a>01524 <span class="comment"> * Given a polyhedron 'Din' in combined data and parametre space, a context</span>
<a name="l01525"></a>01525 <span class="comment"> * polyhedron 'Cin' representing the constraints on the parameter space and </span>
<a name="l01526"></a>01526 <span class="comment"> * a working space size 'working_space', return a parametric polyhedron with</span>
<a name="l01527"></a>01527 <span class="comment"> * a list of parametric vertices and their defining domains. </span>
<a name="l01528"></a>01528 <span class="comment"> */</span>
<a name="l01529"></a><a class="code" href="polyparam_8h.html#337084d0cc59e1fda9998c81f8c68919">01529</a> <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *<a class="code" href="polyparam_8c.html#337084d0cc59e1fda9998c81f8c68919">Polyhedron2Param_Vertices</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *Din,<a class="code" href="structpolyhedron.html">Polyhedron</a> *Cin,<span class="keywordtype">int</span> working_space) {
<a name="l01530"></a>01530
<a name="l01531"></a>01531 <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *result;
<a name="l01532"></a>01532
<a name="l01533"></a>01533 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(Din);
<a name="l01534"></a>01534 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(Din);
<a name="l01535"></a>01535 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(Cin);
<a name="l01536"></a>01536 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(Cin);
<a name="l01537"></a>01537
<a name="l01538"></a>01538 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01539"></a>01539 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Polyhedron2Param_Vertices algorithm starting at : %.2fs\n"</span>,
<a name="l01540"></a>01540 (<span class="keywordtype">float</span>)clock()/CLOCKS_PER_SEC);
<a name="l01541"></a>01541 <span class="preprocessor">#endif</span>
<a name="l01542"></a>01542 <span class="preprocessor"></span>
<a name="l01543"></a>01543 <span class="comment">/***************** Scan the m-faces ****************/</span>
<a name="l01544"></a>01544 result = <a class="code" href="polyparam_8c.html#2058929b5ad7772d9e28faae3069bf04">Find_m_faces</a>(&Din,Cin,0,working_space,NULL,NULL);
<a name="l01545"></a>01545
<a name="l01546"></a>01546 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01547"></a>01547 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"nb of points : %d\n"</span>,result-><a class="code" href="struct__Param__Polyhedron.html#baa0a017c7bef81b5ed9f6d2fd3f6f58">nbV</a>);
<a name="l01548"></a>01548 <span class="preprocessor">#endif</span>
<a name="l01549"></a>01549 <span class="preprocessor"></span>
<a name="l01550"></a>01550 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01551"></a>01551 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"end main loop : %.2fs\n"</span>, (<span class="keywordtype">float</span>)clock()/CLOCKS_PER_SEC);
<a name="l01552"></a>01552 <span class="preprocessor">#endif</span>
<a name="l01553"></a>01553 <span class="preprocessor"></span>
<a name="l01554"></a>01554 <span class="keywordflow">return</span>(result);
<a name="l01555"></a>01555 } <span class="comment">/* Polyhedron2Param_Vertices */</span>
<a name="l01556"></a>01556
<a name="l01557"></a>01557 <span class="comment">/*</span>
<a name="l01558"></a>01558 <span class="comment"> * Free the memory allocated to a list of parametrized vertices </span>
<a name="l01559"></a>01559 <span class="comment"> */</span>
<a name="l01560"></a><a class="code" href="polyparam_8h.html#130a2772c56c28b74a5c0ab42717c267">01560</a> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#130a2772c56c28b74a5c0ab42717c267">Param_Vertices_Free</a>(<a class="code" href="struct__Param__Vertex.html">Param_Vertices</a> *PV) {
<a name="l01561"></a>01561
<a name="l01562"></a>01562 <a class="code" href="struct__Param__Vertex.html">Param_Vertices</a> *next_pv;
<a name="l01563"></a>01563
<a name="l01564"></a>01564 <span class="keywordflow">while</span>(PV) {
<a name="l01565"></a>01565 next_pv = PV-><a class="code" href="struct__Param__Vertex.html#1115989a70826c590a1c71923cdeee68">next</a>;
<a name="l01566"></a>01566 <span class="keywordflow">if</span> (PV-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a>) <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(PV-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a>);
<a name="l01567"></a>01567 <span class="keywordflow">if</span> (PV-><a class="code" href="struct__Param__Vertex.html#09d8d34daf37b7cbcff6761b80761f26">Domain</a>) <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(PV-><a class="code" href="struct__Param__Vertex.html#09d8d34daf37b7cbcff6761b80761f26">Domain</a>);
<a name="l01568"></a>01568 <span class="keywordflow">if</span> (PV-><a class="code" href="struct__Param__Vertex.html#f7ff9a4be6a5202a9bcf741a8b233c9e">Facets</a>) free(PV-><a class="code" href="struct__Param__Vertex.html#f7ff9a4be6a5202a9bcf741a8b233c9e">Facets</a>);
<a name="l01569"></a>01569 free(PV);
<a name="l01570"></a>01570 PV = next_pv;
<a name="l01571"></a>01571 }
<a name="l01572"></a>01572 } <span class="comment">/* Param_Vertices_Free */</span>
<a name="l01573"></a>01573
<a name="l01574"></a>01574 <span class="comment">/*</span>
<a name="l01575"></a>01575 <span class="comment"> * Print a list of parametrized vertices *</span>
<a name="l01576"></a>01576 <span class="comment"> */</span>
<a name="l01577"></a><a class="code" href="polyparam_8h.html#ed63fd8f223a4776c442b144edb03fae">01577</a> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#ed63fd8f223a4776c442b144edb03fae">Print_Vertex</a>(FILE *DST, <a class="code" href="structmatrix.html">Matrix</a> *V, <span class="keyword">const</span> <span class="keywordtype">char</span> **param_names)
<a name="l01578"></a>01578 {
<a name="l01579"></a>01579 <span class="keywordtype">int</span> l, v;
<a name="l01580"></a>01580 <span class="keywordtype">int</span> first;
<a name="l01581"></a>01581 Value gcd,tmp;
<a name="l01582"></a>01582
<a name="l01583"></a>01583 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp);
<a name="l01584"></a>01584
<a name="l01585"></a>01585 fprintf(DST, <span class="stringliteral">"["</span> );
<a name="l01586"></a>01586 <span class="keywordflow">for</span>(l=0;l<V-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++l){
<a name="l01587"></a>01587
<a name="l01588"></a>01588 <span class="comment">/* Variables */</span>
<a name="l01589"></a>01589 first=1;
<a name="l01590"></a>01590 fprintf(DST, <span class="stringliteral">" "</span> );
<a name="l01591"></a>01591 <span class="keywordflow">for</span>(v=0;v < V-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>-2;++v) {
<a name="l01592"></a>01592 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][v])) {
<a name="l01593"></a>01593 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][v], V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][V-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>-1]);
<a name="l01594"></a>01594 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(tmp, V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][v], gcd);
<a name="l01595"></a>01595 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#fef45b8b369740e71140484a097b6ab4">value_posz_p</a>(tmp)) {
<a name="l01596"></a>01596 <span class="keywordflow">if</span>(!first)
<a name="l01597"></a>01597 fprintf(DST, <span class="stringliteral">"+"</span>);
<a name="l01598"></a>01598 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(tmp)) {
<a name="l01599"></a>01599 <a class="code" href="source_2arith_2arithmetique_8h.html#d34605b56b571830b928b50a74d618b7">value_print</a>(DST,VALUE_FMT,tmp);
<a name="l01600"></a>01600 }
<a name="l01601"></a>01601 }
<a name="l01602"></a>01602 <span class="keywordflow">else</span> { <span class="comment">/* V->p[l][v]/gcd<0 */</span>
<a name="l01603"></a>01603 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#0a56519397244e2bc48e480bcd2f2a63">value_mone_p</a>(tmp))
<a name="l01604"></a>01604 fprintf(DST, <span class="stringliteral">"-"</span> );
<a name="l01605"></a>01605 <span class="keywordflow">else</span> {
<a name="l01606"></a>01606 <a class="code" href="source_2arith_2arithmetique_8h.html#d34605b56b571830b928b50a74d618b7">value_print</a>(DST,VALUE_FMT,tmp);
<a name="l01607"></a>01607 }
<a name="l01608"></a>01608 }
<a name="l01609"></a>01609 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(tmp, V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][V-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>-1], gcd);
<a name="l01610"></a>01610 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(tmp)) {
<a name="l01611"></a>01611 fprintf(DST, <span class="stringliteral">"%s/"</span>, param_names[v]);
<a name="l01612"></a>01612 <a class="code" href="source_2arith_2arithmetique_8h.html#d34605b56b571830b928b50a74d618b7">value_print</a>(DST,VALUE_FMT,tmp);
<a name="l01613"></a>01613 }
<a name="l01614"></a>01614 <span class="keywordflow">else</span>
<a name="l01615"></a>01615 fprintf(DST, <span class="stringliteral">"%s"</span>, param_names[v]);
<a name="l01616"></a>01616 first=0;
<a name="l01617"></a>01617 }
<a name="l01618"></a>01618 }
<a name="l01619"></a>01619
<a name="l01620"></a>01620 <span class="comment">/* Constant */</span>
<a name="l01621"></a>01621 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][v]) || first) {
<a name="l01622"></a>01622 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#fef45b8b369740e71140484a097b6ab4">value_posz_p</a>(V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][v]) && !first)
<a name="l01623"></a>01623 fprintf(DST,<span class="stringliteral">"+"</span>);
<a name="l01624"></a>01624 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][v], V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][V-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>-1]);
<a name="l01625"></a>01625 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(tmp, V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][v], gcd);
<a name="l01626"></a>01626 <a class="code" href="source_2arith_2arithmetique_8h.html#d34605b56b571830b928b50a74d618b7">value_print</a>(DST,VALUE_FMT,tmp);
<a name="l01627"></a>01627 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(tmp, V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[l][V-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>-1], gcd);
<a name="l01628"></a>01628 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(tmp)) {
<a name="l01629"></a>01629 fprintf(DST,<span class="stringliteral">"/"</span>);
<a name="l01630"></a>01630 <a class="code" href="source_2arith_2arithmetique_8h.html#d34605b56b571830b928b50a74d618b7">value_print</a>(DST,VALUE_FMT,tmp);
<a name="l01631"></a>01631 fprintf(DST,<span class="stringliteral">" "</span>);
<a name="l01632"></a>01632 }
<a name="l01633"></a>01633 }
<a name="l01634"></a>01634 <span class="keywordflow">if</span> (l<V->NbRows-1)
<a name="l01635"></a>01635 fprintf(DST, <span class="stringliteral">", "</span>);
<a name="l01636"></a>01636 }
<a name="l01637"></a>01637 fprintf(DST, <span class="stringliteral">" ]"</span>);
<a name="l01638"></a>01638 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l01639"></a>01639 <span class="keywordflow">return</span>;
<a name="l01640"></a>01640 } <span class="comment">/* Print_Vertex */</span>
<a name="l01641"></a>01641
<a name="l01642"></a>01642 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l01643"></a>01643 <span class="comment">/* VertexCT */</span>
<a name="l01644"></a>01644 <span class="comment">/* convert a paramvertex from reduced space to normal m-space */</span>
<a name="l01645"></a>01645 <span class="comment">/*----------------------------------------------------------------------*/</span>
<a name="l01646"></a><a class="code" href="polyparam_8h.html#6d1dac6dcd959d6489cdd4933f75fc7e">01646</a> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="polyparam_8c.html#6d1dac6dcd959d6489cdd4933f75fc7e">VertexCT</a>(<a class="code" href="structmatrix.html">Matrix</a> *V,<a class="code" href="structmatrix.html">Matrix</a> *CT) {
<a name="l01647"></a>01647
<a name="l01648"></a>01648 <a class="code" href="structmatrix.html">Matrix</a> *Vt;
<a name="l01649"></a>01649 <span class="keywordtype">int</span> i,j,k;
<a name="l01650"></a>01650
<a name="l01651"></a>01651 <span class="keywordflow">if</span>(CT) {
<a name="l01652"></a>01652
<a name="l01653"></a>01653 <span class="comment">/* Have to transform the vertices to original dimension */</span>
<a name="l01654"></a>01654 Vt = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(V-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>,CT-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>+1);
<a name="l01655"></a>01655 <span class="keywordflow">for</span>(i=0;i<V-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++i) {
<a name="l01656"></a>01656 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Vt-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][CT-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>],V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][V-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>-1]);
<a name="l01657"></a>01657 <span class="keywordflow">for</span>(j=0;j<CT-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;j++) {
<a name="l01658"></a>01658 <span class="keywordflow">for</span>(k=0;k<CT-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;k++)
<a name="l01659"></a>01659 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(CT-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][j]))
<a name="l01660"></a>01660 <span class="keywordflow">break</span>;
<a name="l01661"></a>01661 <span class="keywordflow">if</span>(k<CT->NbRows)
<a name="l01662"></a>01662 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Vt-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],V-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][k]);
<a name="l01663"></a>01663 <span class="keywordflow">else</span>
<a name="l01664"></a>01664 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(Vt-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],0);
<a name="l01665"></a>01665 }
<a name="l01666"></a>01666 }
<a name="l01667"></a>01667 <span class="keywordflow">return</span>(Vt);
<a name="l01668"></a>01668 }
<a name="l01669"></a>01669 <span class="keywordflow">else</span>
<a name="l01670"></a>01670 <span class="keywordflow">return</span>(NULL);
<a name="l01671"></a>01671 } <span class="comment">/* VertexCT */</span>
<a name="l01672"></a>01672
<a name="l01673"></a>01673 <span class="comment">/*</span>
<a name="l01674"></a>01674 <span class="comment"> * Print the validity Domain 'D' of a parametric polyhedron </span>
<a name="l01675"></a>01675 <span class="comment"> */</span>
<a name="l01676"></a><a class="code" href="polyparam_8h.html#2576e3e750b8e633de2d6d859b54f029">01676</a> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#fa315bc856959f9a781359f69b74d7a4">Print_Domain</a>(FILE *DST, <a class="code" href="structpolyhedron.html">Polyhedron</a> *D, <span class="keyword">const</span> <span class="keywordtype">char</span> **pname)
<a name="l01677"></a>01677 {
<a name="l01678"></a>01678 <span class="keywordtype">int</span> l, v;
<a name="l01679"></a>01679 <span class="keywordtype">int</span> first;
<a name="l01680"></a>01680
<a name="l01681"></a>01681 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(D);
<a name="l01682"></a>01682 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(D);
<a name="l01683"></a>01683
<a name="l01684"></a>01684 <span class="keywordflow">for</span>(l=0;l<D-><a class="code" href="structpolyhedron.html#2db05293e731089b9198d45cf027bd1c">NbConstraints</a>;++l) {
<a name="l01685"></a>01685 fprintf(DST, <span class="stringliteral">" "</span>);
<a name="l01686"></a>01686 first = 1;
<a name="l01687"></a>01687 <span class="keywordflow">for</span>(v=1;v<=D-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>;++v) {
<a name="l01688"></a>01688 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][v])) {
<a name="l01689"></a>01689 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#61db0ba9ba925615ec70eb92e40b9ef4">value_one_p</a>(D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][v])) {
<a name="l01690"></a>01690 <span class="keywordflow">if</span>(first)
<a name="l01691"></a>01691 fprintf(DST, <span class="stringliteral">"%s "</span>, pname[v-1]);
<a name="l01692"></a>01692 <span class="keywordflow">else</span>
<a name="l01693"></a>01693 fprintf(DST, <span class="stringliteral">"+ %s "</span>, pname[v-1] );
<a name="l01694"></a>01694 }
<a name="l01695"></a>01695 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#0a56519397244e2bc48e480bcd2f2a63">value_mone_p</a>(D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][v]))
<a name="l01696"></a>01696 fprintf(DST, <span class="stringliteral">"- %s "</span>, pname[v-1] );
<a name="l01697"></a>01697 <span class="keywordflow">else</span> {
<a name="l01698"></a>01698 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#01904c8c75c10d407a24c55f16ec27c7">value_pos_p</a>(D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][v]) && !first )
<a name="l01699"></a>01699 fprintf(DST, <span class="stringliteral">"+ "</span> );
<a name="l01700"></a>01700 <a class="code" href="source_2arith_2arithmetique_8h.html#d34605b56b571830b928b50a74d618b7">value_print</a>(DST,VALUE_FMT,D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][v]);
<a name="l01701"></a>01701 fprintf(DST,<span class="stringliteral">"%s "</span>,pname[v-1]);
<a name="l01702"></a>01702 }
<a name="l01703"></a>01703 first = 0;
<a name="l01704"></a>01704 }
<a name="l01705"></a>01705 }
<a name="l01706"></a>01706 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][v])) {
<a name="l01707"></a>01707 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#01904c8c75c10d407a24c55f16ec27c7">value_pos_p</a>(D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][v]) && !first)
<a name="l01708"></a>01708 fprintf(DST,<span class="stringliteral">"+"</span>);
<a name="l01709"></a>01709 fprintf(DST,<span class="stringliteral">" "</span>);
<a name="l01710"></a>01710 <a class="code" href="source_2arith_2arithmetique_8h.html#d34605b56b571830b928b50a74d618b7">value_print</a>(DST,VALUE_FMT,D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][v]);
<a name="l01711"></a>01711 }
<a name="l01712"></a>01712 fprintf(DST,(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(D-><a class="code" href="structpolyhedron.html#b2691b8eb5d2dc43a509ac2094d2bc73">Constraint</a>[l][0])) ?<span class="stringliteral">" >= 0"</span>:<span class="stringliteral">" = 0"</span>);
<a name="l01713"></a>01713 fprintf(DST, <span class="stringliteral">"\n"</span> );
<a name="l01714"></a>01714 }
<a name="l01715"></a>01715 fprintf(DST, <span class="stringliteral">"\n"</span>);
<a name="l01716"></a>01716
<a name="l01717"></a>01717 <span class="keywordflow">if</span>( D-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a> )
<a name="l01718"></a>01718 {
<a name="l01719"></a>01719 fprintf( DST, <span class="stringliteral">"UNION\n"</span> );
<a name="l01720"></a>01720 <a class="code" href="polyparam_8c.html#fa315bc856959f9a781359f69b74d7a4">Print_Domain</a>( DST, D-><a class="code" href="structpolyhedron.html#ab97126cb9e56431d40eaf4e68b3953d">next</a>, pname );
<a name="l01721"></a>01721 }
<a name="l01722"></a>01722 <span class="keywordflow">return</span>;
<a name="l01723"></a>01723 } <span class="comment">/* Print_Domain */</span>
<a name="l01724"></a>01724
<a name="l01725"></a>01725 <span class="comment">/* </span>
<a name="l01726"></a>01726 <span class="comment"> * Given a list of parametrized vertices and an array of parameter names, Print</span>
<a name="l01727"></a>01727 <span class="comment"> * a list of parametrized vertices in a comprehensible format. </span>
<a name="l01728"></a>01728 <span class="comment"> */</span>
<a name="l01729"></a><a class="code" href="polyparam_8h.html#c28d8499be5ff29e4ff8149bbe53c5df">01729</a> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#c28d8499be5ff29e4ff8149bbe53c5df">Param_Vertices_Print</a>(FILE *DST, <a class="code" href="struct__Param__Vertex.html">Param_Vertices</a> *PV, <span class="keyword">const</span> <span class="keywordtype">char</span> **param_names)
<a name="l01730"></a>01730 {
<a name="l01731"></a>01731 <a class="code" href="structpolyhedron.html">Polyhedron</a> *poly;
<a name="l01732"></a>01732
<a name="l01733"></a>01733 <span class="keywordflow">while</span>(PV) {
<a name="l01734"></a>01734 fprintf(DST, <span class="stringliteral">"Vertex :\n"</span> );
<a name="l01735"></a>01735 <a class="code" href="polyparam_8c.html#ed63fd8f223a4776c442b144edb03fae">Print_Vertex</a>(DST,PV-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a>,param_names);
<a name="l01736"></a>01736
<a name="l01737"></a>01737 <span class="comment">/* Pour le domaine : */</span>
<a name="l01738"></a>01738 fprintf(DST, <span class="stringliteral">" If :\n"</span> );
<a name="l01739"></a>01739 poly = <a class="code" href="polyhedron_8c.html#efb77665a187d751bdd44f106b12465e" title="Given a matrix of constraints (&#39;Constraints&#39;), construct and return a polyhedron...">Constraints2Polyhedron</a>(PV-><a class="code" href="struct__Param__Vertex.html#09d8d34daf37b7cbcff6761b80761f26">Domain</a>,200);
<a name="l01740"></a>01740 <a class="code" href="polyparam_8c.html#fa315bc856959f9a781359f69b74d7a4">Print_Domain</a>(DST,poly,param_names);
<a name="l01741"></a>01741 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(poly);
<a name="l01742"></a>01742 PV = PV-><a class="code" href="struct__Param__Vertex.html#1115989a70826c590a1c71923cdeee68">next</a>;
<a name="l01743"></a>01743 }
<a name="l01744"></a>01744 <span class="keywordflow">return</span>;
<a name="l01745"></a>01745 } <span class="comment">/* Param_Vertices_Print */</span>
<a name="l01746"></a>01746
<a name="l01747"></a>01747 <span class="comment">/* </span>
<a name="l01748"></a>01748 <span class="comment"> * Given a polyhedron 'Din' in combined data and parametre space, a context</span>
<a name="l01749"></a>01749 <span class="comment"> * polyhedron 'Cin' representing the constraints on the parameter space and </span>
<a name="l01750"></a>01750 <span class="comment"> * a working space size 'working_space', return a parametric polyhedron with</span>
<a name="l01751"></a>01751 <span class="comment"> * a list of distinct validity domains and a complete list of valid vertices </span>
<a name="l01752"></a>01752 <span class="comment"> * associated to each validity domain. </span>
<a name="l01753"></a>01753 <span class="comment"> */</span>
<a name="l01754"></a><a class="code" href="polyparam_8h.html#57cedd532b6fbd7a8d7549758eabaf94">01754</a> <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *<a class="code" href="polyparam_8c.html#57cedd532b6fbd7a8d7549758eabaf94">Polyhedron2Param_Domain</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> *Din,<a class="code" href="structpolyhedron.html">Polyhedron</a> *Cin,<span class="keywordtype">int</span> working_space) {
<a name="l01755"></a>01755
<a name="l01756"></a>01756 <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *result;
<a name="l01757"></a>01757 <a class="code" href="struct__Param__Domain.html">Param_Domain</a> *D;
<a name="l01758"></a>01758
<a name="l01759"></a>01759 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(Din);
<a name="l01760"></a>01760 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(Din);
<a name="l01761"></a>01761 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(Cin);
<a name="l01762"></a>01762 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(Cin);
<a name="l01763"></a>01763
<a name="l01764"></a>01764 <span class="keywordflow">if</span> (<a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(Din) || <a class="code" href="types_8h.html#156641ae25106f9a6ac5c5c2a624c168">emptyQ</a>(Cin))
<a name="l01765"></a>01765 <span class="keywordflow">return</span> NULL;
<a name="l01766"></a>01766
<a name="l01767"></a>01767 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01768"></a>01768 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Polyhedron2Param_Polyhedron algorithm starting at : %.2fs\n"</span>,
<a name="l01769"></a>01769 (<span class="keywordtype">float</span>)clock()/CLOCKS_PER_SEC);
<a name="l01770"></a>01770 <span class="preprocessor">#endif</span>
<a name="l01771"></a>01771 <span class="preprocessor"></span>
<a name="l01772"></a>01772 <span class="comment">/* Find the m-faces, keeping the corresponding domains */</span>
<a name="l01773"></a>01773 <span class="comment">/* in the linked list PDomains */</span>
<a name="l01774"></a>01774 result = <a class="code" href="polyparam_8c.html#2058929b5ad7772d9e28faae3069bf04">Find_m_faces</a>(&Din,Cin,1,working_space,NULL,NULL);
<a name="l01775"></a>01775
<a name="l01776"></a>01776 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01777"></a>01777 <span class="preprocessor"></span> <span class="keywordflow">if</span>(result) fprintf(stderr, <span class="stringliteral">"Number of vertices : %d\n"</span>,result-><a class="code" href="struct__Param__Polyhedron.html#baa0a017c7bef81b5ed9f6d2fd3f6f58">nbV</a>);
<a name="l01778"></a>01778 fprintf(stderr,<span class="stringliteral">"Vertices found at : %.2fs\n"</span>,(<span class="keywordtype">float</span>)clock()/CLOCKS_PER_SEC);
<a name="l01779"></a>01779 <span class="preprocessor">#endif</span>
<a name="l01780"></a>01780 <span class="preprocessor"></span>
<a name="l01781"></a>01781 <span class="comment">/* Processing of PVResult and PDomains */</span>
<a name="l01782"></a>01782 <span class="keywordflow">if</span>(result && Cin-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>>0) <span class="comment">/* at least 1 parameter */</span>
<a name="l01783"></a>01783 <a class="code" href="polyparam_8c.html#5b103fb2f86581eaaeba2eb3f567c84c">Compute_PDomains</a>(result-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>,result-><a class="code" href="struct__Param__Polyhedron.html#baa0a017c7bef81b5ed9f6d2fd3f6f58">nbV</a>,working_space);
<a name="l01784"></a>01784 <span class="keywordflow">if</span>(result && CEqualities)
<a name="l01785"></a>01785 <span class="keywordflow">for</span>(D=result-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>;D;D=D-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a>)
<a name="l01786"></a>01786 D-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a> = <a class="code" href="polyparam_8c.html#268d6a0bae15f9232bcd138212aa1ea5">Add_CEqualities</a>(D-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>);
<a name="l01787"></a>01787 <a class="code" href="polyhedron_8c.html#4ae97b9794e3a616f1d38c68e6515cc3">Polyhedron_Free</a>(CEqualities);
<a name="l01788"></a>01788
<a name="l01789"></a>01789 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01790"></a>01790 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"domains found at : %.2fs\n"</span>, (<span class="keywordtype">float</span>)clock()/CLOCKS_PER_SEC);
<a name="l01791"></a>01791 <span class="preprocessor">#endif</span>
<a name="l01792"></a>01792 <span class="preprocessor"></span>
<a name="l01793"></a>01793 <span class="keywordflow">return</span>(result);
<a name="l01794"></a>01794 } <span class="comment">/* Polyhedon2Param_Domain */</span>
<a name="l01795"></a>01795
<a name="l01796"></a>01796 <span class="comment">/*</span>
<a name="l01797"></a>01797 <span class="comment"> *</span>
<a name="l01798"></a>01798 <span class="comment"> */</span>
<a name="l01799"></a><a class="code" href="polyparam_8h.html#cc7b93726280a24b37b268e90a2e25ca">01799</a> <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *<a class="code" href="polyparam_8c.html#cc7b93726280a24b37b268e90a2e25ca">Polyhedron2Param_SimplifiedDomain</a>(<a class="code" href="structpolyhedron.html">Polyhedron</a> **Din,<a class="code" href="structpolyhedron.html">Polyhedron</a> *Cin,<span class="keywordtype">int</span> working_space,<a class="code" href="structpolyhedron.html">Polyhedron</a> **CEq,<a class="code" href="structmatrix.html">Matrix</a> **CT) {
<a name="l01800"></a>01800
<a name="l01801"></a>01801 <a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *result;
<a name="l01802"></a>01802
<a name="l01803"></a>01803 <a class="code" href="assert_8h.html#07d17d6d5d1074c0969bc5d3c3d1d84a">assert</a>(CEq != NULL);
<a name="l01804"></a>01804 <a class="code" href="assert_8h.html#07d17d6d5d1074c0969bc5d3c3d1d84a">assert</a>(CT != NULL);
<a name="l01805"></a>01805
<a name="l01806"></a>01806 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(*Din);
<a name="l01807"></a>01807 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(*Din);
<a name="l01808"></a>01808 <a class="code" href="polyhedron_8h.html#729f721c450a034c1219447745c6b123">POL_ENSURE_FACETS</a>(Cin);
<a name="l01809"></a>01809 <a class="code" href="polyhedron_8h.html#317e5eb888f5c14e1229742f31169378">POL_ENSURE_VERTICES</a>(Cin);
<a name="l01810"></a>01810
<a name="l01811"></a>01811 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01812"></a>01812 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Polyhedron2Param_Polyhedron algorithm starting at : %.2fs\n"</span>,
<a name="l01813"></a>01813 (<span class="keywordtype">float</span>)clock()/CLOCKS_PER_SEC);
<a name="l01814"></a>01814 <span class="preprocessor">#endif</span>
<a name="l01815"></a>01815 <span class="preprocessor"></span>
<a name="l01816"></a>01816 <span class="comment">/* Find the m-faces, keeping the corresponding domains */</span>
<a name="l01817"></a>01817 <span class="comment">/* in the linked list PDomains */</span>
<a name="l01818"></a>01818 result = <a class="code" href="polyparam_8c.html#2058929b5ad7772d9e28faae3069bf04">Find_m_faces</a>(Din,Cin,1,working_space,CEq,CT);
<a name="l01819"></a>01819
<a name="l01820"></a>01820 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01821"></a>01821 <span class="preprocessor"></span> <span class="keywordflow">if</span>(result) fprintf(stderr, <span class="stringliteral">"Number of vertices : %d\n"</span>,result-><a class="code" href="struct__Param__Polyhedron.html#baa0a017c7bef81b5ed9f6d2fd3f6f58">nbV</a>);
<a name="l01822"></a>01822 fprintf(stderr,<span class="stringliteral">"Vertices found at : %.2fs\n"</span>,(<span class="keywordtype">float</span>)clock()/CLOCKS_PER_SEC);
<a name="l01823"></a>01823 <span class="preprocessor">#endif</span>
<a name="l01824"></a>01824 <span class="preprocessor"></span>
<a name="l01825"></a>01825 <span class="comment">/* Processing of PVResult and PDomains */</span>
<a name="l01826"></a>01826 <span class="keywordflow">if</span>(result && Cin-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>>0) <span class="comment">/* at least 1 parameter */</span>
<a name="l01827"></a>01827 <a class="code" href="polyparam_8c.html#5b103fb2f86581eaaeba2eb3f567c84c">Compute_PDomains</a>(result-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>,result-><a class="code" href="struct__Param__Polyhedron.html#baa0a017c7bef81b5ed9f6d2fd3f6f58">nbV</a>,working_space);
<a name="l01828"></a>01828
<a name="l01829"></a>01829 <span class="comment">/* Removed this, Vin100, March 01 */</span>
<a name="l01830"></a>01830 <span class="comment">/* if(result && CEqualities )</span>
<a name="l01831"></a>01831 <span class="comment"> for(D=result->D;D;D=D->next)</span>
<a name="l01832"></a>01832 <span class="comment"> D->Domain = Add_CEqualities(D->Domain);</span>
<a name="l01833"></a>01833 <span class="comment"> */</span>
<a name="l01834"></a>01834
<a name="l01835"></a>01835 <span class="preprocessor">#ifdef DEBUGPP</span>
<a name="l01836"></a>01836 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"domains found at : %.2fs\n"</span>, (<span class="keywordtype">float</span>)clock()/CLOCKS_PER_SEC);
<a name="l01837"></a>01837 <span class="preprocessor">#endif</span>
<a name="l01838"></a>01838 <span class="preprocessor"></span>
<a name="l01839"></a>01839 <span class="keywordflow">return</span>(result);
<a name="l01840"></a>01840 } <span class="comment">/* Polyhedron2Param_SimplifiedDomain */</span>
<a name="l01841"></a>01841
<a name="l01842"></a>01842 <span class="comment">/*</span>
<a name="l01843"></a>01843 <span class="comment"> * Free the memory allocated to a list of validity domain of a parametrized </span>
<a name="l01844"></a>01844 <span class="comment"> * polyhedron.</span>
<a name="l01845"></a>01845 <span class="comment"> */</span>
<a name="l01846"></a><a class="code" href="polyparam_8h.html#50f554419ba832936792c06683caac31">01846</a> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#50f554419ba832936792c06683caac31">Param_Domain_Free</a>(<a class="code" href="struct__Param__Domain.html">Param_Domain</a> *PD) {
<a name="l01847"></a>01847
<a name="l01848"></a>01848 <a class="code" href="struct__Param__Domain.html">Param_Domain</a> *next_pd;
<a name="l01849"></a>01849
<a name="l01850"></a>01850 <span class="keywordflow">while</span>(PD) {
<a name="l01851"></a>01851 free(PD-><a class="code" href="struct__Param__Domain.html#c87a60cf654cb9b80ddcac469d6ee81a">F</a>);
<a name="l01852"></a>01852 <a class="code" href="polyhedron_8c.html#e6d0a7daf8e801a777fc8e93d8cfe43a">Domain_Free</a>(PD-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>);
<a name="l01853"></a>01853 next_pd = PD-><a class="code" href="struct__Param__Domain.html#5e0de697b290be8c04aeb01af780c557">next</a>;
<a name="l01854"></a>01854 free(PD);
<a name="l01855"></a>01855 PD = next_pd;
<a name="l01856"></a>01856 }
<a name="l01857"></a>01857 <span class="keywordflow">return</span>;
<a name="l01858"></a>01858 } <span class="comment">/* Param_Domain_Free */</span>
<a name="l01859"></a>01859
<a name="l01860"></a>01860 <span class="comment">/*</span>
<a name="l01861"></a>01861 <span class="comment"> * Free the memory allocated to a parametric polyhedron 'P' </span>
<a name="l01862"></a>01862 <span class="comment"> */</span>
<a name="l01863"></a><a class="code" href="polyparam_8h.html#499deb4842822ae8ae58ed1fdf079c88">01863</a> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#499deb4842822ae8ae58ed1fdf079c88">Param_Polyhedron_Free</a>(<a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *P) {
<a name="l01864"></a>01864
<a name="l01865"></a>01865 <span class="keywordflow">if</span> (!P) <span class="keywordflow">return</span>;
<a name="l01866"></a>01866 <a class="code" href="polyparam_8c.html#130a2772c56c28b74a5c0ab42717c267">Param_Vertices_Free</a>(P-><a class="code" href="struct__Param__Polyhedron.html#183b47f3f8b8c27079a840c934e7b972">V</a>);
<a name="l01867"></a>01867 <a class="code" href="polyparam_8c.html#50f554419ba832936792c06683caac31">Param_Domain_Free</a>(P-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>);
<a name="l01868"></a>01868 <span class="keywordflow">if</span> (P-><a class="code" href="struct__Param__Polyhedron.html#c89157421ffc9312f82b11cb89a05dfe">Constraints</a>)
<a name="l01869"></a>01869 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(P-><a class="code" href="struct__Param__Polyhedron.html#c89157421ffc9312f82b11cb89a05dfe">Constraints</a>);
<a name="l01870"></a>01870 <span class="keywordflow">if</span> (P-><a class="code" href="struct__Param__Polyhedron.html#3daced8ddb352cfa5ed1eeb949f102c5">Rays</a>)
<a name="l01871"></a>01871 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(P-><a class="code" href="struct__Param__Polyhedron.html#3daced8ddb352cfa5ed1eeb949f102c5">Rays</a>);
<a name="l01872"></a>01872 free(P);
<a name="l01873"></a>01873 <span class="keywordflow">return</span>;
<a name="l01874"></a>01874 } <span class="comment">/* Param_Polyhedron_Free */</span>
<a name="l01875"></a>01875
<a name="l01876"></a>01876 <span class="comment">/*</span>
<a name="l01877"></a>01877 <span class="comment"> * Scales the parametric polyhedron such that all vertices are integer.</span>
<a name="l01878"></a>01878 <span class="comment"> */</span>
<a name="l01879"></a><a class="code" href="polyparam_8h.html#5c62eaa235c8e77a994387f27b67ad3f">01879</a> <span class="keywordtype">void</span> <a class="code" href="polyparam_8c.html#5c62eaa235c8e77a994387f27b67ad3f">Param_Polyhedron_Scale_Integer</a>(<a class="code" href="struct__Param__Polyhedron.html">Param_Polyhedron</a> *PP, <a class="code" href="structpolyhedron.html">Polyhedron</a> **P,
<a name="l01880"></a>01880 Value *det, <span class="keywordtype">unsigned</span> MaxRays)
<a name="l01881"></a>01881 {
<a name="l01882"></a>01882 <span class="keywordtype">int</span> i;
<a name="l01883"></a>01883 <span class="keywordtype">int</span> nb_param, nb_vars;
<a name="l01884"></a>01884 <a class="code" href="structVector.html">Vector</a> *denoms;
<a name="l01885"></a>01885 <a class="code" href="struct__Param__Vertex.html">Param_Vertices</a> *V;
<a name="l01886"></a>01886 Value global_var_lcm;
<a name="l01887"></a>01887 <a class="code" href="structmatrix.html">Matrix</a> *expansion;
<a name="l01888"></a>01888
<a name="l01889"></a>01889 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(*det, 1);
<a name="l01890"></a>01890 <span class="keywordflow">if</span> (!PP-><a class="code" href="struct__Param__Polyhedron.html#baa0a017c7bef81b5ed9f6d2fd3f6f58">nbV</a>)
<a name="l01891"></a>01891 <span class="keywordflow">return</span>;
<a name="l01892"></a>01892
<a name="l01893"></a>01893 nb_param = PP-><a class="code" href="struct__Param__Polyhedron.html#23eb52a684bb212c4cf1fbcbd9db066c">D</a>-><a class="code" href="struct__Param__Domain.html#ac7b708b50ebee4352fddebed2eaba7c">Domain</a>-><a class="code" href="structpolyhedron.html#2a02cea8b7ba3dde415041b8b2373bc8">Dimension</a>;
<a name="l01894"></a>01894 nb_vars = PP-><a class="code" href="struct__Param__Polyhedron.html#183b47f3f8b8c27079a840c934e7b972">V</a>-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a>-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l01895"></a>01895
<a name="l01896"></a>01896 <span class="comment">/* Scan the vertices and make an orthogonal expansion of the variable</span>
<a name="l01897"></a>01897 <span class="comment"> space */</span>
<a name="l01898"></a>01898 <span class="comment">/* a- prepare the array of common denominators */</span>
<a name="l01899"></a>01899 denoms = <a class="code" href="vector_8c.html#358c545236f58b1001479e4a69d318aa">Vector_Alloc</a>(nb_vars);
<a name="l01900"></a>01900 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(global_var_lcm);
<a name="l01901"></a>01901
<a name="l01902"></a>01902 <span class="comment">/* b- scan the vertices and compute the variables' global lcms */</span>
<a name="l01903"></a>01903 <span class="keywordflow">for</span> (V = PP-><a class="code" href="struct__Param__Polyhedron.html#183b47f3f8b8c27079a840c934e7b972">V</a>; V; V = V-><a class="code" href="struct__Param__Vertex.html#1115989a70826c590a1c71923cdeee68">next</a>)
<a name="l01904"></a>01904 <span class="keywordflow">for</span> (i = 0; i < nb_vars; i++)
<a name="l01905"></a>01905 <a class="code" href="source_2arith_2arithmetique_8h.html#6da13dbfdd065b7609591ff6b3aee310">value_lcm</a>(denoms-><a class="code" href="structVector.html#ecf9fddd3ad47d143da2e041fdff37cc">p</a>[i], denoms-><a class="code" href="structVector.html#ecf9fddd3ad47d143da2e041fdff37cc">p</a>[i], V-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a>-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][nb_param+1]);
<a name="l01906"></a>01906
<a name="l01907"></a>01907 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(global_var_lcm, 1);
<a name="l01908"></a>01908 <span class="keywordflow">for</span> (i = 0; i < nb_vars; i++) {
<a name="l01909"></a>01909 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(*det, *det, denoms-><a class="code" href="structVector.html#ecf9fddd3ad47d143da2e041fdff37cc">p</a>[i]);
<a name="l01910"></a>01910 <a class="code" href="source_2arith_2arithmetique_8h.html#6da13dbfdd065b7609591ff6b3aee310">value_lcm</a>(global_var_lcm, global_var_lcm, denoms-><a class="code" href="structVector.html#ecf9fddd3ad47d143da2e041fdff37cc">p</a>[i]);
<a name="l01911"></a>01911 }
<a name="l01912"></a>01912
<a name="l01913"></a>01913 <span class="comment">/* scale vertices */</span>
<a name="l01914"></a>01914 <span class="keywordflow">for</span> (V = PP-><a class="code" href="struct__Param__Polyhedron.html#183b47f3f8b8c27079a840c934e7b972">V</a>; V; V = V-><a class="code" href="struct__Param__Vertex.html#1115989a70826c590a1c71923cdeee68">next</a>)
<a name="l01915"></a>01915 <span class="keywordflow">for</span> (i = 0; i < nb_vars; i++) {
<a name="l01916"></a>01916 <a class="code" href="vector_8c.html#14c75456dab7e1b9296fb4ec7b6ad3a5">Vector_Scale</a>(V-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a>-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i], V-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a>-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i], denoms-><a class="code" href="structVector.html#ecf9fddd3ad47d143da2e041fdff37cc">p</a>[i], nb_param+1);
<a name="l01917"></a>01917 <a class="code" href="vector_8c.html#9e3e9df020a7c7b0ad95baffed7ed5c9">Vector_Normalize</a>(V-><a class="code" href="struct__Param__Vertex.html#d61ebc6810df483f7b0e25fea5c6cdf1">Vertex</a>-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i], nb_param+2);
<a name="l01918"></a>01918 }
<a name="l01919"></a>01919
<a name="l01920"></a>01920 <span class="comment">/* the expansion can be actually writen as global_var_lcm.L^{-1} */</span>
<a name="l01921"></a>01921 <span class="comment">/* this is equivalent to multiply the rows of P by denoms_det */</span>
<a name="l01922"></a>01922 <span class="keywordflow">for</span> (i = 0; i < nb_vars; i++)
<a name="l01923"></a>01923 <a class="code" href="source_2arith_2arithmetique_8h.html#c633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(denoms-><a class="code" href="structVector.html#ecf9fddd3ad47d143da2e041fdff37cc">p</a>[i], global_var_lcm, denoms-><a class="code" href="structVector.html#ecf9fddd3ad47d143da2e041fdff37cc">p</a>[i]);
<a name="l01924"></a>01924
<a name="l01925"></a>01925 <span class="comment">/* OPT : we could use a vector instead of a diagonal matrix here (c- and d-).*/</span>
<a name="l01926"></a>01926 <span class="comment">/* c- make the quick expansion matrix */</span>
<a name="l01927"></a>01927 expansion = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nb_vars+nb_param+1, nb_vars+nb_param+1);
<a name="l01928"></a>01928 <span class="keywordflow">for</span> (i = 0; i < nb_vars; i++)
<a name="l01929"></a>01929 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(expansion-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i], denoms-><a class="code" href="structVector.html#ecf9fddd3ad47d143da2e041fdff37cc">p</a>[i]);
<a name="l01930"></a>01930 <span class="keywordflow">for</span> (i = nb_vars; i < nb_vars+nb_param+1; i++)
<a name="l01931"></a>01931 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(expansion-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i], global_var_lcm);
<a name="l01932"></a>01932
<a name="l01933"></a>01933 <span class="comment">/* d- apply the variable expansion to the polyhedron */</span>
<a name="l01934"></a>01934 <span class="keywordflow">if</span> (P)
<a name="l01935"></a>01935 *P = <a class="code" href="polyhedron_8c.html#53d52d5d1befc1d1446e0920556c3d24">Polyhedron_Preimage</a>(*P, expansion, MaxRays);
<a name="l01936"></a>01936
<a name="l01937"></a>01937 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(expansion);
<a name="l01938"></a>01938 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(global_var_lcm);
<a name="l01939"></a>01939 <a class="code" href="vector_8c.html#055608d1a3726b7cb26e3e8074764ba0">Vector_Free</a>(denoms);
<a name="l01940"></a>01940 }
</pre></div></div>
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