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   9 <hr><h1>matrix.c File Reference</h1><code>#include &lt;stdio.h&gt;</code><br>
  10 <code>#include &lt;stdlib.h&gt;</code><br>
  11 <code>#include &lt;string.h&gt;</code><br>
  12 <code>#include &lt;ctype.h&gt;</code><br>
  13 <code>#include &lt;polylib/polylib.h&gt;</code><br>
  14
  15 <p>
  16 <a href="matrix_8c-source.html">Go to the source code of this file.</a><table border=0 cellpadding=0 cellspacing=0>
  17 <tr><td colspan=2><br><h2>Functions</h2></td></tr>
  18 <tr><td nowrap align=right valign=top>Matrix *&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a0">Matrix_Alloc</a> (unsigned NbRows, unsigned NbColumns)</td></tr>
  19 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a1">Matrix_Free</a> (Matrix *Mat)</td></tr>
  20 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a2">Matrix_Print</a> (FILE *Dst, char *Format, Matrix *Mat)</td></tr>
  21 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a3">Matrix_Read_Input</a> (Matrix *Mat)</td></tr>
  22 <tr><td nowrap align=right valign=top>Matrix *&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a4">Matrix_Read</a> (void)</td></tr>
  23 <tr><td nowrap align=right valign=top>int&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a5">hermite</a> (Matrix *H, Matrix *U, Matrix *Q)</td></tr>
  24 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a6">right_hermite</a> (Matrix *A, Matrix **Hp, Matrix **Up, Matrix **Qp)</td></tr>
  25 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a7">left_hermite</a> (Matrix *A, Matrix **Hp, Matrix **Qp, Matrix **Up)</td></tr>
  26 <tr><td nowrap align=right valign=top>int&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a8">MatInverse</a> (Matrix *Mat, Matrix *MatInv)</td></tr>
  27 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a9">rat_prodmat</a> (Matrix *S, Matrix *X, Matrix *P)</td></tr>
  28 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a10">Matrix_Vector_Product</a> (Matrix *Mat, <a class="el" href="arithmetique_8h.html#a93">Value</a> *p1, <a class="el" href="arithmetique_8h.html#a93">Value</a> *p2)</td></tr>
  29 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a11">Vector_Matrix_Product</a> (<a class="el" href="arithmetique_8h.html#a93">Value</a> *p1, Matrix *Mat, <a class="el" href="arithmetique_8h.html#a93">Value</a> *p2)</td></tr>
  30 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a12">Matrix_Product</a> (Matrix *Mat1, Matrix *Mat2, Matrix *Mat3)</td></tr>
  31 <tr><td nowrap align=right valign=top>int&nbsp;</td><td valign=bottom><a class="el" href="matrix_8c.html#a13">Matrix_Inverse</a> (Matrix *Mat, Matrix *MatInv)</td></tr>
  32 </table>
  33 <hr><h2>Function Documentation</h2>
  34 <a name="a5" doxytag="matrix.c::hermite"></a><p>
  35 <table width="100%" cellpadding="2" cellspacing="0" border="0">
  36   <tr>
  37     <td class="md">
  38       <table cellpadding="0" cellspacing="0" border="0">
  39         <tr>
  40           <td class="md" nowrap valign="top"> int hermite </td>
  41           <td class="md" valign="top">(&nbsp;</td>
  42           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
  43           <td class="mdname" nowrap>&nbsp; <em>H</em>, </td>
  44         </tr>
  45         <tr>
  46           <td></td>
  47           <td></td>
  48           <td class="md" nowrap>Matrix *&nbsp;</td>
  49           <td class="mdname" nowrap>&nbsp; <em>U</em>, </td>
  50         </tr>
  51         <tr>
  52           <td></td>
  53           <td></td>
  54           <td class="md" nowrap>Matrix *&nbsp;</td>
  55           <td class="mdname" nowrap>&nbsp; <em>Q</em></td>
  56         </tr>
  57         <tr>
  58           <td></td>
  59           <td class="md">)&nbsp;</td>
  60           <td class="md" colspan="2"><code> [static]</code></td>
  61         </tr>
  62
  63       </table>
  64     </td>
  65   </tr>
  66 </table>
  67 <table cellspacing=5 cellpadding=0 border=0>
  68   <tr>
  69     <td>
  70       &nbsp;
  71     </td>
  72     <td>
  73
  74 <p>
  75
  76 <p>
  77 Definition at line <a class="el" href="matrix_8c-source.html#l00192">192</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
  78 <p>
  79 References <a class="el" href="errormsg_8c-source.html#l00028">errormsg1</a>(), <a class="el" href="matrix_8c-source.html#l00109">Matrix_Print</a>(), <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, <a class="el" href="arithmetique_8h-source.html#l00379">value_absolute</a>, <a class="el" href="arithmetique_8h-source.html#l00367">value_addto</a>, <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>, <a class="el" href="arithmetique_8h-source.html#l00374">value_decrement</a>, <a class="el" href="arithmetique_8h-source.html#l00375">value_division</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, <a class="el" href="arithmetique_8h-source.html#l00341">value_lt</a>, <a class="el" href="arithmetique_8h-source.html#l00376">value_modulus</a>, <a class="el" href="arithmetique_8h-source.html#l00371">value_multiply</a>, <a class="el" href="arithmetique_8h-source.html#l00398">value_neg_p</a>, <a class="el" href="arithmetique_8h-source.html#l00402">value_notzero_p</a>, <a class="el" href="arithmetique_8h-source.html#l00378">value_oppose</a>, <a class="el" href="arithmetique_8h-source.html#l00372">value_substract</a>, <a class="el" href="arithmetique_8h-source.html#l00401">value_zero_p</a>, and <a class="el" href="vector_8c-source.html#l00239">Vector_Exchange</a>().    </td>
  80   </tr>
  81 </table>
  82 <a name="a7" doxytag="matrix.c::left_hermite"></a><p>
  83 <table width="100%" cellpadding="2" cellspacing="0" border="0">
  84   <tr>
  85     <td class="md">
  86       <table cellpadding="0" cellspacing="0" border="0">
  87         <tr>
  88           <td class="md" nowrap valign="top"> void left_hermite </td>
  89           <td class="md" valign="top">(&nbsp;</td>
  90           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
  91           <td class="mdname" nowrap>&nbsp; <em>A</em>, </td>
  92         </tr>
  93         <tr>
  94           <td></td>
  95           <td></td>
  96           <td class="md" nowrap>Matrix **&nbsp;</td>
  97           <td class="mdname" nowrap>&nbsp; <em>Hp</em>, </td>
  98         </tr>
  99         <tr>
 100           <td></td>
 101           <td></td>
 102           <td class="md" nowrap>Matrix **&nbsp;</td>
 103           <td class="mdname" nowrap>&nbsp; <em>Qp</em>, </td>
 104         </tr>
 105         <tr>
 106           <td></td>
 107           <td></td>
 108           <td class="md" nowrap>Matrix **&nbsp;</td>
 109           <td class="mdname" nowrap>&nbsp; <em>Up</em></td>
 110         </tr>
 111         <tr>
 112           <td></td>
 113           <td class="md">)&nbsp;</td>
 114           <td class="md" colspan="2"></td>
 115         </tr>
 116
 117       </table>
 118     </td>
 119   </tr>
 120 </table>
 121 <table cellspacing=5 cellpadding=0 border=0>
 122   <tr>
 123     <td>
 124       &nbsp;
 125     </td>
 126     <td>
 127
 128 <p>
 129
 130 <p>
 131 Definition at line <a class="el" href="matrix_8c-source.html#l00471">471</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 132 <p>
 133 References <a class="el" href="errormsg_8c-source.html#l00028">errormsg1</a>(), <a class="el" href="NormalForms_8c-source.html#l00483">hermite</a>(), <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), <a class="el" href="matrix_8c-source.html#l00085">Matrix_Free</a>(), <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>, and <a class="el" href="vector_8c-source.html#l00223">Vector_Set</a>().
 134 <p>
 135 Referenced by <a class="el" href="polytest_8c-source.html#l00008">main</a>().    </td>
 136   </tr>
 137 </table>
 138 <a name="a8" doxytag="matrix.c::MatInverse"></a><p>
 139 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 140   <tr>
 141     <td class="md">
 142       <table cellpadding="0" cellspacing="0" border="0">
 143         <tr>
 144           <td class="md" nowrap valign="top"> int MatInverse </td>
 145           <td class="md" valign="top">(&nbsp;</td>
 146           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 147           <td class="mdname" nowrap>&nbsp; <em>Mat</em>, </td>
 148         </tr>
 149         <tr>
 150           <td></td>
 151           <td></td>
 152           <td class="md" nowrap>Matrix *&nbsp;</td>
 153           <td class="mdname" nowrap>&nbsp; <em>MatInv</em></td>
 154         </tr>
 155         <tr>
 156           <td></td>
 157           <td class="md">)&nbsp;</td>
 158           <td class="md" colspan="2"></td>
 159         </tr>
 160
 161       </table>
 162     </td>
 163   </tr>
 164 </table>
 165 <table cellspacing=5 cellpadding=0 border=0>
 166   <tr>
 167     <td>
 168       &nbsp;
 169     </td>
 170     <td>
 171
 172 <p>
 173
 174 <p>
 175 Definition at line <a class="el" href="matrix_8c-source.html#l00556">556</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 176 <p>
 177 References <a class="el" href="vector_8c-source.html#l00099">Gcd</a>(), <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>, <a class="el" href="arithmetique_8h-source.html#l00375">value_division</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, <a class="el" href="arithmetique_8h-source.html#l00371">value_multiply</a>, <a class="el" href="arithmetique_8h-source.html#l00404">value_notone_p</a>, <a class="el" href="arithmetique_8h-source.html#l00402">value_notzero_p</a>, <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>, <a class="el" href="arithmetique_8h-source.html#l00372">value_substract</a>, <a class="el" href="arithmetique_8h-source.html#l00401">value_zero_p</a>, <a class="el" href="vector_8c-source.html#l00513">Vector_Gcd</a>(), <a class="el" href="vector_8c-source.html#l00610">Vector_Normalize_Positive</a>(), and <a class="el" href="vector_8c-source.html#l00223">Vector_Set</a>().
 178 <p>
 179 Referenced by <a class="el" href="polyparam_8c-source.html#l00303">traite_m_face</a>().    </td>
 180   </tr>
 181 </table>
 182 <a name="a0" doxytag="matrix.c::Matrix_Alloc"></a><p>
 183 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 184   <tr>
 185     <td class="md">
 186       <table cellpadding="0" cellspacing="0" border="0">
 187         <tr>
 188           <td class="md" nowrap valign="top"> Matrix* Matrix_Alloc </td>
 189           <td class="md" valign="top">(&nbsp;</td>
 190           <td class="md" nowrap valign="top">unsigned&nbsp;</td>
 191           <td class="mdname" nowrap>&nbsp; <em>NbRows</em>, </td>
 192         </tr>
 193         <tr>
 194           <td></td>
 195           <td></td>
 196           <td class="md" nowrap>unsigned&nbsp;</td>
 197           <td class="mdname" nowrap>&nbsp; <em>NbColumns</em></td>
 198         </tr>
 199         <tr>
 200           <td></td>
 201           <td class="md">)&nbsp;</td>
 202           <td class="md" colspan="2"></td>
 203         </tr>
 204
 205       </table>
 206     </td>
 207   </tr>
 208 </table>
 209 <table cellspacing=5 cellpadding=0 border=0>
 210   <tr>
 211     <td>
 212       &nbsp;
 213     </td>
 214     <td>
 215
 216 <p>
 217
 218 <p>
 219 Definition at line <a class="el" href="matrix_8c-source.html#l00028">28</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 220 <p>
 221 References <a class="el" href="errormsg_8c-source.html#l00028">errormsg1</a>(), <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, and <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>.
 222 <p>
 223 Referenced by <a class="el" href="Matop_8c-source.html#l00297">AddANullColumn</a>(), <a class="el" href="Matop_8c-source.html#l00279">AddANullRow</a>(), <a class="el" href="polyhedron_8c-source.html#l02209">AddConstraints</a>(), <a class="el" href="polyhedron_8c-source.html#l02528">AddRays</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00149">AddZPolytoZDomain</a>(), <a class="el" href="Lattice_8c-source.html#l00204">AffineSmith</a>(), <a class="el" href="polyhedron_8c-source.html#l03498">align_context</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00741">CanonicalForm</a>(), <a class="el" href="Lattice_8c-source.html#l00393">ChangeLatticeDimension</a>(), <a class="el" href="polyhedron_8c-source.html#l01919">Constraints2Polyhedron</a>(), <a class="el" href="NormalForms_8c-source.html#l00595">ConvertDarMattoPolMat</a>(), <a class="el" href="polyhedron_8c-source.html#l03109">DomainSimplify</a>(), <a class="el" href="polyparam_8c-source.html#l00848">Elim_Columns</a>(), <a class="el" href="Lattice_8c-source.html#l00078">EmptyLattice</a>(), <a class="el" href="Lattice_8c-source.html#l00423">ExtractLinearPart</a>(), <a class="el" href="polyparam_8c-source.html#l00912">Find_m_faces</a>(), <a class="el" href="Matop_8c-source.html#l00353">findHermiteBasis</a>(), <a class="el" href="Lattice_8c-source.html#l00975">FindHermiteBasisofDomain</a>(), <a class="el" href="polyhedron_8c-source.html#l02753">FindSimple</a>(), <a class="el" href="polyparam_8c-source.html#l00707">GenParamPolyhedron</a>(), <a class="el" href="Matop_8c-source.html#l00024">Identity</a>(), <a class="el" href="Lattice_8c-source.html#l00658">Lattice2LatticeUnion</a>(), <a class="el" href="Lattice_8c-source.html#l01104">LatticeImage</a>(), <a class="el" href="Lattice_8c-source.html#l00459">LatticeIntersection</a>(), <a class="el" href="Lattice_8c-source.html#l01143">LatticePreimage</a>(), <a class="el" href="matrix_8c-source.html#l00471">left_hermite</a>(), <a class="el" href="polytest_8c-source.html#l00008">main</a>(), <a class="el" href="Lattice_8c-source.html#l00553">MakeDioEqforInter</a>(), <a class="el" href="Matop_8c-source.html#l00101">Matrix_Copy</a>(), <a class="el" href="matrix_8c-source.html#l00170">Matrix_Read</a>(), <a class="el" href="polyhedron_8c-source.html#l02015">Polyhedron2Constraints</a>(), <a class="el" href="polyhedron_8c-source.html#l02508">Polyhedron2Rays</a>(), <a class="el" href="polyhedron_8c-source.html#l03838">Polyhedron_Image</a>(), <a class="el" href="polyhedron_8c-source.html#l03733">Polyhedron_Preimage</a>(), <a class="el" href="polyhedron_8c-source.html#l03570">Polyhedron_Scan</a>(), <a class="el" href="alpha_8c-source.html#l00122">PolyhedronLTQ</a>(), <a class="el" href="polyparam_8c-source.html#l00775">PreElim_Columns</a>(), <a class="el" href="polyhedron_8c-source.html#l02036">Rays2Polyhedron</a>(), <a class="el" href="SolveDio_8c-source.html#l00233">RearrangeMatforSolveDio</a>(), <a class="el" href="Matop_8c-source.html#l00332">RemoveColumn</a>(), <a class="el" href="Matop_8c-source.html#l00314">RemoveRow</a>(), <a class="el" href="matrix_8c-source.html#l00401">right_hermite</a>(), <a class="el" href="polyhedron_8c-source.html#l02976">SimplifyConstraints</a>(), <a class="el" href="polyhedron_8c-source.html#l03056">SimplifyEqualities</a>(), <a class="el" href="NormalForms_8c-source.html#l00619">Smith</a>(), <a class="el" href="SolveDio_8c-source.html#l00064">SolveDiophantine</a>(), <a class="el" href="polyhedron_8c-source.html#l03215">Stras_DomainSimplify</a>(), <a class="el" href="polyhedron_8c-source.html#l02388">SubConstraint</a>(), <a class="el" href="polyparam_8c-source.html#l00303">traite_m_face</a>(), <a class="el" href="Matop_8c-source.html#l00086">Transpose</a>(), <a class="el" href="ehrhart__union_8c-source.html#l00008">Union_Read</a>(), and <a class="el" href="polyparam_8c-source.html#l01475">VertexCT</a>().    </td>
 224   </tr>
 225 </table>
 226 <a name="a1" doxytag="matrix.c::Matrix_Free"></a><p>
 227 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 228   <tr>
 229     <td class="md">
 230       <table cellpadding="0" cellspacing="0" border="0">
 231         <tr>
 232           <td class="md" nowrap valign="top"> void Matrix_Free </td>
 233           <td class="md" valign="top">(&nbsp;</td>
 234           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 235           <td class="mdname1" valign="top" nowrap>&nbsp; <em>Mat</em>          </td>
 236           <td class="md" valign="top">)&nbsp;</td>
 237           <td class="md" nowrap></td>
 238         </tr>
 239
 240       </table>
 241     </td>
 242   </tr>
 243 </table>
 244 <table cellspacing=5 cellpadding=0 border=0>
 245   <tr>
 246     <td>
 247       &nbsp;
 248     </td>
 249     <td>
 250
 251 <p>
 252
 253 <p>
 254 Definition at line <a class="el" href="matrix_8c-source.html#l00085">85</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 255 <p>
 256 References <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, and <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>.
 257 <p>
 258 Referenced by <a class="el" href="polyhedron_8c-source.html#l02209">AddConstraints</a>(), <a class="el" href="Lattice_8c-source.html#l00912">AddLattice</a>(), <a class="el" href="polyhedron_8c-source.html#l02528">AddRays</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00149">AddZPolytoZDomain</a>(), <a class="el" href="Lattice_8c-source.html#l00159">AffineHermite</a>(), <a class="el" href="Lattice_8c-source.html#l00204">AffineSmith</a>(), <a class="el" href="polyhedron_8c-source.html#l03498">align_context</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00741">CanonicalForm</a>(), <a class="el" href="polyhedron_8c-source.html#l01919">Constraints2Polyhedron</a>(), <a class="el" href="polyhedron_8c-source.html#l03109">DomainSimplify</a>(), <a class="el" href="polyparam_8c-source.html#l00848">Elim_Columns</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00243">EmptyZPolyhedron</a>(), <a class="el" href="polyparam_8c-source.html#l00912">Find_m_faces</a>(), <a class="el" href="Matop_8c-source.html#l00353">findHermiteBasis</a>(), <a class="el" href="Lattice_8c-source.html#l00975">FindHermiteBasisofDomain</a>(), <a class="el" href="polyhedron_8c-source.html#l02753">FindSimple</a>(), <a class="el" href="NormalForms_8c-source.html#l00695">Hermite</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00832">IntegraliseLattice</a>(), <a class="el" href="Lattice_8c-source.html#l01245">isfulldim</a>(), <a class="el" href="Matop_8c-source.html#l00140">isinHnf</a>(), <a class="el" href="Lattice_8c-source.html#l00658">Lattice2LatticeUnion</a>(), <a class="el" href="Lattice_8c-source.html#l00798">LatticeDifference</a>(), <a class="el" href="Lattice_8c-source.html#l01104">LatticeImage</a>(), <a class="el" href="Lattice_8c-source.html#l00324">LatticeIncludes</a>(), <a class="el" href="Lattice_8c-source.html#l00459">LatticeIntersection</a>(), <a class="el" href="Lattice_8c-source.html#l01143">LatticePreimage</a>(), <a class="el" href="Lattice_8c-source.html#l00027">LatticeUnion_Free</a>(), <a class="el" href="matrix_8c-source.html#l00471">left_hermite</a>(), <a class="el" href="c2p_8c-source.html#l00005">main</a>(), <a class="el" href="polyparam_8c-source.html#l01386">Param_Vertices_Free</a>(), <a class="el" href="polyhedron_8c-source.html#l03838">Polyhedron_Image</a>(), <a class="el" href="polyhedron_8c-source.html#l03733">Polyhedron_Preimage</a>(), <a class="el" href="polyhedron_8c-source.html#l03570">Polyhedron_Scan</a>(), <a class="el" href="alpha_8c-source.html#l00122">PolyhedronLTQ</a>(), <a class="el" href="polyhedron_8c-source.html#l02036">Rays2Polyhedron</a>(), <a class="el" href="SolveDio_8c-source.html#l00233">RearrangeMatforSolveDio</a>(), <a class="el" href="Lattice_8c-source.html#l00355">sameLattice</a>(), <a class="el" href="Lattice_8c-source.html#l01284">Simplify</a>(), <a class="el" href="polyhedron_8c-source.html#l02976">SimplifyConstraints</a>(), <a class="el" href="polyhedron_8c-source.html#l03056">SimplifyEqualities</a>(), <a class="el" href="NormalForms_8c-source.html#l00619">Smith</a>(), <a class="el" href="SolveDio_8c-source.html#l00064">SolveDiophantine</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00949">SplitZpolyhedron</a>(), <a class="el" href="polyhedron_8c-source.html#l03215">Stras_DomainSimplify</a>(), <a class="el" href="polyhedron_8c-source.html#l02388">SubConstraint</a>(), <a class="el" href="ehrhart__union_8c-source.html#l00008">Union_Read</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00084">ZPolyhedron_Free</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00572">ZPolyhedronDifference</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00649">ZPolyhedronImage</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00527">ZPolyhedronIntersection</a>(), and <a class="el" href="Zpolyhedron_8c-source.html#l00699">ZPolyhedronPreimage</a>().    </td>
 259   </tr>
 260 </table>
 261 <a name="a13" doxytag="matrix.c::Matrix_Inverse"></a><p>
 262 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 263   <tr>
 264     <td class="md">
 265       <table cellpadding="0" cellspacing="0" border="0">
 266         <tr>
 267           <td class="md" nowrap valign="top"> int Matrix_Inverse </td>
 268           <td class="md" valign="top">(&nbsp;</td>
 269           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 270           <td class="mdname" nowrap>&nbsp; <em>Mat</em>, </td>
 271         </tr>
 272         <tr>
 273           <td></td>
 274           <td></td>
 275           <td class="md" nowrap>Matrix *&nbsp;</td>
 276           <td class="mdname" nowrap>&nbsp; <em>MatInv</em></td>
 277         </tr>
 278         <tr>
 279           <td></td>
 280           <td class="md">)&nbsp;</td>
 281           <td class="md" colspan="2"></td>
 282         </tr>
 283
 284       </table>
 285     </td>
 286   </tr>
 287 </table>
 288 <table cellspacing=5 cellpadding=0 border=0>
 289   <tr>
 290     <td>
 291       &nbsp;
 292     </td>
 293     <td>
 294
 295 <p>
 296
 297 <p>
 298 Definition at line <a class="el" href="matrix_8c-source.html#l00873">873</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 299 <p>
 300 References <a class="el" href="vector_8c-source.html#l00099">Gcd</a>(), <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>, <a class="el" href="arithmetique_8h-source.html#l00375">value_division</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, <a class="el" href="arithmetique_8h-source.html#l00371">value_multiply</a>, <a class="el" href="arithmetique_8h-source.html#l00398">value_neg_p</a>, <a class="el" href="arithmetique_8h-source.html#l00404">value_notone_p</a>, <a class="el" href="arithmetique_8h-source.html#l00402">value_notzero_p</a>, <a class="el" href="arithmetique_8h-source.html#l00378">value_oppose</a>, <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>, <a class="el" href="arithmetique_8h-source.html#l00372">value_substract</a>, <a class="el" href="arithmetique_8h-source.html#l00401">value_zero_p</a>, <a class="el" href="vector_8c-source.html#l00513">Vector_Gcd</a>(), and <a class="el" href="vector_8c-source.html#l00223">Vector_Set</a>().
 301 <p>
 302 Referenced by <a class="el" href="Lattice_8c-source.html#l00204">AffineSmith</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00741">CanonicalForm</a>(), <a class="el" href="Lattice_8c-source.html#l00975">FindHermiteBasisofDomain</a>(), <a class="el" href="Lattice_8c-source.html#l00658">Lattice2LatticeUnion</a>(), <a class="el" href="Lattice_8c-source.html#l01104">LatticeImage</a>(), <a class="el" href="NormalForms_8c-source.html#l00619">Smith</a>(), and <a class="el" href="SolveDio_8c-source.html#l00064">SolveDiophantine</a>().    </td>
 303   </tr>
 304 </table>
 305 <a name="a2" doxytag="matrix.c::Matrix_Print"></a><p>
 306 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 307   <tr>
 308     <td class="md">
 309       <table cellpadding="0" cellspacing="0" border="0">
 310         <tr>
 311           <td class="md" nowrap valign="top"> void Matrix_Print </td>
 312           <td class="md" valign="top">(&nbsp;</td>
 313           <td class="md" nowrap valign="top">FILE *&nbsp;</td>
 314           <td class="mdname" nowrap>&nbsp; <em>Dst</em>, </td>
 315         </tr>
 316         <tr>
 317           <td></td>
 318           <td></td>
 319           <td class="md" nowrap>char *&nbsp;</td>
 320           <td class="mdname" nowrap>&nbsp; <em>Format</em>, </td>
 321         </tr>
 322         <tr>
 323           <td></td>
 324           <td></td>
 325           <td class="md" nowrap>Matrix *&nbsp;</td>
 326           <td class="mdname" nowrap>&nbsp; <em>Mat</em></td>
 327         </tr>
 328         <tr>
 329           <td></td>
 330           <td class="md">)&nbsp;</td>
 331           <td class="md" colspan="2"></td>
 332         </tr>
 333
 334       </table>
 335     </td>
 336   </tr>
 337 </table>
 338 <table cellspacing=5 cellpadding=0 border=0>
 339   <tr>
 340     <td>
 341       &nbsp;
 342     </td>
 343     <td>
 344
 345 <p>
 346
 347 <p>
 348 Definition at line <a class="el" href="matrix_8c-source.html#l00109">109</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 349 <p>
 350 References <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, and <a class="el" href="arithmetique_8h-source.html#l00324">value_print</a>.
 351 <p>
 352 Referenced by <a class="el" href="polyhedron_8c-source.html#l00340">Chernikova</a>(), <a class="el" href="polyhedron_8c-source.html#l01919">Constraints2Polyhedron</a>(), <a class="el" href="polyparam_8c-source.html#l00848">Elim_Columns</a>(), <a class="el" href="polyparam_8c-source.html#l00912">Find_m_faces</a>(), <a class="el" href="polyhedron_8c-source.html#l00699">Gauss</a>(), <a class="el" href="matrix_8c-source.html#l00192">hermite</a>(), <a class="el" href="c2p_8c-source.html#l00005">main</a>(), <a class="el" href="alpha_8c-source.html#l00122">PolyhedronLTQ</a>(), <a class="el" href="polyparam_8c-source.html#l00775">PreElim_Columns</a>(), <a class="el" href="Lattice_8c-source.html#l00015">PrintLatticeUnion</a>(), <a class="el" href="polyhedron_8c-source.html#l02036">Rays2Polyhedron</a>(), <a class="el" href="polyhedron_8c-source.html#l00824">Remove_Redundants</a>(), <a class="el" href="polyparam_8c-source.html#l00303">traite_m_face</a>(), and <a class="el" href="Zpolyhedron_8c-source.html#l00337">ZPolyhedronPrint</a>().    </td>
 353   </tr>
 354 </table>
 355 <a name="a12" doxytag="matrix.c::Matrix_Product"></a><p>
 356 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 357   <tr>
 358     <td class="md">
 359       <table cellpadding="0" cellspacing="0" border="0">
 360         <tr>
 361           <td class="md" nowrap valign="top"> void Matrix_Product </td>
 362           <td class="md" valign="top">(&nbsp;</td>
 363           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 364           <td class="mdname" nowrap>&nbsp; <em>Mat1</em>, </td>
 365         </tr>
 366         <tr>
 367           <td></td>
 368           <td></td>
 369           <td class="md" nowrap>Matrix *&nbsp;</td>
 370           <td class="mdname" nowrap>&nbsp; <em>Mat2</em>, </td>
 371         </tr>
 372         <tr>
 373           <td></td>
 374           <td></td>
 375           <td class="md" nowrap>Matrix *&nbsp;</td>
 376           <td class="mdname" nowrap>&nbsp; <em>Mat3</em></td>
 377         </tr>
 378         <tr>
 379           <td></td>
 380           <td class="md">)&nbsp;</td>
 381           <td class="md" colspan="2"></td>
 382         </tr>
 383
 384       </table>
 385     </td>
 386   </tr>
 387 </table>
 388 <table cellspacing=5 cellpadding=0 border=0>
 389   <tr>
 390     <td>
 391       &nbsp;
 392     </td>
 393     <td>
 394
 395 <p>
 396
 397 <p>
 398 Definition at line <a class="el" href="matrix_8c-source.html#l00825">825</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 399 <p>
 400 References <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, <a class="el" href="arithmetique_8h-source.html#l00367">value_addto</a>, <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, <a class="el" href="arithmetique_8h-source.html#l00371">value_multiply</a>, and <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>.
 401 <p>
 402 Referenced by <a class="el" href="Zpolyhedron_8c-source.html#l00149">AddZPolytoZDomain</a>(), <a class="el" href="Zpolyhedron_8c-source.html#l00741">CanonicalForm</a>(), <a class="el" href="Lattice_8c-source.html#l00975">FindHermiteBasisofDomain</a>(), <a class="el" href="Lattice_8c-source.html#l00658">Lattice2LatticeUnion</a>(), <a class="el" href="Lattice_8c-source.html#l01104">LatticeImage</a>(), and <a class="el" href="polytest_8c-source.html#l00008">main</a>().    </td>
 403   </tr>
 404 </table>
 405 <a name="a4" doxytag="matrix.c::Matrix_Read"></a><p>
 406 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 407   <tr>
 408     <td class="md">
 409       <table cellpadding="0" cellspacing="0" border="0">
 410         <tr>
 411           <td class="md" nowrap valign="top"> Matrix* Matrix_Read </td>
 412           <td class="md" valign="top">(&nbsp;</td>
 413           <td class="md" nowrap valign="top">void&nbsp;</td>
 414           <td class="mdname1" valign="top" nowrap>&nbsp;          </td>
 415           <td class="md" valign="top">)&nbsp;</td>
 416           <td class="md" nowrap></td>
 417         </tr>
 418
 419       </table>
 420     </td>
 421   </tr>
 422 </table>
 423 <table cellspacing=5 cellpadding=0 border=0>
 424   <tr>
 425     <td>
 426       &nbsp;
 427     </td>
 428     <td>
 429
 430 <p>
 431
 432 <p>
 433 Definition at line <a class="el" href="matrix_8c-source.html#l00170">170</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 434 <p>
 435 References <a class="el" href="errormsg_8c-source.html#l00028">errormsg1</a>(), <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), and <a class="el" href="matrix_8c-source.html#l00133">Matrix_Read_Input</a>().
 436 <p>
 437 Referenced by <a class="el" href="c2p_8c-source.html#l00005">main</a>(), and <a class="el" href="ehrhart__union_8c-source.html#l00008">Union_Read</a>().    </td>
 438   </tr>
 439 </table>
 440 <a name="a3" doxytag="matrix.c::Matrix_Read_Input"></a><p>
 441 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 442   <tr>
 443     <td class="md">
 444       <table cellpadding="0" cellspacing="0" border="0">
 445         <tr>
 446           <td class="md" nowrap valign="top"> void Matrix_Read_Input </td>
 447           <td class="md" valign="top">(&nbsp;</td>
 448           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 449           <td class="mdname1" valign="top" nowrap>&nbsp; <em>Mat</em>          </td>
 450           <td class="md" valign="top">)&nbsp;</td>
 451           <td class="md" nowrap></td>
 452         </tr>
 453
 454       </table>
 455     </td>
 456   </tr>
 457 </table>
 458 <table cellspacing=5 cellpadding=0 border=0>
 459   <tr>
 460     <td>
 461       &nbsp;
 462     </td>
 463     <td>
 464
 465 <p>
 466
 467 <p>
 468 Definition at line <a class="el" href="matrix_8c-source.html#l00133">133</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 469 <p>
 470 References <a class="el" href="errormsg_8c-source.html#l00028">errormsg1</a>(), <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, and <a class="el" href="arithmetique_8h-source.html#l00323">value_read</a>.
 471 <p>
 472 Referenced by <a class="el" href="matrix_8c-source.html#l00170">Matrix_Read</a>(), and <a class="el" href="ehrhart__union_8c-source.html#l00008">Union_Read</a>().    </td>
 473   </tr>
 474 </table>
 475 <a name="a10" doxytag="matrix.c::Matrix_Vector_Product"></a><p>
 476 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 477   <tr>
 478     <td class="md">
 479       <table cellpadding="0" cellspacing="0" border="0">
 480         <tr>
 481           <td class="md" nowrap valign="top"> void Matrix_Vector_Product </td>
 482           <td class="md" valign="top">(&nbsp;</td>
 483           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 484           <td class="mdname" nowrap>&nbsp; <em>Mat</em>, </td>
 485         </tr>
 486         <tr>
 487           <td></td>
 488           <td></td>
 489           <td class="md" nowrap><a class="el" href="arithmetique_8h.html#a93">Value</a> *&nbsp;</td>
 490           <td class="mdname" nowrap>&nbsp; <em>p1</em>, </td>
 491         </tr>
 492         <tr>
 493           <td></td>
 494           <td></td>
 495           <td class="md" nowrap><a class="el" href="arithmetique_8h.html#a93">Value</a> *&nbsp;</td>
 496           <td class="mdname" nowrap>&nbsp; <em>p2</em></td>
 497         </tr>
 498         <tr>
 499           <td></td>
 500           <td class="md">)&nbsp;</td>
 501           <td class="md" colspan="2"></td>
 502         </tr>
 503
 504       </table>
 505     </td>
 506   </tr>
 507 </table>
 508 <table cellspacing=5 cellpadding=0 border=0>
 509   <tr>
 510     <td>
 511       &nbsp;
 512     </td>
 513     <td>
 514
 515 <p>
 516
 517 <p>
 518 Definition at line <a class="el" href="matrix_8c-source.html#l00753">753</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 519 <p>
 520 References <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, <a class="el" href="arithmetique_8h-source.html#l00367">value_addto</a>, <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, <a class="el" href="arithmetique_8h-source.html#l00371">value_multiply</a>, and <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>.    </td>
 521   </tr>
 522 </table>
 523 <a name="a9" doxytag="matrix.c::rat_prodmat"></a><p>
 524 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 525   <tr>
 526     <td class="md">
 527       <table cellpadding="0" cellspacing="0" border="0">
 528         <tr>
 529           <td class="md" nowrap valign="top"> void rat_prodmat </td>
 530           <td class="md" valign="top">(&nbsp;</td>
 531           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 532           <td class="mdname" nowrap>&nbsp; <em>S</em>, </td>
 533         </tr>
 534         <tr>
 535           <td></td>
 536           <td></td>
 537           <td class="md" nowrap>Matrix *&nbsp;</td>
 538           <td class="mdname" nowrap>&nbsp; <em>X</em>, </td>
 539         </tr>
 540         <tr>
 541           <td></td>
 542           <td></td>
 543           <td class="md" nowrap>Matrix *&nbsp;</td>
 544           <td class="mdname" nowrap>&nbsp; <em>P</em></td>
 545         </tr>
 546         <tr>
 547           <td></td>
 548           <td class="md">)&nbsp;</td>
 549           <td class="md" colspan="2"></td>
 550         </tr>
 551
 552       </table>
 553     </td>
 554   </tr>
 555 </table>
 556 <table cellspacing=5 cellpadding=0 border=0>
 557   <tr>
 558     <td>
 559       &nbsp;
 560     </td>
 561     <td>
 562
 563 <p>
 564
 565 <p>
 566 Definition at line <a class="el" href="matrix_8c-source.html#l00684">684</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 567 <p>
 568 References <a class="el" href="vector_8c-source.html#l00099">Gcd</a>(), <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, <a class="el" href="arithmetique_8h-source.html#l00367">value_addto</a>, <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>, <a class="el" href="arithmetique_8h-source.html#l00375">value_division</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, <a class="el" href="arithmetique_8h-source.html#l00371">value_multiply</a>, <a class="el" href="arithmetique_8h-source.html#l00403">value_one_p</a>, <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>, and <a class="el" href="vector_8c-source.html#l00610">Vector_Normalize_Positive</a>().
 569 <p>
 570 Referenced by <a class="el" href="polyparam_8c-source.html#l00303">traite_m_face</a>().    </td>
 571   </tr>
 572 </table>
 573 <a name="a6" doxytag="matrix.c::right_hermite"></a><p>
 574 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 575   <tr>
 576     <td class="md">
 577       <table cellpadding="0" cellspacing="0" border="0">
 578         <tr>
 579           <td class="md" nowrap valign="top"> void right_hermite </td>
 580           <td class="md" valign="top">(&nbsp;</td>
 581           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 582           <td class="mdname" nowrap>&nbsp; <em>A</em>, </td>
 583         </tr>
 584         <tr>
 585           <td></td>
 586           <td></td>
 587           <td class="md" nowrap>Matrix **&nbsp;</td>
 588           <td class="mdname" nowrap>&nbsp; <em>Hp</em>, </td>
 589         </tr>
 590         <tr>
 591           <td></td>
 592           <td></td>
 593           <td class="md" nowrap>Matrix **&nbsp;</td>
 594           <td class="mdname" nowrap>&nbsp; <em>Up</em>, </td>
 595         </tr>
 596         <tr>
 597           <td></td>
 598           <td></td>
 599           <td class="md" nowrap>Matrix **&nbsp;</td>
 600           <td class="mdname" nowrap>&nbsp; <em>Qp</em></td>
 601         </tr>
 602         <tr>
 603           <td></td>
 604           <td class="md">)&nbsp;</td>
 605           <td class="md" colspan="2"></td>
 606         </tr>
 607
 608       </table>
 609     </td>
 610   </tr>
 611 </table>
 612 <table cellspacing=5 cellpadding=0 border=0>
 613   <tr>
 614     <td>
 615       &nbsp;
 616     </td>
 617     <td>
 618
 619 <p>
 620
 621 <p>
 622 Definition at line <a class="el" href="matrix_8c-source.html#l00401">401</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 623 <p>
 624 References <a class="el" href="errormsg_8c-source.html#l00028">errormsg1</a>(), <a class="el" href="NormalForms_8c-source.html#l00483">hermite</a>(), <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>, <a class="el" href="vector_8c-source.html#l00252">Vector_Copy</a>(), and <a class="el" href="vector_8c-source.html#l00223">Vector_Set</a>().
 625 <p>
 626 Referenced by <a class="el" href="polytest_8c-source.html#l00008">main</a>().    </td>
 627   </tr>
 628 </table>
 629 <a name="a11" doxytag="matrix.c::Vector_Matrix_Product"></a><p>
 630 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 631   <tr>
 632     <td class="md">
 633       <table cellpadding="0" cellspacing="0" border="0">
 634         <tr>
 635           <td class="md" nowrap valign="top"> void Vector_Matrix_Product </td>
 636           <td class="md" valign="top">(&nbsp;</td>
 637           <td class="md" nowrap valign="top"><a class="el" href="arithmetique_8h.html#a93">Value</a> *&nbsp;</td>
 638           <td class="mdname" nowrap>&nbsp; <em>p1</em>, </td>
 639         </tr>
 640         <tr>
 641           <td></td>
 642           <td></td>
 643           <td class="md" nowrap>Matrix *&nbsp;</td>
 644           <td class="mdname" nowrap>&nbsp; <em>Mat</em>, </td>
 645         </tr>
 646         <tr>
 647           <td></td>
 648           <td></td>
 649           <td class="md" nowrap><a class="el" href="arithmetique_8h.html#a93">Value</a> *&nbsp;</td>
 650           <td class="mdname" nowrap>&nbsp; <em>p2</em></td>
 651         </tr>
 652         <tr>
 653           <td></td>
 654           <td class="md">)&nbsp;</td>
 655           <td class="md" colspan="2"></td>
 656         </tr>
 657
 658       </table>
 659     </td>
 660   </tr>
 661 </table>
 662 <table cellspacing=5 cellpadding=0 border=0>
 663   <tr>
 664     <td>
 665       &nbsp;
 666     </td>
 667     <td>
 668
 669 <p>
 670
 671 <p>
 672 Definition at line <a class="el" href="matrix_8c-source.html#l00791">791</a> of file <a class="el" href="matrix_8c-source.html">matrix.c</a>.
 673 <p>
 674 References <a class="el" href="arithmetique_8h-source.html#l00229">Value</a>, <a class="el" href="arithmetique_8h-source.html#l00367">value_addto</a>, <a class="el" href="arithmetique_8h-source.html#l00322">value_clear</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, <a class="el" href="arithmetique_8h-source.html#l00371">value_multiply</a>, and <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>.    </td>
 675   </tr>
 676 </table>
 677 <hr><address align="right"><small>Generated on Fri Nov 8 12:10:07 2002 for Polylib by
 678 <a href="http://www.doxygen.org/index.html">
 679 <img src="doxygen.png" alt="doxygen" align="middle" border=0
 680 width=110 height=53></a>1.2.15 </small></address>
 681 </body>
 682 </html>