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   9 <hr><h1>Matop.c File Reference</h1><code>#include &lt;stdlib.h&gt;</code><br>
  10 <code>#include &lt;polylib/polylib.h&gt;</code><br>
  11
  12 <p>
  13 <a href="Matop_8c-source.html">Go to the source code of this file.</a><table border=0 cellpadding=0 cellspacing=0>
  14 <tr><td colspan=2><br><h2>Functions</h2></td></tr>
  15 <tr><td nowrap align=right valign=top><a class="el" href="arithmetique_8h.html#a93">Value</a> *&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a0">Lcm</a> (<a class="el" href="arithmetique_8h.html#a93">Value</a> i, <a class="el" href="arithmetique_8h.html#a93">Value</a> j)</td></tr>
  16 <tr><td nowrap align=right valign=top>Matrix *&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a1">Identity</a> (unsigned size)</td></tr>
  17 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a2">ExchangeRows</a> (Matrix *M, int Row1, int Row2)</td></tr>
  18 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a3">ExchangeColumns</a> (Matrix *M, int Column1, int Column2)</td></tr>
  19 <tr><td nowrap align=right valign=top>Matrix *&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a4">Transpose</a> (Matrix *A)</td></tr>
  20 <tr><td nowrap align=right valign=top>Matrix *&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a5">Matrix_Copy</a> (Matrix *Src)</td></tr>
  21 <tr><td nowrap align=right valign=top>Bool&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a6">isIntegral</a> (Matrix *A)</td></tr>
  22 <tr><td nowrap align=right valign=top>Bool&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a7">isinHnf</a> (Matrix *A)</td></tr>
  23 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a8">PutRowLast</a> (Matrix *X, int Rownumber)</td></tr>
  24 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a9">PutRowFirst</a> (Matrix *X, int Rownumber)</td></tr>
  25 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a10">PutColumnFirst</a> (Matrix *X, int Columnnumber)</td></tr>
  26 <tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a11">PutColumnLast</a> (Matrix *X, int Columnnumber)</td></tr>
  27 <tr><td nowrap align=right valign=top>Matrix *&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a12">AddANullRow</a> (Matrix *M)</td></tr>
  28 <tr><td nowrap align=right valign=top>Matrix *&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a13">AddANullColumn</a> (Matrix *M)</td></tr>
  29 <tr><td nowrap align=right valign=top>Matrix *&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a14">RemoveRow</a> (Matrix *M, int Rownumber)</td></tr>
  30 <tr><td nowrap align=right valign=top>Matrix *&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a15">RemoveColumn</a> (Matrix *M, int Columnnumber)</td></tr>
  31 <tr><td nowrap align=right valign=top>int&nbsp;</td><td valign=bottom><a class="el" href="Matop_8c.html#a16">findHermiteBasis</a> (Matrix *M, Matrix **Result)</td></tr>
  32 </table>
  33 <hr><h2>Function Documentation</h2>
  34 <a name="a13" doxytag="Matop.c::AddANullColumn"></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"> Matrix* AddANullColumn </td>
  41           <td class="md" valign="top">(&nbsp;</td>
  42           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
  43           <td class="mdname1" valign="top" nowrap>&nbsp; <em>M</em>          </td>
  44           <td class="md" valign="top">)&nbsp;</td>
  45           <td class="md" nowrap></td>
  46         </tr>
  47
  48       </table>
  49     </td>
  50   </tr>
  51 </table>
  52 <table cellspacing=5 cellpadding=0 border=0>
  53   <tr>
  54     <td>
  55       &nbsp;
  56     </td>
  57     <td>
  58
  59 <p>
  60
  61 <p>
  62 Definition at line <a class="el" href="Matop_8c-source.html#l00297">297</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
  63 <p>
  64 References <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, and <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>.
  65 <p>
  66 Referenced by <a class="el" href="Matop_8c-source.html#l00353">findHermiteBasis</a>().    </td>
  67   </tr>
  68 </table>
  69 <a name="a12" doxytag="Matop.c::AddANullRow"></a><p>
  70 <table width="100%" cellpadding="2" cellspacing="0" border="0">
  71   <tr>
  72     <td class="md">
  73       <table cellpadding="0" cellspacing="0" border="0">
  74         <tr>
  75           <td class="md" nowrap valign="top"> Matrix* AddANullRow </td>
  76           <td class="md" valign="top">(&nbsp;</td>
  77           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
  78           <td class="mdname1" valign="top" nowrap>&nbsp; <em>M</em>          </td>
  79           <td class="md" valign="top">)&nbsp;</td>
  80           <td class="md" nowrap></td>
  81         </tr>
  82
  83       </table>
  84     </td>
  85   </tr>
  86 </table>
  87 <table cellspacing=5 cellpadding=0 border=0>
  88   <tr>
  89     <td>
  90       &nbsp;
  91     </td>
  92     <td>
  93
  94 <p>
  95
  96 <p>
  97 Definition at line <a class="el" href="Matop_8c-source.html#l00279">279</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
  98 <p>
  99 References <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, and <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>.
 100 <p>
 101 Referenced by <a class="el" href="Matop_8c-source.html#l00353">findHermiteBasis</a>(), and <a class="el" href="SolveDio_8c-source.html#l00233">RearrangeMatforSolveDio</a>().    </td>
 102   </tr>
 103 </table>
 104 <a name="a3" doxytag="Matop.c::ExchangeColumns"></a><p>
 105 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 106   <tr>
 107     <td class="md">
 108       <table cellpadding="0" cellspacing="0" border="0">
 109         <tr>
 110           <td class="md" nowrap valign="top"> void ExchangeColumns </td>
 111           <td class="md" valign="top">(&nbsp;</td>
 112           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 113           <td class="mdname" nowrap>&nbsp; <em>M</em>, </td>
 114         </tr>
 115         <tr>
 116           <td></td>
 117           <td></td>
 118           <td class="md" nowrap>int&nbsp;</td>
 119           <td class="mdname" nowrap>&nbsp; <em>Column1</em>, </td>
 120         </tr>
 121         <tr>
 122           <td></td>
 123           <td></td>
 124           <td class="md" nowrap>int&nbsp;</td>
 125           <td class="mdname" nowrap>&nbsp; <em>Column2</em></td>
 126         </tr>
 127         <tr>
 128           <td></td>
 129           <td class="md">)&nbsp;</td>
 130           <td class="md" colspan="2"></td>
 131         </tr>
 132
 133       </table>
 134     </td>
 135   </tr>
 136 </table>
 137 <table cellspacing=5 cellpadding=0 border=0>
 138   <tr>
 139     <td>
 140       &nbsp;
 141     </td>
 142     <td>
 143
 144 <p>
 145
 146 <p>
 147 Definition at line <a class="el" href="Matop_8c-source.html#l00064">64</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 148 <p>
 149 References <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>, and <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>.    </td>
 150   </tr>
 151 </table>
 152 <a name="a2" doxytag="Matop.c::ExchangeRows"></a><p>
 153 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 154   <tr>
 155     <td class="md">
 156       <table cellpadding="0" cellspacing="0" border="0">
 157         <tr>
 158           <td class="md" nowrap valign="top"> void ExchangeRows </td>
 159           <td class="md" valign="top">(&nbsp;</td>
 160           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 161           <td class="mdname" nowrap>&nbsp; <em>M</em>, </td>
 162         </tr>
 163         <tr>
 164           <td></td>
 165           <td></td>
 166           <td class="md" nowrap>int&nbsp;</td>
 167           <td class="mdname" nowrap>&nbsp; <em>Row1</em>, </td>
 168         </tr>
 169         <tr>
 170           <td></td>
 171           <td></td>
 172           <td class="md" nowrap>int&nbsp;</td>
 173           <td class="mdname" nowrap>&nbsp; <em>Row2</em></td>
 174         </tr>
 175         <tr>
 176           <td></td>
 177           <td class="md">)&nbsp;</td>
 178           <td class="md" colspan="2"></td>
 179         </tr>
 180
 181       </table>
 182     </td>
 183   </tr>
 184 </table>
 185 <table cellspacing=5 cellpadding=0 border=0>
 186   <tr>
 187     <td>
 188       &nbsp;
 189     </td>
 190     <td>
 191
 192 <p>
 193
 194 <p>
 195 Definition at line <a class="el" href="Matop_8c-source.html#l00041">41</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 196 <p>
 197 References <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>, and <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>.
 198 <p>
 199 Referenced by <a class="el" href="SolveDio_8c-source.html#l00233">RearrangeMatforSolveDio</a>().    </td>
 200   </tr>
 201 </table>
 202 <a name="a16" doxytag="Matop.c::findHermiteBasis"></a><p>
 203 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 204   <tr>
 205     <td class="md">
 206       <table cellpadding="0" cellspacing="0" border="0">
 207         <tr>
 208           <td class="md" nowrap valign="top"> int findHermiteBasis </td>
 209           <td class="md" valign="top">(&nbsp;</td>
 210           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 211           <td class="mdname" nowrap>&nbsp; <em>M</em>, </td>
 212         </tr>
 213         <tr>
 214           <td></td>
 215           <td></td>
 216           <td class="md" nowrap>Matrix **&nbsp;</td>
 217           <td class="mdname" nowrap>&nbsp; <em>Result</em></td>
 218         </tr>
 219         <tr>
 220           <td></td>
 221           <td class="md">)&nbsp;</td>
 222           <td class="md" colspan="2"></td>
 223         </tr>
 224
 225       </table>
 226     </td>
 227   </tr>
 228 </table>
 229 <table cellspacing=5 cellpadding=0 border=0>
 230   <tr>
 231     <td>
 232       &nbsp;
 233     </td>
 234     <td>
 235
 236 <p>
 237
 238 <p>
 239 Definition at line <a class="el" href="Matop_8c-source.html#l00353">353</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 240 <p>
 241 References <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="NormalForms_8c-source.html#l00695">Hermite</a>(), <a class="el" href="Matop_8c-source.html#l00024">Identity</a>(), <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), <a class="el" href="Matop_8c-source.html#l00101">Matrix_Copy</a>(), <a class="el" href="matrix_8c-source.html#l00085">Matrix_Free</a>(), <a class="el" href="Matop_8c-source.html#l00314">RemoveRow</a>(), <a class="el" href="SolveDio_8c-source.html#l00064">SolveDiophantine</a>(), <a class="el" href="Matop_8c-source.html#l00086">Transpose</a>(), <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>, <a class="el" href="arithmetique_8h-source.html#l00402">value_notzero_p</a>, <a class="el" href="arithmetique_8h-source.html#l00401">value_zero_p</a>, and <a class="el" href="vector_8c-source.html#l00162">Vector_Free</a>().
 242 <p>
 243 Referenced by <a class="el" href="Lattice_8c-source.html#l00975">FindHermiteBasisofDomain</a>().    </td>
 244   </tr>
 245 </table>
 246 <a name="a1" doxytag="Matop.c::Identity"></a><p>
 247 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 248   <tr>
 249     <td class="md">
 250       <table cellpadding="0" cellspacing="0" border="0">
 251         <tr>
 252           <td class="md" nowrap valign="top"> Matrix* Identity </td>
 253           <td class="md" valign="top">(&nbsp;</td>
 254           <td class="md" nowrap valign="top">unsigned&nbsp;</td>
 255           <td class="mdname1" valign="top" nowrap>&nbsp; <em>size</em>          </td>
 256           <td class="md" valign="top">)&nbsp;</td>
 257           <td class="md" nowrap></td>
 258         </tr>
 259
 260       </table>
 261     </td>
 262   </tr>
 263 </table>
 264 <table cellspacing=5 cellpadding=0 border=0>
 265   <tr>
 266     <td>
 267       &nbsp;
 268     </td>
 269     <td>
 270
 271 <p>
 272
 273 <p>
 274 Definition at line <a class="el" href="Matop_8c-source.html#l00024">24</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 275 <p>
 276 References <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), and <a class="el" href="arithmetique_8h-source.html#l00320">value_set_si</a>.
 277 <p>
 278 Referenced by <a class="el" href="Zpolyhedron_8c-source.html#l00741">CanonicalForm</a>(), <a class="el" href="Matop_8c-source.html#l00353">findHermiteBasis</a>(), <a class="el" href="Lattice_8c-source.html#l00975">FindHermiteBasisofDomain</a>(), and <a class="el" href="Zpolyhedron_8c-source.html#l00832">IntegraliseLattice</a>().    </td>
 279   </tr>
 280 </table>
 281 <a name="a7" doxytag="Matop.c::isinHnf"></a><p>
 282 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 283   <tr>
 284     <td class="md">
 285       <table cellpadding="0" cellspacing="0" border="0">
 286         <tr>
 287           <td class="md" nowrap valign="top"> Bool isinHnf </td>
 288           <td class="md" valign="top">(&nbsp;</td>
 289           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 290           <td class="mdname1" valign="top" nowrap>&nbsp; <em>A</em>          </td>
 291           <td class="md" valign="top">)&nbsp;</td>
 292           <td class="md" nowrap></td>
 293         </tr>
 294
 295       </table>
 296     </td>
 297   </tr>
 298 </table>
 299 <table cellspacing=5 cellpadding=0 border=0>
 300   <tr>
 301     <td>
 302       &nbsp;
 303     </td>
 304     <td>
 305
 306 <p>
 307
 308 <p>
 309 Definition at line <a class="el" href="Matop_8c-source.html#l00140">140</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 310 <p>
 311 References <a class="el" href="Lattice_8c-source.html#l00296">Homogenise</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#l00340">value_ge</a>, <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>, and <a class="el" href="arithmetique_8h-source.html#l00402">value_notzero_p</a>.
 312 <p>
 313 Referenced by <a class="el" href="Lattice_8c-source.html#l00798">LatticeDifference</a>(), <a class="el" href="Lattice_8c-source.html#l00459">LatticeIntersection</a>(), and <a class="el" href="Zpolyhedron_8c-source.html#l00949">SplitZpolyhedron</a>().    </td>
 314   </tr>
 315 </table>
 316 <a name="a6" doxytag="Matop.c::isIntegral"></a><p>
 317 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 318   <tr>
 319     <td class="md">
 320       <table cellpadding="0" cellspacing="0" border="0">
 321         <tr>
 322           <td class="md" nowrap valign="top"> Bool isIntegral </td>
 323           <td class="md" valign="top">(&nbsp;</td>
 324           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 325           <td class="mdname1" valign="top" nowrap>&nbsp; <em>A</em>          </td>
 326           <td class="md" valign="top">)&nbsp;</td>
 327           <td class="md" nowrap></td>
 328         </tr>
 329
 330       </table>
 331     </td>
 332   </tr>
 333 </table>
 334 <table cellspacing=5 cellpadding=0 border=0>
 335   <tr>
 336     <td>
 337       &nbsp;
 338     </td>
 339     <td>
 340
 341 <p>
 342
 343 <p>
 344 Definition at line <a class="el" href="Matop_8c-source.html#l00117">117</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 345 <p>
 346 References <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#l00376">value_modulus</a>, and <a class="el" href="arithmetique_8h-source.html#l00402">value_notzero_p</a>.    </td>
 347   </tr>
 348 </table>
 349 <a name="a0" doxytag="Matop.c::Lcm"></a><p>
 350 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 351   <tr>
 352     <td class="md">
 353       <table cellpadding="0" cellspacing="0" border="0">
 354         <tr>
 355           <td class="md" nowrap valign="top"> <a class="el" href="arithmetique_8h.html#a93">Value</a>* Lcm </td>
 356           <td class="md" valign="top">(&nbsp;</td>
 357           <td class="md" nowrap valign="top"><a class="el" href="arithmetique_8h.html#a93">Value</a>&nbsp;</td>
 358           <td class="mdname" nowrap>&nbsp; <em>i</em>, </td>
 359         </tr>
 360         <tr>
 361           <td></td>
 362           <td></td>
 363           <td class="md" nowrap><a class="el" href="arithmetique_8h.html#a93">Value</a>&nbsp;</td>
 364           <td class="mdname" nowrap>&nbsp; <em>j</em></td>
 365         </tr>
 366         <tr>
 367           <td></td>
 368           <td class="md">)&nbsp;</td>
 369           <td class="md" colspan="2"></td>
 370         </tr>
 371
 372       </table>
 373     </td>
 374   </tr>
 375 </table>
 376 <table cellspacing=5 cellpadding=0 border=0>
 377   <tr>
 378     <td>
 379       &nbsp;
 380     </td>
 381     <td>
 382
 383 <p>
 384
 385 <p>
 386 Definition at line <a class="el" href="Matop_8c-source.html#l00007">7</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 387 <p>
 388 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#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>, and <a class="el" href="arithmetique_8h-source.html#l00371">value_multiply</a>.
 389 <p>
 390 Referenced by <a class="el" href="Lattice_8c-source.html#l00975">FindHermiteBasisofDomain</a>().    </td>
 391   </tr>
 392 </table>
 393 <a name="a5" doxytag="Matop.c::Matrix_Copy"></a><p>
 394 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 395   <tr>
 396     <td class="md">
 397       <table cellpadding="0" cellspacing="0" border="0">
 398         <tr>
 399           <td class="md" nowrap valign="top"> Matrix* Matrix_Copy </td>
 400           <td class="md" valign="top">(&nbsp;</td>
 401           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 402           <td class="mdname1" valign="top" nowrap>&nbsp; <em>Src</em>          </td>
 403           <td class="md" valign="top">)&nbsp;</td>
 404           <td class="md" nowrap></td>
 405         </tr>
 406
 407       </table>
 408     </td>
 409   </tr>
 410 </table>
 411 <table cellspacing=5 cellpadding=0 border=0>
 412   <tr>
 413     <td>
 414       &nbsp;
 415     </td>
 416     <td>
 417
 418 <p>
 419
 420 <p>
 421 Definition at line <a class="el" href="Matop_8c-source.html#l00101">101</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 422 <p>
 423 References <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), and <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>.
 424 <p>
 425 Referenced by <a class="el" href="Lattice_8c-source.html#l00912">AddLattice</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="Zpolyhedron_8c-source.html#l00741">CanonicalForm</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="NormalForms_8c-source.html#l00695">Hermite</a>(), <a class="el" href="Lattice_8c-source.html#l00296">Homogenise</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#l00459">LatticeIntersection</a>(), <a class="el" href="Zpolytest_8c-source.html#l00010">main</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="Lattice_8c-source.html#l01284">Simplify</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="Zpolyhedron_8c-source.html#l00865">ZDomainSimplify</a>(), and <a class="el" href="Zpolyhedron_8c-source.html#l00037">ZPolyhedron_Alloc</a>().    </td>
 426   </tr>
 427 </table>
 428 <a name="a10" doxytag="Matop.c::PutColumnFirst"></a><p>
 429 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 430   <tr>
 431     <td class="md">
 432       <table cellpadding="0" cellspacing="0" border="0">
 433         <tr>
 434           <td class="md" nowrap valign="top"> void PutColumnFirst </td>
 435           <td class="md" valign="top">(&nbsp;</td>
 436           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 437           <td class="mdname" nowrap>&nbsp; <em>X</em>, </td>
 438         </tr>
 439         <tr>
 440           <td></td>
 441           <td></td>
 442           <td class="md" nowrap>int&nbsp;</td>
 443           <td class="mdname" nowrap>&nbsp; <em>Columnnumber</em></td>
 444         </tr>
 445         <tr>
 446           <td></td>
 447           <td class="md">)&nbsp;</td>
 448           <td class="md" colspan="2"></td>
 449         </tr>
 450
 451       </table>
 452     </td>
 453   </tr>
 454 </table>
 455 <table cellspacing=5 cellpadding=0 border=0>
 456   <tr>
 457     <td>
 458       &nbsp;
 459     </td>
 460     <td>
 461
 462 <p>
 463
 464 <p>
 465 Definition at line <a class="el" href="Matop_8c-source.html#l00225">225</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 466 <p>
 467 References <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>, and <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>.
 468 <p>
 469 Referenced by <a class="el" href="Lattice_8c-source.html#l00296">Homogenise</a>().    </td>
 470   </tr>
 471 </table>
 472 <a name="a11" doxytag="Matop.c::PutColumnLast"></a><p>
 473 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 474   <tr>
 475     <td class="md">
 476       <table cellpadding="0" cellspacing="0" border="0">
 477         <tr>
 478           <td class="md" nowrap valign="top"> void PutColumnLast </td>
 479           <td class="md" valign="top">(&nbsp;</td>
 480           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 481           <td class="mdname" nowrap>&nbsp; <em>X</em>, </td>
 482         </tr>
 483         <tr>
 484           <td></td>
 485           <td></td>
 486           <td class="md" nowrap>int&nbsp;</td>
 487           <td class="mdname" nowrap>&nbsp; <em>Columnnumber</em></td>
 488         </tr>
 489         <tr>
 490           <td></td>
 491           <td class="md">)&nbsp;</td>
 492           <td class="md" colspan="2"></td>
 493         </tr>
 494
 495       </table>
 496     </td>
 497   </tr>
 498 </table>
 499 <table cellspacing=5 cellpadding=0 border=0>
 500   <tr>
 501     <td>
 502       &nbsp;
 503     </td>
 504     <td>
 505
 506 <p>
 507
 508 <p>
 509 Definition at line <a class="el" href="Matop_8c-source.html#l00252">252</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 510 <p>
 511 References <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>, and <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>.
 512 <p>
 513 Referenced by <a class="el" href="Lattice_8c-source.html#l00296">Homogenise</a>(), and <a class="el" href="Matop_8c-source.html#l00332">RemoveColumn</a>().    </td>
 514   </tr>
 515 </table>
 516 <a name="a9" doxytag="Matop.c::PutRowFirst"></a><p>
 517 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 518   <tr>
 519     <td class="md">
 520       <table cellpadding="0" cellspacing="0" border="0">
 521         <tr>
 522           <td class="md" nowrap valign="top"> void PutRowFirst </td>
 523           <td class="md" valign="top">(&nbsp;</td>
 524           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 525           <td class="mdname" nowrap>&nbsp; <em>X</em>, </td>
 526         </tr>
 527         <tr>
 528           <td></td>
 529           <td></td>
 530           <td class="md" nowrap>int&nbsp;</td>
 531           <td class="mdname" nowrap>&nbsp; <em>Rownumber</em></td>
 532         </tr>
 533         <tr>
 534           <td></td>
 535           <td class="md">)&nbsp;</td>
 536           <td class="md" colspan="2"></td>
 537         </tr>
 538
 539       </table>
 540     </td>
 541   </tr>
 542 </table>
 543 <table cellspacing=5 cellpadding=0 border=0>
 544   <tr>
 545     <td>
 546       &nbsp;
 547     </td>
 548     <td>
 549
 550 <p>
 551
 552 <p>
 553 Definition at line <a class="el" href="Matop_8c-source.html#l00198">198</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 554 <p>
 555 References <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>, and <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>.
 556 <p>
 557 Referenced by <a class="el" href="Lattice_8c-source.html#l00296">Homogenise</a>().    </td>
 558   </tr>
 559 </table>
 560 <a name="a8" doxytag="Matop.c::PutRowLast"></a><p>
 561 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 562   <tr>
 563     <td class="md">
 564       <table cellpadding="0" cellspacing="0" border="0">
 565         <tr>
 566           <td class="md" nowrap valign="top"> void PutRowLast </td>
 567           <td class="md" valign="top">(&nbsp;</td>
 568           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 569           <td class="mdname" nowrap>&nbsp; <em>X</em>, </td>
 570         </tr>
 571         <tr>
 572           <td></td>
 573           <td></td>
 574           <td class="md" nowrap>int&nbsp;</td>
 575           <td class="mdname" nowrap>&nbsp; <em>Rownumber</em></td>
 576         </tr>
 577         <tr>
 578           <td></td>
 579           <td class="md">)&nbsp;</td>
 580           <td class="md" colspan="2"></td>
 581         </tr>
 582
 583       </table>
 584     </td>
 585   </tr>
 586 </table>
 587 <table cellspacing=5 cellpadding=0 border=0>
 588   <tr>
 589     <td>
 590       &nbsp;
 591     </td>
 592     <td>
 593
 594 <p>
 595
 596 <p>
 597 Definition at line <a class="el" href="Matop_8c-source.html#l00170">170</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 598 <p>
 599 References <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>, and <a class="el" href="arithmetique_8h-source.html#l00318">value_init</a>.
 600 <p>
 601 Referenced by <a class="el" href="Lattice_8c-source.html#l00296">Homogenise</a>(), and <a class="el" href="Matop_8c-source.html#l00314">RemoveRow</a>().    </td>
 602   </tr>
 603 </table>
 604 <a name="a15" doxytag="Matop.c::RemoveColumn"></a><p>
 605 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 606   <tr>
 607     <td class="md">
 608       <table cellpadding="0" cellspacing="0" border="0">
 609         <tr>
 610           <td class="md" nowrap valign="top"> Matrix* RemoveColumn </td>
 611           <td class="md" valign="top">(&nbsp;</td>
 612           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 613           <td class="mdname" nowrap>&nbsp; <em>M</em>, </td>
 614         </tr>
 615         <tr>
 616           <td></td>
 617           <td></td>
 618           <td class="md" nowrap>int&nbsp;</td>
 619           <td class="mdname" nowrap>&nbsp; <em>Columnnumber</em></td>
 620         </tr>
 621         <tr>
 622           <td></td>
 623           <td class="md">)&nbsp;</td>
 624           <td class="md" colspan="2"></td>
 625         </tr>
 626
 627       </table>
 628     </td>
 629   </tr>
 630 </table>
 631 <table cellspacing=5 cellpadding=0 border=0>
 632   <tr>
 633     <td>
 634       &nbsp;
 635     </td>
 636     <td>
 637
 638 <p>
 639
 640 <p>
 641 Definition at line <a class="el" href="Matop_8c-source.html#l00332">332</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 642 <p>
 643 References <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), <a class="el" href="Matop_8c-source.html#l00101">Matrix_Copy</a>(), <a class="el" href="Matop_8c-source.html#l00252">PutColumnLast</a>(), and <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>.
 644 <p>
 645 Referenced by <a class="el" href="Lattice_8c-source.html#l00975">FindHermiteBasisofDomain</a>().    </td>
 646   </tr>
 647 </table>
 648 <a name="a14" doxytag="Matop.c::RemoveRow"></a><p>
 649 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 650   <tr>
 651     <td class="md">
 652       <table cellpadding="0" cellspacing="0" border="0">
 653         <tr>
 654           <td class="md" nowrap valign="top"> Matrix* RemoveRow </td>
 655           <td class="md" valign="top">(&nbsp;</td>
 656           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 657           <td class="mdname" nowrap>&nbsp; <em>M</em>, </td>
 658         </tr>
 659         <tr>
 660           <td></td>
 661           <td></td>
 662           <td class="md" nowrap>int&nbsp;</td>
 663           <td class="mdname" nowrap>&nbsp; <em>Rownumber</em></td>
 664         </tr>
 665         <tr>
 666           <td></td>
 667           <td class="md">)&nbsp;</td>
 668           <td class="md" colspan="2"></td>
 669         </tr>
 670
 671       </table>
 672     </td>
 673   </tr>
 674 </table>
 675 <table cellspacing=5 cellpadding=0 border=0>
 676   <tr>
 677     <td>
 678       &nbsp;
 679     </td>
 680     <td>
 681
 682 <p>
 683
 684 <p>
 685 Definition at line <a class="el" href="Matop_8c-source.html#l00314">314</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 686 <p>
 687 References <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), <a class="el" href="Matop_8c-source.html#l00101">Matrix_Copy</a>(), <a class="el" href="Matop_8c-source.html#l00170">PutRowLast</a>(), and <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>.
 688 <p>
 689 Referenced by <a class="el" href="Matop_8c-source.html#l00353">findHermiteBasis</a>().    </td>
 690   </tr>
 691 </table>
 692 <a name="a4" doxytag="Matop.c::Transpose"></a><p>
 693 <table width="100%" cellpadding="2" cellspacing="0" border="0">
 694   <tr>
 695     <td class="md">
 696       <table cellpadding="0" cellspacing="0" border="0">
 697         <tr>
 698           <td class="md" nowrap valign="top"> Matrix* Transpose </td>
 699           <td class="md" valign="top">(&nbsp;</td>
 700           <td class="md" nowrap valign="top">Matrix *&nbsp;</td>
 701           <td class="mdname1" valign="top" nowrap>&nbsp; <em>A</em>          </td>
 702           <td class="md" valign="top">)&nbsp;</td>
 703           <td class="md" nowrap></td>
 704         </tr>
 705
 706       </table>
 707     </td>
 708   </tr>
 709 </table>
 710 <table cellspacing=5 cellpadding=0 border=0>
 711   <tr>
 712     <td>
 713       &nbsp;
 714     </td>
 715     <td>
 716
 717 <p>
 718
 719 <p>
 720 Definition at line <a class="el" href="Matop_8c-source.html#l00086">86</a> of file <a class="el" href="Matop_8c-source.html">Matop.c</a>.
 721 <p>
 722 References <a class="el" href="matrix_8c-source.html#l00028">Matrix_Alloc</a>(), and <a class="el" href="arithmetique_8h-source.html#l00319">value_assign</a>.
 723 <p>
 724 Referenced by <a class="el" href="Matop_8c-source.html#l00353">findHermiteBasis</a>(), and <a class="el" href="NormalForms_8c-source.html#l00695">Hermite</a>().    </td>
 725   </tr>
 726 </table>
 727 <hr><address align="right"><small>Generated on Fri Nov 8 12:10:07 2002 for Polylib by
 728 <a href="http://www.doxygen.org/index.html">
 729 <img src="doxygen.png" alt="doxygen" align="middle" border=0
 730 width=110 height=53></a>1.2.15 </small></address>
 731 </body>
 732 </html>