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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<title>polylib: alpha.h File Reference</title>
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<h1>alpha.h File Reference</h1>
<p><a href="alpha_8h_source.html">Go to the source code of this file.</a></p>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td colspan="2"><h2>Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="alpha_8h.html#abc2f8eafa5cd2a9e5518911f48694d50">GaussSimplify</a> (<a class="el" href="structmatrix.html">Matrix</a> *M, <a class="el" href="structmatrix.html">Matrix</a> *M2)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="alpha_8h.html#af6fa8b8fe252ab66fdd61f14595ff979">PolyhedronLTQ</a> (<a class="el" href="structpolyhedron.html">Polyhedron</a> *P1, <a class="el" href="structpolyhedron.html">Polyhedron</a> *P2, int INDEX, int PDIM, int MAXRAYS)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="alpha_8h.html#a682408c0e864140d11fb7b841e5d6654">PolyhedronTSort</a> (<a class="el" href="structpolyhedron.html">Polyhedron</a> **L, unsigned int <a class="el" href="polyparam_8c.html#a76f11d9a0a47b94f72c2d0e77fb32240">n</a>, unsigned int index, unsigned int pdim, int *time, int *pvect, unsigned int MAXRAYS)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="alpha_8h.html#a5be7eb3e254a2e2e61c50d736b4900de">Polyhedron_Not_Empty</a> (<a class="el" href="structpolyhedron.html">Polyhedron</a> *P, <a class="el" href="structpolyhedron.html">Polyhedron</a> *C, int MAXRAYS)</td></tr>
</table>
<hr/><h2>Function Documentation</h2>
<a class="anchor" id="abc2f8eafa5cd2a9e5518911f48694d50"></a><!-- doxytag: member="alpha.h::GaussSimplify" ref="abc2f8eafa5cd2a9e5518911f48694d50" args="(Matrix *M, Matrix *M2)" -->
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<td class="memname">int GaussSimplify </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmatrix.html">Matrix</a> * </td>
<td class="paramname"> <em>M</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structmatrix.html">Matrix</a> * </td>
<td class="paramname"> <em>M2</em></td><td> </td>
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<td></td>
<td>)</td>
<td></td><td></td><td></td>
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<div class="memdoc">
<p>Definition at line <a class="el" href="alpha_8c_source.html#l00384">384</a> of file <a class="el" href="alpha_8c_source.html">alpha.c</a>.</p>
<p>References <a class="el" href="errormsg_8c_source.html#l00046">errormsg1()</a>, <a class="el" href="polyparam_8c_source.html#l00284">n</a>, <a class="el" href="types_8h_source.html#l00092">matrix::NbColumns</a>, <a class="el" href="types_8h_source.html#l00092">matrix::NbRows</a>, <a class="el" href="types_8h_source.html#l00093">matrix::p</a>, <a class="el" href="polyhedron_8c_source.html#l00089">Pol_status</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00529">value_absolute</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00459">value_assign</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00462">value_clear</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00524">value_divexact</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00523">value_division</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00532">value_gcd</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00480">value_ge</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00458">value_init</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00550">value_neg_p</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00556">value_notone_p</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00554">value_notzero_p</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00555">value_one_p</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00528">value_oppose</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00460">value_set_si</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00553">value_zero_p</a>, <a class="el" href="vector_8c_source.html#l00434">Vector_Combine()</a>, <a class="el" href="vector_8c_source.html#l00256">Vector_Exchange()</a>, <a class="el" href="vector_8c_source.html#l00498">Vector_Gcd()</a>, and <a class="el" href="vector_8c_source.html#l00568">Vector_Normalize()</a>.</p>
<p>Referenced by <a class="el" href="polytest_8c_source.html#l00026">main()</a>.</p>
</div>
</div>
<a class="anchor" id="a5be7eb3e254a2e2e61c50d736b4900de"></a><!-- doxytag: member="alpha.h::Polyhedron_Not_Empty" ref="a5be7eb3e254a2e2e61c50d736b4900de" args="(Polyhedron *P, Polyhedron *C, int MAXRAYS)" -->
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<td class="memname">int Polyhedron_Not_Empty </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structpolyhedron.html">Polyhedron</a> * </td>
<td class="paramname"> <em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structpolyhedron.html">Polyhedron</a> * </td>
<td class="paramname"> <em>C</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>MAXRAYS</em></td><td> </td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td><td></td>
</tr>
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<div class="memdoc">
<p>Definition at line <a class="el" href="alpha_8c_source.html#l00104">104</a> of file <a class="el" href="alpha_8c_source.html">alpha.c</a>.</p>
<p>References <a class="el" href="types_8h_source.html#l00110">polyhedron::Dimension</a>, <a class="el" href="polyhedron_8c_source.html#l01616">Domain_Free()</a>, <a class="el" href="alpha_8c_source.html#l00049">exist_points()</a>, <a class="el" href="polyhedron_8h_source.html#l00030">POL_ENSURE_FACETS</a>, <a class="el" href="polyhedron_8h_source.html#l00034">POL_ENSURE_VERTICES</a>, <a class="el" href="polyhedron_8c_source.html#l03743">Polyhedron_Scan()</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00462">value_clear</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00458">value_init</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00460">value_set_si</a>, and <a class="el" href="vector_8c_source.html#l00240">Vector_Set()</a>.</p>
<p>Referenced by <a class="el" href="polytest_8c_source.html#l00026">main()</a>.</p>
</div>
</div>
<a class="anchor" id="af6fa8b8fe252ab66fdd61f14595ff979"></a><!-- doxytag: member="alpha.h::PolyhedronLTQ" ref="af6fa8b8fe252ab66fdd61f14595ff979" args="(Polyhedron *P1, Polyhedron *P2, int INDEX, int PDIM, int MAXRAYS)" -->
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<div class="memproto">
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<td class="memname">int PolyhedronLTQ </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structpolyhedron.html">Polyhedron</a> * </td>
<td class="paramname"> <em>P1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structpolyhedron.html">Polyhedron</a> * </td>
<td class="paramname"> <em>P2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>INDEX</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>PDIM</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>MAXRAYS</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td></td>
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<div class="memdoc">
<p>Definition at line <a class="el" href="alpha_8c_source.html#l00144">144</a> of file <a class="el" href="alpha_8c_source.html">alpha.c</a>.</p>
<p>References <a class="el" href="polyhedron_8c_source.html#l02293">AddConstraints()</a>, <a class="el" href="polyhedron_8c_source.html#l02661">AddRays()</a>, <a class="el" href="types_8h_source.html#l00111">polyhedron::Constraint</a>, <a class="el" href="types_8h_source.html#l00110">polyhedron::Dimension</a>, <a class="el" href="polyhedron_8c_source.html#l01616">Domain_Free()</a>, <a class="el" href="polyhedron_8c_source.html#l02607">DomainIntersection()</a>, <a class="el" href="types_8h_source.html#l00134">emptyQ</a>, <a class="el" href="errormsg_8c_source.html#l00046">errormsg1()</a>, <a class="el" href="matrix_8c_source.html#l00045">Matrix_Alloc()</a>, <a class="el" href="matrix_8c_source.html#l00092">Matrix_Free()</a>, <a class="el" href="matrix_8c_source.html#l00138">Matrix_Print()</a>, <a class="el" href="types_8h_source.html#l00110">polyhedron::NbConstraints</a>, <a class="el" href="types_8h_source.html#l00115">polyhedron::next</a>, <a class="el" href="types_8h_source.html#l00093">matrix::p</a>, <a class="el" href="types_8h_source.html#l00094">matrix::p_Init</a>, <a class="el" href="types_8h_source.html#l00061">P_VALUE_FMT</a>, <a class="el" href="polyhedron_8h_source.html#l00030">POL_ENSURE_FACETS</a>, <a class="el" href="polyhedron_8h_source.html#l00034">POL_ENSURE_VERTICES</a>, <a class="el" href="polyhedron_8c_source.html#l01630">Polyhedron_Print()</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00459">value_assign</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00550">value_neg_p</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00555">value_one_p</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00528">value_oppose</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00549">value_pos_p</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00460">value_set_si</a>, <a class="el" href="source_2arith_2arithmetique_8h_source.html#l00553">value_zero_p</a>, and <a class="el" href="vector_8c_source.html#l00240">Vector_Set()</a>.</p>
<p>Referenced by <a class="el" href="polytest_8c_source.html#l00026">main()</a>, and <a class="el" href="alpha_8c_source.html#l00532">PolyhedronTSort()</a>.</p>
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<a class="anchor" id="a682408c0e864140d11fb7b841e5d6654"></a><!-- doxytag: member="alpha.h::PolyhedronTSort" ref="a682408c0e864140d11fb7b841e5d6654" args="(Polyhedron **L, unsigned int n, unsigned int index, unsigned int pdim, int *time, int *pvect, unsigned int MAXRAYS)" -->
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<td class="memname">int PolyhedronTSort </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structpolyhedron.html">Polyhedron</a> ** </td>
<td class="paramname"> <em>L</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned int </td>
<td class="paramname"> <em>n</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned int </td>
<td class="paramname"> <em>index</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned int </td>
<td class="paramname"> <em>pdim</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int * </td>
<td class="paramname"> <em>time</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int * </td>
<td class="paramname"> <em>pvect</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned int </td>
<td class="paramname"> <em>MAXRAYS</em></td><td> </td>
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<td></td>
<td>)</td>
<td></td><td></td><td></td>
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<div class="memdoc">
<p>Definition at line <a class="el" href="alpha_8c_source.html#l00532">532</a> of file <a class="el" href="alpha_8c_source.html">alpha.c</a>.</p>
<p>References <a class="el" href="vector_8c_source.html#l00760">p</a>, <a class="el" href="polyhedron_8h_source.html#l00030">POL_ENSURE_FACETS</a>, <a class="el" href="polyhedron_8h_source.html#l00034">POL_ENSURE_VERTICES</a>, and <a class="el" href="alpha_8c_source.html#l00144">PolyhedronLTQ()</a>.</p>
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