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<h1>CddInterface</h1>


<h2>Gap interface to Cdd package</h2>

<p>
    2025.06.24</p>

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    24 June 2025
  </p>

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<p><b>
    Kamal Saleh




  </b>
<br />Email: <span class="URL"><a href="mailto:kamal.saleh@uni-siegen.de">kamal.saleh@uni-siegen.de</a></span>
<br />Homepage: <span class="URL"><a href="https://github.com/kamalsaleh">https://github.com/kamalsaleh</a></span>
<br />Address: <br />Department Mathematik<br /> Universität Siegen<br /> Walter-Flex-Straße 3<br /> 57072 Siegen<br /> Germany<br />
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<h3>Contents<a id="contents" name="contents"></a></h3>

<div class="ContChap"><a href="chap1.html#X7DFB63A97E67C0A1">1 <span class="Heading">Introduction</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X78B6806682EA4E0D">1.1 <span class="Heading">Why CddInterface</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X811322537C6ADBBE">1.2 <span class="Heading">H-representation and V-representation of polyhedra</span></a>
</span>
</div>
</div>
<div class="ContChap"><a href="chap2.html#X7CA75753797126E1">2 <span class="Heading">Creating polyhedra and their Operations</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X84D9DB317A23B6C9">2.1 <span class="Heading">Creating a polyhedron</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7AB5A29C82FEBC24">2.1-1 Cdd_PolyhedronByInequalities</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7DF57D1586FEFAA8">2.1-2 Cdd_PolyhedronByGenerators</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X876837A483D59A93">2.2 <span class="Heading">Some operations on a polyhedron</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X81941B158503C052">2.2-1 Cdd_FourierProjection</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X80CE410083662BB8">2.3 <span class="Heading">Some operations on two polyhedrons</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X811F5CBB8096383B">2.3-1 Cdd_IsContained</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X82E1352D7A0DCA38">2.3-2 Cdd_Intersection</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X86E9928D806EADA6"><code>2.3-3 \+</code></a></span>
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<div class="ContChap"><a href="chap3.html#X825271797BE64406">3 <span class="Heading">Linear Programs</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3.html#X78544DEC7F939A89">3.1 <span class="Heading">Creating and solving linear programs</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3.html#X78C17DC0813644BE">3.1-1 Cdd_LinearProgram</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3.html#X79EB266A8289CE29">3.1-2 Cdd_SolveLinearProgram</a></span>
</div></div>
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<div class="ContChap"><a href="chap4.html#X7DC480E57D26429A">4 <span class="Heading">Attributes and properties</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7A2BE11B87B4A521">4.1 <span class="Heading">Attributes and properties of polyhedron</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X8385F69A87131EAD">4.1-1 Cdd_Canonicalize</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X85E888C97D4E105B">4.1-2 Cdd_V_Rep</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X8414F54E80B312C5">4.1-3 Cdd_H_Rep</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7CF2AEA1810DCDB9">4.1-4 Cdd_AmbientSpaceDimension</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X81C260A1830AB7D4">4.1-5 Cdd_Dimension</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X82FBBDE082F8D36E">4.1-6 Cdd_GeneratingVertices</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7E50781780D8F8EB">4.1-7 Cdd_GeneratingRays</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7A31F87C7903D209">4.1-8 Cdd_Equalities</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X86B3B0468420F573">4.1-9 Cdd_Inequalities</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X869C857285945057">4.1-10 Cdd_InteriorPoint</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X8040DAA2872555F5">4.1-11 Cdd_Faces</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X84B3FAAE7ECF5ACF">4.1-12 Cdd_FacesWithFixedDimension</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X872EC7F186282090">4.1-13 Cdd_FacesWithInteriorPoints</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7DE87B0984B3F177">4.1-14 Cdd_FacesWithFixedDimensionAndInteriorPoints</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7B448A2578CB679F">4.1-15 Cdd_Facets</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7F1FB2B17B561A45">4.1-16 Cdd_Lines</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7FABEAFE790C7ABD">4.1-17 Cdd_Vertices</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X7D4B6C2F7E71756C">4.1-18 Cdd_IsEmpty</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X79FC1D7D7C266683">4.1-19 Cdd_IsCone</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4.html#X80784F1B7FE8419D">4.1-20 Cdd_IsPointed</a></span>
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