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<title>Oct</title>
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</div>
<h1>Module <a href="type_Oct.html">Oct</a></h1>

<pre><span class="keyword">module</span> Oct: <code class="code"><span class="keyword">sig</span></code> <a href="Oct.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info module top">
Octagon abstract domain.<br>
</div>
<hr width="100%">

<pre><span id="TYPEinternal"><span class="keyword">type</span> <code class="type"></code>internal</span> </pre>

<br>
Octagon abstract domain.<br>

<pre><span id="TYPEt"><span class="keyword">type</span> <code class="type"></code>t</span> </pre>
<div class="info ">
Type of octagons.
<p>

Octagons are defined by conjunctions of inequalities of the form
<code class="code">+/-x_i +/- x_j &gt;= 0</code>.
<p>

Abstract values which are octagons have the type <code class="code">t <span class="constructor">Apron</span>.<span class="constructor">AbstractX</span>.t</code>.
<p>

Managers allocated for octagons have the type <code class="code">t <span class="constructor">Apron</span>.manager.t</code>.<br>
</div>


<pre><span id="VALmanager_alloc"><span class="keyword">val</span> manager_alloc</span> : <code class="type">unit -> <a href="Oct.html#TYPEt">t</a> Apron.Manager.t</code></pre><div class="info ">
Allocate a new manager to manipulate octagons.<br>
</div>

<pre><span id="VALmanager_get_internal"><span class="keyword">val</span> manager_get_internal</span> : <code class="type"><a href="Oct.html#TYPEt">t</a> Apron.Manager.t -> <a href="Oct.html#TYPEinternal">internal</a></code></pre><div class="info ">
No internal parameters for now...<br>
</div>

<pre><span id="VALof_generator_array"><span class="keyword">val</span> of_generator_array</span> : <code class="type"><a href="Oct.html#TYPEt">t</a> Apron.Manager.t -><br>       int -> int -> Apron.Generator0.t array -> <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t</code></pre><div class="info ">
Approximate a set of generators to an abstract value, with best precision.<br>
</div>

<pre><span id="VALwidening_thresholds"><span class="keyword">val</span> widening_thresholds</span> : <code class="type"><a href="Oct.html#TYPEt">t</a> Apron.Manager.t -><br>       <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t -><br>       <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t -> Apron.Scalar.t array -> <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t</code></pre><div class="info ">
Widening with scalar thresholds.<br>
</div>

<pre><span id="VALnarrowing"><span class="keyword">val</span> narrowing</span> : <code class="type"><a href="Oct.html#TYPEt">t</a> Apron.Manager.t -><br>       <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t -> <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t -> <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t</code></pre><div class="info ">
Standard narrowing.<br>
</div>

<pre><span id="VALadd_epsilon"><span class="keyword">val</span> add_epsilon</span> : <code class="type"><a href="Oct.html#TYPEt">t</a> Apron.Manager.t -><br>       <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t -> Apron.Scalar.t -> <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t</code></pre><div class="info ">
Perturbation.<br>
</div>

<pre><span id="VALadd_epsilon_bin"><span class="keyword">val</span> add_epsilon_bin</span> : <code class="type"><a href="Oct.html#TYPEt">t</a> Apron.Manager.t -><br>       <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t -><br>       <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t -> Apron.Scalar.t -> <a href="Oct.html#TYPEt">t</a> Apron.Abstract0.t</code></pre><div class="info ">
Perturbation.<br>
</div>

<pre><span id="VALpre_widening"><span class="keyword">val</span> pre_widening</span> : <code class="type">int</code></pre><div class="info ">
Algorithms.<br>
</div>
<br>
<h2 id="2_Typeconversions">Type conversions</h2><br>

<pre><span id="VALmanager_is_oct"><span class="keyword">val</span> manager_is_oct</span> : <code class="type">'a Apron.Manager.t -> bool</code></pre><div class="info ">
Return <code class="code"><span class="keyword">true</span></code> iff the argument manager is an octagon manager<br>
</div>

<pre><span id="VALmanager_of_oct"><span class="keyword">val</span> manager_of_oct</span> : <code class="type"><a href="Oct.html#TYPEt">t</a> Apron.Manager.t -> 'a Apron.Manager.t</code></pre><div class="info ">
Make an octagon manager generic<br>
</div>

<pre><span id="VALmanager_to_oct"><span class="keyword">val</span> manager_to_oct</span> : <code class="type">'a Apron.Manager.t -> <a href="Oct.html#TYPEt">t</a> Apron.Manager.t</code></pre><div class="info ">
Instanciate the type of an octagon manager.
      Raises <code class="code"><span class="constructor">Failure</span></code> if the argument manager is not an octagon manager<br>
</div>

<pre><span class="keyword">module</span> <a href="Oct.Abstract0.html">Abstract0</a>: <code class="code"><span class="keyword">sig</span></code> <a href="Oct.Abstract0.html">..</a> <code class="code"><span class="keyword">end</span></code></pre>
<pre><span class="keyword">module</span> <a href="Oct.Abstract1.html">Abstract1</a>: <code class="code"><span class="keyword">sig</span></code> <a href="Oct.Abstract1.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><br>
<h2 id="2_Compilationinformation">Compilation information</h2>
<p>

See <a href="Introduction.html#compilation"><i>Compiling and linking client programs against APRON</i></a> for complete explanations. 
We just show examples with the file <code class="code">mlexample.ml</code>.
<p>

<h3 id="3_Bytecodecompilation">Bytecode compilation</h3>
<p>

<pre class="codepre"><code class="code">ocamlc -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -o mlexample.byte \
  bigarray.cma gmp.cma apron.cma octD.cma mlexample.ml</code></pre>
<p>

<pre class="codepre"><code class="code">ocamlc -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -make-runtime -o myrun \
  bigarray.cma gmp.cma apron.cma octD.cma

ocamlc -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -use-runtime myrun -o mlexample.byte \
  bigarray.cma gmp.cma apron.cma octD.cma mlexample.ml </code></pre>
<p>

<h3 id="3_Nativecodecompilation">Native-code compilation</h3>
<p>

<pre class="codepre"><code class="code">ocamlopt -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -o mlexample.opt \
  bigarray.cmxa gmp.cmxa apron.cmxa octD.cmxa mlexample.ml </code></pre>
<p>

<h3 id="3_Withoutautolinkingfeature">Without auto-linking feature</h3>
<p>

<pre class="codepre"><code class="code">ocamlopt -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -noautolink -o mlexample.opt \
  bigarray.cmxa gmp.cmxa apron.cmxa octD.cmxa mlexample.ml \
  -cclib "-L$MLGMPIDL_PREFIX/lib -L$APRON_PREFIX/lib \
	  -loctD_caml_debug -loctD_debug \
	  -lapron_caml_debug -lapron_debug \
	  -lgmp_caml -L$MPFR_PREFIX/lib -lmpfr -L$GMP_PREFIX/lib -lgmp \
	  -L$CAMLIDL_PREFIX/lib/ocaml -lcamlidl \
	  -lbigarray" </code></pre><br>
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