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<div class="title">Integers</div> </div>
<div class="ingroups"><a class="el" href="group__ring.html">ring</a></div></div>
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<p><a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a> integer representation and operations.
<a href="#details">More...</a></p>
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Data Structures</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__double.html">PID_double</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">NO DOC. <a href="class_lin_box_1_1_p_i_d__double.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_p_i_d__integer.html">PID_integer</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Domain for integer operations. <a href="class_lin_box_1_1_p_i_d__integer.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_field_a_x_p_y_3_01_unparametric_field_3_01integer_01_4_01_4.html">FieldAXPY< UnparametricField< integer > ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">NO DOc. <a href="class_lin_box_1_1_field_a_x_p_y_3_01_unparametric_field_3_01integer_01_4_01_4.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_random_integer_iterator.html">RandomIntegerIterator< _Unsigned ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Random Prime Generator. <a href="class_lin_box_1_1_random_integer_iterator.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_random_integer_iter.html">RandomIntegerIter< _Unsigned ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Random Integer Iterator. <a href="class_lin_box_1_1_random_integer_iter.html#details">More...</a><br/></td></tr>
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Modules</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__primes.html">Primes</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
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Typedefs</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef ::Givaro::Integer </td><td class="memItemRight" valign="bottom"><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e">integer</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Integers in <a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a>. <a href="#gad62eceb96963b157a2357aba991f6d6e"></a><br/></td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<p><a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a> integer representation and operations. </p>
<p><a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a> integers come from Givaro which uses GMP. This ensures fastest operations.</p>
<p><a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a> provides :</p>
<ul>
<li>LinBox::Integer is the Givaro representation of an integer (Givaro::Integer).</li>
<li><a class="el" href="group__integers.html#gad62eceb96963b157a2357aba991f6d6e" title="Integers in LinBox.">LinBox::integer</a> is a synonym</li>
<li><a class="el" href="class_lin_box_1_1_p_i_d__integer.html" title="Domain for integer operations.">LinBox::PID_integer</a> is a domain (ref ???) to perform integers operation on.</li>
<li>Others ?</li>
</ul>
<p>other use of integers ?</p>
<dl class="warning"><dt><b>Warning:</b></dt><dd>due to the construction of Givaro, you should always prefer to group operations as in the example : <div class="fragment"><pre class="fragment"> Integer a=1,b=1,c=1;
c += a * b ; <span class="comment">// slow</span>
axpyin(c,a,b) ; <span class="comment">// faster</span>
</pre></div> </dd></dl>
<dl class="see"><dt><b>See also:</b></dt><dd><a href="http://ljk.imag.fr/CASYS/LOGICIELS/givaro/">Givaro</a> for documentation. </dd></dl>
<hr/><h2>Typedef Documentation</h2>
<a class="anchor" id="gad62eceb96963b157a2357aba991f6d6e"></a><!-- doxytag: member="LinBox::integer" ref="gad62eceb96963b157a2357aba991f6d6e" args="" -->
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<td class="memname">typedef ::Givaro::Integer integer</td>
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<div class="memdoc">
<p>Integers in <a class="el" href="namespace_lin_box.html" title="Namespace in which all linbox code resides.">LinBox</a>. </p>
<p>Integer representation from <a href="http://ljk.imag.fr/CASYS/LOGICIELS/givaro/">Givaro</a>. </p>
<dl><dt><b>Examples: </b></dt><dd><a class="el" href="examples_2smithvalence_8_c-example.html#a0">examples/smithvalence.C</a>.</dd>
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