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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"><html><head><meta http-equiv="Content-Type" content="text/html;charset=UTF-8"><title>Crypto++: AbstractEuclideanDomain&lt; T &gt; Class Template Reference</title><link href="doxygen.css" rel="stylesheet" type="text/css"><link href="tabs.css" rel="stylesheet" type="text/css"></head><body><!-- Generated by Doxygen 1.5.2 --><div class="tabs">  <ul>    <li><a href="index.html"><span>Main&nbsp;Page</span></a></li>    <li><a href="namespaces.html"><span>Namespaces</span></a></li>    <li class="current"><a href="classes.html"><span>Classes</span></a></li>    <li><a href="files.html"><span>Files</span></a></li>  </ul></div><div class="tabs">  <ul>    <li><a href="classes.html"><span>Alphabetical&nbsp;List</span></a></li>    <li><a href="annotated.html"><span>Class&nbsp;List</span></a></li>    <li><a href="hierarchy.html"><span>Class&nbsp;Hierarchy</span></a></li>    <li><a href="functions.html"><span>Class&nbsp;Members</span></a></li>  </ul></div><h1>AbstractEuclideanDomain&lt; T &gt; Class Template Reference</h1><!-- doxytag: class="AbstractEuclideanDomain" --><!-- doxytag: inherits="AbstractRing" --><code>#include &lt;<a class="el" href="algebra_8h-source.html">algebra.h</a>&gt;</code><p><p>Inheritance diagram for AbstractEuclideanDomain&lt; T &gt;:<p><center><img src="class_abstract_euclidean_domain.png" usemap="#AbstractEuclideanDomain< T >_map" border="0" alt=""></center><map name="AbstractEuclideanDomain< T >_map"><area href="class_abstract_ring.html" alt="AbstractRing< T >" shape="rect" coords="0,56,188,80"><area href="class_abstract_group.html" alt="AbstractGroup< T >" shape="rect" coords="0,0,188,24"><area href="class_euclidean_domain_of.html" alt="EuclideanDomainOf< T >" shape="rect" coords="0,168,188,192"></map><a href="class_abstract_euclidean_domain-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2><h3>template&lt;class T&gt;<br> class AbstractEuclideanDomain&lt; T &gt;</h3>Abstract Euclidean Domain. <p><p>Definition at line <a class="el" href="algebra_8h-source.html#l00138">138</a> of file <a class="el" href="algebra_8h-source.html">algebra.h</a>.<table border="0" cellpadding="0" cellspacing="0"><tr><td></td></tr><tr><td colspan="2"><br><h2>Public Types</h2></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="02903b4c46289ca070e2e7668e532bdc"></a><!-- doxytag: member="AbstractEuclideanDomain::Element" ref="02903b4c46289ca070e2e7668e532bdc" args="" -->typedef T&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a></td></tr><tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="67d531140a3da7aecf49c1368634ae92"></a><!-- doxytag: member="AbstractEuclideanDomain::DivisionAlgorithm" ref="67d531140a3da7aecf49c1368634ae92" args="(Element &amp;r, Element &amp;q, const Element &amp;a, const Element &amp;d) const=0" -->virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><b>DivisionAlgorithm</b> (<a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;r, <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;q, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;d) const=0</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="aeaae5226cf710c9a8c583f5fc1d17b6"></a><!-- doxytag: member="AbstractEuclideanDomain::Mod" ref="aeaae5226cf710c9a8c583f5fc1d17b6" args="(const Element &amp;a, const Element &amp;b) const=0" -->virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_euclidean_domain.html#aeaae5226cf710c9a8c583f5fc1d17b6">Mod</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;b) const=0</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2044146d4eb49414e1f4f880a9858161"></a><!-- doxytag: member="AbstractEuclideanDomain::Gcd" ref="2044146d4eb49414e1f4f880a9858161" args="(const Element &amp;a, const Element &amp;b) const" -->virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_euclidean_domain.html#2044146d4eb49414e1f4f880a9858161">Gcd</a> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cc7079c244d980c670c329e483c4f107"></a><!-- doxytag: member="AbstractEuclideanDomain::IsUnit" ref="cc7079c244d980c670c329e483c4f107" args="(const Element &amp;a) const =0" -->virtual bool&nbsp;</td><td class="memItemRight" valign="bottom"><b>IsUnit</b> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a) const =0</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ee83e614ccaa74346201aae6b62d9e90"></a><!-- doxytag: member="AbstractEuclideanDomain::MultiplicativeIdentity" ref="ee83e614ccaa74346201aae6b62d9e90" args="() const=0" -->virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>MultiplicativeIdentity</b> () const=0</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7402d5b81b64771adb9cbed50fbbd158"></a><!-- doxytag: member="AbstractEuclideanDomain::Multiply" ref="7402d5b81b64771adb9cbed50fbbd158" args="(const Element &amp;a, const Element &amp;b) const=0" -->virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>Multiply</b> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a, const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;b) const=0</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ba109f4e7932d77a8251c1ec20627571"></a><!-- doxytag: member="AbstractEuclideanDomain::MultiplicativeInverse" ref="ba109f4e7932d77a8251c1ec20627571" args="(const Element &amp;a) const =0" -->virtual const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>MultiplicativeInverse</b> (const <a class="el" href="class_abstract_euclidean_domain.html#02903b4c46289ca070e2e7668e532bdc">Element</a> &amp;a) const =0</td></tr>

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