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<title>Crypto++: EuclideanDomainOf&lt; T &gt; Class Template Reference</title>
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<a href="#pub-types">Public Types</a> &#124;
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<div class="title">EuclideanDomainOf&lt; T &gt; Class Template Reference</div>  </div>
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<!-- doxytag: class="EuclideanDomainOf" --><!-- doxytag: inherits="AbstractEuclideanDomain" -->
<p><a class="el" href="class_euclidean_domain_of.html" title="EuclideanDomainOf.">EuclideanDomainOf</a>.  
 <a href="class_euclidean_domain_of.html#details">More...</a></p>

<p><code>#include &lt;<a class="el" href="algebra_8h_source.html">algebra.h</a>&gt;</code></p>
<div class="dynheader">
Inheritance diagram for EuclideanDomainOf&lt; T &gt;:</div>
<div class="dyncontent">
 <div class="center">
  <img src="class_euclidean_domain_of.png" usemap="#EuclideanDomainOf&lt; T &gt;_map" alt=""/>
  <map id="EuclideanDomainOf&lt; T &gt;_map" name="EuclideanDomainOf&lt; T &gt;_map">
<area href="class_abstract_euclidean_domain.html" title="Abstract Euclidean Domain." alt="AbstractEuclideanDomain&lt; T &gt;" shape="rect" coords="0,112,188,136"/>
<area href="class_abstract_ring.html" title="Abstract Ring." alt="AbstractRing&lt; T &gt;" shape="rect" coords="0,56,188,80"/>
<area href="class_abstract_group.html" title="Abstract Group." alt="AbstractGroup&lt; T &gt;" shape="rect" coords="0,0,188,24"/>
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 </div></div>

<p><a href="class_euclidean_domain_of-members.html">List of all members.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="pub-types"></a>
Public Types</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa7ae3206185edccff8c2e7d56eb9d47b"></a><!-- doxytag: member="EuclideanDomainOf::Element" ref="aa7ae3206185edccff8c2e7d56eb9d47b" args="" -->
typedef T&#160;</td><td class="memItemRight" valign="bottom"><b>Element</b></td></tr>
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9c06ea0c5435d761cb42bff4fecdefe1"></a><!-- doxytag: member="EuclideanDomainOf::Equal" ref="a9c06ea0c5435d761cb42bff4fecdefe1" args="(const Element &amp;a, const Element &amp;b) const " -->
bool&#160;</td><td class="memItemRight" valign="bottom"><b>Equal</b> (const Element &amp;a, const Element &amp;b) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="adb0fa01307ae40351be7e00663713a9a"></a><!-- doxytag: member="EuclideanDomainOf::Identity" ref="adb0fa01307ae40351be7e00663713a9a" args="() const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Identity</b> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af9be8703b57c4eb3fca8371a5709ed61"></a><!-- doxytag: member="EuclideanDomainOf::Add" ref="af9be8703b57c4eb3fca8371a5709ed61" args="(const Element &amp;a, const Element &amp;b) const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Add</b> (const Element &amp;a, const Element &amp;b) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9fa4103ff0b31f33b1f039383c9ab57c"></a><!-- doxytag: member="EuclideanDomainOf::Accumulate" ref="a9fa4103ff0b31f33b1f039383c9ab57c" args="(Element &amp;a, const Element &amp;b) const " -->
Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Accumulate</b> (Element &amp;a, const Element &amp;b) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ad78d5eeb2ec41658d48fdbf526af8fc3"></a><!-- doxytag: member="EuclideanDomainOf::Inverse" ref="ad78d5eeb2ec41658d48fdbf526af8fc3" args="(const Element &amp;a) const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Inverse</b> (const Element &amp;a) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a29808a9e90c45ce67743838856ad0259"></a><!-- doxytag: member="EuclideanDomainOf::Subtract" ref="a29808a9e90c45ce67743838856ad0259" args="(const Element &amp;a, const Element &amp;b) const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Subtract</b> (const Element &amp;a, const Element &amp;b) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a86e05235bbeaf1bb248f8354f3900d4b"></a><!-- doxytag: member="EuclideanDomainOf::Reduce" ref="a86e05235bbeaf1bb248f8354f3900d4b" args="(Element &amp;a, const Element &amp;b) const " -->
Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Reduce</b> (Element &amp;a, const Element &amp;b) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a8c780e5c44eb5263e0115d02cd673725"></a><!-- doxytag: member="EuclideanDomainOf::Double" ref="a8c780e5c44eb5263e0115d02cd673725" args="(const Element &amp;a) const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Double</b> (const Element &amp;a) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a96b4cd14ea7dd94ed448091eafc0e987"></a><!-- doxytag: member="EuclideanDomainOf::MultiplicativeIdentity" ref="a96b4cd14ea7dd94ed448091eafc0e987" args="() const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>MultiplicativeIdentity</b> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a838df0bdf681e17b2d9739218055f77d"></a><!-- doxytag: member="EuclideanDomainOf::Multiply" ref="a838df0bdf681e17b2d9739218055f77d" args="(const Element &amp;a, const Element &amp;b) const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Multiply</b> (const Element &amp;a, const Element &amp;b) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="abbca8e162fa458ea0c3298ec93bbc785"></a><!-- doxytag: member="EuclideanDomainOf::Square" ref="abbca8e162fa458ea0c3298ec93bbc785" args="(const Element &amp;a) const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Square</b> (const Element &amp;a) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acc11a9230a2d95b1f9bf7881abcfa58e"></a><!-- doxytag: member="EuclideanDomainOf::IsUnit" ref="acc11a9230a2d95b1f9bf7881abcfa58e" args="(const Element &amp;a) const " -->
bool&#160;</td><td class="memItemRight" valign="bottom"><b>IsUnit</b> (const Element &amp;a) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a1799ba37ef6df348c1c03f26662a48dd"></a><!-- doxytag: member="EuclideanDomainOf::MultiplicativeInverse" ref="a1799ba37ef6df348c1c03f26662a48dd" args="(const Element &amp;a) const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>MultiplicativeInverse</b> (const Element &amp;a) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="adec4df9559c0c1e606ab8640fa4375cd"></a><!-- doxytag: member="EuclideanDomainOf::Divide" ref="adec4df9559c0c1e606ab8640fa4375cd" args="(const Element &amp;a, const Element &amp;b) const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Divide</b> (const Element &amp;a, const Element &amp;b) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9a984ecc864048eca647219f0cca2107"></a><!-- doxytag: member="EuclideanDomainOf::Mod" ref="a9a984ecc864048eca647219f0cca2107" args="(const Element &amp;a, const Element &amp;b) const " -->
const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Mod</b> (const Element &amp;a, const Element &amp;b) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ad6f863dee17427103f777e1965f2eb63"></a><!-- doxytag: member="EuclideanDomainOf::DivisionAlgorithm" ref="ad6f863dee17427103f777e1965f2eb63" args="(Element &amp;r, Element &amp;q, const Element &amp;a, const Element &amp;d) const " -->
void&#160;</td><td class="memItemRight" valign="bottom"><b>DivisionAlgorithm</b> (Element &amp;r, Element &amp;q, const Element &amp;a, const Element &amp;d) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ac362f13502c9fcd46495e184088039fe"></a><!-- doxytag: member="EuclideanDomainOf::operator==" ref="ac362f13502c9fcd46495e184088039fe" args="(const EuclideanDomainOf&lt; T &gt; &amp;rhs) const " -->
bool&#160;</td><td class="memItemRight" valign="bottom"><b>operator==</b> (const <a class="el" href="class_euclidean_domain_of.html">EuclideanDomainOf</a>&lt; T &gt; &amp;rhs) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a91957689dad55107d1c8c256d6dbf8b2"></a><!-- doxytag: member="EuclideanDomainOf::Gcd" ref="a91957689dad55107d1c8c256d6dbf8b2" args="(const Element &amp;a, const Element &amp;b) const " -->
virtual const Element &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>Gcd</b> (const Element &amp;a, const Element &amp;b) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a23be7c80484bc46fd8beaa0a6aefa66d"></a><!-- doxytag: member="EuclideanDomainOf::Exponentiate" ref="a23be7c80484bc46fd8beaa0a6aefa66d" args="(const Element &amp;a, const Integer &amp;e) const " -->
virtual Element&#160;</td><td class="memItemRight" valign="bottom"><b>Exponentiate</b> (const Element &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;e) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acbe859e24ea6ee1e22ed2a1261f7f9d0"></a><!-- doxytag: member="EuclideanDomainOf::CascadeExponentiate" ref="acbe859e24ea6ee1e22ed2a1261f7f9d0" args="(const Element &amp;x, const Integer &amp;e1, const Element &amp;y, const Integer &amp;e2) const " -->
virtual Element&#160;</td><td class="memItemRight" valign="bottom"><b>CascadeExponentiate</b> (const Element &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const Element &amp;y, const <a class="el" href="class_integer.html">Integer</a> &amp;e2) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a56b1047d5e1c57d9b3c52e20af464cfe"></a><!-- doxytag: member="EuclideanDomainOf::SimultaneousExponentiate" ref="a56b1047d5e1c57d9b3c52e20af464cfe" args="(Element *results, const Element &amp;base, const Integer *exponents, unsigned int exponentsCount) const " -->
virtual void&#160;</td><td class="memItemRight" valign="bottom"><b>SimultaneousExponentiate</b> (Element *results, const Element &amp;base, const <a class="el" href="class_integer.html">Integer</a> *exponents, unsigned int exponentsCount) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ab48b7bf4c39d1b2bd06ac92e71e0b905"></a><!-- doxytag: member="EuclideanDomainOf::MultiplicativeGroup" ref="ab48b7bf4c39d1b2bd06ac92e71e0b905" args="() const " -->
virtual const <a class="el" href="class_abstract_group.html">AbstractGroup</a>&lt; T &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>MultiplicativeGroup</b> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ac571ac9b67ad9b7ef893c715b1ec2f43"></a><!-- doxytag: member="EuclideanDomainOf::InversionIsFast" ref="ac571ac9b67ad9b7ef893c715b1ec2f43" args="() const " -->
virtual bool&#160;</td><td class="memItemRight" valign="bottom"><b>InversionIsFast</b> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="abf1b8d510593fd5a9e8111580107741b"></a><!-- doxytag: member="EuclideanDomainOf::ScalarMultiply" ref="abf1b8d510593fd5a9e8111580107741b" args="(const Element &amp;a, const Integer &amp;e) const " -->
virtual Element&#160;</td><td class="memItemRight" valign="bottom"><b>ScalarMultiply</b> (const Element &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;e) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aca3e1ca578003aff2595cc8d73522894"></a><!-- doxytag: member="EuclideanDomainOf::CascadeScalarMultiply" ref="aca3e1ca578003aff2595cc8d73522894" args="(const Element &amp;x, const Integer &amp;e1, const Element &amp;y, const Integer &amp;e2) const " -->
virtual Element&#160;</td><td class="memItemRight" valign="bottom"><b>CascadeScalarMultiply</b> (const Element &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const Element &amp;y, const <a class="el" href="class_integer.html">Integer</a> &amp;e2) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a00a5cd4b22aab947ec107ec93ad13122"></a><!-- doxytag: member="EuclideanDomainOf::SimultaneousMultiply" ref="a00a5cd4b22aab947ec107ec93ad13122" args="(Element *results, const Element &amp;base, const Integer *exponents, unsigned int exponentsCount) const " -->
virtual void&#160;</td><td class="memItemRight" valign="bottom"><b>SimultaneousMultiply</b> (Element *results, const Element &amp;base, const <a class="el" href="class_integer.html">Integer</a> *exponents, unsigned int exponentsCount) const </td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template&lt;class T&gt;<br/>
class EuclideanDomainOf&lt; T &gt;</h3>

<p><a class="el" href="class_euclidean_domain_of.html" title="EuclideanDomainOf.">EuclideanDomainOf</a>. </p>

<p>Definition at line <a class="el" href="algebra_8h_source.html#l00155">155</a> of file <a class="el" href="algebra_8h_source.html">algebra.h</a>.</p>
</div><hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="algebra_8h_source.html">algebra.h</a></li>
</ul>
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