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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"><html><head><meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1"><title>Crypto++:  TemplateQuotientRing&lt; T &gt; class Reference</title><link href="doxygen.css" rel="stylesheet" type="text/css"></head><body><!-- Generated by Doxygen 1.3.2 --><div class="qindex"><a class="qindex" href="index.html">Main&nbsp;Page</a> | <a class="qindex" href="namespaces.html">Namespace List</a> | <a class="qindex" href="hierarchy.html">Class&nbsp;Hierarchy</a> | <a class="qindex" href="classes.html">Alphabetical&nbsp;List</a> | <a class="qindex" href="annotated.html">Compound&nbsp;List</a> | <a class="qindex" href="files.html">File&nbsp;List</a> | <a class="qindex" href="namespacemembers.html">Namespace&nbsp;Members</a> | <a class="qindex" href="functions.html">Compound&nbsp;Members</a> | <a class="qindex" href="globals.html">File&nbsp;Members</a></div><h1>QuotientRing&lt; T &gt; Class Template Reference</h1><code>#include &lt;<a class="el" href="algebra_8h-source.html">algebra.h</a>&gt;</code><p><p>Inheritance diagram for QuotientRing&lt; T &gt;:<p><center><img src="class_quotient_ring.png" usemap="#QuotientRing< T >_map" border="0" alt=""></center><map name="QuotientRing< T >_map"><area href="class_abstract_ring.html" alt="AbstractRing< T::Element >" shape="rect" coords="0,56,175,80"><area href="class_abstract_group.html" alt="AbstractGroup< T::Element >" shape="rect" coords="0,0,175,24"></map><a href="class_quotient_ring-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2><h3>template&lt;class T&gt;<br> class QuotientRing&lt; T &gt;</h3>Quotient Ring. <p><p>Definition at line <a class="el" href="algebra_8h-source.html#l00215">215</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 name="_quotient_ringw0" doxytag="QuotientRing::EuclideanDomain"></a>typedef T&nbsp;</td><td class="memItemRight" valign=bottom><b>EuclideanDomain</b></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringw1" doxytag="QuotientRing::Element"></a>typedef T::Element&nbsp;</td><td class="memItemRight" valign=bottom><b>Element</b></td></tr><tr><td colspan=2><br><h2>Public Member Functions</h2></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa0" doxytag="QuotientRing::QuotientRing"></a>&nbsp;</td><td class="memItemRight" valign=bottom><b>QuotientRing</b> (const EuclideanDomain &amp;domain, const Element &amp;modulus)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa1" doxytag="QuotientRing::GetDomain"></a>const EuclideanDomain &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>GetDomain</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa2" doxytag="QuotientRing::GetModulus"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>GetModulus</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa3" doxytag="QuotientRing::Equal"></a>bool&nbsp;</td><td class="memItemRight" valign=bottom><b>Equal</b> (const Element &amp;a, const Element &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa4" doxytag="QuotientRing::Identity"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Identity</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa5" doxytag="QuotientRing::Add"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Add</b> (const Element &amp;a, const Element &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa6" doxytag="QuotientRing::Accumulate"></a>Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Accumulate</b> (Element &amp;a, const Element &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa7" doxytag="QuotientRing::Inverse"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Inverse</b> (const Element &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa8" doxytag="QuotientRing::Subtract"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Subtract</b> (const Element &amp;a, const Element &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa9" doxytag="QuotientRing::Reduce"></a>Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Reduce</b> (Element &amp;a, const Element &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa10" doxytag="QuotientRing::Double"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Double</b> (const Element &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa11" doxytag="QuotientRing::IsUnit"></a>bool&nbsp;</td><td class="memItemRight" valign=bottom><b>IsUnit</b> (const Element &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa12" doxytag="QuotientRing::MultiplicativeIdentity"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>MultiplicativeIdentity</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa13" doxytag="QuotientRing::Multiply"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Multiply</b> (const Element &amp;a, const Element &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa14" doxytag="QuotientRing::Square"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Square</b> (const Element &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa15" doxytag="QuotientRing::MultiplicativeInverse"></a>const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>MultiplicativeInverse</b> (const Element &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringa16" doxytag="QuotientRing::operator=="></a>bool&nbsp;</td><td class="memItemRight" valign=bottom><b>operator==</b> (const <a class="el" href="class_quotient_ring.html">QuotientRing</a>&lt; T &gt; &amp;rhs) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_abstract_ringa8" doxytag="QuotientRing::Divide"></a>virtual const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Divide</b> (const Element &amp;a, const Element &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_euclidean_domain_ofa18" doxytag="QuotientRing::Exponentiate"></a>virtual Element&nbsp;</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" nowrap align=right valign=top><a name="_euclidean_domain_ofa19" doxytag="QuotientRing::CascadeExponentiate"></a>virtual Element&nbsp;</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" nowrap align=right valign=top><a name="_euclidean_domain_ofa20" doxytag="QuotientRing::SimultaneousExponentiate"></a>virtual void&nbsp;</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" nowrap align=right valign=top><a name="_euclidean_domain_ofa21" doxytag="QuotientRing::MultiplicativeGroup"></a>virtual const <a class="el" href="class_abstract_group.html">AbstractGroup</a>&lt;<br> T::Element &gt; &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>MultiplicativeGroup</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_euclidean_domain_ofa22" doxytag="QuotientRing::InversionIsFast"></a>virtual bool&nbsp;</td><td class="memItemRight" valign=bottom><b>InversionIsFast</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_euclidean_domain_ofa23" doxytag="QuotientRing::ScalarMultiply"></a>virtual Element&nbsp;</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" nowrap align=right valign=top><a name="_euclidean_domain_ofa24" doxytag="QuotientRing::CascadeScalarMultiply"></a>virtual Element&nbsp;</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" nowrap align=right valign=top><a name="_euclidean_domain_ofa25" doxytag="QuotientRing::SimultaneousMultiply"></a>virtual void&nbsp;</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><tr><td colspan=2><br><h2>Protected Attributes</h2></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringp0" doxytag="QuotientRing::m_domain"></a>EuclideanDomain&nbsp;</td><td class="memItemRight" valign=bottom><b>m_domain</b></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_quotient_ringp1" doxytag="QuotientRing::m_modulus"></a>Element&nbsp;</td><td class="memItemRight" valign=bottom><b>m_modulus</b></td></tr></table><hr>The documentation for this class was generated from the following files:<ul><li><a class="el" href="algebra_8h-source.html">algebra.h</a><li><a class="el" href="algebra_8cpp-source.html">algebra.cpp</a></ul><hr size="1"><address style="align: right;"><small>Generated on Tue Jul 8 23:35:25 2003 for Crypto++ by<a href="http://www.doxygen.org/index.html"><img src="doxygen.png" alt="doxygen" align="middle" border=0 > </a>1.3.2 </small></address></body></html>

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