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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++: ModularArithmetic 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>ModularArithmetic Class Reference</h1><code>#include &lt;<a class="el" href="modarith_8h-source.html">modarith.h</a>&gt;</code><p><p>Inheritance diagram for ModularArithmetic:<p><center><img src="class_modular_arithmetic.png" usemap="#ModularArithmetic_map" border="0" alt=""></center><map name="ModularArithmetic_map"><area href="class_abstract_ring.html" alt="AbstractRing< Integer >" shape="rect" coords="0,56,166,80"><area href="class_abstract_group.html" alt="AbstractGroup< Integer >" shape="rect" coords="0,0,166,24"><area href="class_montgomery_representation.html" alt="MontgomeryRepresentation" shape="rect" coords="0,168,166,192"></map><a href="class_modular_arithmetic-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2><p><p>Definition at line <a class="el" href="modarith_8h-source.html#l00018">18</a> of file <a class="el" href="modarith_8h-source.html">modarith.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="_montgomery_representationw0" doxytag="ModularArithmetic::RandomizationParameter"></a>typedef int&nbsp;</td><td class="memItemRight" valign=bottom><b>RandomizationParameter</b></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationw1" doxytag="ModularArithmetic::Element"></a>typedef <a class="el" href="class_integer.html">Integer</a>&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="_modular_arithmetica0" doxytag="ModularArithmetic::ModularArithmetic"></a>&nbsp;</td><td class="memItemRight" valign=bottom><b>ModularArithmetic</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;modulus=Integer::One())</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_modular_arithmetica1" doxytag="ModularArithmetic::ModularArithmetic"></a>&nbsp;</td><td class="memItemRight" valign=bottom><b>ModularArithmetic</b> (const <a class="el" href="class_modular_arithmetic.html">ModularArithmetic</a> &amp;ma)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_modular_arithmetica2" doxytag="ModularArithmetic::ModularArithmetic"></a>&nbsp;</td><td class="memItemRight" valign=bottom><b>ModularArithmetic</b> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &amp;bt)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_modular_arithmetica3" doxytag="ModularArithmetic::Clone"></a>virtual <a class="el" href="class_modular_arithmetic.html">ModularArithmetic</a> *&nbsp;</td><td class="memItemRight" valign=bottom><b>Clone</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa11" doxytag="ModularArithmetic::DEREncode"></a>void&nbsp;</td><td class="memItemRight" valign=bottom><b>DEREncode</b> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &amp;bt) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa12" doxytag="ModularArithmetic::DEREncodeElement"></a>void&nbsp;</td><td class="memItemRight" valign=bottom><b>DEREncodeElement</b> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &amp;out, const <a class="el" href="class_integer.html">Element</a> &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa13" doxytag="ModularArithmetic::BERDecodeElement"></a>void&nbsp;</td><td class="memItemRight" valign=bottom><b>BERDecodeElement</b> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &amp;in, <a class="el" href="class_integer.html">Element</a> &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa14" doxytag="ModularArithmetic::GetModulus"></a>const <a class="el" href="class_integer.html">Integer</a> &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="_montgomery_representationa15" doxytag="ModularArithmetic::SetModulus"></a>void&nbsp;</td><td class="memItemRight" valign=bottom><b>SetModulus</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;newModulus)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_modular_arithmetica9" doxytag="ModularArithmetic::IsMontgomeryRepresentation"></a>virtual bool&nbsp;</td><td class="memItemRight" valign=bottom><b>IsMontgomeryRepresentation</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_modular_arithmetica10" doxytag="ModularArithmetic::ConvertIn"></a>virtual <a class="el" href="class_integer.html">Integer</a>&nbsp;</td><td class="memItemRight" valign=bottom><b>ConvertIn</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_modular_arithmetica11" doxytag="ModularArithmetic::ConvertOut"></a>virtual <a class="el" href="class_integer.html">Integer</a>&nbsp;</td><td class="memItemRight" valign=bottom><b>ConvertOut</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa16" doxytag="ModularArithmetic::Half"></a>const <a class="el" href="class_integer.html">Integer</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Half</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa17" doxytag="ModularArithmetic::Equal"></a>bool&nbsp;</td><td class="memItemRight" valign=bottom><b>Equal</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa19" doxytag="ModularArithmetic::Identity"></a>const <a class="el" href="class_integer.html">Integer</a> &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="_montgomery_representationa20" doxytag="ModularArithmetic::Add"></a>const <a class="el" href="class_integer.html">Integer</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Add</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa22" doxytag="ModularArithmetic::Accumulate"></a><a class="el" href="class_integer.html">Integer</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Accumulate</b> (<a class="el" href="class_integer.html">Integer</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa24" doxytag="ModularArithmetic::Inverse"></a>const <a class="el" href="class_integer.html">Integer</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Inverse</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa26" doxytag="ModularArithmetic::Subtract"></a>const <a class="el" href="class_integer.html">Integer</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Subtract</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa28" doxytag="ModularArithmetic::Reduce"></a><a class="el" href="class_integer.html">Integer</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Reduce</b> (<a class="el" href="class_integer.html">Integer</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa30" doxytag="ModularArithmetic::Double"></a>const <a class="el" href="class_integer.html">Integer</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Double</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_modular_arithmetica21" doxytag="ModularArithmetic::MultiplicativeIdentity"></a>const <a class="el" href="class_integer.html">Integer</a> &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="_modular_arithmetica22" doxytag="ModularArithmetic::Multiply"></a>const <a class="el" href="class_integer.html">Integer</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Multiply</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_modular_arithmetica23" doxytag="ModularArithmetic::Square"></a>const <a class="el" href="class_integer.html">Integer</a> &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Square</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_montgomery_representationa34" doxytag="ModularArithmetic::IsUnit"></a>bool&nbsp;</td><td class="memItemRight" valign=bottom><b>IsUnit</b> (const <a class="el" href="class_integer.html">Integer</a> &amp;a) const</td></tr>

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