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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++: xtr.h Source File</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>xtr.h</h1><a href="xtr_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre>00001 <span class="preprocessor">#ifndef CRYPTOPP_XTR_H</span>00002 <span class="preprocessor"></span><span class="preprocessor">#define CRYPTOPP_XTR_H</span>00003 <span class="preprocessor"></span><span class="comment"></span>00004 <span class="comment">/** \file</span>00005 <span class="comment">        "The XTR public key system" by Arjen K. Lenstra and Eric R. Verheul</span>00006 <span class="comment">*/</span>00007 00008 <span class="preprocessor">#include "modarith.h"</span>00009 00010 NAMESPACE_BEGIN(CryptoPP)00011 00012 <span class="comment">//! an element of GF(p^2)</span><a name="l00013"></a><a class="code" href="class_g_f_p2_element.html">00013</a> <span class="comment"></span><span class="keyword">class </span><a class="code" href="class_g_f_p2_element.html">GFP2Element</a>00014 {00015 <span class="keyword">public</span>:00016         <a class="code" href="class_g_f_p2_element.html">GFP2Element</a>() {}00017         <a class="code" href="class_g_f_p2_element.html">GFP2Element</a>(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &amp;c1, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &amp;c2) : c1(c1), c2(c2) {}00018         <a class="code" href="class_g_f_p2_element.html">GFP2Element</a>(<span class="keyword">const</span> byte *encodedElement, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size)00019                 : c1(encodedElement, size/2), c2(encodedElement+size/2, size/2) {}00020 00021         <span class="keywordtype">void</span> Encode(byte *encodedElement, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size)00022         {00023                 c1.<a class="code" href="class_integer.html#_integerz39_1">Encode</a>(encodedElement, size/2);00024                 c2.<a class="code" href="class_integer.html#_integerz39_1">Encode</a>(encodedElement+size/2, size/2);00025         }00026 00027         <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> &amp;rhs)<span class="keyword"> const </span>{<span class="keywordflow">return</span> c1 == rhs.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento0">c1</a> &amp;&amp; c2 == rhs.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento1">c2</a>;}00028         <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> &amp;rhs)<span class="keyword"> const </span>{<span class="keywordflow">return</span> !operator==(rhs);}00029 00030         <span class="keywordtype">void</span> swap(<a class="code" href="class_g_f_p2_element.html">GFP2Element</a> &amp;a)00031         {00032                 c1.<a class="code" href="class_integer.html#_integerz43_20">swap</a>(a.c1);00033                 c2.<a class="code" href="class_integer.html#_integerz43_20">swap</a>(a.c2);00034         }00035 00036         <span class="keyword">static</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> &amp; Zero();00037 00038         <a class="code" href="class_integer.html">Integer</a> c1, c2;00039 };00040 <span class="comment"></span>00041 <span class="comment">//! GF(p^2), optimal normal basis</span>00042 <span class="comment"></span><span class="keyword">template</span> &lt;<span class="keyword">class</span> F&gt;<a name="l00043"></a><a class="code" href="class_g_f_p2___o_n_b.html">00043</a> <span class="keyword">class </span><a class="code" href="class_g_f_p2___o_n_b.html">GFP2_ONB</a> : <span class="keyword">public</span> <a class="code" href="class_abstract_ring.html">AbstractRing</a>&lt;GFP2Element&gt;00044 {00045 <span class="keyword">public</span>:00046         <span class="keyword">typedef</span> F BaseField;00047 00048         <a class="code" href="class_g_f_p2___o_n_b.html">GFP2_ONB</a>(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &amp;p) : modp(p)00049         {00050                 <span class="keywordflow">if</span> (p%3 != 2)00051                         <span class="keywordflow">throw</span> <a class="code" href="class_invalid_argument.html">InvalidArgument</a>(<span class="stringliteral">"GFP2_ONB: modulus must be equivalent to 2 mod 3"</span>);00052         }00053 00054         <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>&amp; GetModulus()<span class="keyword"> const </span>{<span class="keywordflow">return</span> modp.GetModulus();}00055 00056         <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> ConvertIn(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &amp;a)<span class="keyword"> const</span>00057 <span class="keyword">        </span>{00058                 t = modp.Inverse(modp.ConvertIn(a));00059                 <span class="keywordflow">return</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a>(t, t);00060         }00061 00062         <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> ConvertIn(<span class="keyword">const</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> &amp;a)<span class="keyword"> const</span>00063 <span class="keyword">                </span>{<span class="keywordflow">return</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a>(modp.ConvertIn(a.c1), modp.ConvertIn(a.c2));}00064 00065         <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> ConvertOut(<span class="keyword">const</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> &amp;a)<span class="keyword"> const</span>00066 <span class="keyword">                </span>{<span class="keywordflow">return</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a>(modp.ConvertOut(a.c1), modp.ConvertOut(a.c2));}00067 00068         <span class="keywordtype">bool</span> Equal(<span class="keyword">const</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> &amp;a, <span class="keyword">const</span> <a class="code" href="class_g_f_p2_element.html">GFP2Element</a> &amp;b)<span class="keyword"> const</span>00069 <span class="keyword">        </span>{00070                 <span class="keywordflow">return</span> modp.Equal(a.c1, b.c1) &amp;&amp; modp.Equal(a.c2, b.c2);00071         }00072 00073         <span class="keyword">const</span> Element&amp; Identity()<span class="keyword"> const</span>00074 <span class="keyword">        </span>{00075                 <span class="keywordflow">return</span> GFP2Element::Zero();00076         }00077 00078         <span class="keyword">const</span> Element&amp; Add(<span class="keyword">const</span> Element &amp;a, <span class="keyword">const</span> Element &amp;b)<span class="keyword"> const</span>00079 <span class="keyword">        </span>{00080                 result.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento0">c1</a> = modp.Add(a.c1, b.c1);00081                 result.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento1">c2</a> = modp.Add(a.c2, b.c2);00082                 <span class="keywordflow">return</span> result;00083         }00084 00085         <span class="keyword">const</span> Element&amp; Inverse(<span class="keyword">const</span> Element &amp;a)<span class="keyword"> const</span>00086 <span class="keyword">        </span>{00087                 result.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento0">c1</a> = modp.Inverse(a.c1);00088                 result.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento1">c2</a> = modp.Inverse(a.c2);00089                 <span class="keywordflow">return</span> result;00090         }00091 00092         <span class="keyword">const</span> Element&amp; Double(<span class="keyword">const</span> Element &amp;a)<span class="keyword"> const</span>00093 <span class="keyword">        </span>{00094                 result.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento0">c1</a> = modp.Double(a.c1);00095                 result.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento1">c2</a> = modp.Double(a.c2);00096                 <span class="keywordflow">return</span> result;00097         }00098 00099         <span class="keyword">const</span> Element&amp; Subtract(<span class="keyword">const</span> Element &amp;a, <span class="keyword">const</span> Element &amp;b)<span class="keyword"> const</span>00100 <span class="keyword">        </span>{00101                 result.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento0">c1</a> = modp.Subtract(a.c1, b.c1);00102                 result.<a class="code" href="class_g_f_p2_element.html#_g_f_p2_elemento1">c2</a> = modp.Subtract(a.c2, b.c2);00103                 <span class="keywordflow">return</span> result;00104         }00105 00106         Element&amp; Accumulate(Element &amp;a, <span class="keyword">const</span> Element &amp;b)<span class="keyword"> const</span>00107 <span class="keyword">        </span>{00108                 modp.Accumulate(a.c1, b.c1);

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