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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++: ecp.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 Page</a> | <a class="qindex" href="namespaces.html">Namespace List</a> | <a class="qindex" href="hierarchy.html">Class Hierarchy</a> | <a class="qindex" href="classes.html">Alphabetical List</a> | <a class="qindex" href="annotated.html">Compound List</a> | <a class="qindex" href="files.html">File List</a> | <a class="qindex" href="namespacemembers.html">Namespace Members</a> | <a class="qindex" href="functions.html">Compound Members</a> | <a class="qindex" href="globals.html">File Members</a></div><h1>ecp.h</h1><div class="fragment"><pre>00001 <span class="preprocessor">#ifndef CRYPTOPP_ECP_H</span>00002 <span class="preprocessor"></span><span class="preprocessor">#define CRYPTOPP_ECP_H</span>00003 <span class="preprocessor"></span>00004 <span class="preprocessor">#include "modarith.h"</span>00005 <span class="preprocessor">#include "eprecomp.h"</span>00006 <span class="preprocessor">#include "smartptr.h"</span>00007 <span class="preprocessor">#include "<a class="code" href="pubkey_8h.html">pubkey.h</a>"</span>00008 00009 NAMESPACE_BEGIN(CryptoPP)00010 00011 <span class="comment">//! Elliptical Curve Point</span><a name="l00012"></a><a class="code" href="struct_e_c_p_point.html">00012</a> <span class="comment"></span><span class="keyword">struct </span>CRYPTOPP_DLL ECPPoint00013 {00014 ECPPoint() : identity(<span class="keyword">true</span>) {}00015 ECPPoint(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &x, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &y)00016 : identity(<span class="keyword">false</span>), x(x), y(y) {}00017 00018 <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> ECPPoint &t)<span class="keyword"> const</span>00019 <span class="keyword"> </span>{<span class="keywordflow">return</span> (identity && t.identity) || (!identity && !t.identity && x==t.x && y==t.y);}00020 <span class="keywordtype">bool</span> operator< (<span class="keyword">const</span> ECPPoint &t)<span class="keyword"> const</span>00021 <span class="keyword"> </span>{<span class="keywordflow">return</span> identity ? !t.identity : (!t.identity && (x<t.x || (x==t.x && y<t.y)));}00022 00023 <span class="keywordtype">bool</span> identity;00024 <a class="code" href="class_integer.html">Integer</a> x, y;00025 };00026 00027 CRYPTOPP_DLL_TEMPLATE_CLASS <a class="code" href="class_abstract_group.html">AbstractGroup<ECPPoint></a>;00028 <span class="comment"></span>00029 <span class="comment">//! Elliptic Curve over GF(p), where p is prime</span><a name="l00030"></a><a class="code" href="class_e_c_p.html">00030</a> <span class="comment"></span><span class="keyword">class </span>CRYPTOPP_DLL ECP : <span class="keyword">public</span> <a class="code" href="class_abstract_group.html">AbstractGroup</a><ECPPoint>00031 {00032 <span class="keyword">public</span>:00033 <span class="keyword">typedef</span> <a class="code" href="class_modular_arithmetic.html">ModularArithmetic</a> <a class="code" href="class_modular_arithmetic.html">Field</a>;00034 <span class="keyword">typedef</span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_integer.html">FieldElement</a>;00035 <span class="keyword">typedef</span> ECPPoint <a class="code" href="struct_e_c_p_point.html">Point</a>;00036 00037 ECP() {}00038 ECP(<span class="keyword">const</span> ECP &ecp, <span class="keywordtype">bool</span> convertToMontgomeryRepresentation = <span class="keyword">false</span>);00039 ECP(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &modulus, <span class="keyword">const</span> <a class="code" href="class_integer.html">FieldElement</a> &a, <span class="keyword">const</span> <a class="code" href="class_integer.html">FieldElement</a> &b)00040 : m_fieldPtr(<span class="keyword">new</span> <a class="code" href="class_modular_arithmetic.html">Field</a>(modulus)), m_a(a.IsNegative() ? modulus+a : a), m_b(b) {}00041 <span class="comment">// construct from BER encoded parameters</span>00042 <span class="comment">// this constructor will decode and extract the the fields fieldID and curve of the sequence ECParameters</span>00043 ECP(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt);00044 00045 <span class="comment">// encode the fields fieldID and curve of the sequence ECParameters</span>00046 <span class="keywordtype">void</span> DEREncode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt) <span class="keyword">const</span>;00047 00048 <span class="keywordtype">bool</span> Equal(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &P, <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &Q) <span class="keyword">const</span>;00049 <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a>& Identity() <span class="keyword">const</span>;00050 <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a>& Inverse(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &P) <span class="keyword">const</span>;00051 <span class="keywordtype">bool</span> InversionIsFast()<span class="keyword"> const </span>{<span class="keywordflow">return</span> <span class="keyword">true</span>;}00052 <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a>& Add(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &P, <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &Q) <span class="keyword">const</span>;00053 <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a>& Double(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &P) <span class="keyword">const</span>;00054 <a class="code" href="struct_e_c_p_point.html">Point</a> ScalarMultiply(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &P, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k) <span class="keyword">const</span>;00055 <a class="code" href="struct_e_c_p_point.html">Point</a> CascadeScalarMultiply(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &P, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k1, <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &Q, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k2) <span class="keyword">const</span>;00056 <span class="keywordtype">void</span> SimultaneousMultiply(<a class="code" href="struct_e_c_p_point.html">Point</a> *results, <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &base, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> *exponents, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> exponentsCount) <span class="keyword">const</span>;00057 00058 <a class="code" href="struct_e_c_p_point.html">Point</a> Multiply(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k, <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &P)<span class="keyword"> const</span>00059 <span class="keyword"> </span>{<span class="keywordflow">return</span> ScalarMultiply(P, k);}00060 <a class="code" href="struct_e_c_p_point.html">Point</a> CascadeMultiply(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k1, <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &P, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k2, <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Point</a> &Q)<span class="keyword"> const</span>00061 <span class="keyword"> </span>{<span class="keywordflow">return</span> CascadeScalarMultiply(P, k1, Q, k2);}00062 00063 <span class="keywordtype">bool</span> ValidateParameters(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level=3) <span class="keyword">const</span>;⌨️ 快捷键说明
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