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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"><html><head><meta http-equiv="Content-Type" content="text/html;charset=UTF-8"><title>Crypto++: algebra.h Source File</title><link href="doxygen.css" rel="stylesheet" type="text/css"><link href="tabs.css" rel="stylesheet" type="text/css"></head><body><!-- Generated by Doxygen 1.5.2 --><div class="tabs"> <ul> <li><a href="index.html"><span>Main Page</span></a></li> <li><a href="namespaces.html"><span>Namespaces</span></a></li> <li><a href="classes.html"><span>Classes</span></a></li> <li class="current"><a href="files.html"><span>Files</span></a></li> </ul></div><div class="tabs"> <ul> <li><a href="files.html"><span>File List</span></a></li> <li><a href="globals.html"><span>File Members</span></a></li> </ul></div><h1>algebra.h</h1><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="preprocessor">#ifndef CRYPTOPP_ALGEBRA_H</span><a name="l00002"></a>00002 <span class="preprocessor"></span><span class="preprocessor">#define CRYPTOPP_ALGEBRA_H</span><a name="l00003"></a>00003 <span class="preprocessor"></span><a name="l00004"></a>00004 <span class="preprocessor">#include "config.h"</span><a name="l00005"></a>00005 <a name="l00006"></a>00006 NAMESPACE_BEGIN(CryptoPP)<a name="l00007"></a>00007 <a name="l00008"></a>00008 class <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a>;<a name="l00009"></a>00009 <a name="l00010"></a>00010 <span class="comment">// "const Element&" returned by member functions are references</span><a name="l00011"></a>00011 <span class="comment">// to internal data members. Since each object may have only</span><a name="l00012"></a>00012 <span class="comment">// one such data member for holding results, the following code</span><a name="l00013"></a>00013 <span class="comment">// will produce incorrect results:</span><a name="l00014"></a>00014 <span class="comment">// abcd = group.Add(group.Add(a,b), group.Add(c,d));</span><a name="l00015"></a>00015 <span class="comment">// But this should be fine:</span><a name="l00016"></a>00016 <span class="comment">// abcd = group.Add(a, group.Add(b, group.Add(c,d));</span><a name="l00017"></a>00017 <span class="comment"></span><a name="l00018"></a>00018 <span class="comment">//! Abstract Group</span><a name="l00019"></a><a class="code" href="class_abstract_group.html">00019</a> <span class="comment"></span>template <class T> class CRYPTOPP_NO_VTABLE <a class="code" href="class_abstract_group.html" title="Abstract Group.">AbstractGroup</a><a name="l00020"></a>00020 {<a name="l00021"></a>00021 <span class="keyword">public</span>:<a name="l00022"></a><a class="code" href="class_abstract_group.html#4a2b3308fb5c13f70fcc5746be52ba7b">00022</a> <span class="keyword">typedef</span> T Element;<a name="l00023"></a>00023 <a name="l00024"></a><a class="code" href="class_abstract_group.html#15ec43995b991cdb5bb6d82f8b498cfd">00024</a> <span class="keyword">virtual</span> ~AbstractGroup() {}<a name="l00025"></a>00025 <a name="l00026"></a>00026 <span class="keyword">virtual</span> <span class="keywordtype">bool</span> Equal(<span class="keyword">const</span> Element &a, <span class="keyword">const</span> Element &b) <span class="keyword">const</span> =0;<a name="l00027"></a>00027 <span class="keyword">virtual</span> <span class="keyword">const</span> Element& Identity() <span class="keyword">const</span> =0;<a name="l00028"></a>00028 <span class="keyword">virtual</span> <span class="keyword">const</span> Element& Add(<span class="keyword">const</span> Element &a, <span class="keyword">const</span> Element &b) <span class="keyword">const</span> =0;<a name="l00029"></a>00029 <span class="keyword">virtual</span> <span class="keyword">const</span> Element& Inverse(<span class="keyword">const</span> Element &a) <span class="keyword">const</span> =0;<a name="l00030"></a><a class="code" href="class_abstract_group.html#257836994abefe25b80293f4c6b10f60">00030</a> <span class="keyword">virtual</span> <span class="keywordtype">bool</span> InversionIsFast()<span class="keyword"> const </span>{<span class="keywordflow">return</span> <span class="keyword">false</span>;}<a name="l00031"></a>00031 <a name="l00032"></a>00032 <span class="keyword">virtual</span> <span class="keyword">const</span> Element& Double(<span class="keyword">const</span> Element &a) <span class="keyword">const</span>;<a name="l00033"></a>00033 <span class="keyword">virtual</span> <span class="keyword">const</span> Element& Subtract(<span class="keyword">const</span> Element &a, <span class="keyword">const</span> Element &b) <span class="keyword">const</span>;<a name="l00034"></a>00034 <span class="keyword">virtual</span> Element& Accumulate(Element &a, <span class="keyword">const</span> Element &b) <span class="keyword">const</span>;<a name="l00035"></a>00035 <span class="keyword">virtual</span> Element& Reduce(Element &a, <span class="keyword">const</span> Element &b) <span class="keyword">const</span>;<a name="l00036"></a>00036 <a name="l00037"></a>00037 <span class="keyword">virtual</span> Element ScalarMultiply(<span class="keyword">const</span> Element &a, <span class="keyword">const</span> Integer &e) <span class="keyword">const</span>;<a name="l00038"></a>00038 <span class="keyword">virtual</span> Element CascadeScalarMultiply(<span class="keyword">const</span> Element &x, <span class="keyword">const</span> Integer &e1, <span class="keyword">const</span> Element &y, <span class="keyword">const</span> Integer &e2) <span class="keyword">const</span>;<a name="l00039"></a>00039 <a name="l00040"></a>00040 <span class="keyword">virtual</span> <span class="keywordtype">void</span> SimultaneousMultiply(Element *results, <span class="keyword">const</span> Element &base, <span class="keyword">const</span> Integer *exponents, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> exponentsCount) <span class="keyword">const</span>;<a name="l00041"></a>00041 };<a name="l00042"></a>00042 <span class="comment"></span><a name="l00043"></a>00043 <span class="comment">//! Abstract Ring</span><a name="l00044"></a><a class="code" href="class_abstract_ring.html">00044</a> <span class="comment"></span><span class="keyword">template</span> <<span class="keyword">class</span> T> <span class="keyword">class </span>CRYPTOPP_NO_VTABLE <a class="code" href="class_abstract_ring.html" title="Abstract Ring.">AbstractRing</a> : <span class="keyword">public</span> <a class="code" href="class_abstract_group.html" title="Abstract Group.">AbstractGroup</a><T><a name="l00045"></a>00045 {<a name="l00046"></a>00046 <span class="keyword">public</span>:<a name="l00047"></a><a class="code" href="class_abstract_ring.html#cd93e8ce4e2897173310c68fcb60f3e9">00047</a> <span class="keyword">typedef</span> T Element;<a name="l00048"></a>00048 <a name="l00049"></a><a class="code" href="class_abstract_ring.html#e55c525c1aa75bf898907bd6949e2b64">00049</a> <a class="code" href="class_abstract_ring.html" title="Abstract Ring.">AbstractRing</a>() {m_mg.m_pRing = <span class="keyword">this</span>;}<a name="l00050"></a><a class="code" href="class_abstract_ring.html#cc8afd5ce95e32e45d3c30a710bf36dc">00050</a> <a class="code" href="class_abstract_ring.html" title="Abstract Ring.">AbstractRing</a>(<span class="keyword">const</span> <a class="code" href="class_abstract_ring.html" title="Abstract Ring.">AbstractRing</a> &source) {m_mg.m_pRing = <span class="keyword">this</span>;}<a name="l00051"></a><a class="code" href="class_abstract_ring.html#26709c02c869d09d756653ae1129f8a9">00051</a> <a class="code" href="class_abstract_ring.html" title="Abstract Ring.">AbstractRing</a>& operator=(<span class="keyword">const</span> <a class="code" href="class_abstract_ring.html" title="Abstract Ring.">AbstractRing</a> &source) {<span class="keywordflow">return</span> *<span class="keyword">this</span>;}<a name="l00052"></a>00052 <a name="l00053"></a>00053 <span class="keyword">virtual</span> <span class="keywordtype">bool</span> IsUnit(<span class="keyword">const</span> Element &a) <span class="keyword">const</span> =0;<a name="l00054"></a>00054 <span class="keyword">virtual</span> <span class="keyword">const</span> Element& MultiplicativeIdentity() <span class="keyword">const</span> =0;<a name="l00055"></a>00055 <span class="keyword">virtual</span> <span class="keyword">const</span> Element& Multiply(<span class="keyword">const</span> Element &a, <span class="keyword">const</span> Element &b) <span class="keyword">const</span> =0;<a name="l00056"></a>00056 <span class="keyword">virtual</span> <span class="keyword">const</span> Element& MultiplicativeInverse(<span class="keyword">const</span> Element &a) <span class="keyword">const</span> =0;<a name="l00057"></a>00057 ⌨️ 快捷键说明
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