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<div id="projectname">Crypto++
 <span id="projectnumber">7.0</span>
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<div id="projectbrief">Free C++ class library of cryptographic schemes</div>
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<div class="title">ec2n.cpp</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// ec2n.cpp - originally written and placed in the public domain by Wei Dai</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> </div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor">#include "<a class="code" href="pch_8h.html">pch.h</a>"</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> </div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#ifndef CRYPTOPP_IMPORTS</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> </div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#include "<a class="code" href="ec2n_8h.html">ec2n.h</a>"</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#include "<a class="code" href="asn_8h.html">asn.h</a>"</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#include "<a class="code" href="integer_8h.html">integer.h</a>"</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include "<a class="code" href="filters_8h.html">filters.h</a>"</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include "algebra.cpp"</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include "eprecomp.cpp"</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> </div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> NAMESPACE_BEGIN(<a class="code" href="namespace_crypto_p_p.html">CryptoPP</a>)</div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div><div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a92b1fd124cd5babd51d0886668336b7e"> 16</a></span> <a class="code" href="class_e_c2_n.html">EC2N</a>::<a class="code" href="class_e_c2_n.html">EC2N</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  : m_field(BERDecodeGF2NP(bt))</div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> {</div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  <a class="code" href="class_b_e_r_sequence_decoder.html">BERSequenceDecoder</a> seq(bt);</div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  m_field->BERDecodeElement(seq, m_a);</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  m_field->BERDecodeElement(seq, m_b);</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="comment">// skip optional seed</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keywordflow">if</span> (!seq.EndReached())</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  {</div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <a class="code" href="class_sec_byte_block.html">SecByteBlock</a> seed;</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> unused;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <a class="code" href="asn_8h.html#a252e264da8417ec0a4a7c45d93a615ee">BERDecodeBitString</a>(seq, seed, unused);</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  }</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  seq.MessageEnd();</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> }</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div><div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#aab4a41edbdf941f924d137b4a90c7fb8"> 32</a></span> <span class="keywordtype">void</span> <a class="code" href="class_e_c2_n.html#aab4a41edbdf941f924d137b4a90c7fb8">EC2N::DEREncode</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)<span class="keyword"> const</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword"></span>{</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  m_field->DEREncode(bt);</div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="class_d_e_r_sequence_encoder.html">DERSequenceEncoder</a> seq(bt);</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  m_field->DEREncodeElement(seq, m_a);</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  m_field->DEREncodeElement(seq, m_b);</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  seq.MessageEnd();</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> }</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a17e4228b2569a376ac29e819f09d48e3"> 41</a></span> <span class="keywordtype">bool</span> <a class="code" href="class_e_c2_n.html#a7c244fdd81f249281a67bfea84e4c091">EC2N::DecodePoint</a>(<a class="code" href="struct_e_c2_n_point.html">EC2N::Point</a> &P, <span class="keyword">const</span> <span class="keywordtype">byte</span> *encodedPoint, <span class="keywordtype">size_t</span> encodedPointLen)<span class="keyword"> const</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="keyword"></span>{</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="class_string_store.html">StringStore</a> store(encodedPoint, encodedPointLen);</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> <a class="code" href="class_e_c2_n.html#a7c244fdd81f249281a67bfea84e4c091">DecodePoint</a>(P, store, encodedPointLen);</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> }</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div><div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a7c244fdd81f249281a67bfea84e4c091"> 47</a></span> <span class="keywordtype">bool</span> <a class="code" href="class_e_c2_n.html#a7c244fdd81f249281a67bfea84e4c091">EC2N::DecodePoint</a>(<a class="code" href="struct_e_c2_n_point.html">EC2N::Point</a> &P, <a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keywordtype">size_t</span> encodedPointLen)<span class="keyword"> const</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="keyword"></span>{</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordtype">byte</span> type;</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">if</span> (encodedPointLen < 1 || !bt.<a class="code" href="class_buffered_transformation.html#a9e1ad913c8fe697d269f408a7d5928fc">Get</a>(type))</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">switch</span> (type)</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  {</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  P.identity = <span class="keyword">true</span>;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">case</span> 2:</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">case</span> 3:</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  {</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">if</span> (encodedPointLen != <a class="code" href="class_e_c2_n.html#a71680f7f6eea66010f1dc40659610d60">EncodedPointSize</a>(<span class="keyword">true</span>))</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  P.identity = <span class="keyword">false</span>;</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  P.x.Decode(bt, m_field->MaxElementByteLength());</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">if</span> (P.x.IsZero())</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  {</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  P.y = m_field->SquareRoot(m_b);</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  FieldElement z = m_field->Square(P.x);</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(P.x == m_field->SquareRoot(z));</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  P.y = m_field->Divide(m_field->Add(m_field->Multiply(z, m_field->Add(P.x, m_a)), m_b), z);</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(P.x == m_field->Subtract(m_field->Divide(m_field->Subtract(m_field->Multiply(P.y, z), m_b), z), m_a));</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  z = m_field->SolveQuadraticEquation(P.y);</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(m_field->Add(m_field->Square(z), z) == P.y);</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  z.SetCoefficient(0, type & 1);</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  P.y = m_field->Multiply(z, P.x);</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">case</span> 4:</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  {</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">if</span> (encodedPointLen != <a class="code" href="class_e_c2_n.html#a71680f7f6eea66010f1dc40659610d60">EncodedPointSize</a>(<span class="keyword">false</span>))</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> len = m_field->MaxElementByteLength();</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  P.identity = <span class="keyword">false</span>;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  P.x.Decode(bt, len);</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  P.y.Decode(bt, len);</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  }</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">default</span>:</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> }</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span> </div><div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a4e3e18dc003d0fa86c8e9dfdbef5f7f7"> 100</a></span> <span class="keywordtype">void</span> <a class="code" href="class_e_c2_n.html#a8ffdc5f8cdb1381d9ffd81c4c5eddc45">EC2N::EncodePoint</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &P, <span class="keywordtype">bool</span> compressed)<span class="keyword"> const</span></div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="keyword"></span>{</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">if</span> (P.identity)</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="class_null_store.html">NullStore</a>().<a class="code" href="class_buffered_transformation.html#ac31ac5d2da7897fb097086496b85e6f5">TransferTo</a>(bt, <a class="code" href="class_e_c2_n.html#a71680f7f6eea66010f1dc40659610d60">EncodedPointSize</a>(compressed));</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (compressed)</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  {</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  bt.<a class="code" href="class_buffered_transformation.html#ae70658b0d271f8e114ac6c3cc9774ede">Put</a>(2 + (!P.x ? 0 : m_field->Divide(P.y, P.x).GetBit(0)));</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  P.x.Encode(bt, m_field->MaxElementByteLength());</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">else</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  {</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> len = m_field->MaxElementByteLength();</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  bt.<a class="code" href="class_buffered_transformation.html#ae70658b0d271f8e114ac6c3cc9774ede">Put</a>(4); <span class="comment">// uncompressed</span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  P.x.Encode(bt, len);</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  P.y.Encode(bt, len);</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  }</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> }</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> </div><div class="line"><a name="l00118"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a8ffdc5f8cdb1381d9ffd81c4c5eddc45"> 118</a></span> <span class="keywordtype">void</span> <a class="code" href="class_e_c2_n.html#a8ffdc5f8cdb1381d9ffd81c4c5eddc45">EC2N::EncodePoint</a>(<span class="keywordtype">byte</span> *encodedPoint, <span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &P, <span class="keywordtype">bool</span> compressed)<span class="keyword"> const</span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="keyword"></span>{</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <a class="code" href="class_array_sink.html">ArraySink</a> sink(encodedPoint, <a class="code" href="class_e_c2_n.html#a71680f7f6eea66010f1dc40659610d60">EncodedPointSize</a>(compressed));</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="class_e_c2_n.html#a8ffdc5f8cdb1381d9ffd81c4c5eddc45">EncodePoint</a>(sink, P, compressed);</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(sink.<a class="code" href="class_array_sink.html#a36374569bfaf3711c3a7a306a46ea6d9">TotalPutLength</a>() == <a class="code" href="class_e_c2_n.html#a71680f7f6eea66010f1dc40659610d60">EncodedPointSize</a>(compressed));</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> }</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> </div><div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a56d25734e2f1cfa209d16ebba4fa30a2"> 125</a></span> <a class="code" href="struct_e_c2_n_point.html">EC2N::Point</a> <a class="code" href="class_e_c2_n.html#a56d25734e2f1cfa209d16ebba4fa30a2">EC2N::BERDecodePoint</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)<span class="keyword"> const</span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="keyword"></span>{</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="class_sec_byte_block.html">SecByteBlock</a> str;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="asn_8h.html#a082a9929ebf5c4cf0b15debe5b165ef2">BERDecodeOctetString</a>(bt, str);</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="struct_e_c2_n_point.html">Point</a> P;</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">if</span> (!<a class="code" href="class_e_c2_n.html#a7c244fdd81f249281a67bfea84e4c091">DecodePoint</a>(P, str, str.<a class="code" href="class_sec_block.html#af5999bffe3193e62719cc0792b0282a7">size</a>()))</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="asn_8h.html#afaf6b517352dfdaa7cc68ccb8396cba5">BERDecodeError</a>();</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">return</span> P;</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span> }</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div><div class="line"><a name="l00135"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a87014b233eb62e3da8ad79f98200959c"> 135</a></span> <span class="keywordtype">void</span> <a class="code" href="class_e_c2_n.html#a87014b233eb62e3da8ad79f98200959c">EC2N::DEREncodePoint</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &P, <span class="keywordtype">bool</span> compressed)<span class="keyword"> const</span></div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="keyword"></span>{</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="class_sec_byte_block.html">SecByteBlock</a> str(<a class="code" href="class_e_c2_n.html#a71680f7f6eea66010f1dc40659610d60">EncodedPointSize</a>(compressed));</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="class_e_c2_n.html#a8ffdc5f8cdb1381d9ffd81c4c5eddc45">EncodePoint</a>(str, P, compressed);</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="asn_8h.html#aa76c4e20f2b57097c794199472c53e23">DEREncodeOctetString</a>(bt, str);</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span> }</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="keywordtype">bool</span> EC2N::ValidateParameters(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level)<span class="keyword"> const</span></div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="keyword"></span>{</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  CRYPTOPP_UNUSED(rng);</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordtype">bool</span> pass = !!m_b;</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  pass = pass && m_a.CoefficientCount() <= m_field->MaxElementBitLength();</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  pass = pass && m_b.CoefficientCount() <= m_field->MaxElementBitLength();</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span> </div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordflow">if</span> (level >= 1)</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  pass = pass && m_field->GetModulus().IsIrreducible();</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordflow">return</span> pass;</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span> }</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div><div class="line"><a name="l00155"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a3a5ffe29e9a1edc881319245608effde"> 155</a></span> <span class="keywordtype">bool</span> <a class="code" href="class_e_c2_n.html#a3a5ffe29e9a1edc881319245608effde">EC2N::VerifyPoint</a>(<span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &P)<span class="keyword"> const</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="keyword"></span>{</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">const</span> FieldElement &x = P.x, &y = P.y;</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">return</span> P.identity ||</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  (x.CoefficientCount() <= m_field->MaxElementBitLength()</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  && y.CoefficientCount() <= m_field->MaxElementBitLength()</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  && !(((x+m_a)*x*x+m_b-(x+y)*y)%m_field->GetModulus()));</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span> }</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div><div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a7488f2612e1fea76b6e74a2be66e9ec3"> 164</a></span> <span class="keywordtype">bool</span> <a class="code" href="class_e_c2_n.html#a7488f2612e1fea76b6e74a2be66e9ec3">EC2N::Equal</a>(<span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &P, <span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &Q)<span class="keyword"> const</span></div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="keyword"></span>{</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordflow">if</span> (P.identity && Q.identity)</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span> </div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">if</span> (P.identity && !Q.identity)</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span> </div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">if</span> (!P.identity && Q.identity)</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">return</span> (m_field->Equal(P.x,Q.x) && m_field->Equal(P.y,Q.y));</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span> }</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div><div class="line"><a name="l00178"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a57b7b1ad3cc32c727d1d132ca2f2210f"> 178</a></span> <span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">EC2N::Point</a>& <a class="code" href="class_e_c2_n.html#a57b7b1ad3cc32c727d1d132ca2f2210f">EC2N::Identity</a>()<span class="keyword"> const</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="keyword"></span>{</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keywordflow">return</span> <a class="code" href="class_singleton.html">Singleton<Point></a>().<a class="code" href="class_singleton.html#a2dfafdfafaaf20ca4cfc550125f6332d">Ref</a>();</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span> }</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span> </div><div class="line"><a name="l00183"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a0d0d8011f94bbc74800afd638d1986b1"> 183</a></span> <span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">EC2N::Point</a>& <a class="code" href="class_e_c2_n.html#a0d0d8011f94bbc74800afd638d1986b1">EC2N::Inverse</a>(<span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &P)<span class="keyword"> const</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="keyword"></span>{</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordflow">if</span> (P.identity)</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">return</span> P;</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">else</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  {</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  m_R.identity = <span class="keyword">false</span>;</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  m_R.y = m_field->Add(P.x, P.y);</div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  m_R.x = P.x;</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">return</span> m_R;</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  }</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span> }</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span> </div><div class="line"><a name="l00196"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a84c0a46b7540a13a0c1ba0d78c50265f"> 196</a></span> <span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">EC2N::Point</a>& <a class="code" href="class_e_c2_n.html#a84c0a46b7540a13a0c1ba0d78c50265f">EC2N::Add</a>(<span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &P, <span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &Q)<span class="keyword"> const</span></div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="keyword"></span>{</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">if</span> (P.identity) <span class="keywordflow">return</span> Q;</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">if</span> (Q.identity) <span class="keywordflow">return</span> P;</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordflow">if</span> (<a class="code" href="class_e_c2_n.html#a7488f2612e1fea76b6e74a2be66e9ec3">Equal</a>(P, Q)) <span class="keywordflow">return</span> <a class="code" href="class_e_c2_n.html#a88f8a86a94bdf8c1c11104becdd0af82">Double</a>(P);</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keywordflow">if</span> (m_field->Equal(P.x, Q.x) && m_field->Equal(P.y, m_field->Add(Q.x, Q.y))) <span class="keywordflow">return</span> <a class="code" href="class_e_c2_n.html#a57b7b1ad3cc32c727d1d132ca2f2210f">Identity</a>();</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span> </div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  FieldElement t = m_field->Add(P.y, Q.y);</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  t = m_field->Divide(t, m_field->Add(P.x, Q.x));</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  FieldElement x = m_field->Square(t);</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  m_field->Accumulate(x, t);</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  m_field->Accumulate(x, Q.x);</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  m_field->Accumulate(x, m_a);</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  m_R.y = m_field->Add(P.y, m_field->Multiply(t, x));</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  m_field->Accumulate(x, P.x);</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  m_field->Accumulate(m_R.y, x);</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span> </div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  m_R.x.swap(x);</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  m_R.identity = <span class="keyword">false</span>;</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">return</span> m_R;</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span> }</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div><div class="line"><a name="l00218"></a><span class="lineno"><a class="line" href="class_e_c2_n.html#a88f8a86a94bdf8c1c11104becdd0af82"> 218</a></span> <span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">EC2N::Point</a>& <a class="code" href="class_e_c2_n.html#a88f8a86a94bdf8c1c11104becdd0af82">EC2N::Double</a>(<span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">Point</a> &P)<span class="keyword"> const</span></div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="keyword"></span>{</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">if</span> (P.identity) <span class="keywordflow">return</span> P;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keywordflow">if</span> (!m_field->IsUnit(P.x)) <span class="keywordflow">return</span> <a class="code" href="class_e_c2_n.html#a57b7b1ad3cc32c727d1d132ca2f2210f">Identity</a>();</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  FieldElement t = m_field->Divide(P.y, P.x);</div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  m_field->Accumulate(t, P.x);</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  m_R.y = m_field->Square(P.x);</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  m_R.x = m_field->Square(t);</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  m_field->Accumulate(m_R.x, t);</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  m_field->Accumulate(m_R.x, m_a);</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  m_field->Accumulate(m_R.y, m_field->Multiply(t, m_R.x));</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  m_field->Accumulate(m_R.y, m_R.x);</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span> </div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  m_R.identity = <span class="keyword">false</span>;</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">return</span> m_R;</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span> }</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="comment">// ********************************************************</span></div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span> </div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="comment">/*</span></div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span> <span class="comment">EcPrecomputation<EC2N>& EcPrecomputation<EC2N>::operator=(const EcPrecomputation<EC2N> &rhs)</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="comment">{</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="comment"> m_ec = rhs.m_ec;</span></div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment"> m_ep = rhs.m_ep;</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="comment"> m_ep.m_group = m_ec.get();</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment"> return *this;</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="comment">}</span></div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="comment"></span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="comment">void EcPrecomputation<EC2N>::SetCurveAndBase(const EC2N &ec, const EC2N::Point &base)</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="comment">{</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="comment"> m_ec.reset(new EC2N(ec));</span></div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="comment"> m_ep.SetGroupAndBase(*m_ec, base);</span></div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="comment">}</span></div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="comment"></span></div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="comment">void EcPrecomputation<EC2N>::Precompute(unsigned int maxExpBits, unsigned int storage)</span></div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="comment">{</span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="comment"> m_ep.Precompute(maxExpBits, storage);</span></div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span> <span class="comment">}</span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span> <span class="comment"></span></div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span> <span class="comment">void EcPrecomputation<EC2N>::Load(BufferedTransformation &bt)</span></div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="comment">{</span></div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="comment"> BERSequenceDecoder seq(bt);</span></div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="comment"> word32 version;</span></div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="comment"> BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);</span></div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="comment"> m_ep.m_exponentBase.BERDecode(seq);</span></div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="comment"> m_ep.m_windowSize = m_ep.m_exponentBase.BitCount() - 1;</span></div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment"> m_ep.m_bases.clear();</span></div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment"> while (!seq.EndReached())</span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment"> m_ep.m_bases.push_back(m_ec->BERDecodePoint(seq));</span></div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment"> seq.MessageEnd();</span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="comment">}</span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment"></span></div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="comment">void EcPrecomputation<EC2N>::Save(BufferedTransformation &bt) const</span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="comment">{</span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="comment"> DERSequenceEncoder seq(bt);</span></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="comment"> DEREncodeUnsigned<word32>(seq, 1); // version</span></div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="comment"> m_ep.m_exponentBase.DEREncode(seq);</span></div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="comment"> for (unsigned i=0; i<m_ep.m_bases.size(); i++)</span></div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="comment"> m_ec->DEREncodePoint(seq, m_ep.m_bases[i]);</span></div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="comment"> seq.MessageEnd();</span></div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span> <span class="comment">}</span></div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span> <span class="comment"></span></div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="comment">EC2N::Point EcPrecomputation<EC2N>::Exponentiate(const Integer &exponent) const</span></div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="comment">{</span></div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="comment"> return m_ep.Exponentiate(exponent);</span></div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span> <span class="comment">}</span></div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="comment"></span></div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="comment">EC2N::Point EcPrecomputation<EC2N>::CascadeExponentiate(const Integer &exponent, const DL_FixedBasePrecomputation<Element> &pc2, const Integer &exponent2) const</span></div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="comment">{</span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="comment"> return m_ep.CascadeExponentiate(exponent, static_cast<const EcPrecomputation<EC2N> &>(pc2).m_ep, exponent2);</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="comment">}</span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="comment">*/</span></div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span> </div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span> NAMESPACE_END</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span> </div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="class_e_c2_n_html_a3a5ffe29e9a1edc881319245608effde"><div class="ttname"><a href="class_e_c2_n.html#a3a5ffe29e9a1edc881319245608effde">EC2N::VerifyPoint</a></div><div class="ttdeci">bool VerifyPoint(const Point &P) const</div><div class="ttdoc">Verifies points on elliptic curve.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00155">ec2n.cpp:155</a></div></div>
<div class="ttc" id="class_singleton_html"><div class="ttname"><a href="class_singleton.html">Singleton</a></div><div class="ttdoc">Restricts the instantiation of a class to one static object without locks.</div><div class="ttdef"><b>Definition:</b> <a href="misc_8h_source.html#l00291">misc.h:291</a></div></div>
<div class="ttc" id="class_e_c2_n_html_a71680f7f6eea66010f1dc40659610d60"><div class="ttname"><a href="class_e_c2_n.html#a71680f7f6eea66010f1dc40659610d60">EC2N::EncodedPointSize</a></div><div class="ttdeci">unsigned int EncodedPointSize(bool compressed=false) const</div><div class="ttdoc">Determines encoded point size.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8h_source.html#l00070">ec2n.h:70</a></div></div>
<div class="ttc" id="class_e_c2_n_html_a87014b233eb62e3da8ad79f98200959c"><div class="ttname"><a href="class_e_c2_n.html#a87014b233eb62e3da8ad79f98200959c">EC2N::DEREncodePoint</a></div><div class="ttdeci">void DEREncodePoint(BufferedTransformation &bt, const Point &P, bool compressed) const</div><div class="ttdoc">DER Encodes an elliptic curve point.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00135">ec2n.cpp:135</a></div></div>
<div class="ttc" id="class_random_number_generator_html"><div class="ttname"><a href="class_random_number_generator.html">RandomNumberGenerator</a></div><div class="ttdoc">Interface for random number generators.</div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l01330">cryptlib.h:1330</a></div></div>
<div class="ttc" id="class_sec_byte_block_html"><div class="ttname"><a href="class_sec_byte_block.html">SecByteBlock</a></div><div class="ttdoc">SecBlock<byte> typedef.</div><div class="ttdef"><b>Definition:</b> <a href="secblock_8h_source.html#l00822">secblock.h:822</a></div></div>
<div class="ttc" id="class_e_c2_n_html_a8ffdc5f8cdb1381d9ffd81c4c5eddc45"><div class="ttname"><a href="class_e_c2_n.html#a8ffdc5f8cdb1381d9ffd81c4c5eddc45">EC2N::EncodePoint</a></div><div class="ttdeci">void EncodePoint(byte *encodedPoint, const Point &P, bool compressed) const</div><div class="ttdoc">Encodes an elliptic curve point.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00118">ec2n.cpp:118</a></div></div>
<div class="ttc" id="class_b_e_r_sequence_decoder_html"><div class="ttname"><a href="class_b_e_r_sequence_decoder.html">BERSequenceDecoder</a></div><div class="ttdoc">BER Sequence Decoder.</div><div class="ttdef"><b>Definition:</b> <a href="asn_8h_source.html#l00305">asn.h:305</a></div></div>
<div class="ttc" id="class_buffered_transformation_html"><div class="ttname"><a href="class_buffered_transformation.html">BufferedTransformation</a></div><div class="ttdoc">Interface for buffered transformations.</div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l01545">cryptlib.h:1545</a></div></div>
<div class="ttc" id="ec2n_8h_html"><div class="ttname"><a href="ec2n_8h.html">ec2n.h</a></div><div class="ttdoc">Classes for Elliptic Curves over binary fields.</div></div>
<div class="ttc" id="class_array_sink_html"><div class="ttname"><a href="class_array_sink.html">ArraySink</a></div><div class="ttdoc">Copy input to a memory buffer.</div><div class="ttdef"><b>Definition:</b> <a href="filters_8h_source.html#l01132">filters.h:1132</a></div></div>
<div class="ttc" id="class_null_store_html"><div class="ttname"><a href="class_null_store.html">NullStore</a></div><div class="ttdoc">Empty store.</div><div class="ttdef"><b>Definition:</b> <a href="filters_8h_source.html#l01253">filters.h:1253</a></div></div>
<div class="ttc" id="class_buffered_transformation_html_ac31ac5d2da7897fb097086496b85e6f5"><div class="ttname"><a href="class_buffered_transformation.html#ac31ac5d2da7897fb097086496b85e6f5">BufferedTransformation::TransferTo</a></div><div class="ttdeci">lword TransferTo(BufferedTransformation &target, lword transferMax=LWORD_MAX, const std::string &channel=DEFAULT_CHANNEL)</div><div class="ttdoc">move transferMax bytes of the buffered output to target as input</div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l01848">cryptlib.h:1848</a></div></div>
<div class="ttc" id="class_buffered_transformation_html_ae70658b0d271f8e114ac6c3cc9774ede"><div class="ttname"><a href="class_buffered_transformation.html#ae70658b0d271f8e114ac6c3cc9774ede">BufferedTransformation::Put</a></div><div class="ttdeci">size_t Put(byte inByte, bool blocking=true)</div><div class="ttdoc">Input a byte for processing.</div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l01567">cryptlib.h:1567</a></div></div>
<div class="ttc" id="asn_8h_html_a082a9929ebf5c4cf0b15debe5b165ef2"><div class="ttname"><a href="asn_8h.html#a082a9929ebf5c4cf0b15debe5b165ef2">BERDecodeOctetString</a></div><div class="ttdeci">size_t BERDecodeOctetString(BufferedTransformation &bt, SecByteBlock &str)</div><div class="ttdoc">BER decode octet string.</div><div class="ttdef"><b>Definition:</b> <a href="asn_8cpp_source.html#l00117">asn.cpp:117</a></div></div>
<div class="ttc" id="class_e_c2_n_html_a0d0d8011f94bbc74800afd638d1986b1"><div class="ttname"><a href="class_e_c2_n.html#a0d0d8011f94bbc74800afd638d1986b1">EC2N::Inverse</a></div><div class="ttdeci">const Point & Inverse(const Point &P) const</div><div class="ttdoc">Inverts the element in the group.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00183">ec2n.cpp:183</a></div></div>
<div class="ttc" id="class_e_c2_n_html"><div class="ttname"><a href="class_e_c2_n.html">EC2N</a></div><div class="ttdoc">Elliptic Curve over GF(2^n)</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8h_source.html#l00027">ec2n.h:27</a></div></div>
<div class="ttc" id="pch_8h_html"><div class="ttname"><a href="pch_8h.html">pch.h</a></div><div class="ttdoc">Precompiled header file.</div></div>
<div class="ttc" id="class_e_c2_n_html_a56d25734e2f1cfa209d16ebba4fa30a2"><div class="ttname"><a href="class_e_c2_n.html#a56d25734e2f1cfa209d16ebba4fa30a2">EC2N::BERDecodePoint</a></div><div class="ttdeci">Point BERDecodePoint(BufferedTransformation &bt) const</div><div class="ttdoc">BER Decodes an elliptic curve point.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00125">ec2n.cpp:125</a></div></div>
<div class="ttc" id="class_e_c2_n_html_a57b7b1ad3cc32c727d1d132ca2f2210f"><div class="ttname"><a href="class_e_c2_n.html#a57b7b1ad3cc32c727d1d132ca2f2210f">EC2N::Identity</a></div><div class="ttdeci">const Point & Identity() const</div><div class="ttdoc">Provides the Identity element.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00178">ec2n.cpp:178</a></div></div>
<div class="ttc" id="class_string_store_html"><div class="ttname"><a href="class_string_store.html">StringStore</a></div><div class="ttdoc">String-based implementation of Store interface.</div><div class="ttdef"><b>Definition:</b> <a href="filters_8h_source.html#l01191">filters.h:1191</a></div></div>
<div class="ttc" id="trap_8h_html_adf3b392588bc94cbeae9f415a78c7b95"><div class="ttname"><a href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a></div><div class="ttdeci">#define CRYPTOPP_ASSERT(exp)</div><div class="ttdoc">Debugging and diagnostic assertion.</div><div class="ttdef"><b>Definition:</b> <a href="trap_8h_source.html#l00060">trap.h:60</a></div></div>
<div class="ttc" id="asn_8h_html_afaf6b517352dfdaa7cc68ccb8396cba5"><div class="ttname"><a href="asn_8h.html#afaf6b517352dfdaa7cc68ccb8396cba5">BERDecodeError</a></div><div class="ttdeci">void BERDecodeError()</div><div class="ttdoc">Raises a BERDecodeErr.</div><div class="ttdef"><b>Definition:</b> <a href="asn_8h_source.html#l00069">asn.h:69</a></div></div>
<div class="ttc" id="asn_8h_html"><div class="ttname"><a href="asn_8h.html">asn.h</a></div><div class="ttdoc">Classes and functions for working with ANS.1 objects.</div></div>
<div class="ttc" id="filters_8h_html"><div class="ttname"><a href="filters_8h.html">filters.h</a></div><div class="ttdoc">Implementation of BufferedTransformation's attachment interface.</div></div>
<div class="ttc" id="class_d_e_r_sequence_encoder_html"><div class="ttname"><a href="class_d_e_r_sequence_encoder.html">DERSequenceEncoder</a></div><div class="ttdoc">DER Sequence Encoder.</div><div class="ttdef"><b>Definition:</b> <a href="asn_8h_source.html#l00315">asn.h:315</a></div></div>
<div class="ttc" id="class_e_c2_n_html_a7c244fdd81f249281a67bfea84e4c091"><div class="ttname"><a href="class_e_c2_n.html#a7c244fdd81f249281a67bfea84e4c091">EC2N::DecodePoint</a></div><div class="ttdeci">bool DecodePoint(Point &P, BufferedTransformation &bt, size_t len) const</div><div class="ttdoc">Decodes an elliptic curve point.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00047">ec2n.cpp:47</a></div></div>
<div class="ttc" id="asn_8h_html_aa76c4e20f2b57097c794199472c53e23"><div class="ttname"><a href="asn_8h.html#aa76c4e20f2b57097c794199472c53e23">DEREncodeOctetString</a></div><div class="ttdeci">size_t DEREncodeOctetString(BufferedTransformation &bt, const byte *str, size_t strLen)</div><div class="ttdoc">DER encode octet string.</div><div class="ttdef"><b>Definition:</b> <a href="asn_8cpp_source.html#l00104">asn.cpp:104</a></div></div>
<div class="ttc" id="integer_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div><div class="ttdoc">Multiple precision integer with arithmetic operations.</div></div>
<div class="ttc" id="class_e_c2_n_html_a7488f2612e1fea76b6e74a2be66e9ec3"><div class="ttname"><a href="class_e_c2_n.html#a7488f2612e1fea76b6e74a2be66e9ec3">EC2N::Equal</a></div><div class="ttdeci">bool Equal(const Point &P, const Point &Q) const</div><div class="ttdoc">Compare two elements for equality.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00164">ec2n.cpp:164</a></div></div>
<div class="ttc" id="asn_8h_html_a252e264da8417ec0a4a7c45d93a615ee"><div class="ttname"><a href="asn_8h.html#a252e264da8417ec0a4a7c45d93a615ee">BERDecodeBitString</a></div><div class="ttdeci">size_t BERDecodeBitString(BufferedTransformation &bt, SecByteBlock &str, unsigned int &unusedBits)</div><div class="ttdoc">DER decode bit string.</div><div class="ttdef"><b>Definition:</b> <a href="asn_8cpp_source.html#l00191">asn.cpp:191</a></div></div>
<div class="ttc" id="class_e_c2_n_html_aab4a41edbdf941f924d137b4a90c7fb8"><div class="ttname"><a href="class_e_c2_n.html#aab4a41edbdf941f924d137b4a90c7fb8">EC2N::DEREncode</a></div><div class="ttdeci">void DEREncode(BufferedTransformation &bt) const</div><div class="ttdoc">Encode the fields fieldID and curve of the sequence ECParameters.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00032">ec2n.cpp:32</a></div></div>
<div class="ttc" id="class_buffered_transformation_html_a9e1ad913c8fe697d269f408a7d5928fc"><div class="ttname"><a href="class_buffered_transformation.html#a9e1ad913c8fe697d269f408a7d5928fc">BufferedTransformation::Get</a></div><div class="ttdeci">virtual size_t Get(byte &outByte)</div><div class="ttdoc">Retrieve a 8-bit byte.</div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8cpp_source.html#l00533">cryptlib.cpp:533</a></div></div>
<div class="ttc" id="namespace_crypto_p_p_html"><div class="ttname"><a href="namespace_crypto_p_p.html">CryptoPP</a></div><div class="ttdoc">Crypto++ library namespace.</div></div>
<div class="ttc" id="struct_e_c2_n_point_html"><div class="ttname"><a href="struct_e_c2_n_point.html">EC2NPoint</a></div><div class="ttdoc">Elliptical Curve Point over GF(2^n)</div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00053">ecpoint.h:53</a></div></div>
<div class="ttc" id="class_e_c2_n_html_a84c0a46b7540a13a0c1ba0d78c50265f"><div class="ttname"><a href="class_e_c2_n.html#a84c0a46b7540a13a0c1ba0d78c50265f">EC2N::Add</a></div><div class="ttdeci">const Point & Add(const Point &P, const Point &Q) const</div><div class="ttdoc">Adds elements in the group.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00196">ec2n.cpp:196</a></div></div>
<div class="ttc" id="class_singleton_html_a2dfafdfafaaf20ca4cfc550125f6332d"><div class="ttname"><a href="class_singleton.html#a2dfafdfafaaf20ca4cfc550125f6332d">Singleton::Ref</a></div><div class="ttdeci">const T & Ref(...) const</div><div class="ttdoc">Return a reference to the inner Singleton object.</div><div class="ttdef"><b>Definition:</b> <a href="misc_8h_source.html#l00312">misc.h:312</a></div></div>
<div class="ttc" id="class_sec_block_html_af5999bffe3193e62719cc0792b0282a7"><div class="ttname"><a href="class_sec_block.html#af5999bffe3193e62719cc0792b0282a7">SecBlock::size</a></div><div class="ttdeci">size_type size() const</div><div class="ttdoc">Provides the count of elements in the SecBlock.</div><div class="ttdef"><b>Definition:</b> <a href="secblock_8h_source.html#l00561">secblock.h:561</a></div></div>
<div class="ttc" id="class_array_sink_html_a36374569bfaf3711c3a7a306a46ea6d9"><div class="ttname"><a href="class_array_sink.html#a36374569bfaf3711c3a7a306a46ea6d9">ArraySink::TotalPutLength</a></div><div class="ttdeci">lword TotalPutLength()</div><div class="ttdoc">Provides the number of bytes written to the Sink.</div><div class="ttdef"><b>Definition:</b> <a href="filters_8h_source.html#l01155">filters.h:1155</a></div></div>
<div class="ttc" id="class_e_c2_n_html_a88f8a86a94bdf8c1c11104becdd0af82"><div class="ttname"><a href="class_e_c2_n.html#a88f8a86a94bdf8c1c11104becdd0af82">EC2N::Double</a></div><div class="ttdeci">const Point & Double(const Point &P) const</div><div class="ttdoc">Doubles an element in the group.</div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8cpp_source.html#l00218">ec2n.cpp:218</a></div></div>
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