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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// rabin.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> <span class="preprocessor">#include "<a class="code" href="rabin_8h.html">rabin.h</a>"</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="preprocessor">#include "<a class="code" href="integer_8h.html">integer.h</a>"</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="preprocessor">#include "<a class="code" href="nbtheory_8h.html">nbtheory.h</a>"</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#include "<a class="code" href="modarith_8h.html">modarith.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="sha_8h.html">sha.h</a>"</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> NAMESPACE_BEGIN(<a class="code" href="namespace_crypto_p_p.html">CryptoPP</a>)</div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> </div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keywordtype">void</span> RabinFunction::BERDecode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> {</div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  <a class="code" href="class_b_e_r_sequence_decoder.html">BERSequenceDecoder</a> seq(bt);</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  m_n.<a class="code" href="class_integer.html#a810fc0382f8928893fe192ab79b1972c">BERDecode</a>(seq);</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  m_r.<a class="code" href="class_integer.html#a810fc0382f8928893fe192ab79b1972c">BERDecode</a>(seq);</div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  m_s.<a class="code" href="class_integer.html#a810fc0382f8928893fe192ab79b1972c">BERDecode</a>(seq);</div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  seq.MessageEnd();</div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> }</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="keywordtype">void</span> RabinFunction::DEREncode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)<span class="keyword"> const</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="keyword"></span>{</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <a class="code" href="class_d_e_r_sequence_encoder.html">DERSequenceEncoder</a> seq(bt);</div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  m_n.<a class="code" href="class_integer.html#a0671bd1dbe49e2eecdaaa65ffcb5b6ec">DEREncode</a>(seq);</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  m_r.<a class="code" href="class_integer.html#a0671bd1dbe49e2eecdaaa65ffcb5b6ec">DEREncode</a>(seq);</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  m_s.<a class="code" href="class_integer.html#a0671bd1dbe49e2eecdaaa65ffcb5b6ec">DEREncode</a>(seq);</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  seq.MessageEnd();</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> }</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div><div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="class_rabin_function.html#af054d72c882160a1f09700559cb13b5d"> 31</a></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_rabin_function.html#af054d72c882160a1f09700559cb13b5d">RabinFunction::ApplyFunction</a>(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &in)<span class="keyword"> const</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword"></span>{</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="class_crypto_material.html#aa1da44802c5cf00946043922cb9e7e6e">DoQuickSanityCheck</a>();</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="class_integer.html">Integer</a> out = in.<a class="code" href="class_integer.html#a7b5e639045868c5ac338f4180e1c7efa">Squared</a>()%m_n;</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">if</span> (in.<a class="code" href="class_integer.html#aed4bb7208a18b986ef3e1a7d92e06d1d">IsOdd</a>())</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  out = out*m_r%m_n;</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">if</span> (<a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(in, m_n)==-1)</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  out = out*m_s%m_n;</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">return</span> out;</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> }</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> </div><div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="class_rabin_function.html#ac1f4bf45382c16a486616269884d95be"> 43</a></span> <span class="keywordtype">bool</span> <a class="code" href="class_rabin_function.html#ac1f4bf45382c16a486616269884d95be">RabinFunction::Validate</a>(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a>& <span class="comment">/*rng*/</span>, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level)<span class="keyword"> const</span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="keyword"></span>{</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordtype">bool</span> pass = <span class="keyword">true</span>;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  pass = pass && m_n > <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638">Integer::One</a>() && m_n%4 == 1;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  pass = pass && m_r > <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638">Integer::One</a>() && m_r < m_n;</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  pass = pass && m_s > <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638">Integer::One</a>() && m_s < m_n;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">if</span> (level >= 1)</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  {</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  pass = pass && <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(m_r, m_n) == -1 && <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(m_s, m_n) == -1;</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  }</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">return</span> pass;</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span> }</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div><div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="class_rabin_function.html#a270c7b01d8c28fee40aa62636b7e9d43"> 60</a></span> <span class="keywordtype">bool</span> <a class="code" href="class_rabin_function.html#a270c7b01d8c28fee40aa62636b7e9d43">RabinFunction::GetVoidValue</a>(<span class="keyword">const</span> <span class="keywordtype">char</span> *name, <span class="keyword">const</span> std::type_info &valueType, <span class="keywordtype">void</span> *pValue)<span class="keyword"> const</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="keyword"></span>{</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">return</span> GetValueHelper(<span class="keyword">this</span>, name, valueType, pValue).Assignable()</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  CRYPTOPP_GET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#a7e07afb1cbb505fa8cf1b93e67f4782d">Modulus</a>)</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  CRYPTOPP_GET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#a8fc00e5748af742f6038e0002dc6f6a6">QuadraticResidueModPrime1</a>)</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  CRYPTOPP_GET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#aef171a8d6fd7050fc99a72492ab51caa">QuadraticResidueModPrime2</a>)</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> }</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div><div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="class_rabin_function.html#ae585a0d58b1b95579459c2b42eea980c"> 69</a></span> <span class="keywordtype">void</span> <a class="code" href="class_rabin_function.html#ae585a0d58b1b95579459c2b42eea980c">RabinFunction::AssignFrom</a>(<span class="keyword">const</span> <a class="code" href="class_name_value_pairs.html">NameValuePairs</a> &source)</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span> {</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  AssignFromHelper(<span class="keyword">this</span>, source)</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  CRYPTOPP_SET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#a7e07afb1cbb505fa8cf1b93e67f4782d">Modulus</a>)</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  CRYPTOPP_SET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#a8fc00e5748af742f6038e0002dc6f6a6">QuadraticResidueModPrime1</a>)</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  CRYPTOPP_SET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#aef171a8d6fd7050fc99a72492ab51caa">QuadraticResidueModPrime2</a>)</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  ;</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> }</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// *****************************************************************************</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// private key operations:</span></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> <span class="comment">// generate a random private key</span></div><div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="class_invertible_rabin_function.html#a571737380b956b4add10c855484af670"> 82</a></span> <span class="keywordtype">void</span> <a class="code" href="class_invertible_rabin_function.html#a571737380b956b4add10c855484af670">InvertibleRabinFunction::GenerateRandom</a>(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keyword">const</span> <a class="code" href="class_name_value_pairs.html">NameValuePairs</a> &alg)</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="keywordtype">int</span> modulusSize = 2048;</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  alg.<a class="code" href="class_name_value_pairs.html#a94e5b19dc54625799797668ff8627c57">GetIntValue</a>(<span class="stringliteral">"ModulusSize"</span>, modulusSize) || alg.<a class="code" href="class_name_value_pairs.html#a94e5b19dc54625799797668ff8627c57">GetIntValue</a>(<span class="stringliteral">"KeySize"</span>, modulusSize);</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">if</span> (modulusSize < 16)</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">throw</span> <a class="code" href="class_invalid_argument.html">InvalidArgument</a>(<span class="stringliteral">"InvertibleRabinFunction: specified modulus size is too small"</span>);</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// VC70 workaround: putting these after primeParam causes overlapped stack allocation</span></div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordtype">bool</span> rFound=<span class="keyword">false</span>, sFound=<span class="keyword">false</span>;</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="class_integer.html">Integer</a> t=2;</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="class_algorithm_parameters.html">AlgorithmParameters</a> primeParam = MakeParametersForTwoPrimesOfEqualSize(modulusSize)</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  (<span class="stringliteral">"EquivalentTo"</span>, 3)(<span class="stringliteral">"Mod"</span>, 4);</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  m_p.<a class="code" href="class_integer.html#a0d9a427fe64a454b11b24fe61c10dbeb">GenerateRandom</a>(rng, primeParam);</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  m_q.<a class="code" href="class_integer.html#a0d9a427fe64a454b11b24fe61c10dbeb">GenerateRandom</a>(rng, primeParam);</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>  <span class="keywordflow">while</span> (!(rFound && sFound))</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  {</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordtype">int</span> jp = <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(t, m_p);</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordtype">int</span> jq = <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(t, m_q);</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">if</span> (!rFound && jp==1 && jq==-1)</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>  m_r = t;</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  rFound = <span class="keyword">true</span>;</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> </div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">if</span> (!sFound && jp==-1 && jq==1)</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  {</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  m_s = t;</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  sFound = <span class="keyword">true</span>;</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  }</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>  ++t;</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  }</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span> </div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  m_n = m_p * m_q;</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  m_u = m_q.<a class="code" href="class_integer.html#af805574831ce19221692966e6217e6e0">InverseMod</a>(m_p);</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> }</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> </div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="keywordtype">void</span> InvertibleRabinFunction::BERDecode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> {</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="class_b_e_r_sequence_decoder.html">BERSequenceDecoder</a> seq(bt);</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  m_n.BERDecode(seq);</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  m_r.BERDecode(seq);</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  m_s.BERDecode(seq);</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  m_p.<a class="code" href="class_integer.html#a810fc0382f8928893fe192ab79b1972c">BERDecode</a>(seq);</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  m_q.<a class="code" href="class_integer.html#a810fc0382f8928893fe192ab79b1972c">BERDecode</a>(seq);</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  m_u.<a class="code" href="class_integer.html#a810fc0382f8928893fe192ab79b1972c">BERDecode</a>(seq);</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  seq.MessageEnd();</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"> 135</span> <span class="keywordtype">void</span> InvertibleRabinFunction::DEREncode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)<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_d_e_r_sequence_encoder.html">DERSequenceEncoder</a> seq(bt);</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  m_n.DEREncode(seq);</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  m_r.DEREncode(seq);</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  m_s.DEREncode(seq);</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  m_p.<a class="code" href="class_integer.html#a0671bd1dbe49e2eecdaaa65ffcb5b6ec">DEREncode</a>(seq);</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  m_q.<a class="code" href="class_integer.html#a0671bd1dbe49e2eecdaaa65ffcb5b6ec">DEREncode</a>(seq);</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  m_u.<a class="code" href="class_integer.html#a0671bd1dbe49e2eecdaaa65ffcb5b6ec">DEREncode</a>(seq);</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  seq.MessageEnd();</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span> }</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div><div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="class_invertible_rabin_function.html#a398db51965ca89a10d79e691fa19e02b"> 147</a></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_invertible_rabin_function.html#a398db51965ca89a10d79e691fa19e02b">InvertibleRabinFunction::CalculateInverse</a>(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &in)<span class="keyword"> const</span></div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keyword"></span>{</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="class_crypto_material.html#aa1da44802c5cf00946043922cb9e7e6e">DoQuickSanityCheck</a>();</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span> </div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="class_modular_arithmetic.html">ModularArithmetic</a> modn(m_n);</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="class_integer.html">Integer</a> r(rng, <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638">Integer::One</a>(), m_n - <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638">Integer::One</a>());</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  r = modn.<a class="code" href="class_modular_arithmetic.html#a7f74883ad789f0db51ed9b45385c14db">Square</a>(r);</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="class_integer.html">Integer</a> r2 = modn.<a class="code" href="class_modular_arithmetic.html#a7f74883ad789f0db51ed9b45385c14db">Square</a>(r);</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="class_integer.html">Integer</a> c = modn.<a class="code" href="class_modular_arithmetic.html#a3b88a85b11eb1a826d26d01bdaafbf0a">Multiply</a>(in, r2); <span class="comment">// blind</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="class_integer.html">Integer</a> cp=c%m_p, cq=c%m_q;</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordtype">int</span> jp = <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(cp, m_p);</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordtype">int</span> jq = <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(cq, m_q);</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span> </div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">if</span> (jq==-1)</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  {</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  cp = cp*<a class="code" href="nbtheory_8h.html#aa88bcc8ea0e0608098a17bec60abe61e">EuclideanMultiplicativeInverse</a>(m_r, m_p)%m_p;</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  cq = cq*<a class="code" href="nbtheory_8h.html#aa88bcc8ea0e0608098a17bec60abe61e">EuclideanMultiplicativeInverse</a>(m_r, m_q)%m_q;</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span> </div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">if</span> (jp==-1)</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  {</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  cp = cp*<a class="code" href="nbtheory_8h.html#aa88bcc8ea0e0608098a17bec60abe61e">EuclideanMultiplicativeInverse</a>(m_s, m_p)%m_p;</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  cq = cq*<a class="code" href="nbtheory_8h.html#aa88bcc8ea0e0608098a17bec60abe61e">EuclideanMultiplicativeInverse</a>(m_s, m_q)%m_q;</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  }</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span> </div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  cp = <a class="code" href="nbtheory_8h.html#abb83c7bbd49b1761028d08a9a1016e68">ModularSquareRoot</a>(cp, m_p);</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  cq = <a class="code" href="nbtheory_8h.html#abb83c7bbd49b1761028d08a9a1016e68">ModularSquareRoot</a>(cq, m_q);</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>  <span class="keywordflow">if</span> (jp==-1)</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  cp = m_p-cp;</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span> </div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <a class="code" href="class_integer.html">Integer</a> out = <a class="code" href="nbtheory_8h.html#ab3fae49135264b5b5afecd0331915040">CRT</a>(cq, m_q, cp, m_p, m_u);</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>  out = modn.<a class="code" href="class_modular_arithmetic.html#a584d214676856d1463e14c6407d1cd31">Divide</a>(out, r); <span class="comment">// unblind</span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">if</span> ((jq==-1 && out.<a class="code" href="class_integer.html#afedf9af097a3417d8bd3742ec53f9593">IsEven</a>()) || (jq==1 && out.<a class="code" href="class_integer.html#aed4bb7208a18b986ef3e1a7d92e06d1d">IsOdd</a>()))</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  out = m_n-out;</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span> </div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">return</span> out;</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> </div><div class="line"><a name="l00190"></a><span class="lineno"><a class="line" href="class_invertible_rabin_function.html#a8f654d654bf7e833c9c48351346d3cb9"> 190</a></span> <span class="keywordtype">bool</span> <a class="code" href="class_invertible_rabin_function.html#a8f654d654bf7e833c9c48351346d3cb9">InvertibleRabinFunction::Validate</a>(<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="l00191"></a><span class="lineno"> 191</span> <span class="keyword"></span>{</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordtype">bool</span> pass = <a class="code" href="class_rabin_function.html#ac1f4bf45382c16a486616269884d95be">RabinFunction::Validate</a>(rng, level);</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  pass = pass && m_p > <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638">Integer::One</a>() && m_p%4 == 3 && m_p < m_n;</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  pass = pass && m_q > <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638">Integer::One</a>() && m_q%4 == 3 && m_q < m_n;</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  pass = pass && m_u.<a class="code" href="class_integer.html#a13ddbfd8e9729932c2a99b0dff530978">IsPositive</a>() && m_u < m_p;</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordflow">if</span> (level >= 1)</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  {</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  pass = pass && m_p * m_q == m_n;</div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  pass = pass && m_u * m_q % m_p == 1;</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  pass = pass && <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(m_r, m_p) == 1;</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  pass = pass && <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(m_r, m_q) == -1;</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  pass = pass && <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(m_s, m_p) == -1;</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  pass = pass && <a class="code" href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a>(m_s, m_q) == 1;</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  }</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">if</span> (level >= 2)</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>  pass = pass && <a class="code" href="nbtheory_8h.html#a633d17045e229eccc3614426df054463">VerifyPrime</a>(rng, m_p, level-2) && <a class="code" href="nbtheory_8h.html#a633d17045e229eccc3614426df054463">VerifyPrime</a>(rng, m_q, level-2);</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <a class="code" href="trap_8h.html#adf3b392588bc94cbeae9f415a78c7b95">CRYPTOPP_ASSERT</a>(pass);</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">return</span> pass;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span> }</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div><div class="line"><a name="l00223"></a><span class="lineno"><a class="line" href="class_invertible_rabin_function.html#ad0565de9c37f2dac3614874d6284dafb"> 223</a></span> <span class="keywordtype">bool</span> <a class="code" href="class_invertible_rabin_function.html#ad0565de9c37f2dac3614874d6284dafb">InvertibleRabinFunction::GetVoidValue</a>(<span class="keyword">const</span> <span class="keywordtype">char</span> *name, <span class="keyword">const</span> std::type_info &valueType, <span class="keywordtype">void</span> *pValue)<span class="keyword"> const</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="keyword"></span>{</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">return</span> GetValueHelper<RabinFunction>(<span class="keyword">this</span>, name, valueType, pValue).Assignable()</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  CRYPTOPP_GET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#a6cdb26682afe9bb0e1f245a052924d52">Prime1</a>)</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  CRYPTOPP_GET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#afbc931235175c1df9b9826a0d88999d8">Prime2</a>)</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  CRYPTOPP_GET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#a9579c719b8981c185c8f9fec9f180a55">MultiplicativeInverseOfPrime2ModPrime1</a>)</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  ;</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span> }</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span> </div><div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="class_invertible_rabin_function.html#a66594bb7f369e4ecc30bbe6ae62527ea"> 232</a></span> <span class="keywordtype">void</span> <a class="code" href="class_invertible_rabin_function.html#a66594bb7f369e4ecc30bbe6ae62527ea">InvertibleRabinFunction::AssignFrom</a>(<span class="keyword">const</span> <a class="code" href="class_name_value_pairs.html">NameValuePairs</a> &source)</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span> {</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  AssignFromHelper<RabinFunction>(<span class="keyword">this</span>, source)</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  CRYPTOPP_SET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#a6cdb26682afe9bb0e1f245a052924d52">Prime1</a>)</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  CRYPTOPP_SET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#afbc931235175c1df9b9826a0d88999d8">Prime2</a>)</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  CRYPTOPP_SET_FUNCTION_ENTRY(<a class="code" href="namespace_name.html#a9579c719b8981c185c8f9fec9f180a55">MultiplicativeInverseOfPrime2ModPrime1</a>)</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  ;</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span> }</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span> </div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span> NAMESPACE_END</div><div class="ttc" id="nbtheory_8h_html_ab3fae49135264b5b5afecd0331915040"><div class="ttname"><a href="nbtheory_8h.html#ab3fae49135264b5b5afecd0331915040">CRT</a></div><div class="ttdeci">Integer CRT(const Integer &xp, const Integer &p, const Integer &xq, const Integer &q, const Integer &u)</div><div class="ttdoc">Chinese Remainder Theorem.</div><div class="ttdef"><b>Definition:</b> <a href="nbtheory_8cpp_source.html#l00553">nbtheory.cpp:553</a></div></div>
<div class="ttc" id="namespace_name_html_a9579c719b8981c185c8f9fec9f180a55"><div class="ttname"><a href="namespace_name.html#a9579c719b8981c185c8f9fec9f180a55">Name::MultiplicativeInverseOfPrime2ModPrime1</a></div><div class="ttdeci">const char * MultiplicativeInverseOfPrime2ModPrime1()</div><div class="ttdoc">Integer.</div><div class="ttdef"><b>Definition:</b> <a href="argnames_8h_source.html#l00047">argnames.h:47</a></div></div>
<div class="ttc" id="class_invalid_argument_html"><div class="ttname"><a href="class_invalid_argument.html">InvalidArgument</a></div><div class="ttdoc">An invalid argument was detected.</div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l00199">cryptlib.h:199</a></div></div>
<div class="ttc" id="rabin_8h_html"><div class="ttname"><a href="rabin_8h.html">rabin.h</a></div><div class="ttdoc">Classes for Rabin encryption and signature schemes.</div></div>
<div class="ttc" id="class_modular_arithmetic_html_a7f74883ad789f0db51ed9b45385c14db"><div class="ttname"><a href="class_modular_arithmetic.html#a7f74883ad789f0db51ed9b45385c14db">ModularArithmetic::Square</a></div><div class="ttdeci">const Integer & Square(const Integer &a) const</div><div class="ttdoc">Square an element in the ring.</div><div class="ttdef"><b>Definition:</b> <a href="modarith_8h_source.html#l00181">modarith.h:181</a></div></div>
<div class="ttc" id="class_modular_arithmetic_html_a584d214676856d1463e14c6407d1cd31"><div class="ttname"><a href="class_modular_arithmetic.html#a584d214676856d1463e14c6407d1cd31">ModularArithmetic::Divide</a></div><div class="ttdeci">const Integer & Divide(const Integer &a, const Integer &b) const</div><div class="ttdoc">Divides elements in the ring.</div><div class="ttdef"><b>Definition:</b> <a href="modarith_8h_source.html#l00202">modarith.h:202</a></div></div>
<div class="ttc" id="namespace_name_html_afbc931235175c1df9b9826a0d88999d8"><div class="ttname"><a href="namespace_name.html#afbc931235175c1df9b9826a0d88999d8">Name::Prime2</a></div><div class="ttdeci">const char * Prime2()</div><div class="ttdoc">Integer.</div><div class="ttdef"><b>Definition:</b> <a href="argnames_8h_source.html#l00044">argnames.h:44</a></div></div>
<div class="ttc" id="class_integer_html_a0671bd1dbe49e2eecdaaa65ffcb5b6ec"><div class="ttname"><a href="class_integer.html#a0671bd1dbe49e2eecdaaa65ffcb5b6ec">Integer::DEREncode</a></div><div class="ttdeci">void DEREncode(BufferedTransformation &bt) const</div><div class="ttdoc">Encode in DER format.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cpp_source.html#l03405">integer.cpp:3405</a></div></div>
<div class="ttc" id="namespace_name_html_a8fc00e5748af742f6038e0002dc6f6a6"><div class="ttname"><a href="namespace_name.html#a8fc00e5748af742f6038e0002dc6f6a6">Name::QuadraticResidueModPrime1</a></div><div class="ttdeci">const char * QuadraticResidueModPrime1()</div><div class="ttdoc">Integer.</div><div class="ttdef"><b>Definition:</b> <a href="argnames_8h_source.html#l00048">argnames.h:48</a></div></div>
<div class="ttc" id="class_invertible_rabin_function_html_a398db51965ca89a10d79e691fa19e02b"><div class="ttname"><a href="class_invertible_rabin_function.html#a398db51965ca89a10d79e691fa19e02b">InvertibleRabinFunction::CalculateInverse</a></div><div class="ttdeci">Integer CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const</div><div class="ttdoc">Calculates the inverse of an element.</div><div class="ttdef"><b>Definition:</b> <a href="rabin_8cpp_source.html#l00147">rabin.cpp:147</a></div></div>
<div class="ttc" id="class_rabin_function_html_a270c7b01d8c28fee40aa62636b7e9d43"><div class="ttname"><a href="class_rabin_function.html#a270c7b01d8c28fee40aa62636b7e9d43">RabinFunction::GetVoidValue</a></div><div class="ttdeci">bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const</div><div class="ttdoc">Get a named value.</div><div class="ttdef"><b>Definition:</b> <a href="rabin_8cpp_source.html#l00060">rabin.cpp:60</a></div></div>
<div class="ttc" id="class_modular_arithmetic_html"><div class="ttname"><a href="class_modular_arithmetic.html">ModularArithmetic</a></div><div class="ttdoc">Ring of congruence classes modulo n.</div><div class="ttdef"><b>Definition:</b> <a href="modarith_8h_source.html#l00038">modarith.h:38</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="nbtheory_8h_html_abffe3c03543252f53fcf59fdb2df765c"><div class="ttname"><a href="nbtheory_8h.html#abffe3c03543252f53fcf59fdb2df765c">Jacobi</a></div><div class="ttdeci">int Jacobi(const Integer &a, const Integer &b)</div><div class="ttdoc">Calculate the Jacobi symbol.</div><div class="ttdef"><b>Definition:</b> <a href="nbtheory_8cpp_source.html#l00785">nbtheory.cpp:785</a></div></div>
<div class="ttc" id="class_integer_html_af805574831ce19221692966e6217e6e0"><div class="ttname"><a href="class_integer.html#af805574831ce19221692966e6217e6e0">Integer::InverseMod</a></div><div class="ttdeci">Integer InverseMod(const Integer &n) const</div><div class="ttdoc">Calculate multiplicative inverse.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cpp_source.html#l04386">integer.cpp:4386</a></div></div>
<div class="ttc" id="nbtheory_8h_html_abb83c7bbd49b1761028d08a9a1016e68"><div class="ttname"><a href="nbtheory_8h.html#abb83c7bbd49b1761028d08a9a1016e68">ModularSquareRoot</a></div><div class="ttdeci">Integer ModularSquareRoot(const Integer &a, const Integer &p)</div><div class="ttdoc">Extract a modular square root.</div><div class="ttdef"><b>Definition:</b> <a href="nbtheory_8cpp_source.html#l00572">nbtheory.cpp:572</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_integer_html_a0d9a427fe64a454b11b24fe61c10dbeb"><div class="ttname"><a href="class_integer.html#a0d9a427fe64a454b11b24fe61c10dbeb">Integer::GenerateRandom</a></div><div class="ttdeci">void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &params=g_nullNameValuePairs)</div><div class="ttdoc">Generate a random number.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00484">integer.h:484</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="class_integer_html_a13ddbfd8e9729932c2a99b0dff530978"><div class="ttname"><a href="class_integer.html#a13ddbfd8e9729932c2a99b0dff530978">Integer::IsPositive</a></div><div class="ttdeci">bool IsPositive() const</div><div class="ttdoc">Determines if the Integer is positive.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00342">integer.h:342</a></div></div>
<div class="ttc" id="class_integer_html_a8c070592581bf6c2f928c72bfa1c1638"><div class="ttname"><a href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638">Integer::One</a></div><div class="ttdeci">static const Integer & One()</div><div class="ttdoc">Integer representing 1.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cpp_source.html#l04824">integer.cpp:4824</a></div></div>
<div class="ttc" id="class_rabin_function_html_af054d72c882160a1f09700559cb13b5d"><div class="ttname"><a href="class_rabin_function.html#af054d72c882160a1f09700559cb13b5d">RabinFunction::ApplyFunction</a></div><div class="ttdeci">Integer ApplyFunction(const Integer &x) const</div><div class="ttdoc">Applies the trapdoor.</div><div class="ttdef"><b>Definition:</b> <a href="rabin_8cpp_source.html#l00031">rabin.cpp:31</a></div></div>
<div class="ttc" id="namespace_name_html_a6cdb26682afe9bb0e1f245a052924d52"><div class="ttname"><a href="namespace_name.html#a6cdb26682afe9bb0e1f245a052924d52">Name::Prime1</a></div><div class="ttdeci">const char * Prime1()</div><div class="ttdoc">Integer.</div><div class="ttdef"><b>Definition:</b> <a href="argnames_8h_source.html#l00043">argnames.h:43</a></div></div>
<div class="ttc" id="class_crypto_material_html_aa1da44802c5cf00946043922cb9e7e6e"><div class="ttname"><a href="class_crypto_material.html#aa1da44802c5cf00946043922cb9e7e6e">CryptoMaterial::DoQuickSanityCheck</a></div><div class="ttdeci">void DoQuickSanityCheck() const</div><div class="ttdoc">Perform a quick sanity check.</div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l02334">cryptlib.h:2334</a></div></div>
<div class="ttc" id="namespace_name_html_aef171a8d6fd7050fc99a72492ab51caa"><div class="ttname"><a href="namespace_name.html#aef171a8d6fd7050fc99a72492ab51caa">Name::QuadraticResidueModPrime2</a></div><div class="ttdeci">const char * QuadraticResidueModPrime2()</div><div class="ttdoc">Integer.</div><div class="ttdef"><b>Definition:</b> <a href="argnames_8h_source.html#l00049">argnames.h:49</a></div></div>
<div class="ttc" id="class_modular_arithmetic_html_a3b88a85b11eb1a826d26d01bdaafbf0a"><div class="ttname"><a href="class_modular_arithmetic.html#a3b88a85b11eb1a826d26d01bdaafbf0a">ModularArithmetic::Multiply</a></div><div class="ttdeci">const Integer & Multiply(const Integer &a, const Integer &b) const</div><div class="ttdoc">Multiplies elements in the ring.</div><div class="ttdef"><b>Definition:</b> <a href="modarith_8h_source.html#l00174">modarith.h:174</a></div></div>
<div class="ttc" id="nbtheory_8h_html_a633d17045e229eccc3614426df054463"><div class="ttname"><a href="nbtheory_8h.html#a633d17045e229eccc3614426df054463">VerifyPrime</a></div><div class="ttdeci">bool VerifyPrime(RandomNumberGenerator &rng, const Integer &p, unsigned int level=1)</div><div class="ttdoc">Verifies a number is probably prime.</div><div class="ttdef"><b>Definition:</b> <a href="nbtheory_8cpp_source.html#l00247">nbtheory.cpp:247</a></div></div>
<div class="ttc" id="class_integer_html"><div class="ttname"><a href="class_integer.html">Integer</a></div><div class="ttdoc">Multiple precision integer with arithmetic operations.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00049">integer.h:49</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_integer_html_afedf9af097a3417d8bd3742ec53f9593"><div class="ttname"><a href="class_integer.html#afedf9af097a3417d8bd3742ec53f9593">Integer::IsEven</a></div><div class="ttdeci">bool IsEven() const</div><div class="ttdoc">Determines if the Integer is even parity.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00348">integer.h:348</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="class_invertible_rabin_function_html_a571737380b956b4add10c855484af670"><div class="ttname"><a href="class_invertible_rabin_function.html#a571737380b956b4add10c855484af670">InvertibleRabinFunction::GenerateRandom</a></div><div class="ttdeci">void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)</div><div class="ttdef"><b>Definition:</b> <a href="rabin_8cpp_source.html#l00082">rabin.cpp:82</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="sha_8h_html"><div class="ttname"><a href="sha_8h.html">sha.h</a></div><div class="ttdoc">Classes for SHA-1 and SHA-2 family of message digests.</div></div>
<div class="ttc" id="class_rabin_function_html_ac1f4bf45382c16a486616269884d95be"><div class="ttname"><a href="class_rabin_function.html#ac1f4bf45382c16a486616269884d95be">RabinFunction::Validate</a></div><div class="ttdeci">bool Validate(RandomNumberGenerator &rng, unsigned int level) const</div><div class="ttdoc">Check this object for errors.</div><div class="ttdef"><b>Definition:</b> <a href="rabin_8cpp_source.html#l00043">rabin.cpp:43</a></div></div>
<div class="ttc" id="nbtheory_8h_html"><div class="ttname"><a href="nbtheory_8h.html">nbtheory.h</a></div><div class="ttdoc">Classes and functions for number theoretic operations.</div></div>
<div class="ttc" id="class_invertible_rabin_function_html_a8f654d654bf7e833c9c48351346d3cb9"><div class="ttname"><a href="class_invertible_rabin_function.html#a8f654d654bf7e833c9c48351346d3cb9">InvertibleRabinFunction::Validate</a></div><div class="ttdeci">bool Validate(RandomNumberGenerator &rng, unsigned int level) const</div><div class="ttdoc">Check this object for errors.</div><div class="ttdef"><b>Definition:</b> <a href="rabin_8cpp_source.html#l00190">rabin.cpp:190</a></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="nbtheory_8h_html_aa88bcc8ea0e0608098a17bec60abe61e"><div class="ttname"><a href="nbtheory_8h.html#aa88bcc8ea0e0608098a17bec60abe61e">EuclideanMultiplicativeInverse</a></div><div class="ttdeci">Integer EuclideanMultiplicativeInverse(const Integer &a, const Integer &b)</div><div class="ttdoc">Calculate multiplicative inverse.</div><div class="ttdef"><b>Definition:</b> <a href="nbtheory_8h_source.html#l00165">nbtheory.h:165</a></div></div>
<div class="ttc" id="class_integer_html_a7b5e639045868c5ac338f4180e1c7efa"><div class="ttname"><a href="class_integer.html#a7b5e639045868c5ac338f4180e1c7efa">Integer::Squared</a></div><div class="ttdeci">Integer Squared() const</div><div class="ttdoc">Multiply this integer by itself.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00609">integer.h:609</a></div></div>
<div class="ttc" id="class_invertible_rabin_function_html_a66594bb7f369e4ecc30bbe6ae62527ea"><div class="ttname"><a href="class_invertible_rabin_function.html#a66594bb7f369e4ecc30bbe6ae62527ea">InvertibleRabinFunction::AssignFrom</a></div><div class="ttdeci">void AssignFrom(const NameValuePairs &source)</div><div class="ttdoc">Assign values to this object.</div><div class="ttdef"><b>Definition:</b> <a href="rabin_8cpp_source.html#l00232">rabin.cpp:232</a></div></div>
<div class="ttc" id="class_algorithm_parameters_html"><div class="ttname"><a href="class_algorithm_parameters.html">AlgorithmParameters</a></div><div class="ttdoc">An object that implements NameValuePairs.</div><div class="ttdef"><b>Definition:</b> <a href="algparam_8h_source.html#l00419">algparam.h:419</a></div></div>
<div class="ttc" id="namespace_name_html_a7e07afb1cbb505fa8cf1b93e67f4782d"><div class="ttname"><a href="namespace_name.html#a7e07afb1cbb505fa8cf1b93e67f4782d">Name::Modulus</a></div><div class="ttdeci">const char * Modulus()</div><div class="ttdoc">Integer.</div><div class="ttdef"><b>Definition:</b> <a href="argnames_8h_source.html#l00033">argnames.h:33</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_rabin_function_html_ae585a0d58b1b95579459c2b42eea980c"><div class="ttname"><a href="class_rabin_function.html#ae585a0d58b1b95579459c2b42eea980c">RabinFunction::AssignFrom</a></div><div class="ttdeci">void AssignFrom(const NameValuePairs &source)</div><div class="ttdoc">Assign values to this object.</div><div class="ttdef"><b>Definition:</b> <a href="rabin_8cpp_source.html#l00069">rabin.cpp:69</a></div></div>
<div class="ttc" id="class_integer_html_a810fc0382f8928893fe192ab79b1972c"><div class="ttname"><a href="class_integer.html#a810fc0382f8928893fe192ab79b1972c">Integer::BERDecode</a></div><div class="ttdeci">void BERDecode(const byte *input, size_t inputLen)</div><div class="ttdoc">Decode from BER format.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cpp_source.html#l03412">integer.cpp:3412</a></div></div>
<div class="ttc" id="class_invertible_rabin_function_html_ad0565de9c37f2dac3614874d6284dafb"><div class="ttname"><a href="class_invertible_rabin_function.html#ad0565de9c37f2dac3614874d6284dafb">InvertibleRabinFunction::GetVoidValue</a></div><div class="ttdeci">bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const</div><div class="ttdoc">Get a named value.</div><div class="ttdef"><b>Definition:</b> <a href="rabin_8cpp_source.html#l00223">rabin.cpp:223</a></div></div>
<div class="ttc" id="modarith_8h_html"><div class="ttname"><a href="modarith_8h.html">modarith.h</a></div><div class="ttdoc">Class file for performing modular arithmetic.</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="class_name_value_pairs_html_a94e5b19dc54625799797668ff8627c57"><div class="ttname"><a href="class_name_value_pairs.html#a94e5b19dc54625799797668ff8627c57">NameValuePairs::GetIntValue</a></div><div class="ttdeci">bool GetIntValue(const char *name, int &value) const</div><div class="ttdoc">Get a named value with type int.</div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l00383">cryptlib.h:383</a></div></div>
<div class="ttc" id="class_integer_html_aed4bb7208a18b986ef3e1a7d92e06d1d"><div class="ttname"><a href="class_integer.html#aed4bb7208a18b986ef3e1a7d92e06d1d">Integer::IsOdd</a></div><div class="ttdeci">bool IsOdd() const</div><div class="ttdoc">Determines if the Integer is odd parity.</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00351">integer.h:351</a></div></div>
<div class="ttc" id="class_name_value_pairs_html"><div class="ttname"><a href="class_name_value_pairs.html">NameValuePairs</a></div><div class="ttdoc">Interface for retrieving values given their names.</div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l00290">cryptlib.h:290</a></div></div>
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