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 <span id="projectnumber">7.0</span>
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<a href="ecp_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// ecp.h - 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> <span class="comment"></span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">/// \file ecp.h</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/// \brief Classes for Elliptic Curves over prime fields</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"></span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="preprocessor">#ifndef CRYPTOPP_ECP_H</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#define CRYPTOPP_ECP_H</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> </div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#include "<a class="code" href="cryptlib_8h.html">cryptlib.h</a>"</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include "<a class="code" href="integer_8h.html">integer.h</a>"</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include "<a class="code" href="algebra_8h.html">algebra.h</a>"</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include "<a class="code" href="modarith_8h.html">modarith.h</a>"</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include "<a class="code" href="ecpoint_8h.html">ecpoint.h</a>"</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="eprecomp_8h.html">eprecomp.h</a>"</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include "<a class="code" href="smartptr_8h.html">smartptr.h</a>"</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include "<a class="code" href="pubkey_8h.html">pubkey.h</a>"</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#if CRYPTOPP_MSC_VERSION</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor"># pragma warning(push)</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor"># pragma warning(disable: 4231 4275)</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> NAMESPACE_BEGIN(<a class="code" href="namespace_crypto_p_p.html">CryptoPP</a>)</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> <span class="comment">/// \brief Elliptic Curve over GF(p), where p is prime</span></div><div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="class_e_c_p.html"> 26</a></span> <span class="comment"></span>class CRYPTOPP_DLL <a class="code" href="class_e_c_p.html">ECP</a> : public <a class="code" href="class_abstract_group.html">AbstractGroup</a><<a class="code" href="struct_e_c_p_point.html">ECPPoint</a>>, public <a class="code" href="class_encoded_point.html">EncodedPoint</a><<a class="code" href="struct_e_c_p_point.html">ECPPoint</a>></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> {</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keyword">typedef</span> <a class="code" href="class_modular_arithmetic.html">ModularArithmetic</a> <a class="code" href="class_modular_arithmetic.html">Field</a>;</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">typedef</span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_integer.html">FieldElement</a>;</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keyword">typedef</span> <a class="code" href="struct_e_c_p_point.html">ECPPoint</a> <a class="code" href="struct_e_c_p_point.html">Point</a>;</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keyword">virtual</span> ~<a class="code" href="class_e_c_p.html">ECP</a>() {}</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"></span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> /// \brief Construct an ECP</span></div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="class_e_c_p.html#a50e65de68e93c6bf2e174c8dc2322731"> 36</a></span> <span class="comment"></span> <a class="code" href="class_e_c_p.html#a50e65de68e93c6bf2e174c8dc2322731">ECP</a>() {}</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> /// \brief Copy construct an ECP</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> /// \param ecp the other ECP object</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> /// \param convertToMontgomeryRepresentation flag indicating if the curve should be converted to a MontgomeryRepresentation</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> /// \sa ModularArithmetic, MontgomeryRepresentation</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"></span> <a class="code" href="class_e_c_p.html">ECP</a>(<span class="keyword">const</span> <a class="code" href="class_e_c_p.html">ECP</a> &ecp, <span class="keywordtype">bool</span> convertToMontgomeryRepresentation = <span class="keyword">false</span>);</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"></span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> /// \brief Construct an ECP</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> /// \param modulus the prime modulus</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> /// \param a Field::Element</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> /// \param b Field::Element</span></div><div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="class_e_c_p.html#a7dbe4a90840d3b7cb23412a65414f4f5"> 48</a></span> <span class="comment"></span> <a class="code" href="class_e_c_p.html#a7dbe4a90840d3b7cb23412a65414f4f5">ECP</a>(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &modulus, <span class="keyword">const</span> <a class="code" href="class_integer.html">FieldElement</a> &a, <span class="keyword">const</span> <a class="code" href="class_integer.html">FieldElement</a> &b)</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  : m_fieldPtr(new <a class="code" href="class_modular_arithmetic.html">Field</a>(modulus)), m_a(a.IsNegative() ? modulus+a : a), m_b(b) {}</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"></span></div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> /// \brief Construct an ECP from BER encoded parameters</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> /// \param bt BufferedTransformation derived object</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> /// \details This constructor will decode and extract the the fields fieldID and curve of the sequence ECParameters</span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"></span> <a class="code" href="class_e_c_p.html">ECP</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt);</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"></span></div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"> /// \brief Encode the fields fieldID and curve of the sequence ECParameters</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> /// \param bt BufferedTransformation derived object</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"></span> <span class="keywordtype">void</span> DEREncode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt) <span class="keyword">const</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"> 60</span>  <span class="keywordtype">bool</span> Equal(<span class="keyword">const</span> Point &P, <span class="keyword">const</span> Point &Q) <span class="keyword">const</span>;</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">const</span> Point& <a class="code" href="namespace_name.html#a87f7b89127f1053f118c879e865ab212">Identity</a>() <span class="keyword">const</span>;</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keyword">const</span> Point& Inverse(<span class="keyword">const</span> Point &P) <span class="keyword">const</span>;</div><div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="class_e_c_p.html#a0031a4a3a18999fda3942713da554697"> 63</a></span>  <span class="keywordtype">bool</span> <a class="code" href="class_e_c_p.html#a0031a4a3a18999fda3942713da554697">InversionIsFast</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> <span class="keyword">true</span>;}</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keyword">const</span> Point& Add(<span class="keyword">const</span> Point &P, <span class="keyword">const</span> Point &Q) <span class="keyword">const</span>;</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">const</span> Point& Double(<span class="keyword">const</span> Point &P) <span class="keyword">const</span>;</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  Point ScalarMultiply(<span class="keyword">const</span> Point &P, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k) <span class="keyword">const</span>;</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  Point CascadeScalarMultiply(<span class="keyword">const</span> Point &P, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k1, <span class="keyword">const</span> Point &Q, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k2) <span class="keyword">const</span>;</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordtype">void</span> SimultaneousMultiply(Point *results, <span class="keyword">const</span> Point &base, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> *exponents, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> exponentsCount) <span class="keyword">const</span>;</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  Point Multiply(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k, <span class="keyword">const</span> Point &P)<span class="keyword"> const</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> ScalarMultiply(P, k);}</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  Point CascadeMultiply(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k1, <span class="keyword">const</span> Point &P, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &k2, <span class="keyword">const</span> Point &Q)<span class="keyword"> const</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> CascadeScalarMultiply(P, k1, Q, k2);}</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordtype">bool</span> ValidateParameters(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level=3) <span class="keyword">const</span>;</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordtype">bool</span> VerifyPoint(<span class="keyword">const</span> Point &P) <span class="keyword">const</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"><a class="line" href="class_e_c_p.html#aa8b38e2d453f1173923c6fd8e9880606"> 78</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="class_e_c_p.html#aa8b38e2d453f1173923c6fd8e9880606">EncodedPointSize</a>(<span class="keywordtype">bool</span> compressed = <span class="keyword">false</span>)<span class="keyword"> const</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> 1 + (compressed?1:2)*GetField().MaxElementByteLength();}</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// returns false if point is compressed and not valid (doesn't check if uncompressed)</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordtype">bool</span> DecodePoint(Point &P, <a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keywordtype">size_t</span> len) <span class="keyword">const</span>;</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordtype">bool</span> DecodePoint(Point &P, <span class="keyword">const</span> byte *encodedPoint, <span class="keywordtype">size_t</span> len) <span class="keyword">const</span>;</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordtype">void</span> EncodePoint(byte *encodedPoint, <span class="keyword">const</span> Point &P, <span class="keywordtype">bool</span> compressed) <span class="keyword">const</span>;</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordtype">void</span> EncodePoint(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keyword">const</span> Point &P, <span class="keywordtype">bool</span> compressed) <span class="keyword">const</span>;</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>  Point BERDecodePoint(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt) <span class="keyword">const</span>;</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordtype">void</span> DEREncodePoint(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keyword">const</span> Point &P, <span class="keywordtype">bool</span> compressed) <span class="keyword">const</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>  <a class="code" href="class_integer.html">Integer</a> FieldSize()<span class="keyword"> const </span>{<span class="keywordflow">return</span> GetField().GetModulus();}</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keyword">const</span> Field & GetField()<span class="keyword"> const </span>{<span class="keywordflow">return</span> *m_fieldPtr;}</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keyword">const</span> FieldElement & GetA()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_a;}</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keyword">const</span> FieldElement & GetB()<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_b;}</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>  <span class="keywordtype">bool</span> <a class="code" href="asn_8h.html#ab065716a8772762f9e717705901aa924">operator==</a>(<span class="keyword">const</span> <a class="code" href="class_e_c_p.html">ECP</a> &rhs)<span class="keyword"> const</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> GetField() == rhs.GetField() && m_a == rhs.m_a && m_b == rhs.m_b;}</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> </div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">private</span>:</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <a class="code" href="classclonable__ptr.html">clonable_ptr<Field></a> m_fieldPtr;</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  FieldElement m_a, m_b;</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">mutable</span> Point m_R;</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span> };</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> </div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> CRYPTOPP_DLL_TEMPLATE_CLASS <a class="code" href="class_d_l___fixed_base_precomputation_impl.html">DL_FixedBasePrecomputationImpl<ECP::Point></a>;</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span> CRYPTOPP_DLL_TEMPLATE_CLASS <a class="code" href="class_d_l___group_precomputation.html">DL_GroupPrecomputation<ECP::Point></a>;</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment"></span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment">/// \brief Elliptic Curve precomputation</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment">/// \tparam EC elliptic curve field</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"></span><span class="keyword">template</span> <<span class="keyword">class</span> EC> <span class="keyword">class </span><a class="code" href="class_ec_precomputation.html">EcPrecomputation</a>;</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment"></span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment">/// \brief ECP precomputation specialization</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment">/// \details Implementation of <tt>DL_GroupPrecomputation<ECP::Point></tt> with input and output</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment">/// conversions for Montgomery modular multiplication.</span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment">/// \sa DL_GroupPrecomputation, ModularArithmetic, MontgomeryRepresentation</span></div><div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="class_ec_precomputation_3_01_e_c_p_01_4.html"> 114</a></span> <span class="comment"></span><span class="keyword">template</span><> <span class="keyword">class </span><a class="code" href="class_ec_precomputation.html">EcPrecomputation</a><<a class="code" href="class_e_c_p.html">ECP</a>> : <span class="keyword">public</span> <a class="code" href="class_d_l___group_precomputation.html">DL_GroupPrecomputation</a><ECP::Point></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> <span class="keyword">public</span>:</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">typedef</span> <a class="code" href="class_e_c_p.html">ECP</a> <a class="code" href="class_e_c_p.html">EllipticCurve</a>;</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>  <span class="keyword">virtual</span> ~<a class="code" href="class_ec_precomputation.html">EcPrecomputation</a>() {}</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// DL_GroupPrecomputation</span></div><div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="class_ec_precomputation_3_01_e_c_p_01_4.html#aaa3c36266f631554e46119da76be1f5e"> 122</a></span>  <span class="keywordtype">bool</span> <a class="code" href="class_ec_precomputation_3_01_e_c_p_01_4.html#aaa3c36266f631554e46119da76be1f5e">NeedConversions</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> <span class="keyword">true</span>;}</div><div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a72e3e4612db7c4351f3653a66ccf15a4"> 123</a></span>  <a class="code" href="struct_e_c_p_point.html">Element</a> <a class="code" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a72e3e4612db7c4351f3653a66ccf15a4">ConvertIn</a>(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Element</a> &P)<span class="keyword"> const</span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> P.identity ? P : <a class="code" href="struct_e_c_p_point.html">ECP::Point</a>(m_ec->GetField().ConvertIn(P.x), m_ec->GetField().ConvertIn(P.y));};</div><div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a6500e1cc79cbc01ccc283695a5a334de"> 125</a></span>  <a class="code" href="struct_e_c_p_point.html">Element</a> <a class="code" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a6500e1cc79cbc01ccc283695a5a334de">ConvertOut</a>(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Element</a> &P)<span class="keyword"> const</span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> P.identity ? P : <a class="code" href="struct_e_c_p_point.html">ECP::Point</a>(m_ec->GetField().ConvertOut(P.x), m_ec->GetField().ConvertOut(P.y));}</div><div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a439d3669a926c82cc7623d611cec778f"> 127</a></span>  <span class="keyword">const</span> <a class="code" href="class_abstract_group.html">AbstractGroup<Element></a> & <a class="code" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a439d3669a926c82cc7623d611cec778f">GetGroup</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> *m_ec;}</div><div class="line"><a name="l00128"></a><span class="lineno"><a class="line" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a8f736454a36635ee27d3eb87acaebab2"> 128</a></span>  <a class="code" href="struct_e_c_p_point.html">Element</a> <a class="code" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a8f736454a36635ee27d3eb87acaebab2">BERDecodeElement</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)<span class="keyword"> const </span>{<span class="keywordflow">return</span> m_ec->BERDecodePoint(bt);}</div><div class="line"><a name="l00129"></a><span class="lineno"><a class="line" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a160009da005dd686fd32cef31093e67f"> 129</a></span>  <span class="keywordtype">void</span> <a class="code" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a160009da005dd686fd32cef31093e67f">DEREncodeElement</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">Element</a> &v)<span class="keyword"> const </span>{m_ec->DEREncodePoint(bt, v, <span class="keyword">false</span>);}</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"></span></div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"> /// \brief Set the elliptic curve</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> /// \param ec ECP derived class</span></div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> /// \details SetCurve() is not inherited</span></div><div class="line"><a name="l00134"></a><span class="lineno"><a class="line" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a900bdf40eea4c90ebd4fbf52f53d3b6a"> 134</a></span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a900bdf40eea4c90ebd4fbf52f53d3b6a">SetCurve</a>(<span class="keyword">const</span> <a class="code" href="class_e_c_p.html">ECP</a> &ec)</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  {</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  m_ec.reset(<span class="keyword">new</span> <a class="code" href="class_e_c_p.html">ECP</a>(ec, <span class="keyword">true</span>));</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  m_ecOriginal = ec;</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  }</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment"></span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="comment"> /// \brief Get the elliptic curve</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="comment"> /// \returns ECP curve</span></div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="comment"> /// \details GetCurve() is not inherited</span></div><div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a40112ff4b5a4d190a91df2bec223adf7"> 143</a></span> <span class="comment"></span> <span class="keyword">const</span> <a class="code" href="class_e_c_p.html">ECP</a> & <a class="code" href="class_ec_precomputation_3_01_e_c_p_01_4.html#a40112ff4b5a4d190a91df2bec223adf7">GetCurve</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> *m_ecOriginal;}</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="keyword">private</span>:</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="classvalue__ptr.html">value_ptr<ECP></a> m_ec, m_ecOriginal;</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span> };</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> NAMESPACE_END</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> <span class="preprocessor">#if CRYPTOPP_MSC_VERSION</span></div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="preprocessor"># pragma warning(pop)</span></div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="preprocessor">#endif</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"> 155</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="struct_e_c_p_point_html"><div class="ttname"><a href="struct_e_c_p_point.html">ECPPoint</a></div><div class="ttdoc">Elliptical Curve Point over GF(p), where p is prime. </div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00020">ecpoint.h:20</a></div></div>
<div class="ttc" id="class_d_l___group_precomputation_html"><div class="ttname"><a href="class_d_l___group_precomputation.html">DL_GroupPrecomputation< ECP::Point ></a></div></div>
<div class="ttc" id="pubkey_8h_html"><div class="ttname"><a href="pubkey_8h.html">pubkey.h</a></div><div class="ttdoc">This file contains helper classes/functions for implementing public key algorithms. </div></div>
<div class="ttc" id="namespace_name_html_a87f7b89127f1053f118c879e865ab212"><div class="ttname"><a href="namespace_name.html#a87f7b89127f1053f118c879e865ab212">Name::Identity</a></div><div class="ttdeci">const char * Identity()</div><div class="ttdoc">ConstByteArrayParameter. </div><div class="ttdef"><b>Definition:</b> <a href="argnames_8h_source.html#l00094">argnames.h:94</a></div></div>
<div class="ttc" id="class_e_c_p_html"><div class="ttname"><a href="class_e_c_p.html">ECP</a></div><div class="ttdoc">Elliptic Curve over GF(p), where p is prime. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00026">ecp.h:26</a></div></div>
<div class="ttc" id="cryptlib_8h_html"><div class="ttname"><a href="cryptlib_8h.html">cryptlib.h</a></div><div class="ttdoc">Abstract base classes that provide a uniform interface to this library. </div></div>
<div class="ttc" id="class_e_c_p_html_a0031a4a3a18999fda3942713da554697"><div class="ttname"><a href="class_e_c_p.html#a0031a4a3a18999fda3942713da554697">ECP::InversionIsFast</a></div><div class="ttdeci">bool InversionIsFast() const</div><div class="ttdoc">Determine if inversion is fast. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00063">ecp.h:63</a></div></div>
<div class="ttc" id="smartptr_8h_html"><div class="ttname"><a href="smartptr_8h.html">smartptr.h</a></div><div class="ttdoc">Classes for automatic resource management. </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="class_ec_precomputation_3_01_e_c_p_01_4_html_a72e3e4612db7c4351f3653a66ccf15a4"><div class="ttname"><a href="class_ec_precomputation_3_01_e_c_p_01_4.html#a72e3e4612db7c4351f3653a66ccf15a4">EcPrecomputation< ECP >::ConvertIn</a></div><div class="ttdeci">Element ConvertIn(const Element &P) const</div><div class="ttdoc">Converts an element between representations. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00123">ecp.h:123</a></div></div>
<div class="ttc" id="ecpoint_8h_html"><div class="ttname"><a href="ecpoint_8h.html">ecpoint.h</a></div><div class="ttdoc">Classes for Elliptic Curve points. </div></div>
<div class="ttc" id="algebra_8h_html"><div class="ttname"><a href="algebra_8h.html">algebra.h</a></div><div class="ttdoc">Classes for performing mathematics over different fields. </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="asn_8h_html_ab065716a8772762f9e717705901aa924"><div class="ttname"><a href="asn_8h.html#ab065716a8772762f9e717705901aa924">operator==</a></div><div class="ttdeci">bool operator==(const OID &lhs, const OID &rhs)</div><div class="ttdoc">Compare two OIDs for equality. </div></div>
<div class="ttc" id="class_ec_precomputation_3_01_e_c_p_01_4_html_a160009da005dd686fd32cef31093e67f"><div class="ttname"><a href="class_ec_precomputation_3_01_e_c_p_01_4.html#a160009da005dd686fd32cef31093e67f">EcPrecomputation< ECP >::DEREncodeElement</a></div><div class="ttdeci">void DEREncodeElement(BufferedTransformation &bt, const Element &v) const</div><div class="ttdoc">Encodes element in DER format. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00129">ecp.h:129</a></div></div>
<div class="ttc" id="classclonable__ptr_html"><div class="ttname"><a href="classclonable__ptr.html">clonable_ptr</a></div><div class="ttdoc">A pointer which can be copied and cloned. </div><div class="ttdef"><b>Definition:</b> <a href="smartptr_8h_source.html#l00103">smartptr.h:103</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="class_ec_precomputation_3_01_e_c_p_01_4_html_a439d3669a926c82cc7623d611cec778f"><div class="ttname"><a href="class_ec_precomputation_3_01_e_c_p_01_4.html#a439d3669a926c82cc7623d611cec778f">EcPrecomputation< ECP >::GetGroup</a></div><div class="ttdeci">const AbstractGroup< Element > & GetGroup() const</div><div class="ttdoc">Retrieves AbstractGroup interface. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00127">ecp.h:127</a></div></div>
<div class="ttc" id="class_ec_precomputation_3_01_e_c_p_01_4_html_a8f736454a36635ee27d3eb87acaebab2"><div class="ttname"><a href="class_ec_precomputation_3_01_e_c_p_01_4.html#a8f736454a36635ee27d3eb87acaebab2">EcPrecomputation< ECP >::BERDecodeElement</a></div><div class="ttdeci">Element BERDecodeElement(BufferedTransformation &bt) const</div><div class="ttdoc">Decodes element in DER format. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00128">ecp.h:128</a></div></div>
<div class="ttc" id="class_abstract_group_html"><div class="ttname"><a href="class_abstract_group.html">AbstractGroup</a></div><div class="ttdoc">Abstract group. </div><div class="ttdef"><b>Definition:</b> <a href="algebra_8h_source.html#l00026">algebra.h:26</a></div></div>
<div class="ttc" id="eprecomp_8h_html"><div class="ttname"><a href="eprecomp_8h.html">eprecomp.h</a></div><div class="ttdoc">Classes for precomputation in a group. </div></div>
<div class="ttc" id="class_encoded_point_html"><div class="ttname"><a href="class_encoded_point.html">EncodedPoint</a></div><div class="ttdoc">Abstract class for encoding and decoding ellicptic curve points. </div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00090">ecpoint.h:90</a></div></div>
<div class="ttc" id="class_ec_precomputation_html"><div class="ttname"><a href="class_ec_precomputation.html">EcPrecomputation</a></div><div class="ttdoc">Elliptic Curve precomputation. </div><div class="ttdef"><b>Definition:</b> <a href="ec2n_8h_source.html#l00100">ec2n.h:100</a></div></div>
<div class="ttc" id="class_e_c_p_html_a50e65de68e93c6bf2e174c8dc2322731"><div class="ttname"><a href="class_e_c_p.html#a50e65de68e93c6bf2e174c8dc2322731">ECP::ECP</a></div><div class="ttdeci">ECP()</div><div class="ttdoc">Construct an ECP. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00036">ecp.h:36</a></div></div>
<div class="ttc" id="classvalue__ptr_html"><div class="ttname"><a href="classvalue__ptr.html">value_ptr< ECP ></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_ec_precomputation_3_01_e_c_p_01_4_html_aaa3c36266f631554e46119da76be1f5e"><div class="ttname"><a href="class_ec_precomputation_3_01_e_c_p_01_4.html#aaa3c36266f631554e46119da76be1f5e">EcPrecomputation< ECP >::NeedConversions</a></div><div class="ttdeci">bool NeedConversions() const</div><div class="ttdoc">Determines if elements needs conversion. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00122">ecp.h:122</a></div></div>
<div class="ttc" id="class_e_c_p_html_aa8b38e2d453f1173923c6fd8e9880606"><div class="ttname"><a href="class_e_c_p.html#aa8b38e2d453f1173923c6fd8e9880606">ECP::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="ecp_8h_source.html#l00078">ecp.h:78</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_e_c_p_html_a7dbe4a90840d3b7cb23412a65414f4f5"><div class="ttname"><a href="class_e_c_p.html#a7dbe4a90840d3b7cb23412a65414f4f5">ECP::ECP</a></div><div class="ttdeci">ECP(const Integer &modulus, const FieldElement &a, const FieldElement &b)</div><div class="ttdoc">Construct an ECP. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00048">ecp.h:48</a></div></div>
<div class="ttc" id="class_ec_precomputation_3_01_e_c_p_01_4_html_a40112ff4b5a4d190a91df2bec223adf7"><div class="ttname"><a href="class_ec_precomputation_3_01_e_c_p_01_4.html#a40112ff4b5a4d190a91df2bec223adf7">EcPrecomputation< ECP >::GetCurve</a></div><div class="ttdeci">const ECP & GetCurve() const</div><div class="ttdoc">Get the elliptic curve. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00143">ecp.h:143</a></div></div>
<div class="ttc" id="class_ec_precomputation_3_01_e_c_p_01_4_html_a6500e1cc79cbc01ccc283695a5a334de"><div class="ttname"><a href="class_ec_precomputation_3_01_e_c_p_01_4.html#a6500e1cc79cbc01ccc283695a5a334de">EcPrecomputation< ECP >::ConvertOut</a></div><div class="ttdeci">Element ConvertOut(const Element &P) const</div><div class="ttdoc">Converts an element between representations. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00125">ecp.h:125</a></div></div>
<div class="ttc" id="class_d_l___fixed_base_precomputation_impl_html"><div class="ttname"><a href="class_d_l___fixed_base_precomputation_impl.html">DL_FixedBasePrecomputationImpl</a></div><div class="ttdoc">DL_FixedBasePrecomputation adapter class. </div><div class="ttdef"><b>Definition:</b> <a href="eprecomp_8h_source.html#l00126">eprecomp.h:126</a></div></div>
<div class="ttc" id="class_ec_precomputation_3_01_e_c_p_01_4_html_a900bdf40eea4c90ebd4fbf52f53d3b6a"><div class="ttname"><a href="class_ec_precomputation_3_01_e_c_p_01_4.html#a900bdf40eea4c90ebd4fbf52f53d3b6a">EcPrecomputation< ECP >::SetCurve</a></div><div class="ttdeci">void SetCurve(const ECP &ec)</div><div class="ttdoc">Set the elliptic curve. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00134">ecp.h:134</a></div></div>
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