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<a href="ecpoint_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">// ecpoint.h - written and placed in the public domain by Jeffrey Walton</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Data structures moved from ecp.h and ec2n.h. Added EncodedPoint interface</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"></span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/// \file ecpoint.h</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">/// \brief Classes for Elliptic Curve points</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">/// \since Crypto++ 6.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"></span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#ifndef CRYPTOPP_ECPOINT_H</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#define CRYPTOPP_ECPOINT_H</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> <span class="preprocessor">#include "<a class="code" href="cryptlib_8h.html">cryptlib.h</a>"</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include "<a class="code" href="integer_8h.html">integer.h</a>"</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include "<a class="code" href="algebra_8h.html">algebra.h</a>"</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="gf2n_8h.html">gf2n.h</a>"</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> NAMESPACE_BEGIN(<a class="code" href="namespace_crypto_p_p.html">CryptoPP</a>)</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="comment">/// \brief Elliptical Curve Point over GF(p), where p is prime</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"></span><span class="comment">/// \since Crypto++ 2.0</span></div><div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="struct_e_c_p_point.html"> 20</a></span> <span class="comment"></span>struct CRYPTOPP_DLL <a class="code" href="struct_e_c_p_point.html">ECPPoint</a></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="keyword">virtual</span> ~<a class="code" href="struct_e_c_p_point.html">ECPPoint</a>() {}</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"></span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> /// \brief Construct an ECPPoint</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> /// \details identity is set to <tt>true</tt></span></div><div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="struct_e_c_p_point.html#a9d6d4c25d6c2777d7e9bb27e3b0d2c37"> 26</a></span> <span class="comment"></span> <a class="code" href="struct_e_c_p_point.html#a9d6d4c25d6c2777d7e9bb27e3b0d2c37">ECPPoint</a>() : identity(true) {}</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"></span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> /// \brief Construct an ECPPoint from coordinates</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> /// \details identity is set to <tt>false</tt></span></div><div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="struct_e_c_p_point.html#ac68bc9990c364313b6798669de55343f"> 30</a></span> <span class="comment"></span> <a class="code" href="struct_e_c_p_point.html#ac68bc9990c364313b6798669de55343f">ECPPoint</a>(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &x, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &y)</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  : x(x), y(y), identity(false) {}</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"></span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> /// \brief Tests points for equality</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> /// \param t the other point</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> /// \returns true if the points are equal, false otherwise</span></div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="struct_e_c_p_point.html#a5ae4985582faed6b388c8f3ff9bbc1e7"> 36</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="struct_e_c_p_point.html#a5ae4985582faed6b388c8f3ff9bbc1e7">operator==</a>(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">ECPPoint</a> &t)<span class="keyword"> const</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> (identity && t.identity) || (!identity && !t.identity && x==t.x && y==t.y);}</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"></span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> /// \brief Tests points for ordering</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> /// \param t the other point</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> /// \returns true if this point is less than other, false otherwise</span></div><div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="struct_e_c_p_point.html#a364a727daa9c71e1c54b192f62a9b3e7"> 42</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="asn_8h.html#a9485364a916ed0474eb263a307ecc0f0">operator< </a>(<span class="keyword">const</span> <a class="code" href="struct_e_c_p_point.html">ECPPoint</a> &t)<span class="keyword"> const</span></div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> identity ? !t.identity : (!t.identity && (x<t.x || (x==t.x && y<t.y)));}</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="class_integer.html">Integer</a> x, y;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordtype">bool</span> identity;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> };</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> CRYPTOPP_DLL_TEMPLATE_CLASS <a class="code" href="class_abstract_group.html">AbstractGroup<ECPPoint></a>;</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 Elliptical Curve Point over GF(2^n)</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment">/// \since Crypto++ 2.0</span></div><div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="struct_e_c2_n_point.html"> 53</a></span> <span class="comment"></span><span class="keyword">struct </span>CRYPTOPP_DLL <a class="code" href="struct_e_c2_n_point.html">EC2NPoint</a></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> {</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">virtual</span> ~<a class="code" href="struct_e_c2_n_point.html">EC2NPoint</a>() {}</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"></span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> /// \brief Construct an EC2NPoint</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"> /// \details identity is set to <tt>true</tt></span></div><div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="struct_e_c2_n_point.html#a44b8d1ff66cc2b6a05c72d5d2669b65b"> 59</a></span> <span class="comment"></span> <a class="code" href="struct_e_c2_n_point.html#a44b8d1ff66cc2b6a05c72d5d2669b65b">EC2NPoint</a>() : identity(true) {}</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"></span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> /// \brief Construct an EC2NPoint from coordinates</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> /// \details identity is set to <tt>false</tt></span></div><div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="struct_e_c2_n_point.html#a7ea8ec548d653530054aeb9c4c54e24d"> 63</a></span> <span class="comment"></span> <a class="code" href="struct_e_c2_n_point.html#a7ea8ec548d653530054aeb9c4c54e24d">EC2NPoint</a>(<span class="keyword">const</span> <a class="code" href="class_polynomial_mod2.html">PolynomialMod2</a> &x, <span class="keyword">const</span> <a class="code" href="class_polynomial_mod2.html">PolynomialMod2</a> &y)</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  : x(x), y(y), identity(false) {}</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"></span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> /// \brief Tests points for equality</span></div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> /// \param t the other point</span></div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"> /// \returns true if the points are equal, false otherwise</span></div><div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="struct_e_c2_n_point.html#a7194b438469d65ae8b5cf753ef64820f"> 69</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="struct_e_c2_n_point.html#a7194b438469d65ae8b5cf753ef64820f">operator==</a>(<span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">EC2NPoint</a> &t)<span class="keyword"> const</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> (identity && t.identity) || (!identity && !t.identity && x==t.x && y==t.y);}</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"></span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment"> /// \brief Tests points for ordering</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment"> /// \param t the other point</span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"> /// \returns true if this point is less than other, false otherwise</span></div><div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="struct_e_c2_n_point.html#ae967a9020c55c6374e5fbc305cb271c8"> 75</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="asn_8h.html#a9485364a916ed0474eb263a307ecc0f0">operator< </a>(<span class="keyword">const</span> <a class="code" href="struct_e_c2_n_point.html">EC2NPoint</a> &t)<span class="keyword"> const</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="keyword"> </span>{<span class="keywordflow">return</span> identity ? !t.identity : (!t.identity && (x<t.x || (x==t.x && y<t.y)));}</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>  <a class="code" href="class_polynomial_mod2.html">PolynomialMod2</a> x, y;</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordtype">bool</span> identity;</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> </div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> CRYPTOPP_DLL_TEMPLATE_CLASS <a class="code" href="class_abstract_group.html">AbstractGroup<EC2NPoint></a>;</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment"></span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment">/// \brief Abstract class for encoding and decoding ellicptic curve points</span></div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="comment">/// \tparam Point ellicptic curve point</span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment">/// \details EncodedPoint is an interface for encoding and decoding elliptic curve points.</span></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment">/// The template parameter <tt>Point</tt> should be a class like ECP or EC2N.</span></div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment">/// \since Crypto++ 6.0</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"></span><span class="keyword">template</span> <<span class="keyword">class</span> Po<span class="keywordtype">int</span>></div><div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="class_encoded_point.html"> 90</a></span> <span class="keyword">class </span><a class="code" href="class_encoded_point.html">EncodedPoint</a></div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span> {</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">virtual</span> ~<a class="code" href="class_encoded_point.html">EncodedPoint</a>() {}</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"></span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment"> /// \brief Decodes an elliptic curve point</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment"> /// \param P point which is decoded</span></div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment"> /// \param bt source BufferedTransformation</span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment"> /// \param len number of bytes to read from the BufferedTransformation</span></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"> /// \returns true if a point was decoded, false otherwise</span></div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment"></span> <span class="keyword">virtual</span> <span class="keywordtype">bool</span> <a class="code" href="class_encoded_point.html#a844fcbf759f55bca8fc2ae13bda5569f">DecodePoint</a>(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> =0;</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment"></span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment"> /// \brief Decodes an elliptic curve point</span></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment"> /// \param P point which is decoded</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment"> /// \param encodedPoint byte array with the encoded point</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment"> /// \param len the size of the array</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment"> /// \returns true if a point was decoded, false otherwise</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment"></span> <span class="keyword">virtual</span> <span class="keywordtype">bool</span> <a class="code" href="class_encoded_point.html#a844fcbf759f55bca8fc2ae13bda5569f">DecodePoint</a>(Point &P, <span class="keyword">const</span> <span class="keywordtype">byte</span> *encodedPoint, <span class="keywordtype">size_t</span> len) <span class="keyword">const</span> =0;</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"></span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment"> /// \brief Verifies points on elliptic curve</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"> /// \param P point to verify</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> /// \returns true if the point is valid, false otherwise</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"></span> <span class="keyword">virtual</span> <span class="keywordtype">bool</span> <a class="code" href="class_encoded_point.html#a3811a1f1385f673a1663df614c87c001">VerifyPoint</a>(<span class="keyword">const</span> Point &P) <span class="keyword">const</span> =0;</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment"></span></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment"> /// \brief Determines encoded point size</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"> /// \param compressed flag indicating if the point is compressed</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> /// \returns the minimum number of bytes required to encode the point</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment"></span> <span class="keyword">virtual</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="class_encoded_point.html#a1b4f38ed795723db0773af1b30874e46">EncodedPointSize</a>(<span class="keywordtype">bool</span> compressed = <span class="keyword">false</span>) <span class="keyword">const</span> =0;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"></span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment"> /// \brief Encodes an elliptic curve point</span></div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment"> /// \param P point which is decoded</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment"> /// \param encodedPoint byte array for the encoded point</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment"> /// \param compressed flag indicating if the point is compressed</span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment"> /// \details <tt>encodedPoint</tt> must be at least EncodedPointSize() in length</span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"></span> <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="class_encoded_point.html#a38676be5408ca8d5b76864d0d05871cc">EncodePoint</a>(<span class="keywordtype">byte</span> *encodedPoint, <span class="keyword">const</span> Point &P, <span class="keywordtype">bool</span> compressed) <span class="keyword">const</span> =0;</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment"></span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> /// \brief Encodes an elliptic curve point</span></div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> /// \param bt target BufferedTransformation</span></div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"> /// \param P point which is encoded</span></div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"> /// \param compressed flag indicating if the point is compressed</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"></span> <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="class_encoded_point.html#a38676be5408ca8d5b76864d0d05871cc">EncodePoint</a>(<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> =0;</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"></span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> /// \brief BER Decodes an elliptic curve point</span></div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> /// \param bt source BufferedTransformation</span></div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="comment"> /// \returns the decoded elliptic curve point</span></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="comment"></span> <span class="keyword">virtual</span> Point <a class="code" href="class_encoded_point.html#aeac00b790920c54c03fcec814c3d35a1">BERDecodePoint</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt) <span class="keyword">const</span> =0;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment"></span></div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="comment"> /// \brief DER Encodes an elliptic curve point</span></div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="comment"> /// \param bt target BufferedTransformation</span></div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment"> /// \param P point which is encoded</span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="comment"> /// \param compressed flag indicating if the point is compressed</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="comment"></span> <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="class_encoded_point.html#a81265b6ace320959d2dbc13a4438fcc1">DEREncodePoint</a>(<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> =0;</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span> };</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span> </div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span> NAMESPACE_END</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> <span class="preprocessor">#endif // CRYPTOPP_ECPOINT_H</span></div><div class="ttc" id="class_encoded_point_html_a844fcbf759f55bca8fc2ae13bda5569f"><div class="ttname"><a href="class_encoded_point.html#a844fcbf759f55bca8fc2ae13bda5569f">EncodedPoint::DecodePoint</a></div><div class="ttdeci">virtual bool DecodePoint(Point &P, BufferedTransformation &bt, size_t len) const =0</div><div class="ttdoc">Decodes an elliptic curve point.</div></div>
<div class="ttc" id="class_encoded_point_html_a1b4f38ed795723db0773af1b30874e46"><div class="ttname"><a href="class_encoded_point.html#a1b4f38ed795723db0773af1b30874e46">EncodedPoint::EncodedPointSize</a></div><div class="ttdeci">virtual unsigned int EncodedPointSize(bool compressed=false) const =0</div><div class="ttdoc">Determines encoded point size.</div></div>
<div class="ttc" id="struct_e_c2_n_point_html_a7194b438469d65ae8b5cf753ef64820f"><div class="ttname"><a href="struct_e_c2_n_point.html#a7194b438469d65ae8b5cf753ef64820f">EC2NPoint::operator==</a></div><div class="ttdeci">bool operator==(const EC2NPoint &t) const</div><div class="ttdoc">Tests points for equality.</div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00069">ecpoint.h:69</a></div></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_encoded_point_html_a81265b6ace320959d2dbc13a4438fcc1"><div class="ttname"><a href="class_encoded_point.html#a81265b6ace320959d2dbc13a4438fcc1">EncodedPoint::DEREncodePoint</a></div><div class="ttdeci">virtual void DEREncodePoint(BufferedTransformation &bt, const Point &P, bool compressed) const =0</div><div class="ttdoc">DER Encodes an elliptic curve point.</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="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="class_polynomial_mod2_html"><div class="ttname"><a href="class_polynomial_mod2.html">PolynomialMod2</a></div><div class="ttdoc">Polynomial with Coefficients in GF(2)</div><div class="ttdef"><b>Definition:</b> <a href="gf2n_8h_source.html#l00026">gf2n.h:26</a></div></div>
<div class="ttc" id="class_encoded_point_html_a38676be5408ca8d5b76864d0d05871cc"><div class="ttname"><a href="class_encoded_point.html#a38676be5408ca8d5b76864d0d05871cc">EncodedPoint::EncodePoint</a></div><div class="ttdeci">virtual void EncodePoint(byte *encodedPoint, const Point &P, bool compressed) const =0</div><div class="ttdoc">Encodes an elliptic curve point.</div></div>
<div class="ttc" id="class_encoded_point_html_aeac00b790920c54c03fcec814c3d35a1"><div class="ttname"><a href="class_encoded_point.html#aeac00b790920c54c03fcec814c3d35a1">EncodedPoint::BERDecodePoint</a></div><div class="ttdeci">virtual Point BERDecodePoint(BufferedTransformation &bt) const =0</div><div class="ttdoc">BER Decodes an elliptic curve point.</div></div>
<div class="ttc" id="class_encoded_point_html_a3811a1f1385f673a1663df614c87c001"><div class="ttname"><a href="class_encoded_point.html#a3811a1f1385f673a1663df614c87c001">EncodedPoint::VerifyPoint</a></div><div class="ttdeci">virtual bool VerifyPoint(const Point &P) const =0</div><div class="ttdoc">Verifies points on elliptic curve.</div></div>
<div class="ttc" id="struct_e_c_p_point_html_ac68bc9990c364313b6798669de55343f"><div class="ttname"><a href="struct_e_c_p_point.html#ac68bc9990c364313b6798669de55343f">ECPPoint::ECPPoint</a></div><div class="ttdeci">ECPPoint(const Integer &x, const Integer &y)</div><div class="ttdoc">Construct an ECPPoint from coordinates.</div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00030">ecpoint.h:30</a></div></div>
<div class="ttc" id="asn_8h_html_a9485364a916ed0474eb263a307ecc0f0"><div class="ttname"><a href="asn_8h.html#a9485364a916ed0474eb263a307ecc0f0">operator<</a></div><div class="ttdeci">bool operator<(const OID &lhs, const OID &rhs)</div><div class="ttdoc">Compare two OIDs for ordering.</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="gf2n_8h_html"><div class="ttname"><a href="gf2n_8h.html">gf2n.h</a></div><div class="ttdoc">Classes and functions for schemes over GF(2^n)</div></div>
<div class="ttc" id="struct_e_c_p_point_html_a9d6d4c25d6c2777d7e9bb27e3b0d2c37"><div class="ttname"><a href="struct_e_c_p_point.html#a9d6d4c25d6c2777d7e9bb27e3b0d2c37">ECPPoint::ECPPoint</a></div><div class="ttdeci">ECPPoint()</div><div class="ttdoc">Construct an ECPPoint.</div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00026">ecpoint.h:26</a></div></div>
<div class="ttc" id="struct_e_c_p_point_html_a5ae4985582faed6b388c8f3ff9bbc1e7"><div class="ttname"><a href="struct_e_c_p_point.html#a5ae4985582faed6b388c8f3ff9bbc1e7">ECPPoint::operator==</a></div><div class="ttdeci">bool operator==(const ECPPoint &t) const</div><div class="ttdoc">Tests points for equality.</div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00036">ecpoint.h:36</a></div></div>
<div class="ttc" id="class_abstract_group_html"><div class="ttname"><a href="class_abstract_group.html">AbstractGroup< ECPPoint ></a></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="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="struct_e_c2_n_point_html_a44b8d1ff66cc2b6a05c72d5d2669b65b"><div class="ttname"><a href="struct_e_c2_n_point.html#a44b8d1ff66cc2b6a05c72d5d2669b65b">EC2NPoint::EC2NPoint</a></div><div class="ttdeci">EC2NPoint()</div><div class="ttdoc">Construct an EC2NPoint.</div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00059">ecpoint.h:59</a></div></div>
<div class="ttc" id="namespace_crypto_p_p_html"><div class="ttname"><a href="namespace_crypto_p_p.html">CryptoPP</a></div><div class="ttdoc">Crypto++ library namespace.</div></div>
<div class="ttc" id="struct_e_c2_n_point_html"><div class="ttname"><a href="struct_e_c2_n_point.html">EC2NPoint</a></div><div class="ttdoc">Elliptical Curve Point over GF(2^n)</div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00053">ecpoint.h:53</a></div></div>
<div class="ttc" id="struct_e_c2_n_point_html_a7ea8ec548d653530054aeb9c4c54e24d"><div class="ttname"><a href="struct_e_c2_n_point.html#a7ea8ec548d653530054aeb9c4c54e24d">EC2NPoint::EC2NPoint</a></div><div class="ttdeci">EC2NPoint(const PolynomialMod2 &x, const PolynomialMod2 &y)</div><div class="ttdoc">Construct an EC2NPoint from coordinates.</div><div class="ttdef"><b>Definition:</b> <a href="ecpoint_8h_source.html#l00063">ecpoint.h:63</a></div></div>
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