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<div class="title">P521.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> * Copyright (C) 2016 Southern Storm Software, Pty Ltd.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> * Permission is hereby granted, free of charge, to any person obtaining a</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> * copy of this software and associated documentation files (the &quot;Software&quot;),</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> * to deal in the Software without restriction, including without limitation</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> * the rights to use, copy, modify, merge, publish, distribute, sublicense,</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * and/or sell copies of the Software, and to permit persons to whom the</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"> * Software is furnished to do so, subject to the following conditions:</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"> * The above copyright notice and this permission notice shall be included</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment"> * in all copies or substantial portions of the Software.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment"> * THE SOFTWARE IS PROVIDED &quot;AS IS&quot;, WITHOUT WARRANTY OF ANY KIND, EXPRESS</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment"> * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment"> * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment"> * DEALINGS IN THE SOFTWARE.</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#ifndef CRYPTO_P521_h</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define CRYPTO_P521_h</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#include &quot;BigNumberUtil.h&quot;</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="keyword">class </span><a class="code" href="classHash.html">Hash</a>;</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classP521.html"> 30</a></span>&#160;<span class="keyword">class </span><a class="code" href="classP521.html">P521</a></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;{</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classP521.html#ac2e07ce7e846ba180938b41b4a2ae563">eval</a>(uint8_t result[132], <span class="keyword">const</span> uint8_t f[66], <span class="keyword">const</span> uint8_t point[132]);</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classP521.html#ae04c439804f445535295bf44ae56afbf">dh1</a>(uint8_t k[132], uint8_t f[66]);</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classP521.html#a7b9d4f74cc2d71a488a33ab165537491">dh2</a>(<span class="keyword">const</span> uint8_t k[132], uint8_t f[66]);</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classP521.html#ab050ceff65e49b646b8157fe1474288a">sign</a>(uint8_t signature[132], <span class="keyword">const</span> uint8_t privateKey[66],</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="keyword">const</span> <span class="keywordtype">void</span> *message, <span class="keywordtype">size_t</span> len, <a class="code" href="classHash.html">Hash</a> *hash = 0);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classP521.html#ab075909f5cecbb801c6b7c41f20de223">verify</a>(<span class="keyword">const</span> uint8_t signature[132],</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keyword">const</span> uint8_t publicKey[132],</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keyword">const</span> <span class="keywordtype">void</span> *message, <span class="keywordtype">size_t</span> len, <a class="code" href="classHash.html">Hash</a> *hash = 0);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classP521.html#ae5b727018648e4a165f504024c4ccc45">generatePrivateKey</a>(uint8_t privateKey[66]);</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classP521.html#a15ca802e298c7ff3be06924b0edb7daa">derivePublicKey</a>(uint8_t publicKey[132], <span class="keyword">const</span> uint8_t privateKey[66]);</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classP521.html#a5802ebd25142789bb2df930ecd765d39">isValidPrivateKey</a>(<span class="keyword">const</span> uint8_t privateKey[66]);</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classP521.html#af0bd7851bb15b737a821320b394aec96">isValidPublicKey</a>(<span class="keyword">const</span> uint8_t publicKey[132]);</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;</div>
<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classP521.html#a3f045e0b7a483fc557747472ade31298"> 51</a></span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classP521.html#a3f045e0b7a483fc557747472ade31298">isValidCurvePoint</a>(<span class="keyword">const</span> uint8_t point[132])</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classP521.html#af0bd7851bb15b737a821320b394aec96">isValidPublicKey</a>(point);</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="preprocessor">#if defined(TEST_P521_FIELD_OPS)</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="preprocessor"></span><span class="keyword">public</span>:</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="preprocessor"></span><span class="keyword">private</span>:</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="preprocessor"></span> <span class="keyword">static</span> <span class="keywordtype">void</span> evaluate(limb_t *x, limb_t *y, <span class="keyword">const</span> uint8_t f[66]);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> addAffine(limb_t *x1, limb_t *y1,</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keyword">const</span> limb_t *x2, <span class="keyword">const</span> limb_t *y2);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> validate(<span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> inRange(<span class="keyword">const</span> limb_t *x);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> reduce(limb_t *result, <span class="keyword">const</span> limb_t *x);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> reduceQuick(limb_t *x);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mulNoReduce(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mul(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> square(limb_t *result, <span class="keyword">const</span> limb_t *x)</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; {</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; mul(result, x, x);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; }</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mulLiteral(limb_t *result, <span class="keyword">const</span> limb_t *x, limb_t y);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> add(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> sub(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> dblPoint(limb_t *xout, limb_t *yout, limb_t *zout,</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keyword">const</span> limb_t *xin, <span class="keyword">const</span> limb_t *yin,</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keyword">const</span> limb_t *zin);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> addPoint(limb_t *xout, limb_t *yout, limb_t *zout,</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="keyword">const</span> limb_t *x1, <span class="keyword">const</span> limb_t *y1,</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keyword">const</span> limb_t *z1, <span class="keyword">const</span> limb_t *x2,</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keyword">const</span> limb_t *y2);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> cmove(limb_t select, limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> cmove1(limb_t select, limb_t *x);</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> recip(limb_t *result, <span class="keyword">const</span> limb_t *x);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> reduceQ(limb_t *result, <span class="keyword">const</span> limb_t *r);</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mulQ(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> recipQ(limb_t *result, <span class="keyword">const</span> limb_t *x);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> generateK(uint8_t k[66], <span class="keyword">const</span> uint8_t hm[66],</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="keyword">const</span> uint8_t x[66], <a class="code" href="classHash.html">Hash</a> *hash, uint64_t count);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> generateK(uint8_t k[66], <span class="keyword">const</span> uint8_t hm[66],</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keyword">const</span> uint8_t x[66], uint64_t count);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="comment">// Constructor and destructor are private - cannot instantiate this class.</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <a class="code" href="classP521.html">P521</a>() {}</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; ~<a class="code" href="classP521.html">P521</a>() {}</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;};</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="classP521_html_ac2e07ce7e846ba180938b41b4a2ae563"><div class="ttname"><a href="classP521.html#ac2e07ce7e846ba180938b41b4a2ae563">P521::eval</a></div><div class="ttdeci">static bool eval(uint8_t result[132], const uint8_t f[66], const uint8_t point[132])</div><div class="ttdoc">Evaluates the curve function. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8cpp_source.html#l00135">P521.cpp:135</a></div></div>
<div class="ttc" id="classP521_html"><div class="ttname"><a href="classP521.html">P521</a></div><div class="ttdoc">Elliptic curve operations with the NIST P-521 curve. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8h_source.html#l00030">P521.h:30</a></div></div>
<div class="ttc" id="classP521_html_ae5b727018648e4a165f504024c4ccc45"><div class="ttname"><a href="classP521.html#ae5b727018648e4a165f504024c4ccc45">P521::generatePrivateKey</a></div><div class="ttdeci">static void generatePrivateKey(uint8_t privateKey[66])</div><div class="ttdoc">Generates a private key for P-521 signing operations. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8cpp_source.html#l00466">P521.cpp:466</a></div></div>
<div class="ttc" id="classP521_html_a7b9d4f74cc2d71a488a33ab165537491"><div class="ttname"><a href="classP521.html#a7b9d4f74cc2d71a488a33ab165537491">P521::dh2</a></div><div class="ttdeci">static bool dh2(const uint8_t k[132], uint8_t f[66])</div><div class="ttdoc">Performs phase 2 of an ECDH key exchange using P-521. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8cpp_source.html#l00229">P521.cpp:229</a></div></div>
<div class="ttc" id="classHash_html"><div class="ttname"><a href="classHash.html">Hash</a></div><div class="ttdoc">Abstract base class for cryptographic hash algorithms. </div><div class="ttdef"><b>Definition:</b> <a href="Hash_8h_source.html#l00029">Hash.h:29</a></div></div>
<div class="ttc" id="classP521_html_a5802ebd25142789bb2df930ecd765d39"><div class="ttname"><a href="classP521.html#a5802ebd25142789bb2df930ecd765d39">P521::isValidPrivateKey</a></div><div class="ttdeci">static bool isValidPrivateKey(const uint8_t privateKey[66])</div><div class="ttdoc">Validates a private key value to ensure that it is between 1 and q - 1. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8cpp_source.html#l00524">P521.cpp:524</a></div></div>
<div class="ttc" id="classP521_html_a15ca802e298c7ff3be06924b0edb7daa"><div class="ttname"><a href="classP521.html#a15ca802e298c7ff3be06924b0edb7daa">P521::derivePublicKey</a></div><div class="ttdeci">static void derivePublicKey(uint8_t publicKey[132], const uint8_t privateKey[66])</div><div class="ttdoc">Derives the public key from a private key for P-521 signing operations. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8cpp_source.html#l00497">P521.cpp:497</a></div></div>
<div class="ttc" id="classP521_html_ab050ceff65e49b646b8157fe1474288a"><div class="ttname"><a href="classP521.html#ab050ceff65e49b646b8157fe1474288a">P521::sign</a></div><div class="ttdeci">static void sign(uint8_t signature[132], const uint8_t privateKey[66], const void *message, size_t len, Hash *hash=0)</div><div class="ttdoc">Signs a message using a specific P-521 private key. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8cpp_source.html#l00276">P521.cpp:276</a></div></div>
<div class="ttc" id="classP521_html_ae04c439804f445535295bf44ae56afbf"><div class="ttname"><a href="classP521.html#ae04c439804f445535295bf44ae56afbf">P521::dh1</a></div><div class="ttdeci">static void dh1(uint8_t k[132], uint8_t f[66])</div><div class="ttdoc">Performs phase 1 of an ECDH key exchange using P-521. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8cpp_source.html#l00208">P521.cpp:208</a></div></div>
<div class="ttc" id="classP521_html_ab075909f5cecbb801c6b7c41f20de223"><div class="ttname"><a href="classP521.html#ab075909f5cecbb801c6b7c41f20de223">P521::verify</a></div><div class="ttdeci">static bool verify(const uint8_t signature[132], const uint8_t publicKey[132], const void *message, size_t len, Hash *hash=0)</div><div class="ttdoc">Verifies a signature using a specific P-521 public key. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8cpp_source.html#l00373">P521.cpp:373</a></div></div>
<div class="ttc" id="classP521_html_af0bd7851bb15b737a821320b394aec96"><div class="ttname"><a href="classP521.html#af0bd7851bb15b737a821320b394aec96">P521::isValidPublicKey</a></div><div class="ttdeci">static bool isValidPublicKey(const uint8_t publicKey[132])</div><div class="ttdoc">Validates a public key to ensure that it is a valid curve point. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8cpp_source.html#l00564">P521.cpp:564</a></div></div>
<div class="ttc" id="classP521_html_a3f045e0b7a483fc557747472ade31298"><div class="ttname"><a href="classP521.html#a3f045e0b7a483fc557747472ade31298">P521::isValidCurvePoint</a></div><div class="ttdeci">static bool isValidCurvePoint(const uint8_t point[132])</div><div class="ttdoc">Validates a point to ensure that it is on the curve. </div><div class="ttdef"><b>Definition:</b> <a href="P521_8h_source.html#l00051">P521.h:51</a></div></div>
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