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<div class="headertitle"><div class="title">elliptic_curve_key_exchange.cpp</div></div>
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<div class="contents">
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<a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include "<a class="code" href="../../da/da3/uint256__t_8hpp.html">uint256_t.hpp</a>"</span> </div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d6/d4e/namespaceciphers.html">ciphers</a> {</div>
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<div class="foldopen" id="foldopen00040" data-start="{" data-end="}">
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html"> 40</a></span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html">elliptic_curve_key_exchange</a> {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span></div>
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<div class="foldopen" id="foldopen00046" data-start="{" data-end="};">
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html"> 46</a></span><span class="keyword">typedef</span> <span class="keyword">struct </span><a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> {</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> x, y; </div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span></div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#a5084e9ca27837662c31d4dc003815446"> 55</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#a5084e9ca27837662c31d4dc003815446">operator==</a>(<span class="keyword">const</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> &p) { <span class="keywordflow">return</span> x == p.x && y == p.y; }</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span></div>
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<div class="foldopen" id="foldopen00063" data-start="{" data-end="}">
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#af2142b27241b28f835e8ce78d7d6463c"> 63</a></span> <span class="keyword">friend</span> std::ostream &<a class="code hl_friend" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#af2142b27241b28f835e8ce78d7d6463c">operator<<</a>(std::ostream &op, <span class="keyword">const</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> &p) {</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> op << p.x << <span class="stringliteral">" "</span> << p.y;</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">return</span> op;</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> }</div>
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</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#af0a6e3521629c25c2b5d620f26429830"> 67</a></span>} <a class="code hl_struct" href="../../d8/dc8/struct_point.html">Point</a>;</div>
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</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span></div>
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<div class="foldopen" id="foldopen00078" data-start="{" data-end="}">
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0"> 78</a></span><a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(<a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> number, <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>, <span class="keyword">const</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> &mod) {</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>) {</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(1);</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> ans(1);</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> number = number % mod;</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">while</span> (<a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>) {</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">if</span> ((<a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a> & 1)) {</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> ans = (ans * number) % mod;</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> }</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a> >>= 1;</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>) {</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> number = (number * number) % mod;</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> }</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> }</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">return</span> ans;</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span>}</div>
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</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span></div>
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<div class="foldopen" id="foldopen00110" data-start="{" data-end="}">
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf"> 110</a></span><a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">addition</a>(<a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> a, <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> b, <span class="keyword">const</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> &curve_a_coeff,</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> mod) {</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> lambda(0); </div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> zero(0); </div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> lambda = zero = 0;</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> inf = ~zero;</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">if</span> (a.x != b.x || a.y != b.y) {</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// Slope being infinite.</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">if</span> (b.x == a.x) {</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordflow">return</span> {inf, inf};</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> }</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> num = (b.y - a.y + mod), den = (b.x - a.x + mod);</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> lambda = (num * (<a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(den, mod - 2, mod))) % mod;</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">if</span> (!a.y) {</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">return</span> {inf, inf};</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> }</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> axsq = ((a.x * a.x)) % mod;</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="comment">// Mulitply by 3 adjustment</span></div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> axsq += (axsq << 1);</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> axsq %= mod;</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// Mulitply by 2 adjustment</span></div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> a_2 = (a.y << 1);</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> lambda =</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> (((axsq + curve_a_coeff) % mod) * <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(a_2, mod - 2, mod)) % mod;</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> }</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> c;</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="comment">// new point: x = ((lambda^2) - x1 - x2)</span></div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="comment">// y = (lambda * (x1 - x)) - y1</span></div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> c.x = ((lambda * lambda) % mod + (mod << 1) - a.x - b.x) % mod;</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> c.y = (((lambda * (a.x + mod - c.x)) % mod) + mod - a.y) % mod;</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordflow">return</span> c;</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span>}</div>
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</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span></div>
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<div class="foldopen" id="foldopen00165" data-start="{" data-end="}">
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2"> 165</a></span><a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(<span class="keyword">const</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> &a, <span class="keyword">const</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> &curve_a_coeff, <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> p,</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">const</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> &mod) {</div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> N = a;</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> N.x %= mod;</div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> N.y %= mod;</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> inf{};</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> inf = <a class="code hl_class" href="../../d1/d83/classuint256__t.html">~uint256_t</a>(0);</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> Q = {inf, inf};</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordflow">while</span> (p) {</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordflow">if</span> ((p & 1)) {</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordflow">if</span> (Q.x == inf && Q.y == inf) {</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> Q.x = N.x;</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> Q.y = N.y;</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> Q = <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">addition</a>(Q, N, curve_a_coeff, mod);</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> }</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> }</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> p >>= 1;</div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keywordflow">if</span> (p) {</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> N = <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">addition</a>(N, N, curve_a_coeff, mod);</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> }</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> }</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keywordflow">return</span> Q;</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span>}</div>
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</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span>} <span class="comment">// namespace elliptic_curve_key_exchange</span></div>
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</div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span>} <span class="comment">// namespace ciphers</span></div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span></div>
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<div class="foldopen" id="foldopen00197" data-start="{" data-end="}">
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"><a class="line" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4"> 197</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4">uint128_t_tests</a>() {</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// 1st test: Operations test</span></div>
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|
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a> a(<span class="stringliteral">"122"</span>), b(<span class="stringliteral">"2312"</span>);</div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> assert(a + b == 2434);</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> assert(b - a == 2190);</div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> assert(a * b == 282064);</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> assert(b / a == 18);</div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> assert(b % a == 116);</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> assert((a & b) == 8);</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> assert((a | b) == 2426);</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> assert((a ^ b) == 2418);</div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> assert((a << 64) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"2250502776992565297152"</span>));</div>
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|
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> assert((b >> 7) == 18);</div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> </div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// 2nd test: Operations test</span></div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> a = <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424232142122"</span>);</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> b = <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"23123212"</span>);</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> assert(a + b == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424255265334"</span>));</div>
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|
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> assert(a - b == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424209018910"</span>));</div>
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|
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> assert(a * b == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"284910839733861759501135864"</span>));</div>
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|
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> assert(a / b == 532859423865LL);</div>
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|
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> assert(a % b == 3887742);</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> assert((a & b) == 18912520);</div>
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|
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> assert((a | b) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424236352814"</span>));</div>
|
|
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> assert((a ^ b) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424217440294"</span>));</div>
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|
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> assert((a << 64) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"227290107637132170748078080907806769152"</span>));</div>
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|
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span>}</div>
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</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span></div>
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|
<div class="foldopen" id="foldopen00230" data-start="{" data-end="}">
|
|
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"><a class="line" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae"> 230</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae">uint256_t_tests</a>() {</div>
|
|
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="comment">// 1st test: Operations test</span></div>
|
|
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> a(<span class="stringliteral">"122"</span>), b(<span class="stringliteral">"2312"</span>);</div>
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|
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> assert(a + b == 2434);</div>
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|
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> assert(b - a == 2190);</div>
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|
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> assert(a * b == 282064);</div>
|
|
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> assert(b / a == 18);</div>
|
|
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> assert(b % a == 116);</div>
|
|
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> assert((a & b) == 8);</div>
|
|
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> assert((a | b) == 2426);</div>
|
|
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> assert((a ^ b) == 2418);</div>
|
|
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> assert((a << 64) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"2250502776992565297152"</span>));</div>
|
|
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> assert((b >> 7) == 18);</div>
|
|
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
|
|
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="comment">// 2nd test: Operations test</span></div>
|
|
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> a = <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"12321423124513251424232142122"</span>);</div>
|
|
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> b = <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"23124312431243243215354315132413213212"</span>);</div>
|
|
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> assert(a + b == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"23124312443564666339867566556645355334"</span>));</div>
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|
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="comment">// Since a < b, the value is greater</span></div>
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|
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> assert(a - b == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"115792089237316195423570985008687907853246860353"</span></div>
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|
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="stringliteral">"221642219366742944204948568846"</span>));</div>
|
|
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> assert(a * b == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"284924437928789743312147393953938013677909398222"</span></div>
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|
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="stringliteral">"169728183872115864"</span>));</div>
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|
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> assert(b / a == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"1876756621"</span>));</div>
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|
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> assert(b % a == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"2170491202688962563936723450"</span>));</div>
|
|
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> assert((a & b) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"3553901085693256462344"</span>));</div>
|
|
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> assert((a | b) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"23124312443564662785966480863388892990"</span>));</div>
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|
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> assert((a ^ b) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"23124312443564659232065395170132430646"</span>));</div>
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|
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> assert((a << 128) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"4192763024643754272961909047609369343091683"</span></div>
|
|
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="stringliteral">"376561852756163540549632"</span>));</div>
|
|
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span>}</div>
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|
</div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span></div>
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<div class="foldopen" id="foldopen00267" data-start="{" data-end="}">
|
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"><a class="line" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 267</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
|
|
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="comment">// demonstration of key exchange using curve secp112r1</span></div>
|
|
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> </div>
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|
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="comment">// Equation of the form y^2 = (x^3 + ax + b) % P (here p is mod)</span></div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> a(<span class="stringliteral">"4451685225093714772084598273548424"</span>),</div>
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|
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> b(<span class="stringliteral">"2061118396808653202902996166388514"</span>),</div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> mod(<span class="stringliteral">"4451685225093714772084598273548427"</span>);</div>
|
|
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> </div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="comment">// Generator value: is pre-defined for the given curve</span></div>
|
|
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> ptr = {</div>
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|
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"188281465057972534892223778713752"</span>),</div>
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|
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"3419875491033170827167861896082688"</span>)};</div>
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|
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> </div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="comment">// Shared key generation.</span></div>
|
|
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="comment">// For alice</span></div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> std::cout << <span class="stringliteral">"For alice:\n"</span>;</div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="comment">// Alice's private key (can be generated randomly)</span></div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> alice_private_key(<span class="stringliteral">"164330438812053169644452143505618"</span>);</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> alice_public_key =</div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(ptr, a, alice_private_key, mod);</div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> std::cout << <span class="stringliteral">"\tPrivate key: "</span> << alice_private_key << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> std::cout << <span class="stringliteral">"\tPublic Key: "</span> << alice_public_key << std::endl;</div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> </div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="comment">// For Bob</span></div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> std::cout << <span class="stringliteral">"For Bob:\n"</span>;</div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="comment">// Bob's private key (can be generated randomly)</span></div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> bob_private_key(<span class="stringliteral">"1959473333748537081510525763478373"</span>);</div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> bob_public_key =</div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(ptr, a, bob_private_key, mod);</div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> std::cout << <span class="stringliteral">"\tPrivate key: "</span> << bob_private_key << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> std::cout << <span class="stringliteral">"\tPublic Key: "</span> << bob_public_key << std::endl;</div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> </div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="comment">// After public key exchange, create a shared key for communication.</span></div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="comment">// create shared key:</span></div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> alice_shared_key = <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(</div>
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<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> bob_public_key, a,</div>
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<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> alice_private_key, mod),</div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> bob_shared_key = <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(</div>
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<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> alice_public_key, a,</div>
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<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> bob_private_key, mod);</div>
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<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> </div>
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<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> std::cout << <span class="stringliteral">"Shared keys:\n"</span>;</div>
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<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> std::cout << alice_shared_key << std::endl;</div>
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<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> std::cout << bob_shared_key << std::endl;</div>
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<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> </div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <span class="comment">// Check whether shared keys are equal</span></div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> assert(alice_shared_key == bob_shared_key);</div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span>}</div>
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</div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span></div>
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<div class="foldopen" id="foldopen00320" data-start="{" data-end="}">
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"><a class="line" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 320</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4">uint128_t_tests</a>(); <span class="comment">// running predefined 128-bit unsigned integer tests</span></div>
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<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae">uint256_t_tests</a>(); <span class="comment">// running predefined 256-bit unsigned integer tests</span></div>
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<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// running self-test implementations</span></div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span>}</div>
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</div>
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<div class="ttc" id="aclassuint128__t_html"><div class="ttname"><a href="../../db/d9a/classuint128__t.html">uint128_t</a></div><div class="ttdoc">class for 128-bit unsigned integer</div><div class="ttdef"><b>Definition</b> <a href="../../da/d41/uint128__t_8hpp_source.html#l00060">uint128_t.hpp:60</a></div></div>
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<div class="ttc" id="aclassuint256__t_html"><div class="ttname"><a href="../../d1/d83/classuint256__t.html">uint256_t</a></div><div class="ttdoc">class for 256-bit unsigned integer</div><div class="ttdef"><b>Definition</b> <a href="../../da/da3/uint256__t_8hpp_source.html#l00033">uint256_t.hpp:33</a></div></div>
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<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_a37775d1724ffe404c088dabbc8da91ae"><div class="ttname"><a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae">uint256_t_tests</a></div><div class="ttdeci">static void uint256_t_tests()</div><div class="ttdoc">Function to test the uint256_t header.</div><div class="ttdef"><b>Definition</b> <a href="#l00230">elliptic_curve_key_exchange.cpp:230</a></div></div>
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<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_a8800c8a84d77dadadb05ad5e83b77ef4"><div class="ttname"><a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4">uint128_t_tests</a></div><div class="ttdeci">static void uint128_t_tests()</div><div class="ttdoc">Function to test the uint128_t header.</div><div class="ttdef"><b>Definition</b> <a href="#l00197">elliptic_curve_key_exchange.cpp:197</a></div></div>
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<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Function to test the provided algorithm above.</div><div class="ttdef"><b>Definition</b> <a href="#l00267">elliptic_curve_key_exchange.cpp:267</a></div></div>
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<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00320">elliptic_curve_key_exchange.cpp:320</a></div></div>
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<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html">ciphers::elliptic_curve_key_exchange</a></div><div class="ttdoc">namespace elliptic_curve_key_exchange</div><div class="ttdef"><b>Definition</b> <a href="#l00040">elliptic_curve_key_exchange.cpp:40</a></div></div>
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<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html_a17f3d667241b88115a95282cdd719cb2"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">ciphers::elliptic_curve_key_exchange::multiply</a></div><div class="ttdeci">Point multiply(const Point &a, const uint256_t &curve_a_coeff, uint256_t p, const uint256_t &mod)</div><div class="ttdoc">multiply Point and integer</div><div class="ttdef"><b>Definition</b> <a href="#l00165">elliptic_curve_key_exchange.cpp:165</a></div></div>
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<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html_ac00616a4e40d3cd5cfb4da87d9ff9af0"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">ciphers::elliptic_curve_key_exchange::exp</a></div><div class="ttdeci">uint256_t exp(uint256_t number, uint256_t power, const uint256_t &mod)</div><div class="ttdoc">This function calculates number raised to exponent power under modulo mod using Modular Exponentiatio...</div><div class="ttdef"><b>Definition</b> <a href="#l00078">elliptic_curve_key_exchange.cpp:78</a></div></div>
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<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html_acc5fe9c2032fb7582c38a20d1fa69bcf"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">ciphers::elliptic_curve_key_exchange::addition</a></div><div class="ttdeci">Point addition(Point a, Point b, const uint256_t &curve_a_coeff, uint256_t mod)</div><div class="ttdoc">Addition of points.</div><div class="ttdef"><b>Definition</b> <a href="#l00110">elliptic_curve_key_exchange.cpp:110</a></div></div>
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<div class="ttc" id="anamespaceciphers_html"><div class="ttname"><a href="../../d6/d4e/namespaceciphers.html">ciphers</a></div><div class="ttdoc">Algorithms for encryption and decryption.</div></div>
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_aa141a7904f0c4668bac112d652a3acf9"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a></div><div class="ttdeci">int multiply(int x, int res[], int res_size)</div><div class="ttdef"><b>Definition</b> <a href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00025">power_for_huge_numbers.cpp:25</a></div></div>
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_ae249a2af508aa94266023ce8aa81426f"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a></div><div class="ttdeci">void power(int x, int n)</div><div class="ttdef"><b>Definition</b> <a href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00056">power_for_huge_numbers.cpp:56</a></div></div>
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<div class="ttc" id="astruct_point_html"><div class="ttname"><a href="../../d8/dc8/struct_point.html">Point</a></div><div class="ttdef"><b>Definition</b> <a href="../../d8/d6c/line__segment__intersection_8cpp_source.html#l00012">line_segment_intersection.cpp:12</a></div></div>
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<div class="ttc" id="astructciphers_1_1elliptic__curve__key__exchange_1_1_point_html"><div class="ttname"><a href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a></div><div class="ttdoc">Definition of struct Point.</div><div class="ttdef"><b>Definition</b> <a href="#l00046">elliptic_curve_key_exchange.cpp:46</a></div></div>
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<div class="ttc" id="astructciphers_1_1elliptic__curve__key__exchange_1_1_point_html_a5084e9ca27837662c31d4dc003815446"><div class="ttname"><a href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#a5084e9ca27837662c31d4dc003815446">ciphers::elliptic_curve_key_exchange::Point::operator==</a></div><div class="ttdeci">bool operator==(const Point &p)</div><div class="ttdoc">x and y co-ordinates</div><div class="ttdef"><b>Definition</b> <a href="#l00055">elliptic_curve_key_exchange.cpp:55</a></div></div>
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<div class="ttc" id="astructciphers_1_1elliptic__curve__key__exchange_1_1_point_html_af2142b27241b28f835e8ce78d7d6463c"><div class="ttname"><a href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#af2142b27241b28f835e8ce78d7d6463c">ciphers::elliptic_curve_key_exchange::Point::operator<<</a></div><div class="ttdeci">friend std::ostream & operator<<(std::ostream &op, const Point &p)</div><div class="ttdoc">ostream operator for printing Point</div><div class="ttdef"><b>Definition</b> <a href="#l00063">elliptic_curve_key_exchange.cpp:63</a></div></div>
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<div class="ttc" id="auint256__t_8hpp_html"><div class="ttname"><a href="../../da/da3/uint256__t_8hpp.html">uint256_t.hpp</a></div></div>
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