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<a href="ecp2__BN254_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>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> Licensed to the Apache Software Foundation (ASF) under one</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> or more contributor license agreements. See the NOTICE file</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> distributed with this work for additional information</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> regarding copyright ownership. The ASF licenses this file</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> to you under the Apache License, Version 2.0 (the</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> &quot;License&quot;); you may not use this file except in compliance</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> with the License. You may obtain a copy of the License at</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment"> Unless required by applicable law or agreed to in writing,</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"> software distributed under the License is distributed on an</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment"> &quot;AS IS&quot; BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> KIND, either express or implied. See the License for the</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> specific language governing permissions and limitations</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> under the License.</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#ifndef ECP2_BN254_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define ECP2_BN254_H</span></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"> 30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="fp2__BN254_8h.html">fp2_BN254.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;config_curve_BN254.h&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;</div><div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="structECP2__BN254.html"> 37</a></span>&#160;<span class="keyword">typedef</span> <span class="keyword">struct</span></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="comment">// int inf; /**&lt; Infinity Flag */</span></div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structECP2__BN254.html#a633afc8d493db0e783a367dfee54af09"> 40</a></span>&#160; <a class="code" href="structFP2__BN254.html">FP2_BN254</a> <a class="code" href="structECP2__BN254.html#a633afc8d493db0e783a367dfee54af09">x</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="structECP2__BN254.html#a1246b38f4143fdb63493ecd16804df47"> 41</a></span>&#160; <a class="code" href="structFP2__BN254.html">FP2_BN254</a> <a class="code" href="structECP2__BN254.html#a1246b38f4143fdb63493ecd16804df47">y</a>; </div><div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="structECP2__BN254.html#a337720a42e224384e888ea6781ada18c"> 42</a></span>&#160; <a class="code" href="structFP2__BN254.html">FP2_BN254</a> <a class="code" href="structECP2__BN254.html#a337720a42e224384e888ea6781ada18c">z</a>; </div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;} <a class="code" href="structECP2__BN254.html">ECP2_BN254</a>;</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;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="comment">/* Curve Params - see rom_zzz.c */</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#a17e7d485f5ec421e3f67ff3b94788479">CURVE_A_BN254</a>; </div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#ae9fb62302ecdbc0e758515f5eb949ab4">CURVE_B_I_BN254</a>; </div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#a74273c1fde193ac042ae38d12554ea22">CURVE_B_BN254</a>; </div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#abb2d701c7552c970f25f8047c105d25b">CURVE_Order_BN254</a>; </div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#ab4efa5228d54f90b5476fa92e1548538">CURVE_Cof_BN254</a>; </div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#a891b9fda048e66408bd6d66bf41d67ea">CURVE_Bnx_BN254</a>; </div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#abf41342afa7230d0288d37a140d4ee9d">Fra_BN254</a>; </div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#a85fadba81a01e0c26213ed65cbbe7471">Frb_BN254</a>; </div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="comment">/* Generator point on G1 */</span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#a17a02d1c46592b601745f60eee50305f">CURVE_Gx_BN254</a>; </div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#a952fba8aa78ec6c68fbfa44ad59f330c">CURVE_Gy_BN254</a>; </div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="comment">/* For Pairings only */</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="comment">/* Generator point on G2 */</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#a1c193b9c65acb159adea021f1bb59e1d">CURVE_Pxa_BN254</a>; </div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#a836b37b410224115373eef28412171d1">CURVE_Pxb_BN254</a>; </div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#a564168fc10e24cad9f57bab976a0e3d4">CURVE_Pya_BN254</a>; </div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> <a class="code" href="ecp2__BN254_8h.html#a09da60900ce4878f1ddbe298cc77042f">CURVE_Pyb_BN254</a>; </div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="comment">/* ECP2 E(Fp2) prototypes */</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#a33085074d0751b05853f167d3db8d147">ECP2_BN254_isinf</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P);</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#ad8874e2a045c086ff06378f411bdea2c">ECP2_BN254_copy</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *Q);</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a1b8b66f30bf8180c9b9ce13cabef8ed5">ECP2_BN254_inf</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#ab658828ec441b7eb2ba3f0bb91e22f81">ECP2_BN254_equals</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *Q);</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#ad2e84b0df8d7a0d047e6df8f9139a406">ECP2_BN254_affine</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P);</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#a35c106e8fe281774fa98c87d2d45083c">ECP2_BN254_get</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *x,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *y,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P);</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a4ed476f4bbbaa8127ca0ca031048c04d">ECP2_BN254_output</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P);</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a7848eccea1a8b56906a979cda7c3c0c9">ECP2_BN254_outputxyz</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P);</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a8a7d59f3d5012616915282f8029e823a">ECP2_BN254_toOctet</a>(<a class="code" href="structoctet.html">octet</a> *S,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P);</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#a407091af8011693640727e5ee15ada96">ECP2_BN254_fromOctet</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structoctet.html">octet</a> *S);</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a6cf3f2bf367499bb8b9897deebbb1809">ECP2_BN254_rhs</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *r,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *x);</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#a46360b68aacd3e91e7fa741afba6072f">ECP2_BN254_set</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *x,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *y);</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#a06918d1705760b4b067e3265a3415924">ECP2_BN254_setx</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *x);</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a6b07cb8e5b2c708db3e83c045ac71a30">ECP2_BN254_neg</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P);</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#a8121a4f4f8d449069905cb4ebfe9ca84">ECP2_BN254_dbl</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P);</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="ecp2__BN254_8h.html#a936f6bb068aa0ce533e6dc51b56f7786">ECP2_BN254_add</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *Q);</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a645aa7bbf498d23b31c8dcb64621146c">ECP2_BN254_sub</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *Q);</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#aab6d595eee28622b5e6ae9012ae669a0">ECP2_BN254_mul</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a211e966c3b60d75f3ffc37bd0275aae0">ECP2_BN254_frob</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *f);</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#ab1680fe55ba7f579a15dcd00e4191c2f">ECP2_BN254_mul4</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *Q,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> *b);</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160;</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a7e5df7fb6c349319280abd3d8ebf1be2">ECP2_BN254_mapit</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structoctet.html">octet</a> *w);</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="ecp2__BN254_8h.html#a1ff46dbafe3bd6d23311134697672f10">ECP2_BN254_generator</a>(<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *G);</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="ecp2__BN254_8h_html_a46360b68aacd3e91e7fa741afba6072f"><div class="ttname"><a href="ecp2__BN254_8h.html#a46360b68aacd3e91e7fa741afba6072f">ECP2_BN254_set</a></div><div class="ttdeci">int ECP2_BN254_set(ECP2_BN254 *P, FP2_BN254 *x, FP2_BN254 *y)</div><div class="ttdoc">Set ECP2 to point(x,y) given x and y. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:253</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a17a02d1c46592b601745f60eee50305f"><div class="ttname"><a href="ecp2__BN254_8h.html#a17a02d1c46592b601745f60eee50305f">CURVE_Gx_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Gx_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a06918d1705760b4b067e3265a3415924"><div class="ttname"><a href="ecp2__BN254_8h.html#a06918d1705760b4b067e3265a3415924">ECP2_BN254_setx</a></div><div class="ttdeci">int ECP2_BN254_setx(ECP2_BN254 *P, FP2_BN254 *x)</div><div class="ttdoc">Set ECP to point(x,[y]) given x. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:275</div></div>
<div class="ttc" id="structECP2__BN254_html"><div class="ttname"><a href="structECP2__BN254.html">ECP2_BN254</a></div><div class="ttdoc">ECP2 Structure - Elliptic Curve Point over quadratic extension field. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.h:37</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a8121a4f4f8d449069905cb4ebfe9ca84"><div class="ttname"><a href="ecp2__BN254_8h.html#a8121a4f4f8d449069905cb4ebfe9ca84">ECP2_BN254_dbl</a></div><div class="ttdeci">int ECP2_BN254_dbl(ECP2_BN254 *P)</div><div class="ttdoc">Doubles an ECP2 instance P. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:304</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a564168fc10e24cad9f57bab976a0e3d4"><div class="ttname"><a href="ecp2__BN254_8h.html#a564168fc10e24cad9f57bab976a0e3d4">CURVE_Pya_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pya_BN254</div></div>
<div class="ttc" id="structFP2__BN254_html"><div class="ttname"><a href="structFP2__BN254.html">FP2_BN254</a></div><div class="ttdoc">FP2 Structure - quadratic extension field. </div><div class="ttdef"><b>Definition:</b> fp2_BN254.h:36</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a7e5df7fb6c349319280abd3d8ebf1be2"><div class="ttname"><a href="ecp2__BN254_8h.html#a7e5df7fb6c349319280abd3d8ebf1be2">ECP2_BN254_mapit</a></div><div class="ttdeci">void ECP2_BN254_mapit(ECP2_BN254 *P, octet *w)</div><div class="ttdoc">Maps random BIG to curve point of correct order. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:625</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a4ed476f4bbbaa8127ca0ca031048c04d"><div class="ttname"><a href="ecp2__BN254_8h.html#a4ed476f4bbbaa8127ca0ca031048c04d">ECP2_BN254_output</a></div><div class="ttdeci">void ECP2_BN254_output(ECP2_BN254 *P)</div><div class="ttdoc">Formats and outputs an ECP2 point to the console, converted to affine coordinates. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:142</div></div>
<div class="ttc" id="structECP2__BN254_html_a633afc8d493db0e783a367dfee54af09"><div class="ttname"><a href="structECP2__BN254.html#a633afc8d493db0e783a367dfee54af09">ECP2_BN254::x</a></div><div class="ttdeci">FP2_BN254 x</div><div class="ttdef"><b>Definition:</b> ecp2_BN254.h:40</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_ad2e84b0df8d7a0d047e6df8f9139a406"><div class="ttname"><a href="ecp2__BN254_8h.html#ad2e84b0df8d7a0d047e6df8f9139a406">ECP2_BN254_affine</a></div><div class="ttdeci">void ECP2_BN254_affine(ECP2_BN254 *P)</div><div class="ttdoc">Converts an ECP2 point from Projective (x,y,z) coordinates to affine (x,y) coordinates. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:105</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a1b8b66f30bf8180c9b9ce13cabef8ed5"><div class="ttname"><a href="ecp2__BN254_8h.html#a1b8b66f30bf8180c9b9ce13cabef8ed5">ECP2_BN254_inf</a></div><div class="ttdeci">void ECP2_BN254_inf(ECP2_BN254 *P)</div><div class="ttdoc">Set ECP2 to point-at-infinity. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:41</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_ab1680fe55ba7f579a15dcd00e4191c2f"><div class="ttname"><a href="ecp2__BN254_8h.html#ab1680fe55ba7f579a15dcd00e4191c2f">ECP2_BN254_mul4</a></div><div class="ttdeci">void ECP2_BN254_mul4(ECP2_BN254 *P, ECP2_BN254 *Q, BIG_256_56 *b)</div><div class="ttdoc">Calculates P=b[0]*Q[0]+b[1]*Q[1]+b[2]*Q[2]+b[3]*Q[3]. </div></div>
<div class="ttc" id="structoctet_html"><div class="ttname"><a href="structoctet.html">octet</a></div><div class="ttdoc">Portable representation of a big positive number. </div><div class="ttdef"><b>Definition:</b> amcl.h:209</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a35c106e8fe281774fa98c87d2d45083c"><div class="ttname"><a href="ecp2__BN254_8h.html#a35c106e8fe281774fa98c87d2d45083c">ECP2_BN254_get</a></div><div class="ttdeci">int ECP2_BN254_get(FP2_BN254 *x, FP2_BN254 *y, ECP2_BN254 *P)</div><div class="ttdoc">Extract x and y coordinates of an ECP2 point P. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:129</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a85fadba81a01e0c26213ed65cbbe7471"><div class="ttname"><a href="ecp2__BN254_8h.html#a85fadba81a01e0c26213ed65cbbe7471">Frb_BN254</a></div><div class="ttdeci">const BIG_256_56 Frb_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a09da60900ce4878f1ddbe298cc77042f"><div class="ttname"><a href="ecp2__BN254_8h.html#a09da60900ce4878f1ddbe298cc77042f">CURVE_Pyb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pyb_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_aab6d595eee28622b5e6ae9012ae669a0"><div class="ttname"><a href="ecp2__BN254_8h.html#aab6d595eee28622b5e6ae9012ae669a0">ECP2_BN254_mul</a></div><div class="ttdeci">void ECP2_BN254_mul(ECP2_BN254 *P, BIG_256_56 b)</div><div class="ttdoc">Multiplies an ECP2 instance P by a BIG, side-channel resistant. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:455</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a74273c1fde193ac042ae38d12554ea22"><div class="ttname"><a href="ecp2__BN254_8h.html#a74273c1fde193ac042ae38d12554ea22">CURVE_B_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_B_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a1ff46dbafe3bd6d23311134697672f10"><div class="ttname"><a href="ecp2__BN254_8h.html#a1ff46dbafe3bd6d23311134697672f10">ECP2_BN254_generator</a></div><div class="ttdeci">void ECP2_BN254_generator(ECP2_BN254 *G)</div><div class="ttdoc">Get Group Generator from ROM. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:714</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_ae9fb62302ecdbc0e758515f5eb949ab4"><div class="ttname"><a href="ecp2__BN254_8h.html#ae9fb62302ecdbc0e758515f5eb949ab4">CURVE_B_I_BN254</a></div><div class="ttdeci">const int CURVE_B_I_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a17e7d485f5ec421e3f67ff3b94788479"><div class="ttname"><a href="ecp2__BN254_8h.html#a17e7d485f5ec421e3f67ff3b94788479">CURVE_A_BN254</a></div><div class="ttdeci">const int CURVE_A_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a891b9fda048e66408bd6d66bf41d67ea"><div class="ttname"><a href="ecp2__BN254_8h.html#a891b9fda048e66408bd6d66bf41d67ea">CURVE_Bnx_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Bnx_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a211e966c3b60d75f3ffc37bd0275aae0"><div class="ttname"><a href="ecp2__BN254_8h.html#a211e966c3b60d75f3ffc37bd0275aae0">ECP2_BN254_frob</a></div><div class="ttdeci">void ECP2_BN254_frob(ECP2_BN254 *P, FP2_BN254 *f)</div><div class="ttdoc">Multiplies an ECP2 instance P by the internal modulus p, using precalculated Frobenius constant f...</div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:518</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a8a7d59f3d5012616915282f8029e823a"><div class="ttname"><a href="ecp2__BN254_8h.html#a8a7d59f3d5012616915282f8029e823a">ECP2_BN254_toOctet</a></div><div class="ttdeci">void ECP2_BN254_toOctet(octet *S, ECP2_BN254 *P)</div><div class="ttdoc">Formats and outputs an ECP2 point to an octet string. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:179</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a952fba8aa78ec6c68fbfa44ad59f330c"><div class="ttname"><a href="ecp2__BN254_8h.html#a952fba8aa78ec6c68fbfa44ad59f330c">CURVE_Gy_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Gy_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_ab658828ec441b7eb2ba3f0bb91e22f81"><div class="ttname"><a href="ecp2__BN254_8h.html#ab658828ec441b7eb2ba3f0bb91e22f81">ECP2_BN254_equals</a></div><div class="ttdeci">int ECP2_BN254_equals(ECP2_BN254 *P, ECP2_BN254 *Q)</div><div class="ttdoc">Tests for equality of two ECP2s. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:89</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a6b07cb8e5b2c708db3e83c045ac71a30"><div class="ttname"><a href="ecp2__BN254_8h.html#a6b07cb8e5b2c708db3e83c045ac71a30">ECP2_BN254_neg</a></div><div class="ttdeci">void ECP2_BN254_neg(ECP2_BN254 *P)</div><div class="ttdoc">Negation of an ECP2 point. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:294</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a836b37b410224115373eef28412171d1"><div class="ttname"><a href="ecp2__BN254_8h.html#a836b37b410224115373eef28412171d1">CURVE_Pxb_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxb_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a645aa7bbf498d23b31c8dcb64621146c"><div class="ttname"><a href="ecp2__BN254_8h.html#a645aa7bbf498d23b31c8dcb64621146c">ECP2_BN254_sub</a></div><div class="ttdeci">void ECP2_BN254_sub(ECP2_BN254 *P, ECP2_BN254 *Q)</div><div class="ttdoc">Subtracts ECP instance Q from ECP2 instance P. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:445</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a407091af8011693640727e5ee15ada96"><div class="ttname"><a href="ecp2__BN254_8h.html#a407091af8011693640727e5ee15ada96">ECP2_BN254_fromOctet</a></div><div class="ttdeci">int ECP2_BN254_fromOctet(ECP2_BN254 *P, octet *S)</div><div class="ttdoc">Creates an ECP2 point from an octet string. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:200</div></div>
<div class="ttc" id="structECP2__BN254_html_a1246b38f4143fdb63493ecd16804df47"><div class="ttname"><a href="structECP2__BN254.html#a1246b38f4143fdb63493ecd16804df47">ECP2_BN254::y</a></div><div class="ttdeci">FP2_BN254 y</div><div class="ttdef"><b>Definition:</b> ecp2_BN254.h:41</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_abb2d701c7552c970f25f8047c105d25b"><div class="ttname"><a href="ecp2__BN254_8h.html#abb2d701c7552c970f25f8047c105d25b">CURVE_Order_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Order_BN254</div></div>
<div class="ttc" id="fp2__BN254_8h_html"><div class="ttname"><a href="fp2__BN254_8h.html">fp2_BN254.h</a></div><div class="ttdoc">FP2 Header File. </div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a33085074d0751b05853f167d3db8d147"><div class="ttname"><a href="ecp2__BN254_8h.html#a33085074d0751b05853f167d3db8d147">ECP2_BN254_isinf</a></div><div class="ttdeci">int ECP2_BN254_isinf(ECP2_BN254 *P)</div><div class="ttdoc">Tests for ECP2 point equal to infinity. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:25</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a1c193b9c65acb159adea021f1bb59e1d"><div class="ttname"><a href="ecp2__BN254_8h.html#a1c193b9c65acb159adea021f1bb59e1d">CURVE_Pxa_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Pxa_BN254</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a936f6bb068aa0ce533e6dc51b56f7786"><div class="ttname"><a href="ecp2__BN254_8h.html#a936f6bb068aa0ce533e6dc51b56f7786">ECP2_BN254_add</a></div><div class="ttdeci">int ECP2_BN254_add(ECP2_BN254 *P, ECP2_BN254 *Q)</div><div class="ttdoc">Adds ECP2 instance Q to ECP2 instance P. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:358</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_abf41342afa7230d0288d37a140d4ee9d"><div class="ttname"><a href="ecp2__BN254_8h.html#abf41342afa7230d0288d37a140d4ee9d">Fra_BN254</a></div><div class="ttdeci">const BIG_256_56 Fra_BN254</div></div>
<div class="ttc" id="big__256__56_8h_html_abea3e70a8a87f28329ed8e48af7bb244"><div class="ttname"><a href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a></div><div class="ttdeci">chunk BIG_256_56[NLEN_256_56]</div><div class="ttdef"><b>Definition:</b> big_256_56.h:58</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_ad8874e2a045c086ff06378f411bdea2c"><div class="ttname"><a href="ecp2__BN254_8h.html#ad8874e2a045c086ff06378f411bdea2c">ECP2_BN254_copy</a></div><div class="ttdeci">void ECP2_BN254_copy(ECP2_BN254 *P, ECP2_BN254 *Q)</div><div class="ttdoc">Copy ECP2 point to another ECP2 point. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:32</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a6cf3f2bf367499bb8b9897deebbb1809"><div class="ttname"><a href="ecp2__BN254_8h.html#a6cf3f2bf367499bb8b9897deebbb1809">ECP2_BN254_rhs</a></div><div class="ttdeci">void ECP2_BN254_rhs(FP2_BN254 *r, FP2_BN254 *x)</div><div class="ttdoc">Calculate Right Hand Side of curve equation y^2=f(x) </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:219</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_a7848eccea1a8b56906a979cda7c3c0c9"><div class="ttname"><a href="ecp2__BN254_8h.html#a7848eccea1a8b56906a979cda7c3c0c9">ECP2_BN254_outputxyz</a></div><div class="ttdeci">void ECP2_BN254_outputxyz(ECP2_BN254 *P)</div><div class="ttdoc">Formats and outputs an ECP2 point to the console, in projective coordinates. </div><div class="ttdef"><b>Definition:</b> ecp2_BN254.c:159</div></div>
<div class="ttc" id="ecp2__BN254_8h_html_ab4efa5228d54f90b5476fa92e1548538"><div class="ttname"><a href="ecp2__BN254_8h.html#ab4efa5228d54f90b5476fa92e1548538">CURVE_Cof_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Cof_BN254</div></div>
<div class="ttc" id="structECP2__BN254_html_a337720a42e224384e888ea6781ada18c"><div class="ttname"><a href="structECP2__BN254.html#a337720a42e224384e888ea6781ada18c">ECP2_BN254::z</a></div><div class="ttdeci">FP2_BN254 z</div><div class="ttdef"><b>Definition:</b> ecp2_BN254.h:42</div></div>
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