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<a href="fp2__BN254CX_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 FP2_BN254CX_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP2_BN254CX_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="fp__BN254CX_8h.html">fp_BN254CX.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="structFP2__BN254CX.html"> 36</a></span>&#160;<span class="keyword">typedef</span> <span class="keyword">struct</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;{</div><div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="structFP2__BN254CX.html#a681bf9cafacaf7d8e7b5e3e86af924f5"> 38</a></span>&#160; <a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> <a class="code" href="structFP2__BN254CX.html#a681bf9cafacaf7d8e7b5e3e86af924f5">a</a>; </div><div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="structFP2__BN254CX.html#a9c0ee083a28bd9ae240e3ef4b85e8e9f"> 39</a></span>&#160; <a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> <a class="code" href="structFP2__BN254CX.html#a9c0ee083a28bd9ae240e3ef4b85e8e9f">b</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;} <a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a>;</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="comment">/* FP2 prototypes */</span></div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp2__BN254CX_8h.html#a214af8ebd86c773a13d77ee667aa903c">FP2_BN254CX_iszilch</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a827c447bc41fdfeb035b6c44ad83106c">FP2_BN254CX_cmove</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y,<span class="keywordtype">int</span> s);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp2__BN254CX_8h.html#a0cfbcd132234e9675daaa7995ac36362">FP2_BN254CX_isunity</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp2__BN254CX_8h.html#a4d77dbdf208964a63b2176fd156095d9">FP2_BN254CX_equals</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y);</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#ae4743b00fe7feaa02e15e92b5dd749f5">FP2_BN254CX_from_FPs</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *a,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *b);</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#acbba403075d51eafdd978e3e619d9d85">FP2_BN254CX_from_BIGs</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> a,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a68039be55a087b9b81a2388fdb05c9d1">FP2_BN254CX_from_FP</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *a);</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a437dc0867373ceeabfa54583117f7d16">FP2_BN254CX_from_BIG</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> a);</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a4a325a64ff570fa3b7d79e0bc7ad4d55">FP2_BN254CX_copy</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y);</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#ab62590b488de2022d993d6f81e139886">FP2_BN254CX_zero</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#acb20335e53d01fc1c0769955159ae02f">FP2_BN254CX_one</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a60ee4ffbd9ba9dec701d70bbac1b97a2">FP2_BN254CX_neg</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y);</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a2a1e1bee9342d6ed58229414489b48ec">FP2_BN254CX_conj</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y);</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a7dc540eec31f929aebca3814189d1d22">FP2_BN254CX_add</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *z);</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a17bd9e44d4fd76ad3c327e231587486f">FP2_BN254CX_sub</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *z);</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#acbd4677e6f63a149ff0d5a6bfa42c5a9">FP2_BN254CX_pmul</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y,<a class="code" href="structFP__BN254CX.html">FP_BN254CX</a> *b);</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a5313e8d037d4175e79f602b6f2bf41e2">FP2_BN254CX_imul</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y,<span class="keywordtype">int</span> i);</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a8fa6a2a2f06eb9c50de17823db16fad1">FP2_BN254CX_sqr</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y);</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#ad5546e623124af9c1cd297c8384b7f2b">FP2_BN254CX_mul</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *z);</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a2aea520ed3894269e7aa24b00e0d1f43">FP2_BN254CX_output</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a2ba773ac51820722360d46d7e0e19b33">FP2_BN254CX_rawoutput</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#ab1e285d6356489e75f383b430f740d1f">FP2_BN254CX_inv</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y);</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="fp2__BN254CX_8h.html#a36c65900edc5bd77fd3920b240973797">FP2_BN254CX_div2</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y);</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#afbe829666f2cbabc478f1199305814bb">FP2_BN254CX_mul_ip</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a7ff042c532e12e703a8927003e29851f">FP2_BN254CX_div_ip2</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a5d124e85f7f5a8dd9eb3b0d8520e97bb">FP2_BN254CX_div_ip</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#a2385bedd710e75c655c74ba43956490b">FP2_BN254CX_norm</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</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="fp2__BN254CX_8h.html#ab930d13c7b061f11bbd615cb1cc89374">FP2_BN254CX_reduce</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#aae2025a3cc00a170118877b419e599fc">FP2_BN254CX_pow</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp2__BN254CX_8h.html#a823b90a6cc24cea6e283441855613937">FP2_BN254CX_sqrt</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x,<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y);</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160;</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254CX_8h.html#ae8909a043cb54e6eeca817f8d95eddd2">FP2_BN254CX_times_i</a>(<a class="code" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x);</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160;</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="fp2__BN254CX_8h_html_a2ba773ac51820722360d46d7e0e19b33"><div class="ttname"><a href="fp2__BN254CX_8h.html#a2ba773ac51820722360d46d7e0e19b33">FP2_BN254CX_rawoutput</a></div><div class="ttdeci">void FP2_BN254CX_rawoutput(FP2_BN254CX *x)</div><div class="ttdoc">Formats and outputs an FP2 to the console in raw form (for debugging)</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:268</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a36c65900edc5bd77fd3920b240973797"><div class="ttname"><a href="fp2__BN254CX_8h.html#a36c65900edc5bd77fd3920b240973797">FP2_BN254CX_div2</a></div><div class="ttdeci">void FP2_BN254CX_div2(FP2_BN254CX *x, FP2_BN254CX *y)</div><div class="ttdoc">Divide an FP2 by 2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:300</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_ab62590b488de2022d993d6f81e139886"><div class="ttname"><a href="fp2__BN254CX_8h.html#ab62590b488de2022d993d6f81e139886">FP2_BN254CX_zero</a></div><div class="ttdeci">void FP2_BN254CX_zero(FP2_BN254CX *x)</div><div class="ttdoc">Set FP2 to zero.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:112</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_aae2025a3cc00a170118877b419e599fc"><div class="ttname"><a href="fp2__BN254CX_8h.html#aae2025a3cc00a170118877b419e599fc">FP2_BN254CX_pow</a></div><div class="ttdeci">void FP2_BN254CX_pow(FP2_BN254CX *x, FP2_BN254CX *y, BIG_256_56 b)</div><div class="ttdoc">Raises an FP2 to the power of a BIG.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:357</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a4d77dbdf208964a63b2176fd156095d9"><div class="ttname"><a href="fp2__BN254CX_8h.html#a4d77dbdf208964a63b2176fd156095d9">FP2_BN254CX_equals</a></div><div class="ttdeci">int FP2_BN254CX_equals(FP2_BN254CX *x, FP2_BN254CX *y)</div><div class="ttdoc">Tests for equality of two FP2s.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:62</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a2385bedd710e75c655c74ba43956490b"><div class="ttname"><a href="fp2__BN254CX_8h.html#a2385bedd710e75c655c74ba43956490b">FP2_BN254CX_norm</a></div><div class="ttdeci">void FP2_BN254CX_norm(FP2_BN254CX *x)</div><div class="ttdoc">Normalises the components of an FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:349</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_ab930d13c7b061f11bbd615cb1cc89374"><div class="ttname"><a href="fp2__BN254CX_8h.html#ab930d13c7b061f11bbd615cb1cc89374">FP2_BN254CX_reduce</a></div><div class="ttdeci">void FP2_BN254CX_reduce(FP2_BN254CX *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP2 mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:54</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a0cfbcd132234e9675daaa7995ac36362"><div class="ttname"><a href="fp2__BN254CX_8h.html#a0cfbcd132234e9675daaa7995ac36362">FP2_BN254CX_isunity</a></div><div class="ttdeci">int FP2_BN254CX_isunity(FP2_BN254CX *x)</div><div class="ttdoc">Tests for FP2 equal to one.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:44</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a68039be55a087b9b81a2388fdb05c9d1"><div class="ttname"><a href="fp2__BN254CX_8h.html#a68039be55a087b9b81a2388fdb05c9d1">FP2_BN254CX_from_FP</a></div><div class="ttdeci">void FP2_BN254CX_from_FP(FP2_BN254CX *x, FP_BN254CX *a)</div><div class="ttdoc">Initialise FP2 from single FP.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:87</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a5d124e85f7f5a8dd9eb3b0d8520e97bb"><div class="ttname"><a href="fp2__BN254CX_8h.html#a5d124e85f7f5a8dd9eb3b0d8520e97bb">FP2_BN254CX_div_ip</a></div><div class="ttdeci">void FP2_BN254CX_div_ip(FP2_BN254CX *x)</div><div class="ttdoc">Divide an FP2 by (1+sqrt(-1))</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:337</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a17bd9e44d4fd76ad3c327e231587486f"><div class="ttname"><a href="fp2__BN254CX_8h.html#a17bd9e44d4fd76ad3c327e231587486f">FP2_BN254CX_sub</a></div><div class="ttdeci">void FP2_BN254CX_sub(FP2_BN254CX *x, FP2_BN254CX *y, FP2_BN254CX *z)</div><div class="ttdoc">subtraction of two FP2s</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:160</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a437dc0867373ceeabfa54583117f7d16"><div class="ttname"><a href="fp2__BN254CX_8h.html#a437dc0867373ceeabfa54583117f7d16">FP2_BN254CX_from_BIG</a></div><div class="ttdeci">void FP2_BN254CX_from_BIG(FP2_BN254CX *x, BIG_256_56 a)</div><div class="ttdoc">Initialise FP2 from single BIG.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:95</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a7ff042c532e12e703a8927003e29851f"><div class="ttname"><a href="fp2__BN254CX_8h.html#a7ff042c532e12e703a8927003e29851f">FP2_BN254CX_div_ip2</a></div><div class="ttdeci">void FP2_BN254CX_div_ip2(FP2_BN254CX *x)</div><div class="ttdoc">Divide an FP2 by (1+sqrt(-1))/2 -.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:325</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a2a1e1bee9342d6ed58229414489b48ec"><div class="ttname"><a href="fp2__BN254CX_8h.html#a2a1e1bee9342d6ed58229414489b48ec">FP2_BN254CX_conj</a></div><div class="ttdeci">void FP2_BN254CX_conj(FP2_BN254CX *x, FP2_BN254CX *y)</div><div class="ttdoc">Conjugation of FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:143</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_ab1e285d6356489e75f383b430f740d1f"><div class="ttname"><a href="fp2__BN254CX_8h.html#ab1e285d6356489e75f383b430f740d1f">FP2_BN254CX_inv</a></div><div class="ttdeci">void FP2_BN254CX_inv(FP2_BN254CX *x, FP2_BN254CX *y)</div><div class="ttdoc">Inverting an FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:280</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a8fa6a2a2f06eb9c50de17823db16fad1"><div class="ttname"><a href="fp2__BN254CX_8h.html#a8fa6a2a2f06eb9c50de17823db16fad1">FP2_BN254CX_sqr</a></div><div class="ttdeci">void FP2_BN254CX_sqr(FP2_BN254CX *x, FP2_BN254CX *y)</div><div class="ttdoc">Squaring an FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:185</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_ae8909a043cb54e6eeca817f8d95eddd2"><div class="ttname"><a href="fp2__BN254CX_8h.html#ae8909a043cb54e6eeca817f8d95eddd2">FP2_BN254CX_times_i</a></div><div class="ttdeci">void FP2_BN254CX_times_i(FP2_BN254CX *x)</div><div class="ttdoc">Multiply an FP2 by sqrt(-1)</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:426</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a5313e8d037d4175e79f602b6f2bf41e2"><div class="ttname"><a href="fp2__BN254CX_8h.html#a5313e8d037d4175e79f602b6f2bf41e2">FP2_BN254CX_imul</a></div><div class="ttdeci">void FP2_BN254CX_imul(FP2_BN254CX *x, FP2_BN254CX *y, int i)</div><div class="ttdoc">Multiplication of an FP2 by a small integer.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:177</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a827c447bc41fdfeb035b6c44ad83106c"><div class="ttname"><a href="fp2__BN254CX_8h.html#a827c447bc41fdfeb035b6c44ad83106c">FP2_BN254CX_cmove</a></div><div class="ttdeci">void FP2_BN254CX_cmove(FP2_BN254CX *x, FP2_BN254CX *y, int s)</div><div class="ttdoc">Conditional copy of FP2 number.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:36</div></div>
<div class="ttc" id="fp__BN254CX_8h_html"><div class="ttname"><a href="fp__BN254CX_8h.html">fp_BN254CX.h</a></div><div class="ttdoc">FP Header File.</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_acbd4677e6f63a149ff0d5a6bfa42c5a9"><div class="ttname"><a href="fp2__BN254CX_8h.html#acbd4677e6f63a149ff0d5a6bfa42c5a9">FP2_BN254CX_pmul</a></div><div class="ttdeci">void FP2_BN254CX_pmul(FP2_BN254CX *x, FP2_BN254CX *y, FP_BN254CX *b)</div><div class="ttdoc">Multiplication of an FP2 by an FP.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:169</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_afbe829666f2cbabc478f1199305814bb"><div class="ttname"><a href="fp2__BN254CX_8h.html#afbe829666f2cbabc478f1199305814bb">FP2_BN254CX_mul_ip</a></div><div class="ttdeci">void FP2_BN254CX_mul_ip(FP2_BN254CX *x)</div><div class="ttdoc">Multiply an FP2 by (1+sqrt(-1))</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:310</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a60ee4ffbd9ba9dec701d70bbac1b97a2"><div class="ttname"><a href="fp2__BN254CX_8h.html#a60ee4ffbd9ba9dec701d70bbac1b97a2">FP2_BN254CX_neg</a></div><div class="ttdeci">void FP2_BN254CX_neg(FP2_BN254CX *x, FP2_BN254CX *y)</div><div class="ttdoc">Negation of FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:129</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_acbba403075d51eafdd978e3e619d9d85"><div class="ttname"><a href="fp2__BN254CX_8h.html#acbba403075d51eafdd978e3e619d9d85">FP2_BN254CX_from_BIGs</a></div><div class="ttdeci">void FP2_BN254CX_from_BIGs(FP2_BN254CX *x, BIG_256_56 a, BIG_256_56 b)</div><div class="ttdoc">Initialise FP2 from two BIG integers.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:79</div></div>
<div class="ttc" id="structFP2__BN254CX_html_a681bf9cafacaf7d8e7b5e3e86af924f5"><div class="ttname"><a href="structFP2__BN254CX.html#a681bf9cafacaf7d8e7b5e3e86af924f5">FP2_BN254CX::a</a></div><div class="ttdeci">FP_BN254CX a</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.h:38</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_acb20335e53d01fc1c0769955159ae02f"><div class="ttname"><a href="fp2__BN254CX_8h.html#acb20335e53d01fc1c0769955159ae02f">FP2_BN254CX_one</a></div><div class="ttdeci">void FP2_BN254CX_one(FP2_BN254CX *x)</div><div class="ttdoc">Set FP2 to unity.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:120</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a7dc540eec31f929aebca3814189d1d22"><div class="ttname"><a href="fp2__BN254CX_8h.html#a7dc540eec31f929aebca3814189d1d22">FP2_BN254CX_add</a></div><div class="ttdeci">void FP2_BN254CX_add(FP2_BN254CX *x, FP2_BN254CX *y, FP2_BN254CX *z)</div><div class="ttdoc">addition of two FP2s</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:152</div></div>
<div class="ttc" id="structFP__BN254CX_html"><div class="ttname"><a href="structFP__BN254CX.html">FP_BN254CX</a></div><div class="ttdoc">FP Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp_BN254CX.h:38</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a2aea520ed3894269e7aa24b00e0d1f43"><div class="ttname"><a href="fp2__BN254CX_8h.html#a2aea520ed3894269e7aa24b00e0d1f43">FP2_BN254CX_output</a></div><div class="ttdeci">void FP2_BN254CX_output(FP2_BN254CX *x)</div><div class="ttdoc">Formats and outputs an FP2 to the console.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:252</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a4a325a64ff570fa3b7d79e0bc7ad4d55"><div class="ttname"><a href="fp2__BN254CX_8h.html#a4a325a64ff570fa3b7d79e0bc7ad4d55">FP2_BN254CX_copy</a></div><div class="ttdeci">void FP2_BN254CX_copy(FP2_BN254CX *x, FP2_BN254CX *y)</div><div class="ttdoc">Copy FP2 to another FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:103</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="fp2__BN254CX_8h_html_ad5546e623124af9c1cd297c8384b7f2b"><div class="ttname"><a href="fp2__BN254CX_8h.html#ad5546e623124af9c1cd297c8384b7f2b">FP2_BN254CX_mul</a></div><div class="ttdeci">void FP2_BN254CX_mul(FP2_BN254CX *x, FP2_BN254CX *y, FP2_BN254CX *z)</div><div class="ttdoc">Multiplication of two FP2s.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:207</div></div>
<div class="ttc" id="structFP2__BN254CX_html"><div class="ttname"><a href="structFP2__BN254CX.html">FP2_BN254CX</a></div><div class="ttdoc">FP2 Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.h:36</div></div>
<div class="ttc" id="structFP2__BN254CX_html_a9c0ee083a28bd9ae240e3ef4b85e8e9f"><div class="ttname"><a href="structFP2__BN254CX.html#a9c0ee083a28bd9ae240e3ef4b85e8e9f">FP2_BN254CX::b</a></div><div class="ttdeci">FP_BN254CX b</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.h:39</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_ae4743b00fe7feaa02e15e92b5dd749f5"><div class="ttname"><a href="fp2__BN254CX_8h.html#ae4743b00fe7feaa02e15e92b5dd749f5">FP2_BN254CX_from_FPs</a></div><div class="ttdeci">void FP2_BN254CX_from_FPs(FP2_BN254CX *x, FP_BN254CX *a, FP_BN254CX *b)</div><div class="ttdoc">Initialise FP2 from two FP numbers.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:71</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a823b90a6cc24cea6e283441855613937"><div class="ttname"><a href="fp2__BN254CX_8h.html#a823b90a6cc24cea6e283441855613937">FP2_BN254CX_sqrt</a></div><div class="ttdeci">int FP2_BN254CX_sqrt(FP2_BN254CX *x, FP2_BN254CX *y)</div><div class="ttdoc">Square root of an FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:384</div></div>
<div class="ttc" id="fp2__BN254CX_8h_html_a214af8ebd86c773a13d77ee667aa903c"><div class="ttname"><a href="fp2__BN254CX_8h.html#a214af8ebd86c773a13d77ee667aa903c">FP2_BN254CX_iszilch</a></div><div class="ttdeci">int FP2_BN254CX_iszilch(FP2_BN254CX *x)</div><div class="ttdoc">Tests for FP2 equal to zero.</div><div class="ttdef"><b>Definition:</b> fp2_BN254CX.c:29</div></div>
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