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<a href="fp2__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 FP2_BN254_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP2_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="fp__BN254_8h.html">fp_BN254.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__BN254.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__BN254.html#a0404699fc23930d177c43bc36023563b"> 38</a></span>&#160; <a class="code" href="structFP__BN254.html">FP_BN254</a> <a class="code" href="structFP2__BN254.html#a0404699fc23930d177c43bc36023563b">a</a>; </div><div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="structFP2__BN254.html#ab1ca32260ede24a103cfa981462c2c84"> 39</a></span>&#160; <a class="code" href="structFP__BN254.html">FP_BN254</a> <a class="code" href="structFP2__BN254.html#ab1ca32260ede24a103cfa981462c2c84">b</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;} <a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#a8a0211125b06623021a5d88177b7ad09">FP2_BN254_iszilch</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#ab85fa38b64bf516823a3f44ee02d1105">FP2_BN254_cmove</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *x,<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#aa3a37c7157967c85eef164d1d5ada7f9">FP2_BN254_isunity</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#ac35c269782a9c50c2a4a7f0f7eb59c85">FP2_BN254_equals</a>(<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="l00077"></a><span class="lineno"> 77</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254_8h.html#aff82cb726b8db070099434f7567bcdbb">FP2_BN254_from_FPs</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *x,<a class="code" href="structFP__BN254.html">FP_BN254</a> *a,<a class="code" href="structFP__BN254.html">FP_BN254</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__BN254_8h.html#af6a6f13d8b3d9303cd3a941015b512de">FP2_BN254_from_BIGs</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#a690f1b2f00c04a826fbdf0b1edf452e0">FP2_BN254_from_FP</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *x,<a class="code" href="structFP__BN254.html">FP_BN254</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__BN254_8h.html#a2d0330d00fa06c54950156d8b9b4e397">FP2_BN254_from_BIG</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#aedec591a1b436f7079e609de188eb0e3">FP2_BN254_copy</a>(<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="l00109"></a><span class="lineno"> 109</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254_8h.html#a06a4cbd531ab40e5b7450f0320f78c58">FP2_BN254_zero</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#aa0661313fc0aaf0189ca9434c50e2d15">FP2_BN254_one</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#affb8f7756e9787c90af15475625d1752">FP2_BN254_neg</a>(<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="l00127"></a><span class="lineno"> 127</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254_8h.html#a7b6c69d71b8819db43bf8beb270ec666">FP2_BN254_conj</a>(<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="l00134"></a><span class="lineno"> 134</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254_8h.html#a1102f14d4bb70c05f69423e8864ccd3a">FP2_BN254_add</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="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#abed281de2b418ffe42e4926a4276a21b">FP2_BN254_sub</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="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#a2793cb43119dca382c0d91b910eef30a">FP2_BN254_pmul</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="structFP__BN254.html">FP_BN254</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__BN254_8h.html#a98dc5550629973587dcd370637a59184">FP2_BN254_imul</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</a> *x,<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#a69bdc7b3a097f4f26861f36bc53d3b80">FP2_BN254_sqr</a>(<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="l00168"></a><span class="lineno"> 168</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254_8h.html#a9155826c0c313604a4a777885b9594ff">FP2_BN254_mul</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="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#abbf3a0ac10cfc495281a10464f7eb63c">FP2_BN254_output</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#a8d4cf5f5ddebf71b92d61fdfee80f0ba">FP2_BN254_rawoutput</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#a9900b790c2c3aa3a3470c5d95e8662ff">FP2_BN254_inv</a>(<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="l00190"></a><span class="lineno"> 190</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254_8h.html#ab23344bbcfd3cd6c06ef75c4772a65d1">FP2_BN254_div2</a>(<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="l00196"></a><span class="lineno"> 196</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp2__BN254_8h.html#a1b9071be029d78a8f5becd6204311c19">FP2_BN254_mul_ip</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#ab742bbb7714039af62218e92f32d5f21">FP2_BN254_div_ip2</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#af4f55df31206ab55e02d635a2c021eeb">FP2_BN254_div_ip</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#acb09afb23d212f2c2d37e3a3a50ab837">FP2_BN254_norm</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#a9c3e83ab012e7cdc16efe803c1c612ea">FP2_BN254_reduce</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h.html#a8113c98d6a54c4d1e13412d8e30548d7">FP2_BN254_pow</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="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__BN254_8h.html#a2019a313b40c4c95021c6c752c3bccfe">FP2_BN254_sqrt</a>(<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="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__BN254_8h.html#a46c5eb6372d6adefff59cc02ad1457e1">FP2_BN254_times_i</a>(<a class="code" href="structFP2__BN254.html">FP2_BN254</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__BN254_8h_html_a98dc5550629973587dcd370637a59184"><div class="ttname"><a href="fp2__BN254_8h.html#a98dc5550629973587dcd370637a59184">FP2_BN254_imul</a></div><div class="ttdeci">void FP2_BN254_imul(FP2_BN254 *x, FP2_BN254 *y, int i)</div><div class="ttdoc">Multiplication of an FP2 by a small integer.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:177</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a1102f14d4bb70c05f69423e8864ccd3a"><div class="ttname"><a href="fp2__BN254_8h.html#a1102f14d4bb70c05f69423e8864ccd3a">FP2_BN254_add</a></div><div class="ttdeci">void FP2_BN254_add(FP2_BN254 *x, FP2_BN254 *y, FP2_BN254 *z)</div><div class="ttdoc">addition of two FP2s</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:152</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a9c3e83ab012e7cdc16efe803c1c612ea"><div class="ttname"><a href="fp2__BN254_8h.html#a9c3e83ab012e7cdc16efe803c1c612ea">FP2_BN254_reduce</a></div><div class="ttdeci">void FP2_BN254_reduce(FP2_BN254 *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP2 mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:54</div></div>
<div class="ttc" id="fp2__BN254_8h_html_abed281de2b418ffe42e4926a4276a21b"><div class="ttname"><a href="fp2__BN254_8h.html#abed281de2b418ffe42e4926a4276a21b">FP2_BN254_sub</a></div><div class="ttdeci">void FP2_BN254_sub(FP2_BN254 *x, FP2_BN254 *y, FP2_BN254 *z)</div><div class="ttdoc">subtraction of two FP2s</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:160</div></div>
<div class="ttc" id="fp2__BN254_8h_html_aedec591a1b436f7079e609de188eb0e3"><div class="ttname"><a href="fp2__BN254_8h.html#aedec591a1b436f7079e609de188eb0e3">FP2_BN254_copy</a></div><div class="ttdeci">void FP2_BN254_copy(FP2_BN254 *x, FP2_BN254 *y)</div><div class="ttdoc">Copy FP2 to another FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:103</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="structFP__BN254_html"><div class="ttname"><a href="structFP__BN254.html">FP_BN254</a></div><div class="ttdoc">FP Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp_BN254.h:38</div></div>
<div class="ttc" id="structFP2__BN254_html_ab1ca32260ede24a103cfa981462c2c84"><div class="ttname"><a href="structFP2__BN254.html#ab1ca32260ede24a103cfa981462c2c84">FP2_BN254::b</a></div><div class="ttdeci">FP_BN254 b</div><div class="ttdef"><b>Definition:</b> fp2_BN254.h:39</div></div>
<div class="ttc" id="fp2__BN254_8h_html_ac35c269782a9c50c2a4a7f0f7eb59c85"><div class="ttname"><a href="fp2__BN254_8h.html#ac35c269782a9c50c2a4a7f0f7eb59c85">FP2_BN254_equals</a></div><div class="ttdeci">int FP2_BN254_equals(FP2_BN254 *x, FP2_BN254 *y)</div><div class="ttdoc">Tests for equality of two FP2s.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:62</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a690f1b2f00c04a826fbdf0b1edf452e0"><div class="ttname"><a href="fp2__BN254_8h.html#a690f1b2f00c04a826fbdf0b1edf452e0">FP2_BN254_from_FP</a></div><div class="ttdeci">void FP2_BN254_from_FP(FP2_BN254 *x, FP_BN254 *a)</div><div class="ttdoc">Initialise FP2 from single FP.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:87</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a2793cb43119dca382c0d91b910eef30a"><div class="ttname"><a href="fp2__BN254_8h.html#a2793cb43119dca382c0d91b910eef30a">FP2_BN254_pmul</a></div><div class="ttdeci">void FP2_BN254_pmul(FP2_BN254 *x, FP2_BN254 *y, FP_BN254 *b)</div><div class="ttdoc">Multiplication of an FP2 by an FP.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:169</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a69bdc7b3a097f4f26861f36bc53d3b80"><div class="ttname"><a href="fp2__BN254_8h.html#a69bdc7b3a097f4f26861f36bc53d3b80">FP2_BN254_sqr</a></div><div class="ttdeci">void FP2_BN254_sqr(FP2_BN254 *x, FP2_BN254 *y)</div><div class="ttdoc">Squaring an FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:185</div></div>
<div class="ttc" id="fp__BN254_8h_html"><div class="ttname"><a href="fp__BN254_8h.html">fp_BN254.h</a></div><div class="ttdoc">FP Header File.</div></div>
<div class="ttc" id="fp2__BN254_8h_html_acb09afb23d212f2c2d37e3a3a50ab837"><div class="ttname"><a href="fp2__BN254_8h.html#acb09afb23d212f2c2d37e3a3a50ab837">FP2_BN254_norm</a></div><div class="ttdeci">void FP2_BN254_norm(FP2_BN254 *x)</div><div class="ttdoc">Normalises the components of an FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:349</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a8d4cf5f5ddebf71b92d61fdfee80f0ba"><div class="ttname"><a href="fp2__BN254_8h.html#a8d4cf5f5ddebf71b92d61fdfee80f0ba">FP2_BN254_rawoutput</a></div><div class="ttdeci">void FP2_BN254_rawoutput(FP2_BN254 *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_BN254.c:268</div></div>
<div class="ttc" id="fp2__BN254_8h_html_ab23344bbcfd3cd6c06ef75c4772a65d1"><div class="ttname"><a href="fp2__BN254_8h.html#ab23344bbcfd3cd6c06ef75c4772a65d1">FP2_BN254_div2</a></div><div class="ttdeci">void FP2_BN254_div2(FP2_BN254 *x, FP2_BN254 *y)</div><div class="ttdoc">Divide an FP2 by 2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:300</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a2019a313b40c4c95021c6c752c3bccfe"><div class="ttname"><a href="fp2__BN254_8h.html#a2019a313b40c4c95021c6c752c3bccfe">FP2_BN254_sqrt</a></div><div class="ttdeci">int FP2_BN254_sqrt(FP2_BN254 *x, FP2_BN254 *y)</div><div class="ttdoc">Square root of an FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:384</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a46c5eb6372d6adefff59cc02ad1457e1"><div class="ttname"><a href="fp2__BN254_8h.html#a46c5eb6372d6adefff59cc02ad1457e1">FP2_BN254_times_i</a></div><div class="ttdeci">void FP2_BN254_times_i(FP2_BN254 *x)</div><div class="ttdoc">Multiply an FP2 by sqrt(-1)</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:426</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a2d0330d00fa06c54950156d8b9b4e397"><div class="ttname"><a href="fp2__BN254_8h.html#a2d0330d00fa06c54950156d8b9b4e397">FP2_BN254_from_BIG</a></div><div class="ttdeci">void FP2_BN254_from_BIG(FP2_BN254 *x, BIG_256_56 a)</div><div class="ttdoc">Initialise FP2 from single BIG.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:95</div></div>
<div class="ttc" id="fp2__BN254_8h_html_affb8f7756e9787c90af15475625d1752"><div class="ttname"><a href="fp2__BN254_8h.html#affb8f7756e9787c90af15475625d1752">FP2_BN254_neg</a></div><div class="ttdeci">void FP2_BN254_neg(FP2_BN254 *x, FP2_BN254 *y)</div><div class="ttdoc">Negation of FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:129</div></div>
<div class="ttc" id="fp2__BN254_8h_html_abbf3a0ac10cfc495281a10464f7eb63c"><div class="ttname"><a href="fp2__BN254_8h.html#abbf3a0ac10cfc495281a10464f7eb63c">FP2_BN254_output</a></div><div class="ttdeci">void FP2_BN254_output(FP2_BN254 *x)</div><div class="ttdoc">Formats and outputs an FP2 to the console.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:252</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a7b6c69d71b8819db43bf8beb270ec666"><div class="ttname"><a href="fp2__BN254_8h.html#a7b6c69d71b8819db43bf8beb270ec666">FP2_BN254_conj</a></div><div class="ttdeci">void FP2_BN254_conj(FP2_BN254 *x, FP2_BN254 *y)</div><div class="ttdoc">Conjugation of FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:143</div></div>
<div class="ttc" id="structFP2__BN254_html_a0404699fc23930d177c43bc36023563b"><div class="ttname"><a href="structFP2__BN254.html#a0404699fc23930d177c43bc36023563b">FP2_BN254::a</a></div><div class="ttdeci">FP_BN254 a</div><div class="ttdef"><b>Definition:</b> fp2_BN254.h:38</div></div>
<div class="ttc" id="fp2__BN254_8h_html_af4f55df31206ab55e02d635a2c021eeb"><div class="ttname"><a href="fp2__BN254_8h.html#af4f55df31206ab55e02d635a2c021eeb">FP2_BN254_div_ip</a></div><div class="ttdeci">void FP2_BN254_div_ip(FP2_BN254 *x)</div><div class="ttdoc">Divide an FP2 by (1+sqrt(-1))</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:337</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a8a0211125b06623021a5d88177b7ad09"><div class="ttname"><a href="fp2__BN254_8h.html#a8a0211125b06623021a5d88177b7ad09">FP2_BN254_iszilch</a></div><div class="ttdeci">int FP2_BN254_iszilch(FP2_BN254 *x)</div><div class="ttdoc">Tests for FP2 equal to zero.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:29</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a06a4cbd531ab40e5b7450f0320f78c58"><div class="ttname"><a href="fp2__BN254_8h.html#a06a4cbd531ab40e5b7450f0320f78c58">FP2_BN254_zero</a></div><div class="ttdeci">void FP2_BN254_zero(FP2_BN254 *x)</div><div class="ttdoc">Set FP2 to zero.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:112</div></div>
<div class="ttc" id="fp2__BN254_8h_html_aa3a37c7157967c85eef164d1d5ada7f9"><div class="ttname"><a href="fp2__BN254_8h.html#aa3a37c7157967c85eef164d1d5ada7f9">FP2_BN254_isunity</a></div><div class="ttdeci">int FP2_BN254_isunity(FP2_BN254 *x)</div><div class="ttdoc">Tests for FP2 equal to one.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:44</div></div>
<div class="ttc" id="fp2__BN254_8h_html_aa0661313fc0aaf0189ca9434c50e2d15"><div class="ttname"><a href="fp2__BN254_8h.html#aa0661313fc0aaf0189ca9434c50e2d15">FP2_BN254_one</a></div><div class="ttdeci">void FP2_BN254_one(FP2_BN254 *x)</div><div class="ttdoc">Set FP2 to unity.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:120</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a9155826c0c313604a4a777885b9594ff"><div class="ttname"><a href="fp2__BN254_8h.html#a9155826c0c313604a4a777885b9594ff">FP2_BN254_mul</a></div><div class="ttdeci">void FP2_BN254_mul(FP2_BN254 *x, FP2_BN254 *y, FP2_BN254 *z)</div><div class="ttdoc">Multiplication of two FP2s.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:207</div></div>
<div class="ttc" id="fp2__BN254_8h_html_af6a6f13d8b3d9303cd3a941015b512de"><div class="ttname"><a href="fp2__BN254_8h.html#af6a6f13d8b3d9303cd3a941015b512de">FP2_BN254_from_BIGs</a></div><div class="ttdeci">void FP2_BN254_from_BIGs(FP2_BN254 *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_BN254.c:79</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__BN254_8h_html_ab85fa38b64bf516823a3f44ee02d1105"><div class="ttname"><a href="fp2__BN254_8h.html#ab85fa38b64bf516823a3f44ee02d1105">FP2_BN254_cmove</a></div><div class="ttdeci">void FP2_BN254_cmove(FP2_BN254 *x, FP2_BN254 *y, int s)</div><div class="ttdoc">Conditional copy of FP2 number.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:36</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a9900b790c2c3aa3a3470c5d95e8662ff"><div class="ttname"><a href="fp2__BN254_8h.html#a9900b790c2c3aa3a3470c5d95e8662ff">FP2_BN254_inv</a></div><div class="ttdeci">void FP2_BN254_inv(FP2_BN254 *x, FP2_BN254 *y)</div><div class="ttdoc">Inverting an FP2.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:280</div></div>
<div class="ttc" id="fp2__BN254_8h_html_aff82cb726b8db070099434f7567bcdbb"><div class="ttname"><a href="fp2__BN254_8h.html#aff82cb726b8db070099434f7567bcdbb">FP2_BN254_from_FPs</a></div><div class="ttdeci">void FP2_BN254_from_FPs(FP2_BN254 *x, FP_BN254 *a, FP_BN254 *b)</div><div class="ttdoc">Initialise FP2 from two FP numbers.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:71</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a8113c98d6a54c4d1e13412d8e30548d7"><div class="ttname"><a href="fp2__BN254_8h.html#a8113c98d6a54c4d1e13412d8e30548d7">FP2_BN254_pow</a></div><div class="ttdeci">void FP2_BN254_pow(FP2_BN254 *x, FP2_BN254 *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_BN254.c:357</div></div>
<div class="ttc" id="fp2__BN254_8h_html_a1b9071be029d78a8f5becd6204311c19"><div class="ttname"><a href="fp2__BN254_8h.html#a1b9071be029d78a8f5becd6204311c19">FP2_BN254_mul_ip</a></div><div class="ttdeci">void FP2_BN254_mul_ip(FP2_BN254 *x)</div><div class="ttdoc">Multiply an FP2 by (1+sqrt(-1))</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:310</div></div>
<div class="ttc" id="fp2__BN254_8h_html_ab742bbb7714039af62218e92f32d5f21"><div class="ttname"><a href="fp2__BN254_8h.html#ab742bbb7714039af62218e92f32d5f21">FP2_BN254_div_ip2</a></div><div class="ttdeci">void FP2_BN254_div_ip2(FP2_BN254 *x)</div><div class="ttdoc">Divide an FP2 by (1+sqrt(-1))/2 -.</div><div class="ttdef"><b>Definition:</b> fp2_BN254.c:325</div></div>
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