Google Git
Sign in
apache / incubator-milagro / b63e6dda48758c6d401a89facac899310e183962 / . / website / static / cdocs / pair__BN254_8h_source.html
blob: 006614d37624fc2fa4237504b43de4dafafa3925 [file] [log] [blame]
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.15"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>AMCL: pair_BN254.h Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/searchdata.js"></script>
<script type="text/javascript" src="search/search.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td id="projectalign" style="padding-left: 0.5em;">
<div id="projectname">AMCL
</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.15 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
var searchBox = new SearchBox("searchBox", "search",false,'Search');
/* @license-end */
</script>
<script type="text/javascript" src="menudata.js"></script>
<script type="text/javascript" src="menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
$(function() {
initMenu('',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
/* @license-end */</script>
<div id="main-nav"></div>
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0"
name="MSearchResults" id="MSearchResults">
</iframe>
</div>
<div id="nav-path" class="navpath">
<ul>
<li class="navelem"><a class="el" href="dir_df7310d1a865926cc859bcfb1880083f.html">include</a></li> </ul>
</div>
</div><!-- top -->
<div class="header">
<div class="headertitle">
<div class="title">pair_BN254.h</div> </div>
</div><!--header-->
<div class="contents">
<a href="pair__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 PAIR_BN254_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define PAIR_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="fp12__BN254_8h.html">fp12_BN254.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="ecp2__BN254_8h.html">ecp2_BN254.h</a>&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="ecp__BN254_8h.html">ecp_BN254.h</a>&quot;</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="comment">/* Pairing constants */</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="keyword">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="pair__BN254_8h.html#a891b9fda048e66408bd6d66bf41d67ea">CURVE_Bnx_BN254</a>; </div><div class="line"><a name="l00037"></a><span class="lineno"> 37</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="pair__BN254_8h.html#a5f4fe1daf3cec6d41d1bee51d058c6c4">CURVE_Cru_BN254</a>; </div><div class="line"><a name="l00039"></a><span class="lineno"> 39</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="pair__BN254_8h.html#a1547abe4b2c6ee56abc8d94be440b25f">CURVE_W_BN254</a>[2]; </div><div class="line"><a name="l00040"></a><span class="lineno"> 40</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="pair__BN254_8h.html#aceeeb86f794c7df551b3faea905b10bf">CURVE_SB_BN254</a>[2][2]; </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</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="pair__BN254_8h.html#a74aa353773228d6a21bd2b76f52ae9ea">CURVE_WB_BN254</a>[4]; </div><div class="line"><a name="l00042"></a><span class="lineno"> 42</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="pair__BN254_8h.html#a4206cf145c73ad24598227e8b63515fd">CURVE_BB_BN254</a>[4][4]; </div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="comment">/* Pairing function prototypes */</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BN254_8h.html#a1bd444d1f57b13eb8442a43d8ccb8621">PAIR_BN254_another</a>(<a class="code" href="structFP12__BN254.html">FP12_BN254</a> r[],<a class="code" href="structECP2__BN254.html">ECP2_BN254</a>* PV,<a class="code" href="structECP__BN254.html">ECP_BN254</a>* QV);</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BN254_8h.html#a82ef1fdbaf7d9e2b1f6625cf18b6f77e">PAIR_BN254_ate</a>(<a class="code" href="structFP12__BN254.html">FP12_BN254</a> *r,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q);</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BN254_8h.html#a6e7eda947dca9737fbb27bdb46c8d53d">PAIR_BN254_double_ate</a>(<a class="code" href="structFP12__BN254.html">FP12_BN254</a> *r,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *P,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q,<a class="code" href="structECP2__BN254.html">ECP2_BN254</a> *R,<a class="code" href="structECP__BN254.html">ECP_BN254</a> *S);</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BN254_8h.html#a935bd71a4fe685d88568587c0567260c">PAIR_BN254_fexp</a>(<a class="code" href="structFP12__BN254.html">FP12_BN254</a> *x);</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BN254_8h.html#ad808f10a0a462ee8b35aeedd55b2319f">PAIR_BN254_G1mul</a>(<a class="code" href="structECP__BN254.html">ECP_BN254</a> *Q,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BN254_8h.html#a985b5d9185b584d8f6673eb90bd2a736">PAIR_BN254_G2mul</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="l00102"></a><span class="lineno"> 102</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BN254_8h.html#a97b7413dfc7469c7dc308aac4f6cfab2">PAIR_BN254_GTpow</a>(<a class="code" href="structFP12__BN254.html">FP12_BN254</a> *x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="pair__BN254_8h.html#ac1e79ddb60b405d41e4a0caee8241ee0">PAIR_BN254_GTmember</a>(<a class="code" href="structFP12__BN254.html">FP12_BN254</a> *x);</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="pair__BN254_8h.html#a23768454cf931dfe120e74789e26f942">PAIR_BN254_nbits</a>(<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> n3,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> n);</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="pair__BN254_8h.html#a71cb96bc181b73d17f0559d9da683252">PAIR_BN254_initmp</a>(<a class="code" href="structFP12__BN254.html">FP12_BN254</a> r[]);</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;</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="pair__BN254_8h.html#aeaa483c25a9c4ab06c1b56668fafad8b">PAIR_BN254_miller</a>(<a class="code" href="structFP12__BN254.html">FP12_BN254</a> *res,<a class="code" href="structFP12__BN254.html">FP12_BN254</a> r[]);</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="structECP__BN254_html"><div class="ttname"><a href="structECP__BN254.html">ECP_BN254</a></div><div class="ttdoc">ECP structure - Elliptic Curve Point over base field.</div><div class="ttdef"><b>Definition:</b> ecp_BN254.h:105</div></div>
<div class="ttc" id="pair__BN254_8h_html_a97b7413dfc7469c7dc308aac4f6cfab2"><div class="ttname"><a href="pair__BN254_8h.html#a97b7413dfc7469c7dc308aac4f6cfab2">PAIR_BN254_GTpow</a></div><div class="ttdeci">void PAIR_BN254_GTpow(FP12_BN254 *x, BIG_256_56 b)</div><div class="ttdoc">Fast raising of a member of GT to a BIG power.</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:813</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="pair__BN254_8h_html_a985b5d9185b584d8f6673eb90bd2a736"><div class="ttname"><a href="pair__BN254_8h.html#a985b5d9185b584d8f6673eb90bd2a736">PAIR_BN254_G2mul</a></div><div class="ttdeci">void PAIR_BN254_G2mul(ECP2_BN254 *P, BIG_256_56 b)</div><div class="ttdoc">Fast point multiplication of a member of the group G2 by a BIG number.</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:764</div></div>
<div class="ttc" id="structFP12__BN254_html"><div class="ttname"><a href="structFP12__BN254.html">FP12_BN254</a></div><div class="ttdoc">FP12 Structure - towered over three FP4.</div><div class="ttdef"><b>Definition:</b> fp12_BN254.h:36</div></div>
<div class="ttc" id="pair__BN254_8h_html_a23768454cf931dfe120e74789e26f942"><div class="ttname"><a href="pair__BN254_8h.html#a23768454cf931dfe120e74789e26f942">PAIR_BN254_nbits</a></div><div class="ttdeci">int PAIR_BN254_nbits(BIG_256_56 n3, BIG_256_56 n)</div><div class="ttdoc">Prepare Ate parameter.</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:139</div></div>
<div class="ttc" id="fp12__BN254_8h_html"><div class="ttname"><a href="fp12__BN254_8h.html">fp12_BN254.h</a></div><div class="ttdoc">FP12 Header File.</div></div>
<div class="ttc" id="pair__BN254_8h_html_aceeeb86f794c7df551b3faea905b10bf"><div class="ttname"><a href="pair__BN254_8h.html#aceeeb86f794c7df551b3faea905b10bf">CURVE_SB_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_SB_BN254[2][2]</div></div>
<div class="ttc" id="pair__BN254_8h_html_a1bd444d1f57b13eb8442a43d8ccb8621"><div class="ttname"><a href="pair__BN254_8h.html#a1bd444d1f57b13eb8442a43d8ccb8621">PAIR_BN254_another</a></div><div class="ttdeci">void PAIR_BN254_another(FP12_BN254 r[], ECP2_BN254 *PV, ECP_BN254 *QV)</div><div class="ttdoc">Precompute line functions for n-pairing.</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:200</div></div>
<div class="ttc" id="pair__BN254_8h_html_a935bd71a4fe685d88568587c0567260c"><div class="ttname"><a href="pair__BN254_8h.html#a935bd71a4fe685d88568587c0567260c">PAIR_BN254_fexp</a></div><div class="ttdeci">void PAIR_BN254_fexp(FP12_BN254 *x)</div><div class="ttdoc">Final exponentiation of pairing, converts output of Miller loop to element in GT.</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:469</div></div>
<div class="ttc" id="pair__BN254_8h_html_a6e7eda947dca9737fbb27bdb46c8d53d"><div class="ttname"><a href="pair__BN254_8h.html#a6e7eda947dca9737fbb27bdb46c8d53d">PAIR_BN254_double_ate</a></div><div class="ttdeci">void PAIR_BN254_double_ate(FP12_BN254 *r, ECP2_BN254 *P, ECP_BN254 *Q, ECP2_BN254 *R, ECP_BN254 *S)</div><div class="ttdoc">Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S)</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:356</div></div>
<div class="ttc" id="pair__BN254_8h_html_a891b9fda048e66408bd6d66bf41d67ea"><div class="ttname"><a href="pair__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"><div class="ttname"><a href="ecp2__BN254_8h.html">ecp2_BN254.h</a></div><div class="ttdoc">ECP2 Header File.</div></div>
<div class="ttc" id="pair__BN254_8h_html_a74aa353773228d6a21bd2b76f52ae9ea"><div class="ttname"><a href="pair__BN254_8h.html#a74aa353773228d6a21bd2b76f52ae9ea">CURVE_WB_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_WB_BN254[4]</div></div>
<div class="ttc" id="pair__BN254_8h_html_aeaa483c25a9c4ab06c1b56668fafad8b"><div class="ttname"><a href="pair__BN254_8h.html#aeaa483c25a9c4ab06c1b56668fafad8b">PAIR_BN254_miller</a></div><div class="ttdeci">void PAIR_BN254_miller(FP12_BN254 *res, FP12_BN254 r[])</div><div class="ttdoc">Miller loop.</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:182</div></div>
<div class="ttc" id="pair__BN254_8h_html_a71cb96bc181b73d17f0559d9da683252"><div class="ttname"><a href="pair__BN254_8h.html#a71cb96bc181b73d17f0559d9da683252">PAIR_BN254_initmp</a></div><div class="ttdeci">void PAIR_BN254_initmp(FP12_BN254 r[])</div><div class="ttdoc">Initialise structure for multi-pairing.</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:173</div></div>
<div class="ttc" id="ecp__BN254_8h_html"><div class="ttname"><a href="ecp__BN254_8h.html">ecp_BN254.h</a></div><div class="ttdoc">ECP Header File.</div></div>
<div class="ttc" id="pair__BN254_8h_html_a5f4fe1daf3cec6d41d1bee51d058c6c4"><div class="ttname"><a href="pair__BN254_8h.html#a5f4fe1daf3cec6d41d1bee51d058c6c4">CURVE_Cru_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_Cru_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="pair__BN254_8h_html_a1547abe4b2c6ee56abc8d94be440b25f"><div class="ttname"><a href="pair__BN254_8h.html#a1547abe4b2c6ee56abc8d94be440b25f">CURVE_W_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_W_BN254[2]</div></div>
<div class="ttc" id="pair__BN254_8h_html_a4206cf145c73ad24598227e8b63515fd"><div class="ttname"><a href="pair__BN254_8h.html#a4206cf145c73ad24598227e8b63515fd">CURVE_BB_BN254</a></div><div class="ttdeci">const BIG_256_56 CURVE_BB_BN254[4][4]</div></div>
<div class="ttc" id="pair__BN254_8h_html_ac1e79ddb60b405d41e4a0caee8241ee0"><div class="ttname"><a href="pair__BN254_8h.html#ac1e79ddb60b405d41e4a0caee8241ee0">PAIR_BN254_GTmember</a></div><div class="ttdeci">int PAIR_BN254_GTmember(FP12_BN254 *x)</div><div class="ttdoc">Tests FP12 for membership of GT.</div></div>
<div class="ttc" id="pair__BN254_8h_html_ad808f10a0a462ee8b35aeedd55b2319f"><div class="ttname"><a href="pair__BN254_8h.html#ad808f10a0a462ee8b35aeedd55b2319f">PAIR_BN254_G1mul</a></div><div class="ttdeci">void PAIR_BN254_G1mul(ECP_BN254 *Q, BIG_256_56 b)</div><div class="ttdoc">Fast point multiplication of a member of the group G1 by a BIG number.</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:718</div></div>
<div class="ttc" id="pair__BN254_8h_html_a82ef1fdbaf7d9e2b1f6625cf18b6f77e"><div class="ttname"><a href="pair__BN254_8h.html#a82ef1fdbaf7d9e2b1f6625cf18b6f77e">PAIR_BN254_ate</a></div><div class="ttdeci">void PAIR_BN254_ate(FP12_BN254 *r, ECP2_BN254 *P, ECP_BN254 *Q)</div><div class="ttdoc">Calculate Miller loop for Optimal ATE pairing e(P,Q)</div><div class="ttdef"><b>Definition:</b> pair_BN254.c:272</div></div>
</div><!-- fragment --></div><!-- contents -->
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Generated by &#160;<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/>
</a> 1.8.15
</small></address>
</body>
</html>