Google Git
Sign in
apache / incubator-milagro / refs/heads/asf-site / . / cdocs / pair__FP512BN_8h_source.html
blob: cfdd057fcfac9b33be7196ac8d80643b5d3302b5 [file] [log] [blame]
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://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 1.8.13"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>AMCL: pair_FP512BN.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>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
extensions: ["tex2jax.js"],
jax: ["input/TeX","output/HTML-CSS"],
});
</script><script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.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 1.8.13 -->
<script type="text/javascript">
var searchBox = new SearchBox("searchBox", "search",false,'Search');
</script>
<script type="text/javascript" src="menudata.js"></script>
<script type="text/javascript" src="menu.js"></script>
<script type="text/javascript">
$(function() {
initMenu('',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
</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_FP512BN.h</div> </div>
</div><!--header-->
<div class="contents">
<a href="pair__FP512BN_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_FP512BN_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define PAIR_FP512BN_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__FP512BN_8h.html">fp12_FP512BN.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__FP512BN_8h.html">ecp2_FP512BN.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__FP512BN_8h.html">ecp_FP512BN.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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> <a class="code" href="pair__FP512BN_8h.html#a9295120c8bc5f87ec3beee2f2b368c36">CURVE_Bnx_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> <a class="code" href="pair__FP512BN_8h.html#a2cbeec7c489096de65a000f9f0b96ca0">CURVE_Cru_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> <a class="code" href="pair__FP512BN_8h.html#aa30bd494d22b536ca5d247674c394bea">CURVE_W_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> <a class="code" href="pair__FP512BN_8h.html#aa9c96b7b8f982ae7ae594218d6aee2f6">CURVE_SB_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> <a class="code" href="pair__FP512BN_8h.html#a71f89bc43d50f3f3f3161c5d9337fd49">CURVE_WB_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> <a class="code" href="pair__FP512BN_8h.html#aa4b8d3bf44351f475ba69561eaac3a1b">CURVE_BB_FP512BN</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__FP512BN_8h.html#addb9baf99c7f3c05c892f83eb05cc968">PAIR_FP512BN_another</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> r[],<a class="code" href="structECP2__FP512BN.html">ECP2_FP512BN</a>* PV,<a class="code" href="structECP__FP512BN.html">ECP_FP512BN</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__FP512BN_8h.html#a490d94042be5a94fc86afb718f306bf0">PAIR_FP512BN_ate</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *r,<a class="code" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *P,<a class="code" href="structECP__FP512BN.html">ECP_FP512BN</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__FP512BN_8h.html#a2060671f7ed18fc80907e78d42cd9b47">PAIR_FP512BN_double_ate</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *r,<a class="code" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *P,<a class="code" href="structECP__FP512BN.html">ECP_FP512BN</a> *Q,<a class="code" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *R,<a class="code" href="structECP__FP512BN.html">ECP_FP512BN</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__FP512BN_8h.html#ac9984f2d5c627889d6819a0a42200425">PAIR_FP512BN_fexp</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</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__FP512BN_8h.html#a30d8f297d036b66d0b72738c38cabd1a">PAIR_FP512BN_G1mul</a>(<a class="code" href="structECP__FP512BN.html">ECP_FP512BN</a> *Q,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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__FP512BN_8h.html#a64772a99687b9a6ec9755779ce196ab1">PAIR_FP512BN_G2mul</a>(<a class="code" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *P,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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__FP512BN_8h.html#a9db1a72fd40bd20f3891e3f66356ef53">PAIR_FP512BN_GTpow</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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__FP512BN_8h.html#a7f097b0c590545af878fd4c6fdf766aa">PAIR_FP512BN_GTmember</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</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__FP512BN_8h.html#a63495d10ae7efa053daf4fe1c7f092a3">PAIR_FP512BN_nbits</a>(<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> n3,<a class="code" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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__FP512BN_8h.html#ada64af2c0037b24da15149a15006cf7a">PAIR_FP512BN_initmp</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</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__FP512BN_8h.html#abd4a4760af3759f4508f91f17814a3e6">PAIR_FP512BN_miller</a>(<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</a> *res,<a class="code" href="structFP12__FP512BN.html">FP12_FP512BN</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="big__512__60_8h_html_a38953b585df73ecbd30fded6cc5b54b7"><div class="ttname"><a href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a></div><div class="ttdeci">chunk BIG_512_60[NLEN_512_60]</div><div class="ttdef"><b>Definition:</b> big_512_60.h:58</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_addb9baf99c7f3c05c892f83eb05cc968"><div class="ttname"><a href="pair__FP512BN_8h.html#addb9baf99c7f3c05c892f83eb05cc968">PAIR_FP512BN_another</a></div><div class="ttdeci">void PAIR_FP512BN_another(FP12_FP512BN r[], ECP2_FP512BN *PV, ECP_FP512BN *QV)</div><div class="ttdoc">Precompute line functions for n-pairing. </div><div class="ttdef"><b>Definition:</b> pair_FP512BN.c:200</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a63495d10ae7efa053daf4fe1c7f092a3"><div class="ttname"><a href="pair__FP512BN_8h.html#a63495d10ae7efa053daf4fe1c7f092a3">PAIR_FP512BN_nbits</a></div><div class="ttdeci">int PAIR_FP512BN_nbits(BIG_512_60 n3, BIG_512_60 n)</div><div class="ttdoc">Prepare Ate parameter. </div><div class="ttdef"><b>Definition:</b> pair_FP512BN.c:139</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a7f097b0c590545af878fd4c6fdf766aa"><div class="ttname"><a href="pair__FP512BN_8h.html#a7f097b0c590545af878fd4c6fdf766aa">PAIR_FP512BN_GTmember</a></div><div class="ttdeci">int PAIR_FP512BN_GTmember(FP12_FP512BN *x)</div><div class="ttdoc">Tests FP12 for membership of GT. </div></div>
<div class="ttc" id="ecp__FP512BN_8h_html"><div class="ttname"><a href="ecp__FP512BN_8h.html">ecp_FP512BN.h</a></div><div class="ttdoc">ECP Header File. </div></div>
<div class="ttc" id="pair__FP512BN_8h_html_aa9c96b7b8f982ae7ae594218d6aee2f6"><div class="ttname"><a href="pair__FP512BN_8h.html#aa9c96b7b8f982ae7ae594218d6aee2f6">CURVE_SB_FP512BN</a></div><div class="ttdeci">const BIG_512_60 CURVE_SB_FP512BN[2][2]</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_aa4b8d3bf44351f475ba69561eaac3a1b"><div class="ttname"><a href="pair__FP512BN_8h.html#aa4b8d3bf44351f475ba69561eaac3a1b">CURVE_BB_FP512BN</a></div><div class="ttdeci">const BIG_512_60 CURVE_BB_FP512BN[4][4]</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a64772a99687b9a6ec9755779ce196ab1"><div class="ttname"><a href="pair__FP512BN_8h.html#a64772a99687b9a6ec9755779ce196ab1">PAIR_FP512BN_G2mul</a></div><div class="ttdeci">void PAIR_FP512BN_G2mul(ECP2_FP512BN *P, BIG_512_60 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_FP512BN.c:764</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a9295120c8bc5f87ec3beee2f2b368c36"><div class="ttname"><a href="pair__FP512BN_8h.html#a9295120c8bc5f87ec3beee2f2b368c36">CURVE_Bnx_FP512BN</a></div><div class="ttdeci">const BIG_512_60 CURVE_Bnx_FP512BN</div></div>
<div class="ttc" id="ecp2__FP512BN_8h_html"><div class="ttname"><a href="ecp2__FP512BN_8h.html">ecp2_FP512BN.h</a></div><div class="ttdoc">ECP2 Header File. </div></div>
<div class="ttc" id="pair__FP512BN_8h_html_aa30bd494d22b536ca5d247674c394bea"><div class="ttname"><a href="pair__FP512BN_8h.html#aa30bd494d22b536ca5d247674c394bea">CURVE_W_FP512BN</a></div><div class="ttdeci">const BIG_512_60 CURVE_W_FP512BN[2]</div></div>
<div class="ttc" id="structECP2__FP512BN_html"><div class="ttname"><a href="structECP2__FP512BN.html">ECP2_FP512BN</a></div><div class="ttdoc">ECP2 Structure - Elliptic Curve Point over quadratic extension field. </div><div class="ttdef"><b>Definition:</b> ecp2_FP512BN.h:37</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a71f89bc43d50f3f3f3161c5d9337fd49"><div class="ttname"><a href="pair__FP512BN_8h.html#a71f89bc43d50f3f3f3161c5d9337fd49">CURVE_WB_FP512BN</a></div><div class="ttdeci">const BIG_512_60 CURVE_WB_FP512BN[4]</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a30d8f297d036b66d0b72738c38cabd1a"><div class="ttname"><a href="pair__FP512BN_8h.html#a30d8f297d036b66d0b72738c38cabd1a">PAIR_FP512BN_G1mul</a></div><div class="ttdeci">void PAIR_FP512BN_G1mul(ECP_FP512BN *Q, BIG_512_60 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_FP512BN.c:718</div></div>
<div class="ttc" id="structECP__FP512BN_html"><div class="ttname"><a href="structECP__FP512BN.html">ECP_FP512BN</a></div><div class="ttdoc">ECP structure - Elliptic Curve Point over base field. </div><div class="ttdef"><b>Definition:</b> ecp_FP512BN.h:105</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a490d94042be5a94fc86afb718f306bf0"><div class="ttname"><a href="pair__FP512BN_8h.html#a490d94042be5a94fc86afb718f306bf0">PAIR_FP512BN_ate</a></div><div class="ttdeci">void PAIR_FP512BN_ate(FP12_FP512BN *r, ECP2_FP512BN *P, ECP_FP512BN *Q)</div><div class="ttdoc">Calculate Miller loop for Optimal ATE pairing e(P,Q) </div><div class="ttdef"><b>Definition:</b> pair_FP512BN.c:272</div></div>
<div class="ttc" id="structFP12__FP512BN_html"><div class="ttname"><a href="structFP12__FP512BN.html">FP12_FP512BN</a></div><div class="ttdoc">FP12 Structure - towered over three FP4. </div><div class="ttdef"><b>Definition:</b> fp12_FP512BN.h:36</div></div>
<div class="ttc" id="fp12__FP512BN_8h_html"><div class="ttname"><a href="fp12__FP512BN_8h.html">fp12_FP512BN.h</a></div><div class="ttdoc">FP12 Header File. </div></div>
<div class="ttc" id="pair__FP512BN_8h_html_ac9984f2d5c627889d6819a0a42200425"><div class="ttname"><a href="pair__FP512BN_8h.html#ac9984f2d5c627889d6819a0a42200425">PAIR_FP512BN_fexp</a></div><div class="ttdeci">void PAIR_FP512BN_fexp(FP12_FP512BN *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_FP512BN.c:469</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_abd4a4760af3759f4508f91f17814a3e6"><div class="ttname"><a href="pair__FP512BN_8h.html#abd4a4760af3759f4508f91f17814a3e6">PAIR_FP512BN_miller</a></div><div class="ttdeci">void PAIR_FP512BN_miller(FP12_FP512BN *res, FP12_FP512BN r[])</div><div class="ttdoc">Miller loop. </div><div class="ttdef"><b>Definition:</b> pair_FP512BN.c:182</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a9db1a72fd40bd20f3891e3f66356ef53"><div class="ttname"><a href="pair__FP512BN_8h.html#a9db1a72fd40bd20f3891e3f66356ef53">PAIR_FP512BN_GTpow</a></div><div class="ttdeci">void PAIR_FP512BN_GTpow(FP12_FP512BN *x, BIG_512_60 b)</div><div class="ttdoc">Fast raising of a member of GT to a BIG power. </div><div class="ttdef"><b>Definition:</b> pair_FP512BN.c:813</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a2060671f7ed18fc80907e78d42cd9b47"><div class="ttname"><a href="pair__FP512BN_8h.html#a2060671f7ed18fc80907e78d42cd9b47">PAIR_FP512BN_double_ate</a></div><div class="ttdeci">void PAIR_FP512BN_double_ate(FP12_FP512BN *r, ECP2_FP512BN *P, ECP_FP512BN *Q, ECP2_FP512BN *R, ECP_FP512BN *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_FP512BN.c:356</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_ada64af2c0037b24da15149a15006cf7a"><div class="ttname"><a href="pair__FP512BN_8h.html#ada64af2c0037b24da15149a15006cf7a">PAIR_FP512BN_initmp</a></div><div class="ttdeci">void PAIR_FP512BN_initmp(FP12_FP512BN r[])</div><div class="ttdoc">Initialise structure for multi-pairing. </div><div class="ttdef"><b>Definition:</b> pair_FP512BN.c:173</div></div>
<div class="ttc" id="pair__FP512BN_8h_html_a2cbeec7c489096de65a000f9f0b96ca0"><div class="ttname"><a href="pair__FP512BN_8h.html#a2cbeec7c489096de65a000f9f0b96ca0">CURVE_Cru_FP512BN</a></div><div class="ttdeci">const BIG_512_60 CURVE_Cru_FP512BN</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> 1.8.13
</small></address>
</body>
</html>