| <!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_BLS461.h File Reference</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="summary"> |
| <a href="#func-members">Functions</a> | |
| <a href="#var-members">Variables</a> </div> |
| <div class="headertitle"> |
| <div class="title">pair_BLS461.h File Reference</div> </div> |
| </div><!--header--> |
| <div class="contents"> |
| |
| <p>PAIR Header File. |
| <a href="#details">More...</a></p> |
| <div class="textblock"><code>#include "<a class="el" href="fp12__BLS461_8h_source.html">fp12_BLS461.h</a>"</code><br /> |
| <code>#include "<a class="el" href="ecp2__BLS461_8h_source.html">ecp2_BLS461.h</a>"</code><br /> |
| <code>#include "<a class="el" href="ecp__BLS461_8h_source.html">ecp_BLS461.h</a>"</code><br /> |
| </div> |
| <p><a href="pair__BLS461_8h_source.html">Go to the source code of this file.</a></p> |
| <table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a> |
| Functions</h2></td></tr> |
| <tr class="memitem:a14bf96302c0d77f77195e55ba09b672d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a14bf96302c0d77f77195e55ba09b672d">PAIR_BLS461_another</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> r[], <a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *PV, <a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *QV)</td></tr> |
| <tr class="memdesc:a14bf96302c0d77f77195e55ba09b672d"><td class="mdescLeft"> </td><td class="mdescRight">Precompute line functions for n-pairing. <a href="#a14bf96302c0d77f77195e55ba09b672d">More...</a><br /></td></tr> |
| <tr class="separator:a14bf96302c0d77f77195e55ba09b672d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aeb3c4bc8e9841f34801ba78ca925d450"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#aeb3c4bc8e9841f34801ba78ca925d450">PAIR_BLS461_ate</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *r, <a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *P, <a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *Q)</td></tr> |
| <tr class="memdesc:aeb3c4bc8e9841f34801ba78ca925d450"><td class="mdescLeft"> </td><td class="mdescRight">Calculate Miller loop for Optimal ATE pairing e(P,Q) <a href="#aeb3c4bc8e9841f34801ba78ca925d450">More...</a><br /></td></tr> |
| <tr class="separator:aeb3c4bc8e9841f34801ba78ca925d450"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:adcee25eb6c17b14586c65d3b2f417958"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#adcee25eb6c17b14586c65d3b2f417958">PAIR_BLS461_double_ate</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *r, <a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *P, <a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *Q, <a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *R, <a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *S)</td></tr> |
| <tr class="memdesc:adcee25eb6c17b14586c65d3b2f417958"><td class="mdescLeft"> </td><td class="mdescRight">Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S) <a href="#adcee25eb6c17b14586c65d3b2f417958">More...</a><br /></td></tr> |
| <tr class="separator:adcee25eb6c17b14586c65d3b2f417958"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a9da63a97e6d17d24ed34d04a4dffabd7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a9da63a97e6d17d24ed34d04a4dffabd7">PAIR_BLS461_fexp</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr> |
| <tr class="memdesc:a9da63a97e6d17d24ed34d04a4dffabd7"><td class="mdescLeft"> </td><td class="mdescRight">Final exponentiation of pairing, converts output of Miller loop to element in GT. <a href="#a9da63a97e6d17d24ed34d04a4dffabd7">More...</a><br /></td></tr> |
| <tr class="separator:a9da63a97e6d17d24ed34d04a4dffabd7"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a0820445bbd9b98c28bd6e498fecaa3e4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a0820445bbd9b98c28bd6e498fecaa3e4">PAIR_BLS461_G1mul</a> (<a class="el" href="structECP__BLS461.html">ECP_BLS461</a> *Q, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr> |
| <tr class="memdesc:a0820445bbd9b98c28bd6e498fecaa3e4"><td class="mdescLeft"> </td><td class="mdescRight">Fast point multiplication of a member of the group G1 by a BIG number. <a href="#a0820445bbd9b98c28bd6e498fecaa3e4">More...</a><br /></td></tr> |
| <tr class="separator:a0820445bbd9b98c28bd6e498fecaa3e4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab24b7f436a5420ba9c8663157e9eb658"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#ab24b7f436a5420ba9c8663157e9eb658">PAIR_BLS461_G2mul</a> (<a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> *P, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr> |
| <tr class="memdesc:ab24b7f436a5420ba9c8663157e9eb658"><td class="mdescLeft"> </td><td class="mdescRight">Fast point multiplication of a member of the group G2 by a BIG number. <a href="#ab24b7f436a5420ba9c8663157e9eb658">More...</a><br /></td></tr> |
| <tr class="separator:ab24b7f436a5420ba9c8663157e9eb658"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad83351a3869867f4aed55b7aa346787f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#ad83351a3869867f4aed55b7aa346787f">PAIR_BLS461_GTpow</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr> |
| <tr class="memdesc:ad83351a3869867f4aed55b7aa346787f"><td class="mdescLeft"> </td><td class="mdescRight">Fast raising of a member of GT to a BIG power. <a href="#ad83351a3869867f4aed55b7aa346787f">More...</a><br /></td></tr> |
| <tr class="separator:ad83351a3869867f4aed55b7aa346787f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a924359255ef6e88fba44985ee772db72"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a924359255ef6e88fba44985ee772db72">PAIR_BLS461_GTmember</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr> |
| <tr class="memdesc:a924359255ef6e88fba44985ee772db72"><td class="mdescLeft"> </td><td class="mdescRight">Tests FP12 for membership of GT. <a href="#a924359255ef6e88fba44985ee772db72">More...</a><br /></td></tr> |
| <tr class="separator:a924359255ef6e88fba44985ee772db72"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a34c3d1defe3a2593bf9ec02e6767b808"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a34c3d1defe3a2593bf9ec02e6767b808">PAIR_BLS461_nbits</a> (<a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> n3, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> n)</td></tr> |
| <tr class="memdesc:a34c3d1defe3a2593bf9ec02e6767b808"><td class="mdescLeft"> </td><td class="mdescRight">Prepare Ate parameter. <a href="#a34c3d1defe3a2593bf9ec02e6767b808">More...</a><br /></td></tr> |
| <tr class="separator:a34c3d1defe3a2593bf9ec02e6767b808"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ae130a2af81eb0cf34f3e714e456d7278"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#ae130a2af81eb0cf34f3e714e456d7278">PAIR_BLS461_initmp</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> r[])</td></tr> |
| <tr class="memdesc:ae130a2af81eb0cf34f3e714e456d7278"><td class="mdescLeft"> </td><td class="mdescRight">Initialise structure for multi-pairing. <a href="#ae130a2af81eb0cf34f3e714e456d7278">More...</a><br /></td></tr> |
| <tr class="separator:ae130a2af81eb0cf34f3e714e456d7278"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a8312160a11243f1bc5d678d8194cb234"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a8312160a11243f1bc5d678d8194cb234">PAIR_BLS461_miller</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *res, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> r[])</td></tr> |
| <tr class="memdesc:a8312160a11243f1bc5d678d8194cb234"><td class="mdescLeft"> </td><td class="mdescRight">Miller loop. <a href="#a8312160a11243f1bc5d678d8194cb234">More...</a><br /></td></tr> |
| <tr class="separator:a8312160a11243f1bc5d678d8194cb234"><td class="memSeparator" colspan="2"> </td></tr> |
| </table><table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a> |
| Variables</h2></td></tr> |
| <tr class="memitem:a164b6ff6a3e68d61d3423da98df47959"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a164b6ff6a3e68d61d3423da98df47959">CURVE_Bnx_BLS461</a></td></tr> |
| <tr class="separator:a164b6ff6a3e68d61d3423da98df47959"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:afe7e0fd0c39ff0b4b1b8de3099ce81f0"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#afe7e0fd0c39ff0b4b1b8de3099ce81f0">CURVE_Cru_BLS461</a></td></tr> |
| <tr class="separator:afe7e0fd0c39ff0b4b1b8de3099ce81f0"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad2d861f32f2716548769bce77467bf5b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#ad2d861f32f2716548769bce77467bf5b">CURVE_W_BLS461</a> [2]</td></tr> |
| <tr class="separator:ad2d861f32f2716548769bce77467bf5b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:af67e6f3e94e26dceea58d9c96581bef5"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#af67e6f3e94e26dceea58d9c96581bef5">CURVE_SB_BLS461</a> [2][2]</td></tr> |
| <tr class="separator:af67e6f3e94e26dceea58d9c96581bef5"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a49c91ef078471fdb5370cc6c8f8f9c1b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a49c91ef078471fdb5370cc6c8f8f9c1b">CURVE_WB_BLS461</a> [4]</td></tr> |
| <tr class="separator:a49c91ef078471fdb5370cc6c8f8f9c1b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a30e9ae647c0f01230bedc414e4c8955a"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS461_8h.html#a30e9ae647c0f01230bedc414e4c8955a">CURVE_BB_BLS461</a> [4][4]</td></tr> |
| <tr class="separator:a30e9ae647c0f01230bedc414e4c8955a"><td class="memSeparator" colspan="2"> </td></tr> |
| </table> |
| <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2> |
| <div class="textblock"><dl class="section author"><dt>Author</dt><dd>Mike Scott </dd></dl> |
| </div><h2 class="groupheader">Function Documentation</h2> |
| <a id="a14bf96302c0d77f77195e55ba09b672d"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a14bf96302c0d77f77195e55ba09b672d">◆ </a></span>PAIR_BLS461_another()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS461_another </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> </td> |
| <td class="paramname"><em>r</em>[], </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> * </td> |
| <td class="paramname"><em>PV</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP__BLS461.html">ECP_BLS461</a> * </td> |
| <td class="paramname"><em>QV</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>array of precomputed FP12 products of line functions </td></tr> |
| <tr><td class="paramname">PV</td><td>ECP2 instance, an element of G2 </td></tr> |
| <tr><td class="paramname">QV</td><td>ECP instance, an element of G1 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="aeb3c4bc8e9841f34801ba78ca925d450"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aeb3c4bc8e9841f34801ba78ca925d450">◆ </a></span>PAIR_BLS461_ate()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS461_ate </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP__BLS461.html">ECP_BLS461</a> * </td> |
| <td class="paramname"><em>Q</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FP12 result of the pairing calculation e(P,Q) </td></tr> |
| <tr><td class="paramname">P</td><td>ECP2 instance, an element of G2 </td></tr> |
| <tr><td class="paramname">Q</td><td>ECP instance, an element of G1 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="adcee25eb6c17b14586c65d3b2f417958"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#adcee25eb6c17b14586c65d3b2f417958">◆ </a></span>PAIR_BLS461_double_ate()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS461_double_ate </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP__BLS461.html">ECP_BLS461</a> * </td> |
| <td class="paramname"><em>Q</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> * </td> |
| <td class="paramname"><em>R</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP__BLS461.html">ECP_BLS461</a> * </td> |
| <td class="paramname"><em>S</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Faster than calculating two separate pairings </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FP12 result of the pairing calculation e(P,Q).e(R,S), an element of GT </td></tr> |
| <tr><td class="paramname">P</td><td>ECP2 instance, an element of G2 </td></tr> |
| <tr><td class="paramname">Q</td><td>ECP instance, an element of G1 </td></tr> |
| <tr><td class="paramname">R</td><td>ECP2 instance, an element of G2 </td></tr> |
| <tr><td class="paramname">S</td><td>ECP instance, an element of G1 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a9da63a97e6d17d24ed34d04a4dffabd7"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a9da63a97e6d17d24ed34d04a4dffabd7">◆ </a></span>PAIR_BLS461_fexp()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS461_fexp </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Here p is the internal modulus, and r is the group order </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP12, on exit = x^((p^12-1)/r) </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a0820445bbd9b98c28bd6e498fecaa3e4"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a0820445bbd9b98c28bd6e498fecaa3e4">◆ </a></span>PAIR_BLS461_G1mul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS461_G1mul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP__BLS461.html">ECP_BLS461</a> * </td> |
| <td class="paramname"><em>Q</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td> |
| <td class="paramname"><em>b</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>May exploit endomorphism for speed. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">Q</td><td>ECP member of G1. </td></tr> |
| <tr><td class="paramname">b</td><td>BIG multiplier </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ab24b7f436a5420ba9c8663157e9eb658"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ab24b7f436a5420ba9c8663157e9eb658">◆ </a></span>PAIR_BLS461_G2mul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS461_G2mul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS461.html">ECP2_BLS461</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td> |
| <td class="paramname"><em>b</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>May exploit endomorphism for speed. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">P</td><td>ECP2 member of G1. </td></tr> |
| <tr><td class="paramname">b</td><td>BIG multiplier </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a924359255ef6e88fba44985ee772db72"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a924359255ef6e88fba44985ee772db72">◆ </a></span>PAIR_BLS461_GTmember()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int PAIR_BLS461_GTmember </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP12 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if x is in GT, else return 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="ad83351a3869867f4aed55b7aa346787f"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ad83351a3869867f4aed55b7aa346787f">◆ </a></span>PAIR_BLS461_GTpow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS461_GTpow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td> |
| <td class="paramname"><em>b</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>May exploit endomorphism for speed. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP12 member of GT. </td></tr> |
| <tr><td class="paramname">b</td><td>BIG exponent </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ae130a2af81eb0cf34f3e714e456d7278"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ae130a2af81eb0cf34f3e714e456d7278">◆ </a></span>PAIR_BLS461_initmp()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS461_initmp </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> </td> |
| <td class="paramname"><em>r</em>[]</td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FP12 array, to be initialised to 1 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a8312160a11243f1bc5d678d8194cb234"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a8312160a11243f1bc5d678d8194cb234">◆ </a></span>PAIR_BLS461_miller()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS461_miller </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> * </td> |
| <td class="paramname"><em>res</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> </td> |
| <td class="paramname"><em>r</em>[] </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">res</td><td>FP12 result </td></tr> |
| <tr><td class="paramname">r</td><td>FP12 precomputed array of accumulated line functions </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a34c3d1defe3a2593bf9ec02e6767b808"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a34c3d1defe3a2593bf9ec02e6767b808">◆ </a></span>PAIR_BLS461_nbits()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int PAIR_BLS461_nbits </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td> |
| <td class="paramname"><em>n3</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">n</td><td>BIG parameter </td></tr> |
| <tr><td class="paramname">n3</td><td>BIG paramter = 3*n </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>number of nits in n3 </dd></dl> |
| |
| </div> |
| </div> |
| <h2 class="groupheader">Variable Documentation</h2> |
| <a id="a30e9ae647c0f01230bedc414e4c8955a"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a30e9ae647c0f01230bedc414e4c8955a">◆ </a></span>CURVE_BB_BLS461</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_BB_BLS461[4][4]</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve constant for GS decomposition </p> |
| |
| </div> |
| </div> |
| <a id="a164b6ff6a3e68d61d3423da98df47959"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a164b6ff6a3e68d61d3423da98df47959">◆ </a></span>CURVE_Bnx_BLS461</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_Bnx_BLS461</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve x parameter </p> |
| |
| </div> |
| </div> |
| <a id="afe7e0fd0c39ff0b4b1b8de3099ce81f0"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#afe7e0fd0c39ff0b4b1b8de3099ce81f0">◆ </a></span>CURVE_Cru_BLS461</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_Cru_BLS461</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve Cube Root of Unity </p> |
| |
| </div> |
| </div> |
| <a id="af67e6f3e94e26dceea58d9c96581bef5"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#af67e6f3e94e26dceea58d9c96581bef5">◆ </a></span>CURVE_SB_BLS461</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_SB_BLS461[2][2]</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve constant for GLV decomposition </p> |
| |
| </div> |
| </div> |
| <a id="ad2d861f32f2716548769bce77467bf5b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ad2d861f32f2716548769bce77467bf5b">◆ </a></span>CURVE_W_BLS461</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_W_BLS461[2]</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve constant for GLV decomposition </p> |
| |
| </div> |
| </div> |
| <a id="a49c91ef078471fdb5370cc6c8f8f9c1b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a49c91ef078471fdb5370cc6c8f8f9c1b">◆ </a></span>CURVE_WB_BLS461</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> CURVE_WB_BLS461[4]</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve constant for GS decomposition </p> |
| |
| </div> |
| </div> |
| </div><!-- contents --> |
| <!-- start footer part --> |
| <hr class="footer"/><address class="footer"><small> |
| Generated by  <a href="http://www.doxygen.org/index.html"> |
| <img class="footer" src="doxygen.png" alt="doxygen"/> |
| </a> 1.8.13 |
| </small></address> |
| </body> |
| </html> |