blob: c68b44228ffd8b039cedd954b0a8a86ba9ba7ff6 [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: fp4_BLS381.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="#nested-classes">Data Structures</a> &#124;
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">fp4_BLS381.h File Reference</div> </div>
</div><!--header-->
<div class="contents">
<p>FP4 Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="fp2__BLS381_8h_source.html">fp2_BLS381.h</a>&quot;</code><br />
<code>#include &quot;config_curve_BLS381.h&quot;</code><br />
</div>
<p><a href="fp4__BLS381_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="nested-classes"></a>
Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP4 Structure - towered over two FP2. <a href="structFP4__BLS381.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aa51157714a2a0e4a5c50e64cd504fe46"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#aa51157714a2a0e4a5c50e64cd504fe46">FP4_BLS381_iszilch</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:aa51157714a2a0e4a5c50e64cd504fe46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to zero. <a href="#aa51157714a2a0e4a5c50e64cd504fe46">More...</a><br /></td></tr>
<tr class="separator:aa51157714a2a0e4a5c50e64cd504fe46"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af9cf51971cc8f573c7344558d1339789"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#af9cf51971cc8f573c7344558d1339789">FP4_BLS381_isunity</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:af9cf51971cc8f573c7344558d1339789"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to unity. <a href="#af9cf51971cc8f573c7344558d1339789">More...</a><br /></td></tr>
<tr class="separator:af9cf51971cc8f573c7344558d1339789"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aac0ad2e15f4cc8f49f83e601ab5f671f"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#aac0ad2e15f4cc8f49f83e601ab5f671f">FP4_BLS381_equals</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y)</td></tr>
<tr class="memdesc:aac0ad2e15f4cc8f49f83e601ab5f671f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP4s. <a href="#aac0ad2e15f4cc8f49f83e601ab5f671f">More...</a><br /></td></tr>
<tr class="separator:aac0ad2e15f4cc8f49f83e601ab5f671f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa662afe5c788246962d2c96755dd3c1d"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#aa662afe5c788246962d2c96755dd3c1d">FP4_BLS381_isreal</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:aa662afe5c788246962d2c96755dd3c1d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 having only a real part and no imaginary part. <a href="#aa662afe5c788246962d2c96755dd3c1d">More...</a><br /></td></tr>
<tr class="separator:aa662afe5c788246962d2c96755dd3c1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af5d76817be2ee127e046e643f39b6a75"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#af5d76817be2ee127e046e643f39b6a75">FP4_BLS381_from_FP2s</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *a, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *b)</td></tr>
<tr class="memdesc:af5d76817be2ee127e046e643f39b6a75"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from two FP2s. <a href="#af5d76817be2ee127e046e643f39b6a75">More...</a><br /></td></tr>
<tr class="separator:af5d76817be2ee127e046e643f39b6a75"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4daafa3cb6a391dfcb5f41820afa9c7a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a4daafa3cb6a391dfcb5f41820afa9c7a">FP4_BLS381_from_FP2</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *a)</td></tr>
<tr class="memdesc:a4daafa3cb6a391dfcb5f41820afa9c7a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#a4daafa3cb6a391dfcb5f41820afa9c7a">More...</a><br /></td></tr>
<tr class="separator:a4daafa3cb6a391dfcb5f41820afa9c7a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a742271ef2bb176f6497e902f07052025"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a742271ef2bb176f6497e902f07052025">FP4_BLS381_from_FP2H</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *a)</td></tr>
<tr class="memdesc:a742271ef2bb176f6497e902f07052025"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#a742271ef2bb176f6497e902f07052025">More...</a><br /></td></tr>
<tr class="separator:a742271ef2bb176f6497e902f07052025"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a70c4281ed16fcad78ee7e0b3fb2f6bf9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a70c4281ed16fcad78ee7e0b3fb2f6bf9">FP4_BLS381_copy</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y)</td></tr>
<tr class="memdesc:a70c4281ed16fcad78ee7e0b3fb2f6bf9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP4 to another FP4. <a href="#a70c4281ed16fcad78ee7e0b3fb2f6bf9">More...</a><br /></td></tr>
<tr class="separator:a70c4281ed16fcad78ee7e0b3fb2f6bf9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4b786b60ed5079d3adc5e0b5133d6517"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a4b786b60ed5079d3adc5e0b5133d6517">FP4_BLS381_zero</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a4b786b60ed5079d3adc5e0b5133d6517"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to zero. <a href="#a4b786b60ed5079d3adc5e0b5133d6517">More...</a><br /></td></tr>
<tr class="separator:a4b786b60ed5079d3adc5e0b5133d6517"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab50beba776de6e348b054362008d4728"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#ab50beba776de6e348b054362008d4728">FP4_BLS381_one</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:ab50beba776de6e348b054362008d4728"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to unity. <a href="#ab50beba776de6e348b054362008d4728">More...</a><br /></td></tr>
<tr class="separator:ab50beba776de6e348b054362008d4728"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2946cee8c062bd7380d7d8c7747bb9be"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a2946cee8c062bd7380d7d8c7747bb9be">FP4_BLS381_neg</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y)</td></tr>
<tr class="memdesc:a2946cee8c062bd7380d7d8c7747bb9be"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP4. <a href="#a2946cee8c062bd7380d7d8c7747bb9be">More...</a><br /></td></tr>
<tr class="separator:a2946cee8c062bd7380d7d8c7747bb9be"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae493deeb5cec8fb062bd7151df22236f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#ae493deeb5cec8fb062bd7151df22236f">FP4_BLS381_conj</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y)</td></tr>
<tr class="memdesc:ae493deeb5cec8fb062bd7151df22236f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP4. <a href="#ae493deeb5cec8fb062bd7151df22236f">More...</a><br /></td></tr>
<tr class="separator:ae493deeb5cec8fb062bd7151df22236f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8e5b68257df8c729f8c1d6b96ef23592"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a8e5b68257df8c729f8c1d6b96ef23592">FP4_BLS381_nconj</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y)</td></tr>
<tr class="memdesc:a8e5b68257df8c729f8c1d6b96ef23592"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negative conjugation of FP4. <a href="#a8e5b68257df8c729f8c1d6b96ef23592">More...</a><br /></td></tr>
<tr class="separator:a8e5b68257df8c729f8c1d6b96ef23592"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a707b4c9c640bd8a4e88dfc4c808c9a2c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a707b4c9c640bd8a4e88dfc4c808c9a2c">FP4_BLS381_add</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *z)</td></tr>
<tr class="memdesc:a707b4c9c640bd8a4e88dfc4c808c9a2c"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP4s <a href="#a707b4c9c640bd8a4e88dfc4c808c9a2c">More...</a><br /></td></tr>
<tr class="separator:a707b4c9c640bd8a4e88dfc4c808c9a2c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa0923c97b9168620ba93e4f242a889a5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#aa0923c97b9168620ba93e4f242a889a5">FP4_BLS381_sub</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *z)</td></tr>
<tr class="memdesc:aa0923c97b9168620ba93e4f242a889a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP4s <a href="#aa0923c97b9168620ba93e4f242a889a5">More...</a><br /></td></tr>
<tr class="separator:aa0923c97b9168620ba93e4f242a889a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae7dd9851711144d355178b3d48fc67ad"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#ae7dd9851711144d355178b3d48fc67ad">FP4_BLS381_pmul</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *a)</td></tr>
<tr class="memdesc:ae7dd9851711144d355178b3d48fc67ad"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP2. <a href="#ae7dd9851711144d355178b3d48fc67ad">More...</a><br /></td></tr>
<tr class="separator:ae7dd9851711144d355178b3d48fc67ad"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aae7d3c9887889f5f575fe9af27f0f94c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#aae7d3c9887889f5f575fe9af27f0f94c">FP4_BLS381_qmul</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y, <a class="el" href="structFP__BLS381.html">FP_BLS381</a> *a)</td></tr>
<tr class="memdesc:aae7d3c9887889f5f575fe9af27f0f94c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP. <a href="#aae7d3c9887889f5f575fe9af27f0f94c">More...</a><br /></td></tr>
<tr class="separator:aae7d3c9887889f5f575fe9af27f0f94c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8def6afdc8a243542cb59343663e6628"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a8def6afdc8a243542cb59343663e6628">FP4_BLS381_imul</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y, int i)</td></tr>
<tr class="memdesc:a8def6afdc8a243542cb59343663e6628"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by a small integer. <a href="#a8def6afdc8a243542cb59343663e6628">More...</a><br /></td></tr>
<tr class="separator:a8def6afdc8a243542cb59343663e6628"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a333363f97cf7558d6f0ec3524458c27b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a333363f97cf7558d6f0ec3524458c27b">FP4_BLS381_sqr</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y)</td></tr>
<tr class="memdesc:a333363f97cf7558d6f0ec3524458c27b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP4. <a href="#a333363f97cf7558d6f0ec3524458c27b">More...</a><br /></td></tr>
<tr class="separator:a333363f97cf7558d6f0ec3524458c27b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a99d5aeda5071fc021fd04929ffc2a46c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a99d5aeda5071fc021fd04929ffc2a46c">FP4_BLS381_mul</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *z)</td></tr>
<tr class="memdesc:a99d5aeda5071fc021fd04929ffc2a46c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP4s. <a href="#a99d5aeda5071fc021fd04929ffc2a46c">More...</a><br /></td></tr>
<tr class="separator:a99d5aeda5071fc021fd04929ffc2a46c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8fc2b9f1287b263ef7a67ec45b9492eb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a8fc2b9f1287b263ef7a67ec45b9492eb">FP4_BLS381_inv</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y)</td></tr>
<tr class="memdesc:a8fc2b9f1287b263ef7a67ec45b9492eb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP4. <a href="#a8fc2b9f1287b263ef7a67ec45b9492eb">More...</a><br /></td></tr>
<tr class="separator:a8fc2b9f1287b263ef7a67ec45b9492eb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5a0bfd56e0ebe0550f6246c8d595d29b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a5a0bfd56e0ebe0550f6246c8d595d29b">FP4_BLS381_output</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a5a0bfd56e0ebe0550f6246c8d595d29b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console. <a href="#a5a0bfd56e0ebe0550f6246c8d595d29b">More...</a><br /></td></tr>
<tr class="separator:a5a0bfd56e0ebe0550f6246c8d595d29b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9d2481ac152e700d040a534c81ce131d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a9d2481ac152e700d040a534c81ce131d">FP4_BLS381_rawoutput</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a9d2481ac152e700d040a534c81ce131d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console in raw form (for debugging) <a href="#a9d2481ac152e700d040a534c81ce131d">More...</a><br /></td></tr>
<tr class="separator:a9d2481ac152e700d040a534c81ce131d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a20d505b5f92360e5237b129c9eb7a9cb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a20d505b5f92360e5237b129c9eb7a9cb">FP4_BLS381_times_i</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a20d505b5f92360e5237b129c9eb7a9cb"><td class="mdescLeft">&#160;</td><td class="mdescRight">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) <a href="#a20d505b5f92360e5237b129c9eb7a9cb">More...</a><br /></td></tr>
<tr class="separator:a20d505b5f92360e5237b129c9eb7a9cb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4a821f4a2406ef5919090263d36ca176"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a4a821f4a2406ef5919090263d36ca176">FP4_BLS381_norm</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a4a821f4a2406ef5919090263d36ca176"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP4. <a href="#a4a821f4a2406ef5919090263d36ca176">More...</a><br /></td></tr>
<tr class="separator:a4a821f4a2406ef5919090263d36ca176"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2dcdfcc87f2f05e7ddb3430a49608da1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a2dcdfcc87f2f05e7ddb3430a49608da1">FP4_BLS381_reduce</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a2dcdfcc87f2f05e7ddb3430a49608da1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP4 mod Modulus. <a href="#a2dcdfcc87f2f05e7ddb3430a49608da1">More...</a><br /></td></tr>
<tr class="separator:a2dcdfcc87f2f05e7ddb3430a49608da1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af06473736ed6b470cee82b8ae152846b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#af06473736ed6b470cee82b8ae152846b">FP4_BLS381_pow</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> b)</td></tr>
<tr class="memdesc:af06473736ed6b470cee82b8ae152846b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of a BIG. <a href="#af06473736ed6b470cee82b8ae152846b">More...</a><br /></td></tr>
<tr class="separator:af06473736ed6b470cee82b8ae152846b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac0f5e5bc27525249478b9fc45a049f90"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#ac0f5e5bc27525249478b9fc45a049f90">FP4_BLS381_frob</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *f)</td></tr>
<tr class="memdesc:ac0f5e5bc27525249478b9fc45a049f90"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of the internal modulus p, using the Frobenius. <a href="#ac0f5e5bc27525249478b9fc45a049f90">More...</a><br /></td></tr>
<tr class="separator:ac0f5e5bc27525249478b9fc45a049f90"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a231fabac382ff8bb90773fa86a1d5ace"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a231fabac382ff8bb90773fa86a1d5ace">FP4_BLS381_xtr_A</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *r, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *w, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *z)</td></tr>
<tr class="memdesc:a231fabac382ff8bb90773fa86a1d5ace"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR addition function r=w*x-conj(x)*y+z. <a href="#a231fabac382ff8bb90773fa86a1d5ace">More...</a><br /></td></tr>
<tr class="separator:a231fabac382ff8bb90773fa86a1d5ace"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a05b0df476b4be3442432332a5865bbd8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a05b0df476b4be3442432332a5865bbd8">FP4_BLS381_xtr_D</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *r, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a05b0df476b4be3442432332a5865bbd8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR doubling function r=x^2-2*conj(x) <a href="#a05b0df476b4be3442432332a5865bbd8">More...</a><br /></td></tr>
<tr class="separator:a05b0df476b4be3442432332a5865bbd8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6a586dd443c97009bd1a98a30cadc4ae"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a6a586dd443c97009bd1a98a30cadc4ae">FP4_BLS381_xtr_pow</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *r, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> b)</td></tr>
<tr class="memdesc:a6a586dd443c97009bd1a98a30cadc4ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of an FP12 raised to the power of a BIG number. <a href="#a6a586dd443c97009bd1a98a30cadc4ae">More...</a><br /></td></tr>
<tr class="separator:a6a586dd443c97009bd1a98a30cadc4ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abeddca18c79d425fd681a93b63a20186"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#abeddca18c79d425fd681a93b63a20186">FP4_BLS381_xtr_pow2</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *r, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *c, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *d, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *e, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *f, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> a, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> b)</td></tr>
<tr class="memdesc:abeddca18c79d425fd681a93b63a20186"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of c^a.d^b, where c and d are derived from FP4 traces of FP12s. <a href="#abeddca18c79d425fd681a93b63a20186">More...</a><br /></td></tr>
<tr class="separator:abeddca18c79d425fd681a93b63a20186"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae62020709f74c67526d4f06856f17ced"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#ae62020709f74c67526d4f06856f17ced">FP4_BLS381_cmove</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y, int s)</td></tr>
<tr class="memdesc:ae62020709f74c67526d4f06856f17ced"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP4 number. <a href="#ae62020709f74c67526d4f06856f17ced">More...</a><br /></td></tr>
<tr class="separator:ae62020709f74c67526d4f06856f17ced"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a53b81fdb390a6058ddd042cc0c448d9c"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a53b81fdb390a6058ddd042cc0c448d9c">FP4_BLS381_sqrt</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *r, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a53b81fdb390a6058ddd042cc0c448d9c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate square root of an FP4. <a href="#a53b81fdb390a6058ddd042cc0c448d9c">More...</a><br /></td></tr>
<tr class="separator:a53b81fdb390a6058ddd042cc0c448d9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5c264ea7b67e3ea964563eada37fc3ae"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a5c264ea7b67e3ea964563eada37fc3ae">FP4_BLS381_div_i</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a5c264ea7b67e3ea964563eada37fc3ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide FP4 number by QNR. <a href="#a5c264ea7b67e3ea964563eada37fc3ae">More...</a><br /></td></tr>
<tr class="separator:a5c264ea7b67e3ea964563eada37fc3ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a42f96c4b1ae9a9f6a4e0268e232e8048"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a42f96c4b1ae9a9f6a4e0268e232e8048">FP4_BLS381_div_2i</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x)</td></tr>
<tr class="memdesc:a42f96c4b1ae9a9f6a4e0268e232e8048"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by QNR/2. <a href="#a42f96c4b1ae9a9f6a4e0268e232e8048">More...</a><br /></td></tr>
<tr class="separator:a42f96c4b1ae9a9f6a4e0268e232e8048"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a190b8a55edc215fc6dfb211f8d88face"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS381_8h.html#a190b8a55edc215fc6dfb211f8d88face">FP4_BLS381_div2</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *y)</td></tr>
<tr class="memdesc:a190b8a55edc215fc6dfb211f8d88face"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by 2. <a href="#a190b8a55edc215fc6dfb211f8d88face">More...</a><br /></td></tr>
<tr class="separator:a190b8a55edc215fc6dfb211f8d88face"><td class="memSeparator" colspan="2">&#160;</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="a707b4c9c640bd8a4e88dfc4c808c9a2c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a707b4c9c640bd8a4e88dfc4c808c9a2c">&#9670;&nbsp;</a></span>FP4_BLS381_add()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</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">x</td><td>FP4 instance, on exit = y+z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae62020709f74c67526d4f06856f17ced"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae62020709f74c67526d4f06856f17ced">&#9670;&nbsp;</a></span>FP4_BLS381_cmove()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Conditionally copies second parameter to the first (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, set to y if s!=0 </td></tr>
<tr><td class="paramname">y</td><td>another FP4 instance </td></tr>
<tr><td class="paramname">s</td><td>copy only takes place if not equal to 0 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae493deeb5cec8fb062bd7151df22236f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae493deeb5cec8fb062bd7151df22236f">&#9670;&nbsp;</a></span>FP4_BLS381_conj()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If y=(a,b) on exit x=(a,-b) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a70c4281ed16fcad78ee7e0b3fb2f6bf9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a70c4281ed16fcad78ee7e0b3fb2f6bf9">&#9670;&nbsp;</a></span>FP4_BLS381_copy()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</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">x</td><td>FP4 instance, on exit = y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance to be copied </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a190b8a55edc215fc6dfb211f8d88face"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a190b8a55edc215fc6dfb211f8d88face">&#9670;&nbsp;</a></span>FP4_BLS381_div2()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</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">x</td><td>FP4 instance, on exit = y/2 </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a42f96c4b1ae9a9f6a4e0268e232e8048"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a42f96c4b1ae9a9f6a4e0268e232e8048">&#9670;&nbsp;</a></span>FP4_BLS381_div_2i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_div_2i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Divide FP4 by the QNR/2 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a5c264ea7b67e3ea964563eada37fc3ae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5c264ea7b67e3ea964563eada37fc3ae">&#9670;&nbsp;</a></span>FP4_BLS381_div_i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_div_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Divide FP4 by the QNR </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aac0ad2e15f4cc8f49f83e601ab5f671f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aac0ad2e15f4cc8f49f83e601ab5f671f">&#9670;&nbsp;</a></span>FP4_BLS381_equals()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS381_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</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">x</td><td>FP4 instance to be compared </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance to be compared </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if x=y, else returns 0 </dd></dl>
</div>
</div>
<a id="ac0f5e5bc27525249478b9fc45a049f90"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac0f5e5bc27525249478b9fc45a049f90">&#9670;&nbsp;</a></span>FP4_BLS381_frob()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>f</em>&#160;</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">x</td><td>FP4 instance, on exit = x^p </td></tr>
<tr><td class="paramname">f</td><td>FP2 precalculated Frobenius constant </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4daafa3cb6a391dfcb5f41820afa9c7a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4daafa3cb6a391dfcb5f41820afa9c7a">&#9670;&nbsp;</a></span>FP4_BLS381_from_FP2()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_from_FP2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Imaginary part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a742271ef2bb176f6497e902f07052025"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a742271ef2bb176f6497e902f07052025">&#9670;&nbsp;</a></span>FP4_BLS381_from_FP2H()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_from_FP2H </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>real part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form imaginary part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af5d76817be2ee127e046e643f39b6a75"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af5d76817be2ee127e046e643f39b6a75">&#9670;&nbsp;</a></span>FP4_BLS381_from_FP2s()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_from_FP2s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>b</em>&#160;</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">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr>
<tr><td class="paramname">b</td><td>FP2 to form imaginary part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8def6afdc8a243542cb59343663e6628"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8def6afdc8a243542cb59343663e6628">&#9670;&nbsp;</a></span>FP4_BLS381_imul()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>i</em>&#160;</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">x</td><td>FP4 instance, on exit = y*i </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">i</td><td>an integer </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8fc2b9f1287b263ef7a67ec45b9492eb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8fc2b9f1287b263ef7a67ec45b9492eb">&#9670;&nbsp;</a></span>FP4_BLS381_inv()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</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">x</td><td>FP4 instance, on exit = 1/y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa662afe5c788246962d2c96755dd3c1d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa662afe5c788246962d2c96755dd3c1d">&#9670;&nbsp;</a></span>FP4_BLS381_isreal()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS381_isreal </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if real, else returns 0 </dd></dl>
</div>
</div>
<a id="af9cf51971cc8f573c7344558d1339789"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af9cf51971cc8f573c7344558d1339789">&#9670;&nbsp;</a></span>FP4_BLS381_isunity()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS381_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if unity, else returns 0 </dd></dl>
</div>
</div>
<a id="aa51157714a2a0e4a5c50e64cd504fe46"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa51157714a2a0e4a5c50e64cd504fe46">&#9670;&nbsp;</a></span>FP4_BLS381_iszilch()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS381_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if zero, else returns 0 </dd></dl>
</div>
</div>
<a id="a99d5aeda5071fc021fd04929ffc2a46c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a99d5aeda5071fc021fd04929ffc2a46c">&#9670;&nbsp;</a></span>FP4_BLS381_mul()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</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">x</td><td>FP4 instance, on exit = y*z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8e5b68257df8c729f8c1d6b96ef23592"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8e5b68257df8c729f8c1d6b96ef23592">&#9670;&nbsp;</a></span>FP4_BLS381_nconj()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_nconj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If y=(a,b) on exit x=(-a,b) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = -conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a2946cee8c062bd7380d7d8c7747bb9be"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2946cee8c062bd7380d7d8c7747bb9be">&#9670;&nbsp;</a></span>FP4_BLS381_neg()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</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">x</td><td>FP4 instance, on exit = -y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4a821f4a2406ef5919090263d36ca176"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4a821f4a2406ef5919090263d36ca176">&#9670;&nbsp;</a></span>FP4_BLS381_norm()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 instance to be normalised </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ab50beba776de6e348b054362008d4728"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab50beba776de6e348b054362008d4728">&#9670;&nbsp;</a></span>FP4_BLS381_one()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 instance to be set to one </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a5a0bfd56e0ebe0550f6246c8d595d29b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5a0bfd56e0ebe0550f6246c8d595d29b">&#9670;&nbsp;</a></span>FP4_BLS381_output()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae7dd9851711144d355178b3d48fc67ad"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae7dd9851711144d355178b3d48fc67ad">&#9670;&nbsp;</a></span>FP4_BLS381_pmul()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</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">x</td><td>FP4 instance, on exit = y*a </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">a</td><td>FP2 multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af06473736ed6b470cee82b8ae152846b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af06473736ed6b470cee82b8ae152846b">&#9670;&nbsp;</a></span>FP4_BLS381_pow()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</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">x</td><td>FP4 instance, on exit = y^b </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aae7d3c9887889f5f575fe9af27f0f94c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aae7d3c9887889f5f575fe9af27f0f94c">&#9670;&nbsp;</a></span>FP4_BLS381_qmul()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_qmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__BLS381.html">FP_BLS381</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</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">x</td><td>FP4 instance, on exit = y*a </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">a</td><td>FP multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a9d2481ac152e700d040a534c81ce131d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9d2481ac152e700d040a534c81ce131d">&#9670;&nbsp;</a></span>FP4_BLS381_rawoutput()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a2dcdfcc87f2f05e7ddb3430a49608da1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2dcdfcc87f2f05e7ddb3430a49608da1">&#9670;&nbsp;</a></span>FP4_BLS381_reduce()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 instance, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a333363f97cf7558d6f0ec3524458c27b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a333363f97cf7558d6f0ec3524458c27b">&#9670;&nbsp;</a></span>FP4_BLS381_sqr()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</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">x</td><td>FP4 instance, on exit = y^2 </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a53b81fdb390a6058ddd042cc0c448d9c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a53b81fdb390a6058ddd042cc0c448d9c">&#9670;&nbsp;</a></span>FP4_BLS381_sqrt()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS381_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Square root </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = sqrt(x) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 x is a QR, otherwise 0 </dd></dl>
</div>
</div>
<a id="aa0923c97b9168620ba93e4f242a889a5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa0923c97b9168620ba93e4f242a889a5">&#9670;&nbsp;</a></span>FP4_BLS381_sub()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</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">x</td><td>FP4 instance, on exit = y-z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a20d505b5f92360e5237b129c9eb7a9cb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a20d505b5f92360e5237b129c9eb7a9cb">&#9670;&nbsp;</a></span>FP4_BLS381_times_i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 instance, on exit = sqrt(1+sqrt(-1)*x </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a231fabac382ff8bb90773fa86a1d5ace"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a231fabac382ff8bb90773fa86a1d5ace">&#9670;&nbsp;</a></span>FP4_BLS381_xtr_A()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_xtr_A </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>w</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</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>FP4 instance, on exit = w*x-conj(x)*y+z </td></tr>
<tr><td class="paramname">w</td><td>FP4 instance </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a05b0df476b4be3442432332a5865bbd8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a05b0df476b4be3442432332a5865bbd8">&#9670;&nbsp;</a></span>FP4_BLS381_xtr_D()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_xtr_D </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</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>FP4 instance, on exit = x^2-2*conj(x) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a6a586dd443c97009bd1a98a30cadc4ae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6a586dd443c97009bd1a98a30cadc4ae">&#9670;&nbsp;</a></span>FP4_BLS381_xtr_pow()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_xtr_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>XTR single exponentiation </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(w^b) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance, trace of an FP12 w </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="abeddca18c79d425fd681a93b63a20186"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abeddca18c79d425fd681a93b63a20186">&#9670;&nbsp;</a></span>FP4_BLS381_xtr_pow2()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_xtr_pow2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>c</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>d</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>e</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>f</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>XTR double exponentiation Assumes c=tr(x^m), d=tr(x^n), e=tr(x^(m-n)), f=tr(x^(m-2n)) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(c^a.d^b) </td></tr>
<tr><td class="paramname">c</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">d</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">e</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">f</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">a</td><td>BIG number </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4b786b60ed5079d3adc5e0b5133d6517"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4b786b60ed5079d3adc5e0b5133d6517">&#9670;&nbsp;</a></span>FP4_BLS381_zero()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS381_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *&#160;</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>FP4 instance to be set to zero </td></tr>
</table>
</dd>
</dl>
</div>
</div>
</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>