doc/html/fq12_8h.html - platform/external/epid-sdk - Git at Google

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 <div class="title">fq12.h File Reference</div>  </div>
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 <p>Definition of Fq12 math.
 <a href="#details">More...</a></p>
 <div class="textblock"><code>#include &lt;stdint.h&gt;</code><br />
 </div><table class="memberdecls">
 <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
 Functions</h2></td></tr>
 <tr class="memitem:aa4a17bfa56644ab615c60bd7ec900821"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#aa4a17bfa56644ab615c60bd7ec900821">Fq12Add</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *left, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *right)</td></tr>
 <tr class="memdesc:aa4a17bfa56644ab615c60bd7ec900821"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add two elements of Fq12.  <a href="#aa4a17bfa56644ab615c60bd7ec900821">More...</a><br /></td></tr>
 <tr class="separator:aa4a17bfa56644ab615c60bd7ec900821"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:a80c3da69a0991423a728e9b74a2dfe15"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#a80c3da69a0991423a728e9b74a2dfe15">Fq12Sub</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *left, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *right)</td></tr>
 <tr class="memdesc:a80c3da69a0991423a728e9b74a2dfe15"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtract two elements of Fq12.  <a href="#a80c3da69a0991423a728e9b74a2dfe15">More...</a><br /></td></tr>
 <tr class="separator:a80c3da69a0991423a728e9b74a2dfe15"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:a12e88a0bbfcc24b1863754f5e027d28e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#a12e88a0bbfcc24b1863754f5e027d28e">Fq12Square</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *in)</td></tr>
 <tr class="memdesc:a12e88a0bbfcc24b1863754f5e027d28e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Square an element of Fq12.  <a href="#a12e88a0bbfcc24b1863754f5e027d28e">More...</a><br /></td></tr>
 <tr class="separator:a12e88a0bbfcc24b1863754f5e027d28e"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:aec7e0ce55e01ab48c0c6315cb9e5b47d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#aec7e0ce55e01ab48c0c6315cb9e5b47d">Fq12Mul</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *left, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *right)</td></tr>
 <tr class="memdesc:aec7e0ce55e01ab48c0c6315cb9e5b47d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply two elements of Fq12.  <a href="#aec7e0ce55e01ab48c0c6315cb9e5b47d">More...</a><br /></td></tr>
 <tr class="separator:aec7e0ce55e01ab48c0c6315cb9e5b47d"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:afd089e0cb6e4ec68a3a3062f26d4430d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#afd089e0cb6e4ec68a3a3062f26d4430d">Fq12Inv</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *in)</td></tr>
 <tr class="memdesc:afd089e0cb6e4ec68a3a3062f26d4430d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Invert an element of Fq12.  <a href="#afd089e0cb6e4ec68a3a3062f26d4430d">More...</a><br /></td></tr>
 <tr class="separator:afd089e0cb6e4ec68a3a3062f26d4430d"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:af3fd9055d559c592eb5715bb261c072b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#af3fd9055d559c592eb5715bb261c072b">Fq12Neg</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *in)</td></tr>
 <tr class="memdesc:af3fd9055d559c592eb5715bb261c072b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negate an element of Fq12.  <a href="#af3fd9055d559c592eb5715bb261c072b">More...</a><br /></td></tr>
 <tr class="separator:af3fd9055d559c592eb5715bb261c072b"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:acd16f86f83021d44d25389ad9f701597"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#acd16f86f83021d44d25389ad9f701597">Fq12Set</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, uint32_t val)</td></tr>
 <tr class="memdesc:acd16f86f83021d44d25389ad9f701597"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set an element's value.  <a href="#acd16f86f83021d44d25389ad9f701597">More...</a><br /></td></tr>
 <tr class="separator:acd16f86f83021d44d25389ad9f701597"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:a3bf52e5b01103632fa429927e5a07b1d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#a3bf52e5b01103632fa429927e5a07b1d">Fq12Exp</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *base, <a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *exp)</td></tr>
 <tr class="memdesc:a3bf52e5b01103632fa429927e5a07b1d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Exponentiate an element of Fq12 by a large integer.  <a href="#a3bf52e5b01103632fa429927e5a07b1d">More...</a><br /></td></tr>
 <tr class="separator:a3bf52e5b01103632fa429927e5a07b1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:ae88eb95c37c9db2e37e14d8a9304fadd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#ae88eb95c37c9db2e37e14d8a9304fadd">Fq12MultiExp</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *base0, <a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *exp0, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *base1, <a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *exp1, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *base2, <a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *exp2, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *base3, <a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *exp3)</td></tr>
 <tr class="memdesc:ae88eb95c37c9db2e37e14d8a9304fadd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply of exponentiation of elements of Fq12 by a large integers.  <a href="#ae88eb95c37c9db2e37e14d8a9304fadd">More...</a><br /></td></tr>
 <tr class="separator:ae88eb95c37c9db2e37e14d8a9304fadd"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:a08b50a1f5fe19c78a19f1f4a457b9a39"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#a08b50a1f5fe19c78a19f1f4a457b9a39">Fq12Eq</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *left, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *right)</td></tr>
 <tr class="memdesc:a08b50a1f5fe19c78a19f1f4a457b9a39"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test if two elements in Fq12 are equal.  <a href="#a08b50a1f5fe19c78a19f1f4a457b9a39">More...</a><br /></td></tr>
 <tr class="separator:a08b50a1f5fe19c78a19f1f4a457b9a39"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:a33a3bb0f378ac008cde38b88a39ea79c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#a33a3bb0f378ac008cde38b88a39ea79c">Fq12Conj</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *in)</td></tr>
 <tr class="memdesc:a33a3bb0f378ac008cde38b88a39ea79c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the conjugate of an element of Fq2.  <a href="#a33a3bb0f378ac008cde38b88a39ea79c">More...</a><br /></td></tr>
 <tr class="separator:a33a3bb0f378ac008cde38b88a39ea79c"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:a65ad8c0f4aa0859593aab885066c5025"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#a65ad8c0f4aa0859593aab885066c5025">Fq12ExpCyc</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *in, <a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *t)</td></tr>
 <tr class="memdesc:a65ad8c0f4aa0859593aab885066c5025"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the cyclotomic exponentiation of an element of Fq12 by another element of Fq12.  <a href="#a65ad8c0f4aa0859593aab885066c5025">More...</a><br /></td></tr>
 <tr class="separator:a65ad8c0f4aa0859593aab885066c5025"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:a1ad8710126bb4906d6170dd8ab30e43a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#a1ad8710126bb4906d6170dd8ab30e43a">Fq12SqCyc</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *in)</td></tr>
 <tr class="memdesc:a1ad8710126bb4906d6170dd8ab30e43a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the cyclotomic square of an element of fq12.  <a href="#a1ad8710126bb4906d6170dd8ab30e43a">More...</a><br /></td></tr>
 <tr class="separator:a1ad8710126bb4906d6170dd8ab30e43a"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:ac1b44bbceb1c648b2b880871c8b52195"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#ac1b44bbceb1c648b2b880871c8b52195">Fq12MulSpecial</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *left, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *right)</td></tr>
 <tr class="memdesc:ac1b44bbceb1c648b2b880871c8b52195"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply two elements of Fq12.  <a href="#ac1b44bbceb1c648b2b880871c8b52195">More...</a><br /></td></tr>
 <tr class="separator:ac1b44bbceb1c648b2b880871c8b52195"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:ad739d6a59a3f7ed0c0117c7486d06290"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#ad739d6a59a3f7ed0c0117c7486d06290">Fq12Cp</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result, <a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *in)</td></tr>
 <tr class="memdesc:ad739d6a59a3f7ed0c0117c7486d06290"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy an element's value.  <a href="#ad739d6a59a3f7ed0c0117c7486d06290">More...</a><br /></td></tr>
 <tr class="separator:ad739d6a59a3f7ed0c0117c7486d06290"><td class="memSeparator" colspan="2">&#160;</td></tr>
 <tr class="memitem:aaeb34cf6f4d176674fc300d7e7fc57f1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fq12_8h.html#aaeb34cf6f4d176674fc300d7e7fc57f1">Fq12Clear</a> (<a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *result)</td></tr>
 <tr class="memdesc:aaeb34cf6f4d176674fc300d7e7fc57f1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clear an element's value.  <a href="#aaeb34cf6f4d176674fc300d7e7fc57f1">More...</a><br /></td></tr>
 <tr class="separator:aaeb34cf6f4d176674fc300d7e7fc57f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
 </table>
 <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
 <div class="textblock"><p>Definition of Fq12 math. </p>
 </div><h2 class="groupheader">Function Documentation</h2>
 <a id="aa4a17bfa56644ab615c60bd7ec900821"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#aa4a17bfa56644ab615c60bd7ec900821">&#9670;&nbsp;</a></span>Fq12Add()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Add </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>left</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>right</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Add two elements of Fq12. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>of adding left and right. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be added. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be added. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="aaeb34cf6f4d176674fc300d7e7fc57f1"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#aaeb34cf6f4d176674fc300d7e7fc57f1">&#9670;&nbsp;</a></span>Fq12Clear()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Clear </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em></td><td>)</td>
           <td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Clear an element's value. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>element to clear. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="a33a3bb0f378ac008cde38b88a39ea79c"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#a33a3bb0f378ac008cde38b88a39ea79c">&#9670;&nbsp;</a></span>Fq12Conj()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Conj </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>in</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Calculate the conjugate of an element of Fq2. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>the conjugate of the element. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the element. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="ad739d6a59a3f7ed0c0117c7486d06290"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#ad739d6a59a3f7ed0c0117c7486d06290">&#9670;&nbsp;</a></span>Fq12Cp()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Cp </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>in</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Copy an element's value. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>copy target. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>copy source. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="a08b50a1f5fe19c78a19f1f4a457b9a39"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#a08b50a1f5fe19c78a19f1f4a457b9a39">&#9670;&nbsp;</a></span>Fq12Eq()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">int Fq12Eq </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>left</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>right</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Test if two elements in Fq12 are equal. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be tested. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be tested. </td></tr>
   </table>
   </dd>
 </dl>
 <dl class="section return"><dt>Returns</dt><dd>A value different from zero (i.e., true) if indeed the values are equal. Zero (i.e., false) otherwise. </dd></dl>

 </div>
 </div>
 <a id="a3bf52e5b01103632fa429927e5a07b1d"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#a3bf52e5b01103632fa429927e5a07b1d">&#9670;&nbsp;</a></span>Fq12Exp()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Exp </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>base</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *&#160;</td>
           <td class="paramname"><em>exp</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Exponentiate an element of Fq12 by a large integer. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>target. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">base</td><td>the base. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">exp</td><td>the exponent. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="a65ad8c0f4aa0859593aab885066c5025"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#a65ad8c0f4aa0859593aab885066c5025">&#9670;&nbsp;</a></span>Fq12ExpCyc()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12ExpCyc </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>in</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *&#160;</td>
           <td class="paramname"><em>t</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Calculate the cyclotomic exponentiation of an element of Fq12 by another element of Fq12. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[in,out]</td><td class="paramname">result</td><td>the base of the exponentiation. This will receive the result. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the exponent. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">t</td><td>pairing parameter t </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="afd089e0cb6e4ec68a3a3062f26d4430d"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#afd089e0cb6e4ec68a3a3062f26d4430d">&#9670;&nbsp;</a></span>Fq12Inv()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Inv </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>in</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Invert an element of Fq12. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>the inverse of the element. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the element to invert. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="aec7e0ce55e01ab48c0c6315cb9e5b47d"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#aec7e0ce55e01ab48c0c6315cb9e5b47d">&#9670;&nbsp;</a></span>Fq12Mul()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Mul </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>left</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>right</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Multiply two elements of Fq12. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>of multiplying left and right. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be multiplied. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be multiplied. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="ac1b44bbceb1c648b2b880871c8b52195"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#ac1b44bbceb1c648b2b880871c8b52195">&#9670;&nbsp;</a></span>Fq12MulSpecial()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12MulSpecial </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>left</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>right</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Multiply two elements of Fq12. </p>
 <p>Requires that b[2] = b[4] = b[5] = 0. where right = ((b[0], b[2], b[4]), (b[1], b[3], b[5]))</p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>of multiplying left and right. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be multiplied. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be multiplied. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="ae88eb95c37c9db2e37e14d8a9304fadd"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#ae88eb95c37c9db2e37e14d8a9304fadd">&#9670;&nbsp;</a></span>Fq12MultiExp()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12MultiExp </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>base0</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *&#160;</td>
           <td class="paramname"><em>exp0</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>base1</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *&#160;</td>
           <td class="paramname"><em>exp1</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>base2</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *&#160;</td>
           <td class="paramname"><em>exp2</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>base3</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_very_large_int.html">VeryLargeInt</a> const *&#160;</td>
           <td class="paramname"><em>exp3</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Multiply of exponentiation of elements of Fq12 by a large integers. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>target. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">base0</td><td>the base. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">exp0</td><td>the exponent. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">base1</td><td>the base. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">exp1</td><td>the exponent. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">base2</td><td>the base. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">exp2</td><td>the exponent. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">base3</td><td>the base. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">exp3</td><td>the exponent. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="af3fd9055d559c592eb5715bb261c072b"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#af3fd9055d559c592eb5715bb261c072b">&#9670;&nbsp;</a></span>Fq12Neg()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Neg </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>in</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Negate an element of Fq12. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>the negative of the element. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the element to negate. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="acd16f86f83021d44d25389ad9f701597"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#acd16f86f83021d44d25389ad9f701597">&#9670;&nbsp;</a></span>Fq12Set()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Set </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype">uint32_t&#160;</td>
           <td class="paramname"><em>val</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Set an element's value. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>target. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">val</td><td>value to set. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="a1ad8710126bb4906d6170dd8ab30e43a"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#a1ad8710126bb4906d6170dd8ab30e43a">&#9670;&nbsp;</a></span>Fq12SqCyc()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12SqCyc </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>in</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Calculate the cyclotomic square of an element of fq12. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[in,out]</td><td class="paramname">result</td><td>result of the cyclotomic square. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the base. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="a12e88a0bbfcc24b1863754f5e027d28e"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#a12e88a0bbfcc24b1863754f5e027d28e">&#9670;&nbsp;</a></span>Fq12Square()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Square </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>in</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Square an element of Fq12. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>the square of the element. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the element to square. </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <a id="a80c3da69a0991423a728e9b74a2dfe15"></a>
 <h2 class="memtitle"><span class="permalink"><a href="#a80c3da69a0991423a728e9b74a2dfe15">&#9670;&nbsp;</a></span>Fq12Sub()</h2>

 <div class="memitem">
 <div class="memproto">
       <table class="memname">
         <tr>
           <td class="memname">void Fq12Sub </td>
           <td>(</td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> *&#160;</td>
           <td class="paramname"><em>result</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>left</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype"><a class="el" href="struct_fq12_elem.html">Fq12Elem</a> const *&#160;</td>
           <td class="paramname"><em>right</em>&#160;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td>
         </tr>
       </table>
 </div><div class="memdoc">

 <p>Subtract two elements of Fq12. </p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>of subtracting left from right. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The operand to be subtracted from. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The operand to subtract. </td></tr>
   </table>
   </dd>
 </dl>

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