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<a href="#func-members">Functions</a> &#124;
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<div class="title">pair_FP256BN.h File Reference</div> </div>
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<p>PAIR Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="fp12__FP256BN_8h_source.html">fp12_FP256BN.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="ecp2__FP256BN_8h_source.html">ecp2_FP256BN.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="ecp__FP256BN_8h_source.html">ecp_FP256BN.h</a>&quot;</code><br />
</div>
<p><a href="pair__FP256BN_8h_source.html">Go to the source code of this file.</a></p>
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Functions</h2></td></tr>
<tr class="memitem:aaa9feabbdc3508ce829ab02dca905a5d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#aaa9feabbdc3508ce829ab02dca905a5d">PAIR_FP256BN_another</a> (<a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> r[], <a class="el" href="structECP2__FP256BN.html">ECP2_FP256BN</a> *PV, <a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *QV)</td></tr>
<tr class="memdesc:aaa9feabbdc3508ce829ab02dca905a5d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Precompute line functions for n-pairing. <a href="#aaa9feabbdc3508ce829ab02dca905a5d">More...</a><br /></td></tr>
<tr class="separator:aaa9feabbdc3508ce829ab02dca905a5d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:add714a32016ac9212a74255e47b5e8e1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#add714a32016ac9212a74255e47b5e8e1">PAIR_FP256BN_ate</a> (<a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *r, <a class="el" href="structECP2__FP256BN.html">ECP2_FP256BN</a> *P, <a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *Q)</td></tr>
<tr class="memdesc:add714a32016ac9212a74255e47b5e8e1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Miller loop for Optimal ATE pairing e(P,Q) <a href="#add714a32016ac9212a74255e47b5e8e1">More...</a><br /></td></tr>
<tr class="separator:add714a32016ac9212a74255e47b5e8e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a949e85f7051d0b9b59693174f22548fc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a949e85f7051d0b9b59693174f22548fc">PAIR_FP256BN_double_ate</a> (<a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *r, <a class="el" href="structECP2__FP256BN.html">ECP2_FP256BN</a> *P, <a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *Q, <a class="el" href="structECP2__FP256BN.html">ECP2_FP256BN</a> *R, <a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *S)</td></tr>
<tr class="memdesc:a949e85f7051d0b9b59693174f22548fc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S) <a href="#a949e85f7051d0b9b59693174f22548fc">More...</a><br /></td></tr>
<tr class="separator:a949e85f7051d0b9b59693174f22548fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a08e4a88119f95e6f1659bef17ac79da5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a08e4a88119f95e6f1659bef17ac79da5">PAIR_FP256BN_fexp</a> (<a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a08e4a88119f95e6f1659bef17ac79da5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Final exponentiation of pairing, converts output of Miller loop to element in GT. <a href="#a08e4a88119f95e6f1659bef17ac79da5">More...</a><br /></td></tr>
<tr class="separator:a08e4a88119f95e6f1659bef17ac79da5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab52d15bdaed5eb42fe0ae3fa1cbc201e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#ab52d15bdaed5eb42fe0ae3fa1cbc201e">PAIR_FP256BN_G1mul</a> (<a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *Q, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr>
<tr class="memdesc:ab52d15bdaed5eb42fe0ae3fa1cbc201e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast point multiplication of a member of the group G1 by a BIG number. <a href="#ab52d15bdaed5eb42fe0ae3fa1cbc201e">More...</a><br /></td></tr>
<tr class="separator:ab52d15bdaed5eb42fe0ae3fa1cbc201e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a22e4f8483b9e5ca1c0406e34f4473520"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a22e4f8483b9e5ca1c0406e34f4473520">PAIR_FP256BN_G2mul</a> (<a class="el" href="structECP2__FP256BN.html">ECP2_FP256BN</a> *P, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr>
<tr class="memdesc:a22e4f8483b9e5ca1c0406e34f4473520"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast point multiplication of a member of the group G2 by a BIG number. <a href="#a22e4f8483b9e5ca1c0406e34f4473520">More...</a><br /></td></tr>
<tr class="separator:a22e4f8483b9e5ca1c0406e34f4473520"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a545c2d67667408b3b203e40bc0bfd709"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a545c2d67667408b3b203e40bc0bfd709">PAIR_FP256BN_GTpow</a> (<a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *x, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr>
<tr class="memdesc:a545c2d67667408b3b203e40bc0bfd709"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast raising of a member of GT to a BIG power. <a href="#a545c2d67667408b3b203e40bc0bfd709">More...</a><br /></td></tr>
<tr class="separator:a545c2d67667408b3b203e40bc0bfd709"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afe597680cdc44fee36bb3114c2587017"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#afe597680cdc44fee36bb3114c2587017">PAIR_FP256BN_GTmember</a> (<a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *x)</td></tr>
<tr class="memdesc:afe597680cdc44fee36bb3114c2587017"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests FP12 for membership of GT. <a href="#afe597680cdc44fee36bb3114c2587017">More...</a><br /></td></tr>
<tr class="separator:afe597680cdc44fee36bb3114c2587017"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a340318adeb517e5440659c986101c713"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a340318adeb517e5440659c986101c713">PAIR_FP256BN_nbits</a> (<a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> n3, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> n)</td></tr>
<tr class="memdesc:a340318adeb517e5440659c986101c713"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prepare Ate parameter. <a href="#a340318adeb517e5440659c986101c713">More...</a><br /></td></tr>
<tr class="separator:a340318adeb517e5440659c986101c713"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3c4e82e9bdfb37dc3d2b834f44d03129"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a3c4e82e9bdfb37dc3d2b834f44d03129">PAIR_FP256BN_initmp</a> (<a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> r[])</td></tr>
<tr class="memdesc:a3c4e82e9bdfb37dc3d2b834f44d03129"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise structure for multi-pairing. <a href="#a3c4e82e9bdfb37dc3d2b834f44d03129">More...</a><br /></td></tr>
<tr class="separator:a3c4e82e9bdfb37dc3d2b834f44d03129"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a47cb4a499cef8e07b8c440cd78a43c6d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a47cb4a499cef8e07b8c440cd78a43c6d">PAIR_FP256BN_miller</a> (<a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *res, <a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> r[])</td></tr>
<tr class="memdesc:a47cb4a499cef8e07b8c440cd78a43c6d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Miller loop. <a href="#a47cb4a499cef8e07b8c440cd78a43c6d">More...</a><br /></td></tr>
<tr class="separator:a47cb4a499cef8e07b8c440cd78a43c6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
Variables</h2></td></tr>
<tr class="memitem:a32d6454dbe379414cbf371501bdfa14c"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a32d6454dbe379414cbf371501bdfa14c">CURVE_Bnx_FP256BN</a></td></tr>
<tr class="separator:a32d6454dbe379414cbf371501bdfa14c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1e4a40fa73fb46a0226ee1252b6dd9f3"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a1e4a40fa73fb46a0226ee1252b6dd9f3">CURVE_Cru_FP256BN</a></td></tr>
<tr class="separator:a1e4a40fa73fb46a0226ee1252b6dd9f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4521adc0ede6afae5b82e75cd248484f"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a4521adc0ede6afae5b82e75cd248484f">CURVE_W_FP256BN</a> [2]</td></tr>
<tr class="separator:a4521adc0ede6afae5b82e75cd248484f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a54a2be05e5e394ddd45d2a5b21509182"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a54a2be05e5e394ddd45d2a5b21509182">CURVE_SB_FP256BN</a> [2][2]</td></tr>
<tr class="separator:a54a2be05e5e394ddd45d2a5b21509182"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a78a202e723161e392bf420fb413a293b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a78a202e723161e392bf420fb413a293b">CURVE_WB_FP256BN</a> [4]</td></tr>
<tr class="separator:a78a202e723161e392bf420fb413a293b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a552cc467dca5ee3d00e51754c7d411c6"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP256BN_8h.html#a552cc467dca5ee3d00e51754c7d411c6">CURVE_BB_FP256BN</a> [4][4]</td></tr>
<tr class="separator:a552cc467dca5ee3d00e51754c7d411c6"><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="aaa9feabbdc3508ce829ab02dca905a5d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaa9feabbdc3508ce829ab02dca905a5d">&#9670;&nbsp;</a></span>PAIR_FP256BN_another()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void PAIR_FP256BN_another </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</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="structECP2__FP256BN.html">ECP2_FP256BN</a> *&#160;</td>
<td class="paramname"><em>PV</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *&#160;</td>
<td class="paramname"><em>QV</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>array of precomputed FP12 products of line functions </td></tr>
<tr><td class="paramname">PV</td><td>ECP2 instance, an element of G2 </td></tr>
<tr><td class="paramname">QV</td><td>ECP instance, an element of G1 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="add714a32016ac9212a74255e47b5e8e1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#add714a32016ac9212a74255e47b5e8e1">&#9670;&nbsp;</a></span>PAIR_FP256BN_ate()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void PAIR_FP256BN_ate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</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="structECP2__FP256BN.html">ECP2_FP256BN</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *&#160;</td>
<td class="paramname"><em>Q</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>FP12 result of the pairing calculation e(P,Q) </td></tr>
<tr><td class="paramname">P</td><td>ECP2 instance, an element of G2 </td></tr>
<tr><td class="paramname">Q</td><td>ECP instance, an element of G1 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a949e85f7051d0b9b59693174f22548fc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a949e85f7051d0b9b59693174f22548fc">&#9670;&nbsp;</a></span>PAIR_FP256BN_double_ate()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void PAIR_FP256BN_double_ate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</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="structECP2__FP256BN.html">ECP2_FP256BN</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *&#160;</td>
<td class="paramname"><em>Q</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP2__FP256BN.html">ECP2_FP256BN</a> *&#160;</td>
<td class="paramname"><em>R</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *&#160;</td>
<td class="paramname"><em>S</em>&#160;</td>
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<p>Faster than calculating two separate pairings </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP12 result of the pairing calculation e(P,Q).e(R,S), an element of GT </td></tr>
<tr><td class="paramname">P</td><td>ECP2 instance, an element of G2 </td></tr>
<tr><td class="paramname">Q</td><td>ECP instance, an element of G1 </td></tr>
<tr><td class="paramname">R</td><td>ECP2 instance, an element of G2 </td></tr>
<tr><td class="paramname">S</td><td>ECP instance, an element of G1 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a08e4a88119f95e6f1659bef17ac79da5">&#9670;&nbsp;</a></span>PAIR_FP256BN_fexp()</h2>
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<td class="memname">void PAIR_FP256BN_fexp </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Here p is the internal modulus, and r is the group order </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12, on exit = x^((p^12-1)/r) </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ab52d15bdaed5eb42fe0ae3fa1cbc201e">&#9670;&nbsp;</a></span>PAIR_FP256BN_G1mul()</h2>
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<td class="memname">void PAIR_FP256BN_G1mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__FP256BN.html">ECP_FP256BN</a> *&#160;</td>
<td class="paramname"><em>Q</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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<td>)</td>
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<p>May exploit endomorphism for speed. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">Q</td><td>ECP member of G1. </td></tr>
<tr><td class="paramname">b</td><td>BIG multiplier </td></tr>
</table>
</dd>
</dl>
</div>
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<a id="a22e4f8483b9e5ca1c0406e34f4473520"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a22e4f8483b9e5ca1c0406e34f4473520">&#9670;&nbsp;</a></span>PAIR_FP256BN_G2mul()</h2>
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<td class="memname">void PAIR_FP256BN_G2mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP2__FP256BN.html">ECP2_FP256BN</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
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<p>May exploit endomorphism for speed. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">P</td><td>ECP2 member of G1. </td></tr>
<tr><td class="paramname">b</td><td>BIG multiplier </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#afe597680cdc44fee36bb3114c2587017">&#9670;&nbsp;</a></span>PAIR_FP256BN_GTmember()</h2>
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<td class="memname">int PAIR_FP256BN_GTmember </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 instance </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if x is in GT, else return 0 </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a545c2d67667408b3b203e40bc0bfd709">&#9670;&nbsp;</a></span>PAIR_FP256BN_GTpow()</h2>
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<td class="memname">void PAIR_FP256BN_GTpow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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<td></td>
<td>)</td>
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<p>May exploit endomorphism for speed. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 member of GT. </td></tr>
<tr><td class="paramname">b</td><td>BIG exponent </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3c4e82e9bdfb37dc3d2b834f44d03129"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3c4e82e9bdfb37dc3d2b834f44d03129">&#9670;&nbsp;</a></span>PAIR_FP256BN_initmp()</h2>
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<td class="memname">void PAIR_FP256BN_initmp </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a>&#160;</td>
<td class="paramname"><em>r</em>[]</td><td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP12 array, to be initialised to 1 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a47cb4a499cef8e07b8c440cd78a43c6d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a47cb4a499cef8e07b8c440cd78a43c6d">&#9670;&nbsp;</a></span>PAIR_FP256BN_miller()</h2>
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<td class="memname">void PAIR_FP256BN_miller </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a> *&#160;</td>
<td class="paramname"><em>res</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__FP256BN.html">FP12_FP256BN</a>&#160;</td>
<td class="paramname"><em>r</em>[]&#160;</td>
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<td></td>
<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">res</td><td>FP12 result </td></tr>
<tr><td class="paramname">r</td><td>FP12 precomputed array of accumulated line functions </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a340318adeb517e5440659c986101c713">&#9670;&nbsp;</a></span>PAIR_FP256BN_nbits()</h2>
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<td class="memname">int PAIR_FP256BN_nbits </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>n3</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>BIG parameter </td></tr>
<tr><td class="paramname">n3</td><td>BIG paramter = 3*n </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>number of nits in n3 </dd></dl>
</div>
</div>
<h2 class="groupheader">Variable Documentation</h2>
<a id="a552cc467dca5ee3d00e51754c7d411c6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a552cc467dca5ee3d00e51754c7d411c6">&#9670;&nbsp;</a></span>CURVE_BB_FP256BN</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_BB_FP256BN[4][4]</td>
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<p>BN curve constant for GS decomposition </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a32d6454dbe379414cbf371501bdfa14c">&#9670;&nbsp;</a></span>CURVE_Bnx_FP256BN</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Bnx_FP256BN</td>
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<p>BN curve x parameter </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a1e4a40fa73fb46a0226ee1252b6dd9f3">&#9670;&nbsp;</a></span>CURVE_Cru_FP256BN</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Cru_FP256BN</td>
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<p>BN curve Cube Root of Unity </p>
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<a id="a54a2be05e5e394ddd45d2a5b21509182"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a54a2be05e5e394ddd45d2a5b21509182">&#9670;&nbsp;</a></span>CURVE_SB_FP256BN</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_SB_FP256BN[2][2]</td>
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<p>BN curve constant for GLV decomposition </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a4521adc0ede6afae5b82e75cd248484f">&#9670;&nbsp;</a></span>CURVE_W_FP256BN</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_W_FP256BN[2]</td>
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<p>BN curve constant for GLV decomposition </p>
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<a id="a78a202e723161e392bf420fb413a293b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a78a202e723161e392bf420fb413a293b">&#9670;&nbsp;</a></span>CURVE_WB_FP256BN</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_WB_FP256BN[4]</td>
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<p>BN curve constant for GS decomposition </p>
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