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<a href="#func-members">Functions</a> &#124;
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<div class="title">pair_FP512BN.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__FP512BN_8h_source.html">fp12_FP512BN.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="ecp2__FP512BN_8h_source.html">ecp2_FP512BN.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="ecp__FP512BN_8h_source.html">ecp_FP512BN.h</a>&quot;</code><br />
</div>
<p><a href="pair__FP512BN_8h_source.html">Go to the source code of this file.</a></p>
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Functions</h2></td></tr>
<tr class="memitem:addb9baf99c7f3c05c892f83eb05cc968"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#addb9baf99c7f3c05c892f83eb05cc968">PAIR_FP512BN_another</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> r[], <a class="el" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *PV, <a class="el" href="structECP__FP512BN.html">ECP_FP512BN</a> *QV)</td></tr>
<tr class="memdesc:addb9baf99c7f3c05c892f83eb05cc968"><td class="mdescLeft">&#160;</td><td class="mdescRight">Precompute line functions for n-pairing. <a href="#addb9baf99c7f3c05c892f83eb05cc968">More...</a><br /></td></tr>
<tr class="separator:addb9baf99c7f3c05c892f83eb05cc968"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a490d94042be5a94fc86afb718f306bf0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a490d94042be5a94fc86afb718f306bf0">PAIR_FP512BN_ate</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *r, <a class="el" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *P, <a class="el" href="structECP__FP512BN.html">ECP_FP512BN</a> *Q)</td></tr>
<tr class="memdesc:a490d94042be5a94fc86afb718f306bf0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Miller loop for Optimal ATE pairing e(P,Q) <a href="#a490d94042be5a94fc86afb718f306bf0">More...</a><br /></td></tr>
<tr class="separator:a490d94042be5a94fc86afb718f306bf0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2060671f7ed18fc80907e78d42cd9b47"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a2060671f7ed18fc80907e78d42cd9b47">PAIR_FP512BN_double_ate</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *r, <a class="el" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *P, <a class="el" href="structECP__FP512BN.html">ECP_FP512BN</a> *Q, <a class="el" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *R, <a class="el" href="structECP__FP512BN.html">ECP_FP512BN</a> *S)</td></tr>
<tr class="memdesc:a2060671f7ed18fc80907e78d42cd9b47"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S) <a href="#a2060671f7ed18fc80907e78d42cd9b47">More...</a><br /></td></tr>
<tr class="separator:a2060671f7ed18fc80907e78d42cd9b47"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac9984f2d5c627889d6819a0a42200425"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#ac9984f2d5c627889d6819a0a42200425">PAIR_FP512BN_fexp</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr>
<tr class="memdesc:ac9984f2d5c627889d6819a0a42200425"><td class="mdescLeft">&#160;</td><td class="mdescRight">Final exponentiation of pairing, converts output of Miller loop to element in GT. <a href="#ac9984f2d5c627889d6819a0a42200425">More...</a><br /></td></tr>
<tr class="separator:ac9984f2d5c627889d6819a0a42200425"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a30d8f297d036b66d0b72738c38cabd1a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a30d8f297d036b66d0b72738c38cabd1a">PAIR_FP512BN_G1mul</a> (<a class="el" href="structECP__FP512BN.html">ECP_FP512BN</a> *Q, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b)</td></tr>
<tr class="memdesc:a30d8f297d036b66d0b72738c38cabd1a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast point multiplication of a member of the group G1 by a BIG number. <a href="#a30d8f297d036b66d0b72738c38cabd1a">More...</a><br /></td></tr>
<tr class="separator:a30d8f297d036b66d0b72738c38cabd1a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a64772a99687b9a6ec9755779ce196ab1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a64772a99687b9a6ec9755779ce196ab1">PAIR_FP512BN_G2mul</a> (<a class="el" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *P, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b)</td></tr>
<tr class="memdesc:a64772a99687b9a6ec9755779ce196ab1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast point multiplication of a member of the group G2 by a BIG number. <a href="#a64772a99687b9a6ec9755779ce196ab1">More...</a><br /></td></tr>
<tr class="separator:a64772a99687b9a6ec9755779ce196ab1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9db1a72fd40bd20f3891e3f66356ef53"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a9db1a72fd40bd20f3891e3f66356ef53">PAIR_FP512BN_GTpow</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b)</td></tr>
<tr class="memdesc:a9db1a72fd40bd20f3891e3f66356ef53"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast raising of a member of GT to a BIG power. <a href="#a9db1a72fd40bd20f3891e3f66356ef53">More...</a><br /></td></tr>
<tr class="separator:a9db1a72fd40bd20f3891e3f66356ef53"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7f097b0c590545af878fd4c6fdf766aa"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a7f097b0c590545af878fd4c6fdf766aa">PAIR_FP512BN_GTmember</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a7f097b0c590545af878fd4c6fdf766aa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests FP12 for membership of GT. <a href="#a7f097b0c590545af878fd4c6fdf766aa">More...</a><br /></td></tr>
<tr class="separator:a7f097b0c590545af878fd4c6fdf766aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a63495d10ae7efa053daf4fe1c7f092a3"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a63495d10ae7efa053daf4fe1c7f092a3">PAIR_FP512BN_nbits</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> n3, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> n)</td></tr>
<tr class="memdesc:a63495d10ae7efa053daf4fe1c7f092a3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prepare Ate parameter. <a href="#a63495d10ae7efa053daf4fe1c7f092a3">More...</a><br /></td></tr>
<tr class="separator:a63495d10ae7efa053daf4fe1c7f092a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ada64af2c0037b24da15149a15006cf7a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#ada64af2c0037b24da15149a15006cf7a">PAIR_FP512BN_initmp</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> r[])</td></tr>
<tr class="memdesc:ada64af2c0037b24da15149a15006cf7a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise structure for multi-pairing. <a href="#ada64af2c0037b24da15149a15006cf7a">More...</a><br /></td></tr>
<tr class="separator:ada64af2c0037b24da15149a15006cf7a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abd4a4760af3759f4508f91f17814a3e6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#abd4a4760af3759f4508f91f17814a3e6">PAIR_FP512BN_miller</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *res, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> r[])</td></tr>
<tr class="memdesc:abd4a4760af3759f4508f91f17814a3e6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Miller loop. <a href="#abd4a4760af3759f4508f91f17814a3e6">More...</a><br /></td></tr>
<tr class="separator:abd4a4760af3759f4508f91f17814a3e6"><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:a9295120c8bc5f87ec3beee2f2b368c36"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a9295120c8bc5f87ec3beee2f2b368c36">CURVE_Bnx_FP512BN</a></td></tr>
<tr class="separator:a9295120c8bc5f87ec3beee2f2b368c36"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2cbeec7c489096de65a000f9f0b96ca0"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a2cbeec7c489096de65a000f9f0b96ca0">CURVE_Cru_FP512BN</a></td></tr>
<tr class="separator:a2cbeec7c489096de65a000f9f0b96ca0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa30bd494d22b536ca5d247674c394bea"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#aa30bd494d22b536ca5d247674c394bea">CURVE_W_FP512BN</a> [2]</td></tr>
<tr class="separator:aa30bd494d22b536ca5d247674c394bea"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa9c96b7b8f982ae7ae594218d6aee2f6"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#aa9c96b7b8f982ae7ae594218d6aee2f6">CURVE_SB_FP512BN</a> [2][2]</td></tr>
<tr class="separator:aa9c96b7b8f982ae7ae594218d6aee2f6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a71f89bc43d50f3f3f3161c5d9337fd49"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#a71f89bc43d50f3f3f3161c5d9337fd49">CURVE_WB_FP512BN</a> [4]</td></tr>
<tr class="separator:a71f89bc43d50f3f3f3161c5d9337fd49"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa4b8d3bf44351f475ba69561eaac3a1b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="pair__FP512BN_8h.html#aa4b8d3bf44351f475ba69561eaac3a1b">CURVE_BB_FP512BN</a> [4][4]</td></tr>
<tr class="separator:aa4b8d3bf44351f475ba69561eaac3a1b"><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="addb9baf99c7f3c05c892f83eb05cc968"></a>
<h2 class="memtitle"><span class="permalink"><a href="#addb9baf99c7f3c05c892f83eb05cc968">&#9670;&nbsp;</a></span>PAIR_FP512BN_another()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void PAIR_FP512BN_another </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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__FP512BN.html">ECP2_FP512BN</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__FP512BN.html">ECP_FP512BN</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="a490d94042be5a94fc86afb718f306bf0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a490d94042be5a94fc86afb718f306bf0">&#9670;&nbsp;</a></span>PAIR_FP512BN_ate()</h2>
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<td class="memname">void PAIR_FP512BN_ate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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__FP512BN.html">ECP2_FP512BN</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__FP512BN.html">ECP_FP512BN</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="a2060671f7ed18fc80907e78d42cd9b47"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2060671f7ed18fc80907e78d42cd9b47">&#9670;&nbsp;</a></span>PAIR_FP512BN_double_ate()</h2>
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<div class="memproto">
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<td class="memname">void PAIR_FP512BN_double_ate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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__FP512BN.html">ECP2_FP512BN</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__FP512BN.html">ECP_FP512BN</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__FP512BN.html">ECP2_FP512BN</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__FP512BN.html">ECP_FP512BN</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="#ac9984f2d5c627889d6819a0a42200425">&#9670;&nbsp;</a></span>PAIR_FP512BN_fexp()</h2>
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<td class="memname">void PAIR_FP512BN_fexp </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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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<a id="a30d8f297d036b66d0b72738c38cabd1a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a30d8f297d036b66d0b72738c38cabd1a">&#9670;&nbsp;</a></span>PAIR_FP512BN_G1mul()</h2>
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<td class="memname">void PAIR_FP512BN_G1mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__FP512BN.html">ECP_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a64772a99687b9a6ec9755779ce196ab1">&#9670;&nbsp;</a></span>PAIR_FP512BN_G2mul()</h2>
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<td class="memname">void PAIR_FP512BN_G2mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP2__FP512BN.html">ECP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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">P</td><td>ECP2 member of G1. </td></tr>
<tr><td class="paramname">b</td><td>BIG multiplier </td></tr>
</table>
</dd>
</dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a7f097b0c590545af878fd4c6fdf766aa">&#9670;&nbsp;</a></span>PAIR_FP512BN_GTmember()</h2>
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<td class="memname">int PAIR_FP512BN_GTmember </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *&#160;</td>
<td class="paramname"><em>x</em></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>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a9db1a72fd40bd20f3891e3f66356ef53">&#9670;&nbsp;</a></span>PAIR_FP512BN_GTpow()</h2>
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<td class="memname">void PAIR_FP512BN_GTpow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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">x</td><td>FP12 member of GT. </td></tr>
<tr><td class="paramname">b</td><td>BIG exponent </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ada64af2c0037b24da15149a15006cf7a">&#9670;&nbsp;</a></span>PAIR_FP512BN_initmp()</h2>
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<td class="memname">void PAIR_FP512BN_initmp </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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>
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<h2 class="memtitle"><span class="permalink"><a href="#abd4a4760af3759f4508f91f17814a3e6">&#9670;&nbsp;</a></span>PAIR_FP512BN_miller()</h2>
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<td class="memname">void PAIR_FP512BN_miller </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *&#160;</td>
<td class="paramname"><em>res</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a63495d10ae7efa053daf4fe1c7f092a3">&#9670;&nbsp;</a></span>PAIR_FP512BN_nbits()</h2>
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<td class="memname">int PAIR_FP512BN_nbits </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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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>
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<h2 class="memtitle"><span class="permalink"><a href="#aa4b8d3bf44351f475ba69561eaac3a1b">&#9670;&nbsp;</a></span>CURVE_BB_FP512BN</h2>
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<td class="memname">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> CURVE_BB_FP512BN[4][4]</td>
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<p>BN curve constant for GS decomposition </p>
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<a id="a9295120c8bc5f87ec3beee2f2b368c36"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9295120c8bc5f87ec3beee2f2b368c36">&#9670;&nbsp;</a></span>CURVE_Bnx_FP512BN</h2>
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<td class="memname">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> CURVE_Bnx_FP512BN</td>
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<p>BN curve x parameter </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2cbeec7c489096de65a000f9f0b96ca0">&#9670;&nbsp;</a></span>CURVE_Cru_FP512BN</h2>
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<td class="memname">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> CURVE_Cru_FP512BN</td>
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<p>BN curve Cube Root of Unity </p>
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<a id="aa9c96b7b8f982ae7ae594218d6aee2f6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa9c96b7b8f982ae7ae594218d6aee2f6">&#9670;&nbsp;</a></span>CURVE_SB_FP512BN</h2>
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<td class="memname">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> CURVE_SB_FP512BN[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="#aa30bd494d22b536ca5d247674c394bea">&#9670;&nbsp;</a></span>CURVE_W_FP512BN</h2>
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<td class="memname">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> CURVE_W_FP512BN[2]</td>
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<p>BN curve constant for GLV decomposition </p>
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<a id="a71f89bc43d50f3f3f3161c5d9337fd49"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a71f89bc43d50f3f3f3161c5d9337fd49">&#9670;&nbsp;</a></span>CURVE_WB_FP512BN</h2>
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<td class="memname">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> CURVE_WB_FP512BN[4]</td>
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<p>BN curve constant for GS decomposition </p>
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